Answer:
Both its velocity and acceleration is changing.
Explanation:
Before answering, we must remind that both velocity and acceleration are vectors, so they both consist of a magnitude and a direction.
We can easily answer the question by looking at the direction of the two vectors only. In a circular motion, in fact:
- The velocity is always tangential to the circular path --> this means that its direction changes at every instant, so velocity is not constant
- The acceleration always points towards the centre of the circular path --> this means that its direction changes at every instand, so acceleration is changing as well
The object moving in a circular path at a constant speed has a changing velocity due to the alteration in direction. Also, its acceleration is continuously changing, directed towards the center. So, both velocity and acceleration of the object are changing.
Explanation:In this scenario, the object is moving in a circular path at a constant speed v. The term speed refers to the magnitude of velocity, which is a scalar quantity. Velocity, on the other hand, is a vector quantity including both magnitude (speed) and direction. Even if the speed is constant, the changing direction as the object moves along the circular path means the velocity of the object is continually changing.
The acceleration of the object is also non-zero and is directed towards the center of the circular path. This is known as centripetal or radial acceleration. Therefore, although the speed of the object remains constant, its velocity (due to changes in direction) and acceleration (towards the center) are continuously changing. Hence, the statement 'Both its velocity and acceleration are changing' is accurate.
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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
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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What type of triangle has one set of perpendicular lines
The "legs" of a right triangle form a right angle, so they're perpendicular.
Participating in team sports can have a positive effect on all aspects of life. Please select the best answer from the choices provided. T F
Answer: True
Explanation:
Participating in team sports can lead to the development of healthy fellowship and brotherhood behavior among the participants. It induces team spirit and allows to lead a healthy competition. It can be a good recreational activity which can be used for removing the emotional and physiological stress. Hence, can improve positivity in all aspects of life.
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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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.
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:
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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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.
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:
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 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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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.
Which word means "to get away from something"?
a become b dream c escape d practice
The correct answer is - c. escape.
The word ''escape'' means to get away from something. This word can be used for multiple different situations, and it can refer to both physical and psychological matters.
In a physical sense it can be used to escape from certain unpleasant, or dangerous situation. Example: I have to escape from this prison.
In a psychological sense it can be used to escape, move away, from a certain state of mind. Example: I have to find an escape from my depressive thoughts.
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.
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]
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.
Can work be done on a system if there is no motion?
there is no motion in the direction of the force, then no work is done by that force. ... But the work done on the box is zero since by moving in a straight line at constant speed, its energy is remaining the same.
Work can be performed on a system without observable motion. An example of this is potential energy, where work is spent to change an object's state even if it doesn't result in movement. However, in general physics, work is defined as force multiplied by displacement.
Yes, work can be done on a system even if there is no observable motion. This is often the case when an object is experiencing balanced forces, meaning it remains static or in a state of Static Equilibrium. For instance, if you push a wall, you are exerting energy and doing 'work' but since the wall doesn't move, there is no physical work done.
Another example is potential energy, which is considered as 'stored energy'. It can be associated with the work done to change the position or state of an object, like stretching a spring or lifting a boulder; in these cases work is done even if there isn't resultant motion.
However, in physics, work is technically defined as the product of the force applied to an object and the distance over which that force is applied. Thus, if there is no movement or displacement, then no work is done according to the work-energy theorem. So, defining 'work' might be dependent on the context or specifics of a given problem.
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Nuclei that lie outside the ______ undergo spontaneous radioactive decay.
Nuclei outside the band of stability undergo radioactive decay, transforming into more stable isotopes. Instability does not necessarily mean rapid decay, as exemplified by uranium-238. Unstable nuclides like those experiencing beta decay transform into other elements or isotopes through the process of radioactive transformation.
Nuclei that lie outside the band of stability undergo spontaneous radioactive decay. These unstable nuclei that are to the left or to the right of the band on the chart of nuclides will transform into other nuclei that are in, or closer to, a state of stability. This decay changes the number of protons and neutrons in the nucleus, resulting in a different element or isotope that is more stable.
It's important to note that being "unstable" does not necessarily imply a substance will decay quickly. For instance, uranium-238 is a prime example of an unstable nucleus due to its ability to decay over a stretched period; while it is unstable, it does not instantly decompose.
All forms of beta decay are a consequence of the parent nuclide's instability, leading to a transformation that results in a subsequent product of decay. Terms like "radioactive transformation" may be more accurate than "decay," since the process involves the original nucleus splitting into new nuclei rather than vanishing entirely.
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]
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 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.
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.
A hydraulic lift is used to jack a 1170 kg car 13 cm off the floor. The diameter of the output piston is 18 cm, and the input force is 250 N.(a) What is the area of the input piston?m2(b) What is the work done in lifting the car 13 cm?J(c) If the input piston moves 13 cm in each stroke, how high does the car move up for each stroke?m(d) How many strokes are required to jack the car up 13 cm? (Include fractions of a stroke in your answer).(e) Calculate the combined work input of all of the strokes.
(a) [tex]5.45\cdot 10^{-4} m^2[/tex]
According to Pascal's principle, the pressure on the first piston is equal to the pressure on the second piston:
[tex]p_1 = p_2\\\frac{F_1}{A_1}=\frac{F_2}{A_2}[/tex] (1)
where
F1 = 250 N is the input force
A1 = ? is the area of the input piston
F2 is the output force
A2 is the area of the output piston
The output force is just the weight of the car:
[tex]F_2 = mg =(1170 kg)(9.8 m/s^2)=11,466 N[/tex]
The radius of the output piston is half the diameter: [tex]r=d/2=18 cm/2 = 9 cm =0.09 m[/tex], so its area is
[tex]A_2 = \pi r^2 = \pi (0.09 m)^2=0.025 m^2[/tex]
So we can solve eq.(1) for A1, the area of the first piston:
[tex]A_1 = A_2 \frac{F_1}{F_2}=(0.025 m^2)\frac{250 N}{11,466 N}=5.45\cdot 10^{-4} m^2[/tex]
(b) 1491 J
The work done in lifting the car 13 cm is equal to the gravitational potential energy gained by the car:
[tex]W=\Delta U=mg \Delta h[/tex]
where:
m = 1170 kg is the mass of the car
g = 9.8 m/s^2
[tex]\Delta h=13 cm=0.13 m[/tex] is the increase in height of the car
Substituting,
[tex]W=\Delta U=(1170 kg)(9.8 m/s^2)(0.13 m)=1491 J[/tex]
(c) 0.0028 m
Assuming the machine is 100% efficient and there is no waste of energy, the input work is equal to the output work:
[tex]W_i = W_o\\F_1 d_1 = F_2 d_2[/tex]
where
F1 = 250 N is the input force
d1 = 13 cm = 0.13 m is the displacement of the input piston
F2 = 11,466 N is the output force (the weight of the car)
d2 is the displacement of the output piston
Solving for d2,
[tex]d_2 =d_1 \frac{F_1}{F_2}=(0.13 m)\frac{250 N}{11466 N}=0.0028 m[/tex]
(d) 46 strokes
In order to lift the car up 13 cm (0.13 m), we have to divide this value by the displacement of the car for each stroke, so we have:
[tex]n=\frac{0.13 m}{0.0028 m}=46.4 \sim 46[/tex]
(e) 1491 J
The work done during all of the strokes is equal to the gravitational potential energy gained by the car while being lifted 13 cm, so it is equal to the value found in part b):
W = 1491 J
ANSWER TRUE OR FALSE: longer days in the summer help to make summer warmer
I'm pretty sure the answer 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.
please help on this physics question?
the answer would be C
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.
Learn more about Electromagnetic Radiation here:https://brainly.com/question/10759891
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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
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.