Impulse and Momentum Problems for Competitive Exam Prep

Impulse and Momentum Problems

Q. A 0.5 kg soccer ball is kicked, resulting in a change in velocity from 0 m/s to 10 m/s. What is the impulse given to the ball?

A. 5 Ns
B. 10 Ns
C. 2.5 Ns
D. 1 Ns

Solution

Impulse (J) = mass (m) × change in velocity (Δv) = 0.5 kg × (10 m/s - 0 m/s) = 5 Ns.

Correct Answer: A — 5 Ns

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Q. A 1 kg object moving at 5 m/s collides with a stationary object. If the collision is perfectly elastic, what is the final momentum of the system?

A. 5 kg·m/s
B. 0 kg·m/s
C. 10 kg·m/s
D. 2.5 kg·m/s

Solution

In a perfectly elastic collision, momentum is conserved. Initial momentum = 1 kg × 5 m/s = 5 kg·m/s.

Correct Answer: A — 5 kg·m/s

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Q. A 2 kg object moving at 10 m/s collides with a 3 kg object at rest. What is the total momentum before the collision?

A. 20 kg·m/s
B. 10 kg·m/s
C. 30 kg·m/s
D. 15 kg·m/s

Solution

Total momentum = momentum of 2 kg object + momentum of 3 kg object = (2 kg × 10 m/s) + (3 kg × 0 m/s) = 20 kg·m/s.

Correct Answer: A — 20 kg·m/s

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Q. A 3 kg object is moving with a momentum of 12 kg·m/s. What is its velocity?

A. 4 m/s
B. 3 m/s
C. 2 m/s
D. 1 m/s

Solution

Momentum (p) = mass (m) × velocity (v) => velocity (v) = p/m = 12 kg·m/s / 3 kg = 4 m/s.

Correct Answer: A — 4 m/s

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Q. A 4 kg object is moving at 6 m/s. If it collides with a wall and comes to a stop, what is the impulse experienced by the object?

A. 24 Ns
B. 12 Ns
C. 6 Ns
D. 30 Ns

Solution

Impulse (J) = change in momentum = mass (m) × change in velocity (Δv) = 4 kg × (0 - 6 m/s) = -24 Ns.

Correct Answer: A — 24 Ns

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Q. A 5 kg object is moving at a velocity of 3 m/s. What is its momentum?

A. 15 kg·m/s
B. 5 kg·m/s
C. 3 kg·m/s
D. 10 kg·m/s

Solution

Momentum (p) = mass (m) × velocity (v) = 5 kg × 3 m/s = 15 kg·m/s.

Correct Answer: A — 15 kg·m/s

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Q. A car of mass 1000 kg comes to a stop from a speed of 20 m/s. What is the impulse experienced by the car?

A. 20000 Ns
B. 10000 Ns
C. 5000 Ns
D. 40000 Ns

Solution

Impulse (J) = change in momentum = mass (m) × change in velocity (Δv) = 1000 kg × (0 - 20 m/s) = -20000 Ns.

Correct Answer: A — 20000 Ns

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Q. If a 10 kg object experiences an impulse of 30 Ns, what is the change in its velocity?

A. 3 m/s
B. 2 m/s
C. 1 m/s
D. 4 m/s

Solution

Impulse (J) = mass (m) × change in velocity (Δv) => Δv = J/m = 30 Ns / 10 kg = 3 m/s.

Correct Answer: A — 3 m/s

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Q. If a 2 kg ball is thrown with a velocity of 4 m/s, what is the impulse imparted to the ball?

A. 8 Ns
B. 4 Ns
C. 2 Ns
D. 16 Ns

Solution

Impulse (J) = change in momentum = mass (m) × velocity (v) = 2 kg × 4 m/s = 8 Ns.

Correct Answer: A — 8 Ns

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Impulse and Momentum Problems

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