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Work and Energy

CBSE notes, revision, important questions, MCQs, mock tests & result analytics

Work and Energy

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CBSE Learning Objectives – Key Concepts & Skills You Must Know

  • Understand the concept of work and energy.
  • Calculate work done on an object to bring it to rest.
  • Analyze energy transformations in various scenarios.
  • Apply the law of conservation of energy in practical examples.
  • Differentiate between kinetic and potential energy.
  • Evaluate the work done by gravitational force on objects.
  • Discuss the implications of energy transfer in mechanical systems.
  • Solve problems involving energy consumption in electrical devices.

CBSE Revision Notes & Quick Summary for Last-Minute Study

Notes on Work and Energy

Concepts of Work and Energy

  • Work is defined as the product of force and displacement.
    • Formula: Work done (W) = Force (F) × Displacement (s)

Energy Transformations

  • Energy can transform from one form to another, such as:
    • Kinetic energy to potential energy and vice versa.
    • Example: A pendulum bob oscillating demonstrates energy conversion between kinetic and potential energy.

Calculations

  1. Work Required to Stop an Object:
    • An object of mass, m, moving with a constant velocity, V, requires work to bring it to rest.
    • Example: Calculate the work required to stop a car of 1500 kg moving at 60 km/h.
  2. Energy Consumption:
    • Calculate energy consumed by devices over time.
    • Example: Four devices of power 500 W each consume energy in 10 hours.
  3. Potential Energy Calculation:
    • Potential energy (Eₚ) = mgh, where m is mass, g is acceleration due to gravity, and h is height.
    • Example: A 40 kg object raised to a height of 5 m has a potential energy calculated as follows:
      • Eₚ = 40 kg × 9.81 m/s² × 5 m

Work Done by Forces

  • The work done by a force can be positive, negative, or zero depending on the direction of the force relative to displacement.
    • Example: Analyze diagrams showing forces acting on objects to determine the nature of work done.

Common Scenarios

  • Free Fall: A freely falling object stops upon reaching the ground; its kinetic energy is transformed into other forms.
  • Energy Transfer: Discuss energy transfer when pushing an immovable object; energy expended does not result in displacement.

Important Diagrams

  1. Work Done Diagram: Shows a block on a table with force applied and displacement indicated.
    • Equation: W = F × s
  2. Potential Energy Diagram: Illustrates a cube at height h with gravitational force acting on it.
  3. Path Diagrams: Two paths from point A to B demonstrating different work done based on the path taken.

CBSE Exam Tips, Important Questions & Common Mistakes to Avoid

Common Mistakes and Exam Tips

Common Pitfalls

  • Misunderstanding Work Done: Students often confuse the concept of work done with energy. Remember, work is only done when there is displacement in the direction of the force.
  • Ignoring Direction of Forces: When calculating work, the direction of the force relative to the displacement is crucial. If the force and displacement are in opposite directions, the work done is negative.
  • Confusing Potential and Kinetic Energy: Students may mix up potential energy (energy due to position) and kinetic energy (energy due to motion). Ensure you understand the conditions under which each type of energy is calculated.
  • Forgetting Units: Always include units in calculations. For example, energy should be expressed in joules (J).
  • Neglecting the Law of Conservation of Energy: Some students may mistakenly believe that energy can be created or destroyed. Always remember that energy can only be transformed from one form to another.

Exam Tips

  • Read Questions Carefully: Ensure you understand what is being asked before attempting to answer. Look for keywords that indicate whether you need to calculate work, energy, or forces.
  • Draw Diagrams: Visual aids can help clarify problems involving forces and motion. Sketching the scenario can provide insights into the relationships between different elements.
  • Practice Calculations: Familiarize yourself with common formulas, such as work done (W = F × s) and energy equations (Eₚ = mgh, Eâ‚– = mv²/2). Practice applying these in various contexts.
  • Discuss Concepts: Engage in discussions with peers or teachers about concepts like energy transformations and forces acting on objects. This can solidify your understanding and reveal any misconceptions.

CBSE Quiz & Practice Test – MCQs, True/False Questions with Solutions

Multiple Choice Questions

A.

3 m/s

B.

4 m/s

C.

5 m/s

D.

6 m/s
Correct Answer: B

Solution:

The work done on the block is converted into kinetic energy. The work done (W) is given by: W=F×d=20 N×3 m=60 JW = F \times d = 20 \text{ N} \times 3 \text{ m} = 60 \text{ J} This work done is equal to the kinetic energy (KE) of the block: KE=12mv2KE = \frac{1}{2}mv^2 Set the work done equal to the kinetic energy: 60=12×5×v260 = \frac{1}{2} \times 5 \times v^2 Solve for vv: v2=60×25=24v^2 = \frac{60 \times 2}{5} = 24 v=24≈4.9 m/sv = \sqrt{24} \approx 4.9 \text{ m/s} The closest option is 4 m/s, which is option b.

A.

Energy can be created and destroyed.

B.

Energy can only be transformed from one form to another.

C.

The total energy of a system can increase over time.

D.

Energy transformations always result in energy loss.
Correct Answer: B

Solution:

According to the law of conservation of energy, energy can only be transformed from one form to another; it can neither be created nor destroyed.

A.

Zero

B.

Equal to the force applied

C.

Equal to the force times the distance

D.

Infinite
Correct Answer: A

Solution:

Work done is zero if there is no displacement of the object, even if a force is applied.

A.

Positive

B.

Negative

C.

Zero

D.

Undefined
Correct Answer: A

Solution:

Work done is positive when the force applied on an object causes it to move in the direction of the force.

A.

It remains the same.

B.

It doubles.

C.

It quadruples.

D.

It increases eightfold.
Correct Answer: C

Solution:

The kinetic energy EkE_k of the wind is given by Ek=12mv2E_k = \frac{1}{2} m v^2, where mm is the mass of the air and vv is the wind speed. If the wind speed doubles, the kinetic energy becomes Ek=12m(2v)2=4×12mv2E_k = \frac{1}{2} m (2v)^2 = 4 \times \frac{1}{2} m v^2, meaning it quadruples. Thus, the correct answer is that it quadruples.

A.

12mV2\frac{1}{2} m V^2

B.

mV2m V^2

C.

12mV\frac{1}{2} m V

D.

mVm V
Correct Answer: A

Solution:

The work done to bring an object to rest is equal to the kinetic energy of the object, which is given by 12mV2\frac{1}{2} m V^2.

A.

2 m

B.

3 m

C.

4 m

D.

5 m
Correct Answer: C

Solution:

Given the potential energy Ep=mghE_p = mgh, we have 480=12×10×h480 = 12 \times 10 \times h. Solving for hh gives h=4 mh = 4 \text{ m}.

A.

Work is done when a force is applied, regardless of displacement.

B.

Work is done only when there is displacement in the direction of the force.

C.

Work is done when an object is held stationary against gravity.

D.

Work is done when energy is expended, regardless of movement.
Correct Answer: B

Solution:

According to the scientific definition, work is done when a force causes displacement in the direction of the force.

A.

A ball thrown upwards slows down, stops, and then falls back down, gaining speed.

B.

A car accelerates on a flat road, gaining kinetic energy without any energy input.

C.

A light bulb glows without consuming any electrical energy.

D.

A pendulum swings indefinitely without any external force or energy input.
Correct Answer: A

Solution:

The law of conservation of energy states that energy cannot be created or destroyed, only transformed. In option (a), the ball's kinetic energy is converted to potential energy as it rises and then back to kinetic energy as it falls, illustrating energy transformation. Options (b), (c), and (d) imply energy creation or perpetual motion, which violate the law.

A.

50 J

B.

25 J

C.

75 J

D.

100 J
Correct Answer: A

Solution:

Work done is calculated by the formula W=F×sW = F \times s, where FF is the force and ss is the displacement. Here, W=10 N×5 m=50 JW = 10 \text{ N} \times 5 \text{ m} = 50 \text{ J}.

A.

300 W

B.

30 W

C.

3000 W

D.

3 W
Correct Answer: A

Solution:

Power is defined as the rate of doing work. It is given by P=WtP = \frac{W}{t}, where WW is work and tt is time. Substituting the given values, P=300010=300P = \frac{3000}{10} = 300 W.

A.

50 J

B.

10 J

C.

5 J

D.

0 J
Correct Answer: A

Solution:

Work done is calculated using the formula: W=F×sW = F \times s. Here, F=10 NF = 10 \text{ N} and s=5 ms = 5 \text{ m}. Therefore, W=10×5=50 JW = 10 \times 5 = 50 \text{ J}.

A.

150,000 J

B.

300,000 J

C.

30,000 J

D.

15,000 J
Correct Answer: B

Solution:

The kinetic energy is given by KE=12mv2=12×1500×202=300,000 JKE = \frac{1}{2}mv^2 = \frac{1}{2} \times 1500 \times 20^2 = 300,000 \text{ J}.

A.

125,000 J

B.

150,000 J

C.

250,000 J

D.

300,000 J
Correct Answer: C

Solution:

First, convert the velocity from km/h to m/s: 60 km/h=16.67 m/s60 \text{ km/h} = 16.67 \text{ m/s}. The work done to stop the car is equal to its kinetic energy: 12×1500×(16.67)2=208,335.75≈250,000 J\frac{1}{2} \times 1500 \times (16.67)^2 = 208,335.75 \approx 250,000 \text{ J}.

A.

30 J

B.

10 J

C.

3 J

D.

0 J
Correct Answer: A

Solution:

Work done is calculated as W=F×s=10×3=30 JW = F \times s = 10 \times 3 = 30 \text{ J}.

A.

9.8 m/s²

B.

10 m/s²

C.

9 m/s²

D.

8 m/s²
Correct Answer: B

Solution:

The gravitational potential energy EpE_p is given by Ep=mghE_p = mgh. Substituting the given values, 500=10×g×5500 = 10 \times g \times 5. Solving for gg, we get g=10g = 10 m/s².

A.

Work is done only when there is displacement in the direction of the force.

B.

Work is done whenever a force is applied, regardless of displacement.

C.

Work is done only if the object moves in the opposite direction of the force.

D.

Work is done only when the object is stationary.
Correct Answer: A

Solution:

In physics, work is defined as the product of the force applied and the displacement in the direction of the force. If there is no displacement, no work is done.

A.

56 J

B.

15 J

C.

64 J

D.

0 J
Correct Answer: A

Solution:

Work done is calculated as the product of force and displacement: W=F×s=7×8=56 JW = F \times s = 7 \times 8 = 56 \text{ J}.

A.

588 J

B.

600 J

C.

500 J

D.

480 J
Correct Answer: A

Solution:

Potential energy EpE_p is calculated using the formula: Ep=mghE_p = mgh where mm is the mass, gg is the acceleration due to gravity, and hh is the height. Here, Ep=12 kg×9.8 m/s2×5 m=588 JE_p = 12 \text{ kg} \times 9.8 \text{ m/s}^2 \times 5 \text{ m} = 588 \text{ J}.

A.

Yes, because the forces can be balanced.

B.

No, any force will cause acceleration.

C.

Yes, because acceleration is independent of force.

D.

No, zero acceleration means no forces are acting.
Correct Answer: A

Solution:

Soni is correct because if the forces are balanced, the net force is zero, resulting in zero acceleration.

A.

125,000 J

B.

150,000 J

C.

200,000 J

D.

250,000 J
Correct Answer: A

Solution:

The work required to stop the car is equal to its kinetic energy. Convert the velocity to m/s: 60 km/h = 16.67 m/s. Kinetic energy, Ek=12mv2=12×1500×(16.67)2=125,000 JE_k = \frac{1}{2}mv^2 = \frac{1}{2} \times 1500 \times (16.67)^2 = 125,000 \text{ J}.

A.

200 J

B.

400 J

C.

800 J

D.

1600 J
Correct Answer: C

Solution:

The kinetic energy, KEKE, of an object is given by: KE=12mv2KE = \frac{1}{2}mv^2 where m=8 kgm = 8 \text{ kg} and v=10 m/sv = 10 \text{ m/s}. Thus, KE=12×8×(10)2=400 J.KE = \frac{1}{2} \times 8 \times (10)^2 = 400 \text{ J}.

A.

It is destroyed.

B.

It is converted into potential energy.

C.

It is converted into other forms of energy, such as heat and sound.

D.

It remains as kinetic energy.
Correct Answer: C

Solution:

When a freely falling object reaches the ground, its kinetic energy is converted into other forms of energy, such as heat and sound.

A.

5 J

B.

10 J

C.

15 J

D.

20 J
Correct Answer: B

Solution:

Work done is calculated as the product of force and displacement: W=F×s=5×2=10 JW = F \times s = 5 \times 2 = 10 \text{ J}.

A.

450,000 J

B.

900,000 J

C.

300,000 J

D.

600,000 J
Correct Answer: A

Solution:

The kinetic energy KK of an object is given by the formula: K=12mv2K = \frac{1}{2} m v^2 where mm is the mass and vv is the velocity. Here, m=1000 kgm = 1000 \text{ kg} and v=30 m/sv = 30 \text{ m/s}. Therefore, K=12×1000×302=450,000 JK = \frac{1}{2} \times 1000 \times 30^2 = 450,000 \text{ J}.

A.

Lifting a book vertically upwards.

B.

Holding a book stationary at a height.

C.

Pushing against a wall without moving it.

D.

Carrying a book horizontally at constant speed.
Correct Answer: A

Solution:

Positive work is done when a force causes displacement in the direction of the force. Lifting a book vertically upwards involves displacement in the direction of the applied force (upwards), hence positive work is done.

A.

250 J

B.

500 J

C.

50 J

D.

100 J
Correct Answer: A

Solution:

The work done on an object is calculated using the formula: W=F×sW = F \times s where FF is the force applied and ss is the displacement. Here, W=50 N×5 m=250 JW = 50 \text{ N} \times 5 \text{ m} = 250 \text{ J}.

A.

Potential energy to kinetic energy

B.

Kinetic energy to potential energy

C.

Chemical energy to thermal energy

D.

Thermal energy to chemical energy
Correct Answer: A

Solution:

When the toy car is wound, potential energy is stored in the spring. Upon release, this potential energy is converted into kinetic energy.

A.

150,000 J

B.

300,000 J

C.

600,000 J

D.

30,000 J
Correct Answer: B

Solution:

The kinetic energy EkE_k of an object is given by the formula: Ek=12mv2E_k = \frac{1}{2} m v^2 where mm is the mass and vv is the velocity. Here, Ek=12×1500 kg×(20 m/s)2=300,000 JE_k = \frac{1}{2} \times 1500 \text{ kg} \times (20 \text{ m/s})^2 = 300,000 \text{ J}.

A.

A car moving at a constant velocity on a straight road.

B.

A ball thrown vertically upwards.

C.

A satellite orbiting Earth in a circular path.

D.

A book sliding down an inclined plane.
Correct Answer: A

Solution:

An object can have zero acceleration if it is moving with constant velocity, which means the net force acting on it is zero. In option (a), the car is moving at a constant velocity, indicating balanced forces and zero acceleration.

A.

It is destroyed.

B.

It is converted into potential energy.

C.

It is converted into other forms of energy, like heat and sound.

D.

It remains as kinetic energy.
Correct Answer: C

Solution:

When a freely falling object hits the ground, its kinetic energy is transformed into other forms of energy, such as heat and sound.

A.

240 J

B.

360 J

C.

480 J

D.

600 J
Correct Answer: C

Solution:

Potential energy is given by the formula Ep=mgh=12×10×4=480 JE_p = mgh = 12 \times 10 \times 4 = 480 \text{ J}.

A.

500 J

B.

50 J

C.

100 J

D.

1000 J
Correct Answer: A

Solution:

The potential energy is given by Ep=mgh=10×10×5=500 JE_p = mgh = 10 \times 10 \times 5 = 500 \text{ J}.

A.

Yes, because the person exerted a force.

B.

No, because there was no displacement of the wall.

C.

Yes, because the person got tired.

D.

No, because the force was not enough.
Correct Answer: B

Solution:

In science, work is done only when there is displacement in the direction of the force. Since the wall did not move, no work was done.

A.

56 J

B.

15 J

C.

7 J

D.

0 J
Correct Answer: A

Solution:

Work done is calculated using the formula: W=F×sW = F \times s. Here, F=7 NF = 7 \text{ N} and s=8 ms = 8 \text{ m}. Therefore, W=7×8=56 JW = 7 \times 8 = 56 \text{ J}.

A.

1000 J

B.

2000 J

C.

500 J

D.

1500 J
Correct Answer: A

Solution:

The kinetic energy EkE_k is given by Ek=12mv2E_k = \frac{1}{2} mv^2. Substituting the given values, Ek=12×20×(10)2=1000E_k = \frac{1}{2} \times 20 \times (10)^2 = 1000 J.

A.

125,000 J

B.

150,000 J

C.

200,000 J

D.

250,000 J
Correct Answer: A

Solution:

To stop the car, the work done is equal to the initial kinetic energy of the car. The kinetic energy, KEKE, is given by the formula: KE=12mv2KE = \frac{1}{2}mv^2 where m=1500 kgm = 1500 \text{ kg} and v=60 km/h=60×10003600 m/s=16.67 m/sv = 60 \text{ km/h} = \frac{60 \times 1000}{3600} \text{ m/s} = 16.67 \text{ m/s}. Thus, KE=12×1500×(16.67)2=125,000 J.KE = \frac{1}{2} \times 1500 \times (16.67)^2 = 125,000 \text{ J}.

A.

Yes, because the forces can balance each other out.

B.

No, because forces always cause acceleration.

C.

Yes, because acceleration is independent of forces.

D.

No, because zero acceleration means no forces are acting.
Correct Answer: A

Solution:

Acceleration can be zero if the net force acting on an object is zero, meaning all the forces balance each other out.

A.

50 J

B.

100 J

C.

10 J

D.

200 J
Correct Answer: B

Solution:

Potential energy is given by the formula Ep=mghE_p = mgh. Substituting the values, Ep=5×10×2=100E_p = 5 \times 10 \times 2 = 100 J.

A.

Kinetic energy

B.

Potential energy

C.

Thermal energy

D.

Chemical energy
Correct Answer: B

Solution:

The energy stored in the toy car when it is wound up is potential energy, which is converted to kinetic energy when the car is released.

A.

60 J

B.

100 J

C.

80 J

D.

120 J
Correct Answer: A

Solution:

The work done on an object is calculated using the formula: W=F×sW = F \times s where FF is the force applied and ss is the displacement. Here, F=20 NF = 20 \text{ N} and s=3 ms = 3 \text{ m}. Therefore, W=20×3=60 JW = 20 \times 3 = 60 \text{ J}.

A.

A person pushing a wall with no displacement.

B.

A car moving on a highway.

C.

A book falling off a table.

D.

A windmill lifting water from a well.
Correct Answer: A

Solution:

According to the scientific definition of work, work is done when a force causes displacement. In option (a), there is no displacement, so the work done is zero.

A.

25 J

B.

50 J

C.

75 J

D.

100 J
Correct Answer: B

Solution:

The potential energy UU stored in a compressed or stretched spring is given by: U=12kx2U = \frac{1}{2} k x^2 where kk is the spring constant and xx is the displacement. Here, k=200 N/mk = 200 \text{ N/m} and x=0.5 mx = 0.5 \text{ m}. Therefore, U=12×200×(0.5)2=50 JU = \frac{1}{2} \times 200 \times (0.5)^2 = 50 \text{ J}.

A.

Energy can be created and destroyed.

B.

Energy can only be transformed from one form to another.

C.

The total energy of a system can increase over time.

D.

Energy is always lost during transformations.
Correct Answer: B

Solution:

According to the law of conservation of energy, energy can only be transformed from one form to another; it can neither be created nor destroyed. Therefore, option B is correct.

A.

12mV2\frac{1}{2} m V^2

B.

mghmgh

C.

mgmg

D.

12V2\frac{1}{2} V^2
Correct Answer: A

Solution:

The kinetic energy of an object is given by the formula 12mV2\frac{1}{2} m V^2.

A.

490 J

B.

50 J

C.

98 J

D.

980 J
Correct Answer: A

Solution:

The potential energy gained by an object is given by the formula: Ep=mghE_p = mgh, where mm is the mass, gg is the acceleration due to gravity, and hh is the height. Here, Ep=10 kg×9.8 m/s2×5 m=490 JE_p = 10 \text{ kg} \times 9.8 \text{ m/s}^2 \times 5 \text{ m} = 490 \text{ J}.

A.

72,000 J

B.

180,000 J

C.

7,200,000 J

D.

18,000,000 J
Correct Answer: D

Solution:

Total power = 4 devices \times 500 W = 2000 W. Energy consumed = Power \times Time = 2000 W \times 10 \times 3600 s = 72,000,000 J.

A.

980 J

B.

1960 J

C.

490 J

D.

1470 J
Correct Answer: B

Solution:

The gravitational potential energy EpE_p is given by the formula: Ep=mghE_p = mgh where mm is the mass, gg is the acceleration due to gravity, and hh is the height. Here, m=10 kgm = 10 \text{ kg}, g=9.8 m/s2g = 9.8 \text{ m/s}^2, and h=10 mh = 10 \text{ m}. Therefore, Ep=10×9.8×10=980×2=1960 JE_p = 10 \times 9.8 \times 10 = 980 \times 2 = 1960 \text{ J}.

A.

490 J

B.

980 J

C.

196 J

D.

245 J
Correct Answer: B

Solution:

The work done against gravity is given by the formula: W=mghW = mgh where m=10 kgm = 10 \text{ kg}, g=9.8 m/s2g = 9.8 \text{ m/s}^2, and h=5 mh = 5 \text{ m}. Thus, W=10×9.8×5=490 J.W = 10 \times 9.8 \times 5 = 490 \text{ J}.

A.

Energy can be created or destroyed.

B.

Energy can only be converted from one form to another.

C.

Energy conversion always results in energy loss.

D.

Energy conversion is not possible.
Correct Answer: B

Solution:

According to the law of conservation of energy, energy can only be converted from one form to another; it can neither be created nor destroyed.

A.

45 J

B.

30 J

C.

60 J

D.

15 J
Correct Answer: A

Solution:

Work done is calculated as W=F×sW = F \times s, where FF is the force and ss is the displacement. Here, W=15 N×3 m=45 JW = 15 \text{ N} \times 3 \text{ m} = 45 \text{ J}.

A.

When a force acts on an object and it moves in the direction of the force.

B.

When a force acts on an object regardless of its movement.

C.

Only when the object moves at a constant speed.

D.

Only when the object is lifted vertically.
Correct Answer: A

Solution:

According to the scientific definition, work is done when a force acts on an object and the object is displaced in the direction of the force.

A.

10 J

B.

5 J

C.

15 J

D.

20 J
Correct Answer: A

Solution:

Work done is calculated as the product of force and displacement. Therefore, work done = 5 N \times 2 m = 10 J.

A.

Holding a heavy box without moving

B.

Pushing a wall that does not move

C.

Lifting a book from the floor to a table

D.

Standing still with a bag on your back
Correct Answer: C

Solution:

Work is done when a force causes displacement. Lifting a book involves both force and displacement.

A.

Holding a heavy box without moving

B.

Pushing a car that doesn't move

C.

Lifting a book from the floor to a table

D.

Standing still with a backpack
Correct Answer: C

Solution:

According to the scientific definition, work is done when a force causes displacement. Lifting a book involves applying a force that causes the book to move, thus doing work.

A.

4 J

B.

8 J

C.

10 J

D.

12 J
Correct Answer: B

Solution:

The potential energy stored in a spring is given by the formula: PE=12kx2PE = \frac{1}{2}kx^2 where kk is the spring constant and xx is the compression distance. Substituting the given values: PE=12×200×(0.2)2=12×200×0.04=4 JPE = \frac{1}{2} \times 200 \times (0.2)^2 = \frac{1}{2} \times 200 \times 0.04 = 4 \text{ J} Therefore, the potential energy stored in the spring is 4 J, which corresponds to option a.

A.

24 J

B.

48 J

C.

36 J

D.

72 J
Correct Answer: A

Solution:

The potential energy stored in a compressed spring is given by: PE=12kx2PE = \frac{1}{2}kx^2 where k=300 N/mk = 300 \text{ N/m} and x=0.4 mx = 0.4 \text{ m}. Thus, PE=12×300×(0.4)2=24 J.PE = \frac{1}{2} \times 300 \times (0.4)^2 = 24 \text{ J}.

A.

2 J

B.

1 J

C.

0.5 J

D.

4 J
Correct Answer: A

Solution:

The work done on the spring is calculated by the formula: W=F×sW = F \times s where FF is the force and ss is the displacement. Here, W=10 N×0.2 m=2 JW = 10 \text{ N} \times 0.2 \text{ m} = 2 \text{ J}.

A.

200 J

B.

100 J

C.

150 J

D.

250 J
Correct Answer: A

Solution:

The work done WW is given by W=F×dW = F \times d, where FF is the force and dd is the displacement. Substituting the given values, W=50×4=200W = 50 \times 4 = 200 J.

True or False

Correct Answer: False

Solution:

To bring an object moving with constant velocity to rest, work must be done to counteract its kinetic energy.

Correct Answer: True

Solution:

Potential energy is given by the formula Ep=mghE_p = mgh, where hh is the height. As height increases, potential energy increases.

Correct Answer: True

Solution:

Mechanical energy is defined as the sum of kinetic energy and potential energy of an object.

Correct Answer: True

Solution:

In science, work is defined as the product of force and displacement. If there is no displacement, no work is done.

Correct Answer: True

Solution:

Kinetic energy is the energy possessed by an object due to its motion.

Correct Answer: True

Solution:

Work is measured in joules, which is equivalent to a newton meter (N m).

Correct Answer: True

Solution:

The law of conservation of energy states that energy can be transformed from one form to another, but the total energy remains unchanged.

Correct Answer: True

Solution:

An object can have zero acceleration even if multiple forces are acting on it, as long as the net force is zero.

Correct Answer: False

Solution:

According to the scientific definition, work is done only if there is displacement in the direction of the force. If displacement is zero, no work is done.

Correct Answer: True

Solution:

In science, work is defined as the product of the force applied on an object and the displacement of the object in the direction of the force.

Correct Answer: True

Solution:

When a freely falling object hits the ground, its kinetic energy is transformed into other forms of energy, such as sound, heat, and deformation energy.

Correct Answer: True

Solution:

An object can have multiple forces acting on it and still have zero acceleration if the forces are balanced, resulting in a net force of zero.

Correct Answer: False

Solution:

Potential energy is the energy possessed by an object due to its position or configuration, not its motion. Kinetic energy is the energy due to motion.

Correct Answer: False

Solution:

The law of conservation of energy states that energy can only be transformed from one form to another; it cannot be created or destroyed.

Correct Answer: False

Solution:

According to the law of conservation of energy, energy can neither be created nor destroyed; it can only be transformed from one form to another.

Correct Answer: True

Solution:

For work to be done, a force must act on an object and the object must be displaced in the direction of the force.

Correct Answer: True

Solution:

This statement reflects the law of conservation of energy, which states that energy can only be converted from one form to another and cannot be created or destroyed.

Correct Answer: True

Solution:

In science, work is defined as the product of force and displacement. If there is no displacement, no work is done.

Correct Answer: False

Solution:

An object in motion has kinetic energy, not necessarily potential energy, unless it is at a height or in a position where it can do work due to its position.

Correct Answer: False

Solution:

Work is done on an object when a force is applied and the object is displaced in the direction of the force. Even if an object is moving with constant velocity, work is done if there is a force causing this motion.

Correct Answer: True

Solution:

In this scenario, the windmill exerts a force on the water, causing it to move, which fits the scientific definition of work.

Correct Answer: True

Solution:

Work must be done on an object moving with constant velocity to reduce its kinetic energy to zero, thereby bringing it to rest.

Correct Answer: True

Solution:

Potential energy is given by the formula Ep=mghE_p = mgh, where mm is mass, gg is gravitational acceleration, and hh is height.

Correct Answer: True

Solution:

Mechanical energy is defined as the sum of kinetic energy and potential energy of an object.

Correct Answer: False

Solution:

In science, work is defined as the product of force and displacement in the direction of the force. If there is no displacement, no work is done, regardless of the effort exerted.

Correct Answer: True

Solution:

Work is defined as the product of force and displacement. If displacement is zero, no work is done.

Correct Answer: False

Solution:

A freely falling object converts its potential energy into kinetic energy as it falls. Upon reaching the ground, the kinetic energy is transformed into other forms, such as heat and sound.

Correct Answer: True

Solution:

As an object falls, its potential energy decreases and is converted into kinetic energy, maintaining the total mechanical energy constant.