Work, Energy And Power Multiple Choice Question And Answers
Question 1. When a horse-pulls a cart, who does the work ?
- Cart
- Wheels
- Road
- Horse
Answer: 4. Horse
When a horse-pulls a cart, work is being done by horse.
Question 2. If 10 N of force is applied to an object, but the object does not move, then how much work being done by the force ?
- Zero
- 10 J
- 10N
- 20 J
Answer: 1. Zero
If there is no displacement due to application of force, then net work done will be zero.
Question 3. A 4 N of force displaces a body by 2m, the work done will be
- 5 J
- 8 J
- 8 N
- 5 N
Answer: 2. 8 J
Work done by given force =force x displacement = 4 x 2 =8J
Question 4. A car is moving uniformly in a circular racing track of radius 1 km. If the car makes two complete round. How much work is done by the car, if car has a force of 20 kN?
- Zero
- 20 kJ
- 200 kJ
- 2000 kJ
Answer: 1. Zero
During a circular motion, force is perpendicular to the displacement, so net work done is zero.
Question 5. What kind of energy is possessed by a running horse?
- Kinetic energy
- Potential energy
- No energy
- Heat energy
Answer: 1. Kinetic energy
A running horse has kinetic energy.
Question 6. If two stones A and B are dropped from a tower, then which one has maximum kinetic energy ?
- Lighter stone
- Heavier stone
- Both have equal
- None of the above
Answer: 2. Heavier stone
If two stones are dropped from some height, then the heavier stone has greater kinetic energy w.r.t. lighter one.
Question 7. A monkey weighing 50 kg climbs up a vertical tree of height 300 m. How much potential energy does it gain? [Take, g=9.8 m / \(s^2\) ]
- 147 \(\times 10^4 \mathrm{~J}\)
- 14.7 \(\times 10^3 \mathrm{~J}\)
- 14.7 \(\times 10^2 \mathrm{~J}\)
- 14.7 \(\times 10^4 \mathrm{~J}\)
Answer: 4. 14.7 \(\times 10^4 \mathrm{~J}\)
Given, m=50 kg, g=9.8 \(ms^{-2}\), b=300 m
Work done by the body = mgh
=50 \(\times 9.8300=14.7 \times 10^4 \mathrm{~J}\)
Gain in PE = Work done =14.7 \(\times 10^4\) J
Question 8. A scooter of mass 150 kg is travelling at 10 m/s. If its speed increases to 15 m/s, then by how much amount does its kinetic energy increases ?
- 9500 J
- 9425 J
- 9375 J
- 9753 J
Answer: 3. 9375 J
Given, m=150 kg, \(v_1\)=10 m / s and \(v_2\)=15 m/ s
The change in kinetic energy
=\(\mathrm{KE}_2-\mathrm{KE}_1=\frac{1}{2} m v_2^2-\frac{1}{2} m v_1^2\)
=\(\frac{1}{2} \times 150 \times 15^2-\frac{1}{2} \times 150 \times 10^2\)
= 16875-7500= 9375 J
Question 9. A ball is allowed to fall freely from a tower. Which energy is possessed at the middle point during the fall ?
- Kinetic only
- Potential only
- Both (1) and (2)
- Heat only
Answer: 3. Both (1) and (2)
At middle point of fall, the ball has both kinetic and potential energy.
Question 10. In head phone, the electrical energy is converted to what ?
- Light energy
- Sound energy
- Chemical energy
- Heat energy
Answer: 2. Sound energy
Electrical energy changes into sound energy.
Question 11. Which mathematical relation of energy of a stone of mass m fading freely from height h remains conserved at every point in its downward motion?
- E = mgh
- E=\(\frac{1}{2} m v^2\)
- E=\(m g h+\frac{1}{2} m v^2\)
- None of these
Answer: 3. E=\(m g h+\frac{1}{2} m v^2\)
Total energy ot the free hilling stone is conserved.
So, total energy = kinetic energy + potential energy.
Or E=\(m g+\frac{1}{2} m v^2[latex]
Question 12. If a stone of mass 5 kg drops from height 20 m, then what will be the velocity at the surface of earth ? (hike, g = 10 m/s²)
- 20 m/s
- 30 m/s
- 35 m/s
- 40 m/s
Answer: 1. 20 m/s
Given, mass of stone, m = 5 kg
Height, h = 20 m and g =10 m/s²
So, potendal energy at highest point = mgh
= 5 x 10 x 20 = 1000 J
Now, according to conservation of energy,
kinetic energy at surface of the earth = potential energy at height h
So, 1/2 m [latex]v^2\) =\(m g h^h\)
⇒ \(v^2 =\frac{2 m g^b}{m}\)
v =\(\sqrt{2 g^b}=\sqrt{2 \times 10 \times 20}=20 \mathrm{~m} / \mathrm{s}\)
Question 13. Mukesh drops a ball of 200 g from a tower of height 20 m. What will be its kinetic energy at the height of 5 m ?
- 30 J
- 50 J
- 60 J
- 65 J
Answer: 1. 30 J
Given, m = 200 g = 0.2 kg, height, h = 20 m
When ball reaches at height of 5 m, its velocity is given by
⇒ \(v^2=v^2+2 g\)
⇒ \(v^2=0^2+2 \times 10 \times 15\)
v=\(\sqrt{300}=\sqrt{100 \times 3}=10 \sqrt{3}\)
So, kinetic energy \(\left.=\frac{1}{2} m v^2=\frac{1}{2} \times 0.2 \times 300=30\right]\)
Question 14. An object of mass 50 kg is raised to a height of 7 m above the ground. What is its potential energy? If object is allowed to fall, then its kinetic energy when it is half way down.
- 3500 J, 1650 J
- 3800 J, 1750 J
- 3800 J, 1650 J
- 3500 J, 1750 J
Answer: 4. 3500 J, 1750 J
Given, mass, m = 50 kg, height, h = 7 m
As, potential energy is given by PR = mgh =50x 10x 7 = 3500J
When it is allowed to fall its potential energy gets converted into kinetic energy.
So, when it reaches the half-way, half of its potential energy gets converted to kinetic energy.
Question 15. A horse does 5000 J of work in 100 s. What is its power ?
- 50 W
- 50 J
- 10W
- 10J
Answer: 1. 50 W
Given, work done (W) = 5000 J
Time taken (r) =100 s
We know that,
Power,P=\(\frac{W}{t}=\frac{5000}{100}=50 \mathrm{~J} / \mathrm{s}\)
Thus, power, P=50 W
Question 16. The power uses of household water pump is 200 W. What is the mass of water, the pump can lift per minute from a 7 m deep tank? [Take, g =10 m/s²]
- 172 kg
- 272 kg
- 150 kg
- 250 kg
Answer: 1. 172 kg
Given,power,.P = 200 W^ = 60 s,height,h = 7m
Energy supplied to the pump = Power x Time = 200 Wx 60s =12000J
So, energy =mgh
12000 = m x 10 x 7
m = 172 kg
So, mass of the water is 172 kg.
Question 17. A certain household has consumed 200 units of energy during a month. How much energy is then in joules?
- 72 \(\times 10^5 \mathrm{~J}\)
- 72 \(\times 10^7 \mathrm{~J}\)
- 7.2 \(\times 10^8 \mathrm{~J}\)
- 72 \(\times 10^{\mathrm{B}} \mathrm{J}\)
Answer: 3. 7.2 \(\times 10^8 \mathrm{~J}\)
Given, energy consumed = 200 units
= 200 kWh = 200x 1000×3600
= 7.2 x 108 J
Question 18. Ankit does 500 J of work in 15 min and Bablu does 700 J of work in 30 min. Who expends more power, Ankit or Bablu ?
- Ankit
- Bablu
- Both same
- Insufficient information
Answer: 1. Ankit
Power expended by Ankit =\(\frac{W}{t}=\frac{500}{15 \times 60}\)=0.55J
and power expended by Bablu =\(\frac{700}{30 \times 60}\)=0.38 J
Ankit expends more power.