1.Easy
A 1100 kg car moving at 17 m/s runs into a stationary 1700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1100 kgv1 = 17 m/sm2 = 1700 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1900 kg car moving at 15 m/s runs into a stationary 1100 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1900 kgv1 = 15 m/sm2 = 1100 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 13 kg projectile moving horizontally at 13 m/s explodes into two fragments that move along the same line. The 8 kg fragment continues forwards at 61 m/s. Find the velocity v′2 of the 5 kg fragment (positive in the original direction).
M = 13 kgu = 13 m/sm1 = 8 kgv′1 = 61 m/sm2 = 5 kg
v′2 = m/s
4.Medium
An 8 g bullet is fired horizontally into a 5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 8 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
m = 8 gM = 5 kgh = 8 cmg = 9.81 m/s²
v = m/s
5.Hard
At a crossing a 2000 kg car travelling east at 24 m/s collides with a 900 kg car travelling north at 25 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
m1 = 2000 kgv1 = 24 m/s (E)m2 = 900 kgv2 = 25 m/s (N)
v′ = m/s
6.Hard
A 10 g bullet is fired horizontally into a 2 kg block hanging from light strings 1.4 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
m = 10 gM = 2 kgL = 1.4 mθ = 15°g = 9.81 m/s²
v = m/s
Answer key
- 1. v′ = 6.679 m/s
- 2. v′ = 9.5 m/s
- 3. v′2 = −63.8 m/s
- 4. v = 784.3 m/s
- 5. v′ = 18.28 m/s
- 6. v = 194.5 m/s
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