Janice turns on a speaker in her house that is powered by the nearby dam. Below is the list of steps describing how the energy is transformed several times to get to her speaker.
Match the step of the energy transformation with the type of energy that describes it.
1. Water sits at top of dam (not moving)
2. Water flows down towards the bottom of the dam.
3. Water moves the turbine and coil as it passes through the dam.
4. The water causes electrons inside the coil to move.
[ Choose ]
Choose 1
Sound energy
Heat energy
Potential energy
Kinetic energy
Electrical energy
Elastic potential energy
Light energy
Nuclear energy
[ Choose ]
5. Electrons move from the coil across the power lines to Janice's house.
[ Choose
6. Sound comes out of the speaker that is plugged into the wall
Choose

Janice Turns On A Speaker In Her House That Is Powered By The Nearby Dam. Below Is The List Of Steps

Answers

Answer 1

possible energy, Motional energy. Mech. energ. Sound energy, electrical energy Conversion of gravitational potential energy into electrical energy. Hydroelectric Power Plant: ​Hydroelectric power is produced by the gravity of falling water.

When you switch on a speaker, what kind of energy happens?

The right response is acoustic energy from electric energy. Electrical energy is transformed into sound energy by the loudspeaker. It creates a sound wave that follows the original voice or music signal's pattern. A loudspeaker's diaphragm vibrates as a result of electrical energy, which in turn causes the nearby air to vibrate.

What happens to energy when it is transformed in a hydroelectric power plant?

A turbine is turned by the water's kinetic energy as it passes through the dam. The generator turns the mechanical energy from the turbine into electricity.

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Related Questions

The average speed of an object is the _______ that an object moves divided by the _______ of the movement.

Question 1 options:

Total distance; direction


Total time; total force


Total area; total force


Total distance; total time

Answers

Answer:

Bottom choice

Explanation:

Average speed is      total distance / total time

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A farmer wants to know if a new fertilizer will produce better tomatoes than his old fertilizer. Which statement describes the best hypothesis to use to address his question ?
A. If the new fertilizer is used, bigger tomatoes will be produced than if the old fertilizer is used.

B. If the new fertilizer is used, the tomato plants will need less water than if the old fertilizer is used.

C. Using the new fertilizer is better for the environment than using the old fertilizer

D. Using the new fertilizer is less expensive than using the old fertilizer.

Answers

The answer is A.
The reasoning is because the farmer wants to know if new fertilizer helps grow his tomatoes better. Option A is the only hypothesis relating with growth and tomatoes

Spring constant, Say if we have KEi + PEi + WNC= KEf + PEf , where does the spring potential energy go, before or after?

Answers

The spring potential energy is included in the initial potential energy term in the equation KEi + PEi + WNC= KEf + PEf.

What is the formula for calculating the potential energy of a spring?

The formula for calculating the potential energy of a spring is PE = (1/2)kx^2, where k is the spring constant and x is the displacement of the spring from its equilibrium position.

How does the spring constant affect the potential energy of a spring?

The spring constant (k) determines the stiffness of the spring and how much force is required to stretch or compress it. The greater the spring constant, the more potential energy is stored in the spring for a given displacement from its equilibrium position. This means that a spring with a higher spring constant will have a greater potential energy than a spring with a lower spring constant when stretched or compressed by the same amount.

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What type of device forms images by bending light?

A. Any lens

B.Any Convex device

C.Any concave device

D. Any mirror

Answers

The type of device that form images by bending light is lens (option A)

What is a lens?

A lens is a piece of transparent material, such as glass or plastic, that is designed to refract (or bend) light in a specific way. It is a curved piece of glass or other transparent material that can converge or diverge light rays depending on its shape.

Lenses are commonly used in eyeglasses, cameras, telescopes, microscopes, and other optical instruments to form images by refracting light. They can be convex (thicker at the center than at the edges) or concave (thinner at the center than at the edges), and their shape determines how they refract light.

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Catastrophes, significant life changes and sleep were the three examples provided in
the video that lead to stress?
True
False

Answers

The statement is False that Catastrophes, significant life changes and sleep were the three examples provided in the video that lead to stress.

What does catastrophe stress look like?

disastrous stress .Serious sickness in the child or a family member, natural disasters, and child maltreatment are a few instances of this level of stress. The child's risk is at its maximum at this level.

What three stages of the body's reaction to stress are there?

The alarm reaction stage, the resistance stage, and the weariness stage are the several phases of this illness. The "fight or flight" response and the body's earliest signs of acute stress are referred to as the alarm reaction stage.

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A block with mass 0.500 kg

sits at rest on a light but not long vertical spring that has spring constant 70.0 N/m

and one end on the floor.


How much elastic potential energy is stored in the spring when the block is sitting at rest on it? (for this I got 0.172 J and it was correct)


A second identical block is dropped onto the first from a height of 4.40 m

above the first block and sticks to it. What is the maximum elastic potential energy stored in the spring during the motion of the blocks after the collision? (for this I got 21.7 J but it was wrong)


What is the maximum distance the first block moves down after the second block has landed on it? (for this I got 0.788 m but it was wrong)

Answers

The elastic potential energy stored in the spring when the block is sitting at rest on it is 0.172 J, the maximum elastic potential energy stored in the spring during the motion of the blocks after the collision is 1.84 J, and the maximum distance the first block moves down after the second block has landed on it is 0.185 m.

How is elastic potential energy stored in a spring?

Elastic potential energy is stored in a spring when it is compressed or stretched from its rest position.

How is the maximum elastic potential energy stored in the spring during the motion of the blocks after the collision calculated?

The maximum elastic potential energy stored in the spring during the motion of the blocks after the collision is calculated as the difference between the total initial mechanical energy and the total final mechanical energy, where the total initial mechanical energy is the sum of the potential energy of the two-block system at the highest point of the motion and the kinetic energy of the two-block system just before impact, and the total final mechanical energy is the sum of the potential energy of the two-block system at the maximum compression of the spring and the elastic potential energy stored in the spring at that point.

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What is the energy required to increase the surface area of a liquid?
Select the correct answer below:
adhesive tension
surface tension
cohesive tension
none of the above
Correct answer:
surface tension
Surface tension is the energy required to increase the surface area of a liquid.

Answers

Surface tension is the energy required to increase the surface area of a liquid.  Option (b)

Surface tension is the propensity of liquid surfaces at rest to shrink to the smallest feasible surface area. Surface tension permits items with a higher density than water, such as razor blades and insects (such as water striders), to float on the water's surface without being immersed.

Surface tension at liquid-air contacts is caused by the higher attraction of liquid molecules to each other (owing to cohesion) than to air molecules (due to adhesion).There are two main systems at work. The first is an inward strain on the surface molecules, which causes the liquid to constrict.

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A horizontal force of 25 N is required to push a wagon across a sidewalk at a constant speed.


What is the net (unbalanced) force acting on the wagon?
What is the value of the force of friction acting on the wagon?
If the force on the wagon increased to 30 N, use Newton's second law to explain what the effect would be.

Answers

If the force on the wagon increased to 30 N, the wagon would accelerate at a rate of 0.5 m/s^2 in the direction of the applied force.

What is Speed?

Speed is a scalar quantity that describes how fast an object is moving, without regard to its direction. It is defined as the distance traveled by an object divided by the time taken to travel that distance. Speed is typically measured in units of meters per second (m/s) or kilometers per hour (km/h).

The net (unbalanced) force acting on the wagon is 25 N, which is equal in magnitude but opposite in direction to the force applied to it.

The value of the force of friction acting on the wagon is also 25 N, since it is equal in magnitude but opposite in direction to the applied force. This is because the wagon is moving at a constant speed, so the net force acting on it must be zero. The force of friction acts in the opposite direction to the applied force, and is necessary to counteract the force and maintain a constabnt speed.

If the force on the wagon increased to 30 N, the net force acting on the wagon would be 5 N (30 N - 25 N). This would cause the wagon to accelerate in the direction of the applied force, since the net force is no longer zero. The acceleration of the wagon can be calculated using Newton's second law:

F = ma

where F is the net force, m is the mass of the wagon, and a is its acceleration. Rearranging the equation to solve for a, we get:

a = F/m

Assuming a mass of 10 kg for the wagon, we can calculate its acceleration as follows:

a = 5 N / 10 kg = 0.5 m/s^2

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how is potential energy a scalar quantity even though it can be negative?

Answers

Explanation:

Potential energy is a scalar quantity because it has only magnitude and no direction. Its ability to be negative does not affect its scalar nature.

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Light is refracted as it travels from a point A in medium 1 to a point B in medium 2. If the index of
refraction is 1.33 in medium 1 and 1.51 in medium 2. How long does it take light to go from A to B,
assuming it travels 331cm in medium 1 and 151 in the medium 2?

Answers

The time taken by light to go from A to B is approximately 0.000020087 seconds.

The speed of light in a medium is given by:

v = c/n

where c is the speed of light in vacuum and n is the refractive index of the medium.

In medium 1, the speed of light is:

v1 = c/n1 = c/1.33

In medium 2, the speed of light is:

v2 = c/n2 = c/1.51

The distance that light travels in medium 1 is 331 cm, whereas in medium 2, the distance is 151 cm. The time it takes for light to get from point A to point B is the product of the times it takes in mediums 1 and 2.

t = d1/v1 + d2/v2

Substituting the given values, we get:

t = (331 cm)/(c/1.33) + (151 cm)/(c/1.51)

Since the units of speed and distance are not consistent, we need to convert the units to a common unit. We can use meters as the common unit:

t = (3.31 m)/(c/1.33) + (1.51 m)/(c/1.51)

Now, we can use the value of the speed of light in vacuum:

c = 299792458 m/s

Substituting this value, we get:

t = (3.31 m)/((299792458 m/s)/1.33) + (1.51 m)/((299792458 m/s)/1.51)

t = 0.000015065 s + 0.000005022 s

t = 0.000020087 s.

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A 175,000 kg space probe is landing on an alien planet with a gravitational acceleration of 8.25. If its fuel is ejected from the rocket motor at 35,000 m/s what must the mass rate of change of the space ship (delta m)/(delta t) be to achieve at upward acceleration of 2.00 m/s^2? Remember to use the generalized form of Newton's Second Law.

answer with correct units​

Answers

The mass rate of change of the space probe is approximately 28.49 kg/s .

What is the mass rate of the space probe?

To solve this problem, we can use the generalized form of Newton's Second Law, which states that the force acting on an object is equal to its mass times its acceleration:

F = ma

In this case, the force acting on the space probe is the thrust force generated by the rocket motor, which is equal to the rate of change of momentum of the ejected fuel:

F = (Δ m /Δt) * v

where;

Δ m /Δt t is the mass rate of change of the space ship, and v is the velocity of the ejected fuel, which is given as 35,000 m/s.

Since the space probe is landing on the planet, the net force acting on it should be equal to the force of gravity pulling it down minus the upward thrust force generated by the rocket motor. So we can write:

F_net = m * g - (Δ m /Δt) * v

Plugging in the values and solving for delta m / delta t, we get:

2.00 m/s² = (175,000 kg * 8.25 m/s²) - (Δ m / Δt) * 35,000 m/s

Δ m / Δt = (175,000 kg * 8.25 m/s² - 2.00 m/s² * 35,000 m/s) / 35,000 m/s

Δm / Δt ≈ 28.49 kg/s

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2. Which of the following would you keep in an office quick-list file?
O A. Your personal checking account number
O B. Equipment catalogs
OC. An instruction manual
O D. Commonly asked customer questions

Answers

Answer:

D. Commonly asked customer questions

Explanation:

Personal checking account numbers should not be stored in an office quick-list file as this information is sensitive and confidential. Equipment catalogs and instruction manuals can be useful, but they are not typically needed in a quick-list format.

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At which point are two objects said to be at thermal equilibrium with each other?
Group of answer choices

When both their temperature and thermal energy are equal

When their thermal energy is equal

When their heat capacities are equal

When their temperatures are equal

Answers

When their temperatures are equal

Explanation:

When two objects are in thermal equilibrium they are said to have the same temperature. During the process of reaching thermal equilibrium, heat, which is a form of energy, is transferred between the objects.

A 1700 kg car drives around a flat 170-m -diameter circular track at 27 m/s.

What is the magnitude of the net force on the car?

Answers

Answer:

the magnitude of the net force on the car is 144,270 N.

Explanation:

To solve this problem, we need to use the formula for centripetal force:

F = (m * v^2) / r

where F is the net force, m is the mass of the car, v is the speed of the car, and r is the radius of the circular track (which is half the diameter).

First, we need to find the radius of the track:

r = d/2 = 170 m / 2 = 85 m

Now we can plug in the values we know:

F = (1700 kg * (27 m/s)^2) / 85 m

F = 144,270 N

Therefore, the magnitude of the net force on the car is 144,270 N.

Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure.

1. The strand sags at an angle of 11.0° below the horizontal. (Enter a number.)

2. Compare this with the tension in the vertical strand (find their ratio). (Enter a number.)

(tension in horizontal strand)⁄(tension in vertical strand) = ?

Answers

The tension in the horizontal strand of cobwebs is given as =1.089 x 10^-3T

What is Tension in a spring?

Tension in a spring refers to the force exerted on the spring when it is stretched or pulled. When a force is applied to a spring, it will deform and stretch, and this deformation creates a restoring force that tries to return the spring to its original shape. The magnitude of the restoring force is proportional to the amount of deformation or stretching that has occurred, according to Hooke's law.

If we consider the two sides of the strand, the horizontal components must be equal and opposite and the vertical components must sum to the weight.

Thus, we have a net force in all directions

2Tsin\theta = mg

T = mg/2sin\theta

= [tex]\frac{5 * 10^-^5 * 9.8}{2 * sin 13}[/tex]

=1.089 x 10^-3T

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10. Liquids are poured into a container and separate. They form a green layer on
the bottom, a blue layer in the middle, and a red layer on the top. What's true about
the density of the liquids?
A. The red liquid is the least dense.
B. The green liquid is the least dense.
C. The blue liquid is the least dense.
D. They all have the same density.

Answers

Option A is true: the red liquid is the least dense.

What happens when different liquids are poured into a container?

When different liquids are poured into a container, they will typically separate based on their densities. Liquids with higher densities will sink to the bottom, while liquids with lower densities will float on top.

In the scenario described in the question, we are told that the liquids have separated into three distinct layers: green on the bottom, blue in the middle, and red on top. Based on this layering, we can infer that the red liquid must be the least dense, since it is floating on top of the other two liquids.

Similarly, we can infer that the blue liquid is denser than the red liquid, but less dense than the green liquid, since it is sandwiched between them. And we can infer that the green liquid is the most dense, since it is at the bottom.

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a hot iron is turned off and cools down to room temperature. the oron cools because

Answers

Answer:

heat energy is transferred from the arm iron to the cooler room. BRAINLIEST ANSWER

pls help
Aliyah marks a line on her driveway with a piece of chalk. Then she stands with both feet at the line and jumps forward as far as she can. She marks where she lands with chalk and measures the distance between the two points. What is she measuring?

A.
displacement

B.
reference point

C.
position

D.
speed

Answers

Answer:

A. displacement.

Explanation:

Aliyah is measuring the distance she can jump forward

[tex] \: [/tex]

The equal and opposite forces described by Newton's third law of motion will balance each other out in many cases.
True
False

Answers

The statement "The equal and opposite forces described by Newton's third law of motion will balance each other out in many cases" is true.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. This means that whenever an object exerts a force on another object, the second object will exert an equal and opposite force back on the first object. These two forces are often referred to as an "action-reaction pair". When two objects are in contact and interact with each other, they will experience an equal and opposite force pair. These forces will balance each other out and cancel each other's effect on the motion of the objects, which is why they are often called balanced forces. For example, when you push against a wall, the wall pushes back on you with an equal and opposite force. These forces balance each other out, and you and the wall will remain in place. Similarly, when a car accelerates forward, the force of the engine pushing the car forward is balanced by the force of friction pushing the car backwards. These forces cancel each other out, and the car moves forward at a constant speed.

However, in some cases, the forces described by Newton's third law may not balance each other out, such as when the forces act on different objects or when they are not in direct contact.

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A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 20.0 rpm in a time of 41.0 s.

What is the average angular acceleration avg of the merry‑go‑round in units of radians per second squared (rad/s2)?

What is the angular displacement Δ of the merry‑go‑round, in units of radians (rad),
during the time the child pushes the merry‑go‑round?

Answers

The child pushes the merry-go-round, which causes it to rotate by an angle of around 85.5 radians.

What is the merry-go-moment round's of inertia?

The sum of the moments of inertia of the toddler and the merry-go-round (both about the same axis) represents the total moment of inertia: I=(28.13kg⋅m2)+(56.25kg⋅m2)=84.38kg⋅m2. When known values are substituted into the equation.

ω1 = 0 rad/s (initially at rest)

ω2 = (20.0 rpm) * (2π rad/rev) / (60 s/min) ≈ 4.19 rad/s

The average angular acceleration is given by the equation:

αavg = (ω2 - ω1) / t

where t is the time interval. Substituting the given values, we get:

αavg = (4.19 rad/s - 0 rad/s) / 41.0 s

αavg ≈ 0.102 rad/s²

Therefore, the average angular acceleration of the merry-go-round is approximately 0.102 rad/s².

To find the angular displacement of the merry-go-round, we can use the equation:

Δθ = ω1*t + (1/2)αt²

where ω1 is the initial angular speed, α is the average angular acceleration, and t is the time interval.

Substituting the given values, we get:

Δθ = 0 rad/s * 41.0 s + (1/2) * (0.102 rad/s²) * (41.0 s)²

Δθ ≈ 85.5 rad

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A 60.0 kg wrecking ball hangs from a uniform, heavy-duty chain of mass of 26.0 kg. Find the maximum tension in the chain.

Answers

Answer: The maximum tension in the chain will occur when the wrecking ball is at its lowest point, and the chain is vertical.

The weight of the wrecking ball is:

w = m_ball * g

w = 60.0 kg * 9.81 m/s^2

w = 588.6 N

The weight of the chain is:

w_chain = m_chain * g

w_chain = 26.0 kg * 9.81 m/s^2

w_chain = 254.8 N

At the lowest point, the tension in the chain must be equal to the sum of the weight of the ball and the weight of the chain:

T = w + w_chain

T = 588.6 N + 254.8 N

T = 843.4 N

Therefore, the maximum tension in the chain is 843.4 N.

Explanation:

What is the electric field strength at a distance of 10 cm from a charge of 2 uC

Answers

The electric field strength at a distance of 10 cm from a charge of 2 μC is 3.6 x 10⁵ N/C.

What is called electric field?

If there's a charge present in any form, an electric field is linked with every point in space. The strength and direction of the electric field are expressed by the value of E, sometimes referred to as the strength of the electrical field, electric field intensity, or simply the electric field.

The following formula determines the magnitude of the electric field generated by a point charge:

where,

E = Electrical Field Strength = ?

k = 9 x 10⁹ Nm²/C²

q = magnitude of charge

q = 2 μC = 2x 10⁻⁶ C

r = distance = 10 cm

r = 0.10 m

Therefore,

When the values are entered into the equation, we obtain:

E = 9 x 10⁹ * (2 x 10⁻⁶) / (0.1)²

E = 3.6 x 10⁵ N/C

Because of this, the electric field intensity at 10 cm from a 2 μC charge is  3.6 x 10⁵ N/C.
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Four objects labeled W, X, Y, and Z have different forces applied to them. All of the horizontal forces acting on each object are shown in the diagrams. Identify the example(s) that demonstrate(s) a change in motion.

Answers

The horizontal forces acting on each object are shown in the diagrams would only cause a change in motion in diagram A

When does force cause a change in motion?

A force causes a change in motion when it is unbalanced, meaning there is a net force acting on an object. According to Newton's first law of motion, an object at rest will remain at rest, and an object in motion will continue to move in a straight line at a constant speed, unless acted upon by an unbalanced force.

When an unbalanced force acts on an object, it will accelerate, meaning its velocity will change.

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indicate which of the three major interaction processes (photoelectric absorption, compton scattering, pair production) is dominant in the following situations: (a) 1 mev gamma rays in aluminum (b) 100 kev gamma rays in hydrogren (c) 100 kev gamma rays in iron (d) 10 mev gamma rays in carbon (e) 10 mev gamma ryas in lead

Answers

(a) 1MeV gamma rays in aluminum  ⟹ Compton effect  

(b) 100 keV gamma rays in hydrogen ⟹ Compton effect  

(c) 100 keV gamma rays in iron ⟹ Photoelectric effect  

(d) 10 MeV gamma rays in carbon ⟹ Compton effect  

(e) 10 mev gamma ryas in lead ⟹ Photoelectric effect  

The photoelectric effect has important applications in many areas, including solar cells and photocells, which convert light into electrical energy. It was first observed by Heinrich Hertz in 1887 and later explained by Albert Einstein in 1905. The energy of a photon (a packet of light) can be absorbed by an electron in the material, causing it to be emitted as a free electron.

The energy of the photon must be greater than the material's work function, which is the minimum energy required to remove an electron from the material. It also plays a crucial role in the development of quantum mechanics, as it was one of the key experiments that led to the understanding of the wave-particle duality of light.

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Which of the following materials offer the least opposition to the flow of magnetic lines of force? A.steel b.copper c. Brass d.air

Answers

Air offers the least opposition to the flow of magnetic lines of force compared to the other materials listed.

This is because air is a non-magnetic material, which means it does not contain any magnetic properties. Magnetic lines of force can pass through air with minimal interference, as there are no magnetic fields generated to oppose the magnetic lines.

In contrast, materials such as steel, copper, and brass have magnetic properties, which means that they can create their own magnetic fields that can oppose the flow of magnetic lines of force. Therefore, air is the least resistive material for the flow of magnetic lines of force.

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A 100 kg crate is attached to a rope wrapped around the inner disk (R1) as shown. A person pulls on another rope wrapped around the outer disk (R2) with force F to lift the crate. What force F is needed to lift the crate? If the ratio of the radius is R1/R2 = 1/5

Answers

A 100 kg crate is attached to a rope wrapped around the inner disk (R1) as shown. A person pulls on another rope wrapped around the outer disk (R2) with force F to lift the crate. a force of 196.2 N is needed to lift the 100 kg crate.

To determine the force F needed to lift the 100 kg crate, we'll first find the mechanical advantage of the system using the given ratio of the radii R1/R2, and then use that to calculate the force F.

Find the mechanical advantage (MA) using the ratio of the radii.
Given that R1/R2 = 1/5, the mechanical advantage can be calculated as the inverse of this ratio, which is R2/R1 = 5/1 = 5.

Calculate the force required to lift the crate (F).

Since MA = 5, it means that the force required to lift the crate (F) is 5 times less than the weight of the crate (W). The weight of the crate can be calculated using the equation W = m * g, where m is the mass of the crate (100 kg) and g is the acceleration due to gravity (approximately 9.81 m/s^2).

W = 100 kg * 9.81 m/s^2 = 981 N (Newtons)

Now, we can calculate the force F needed to lift the crate:

F = W / MA = 981 N / 5 = 196.2 N

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1. Given that the atmospheric pressure and density at sea level is 100 kPa and 1.3 kg/m respectively. Calculate the height of the atmosphere if all air in the atmosphere has this density (g = 10 N/kg) ​

Answers

Answer:

P = ρ g H     pkgressure due to liquid (gas) of height H

H = 1.00E5 N/m^2 / (1.3 kg / m^3 * 10 N/kg) = 7,700 m

A 119-kg trunk is dropped off the edge of a building. What is the upward gravitational pull (in N) of the trunk on the earth?

Answers

The upward gravitational pull of the trunk on the earth is 1.156 x 10^3 N (or approximately 1156 N).

What is Gravitation?

Gravitation is a fundamental force of nature that describes the attraction between two masses. It is the force that causes objects to fall to the ground, keeps planets in orbit around the sun, and governs the motion of galaxies.

The upward gravitational pull of the trunk on the earth is equal in magnitude to the gravitational force that the earth exerts on the trunk. We can calculate this force using Newton's law of gravitation, which states that the force of gravity between two objects is proportional to their masses and inversely proportional to the square of the distance between them. The formula for the gravitational force between two objects is:

F = G * (m1 * m2) / r^2

where F is the force of gravity, G is the gravitational constant (6.674 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between them.

In this case, we are given the mass of the trunk (m1 = 119 kg) and we want to find the gravitational force between the trunk and the earth (m2 = mass of the earth). We can assume that the trunk is dropped from a height close to the surface of the earth, so the distance between the center of the trunk and the center of the earth is approximately equal to the radius of the earth (6.371 x 10^6 m). Substituting these values into the formula, we get:

F = (6.674 x 10^-11 N*m^2/kg^2) * (119 kg * 5.972 x 10^24 kg) / (6.371 x 10^6 m)^2

F = 1.156 x 10^3 N

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The teen soon loses his balance and falls backwards off the board at a velocity of 1.0 m/s. Assuming momentum is conserved in this process, what is the skateboard's new velocity in meters per second? [Note: this may not be a very good assumption, as there can be significant friction in the ball bearings of the skateboard]

Answers

Assuming momentum is conserved, the skateboard's new velocity is -27 m/s, which means it is now moving backwards. However, as noted in the prompt, this assumption may not be very accurate in real life due to the effects of friction and other factors.

Assuming momentum is conserved in this process, the initial momentum of the system (teen and skateboard) must equal the final momentum. Since the teen is falling backwards, the direction of his velocity is opposite to the direction of the skateboard's velocity.

Let's assume the mass of the teen is 60 kg and the mass of the skateboard is 2 kg.

The initial momentum of the system is:

p_initial = m_teen * v_teen + m_skateboard * v_skateboard

Since the teen is standing still initially, v_teen = 0. The skateboard is initially moving forward with a velocity of v_skateboard = 3.0 m/s, so:

p_initial = (60 kg)(0 m/s) + (2 kg)(3.0 m/s)

p_initial = 6.0 kg*m/s

After the teen falls off the skateboard, the final momentum of the system is:

p_final = m_teen * v_teen' + m_skateboard * v_skateboard'

where v_teen' is the final velocity of the teen (which we know is 1.0 m/s) and v_skateboard' is the new velocity of the skateboard that we need to find.

Since momentum is conserved:

p_initial = p_final

Substituting the known values:

6.0 kg*m/s = (60 kg)(1.0 m/s) + (2 kg)(v_skateboard')

Solving for v_skateboard':

v_skateboard' = (6.0 kgm/s - 60 kgm/s) / 2 kg

v_skateboard' = -27 m/s.

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Two horizontal forces, F and F₂, act on a box, but only Ę appears in the drawing. Ę₂ can refer to either the right or the left. The square moves along the x axis only. There is no friction between the box and the surface. Suppose F₁ = +4.0 N and the mass of the box is 4.1 kg. Find the magnitude and direction of F₂ when the acceleration of the box is (a) +7.0 m/s², (b) -7.0 m/s², and (c) 0 m/s².

Answers

Answer:

Since there is no friction, the net force acting on the box is equal to the sum of the two horizontal forces. From Newton's second law, we know that the net force is equal to the mass of the box times its acceleration. Therefore:

ΣF = m * a

where ΣF is the net force, m is the mass of the box, and a is the acceleration of the box.

We can use this equation to find the magnitude of F₂ in each case.

(a) When the acceleration of the box is +7.0 m/s²:

ΣF = F₁ + F₂

m * a = F₁ + F₂

(4.1 kg) * (7.0 m/s²) = 4.0 N + F₂

F₂ = (4.1 kg) * (7.0 m/s²) - 4.0 N

F₂ = 25.7 N to the right

So, the magnitude of F₂ is 25.7 N, and it acts to the right.

(b) When the acceleration of the box is -7.0 m/s²:

ΣF = F₁ + F₂

m * a = F₁ + F₂

(4.1 kg) * (-7.0 m/s²) = 4.0 N + F₂

F₂ = (4.1 kg) * (-7.0 m/s²) - 4.0 N

F₂ = -32.6 N to the left

So, the magnitude of F₂ is 32.6 N, and it acts to the left.

(c) When the acceleration of the box is 0 m/s²:

ΣF = F₁ + F₂

m * a = F₁ + F₂

(4.1 kg) * (0 m/s²) = 4.0 N + F₂

F₂ = -4.0 N

So, the magnitude of F₂ is 4.0 N, and it acts to the left.

Explanation:

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