this is because the resistors cause the energy that is flowing through to go at a slower rate and this helps preserve a battery or power source. also it can be used as a trip for a alarm.
As more resistors are added in series to a constant voltage source, the current drawn from the source decreases, and as a result, the power supplied by the source also decreases, assuming the voltage remains constant.
Let's consider Ohm's Law, which states that the current (I) flowing through a circuit is directly proportional to the voltage (V) and inversely proportional to the resistance (R):
[tex]\[ I = \frac{V}{R} \][/tex]
The power (P) dissipated by a resistor is given by:
[tex]\[ P = I^2R \][/tex]
or, using Ohm's Law to eliminate I:
[tex]\[ P = \left(\frac{V}{R}\right)^2R = \frac{V^2}{R} \][/tex]
When resistors are added in series, the total resistance ([tex]R_total[/tex]) is the sum of the individual resistances:
[tex]\[ R_{total} = R_1 + R_2 + R_3 + \ldots \][/tex]
As [tex]R_total[/tex] increases, the current I decreases according to Ohm's Law. However, the power supplied by the source is not solely determined by the current; it is also influenced by the voltage and resistance.
If we keep the voltage constant and increase the resistance by adding more resistors in series, the power supplied by the source can be calculated using the formula:
[tex]\[ P_{source} = V \times I = V \times \frac{V}{R_{total}} = \frac{V^2}{R_{total}} \][/tex]
As [tex]R_{total}[/tex] increases, the denominator in the power equation increases, which means that the power supplied by the source will decrease if the voltage remains constant.
What type of triangle has one set of perpendicular lines
The "legs" of a right triangle form a right angle, so they're perpendicular.
What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56×104v/m and a magnetic field of 4.62×10−3t with both fields normal to the beam and to each other, produces no deflection of the electrons?When the electric field is removed, what is the radius of the electron orbit?What is the period of the orbit?
1) [tex]3.38\cdot 10^6 m/s[/tex]
When both the electric field and the magnetic field are acting on the electron normal to the beam and normal to each other, the electric force and the magnetic force on the electron have opposite directions: in order to produce no deflection on the electron beam, the two forces must be equal in magnitude
[tex]F_E = F_B\\qE = qvB[/tex]
where
q is the electron charge
E is the magnitude of the electric field
v is the electron speed
B is the magnitude of the magnetic field
Solving the formula for v, we find
[tex]v=\frac{E}{B}=\frac{1.56\cdot 10^4 V/m}{4.62\cdot 10^{-3} T}=3.38\cdot 10^6 m/s[/tex]
2) 4.1 mm
When the electric field is removed, only the magnetic force acts on the electron, providing the centripetal force that keeps the electron in a circular path:
[tex]qvB=m\frac{v^2}{r}[/tex]
where m is the mass of the electron and r is the radius of the trajectory. Solving the formula for r, we find
[tex]r=\frac{mv}{qB}=\frac{(9.1 \cdot 10^{-31} kg)(3.38\cdot 10^6 m/s)}{(1.6\cdot 10^{-19} C)(4.62\cdot 10^{-3}T)}=4.2\cdot 10^{-3} m=4.1 mm[/tex]
3) [tex]7.6\cdot 10^{-9}s[/tex]
The speed of the electron in the circular trajectory is equal to the ratio between the circumference of the orbit, [tex]2 \pi r[/tex], and the period, T:
[tex]v=\frac{2\pi r}{T}[/tex]
Solving the equation for T and using the results found in 1) and 2), we find the period of the orbit:
[tex]T=\frac{2\pi r}{v}=\frac{2\pi (4.1\cdot 10^{-3} m)}{3.38\cdot 10^6 m/s}=7.6\cdot 10^{-9}s[/tex]
What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56×104V/m and a magnetic field of 4.62×10−3T, with both fields normal to the beam and to each other, produces no deflection of the electrons?
Express your answer in meters per second.
v =
3.38×106
m/s
Previous Answers
Correct
Part BPart complete
When the electric field is removed, what is the radius of the electron orbit?
Express your answer in meters.
R =
4.16×10−3
m
Previous Answers
Correct
Correct answer is shown. Your answer .0041 m was either rounded differently or used a different number of significant figures than required for this part.
Part CPart complete
What is the period of the orbit?
Express your answer in seconds.
T =
7.74×10−9
s
Previous Answers
Correct
Correct answer is shown. Your answer 7.6⋅10−9 = 7.6×10−9 s was either rounded differently or used a different number of significant figures than required for this part.
When the distance between two stars decreases by one-third, the force between them ___
Final answer:
When the distance between two stars decreases by one-third, the gravitational force between them increases by a factor of 9, according to the inverse square law.
Explanation:
When the distance between two stars decreases, the force between them is goverened by the inverse square law. This law states that the gravitational force between two objects is inversely proportional to the square of the distance between their centers.
For example, if the distance between two stars decreases to one-third of its original distance, the calculation to find the new force is as follows:
Let F be the original force.
Let the original distance be d.
If the distance decreases to (1/3)d, according to the inverse square law, the new force will be F' = F × (⅓)^-2 = F × (3/1)^2 = 9F.
Thus, when the distance between the two stars decreases by one-third, the force will increase by a factor of 9.
The principal advantage of sending electric power across country on very high voltage transmission lines is that
The principal advantage of sending electric power across country on very high voltage transmission lines is that it minimizes the power loss due to resistance in conductors.
Explanation:To answer this question, we must keep in mind the relationship between power, current and resistance, that can be written as:
[tex]P=I^2R[/tex]
So power is dissipated as heat. From the equation, the power loss in the transmission line is proportional to [tex]I^2[/tex]. Another relationship we need to talk about is between power, current and voltage:
[tex]P=VI[/tex]
As you can see, current is inversely proportional to voltage, so if you increase the voltage, then the current decrease and the power loss also decreases.
ANSWER TRUE OR FALSE: longer days in the summer help to make summer warmer
I'm pretty sure the answer is false.
A crane lowers a steel girder into place at a construction site. The girder moves with constant speed. Consider the work Wg done by gravity and the work WT done by the tension in the cable. Which of the following is correct? 1. Wg is positive and WT is positive. 2. Wg is negative and WT is negative. 3. Wg is positive and WT is negative. 4. Wg and WT are both zero. 5. Wg is negative and WT is positive.
Answer:
3. Wg is positive and WT is negative.
Explanation:
The work done by a force is given by:
[tex]W=Fdcos \theta[/tex]
where
F is the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the directions of F and d
This means that:
- When force and displacement are parallel, [tex]\theta=0, cos \theta=+1[/tex], so the work done is positive
- When force and displacement are anti-parallel, [tex]\theta=180^{\circ}, cos \theta=-1[/tex], so the work done is negative
In this case, the crane is moving downward. The force of gravity is also downward, while the tension in the cable is upward. so we have:
- Wg is positive, because gravity is parallel to the displacement
- Wt is negative, because the tension is opposite to the displacement
The work done by gravity, Wg, when a steel girder is lowered by a crane with constant speed is positive, while the work done by the tension in the cable, WT, is negative. This is due to the direction of these forces in relation to the girder's movement. Hence, the correct statement is 'Wg is positive and WT is negative'.
Explanation:The student question is about the work done by gravity (Wg) and the work done by the tension in the cable (WT) as a crane lowers a steel girder with constant speed. To understand this, we must adopt Newton's laws and the principle of work-energy theorem. When the girder is lowered, being pulled towards the ground, the work done by gravity, Wg, is considered positive as the displacement is in the same direction of the force. On the contrary, the work done by the tension in the cable, WT, is negative. This is because the tension in the cable acts opposite to the direction of displacement, counteracting the force of gravity to control the descent of the girder.
Therefore, the correct option is 3. Wg is positive and WT is negative. This is because of the directional components of these forces acting on lowering the girder. Such forces and their interactions illustrate the basic principles of physics, such as Newton's laws and the work-energy theorem which inform on how objects move and interact.
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If an ideal monatomic gas undergoes an adiabatic expansion, in which the volume increases by a factor of 4.0, by what factor does the pressure change?
a) 2.1
b) 1.7
c) 0.52
d) 0.25
e) 0.099
Answer:
e) 0.099
Explanation:
For an adiabatic expansion:
[tex]P_1 V_1^{\gamma} = P_2 V_2^{\gamma}[/tex]
where
P1 is the initial pressure
P2 is the final pressure
V1 is the initial volume
V2 is the final volume
[tex]\gamma[/tex] is the adiabatic index (which is [tex]\frac{5}{3}[/tex] for an ideal monoatomic gas
In this problem, we have
[tex]V_2 = 4 V_1[/tex] since the volume increases by a factor 4
We can re-write the equation to find by what factor the pressure changes:
[tex]\frac{P_2}{P_1}=(\frac{V_1}{V_2})^{\gamma}=(\frac{V_1}{4V_1})^{5/3}=(\frac{1}{4})^{5/3}=0.099[/tex]
What is the difference between transverse waves and longitudinal waves?
A.both move perpendicularly to the direction of energy movement
B.transverse waves move parallel and longitudinal waves move perpendicular to the direction of energy movement
C.both move parallel to the direction of energy movement
D.transverse waves move perpendicular and longitudinal waves move parallel to the direction of energy movement
Answer:
D.transverse waves move perpendicular and longitudinal waves move parallel to the direction of energy movement
Explanation:
Transverse wave : It is defined as the wave in which the the vibration of the particles of the medium through which the wave travel is perpendicular to the direction of motion of the wave. Example : electromagnetic wave
Longitudinal wave : It is defined as the wave in which the the vibration of the particles of the medium through which the wave travel is parallel to the direction of motion of the wave. example : Sound wave
The difference between transverse waves and longitudinal waves is that transverse waves move perpendicular and longitudinal waves move parallel to the direction of energy movement; option D.
What are transverse waves?Transverse waves are waves whose durection is perpendicular to the the direction of tye vibration of the medium.
Examples of transverse waves are light waves, gamma rays, etc.
What are longitudinal waves?Longitudinal waves are waves which travel in the same direction as the vibration of the medium.
Examples of longitudinal waves are sound waves in air.
Therefore, the difference between transverse waves and longitudinal waves is that transverse waves move perpendicular and longitudinal waves move parallel to the direction of energy movement.
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Select the sentences about the physical nature of light that are true. Check all that apply. Check all that apply. Blue light has a wavelength of 750 nm, the longest wavelength of visible light, and red has a wavelength of 500 nm. Light is electromagnetic radiation, a type of energy embodied in oscillating electric and magnetic fields. The units of frequency are distance per second. The more closely spaced the waves, that is, the longer the wavelength, the more energy there is. Grass appears green because it reflects primarily the wavelength associated with green light and absorbs the others. Light in a vacuum travels at 3.00×108mph. Electromagnetic radiation can be characterized by wavelength, amplitude, and frequency. The presence of a variety of wavelengths in white light is responsible for the way we perceive colors in objects.
Correct options:
- Blue light has a wavelength of 750 nm, the longest wavelength of visible light, and red has a wavelength of 500 nm. --> FALSE. It's actually the opposite: blue light has a wavelength of approx. 500 nm, while red has a wavelength of 750 nm, the longest wavelength of visible light.
- Light is electromagnetic radiation, a type of energy embodied in oscillating electric and magnetic fields. --> TRUE. Electromagntic radiation is a type of transverse waves, consisting of electric and magnetic fields oscillating perpendicularly to each other.
- The units of frequency are distance per second. --> FALSE. Frequency is measured in Hertz (Hz), which corresponds to 1/seconds ([tex]s^{-1}[/tex].
- The more closely spaced the waves, that is, the longer the wavelength, the more energy there is. --> FALSE. The energy of an electromagnetic wave is inversely proportional to the wavelength:
[tex]E=\frac{hc}{\lambda}[/tex]
that means, the longer the wavelength, the less energy there is.
- Grass appears green because it reflects primarily the wavelength associated with green light and absorbs the others. --> TRUE. The color of the objects as we see them corresponds to the color they reflect, while all the other colors are absorbed by the object.
- Light in a vacuum travels at 3.00×108mph. --> FALSE. The units are wrong: the speed of light in a vacuum is [tex]3.00\cdot 10^8 m/s[/tex].
- Electromagnetic radiation can be characterized by wavelength, amplitude, and frequency. --> TRUE. Wavelength is the distance between two consecutive crests, amplitude is the maximum displacement of the wave relative to the equilibrium position, frequency is the number of oscillations per second.
- The presence of a variety of wavelengths in white light is responsible for the way we perceive colors in objects. --> TRUE. White light consists of many different colors, and depending on which of them are absorbed/reflected by the objects, we perceive them in different ways.
Answer: the question is what are the colors of visible light.
Explanation: red, orange, yellow, green, blue, indigo, and violet.
Which state of matter has the highest entropy
Entropy is the measure of the disorder of a system and is a function of state. That is, it depends only on the state of the system.
In this sense, in the gaseous state is where the greatest entropy occurs, since in a gas the particles acquire greater freedom and kinetic energy to move.
Another aspect that influences the increase in entropy is the increase in temperature. This is because, when raising the temperature, the kinetic energy of the molecules, atoms or ions increases, and, therefore, they move more.
. List five endothermic reactions that are going on around you.
Endothermic reactions are chemical processes that absorb heat. Examples are photosynthesis, melting ice, sweating, baking bread, and the use of cold pack for injuries.
Explanation:Endothermic reactions are chemical processes that absorb heat from the surroundings, the opposite of exothermic reactions which release heat. Here are five examples of endothermic reactions that may occur around you:
Photosynthesis: In plants, sunlight is absorbed and used to convert carbon dioxide and water into glucose and oxygen.Ice melting: When ice melts, it absorbs heat from the surroundings and transforms from a solid into a liquid.Sweating: When the sweat on your skin evaporates, it absorbs heat from your body, helping to cool you down.Baking bread: The process of baking involves the absorption of heat, causing the dough to rise.Use of a cold pack for injuries: By mixing water and ammonium nitrate, the resulting process absorbs heat and cools down the injury.Learn more about Endothermic Reactions here:https://brainly.com/question/23184814
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A uniform electric field of magnitude 112 kV/m is directed upward in a region of space. A uniform magnetic field of magnitude 0.82 T perpendicular to the electric field also exists in this region. A beam of positively charged particles travels into the region. Determine the speed of the particles at which they will not be deflected by the crossed electric and magnetic fields. (Assume the beam of particles travels perpendicularly to both fields.)
The velocity at which charged particles will not be deflected by crossed electric and magnetic fields (velocity filter) is determined by the equation v = E/B. For an electric field of 112 kV/m and a magnetic field of 0.82 T, the required velocity is approximately 136585.37 m/s.
The student's question involves determining the velocity of charged particles traveling through crossed electric and magnetic fields without being deflected. This is a classic physics problem that illustrates the concept of a velocity filter. The electric force acting on a particle with charge q in an electric field E is given by Felectric = qE. The magnetic force on a particle moving with velocity v perpendicularly through a magnetic field B is given by Fmagnetic = qvB. For the particle to pass through the fields without deflection, these two forces must be equal in magnitude but opposite in direction.
By setting Felectric equal to Fmagnetic and solving for v, we find the velocity v at which the charged particle will not be deflected:
v = E/B
Substituting the given magnitudes for the electric and magnetic fields (E = 112 kV/m and B = 0.82 T), we calculate:
v = (112 x [tex]10^3[/tex] V/m) / (0.82 T) = approximately 136585.37 m/s
Therefore, the speed at which the particles will not be deflected by the crossed fields is approximately 136585.37 m/s.
How do protons, neutrons, and electrons determine the properties of an atom?
(Please explain for someone who doesn't understand this stuff)
Answer:
Number of protons = Number of electrons
Protons = positively charged atoms
Electrons = negatively charged atom
Neutrons = no charge atoms
The number of protons = electrons because the charge can cancel themselves out
Number of electrons = Determines boiling/ melting point
Lots of electrons = High boiling/ melting point
Low number of electrons = low boiling/ melting point
Explanation:
An archer shot a 0.06 kg arrow at a target. The arrow accelerated at 5,000 m/s2 to reach a speed of 50.0 m/s as it left the bow. During this acceleration, what was the net force on the arrow to the nearest newton?
Answer:
300 N
Explanation:
The net force acting on the arrow is given by Newton's Second Law:
[tex]F=ma[/tex]
where
m = 0.06 kg is the mass of the arrow
a = 5,000 m/s^2 is the acceleration of the arrow
Substituting the numbers into the equation, we find
[tex]F=(0.06 kg)(5,000 m/s^2)=300 N[/tex]
Answer:
300 N
Explanation:
because it is
Choose all of the following that are examples of electromagnetic radiation.Sound waves ,Microwaves, All of these, "The Force", Infared Waves, Water waves, Visible light, None of these
Answer:
Microwaves
Infrared Waves
Visible Light
Explanation:
Electromagnetic waves consist of oscillating electric and magnetic field, which vibrate in a direction perpendicular to the direction of motion of the wave (for this reason, they are called transverse waves).
Electromagnetic waves are the only waves that do not need a medium to propagate: in fact, they can travel through a vacuum as well.
Electromagnetic waves are classified into 7 different types depending on their frequency. From highest to lowest frequency, they are:
Gamma rays
X-rays
Ultraviolet
Visible light
Infrared Waves
Microwaves
Radio waves
All the other options are a different type of waves, called 'mechanical waves', therefore they are not electromagnetic waves.
The examples of electromagnetic radiation provided are Microwaves, Infrared Waves and Visible Light. Sound waves, water waves or 'The Force' are not considered electromagnetic radiation.
Explanation:The examples of electromagnetic radiation from the options provided are: Microwaves, Infrared Waves and Visible Light. Electromagnetic radiation refers to the waves of the electromagnetic field, propagating through space, carrying electromagnetic radiant energy. For instance, microwaves, infrared waves, and visible light are all types of electromagnetic radiation, differing in their wavelengths and frequencies.
Importantly, sound waves and water waves are not types of electromagnetic radiation as they require a medium to travel and are mechanical in nature. Also, 'The Force' is not related to this concept, it seems to be a reference to the Star Wars franchise.
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please help on this physics question?
the answer would be C
If you walk a distance of 8 blocks and then 3 blocks south from home, what is your position compared to home? What distance did you walk?
The position compared to that of home is a reference to displacement, I believe.
Displacement = x total - x initial
So I believe the answer is 5 blocks due north (if you’re walking linearly from your home), unless the questions is referring to relative displacement, in which then you’d need to use the Pythagorean theorem to find the hypotenuse between both positions. And then you’d have to find theta for the degrees between the south direction and the other unmentioned direction. But I don’t think that’s the case.
Distance refers to x total and doesn’t care for direction, as this refers to a scalar quantity opposed to a vector. Thus the equation is just
d = x
So 8 blocks + 3 blocks = a distance of eleven blocks walked total
An automobile whose speed is increasing at a rate of 0.800 m/s2 travels along a circular road of radius 10.0 m.
(a) When the instantaneous speed of the automobile is 3.00 m/s, find the tangential acceleration component.
(b) What is the centripetal acceleration component?
(c) Determine the magnitude and direction of the total acceleration.
(a) [tex]a_t = 0.800 m/s^2[/tex]
The tangential acceleration component of the car is simply equal to the change of the tangential speed divided by the time taken:
[tex]a_t = \frac{\Delta v}{\Delta t}[/tex]
This rate of change is already given by the problem, 0.800 m/s^2, so the tangential acceleration of the car is
[tex]a_t = 0.800 m/s^2[/tex]
(b) [tex]a_c = 0.9 m/s^2[/tex]
The centripetal acceleration component is given by
[tex]a_c = \frac{v^2}{r}[/tex]
where
v is the tangential speed
r is the radius of the trajectory
When the speed is v = 3.00 m/s, the centripetal acceleration is (the radius is r = 10.0 m):
[tex]a_c = \frac{(3.00 m/s)^2}{10.0 m}=0.9 m/s^2[/tex]
(c) [tex]1.2 m/s^2, 48.4^{\circ}[/tex]
The centripetal acceleration and the tangential acceleration are perpendicular to each other, so the magnitude of the total acceleration can be found by using Pythagorean's theorem:
[tex]a=\sqrt{a_t^2+a_c^2}=\sqrt{(0.8 m/s^2)^2+(0.9 m/s^2)^2}=1.2 m/s^2[/tex]
and the direction is given by:
[tex]tan \theta =\frac{a_c}{a_t}=\frac{0.9 m/s^2}{0.8 m/s^2}=1.125\\\theta=tan^{-1}(1.125)=48.4^{\circ}[/tex]
where the angle is measured with respect to the direction of the tangential acceleration.
Final answer:
The tangential acceleration component at 3.00 m/s is 0.800 m/s². The centripetal acceleration component is calculated to be 0.900 m/s². The magnitude of the total acceleration is approximately 1.20 m/s² and is found using the vector sum of the tangential and centripetal components.
Explanation:
Understanding Circular Motion and Acceleration
An automobile that is increasing its speed while traveling along a circular path experiences two components of acceleration: tangential acceleration and centripetal acceleration. Given a tangential acceleration of 0.800 m/s² and an instantaneous speed of 3.00 m/s, we can directly state that the tangential acceleration component is 0.800 m/s² as it defines how quickly the vehicle is speeding up along the path.
To find the centripetal acceleration component, we use the formula ac = v² / r, where v is the velocity and r is the radius. Plugging in the values, we calculate ac = (3.00 m/s)² / (10.0 m) = 0.900 m/s².
Finally, the magnitude of the total acceleration can be found by combining these two perpendicular components using the Pythagorean theorem: atotal = √(at² + ac²). Thus, atotal = √(0.8002 + 0.9002) which calculates to approximately 1.20 m/s². The direction of the total acceleration is the direction of the vector sum of the tangential and centripetal accelerations.
On a particle level, what happens when thermal conduction occurs within a liquid?
A.When fast particles rise to the top.
B.When slow particles sink to the bottom.
C.When particles stop moving.
D.When the average speed of particles is the same throughout the liquid.
Answer:
a) When fast particles rise to the top.
Explanation:
Heat is a form of energy that can be studied through the thermal agitation of the molecules that a material involves. When heat is delivered to a body, its temperature increases, the mobility of its molecules increases. In this way, the system is not in thermal equilibrium: the temperature at each point of the body is different and the variations over time.
There are three forms of heat transmission: conduction, convection and radiation. In conduction, heat is transferred only because of molecular movement and shocks between fast and slow molecules, without displacement of matter. Convection is due to the global movement of matter and is only important in liquids and gases. Radiation is an electromagnetic interaction between bodies and does not require the existence of a material means to transmit heat from one to another. The conduction of heat in a medium can be more or less favorable according to the material.
when the average speed of particles is the same throughout the liquid
Explanation:
It is correct to say that impulse is equal to
Answer:
Impulse is equal to the change in momentum
Explanation:
The impulse exerted on an object is given by:
[tex]I=F \Delta t[/tex]
where
F is the force exerted on the object
[tex]\Delta t[/tex] is the duration of the collision
We can re-write the force F by using Newton's second law, F = ma:
[tex]I=(ma)\Delta t[/tex]
where m is the mass of the object and a its acceleration. Now we can rewrite the acceleration as ratio between the change in velocity and the time elapsed:
[tex]I=m \frac{\Delta v}{\Delta t}=m \Delta v[/tex]
and the product [tex]m \Delta v[/tex] is the change in momentum of the object.
Impulse is equal to the change in momentum. It is calculated as the product of the net force and the time interval during which the force acted on an object.
Explanation:Conceptually, impulse signifies the effect of a net force that acts upon an object to change its state of motion. Impulse can be expressed mathematically as the product of the average force and the time interval during which the force acted on an object. This mathematical representation can be written as J = Δp = FnetΔt, where J represents impulse, Δp is the change in momentum, Fnet is the net force, and Δt is the time interval. Note that when force is variable, the total impulse is computed as the sum (integral) of all infinitesimal impulses.
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A sample of n2 gas occupies a volume of 746 ml at stp. What volume would n2 gas occupy at 155 ◦c at a pressure of 368 torr?
To determine the volume of N₂ gas at new conditions, use the combined gas law, converting temperatures to Kelvin and keeping volume units consistent. Solve for V2 using initial conditions of STP and final conditions of 155 °C and 368 torr.
Explanation:To find the volume of N₂ gas at 155 °C and a pressure of 368 torr, we first need to apply the Ideal Gas Law, but since we are comparing two states of the same amount of gas, we use the combined gas law which is P1V1/T1 = P2V2/T2. Remember that the temperature needs to be in Kelvin and the volume can stay in its units as long as they are consistent.
First, convert 155 °C to Kelvin: 155 + 273 = 428 K and note that STP conditions are 0 °C (which is 273 K) and 760 torr.
Then, use the formula with our known values:
P1 = 760 torr (standard pressure),
V1 = 746 ml (initial volume),
T1 = 273 K (standard temperature),
P2 = 368 torr (final pressure),
T2 = 428 K (final temperature).
Plugging the values into the equation and solving for V2 gives us the volume of gas at the new conditions. Make sure to perform all necessary conversions so that units are consistent (Kelvin for temperature, volume in mL or L, and pressure in torr or atm).
To find the new volume of the nitrogen gas, we use the combined gas law. After plugging in the given values and solving, the nitrogen gas will occupy approximately 3520 mL at 155°C and 368 torr.
To solve this problem, we will use the combined gas law which relates pressure, volume, and temperature of a gas. The combined gas law is given by:
([tex]P_1[/tex] * [tex]V_1[/tex]) / [tex]T_1[/tex] = ([tex]P_2[/tex] * [tex]V_2[/tex]) / [tex]T_2[/tex]Given data:
Initial volume ([tex]V_1[/tex]) = 746 mLInitial temperature ([tex]T_1[/tex]) = 0°C (273 K, since STP)Initial pressure ([tex]P_1[/tex]) = 1 atm (760 torr, since STP)Final temperature ([tex]T_2[/tex]) = 155°C (428 K)Final pressure ([tex]P_2[/tex]) = 368 torrFirst, we convert all pressures to the same unit (torr):Now, we use the combined gas law to find the final volume ([tex]V_2[/tex]):
(760 torr * 746 mL) / 273 K = (368 torr * [tex]V_2[/tex]) / 428 KSolve for [tex]V_2[/tex] :Thus, the nitrogen gas will occupy 3520 mL at 155°C and 368 torr.
Astronauts on the first trip to Mars take along a pendulumthat has a period on earth of 1.50 s. The period on Mars turns out to be 2.45 s.What is the free-fall acceleration onMars?
Answer:
3.68 m/s^2
Explanation:
The period of a pendulum is:
[tex]T=2 \pi \sqrt{\frac{L}{g}}[/tex]
where L is the length of the pendulum and g is the gravitational acceleration.
On Earth, T = 1.50 s and g = 9.8 m/s^2, so we can solve the formula for L to find the length of the pendulum:
[tex]L=g(\frac{T}{2 \pi})^2=(9.8 m/s^2)(\frac{1.50 s}{2\pi})^2=0.56 m[/tex]
The length of the pendulum remains the same on Mars, and since on Mars the period of the pendulum is T = 2.45 s, we can now solve the equation again for g, the gravitational acceleration on Mars:
[tex]g=(\frac{2\pi}{T})^2 L=(\frac{2\pi}{2.45 s})^2 (0.56 m)=3.68 m/s^2[/tex]
The free-fall acceleration on the Mars is 3.68 m/s².
Equivalent length of the pendulumThe length of the pendulum on mars is calculated as follows;
[tex]T = 2\pi \sqrt{\frac{L}{g} } \\\\L = \frac{T^2 g}{4\pi^2} \\\\L = \frac{(1.5)^2 \times 9.8}{4\pi ^2} \\\\L = 0.56 \ m[/tex]
Free- fall accelerationThe free-fall acceleration on the Mars is calculated as follows;
[tex]g = \frac{L4\pi ^2}{T^2} \\\\g = \frac{0.56 \times 4\pi ^2}{(2.45)^2} \\\\g = 3.68 \ m/s^2[/tex]
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As the kinetic energy of an object increases, so does the _________ energy produced. A) heat B) light C) atomic D) potential
Answer:
A) heat
Explanation:
As kinetic energy increases, so does the heat energy produced. The faster the molecules move, the more heat that is generated.
As the kinetic energy of an object increases, so does the heat energy, light energy, atomic energy or potential energy may be produced.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that
The total energy of the system is conserved in a closed system, also known as an isolated system.
Example of change of kinetic energy to heat energy: rubbing your hands together.
Example of change of kinetic energy to light energy: Scratching two stones with each other.
Example of change of kinetic energy to atomic energy: Fission in nuclear reactor.
Example of change of kinetic energy to potential energy: Blowing of balloon.
Hence, all options are correct.
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As the waves tracel from the left through the barrier,they produce a pattern on the right side.In a segment of this pattern,part of the wave tends to disappear.What phenomenon of waves this this pattern to occur?
The pattern on the right side is caused by the interference of waves. When two or more waves come into contact, they can interact and produce a pattern due to constructive or destructive interference. In this case, the disappearing part of the wave is the result of destructive interference.
Explanation:This phenomenon is known as interference. Interference occurs when two or more waves come into contact and interact with each other. In the case of the waves passing through the barrier, the interference results in a pattern on the right side where part of the wave tends to disappear. This pattern is caused by the superposition of the waves, where the peaks of one wave coincide with the troughs of another wave, leading to destructive interference and a reduction in the amplitude of the wave in certain regions.
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What is the purpose of the trial titration
The purpose of this titration is to give you a rough idea how much titrant is needed before you begin the actual titration.
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Answer:The purpose of this titration is to give you a rough idea how much titrant is needed before you begin the actual titration. Use a pipet to deliver a known amount of the analyte to the appropriate container (usually an Erlenmeyer flask) which has been cleaned and rinsed with distilled water.
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A uniform 4.4 t magnetic field points north. if an electron moves vertically downward (toward the ground) with a speed of 2.5 × 107 m/s through this field. the charge on a proton is 1.60×10−19 .
a.what is the magnitude of the force acting on it? answer in units of n.
The magnitude of the force acting on the electron is approximately 1.76x10^-11 N.
Explanation:To calculate the magnitude of the force acting on the electron, we can use the equation:
F = qvB
Where:
F is the force q is the charge of the particle v is the velocity of the particle B is the magnetic field
Plugging in the values:
q is the charge of an electron, which is -1.60x10-19 C v is the velocity of the electron, which is 2.5x107 m/s B is the magnetic field, which is 4.4 T
Now we can calculate the force:
F = (-1.60x10-19 C) * (2.5x107 m/s) * (4.4 T)
Simplifying the equation gives us:
F ≈ -1.76x10-11 N
Therefore, the magnitude of the force acting on the electron is approximately 1.76x10-11 N.
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Which of the following will cause an induced current in a coil of wire?the constant field of the earth passing through the coila magnet resting near the coila magnet being moved into or out of the coila wire carrying a constant current near the coil
Answer:
magnet being moved into or out of the coil
Explanation:
Electromagnetic induction occurs when there is a change in the magnetic flux through a closed coil of wire; when this occurs, an emf (electromotive force) is induced in the coil, and it is given by
[tex]\epsilon= -\frac{\Delta \Phi}{\Delta t}[/tex]
where
[tex]\Delta \Phi[/tex] is the variation of magnetic flux through the wire
[tex]\Delta t[/tex] is the time elapsed
From the formula, we see that an emf (and so, a current) is induced in the coil of wire only if there is a change in the magnetic flux through the coil. Among the options given, only the following one:
magnet being moved into or out of the coil
involves a change in the magnetic flux through the coil (because by moving the magnet into and out the coil, we change the strenght of the magnetic field crossing the area enclosed by the coil), so this is the right answer.
Corrosive substances are rarely harmful to human skin.
True False
Most problems addressed by the technological design process have only one solution.
True False
Corrosive substances are rarely harmful to human skin. This statement is False. Corrosive substances are ALMOST ALWAYS harmful to the skin.
Most problems addressed by the technological design process have only one solution. This statement is also False. There is more than one way to skin a cat.
Answer:
False. Corrosive substances are harmful to human skin.
False. Most problems addressed by the technological design process have more than one solution.
Explanation:
Corrosive substances have a high tendency to damage other substances which it comes in contact with. They could either by concentrated acid or a base which are very harmful to human skin. These have the capacity to destroy, disfigure or burn any part of human body that comes in contact with the substance.
Technological design is the process of developing appropriate knowledge into physical solutions to solve various problems. In technology, there are always more than a solution to a problem, as there are different ways to solve technological problems.
Thus, the answers to the two questions is false.
A solid object can be deformed in threee fundamental ways. Consider a block of steel that has sunk to the bottom of a lake. The deformation of the block due to water pressure is A. Compression and Tension B. Bulk C. Shear
The answer would be B) Bulk.
You see your friend 100 m away down the street. If you yell back and forth, your conversation will be affected by the speed of sound, which is 340 m/s. If, instead, you use your cell phone to call her on her cell phone, the conversation is relayed via a communications satellite that is 36000 km above you. What is the delay between a sound leaving your mouth and its arrival at your friend’s ear if (a) you yell, or (b) you use your cell phone? (c) How far would you have to be from your friend for the delays to be equal?
(a) 0.29 s
If you yell, your voice will reach your friend by travelling as a sound wave through the air.
The speed of sound in air is
v = 340 m/s
while the distance to be covered is
d = 100 m
So, the time taken is
[tex]t=\frac{d}{v}=\frac{100 m}{340 m/s}=0.29 s[/tex]
(b) 0.24 s
In this case, the voice is transmitted as a radio wave (electromagnetic wave) to the satellite and then back.
The speed of electromagnetic waves is the speed of light:
[tex]c=3\cdot 10^8 m/s[/tex]
while the distance the wave has to cover is twice the distance between the ground and the satellite:
[tex]d=2 \cdot 36000 km=72000 km=7.2 \cdot 10^7 m[/tex]
So, the time taken is
[tex]t=\frac{d}{c}=\frac{7.2\cdot 10^7 m}{3\cdot 10^8 m/s}=0.24 s[/tex]
(c) 81.6 m
In order for the two delays to be equal, the distance between you and your friend (d') must satisfy the equation
[tex]\frac{d'}{v}=\frac{d}{c}[/tex]
where on the left is the time taken by the sound to travel through the air, while on the right is the time taken by the radio wave to travel back and forth from the satellite.
Solving the equation for d',
[tex]d'=v\frac{d}{c}=(340 m/s)\frac{7.2\cdot 10^7 m}{3\cdot 10^8 m/s}=81.6 m[/tex]