1.Easy
A 700 kg car moving at 19 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 = 700 kgv1 = 19 m/sm2 = 1700 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1500 kg car moving at 18 m/s runs into a stationary 700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1500 kgv1 = 18 m/sm2 = 700 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 10 g bullet is fired horizontally into a 3.5 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 = 10 gM = 3.5 kgh = 4 cmg = 9.81 m/s²
v = m/s
4.Medium
A 1.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 1.5 kgm2 = 2 kgv1 = 9 m/sv2 = 0
v′2 = m/s
5.Hard
A 0.5 kg ball hits a wall at 30 m/s and bounces straight back at 19 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.5 kgvin = 30 m/svout = 19 m/sΔt = 25 ms
J = N·s
6.Hard
A 0.45 kg ball hits a wall at 15 m/s and bounces straight back at 17 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
m = 0.45 kgvin = 15 m/svout = 17 m/sΔt = 40 ms
Favg = N
Answer key
- 1. v′ = 5.542 m/s
- 2. v′ = 12.27 m/s
- 3. v = 310.9 m/s
- 4. v′2 = 7.714 m/s
- 5. J = 24.5 N·s
- 6. Favg = 360 N
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