Numerical Worksheet: Real-Life Applications of Newton’s Laws, Impulse & Momentum
20 Numerical MCQs | CBSE / NEET / JEE Main Level
Use wherever required.
1. Bus Starting Suddenly — Inertia
A 60 kg passenger is standing in a bus. The bus accelerates from rest at 2 m/s2. The horizontal force required to accelerate the passenger along with the bus is:
A) 30 N
B) 60 N
C) 120 N
D) 600 N
2. Sudden Braking
A 50 kg passenger moving with a bus at 20 m/s is brought to rest in 5 s. The magnitude of average force needed to stop the passenger is:
A) 100 N
B) 150 N
C) 200 N
D) 250 N
3. Shopping Cart
A 20 kg shopping cart is pushed with a net force of 60 N. Its acceleration is:
A) 1 m/s2
B) 2 m/s2
C) 3 m/s2
D) 4 m/s2
4. Loaded Truck
A truck of mass 2000 kg is accelerated at 1.5 m/s2. The net force acting on it is:
A) 1000 N
B) 2000 N
C) 3000 N
D) 4000 N
5. Catching a Cricket Ball
A 0.2 kg cricket ball moving at 25 m/s is brought to rest by a player in 0.1 s. The average force exerted on the ball is:
A) 25 N
B) 50 N
C) 75 N
D) 100 N
6. Catching with Soft Hands
A 0.15 kg ball moving at 20 m/s is stopped in 0.05 s. If the player instead increases the stopping time to 0.20 s, the average stopping force becomes:
A) 5 N
B) 10 N
C) 15 N
D) 20 N
7. Airbag
A 60 kg passenger moving at 15 m/s is brought to rest by an airbag in 0.30 s. The average force exerted by the airbag is:
A) 1500 N
B) 2000 N
C) 3000 N
D) 4500 N
8. Cushioning Effect
A 2 kg object falls and reaches the ground with a speed of 10 m/s. It is stopped in 0.02 s by a hard floor. The average impact force is:
A) 500 N
B) 750 N
C) 1000 N
D) 1250 N
9. Cushion Instead of Hard Floor
The same 2 kg object in Question 8 is stopped by a cushion in 0.20 s. The average impact force is:
A) 50 N
B) 100 N
C) 200 N
D) 500 N
10. Impulse on a Football
A 0.5 kg football initially at rest is kicked and reaches 20 m/s in 0.1 s. The impulse delivered to the ball is:
A) 5 Ns
B) 10 Ns
C) 15 Ns
D) 20 Ns
11. Batting a Cricket Ball
A 0.1 kg cricket ball approaches a batsman at 30 m/s and is hit back at 20 m/s. The magnitude of change in momentum is:
A) 1 kg m/s
B) 2 kg m/s
C) 3 kg m/s
D) 5 kg m/s
12. Hammer and Nail
A hammer exerts an average force of 500 N on a nail for 0.02 s. The impulse delivered to the nail is:
A) 5 Ns
B) 10 Ns
C) 20 Ns
D) 25 Ns
13. Recoil of a Gun
A 5 kg gun fires a 0.05 kg bullet with a speed of 400 m/s. If the gun was initially at rest, its recoil speed is:
A) 2 m/s
B) 4 m/s
C) 6 m/s
D) 8 m/s
14. Rocket Propulsion
A rocket ejects 100 kg of gas backward at 50 m/s relative to the ground during a short interval. If the rocket has mass 1000 kg and the system was initially at rest, the rocket's speed immediately after ejection is:
A) 2.5 m/s
B) 5 m/s
C) 10 m/s
D) 50 m/s
15. Collision of Two Carts
A 2 kg cart moving at 6 m/s collides with a stationary 4 kg cart. They stick together. Their common velocity is:
A) 1 m/s
B) 2 m/s
C) 3 m/s
D) 4 m/s
16. Two Skaters Push Apart
Two skaters of masses 40 kg and 60 kg are initially at rest. After pushing each other, the 40 kg skater moves at 3 m/s. The speed of the 60 kg skater is:
A) 1 m/s
B) 2 m/s
C) 3 m/s
D) 4 m/s
17. Collision and Change in Momentum
A 1000 kg car moving at 20 m/s is brought to rest in 4 s. The average braking force is:
A) 2500 N
B) 4000 N
C) 5000 N
D) 8000 N
18. Seat Belt and Momentum
A 70 kg passenger is travelling at 18 m/s. A seat belt brings the passenger to rest in 0.6 s. The average force on the passenger is:
A) 1200 N
B) 1800 N
C) 2100 N
D) 2400 N
19. Comparing Cushioning Times
A 5 kg object moving at 12 m/s is brought to rest. If the stopping time is increased from 0.1 s to 0.5 s, the ratio of the average forces in the two cases is:
A)
B)
C)
D)
20. Real-Life Application of Newton's Second Law
A 1200 kg car experiences a driving force of 4000 N and a resistive force of 1000 N. Its acceleration is:
A) 1.5 m/s2
B) 2.0 m/s2
C) 2.5 m/s2
D) 3.0 m/s2
Answer Key
| Q | Answer | Q | Answer |
|---|---|---|---|
| 1 | C | 11 | D |
| 2 | C | 12 | B |
| 3 | C | 13 | B |
| 4 | C | 14 | B |
| 5 | B | 15 | B |
| 6 | C | 16 | B |
| 7 | C | 17 | C |
| 8 | C | 18 | C |
| 9 | B | 19 | B |
| 10 | B | 20 | C |
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