1.Easy
A 1300 kg car moving at 7 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1300 kgv1 = 7 m/sm2 = 500 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1800 kg car moving at 12 m/s runs into a stationary 600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1800 kgv1 = 12 m/sm2 = 600 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 13 kg projectile moving horizontally at 12 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 37 m/s. Find the velocity v′2 of the 12 kg fragment (positive in the original direction).
M = 13 kgu = 12 m/sm1 = 1 kgv′1 = 37 m/sm2 = 12 kg
v′2 = m/s
4.Medium
A 12 g bullet is fired horizontally into a 2 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 = 12 gM = 2 kgh = 4 cmg = 9.81 m/s²
v = m/s
5.Hard
A 0.35 kg ball hits a wall at 8 m/s and bounces straight back at 12 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.35 kgvin = 8 m/svout = 12 m/sΔt = 25 ms
J = N·s
6.Hard
A 5 g bullet is fired horizontally into a 3 kg block hanging from light strings 0.8 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 = 5 gM = 3 kgL = 0.8 mθ = 30°g = 9.81 m/s²
v = m/s
Answer key
- 1. v′ = 5.056 m/s
- 2. v′ = 9 m/s
- 3. v′2 = 9.917 m/s
- 4. v = 148.5 m/s
- 5. J = 7 N·s
- 6. v = 871.5 m/s
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