A 120-kg horizontal beam is supported at the ends a and b. a 350-kg piano rests a quarter of the way from the end a.
Part A
Determine the magnitude of the vertical force on the support at A.
Express your answer to two significant figures and include the appropriate units.
Part B
Determine the magnitude of the vertical force on the support at B.
Express your answer to two significant figures and include the appropriate units.

Answer:

the air has to be unstable as well as it needs to be moved upwards.

Explanation:

it needs to be moved upwards and also needs to have unstable air.

To measure the frictional torque exerted on the platform while it rotates, the student should use an experimental procedure involving a few different pieces of apparatus.

A form of force known as friction opposes the motion of two surfaces coming into contact. When two objects come into contact with one another, this force makes them oppose motion. Friction is what causes things to move more slowly, keeps them from slipping and sliding, and gives us a hold as we walk. It enables us to push or drag objects around as needed. The surface materials, surface area in contact, and pressure applied all affect how much friction there is between two objects.

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Answer:

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun.

Explanation:

hope this helps

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun. This order did the events forming our solar system occur.

In the so-called nebular hypothesis of the genesis of the solar system, the Sun and planets originated by condensation from a gaseous cloud. In 1734, Swedish philosopher Emanuel Swedenborg claimed that the planets arose from a nebular crust that enveloped the Sun before breaking apart. Immanuel Kant, a German philosopher, proposed in 1755 that the Sun and planets were created by a slow rotating nebula that was eventually pushed together by its own gravitational force and flattened into a spinning disc. In 1796, the French astronomer and mathematician Pierre-Simon Laplace presented a similar concept, but with the planets forming before the Sun. The Kant-Laplace theories were criticised by the British physicist James Clerk in the late nineteenth century.

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Answer: Frictional force is when it happens on purpose and normal force is when it happens normal and you are not trying to make it happen on purpose.

Explanation: friction happens on purpose and sometimes you can't control friction but friction is an important thing.

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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Answer:

-2.33 m/s²

Explanation:

The computation of the skateboarder’s acceleration is shown below;

Acceleration means the change in velocity per unit with respect to time.

In the given case, the initial velocity is 7 m/s.

As in the question it is mentioned that  it comes to a stop, so the final velocity would be zero.

And, The time elapsed is 3 seconds.

Now the following equation should be used  

a = (v,final - v,initial) ÷ t

=  (0 - 7)/3

= -2.33 m/s²

Answer: space race automobiles

Explanation:

they were used in space to get to planets

Answer:

if you stretch a spring with k = 2, with a force of 4N, the extension will be 2m. the work done by us here is 4x2=8J. in other words, the energy transferred to the spring is 8J. but, the stored energy in the spring equals 1/2x2x2^2=4J (which is half of the work done by us in stretching it).

The work done by the gas during the isothermal expansion is approximately -4125.40 J.  The calculation involves considering the gas constant, temperature, and initial and final volumes.

To calculate the work done by the gas during an isothermal expansion, we can use the formula:

W = -nRT ln(Vf/Vi)

Where:

W is the work done

n is the number of moles of the gas

R is the gas constant (8.314 J/(mol K))

T is the temperature in Kelvin

Vf is the final volume

Vi is the initial volume

Given:

n = 1 mole

R = 8.314 J/(mol K)

T = 20°C

= 293.15 K

Vi = 0.8 m³

Vf = 2.1 m³

Substituting the values into the formula:

W = -1 * 8.314 J/(mol K) * 293.15 K * ln(2.1 m³ / 0.8 m³)

≈ -4125.40 J

Therefore, the work done by the gas during the isothermal expansion is approximately -4125.40 J. The negative sign indicates work done on the gas.

By using the formula for work done during an isothermal expansion and substituting the given values, we calculated that the work done by the gas is approximately -4125.40 J. The negative sign indicates that work is done on the gas during the expansion. The calculation involves considering the gas constant, temperature, and initial and final volumes.

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It takes 3,190 J to increase the temperature of a 0.400 kg sample of glass from 273 k to 308k. The specific heat for this type of glass is 22.914 J/(kg K).

To calculate the specific heat of the glass, we can use the formula:

Q = mcΔT,

where Q is the heat energy transferred, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature.

Given:

Q = 3190 J,

m = 0.400 kg,

ΔT = 308 K - 273 K = 35 K.

Plugging in the values:

3190 J = (0.400 kg) × c × 35 K.

Now we can solve for c:

c = 3190 J / (0.400 kg × 35 K).

c ≈ 22.914 J/(kg K ).

Therefore, the specific heat for this type of glass is approximately 22.914 J/(kg K).

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The magnitude of electrical force on charge \(q_{3}\) due to the others is 0.102 newtons.

The vector position of each particle respect to origin are described below:

\(\vec r_{1} = (-0.500, 0)\,[m]\)

\(\vec r_{2} = (+0.500, 0)\,[m]\)

\(\vec r_{3} = (0, +0.500)\,[m]\)

Then, distances of the former two particles particles respect to the latter one are found now:

\(\vec r_{13} = (+0.500, +0.500)\,[m]\)

\(r_{13} = \sqrt{\vec r_{13}\,\bullet\,\vec r_{13}} = \sqrt{(0.500\,m)^{2}+(0.500\,m)^{2}}\)

\(r_{13} =\frac{\sqrt{2}}{2}\,m\)

\(\vec r_{23} = (-0.500, +0.500)\,[m]\)

\(r_{23} = \sqrt{\vec r_{23}\,\bullet \,\vec r_{23}} = \sqrt{(-0.500\,m)^{2}+(0.500\,m)^{2}}\)

\(r_{23} =\frac{\sqrt{2}}{2}\,m\)

The resultant force is found by Coulomb's law and principle of superposition:

\(\vec R = \vec F_{13}+\vec F_{23}\) (1)

Please notice that particles with charges of same sign attract each other and particles with charges of opposite sign repeal each other.

\(\vec R = \frac{k\cdot q_{1}\cdot q_{3}}{r_{13}^{2}}\cdot \vec u_{13} +\frac{k\cdot q_{2}\cdot q_{3}}{r_{23}^{2}}\cdot \vec u_{23}\) (2)

Where:

If we know that \(k = 8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}\), \(q_{1} = 2\times 10^{-6}\,C\), \(q_{2} = 2\times 10^{-6}\,C\), \(q_{3} = 2\times 10^{-6}\,C\), \(r_{13} =\frac{\sqrt{2}}{2}\,m\), \(r_{23} =\frac{\sqrt{2}}{2}\,m\), \(\vec u_{13} = \left(-\frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2} \right)\) and \(\vec u_{23} = \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\), then the vector force on charge \(q_{3}\) is:

\(\vec R = \frac{\left(8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (2\times 10^{-6}\,C)\cdot (2\times 10^{-6}\,C)}{\left(\frac{\sqrt{2}}{2}\,m \right)^{2}} \cdot \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) + \frac{\left(8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (2\times 10^{-6}\,C)\cdot (2\times 10^{-6}\,C)}{\left(\frac{\sqrt{2}}{2}\,m \right)^{2}} \cdot \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\)

\(\vec R = 0.072\cdot \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) + 0.072\cdot \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\,[N]\)

\(\vec R = 0.072\cdot \left(0, -\sqrt{2}\right)\,[N]\)

And the magnitude of the electrical force on charge \(q_{3}\) (\(R\)), in newtons, due to the others is found by Pythagorean theorem:

\(R = 0.102\,N\)

The magnitude of electrical force on charge \(q_{3}\) due to the others is 0.102 newtons. \(\blacksquare\)

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Answer:

The linear speed of the car is approximately 27.30 m/s

Explanation:

The question parameters are;

The mass of the person on the rollercoaster, m = 57.0 kg

The radius of the rollercoaster track, r = 42.7 m

The normal force felt by the person, F = 995 N

The centripetal force acting on the person keep the circular motion is given by the following equation;

\(Centripetal \, force \ F_c = \dfrac{m \times v^2}{r}\)

Where;

v = The linear velocity of motion = The linear speed of the car

The centrifugal force, F, is the force normal force felt by the person and is equal to the centripetal force, therefore, we have;

\(Centripetal \, force \ F_c = Centrifugal \, force \ F = \dfrac{m \times v^2}{r}\)

From which we have;

\(F = 995 = \dfrac{57 \times v^2}{42.7}\)

\(\therefore v = \sqrt{\dfrac{995 \times 42.7}{57} } \approx 745.38\)

The linear speed of the car = v ≈ 27.30 m/s

The angular speed of the car, ω = v/r ≈ 27.30/42.7 ≈ 0.639 rad/s

Answer: 18.1 m/s

Explanation:

One way that Accenture is seeking to achieve its sustainability goals is by integrating sustainability metrics into all of its client engagements.

What is sustainability?

Sustainability is the practice of using resources in a manner that meets the economic, social, and environmental needs of the present without compromising the ability of future generations to meet their own needs. It is a systemic approach to creating and maintaining conditions that allow people to thrive in the present without compromising the planet’s ability to support future generations.

This includes leveraging Accenture’s proprietary Sustainability Maturity Model, which provides a structured approach to measure and track sustainability performance. It also includes embedding sustainability into the design of client projects, developing strategies to enable clients to reach their sustainability goals, and exploring the potential of emerging technologies to accelerate progress. Additionally, Accenture is committed to providing its clients with data-driven insights and best practices that enable them to meet their sustainability objectives.

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The glass bead has a 0.001 m radius. The distance between the first and second points from the bead's center is 0.003 and 0.005 meters, respectively.

The radius of a circular is the distance a circle's center from any point along its perimeter. Usually, "R" or "r" is used to indicate it.

A radius is indeed a line segment that has one endpoint in the circle's center and the other terminus on the circumference of the circle. Circle's diameter equals the radius The diameter of a circle is a line segment that has its ends on the circle and passes through its center. Radius x 2 equals the diameter.

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C) fault-block mountain

Based on the given data, (a)  the acceleration of the first block is 1.45 m/s² ; (b) the tension in the cord is 5.15 N

To calculate the acceleration of the first block, we know that the tension in the string is same throughout.

Let, T be the tension in the string and a be the acceleration of the system.

Then, 3.55a = T... (i) and, 2.78g - T = 2.78a... (ii)

Multiplying equation (i) by 2.78 and adding to equation (ii),

2.78g - 2.78T + 3.55a * 2.78 = 2.78a + 2.78T5.32a = 2.78g... (iii)

=> a = 2.78g/5.32 = 1.45 m/s²

Therefore, the acceleration of the first block is 1.45 m/s².

To calculate the tension in the cord, putting a = 1.45 in equation (i),

T = 3.55a= 3.55 * 1.45= 5.15 N

Therefore, the tension in the cord is 5.15 N.

Thus, the correct answers are : (a) 1.45 m/s² ; (b) 5.15 N.

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The statement is based on objective measurements and calculations, it is a fact rather than an opinion.

The statement provides specific values for the force (500 N), distance (5 m), and time (10 s), and calculates the power to be 250 W. These values are based on objective measurements and can be verified through experimentation and calculation.

Power (P) = Work (W) / Time (t)

Work (W) = Force (F) x Distance (d)

Therefore,

Power (P) = Force (F) x Distance (d) / Time (t)

P = (500 N) x (5 m) / (10 s) = 250 W

Since the statement is based on objective measurements and calculations, it is a fact rather than an opinion.

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Answer:

Temperature change

Explanation:

The vertical velocity of the projectile increases but reaches zero at the maximum height and begins to decrease.

When we talk of the projectile, we are talking about the object that is moving along a parabolic path. Hence the object that is undergoing the projectile motion is going to have a curved path. Take an instance, when you kick a soccer ball, you have to notice that the ball would tend to curve as it moves up in the air and then begins to descend. That is a typical example of a projectile motion.

Now, we have to note that at the maximum height, the vertical velocity of the object would be zero. When I throw an object up, the vertical velocity of the object would continue to increase until the object reaches the maximum height where the vertical velocity is zero and then the vertical velocity of the object begins to decrease as shown in the image.

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The tennis ball takes approximately 0.582 seconds to reach its maximum height. The problem can be solved by putting the values of velocity, time and acceleration due to gravity in the formula of height.

To find the time it takes for the tennis ball to reach its maximum height, we can use the equation for vertical motion under constant acceleration, which is given by:

h = v0t - (1/2)gt^2

where h is the height, v0 is the initial velocity, t is the time, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.

In this case, we know the initial height and velocity, so we can solve for the time it takes to reach the maximum height (when the velocity is equal to 0 m/s):

h = v0t - (1/2)gt^2

1.3 = 8.2t - (1/2)(9.8)(t^2)

Rearranging and solving for t, we get:

4.9t^2 - 8.2t + 1.3 = 0

t = 0.582 s

So it takes approximately 0.582 seconds for the tennis ball to reach its maximum height.

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If you plot the voltage drop across a capacitor vs time for a capacitor discharging through a resistor, you would get an exponential decay plot.

This is because the voltage drop across the capacitor decreases exponentially over time as the capacitor discharges through the resistor. Initially, the voltage drop is high but as the capacitor discharges, the voltage drop decreases. The time constant of the circuit, which is the product of the resistance and the capacitance, determines the rate of decay of the voltage drop. As time goes on, the voltage drop across the capacitor will approach zero, and the capacitor will be fully discharged. This type of plot is commonly used in electronics to analyze circuits that involve capacitors and resistors. So, the answer to your question is b. Exponential decay.

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Hi there!

Recall the equation for gravitational potential energy:
\(GPE = U = mgh \)

m = mass (kg)
g = acceleration due to gravity (9.8 m/s²)

h = height (m)

We are given the GPE, so we can solve for mass:
\(86000 = m * 2000 * 9.8\)

Solve for m:
\(m = \frac{86000}{2000(9.8)} = \boxed{4.39 kg}\)

Answer:

Explanation: Let The force applied on a body be 'F', and the change in momentum of the body in 't' time is 'p' then according to the above statement:

1.    F∝ \(\frac{dp}{dt}\)

2.   F=k.\(\frac{dp}{dt}\)                        (where k is the proportionality constant)

3.   F=k.\(\frac{d(m.v)}{dt}\)                   (momentum = velocity x mass)

4.   F= k.(m.\(\frac{dv}{dt}+v\frac{dm}{dt}\))       (separation formula of derivation)

5.  F= \(k(m.a+v.0)\)  (at low-speed mass does not vary with time so, \(\frac{dm}{dt}=0\))

6. F= k.m.a              (for unit mass to produce 1 m/\(s^{2}\)  acceleration 1-newton force is required hence in SI units: k=1 )

7. F=m.a              (this is the equation for the second law of motion)

Their particles have the same total kinetic energy.

Kinetic energy is the energy an object has as a result of motion. It is defined as the amount of effort necessary to accelerate a body of a particular mass from rest to its current velocity.

The Kinematic Energy Law describes the relationship between an object's kinetic energy, mass, and square of its velocity. Kinetic energy is a form of energy that can be converted into other forms of energy, such as thermal energy or electrical energy.

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Answer:

Their particles have the same total kinetic energy.

Explanation:

The strong nuclear force, leptons do not interact with this force and include particles like electrons and muons.

Fundamental particles are the building blocks of matter and can be grouped into two categories based on their intrinsic properties and interactions with other particles: fermions and bosons. Fermions are the particles that make up matter and are divided into two subcategories: quarks and leptons. Leptons are fundamental particles that do not participate in the strong nuclear force, while quarks are particles that do participate in the strong nuclear force and are always found within hadrons, which are particles made up of quarks.

Hadrons are subdivided into two categories: baryons and mesons. Baryons are hadrons made up of three quarks, while mesons are hadrons made up of one quark and one antiquark. Some examples of baryons include the proton and the neutron, which are both made up of up and down quarks. Mesons include particles like the pion, kaon, and eta meson.

Leptons, on the other hand, are particles that do not interact with the strong nuclear force and include electrons, muons, and taus, as well as their corresponding neutrinos. Electrons are negatively charged particles that orbit the nucleus of atoms, while muons are similar in many ways to electrons, but are about 200 times more massive. Taus are even more massive than muons.

Overall, the categorization of fundamental particles into hadrons and leptons is based on their interactions with other particles, particularly with respect to the strong nuclear force. While hadrons are made up of quarks and are subject to the strong nuclear force, leptons do not interact with this force and include particles like electrons and muons.

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A:

In this experiment,

✔ temperature and surface area

were intentionally manipulated. These were the independent variables.

The dependent variable measured was

✔ time of the reaction

Which observation was a sign that a chemical reaction was occurring in this experiment?

✔ formation of gas bubbles

Use the drop-down menus to answer the questions.

As the temperature of the reaction increases, what happens to the average time for the tablet to dissolve?

✔ decreases

A shorter time of reaction indicates a

✔ faster

rate of reaction.

Based on the data shown in the graph, what would be the most reasonable estimate for the time required for the same reaction at 30°C?

✔35 seconds

Use the drop-down menus to answer the questions.

Which form of the sodium bicarbonate tablet has the most surface area?

✔ crushed

As the surface area increases, what happens to the average time required for the reaction?

✔ decreases

Use the drop-down menus to answer the questions.

As the amount of surface area increases, what happens to the rate of this reaction?

✔ The rate is faster.

If the antacid tablet were broken into eight pieces, what would be a reasonable estimate for the time of reaction?

✔ 28 seconds

Why is it important to keep the temperature and the amount of water the same when testing surface area?

The temperature and the amount of water need to be kept the same so that the only variable that changes is the surface area.

Which procedures were followed in this lab to decrease experimental error? Check all that apply.

A C F

In science class, Blaine’s teacher puts one glow stick in a cup of hot water and another glow stick in a cup of cold water. She asks the students to think about how the temperature of the water will affect the chemical reaction that occurs inside the glow stick once it is bent and starts to glow.

Which glow stick will be brighter once it is bent? Explain your answer:

Sample response: The glow stick that was in the cup of hot water will be brighter once it is bent. The production of more light is evidence that the chemical reaction in the glow stick is happening faster. The reaction happens faster, because increasing the temperature increases the rate of a chemical reaction.

If a friend is making lemonade from an instant mix, which set of conditions would lead to a faster rate of dissolving the mix in the pitcher of water?

Warm water and powdered lemonade

Explanation: got it right on edge

Answer:

31.404 seconds

Explanation:

To answer this equation, SUVAT is your best option utilizing and rearranging the known values to solve for the unknown.

here we have the values for

s=895

u=22

v=35

t= the unknown value

in this instant the equation s=0.5 x (u+v)t is the best equation to use

so we sub in the known values

895=0.5 x (22+35)t

rearrange to solve for t

895=28.5t

895/28.5=t

t=31.404 seconds (rounded to 3 decimal places)

Answer:

There are several ways to consider the composition of the human body, including the elements, type of molecule, or type of cells. Most of the human body is made up of water and H2O, with bone cells being comprised of 31% water and the lungs 83%.1  Therefore, it isn't surprising that most of the human body's mass is oxygen. Carbon, the basic unit for organic molecules, comes in second. 96.2% of the mass of the human body is made up of just four elements: oxygen, carbon, hydrogen, and nitrogen.

Explanation:

Elements are essential units that are the basic constituents of all living and non-living beings. They are the core of the universe. Every tiny or huge particle comprises elements. Our body is built up of five major elements: Carbon, Hydrogen, Oxygen, Nitrogen and calcium.

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60.0°. if rover exerts a force of 270 N and fido exerts a force of 300 N, the magnitude of the resultant force and the angle it makes with rover’s rope is 493.81 N and 31.62°.

To find the magnitude of the resultant force and the angle it makes with Rover's rope, we can use vector addition.

Let's represent Rover's force as vector R and Fido's force as vector F. The angle between the ropes is given as 60.0°.

First, we can resolve the forces R and F into their horizontal and vertical components.

For Rover's force R (270 N):

\(R_x\) = R * cos(0°) = 270 N * cos(0°) = 270 N

\(R_y\) = R * sin(0°) = 270 N * sin(0°) = 0 N

For Fido's force F (300 N):

\(F_x\) = F * cos(60.0°) = 300 N * cos(60.0°) = 150 N

\(F_y\) = F * sin(60.0°) = 300 N * sin(60.0°) = 259.81 N (approximately)

Next, we can find the resultant force by adding the horizontal and vertical components of the forces.

Resultant force in the x-direction:

\(R_x + F_x\) = 270 N + 150 N = 420 N

Resultant force in the y-direction:

\(R_y + F_y\) = 0 N + 259.81 N = 259.81 N

To find the magnitude of the resultant force and the angle it makes with Rover's rope (θ), we can use the following formulas:

\(R_r\) = √\(((R_x + F_x)^2 + (R_y + F_y)^2)\)

θ = tan⁻¹\(((Ry + Fy) / (Rx + Fx))\)

Calculating the values:

\(R_r\)= √((420 N)² + (259.81 N)²)

= √(176400 N² + 67500.4961 N²)

= √(243900.4961 N²)

= 493.81 N

θ = tan⁻¹((259.81 N) / (420 N))

= tan⁻¹(0.6186)

= 31.62°

Therefore, the magnitude of the resultant force is approximately 493.81 N, and the angle it makes with Rover's rope is approximately 31.62°.

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a)

i. The force exerted on the piston by the air in the freezer is 240 N.

ii. The work done on the piston by the air as it pushes the piston 0.021 m into the cylinder is 5.04 J.

b) The change in the internal energy of the cylinder is 3486 J.

a)  

i. To calculate the force exerted on the piston by the air in the freezer, we can use the formula:

Force = Pressure * Area

Given:

Pressure (P) = 1.0 × \(10^5\) Pa

Area (A) = 2.4 ×\(10^(^-^3^) m^2\)

Substituting these values into the formula, we have:

Force = (1.0 × 10^5 Pa) * (2.4 ×\(10^(^-^3^) m^2)\)

      = 240 N

ii. To calculate the work done on the piston by the air in the freezer as the air pushes the piston, we can use the formula:

Work = Force * Distance

Given:

Force = 240 N

Distance (d) = 0.021 m

Substituting these values into the formula, we have:

Work = (240 N) * (0.021 m)

     = 5.04 J

b) To calculate the change in the internal energy of the cylinder, we can use the formula:

ΔU = mcΔT

Given:

Initial temperature (T1) = 21°C = 21 + 273 = 294 K

Final temperature (T2) = -18°C = -18 + 273 = 255 K

Thermal capacity (c) = 89 J/°C

Substituting these values into the formula, we have:

ΔU = (89 J/°C) * (294 K - 255 K)

   = 3486 J

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