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 answer would be C

The "legs" of a right triangle form a right angle, so they're perpendicular.

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.

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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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'.

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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(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]

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.

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.

The magnitude of the force acting on the electron is approximately 1.76x10^-11 N.

To calculate the magnitude of the force acting on the electron, we can use the equation:

F = qvB

Where:

Plugging in the values:

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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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

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.

I'm pretty sure the answer is false.

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.

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:

Given data:

Now, we use the combined gas law to find the final volume ([tex]V_2[/tex]):

Thus, the nitrogen gas will occupy 3520 mL at 155°C and 368 torr.

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:

The answer would be B) Bulk.

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.

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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(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

Endothermic reactions are chemical processes that absorb heat. Examples are photosynthesis, melting ice, sweating, baking bread, and the use of cold pack for injuries.

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:

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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.

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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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.

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.

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.

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.

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.

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.

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.

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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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.

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.

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.

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]

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.

The 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]

The 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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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: