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
1.5 kg8.5 m/s2.5 kg

A 1.5 kg trolley moving at 8.5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 3 m/s. Find the velocity v′2 of the second trolley.

m1 = 1.5 kgv1 = 8.5 m/sm2 = 2.5 kgv′1 = 3 m/s
v′2 = m/s
2.Easy
3.5 kg750 m/sV = ?

A 3.5 kg rifle, free to move, fires a 5 g bullet at 750 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 3.5 kgm = 5 gv = 750 m/s
V = m/s
3.Medium
1600 kg12 m/s1000 kg

A 1600 kg car moving at 12 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 = 1600 kgv1 = 12 m/sm2 = 1000 kgv2 = 0
ΔK = J
4.Medium
1.5 kgv = ?12 gh = 23 cm

A 12 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 23 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 12 gM = 1.5 kgh = 23 cmg = 9.81 m/s²
v = m/s
5.Hard
1800 kgv1​ = ?800 kg

A 1800 kg car runs into a parked 800 kg car. The wrecks lock together and skid 8 m before stopping. The coefficient of kinetic friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1800 kgm2 = 800 kgd = 8 mμ = 0.6g = 9.81 m/s²
v1 = m/s
6.Hard
15 m/s20 m/s

A 0.2 kg ball hits a wall at 15 m/s and bounces straight back at 20 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.2 kgvin = 15 m/svout = 20 m/sΔt = 40 ms
J = N·s

Answer key

  1. 1. v′2 = 3.3 m/s
  2. 2. V = 1.071 m/s
  3. 3. ΔK = 44308 J
  4. 4. v = 267.7 m/s
  5. 5. v1 = 14.02 m/s
  6. 6. J = 7 N·s

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