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
3.5 kg9 m/s2 kg

A 3.5 kg trolley moving at 9 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 4.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 3.5 kgv1 = 9 m/sm2 = 2 kgv′1 = 4.5 m/s
v′2 = m/s
2.Easy
1600 kg19 m/s1000 kg

A 1600 kg car moving at 19 m/s runs into a stationary 1000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1600 kgv1 = 19 m/sm2 = 1000 kgv2 = 0 m/s
v′ = m/s
3.Medium
5 kgv = ?8 gh = 17 cm

An 8 g bullet is fired horizontally into a 5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 17 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 8 gM = 5 kgh = 17 cmg = 9.81 m/s²
v = m/s
4.Medium
500 kg13 m/s1600 kg

A 500 kg car moving at 13 m/s runs into a stationary 1600 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 500 kgv1 = 13 m/sm2 = 1600 kgv2 = 0
ΔK = J
5.Hard
13 m/s11 m/s

A 0.6 kg ball hits a wall at 13 m/s and bounces straight back at 11 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 13 m/svout = 11 m/sΔt = 10 ms
Favg = N
6.Hard
2 kgv = ?8 g15°L = 0.7 m

An 8 g bullet is fired horizontally into a 2 kg block hanging from light strings 0.7 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 = 8 gM = 2 kgL = 0.7 mθ = 15°g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v′2 = 7.875 m/s
  2. 2. v′ = 11.69 m/s
  3. 3. v = 1143 m/s
  4. 4. ΔK = 32190 J
  5. 5. Favg = 1440 N
  6. 6. v = 171.7 m/s

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