1.Easy
A 1900 kg car moving at 13 m/s runs into a stationary 1500 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 = 13 m/sm2 = 1500 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 3.5 kg trolley moving at 4 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 2 m/s. Find the velocity v′2 of the second trolley.
m1 = 3.5 kgv1 = 4 m/sm2 = 2.5 kgv′1 = 2 m/s
v′2 = m/s
3.Medium
A 2000 kg car moving at 9 m/s runs into a stationary 1000 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
m1 = 2000 kgv1 = 9 m/sm2 = 1000 kgv2 = 0
ΔK = J
4.Medium
An 8 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 4 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
m = 8 gM = 1.5 kgh = 4 cmg = 9.81 m/s²
v = m/s
5.Hard
A 15 g bullet is fired horizontally into a 1 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 30° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
m = 15 gM = 1 kgL = 1.7 mθ = 30°g = 9.81 m/s²
v = m/s
6.Hard
A 12 g bullet is fired horizontally into a 1 kg block hanging from light strings 0.9 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 = 12 gM = 1 kgL = 0.9 mθ = 15°g = 9.81 m/s²
v = m/s
Answer key
- 1. v′ = 7.265 m/s
- 2. v′2 = 2.8 m/s
- 3. ΔK = 27000 J
- 4. v = 167 m/s
- 5. v = 143 m/s
- 6. v = 65.42 m/s
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