Momentum & collisions worksheet with answers

Free printable Momentum & collisions worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
5 kg8.5 m/s4 kg

A 5 kg trolley moving at 8.5 m/s runs into a 4 kg trolley at rest. After the collision the first trolley continues in the same direction at 4 m/s. Find the velocity v′2 of the second trolley.

m1 = 5 kgv1 = 8.5 m/sm2 = 4 kgv′1 = 4 m/s
v′2 = m/s
2.Easy
5.5 kg850 m/sV = ?

A 5.5 kg rifle, free to move, fires an 8 g bullet at 850 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 5.5 kgm = 8 gv = 850 m/s
V = m/s
3.Medium
2.5 kg9 m/s2 kg

A 2.5 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 = 2.5 kgm2 = 2 kgv1 = 9 m/sv2 = 0
v′2 = m/s
4.Medium
1 kgv = ?10 gh = 19 cm

A 10 g bullet is fired horizontally into a 1 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 19 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 10 gM = 1 kgh = 19 cmg = 9.81 m/s²
v = m/s
5.Hard
800 kg10 m/s1000 kg10 m/sv′ = ?

At a crossing an 800 kg car travelling east at 10 m/s collides with a 1000 kg car travelling north at 10 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 800 kgv1 = 10 m/s (E)m2 = 1000 kgv2 = 10 m/s (N)
v′ = m/s
6.Hard
24 m/s18 m/s

A 0.35 kg ball hits a wall at 24 m/s and bounces straight back at 18 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.35 kgvin = 24 m/svout = 18 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′2 = 5.625 m/s
  2. 2. V = 1.236 m/s
  3. 3. v′2 = 10 m/s
  4. 4. v = 195 m/s
  5. 5. v′ = 7.115 m/s
  6. 6. Favg = 1470 N

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