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
4.5 kg5.5 m/s3 kg

A 4.5 kg trolley moving at 5.5 m/s runs into a 3 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 = 4.5 kgv1 = 5.5 m/sm2 = 3 kgv′1 = 3 m/s
v′2 = m/s
2.Easy
2000 kg5 m/s600 kg

A 2000 kg car moving at 5 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 = 2000 kgv1 = 5 m/sm2 = 600 kgv2 = 0 m/s
v′ = m/s
3.Medium
3.5 kg9 m/s2 kg

A 3.5 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 = 3.5 kgm2 = 2 kgv1 = 9 m/sv2 = 0
v′2 = m/s
4.Medium
1500 kg23 m/s1900 kg

A 1500 kg car moving at 23 m/s runs into a stationary 1900 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1500 kgv1 = 23 m/sm2 = 1900 kgv2 = 0
ΔK/K = %
5.Hard
16 m/s5 m/s

A 0.5 kg ball hits a wall at 16 m/s and bounces straight back at 5 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.5 kgvin = 16 m/svout = 5 m/sΔt = 20 ms
J = N·s
6.Hard
2.5 kgv = ?5 g30°L = 0.9 m

A 5 g bullet is fired horizontally into a 2.5 kg block hanging from light strings 0.9 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 = 2.5 kgL = 0.9 mθ = 30°g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v′2 = 3.75 m/s
  2. 2. v′ = 3.846 m/s
  3. 3. v′2 = 11.45 m/s
  4. 4. ΔK/K = 55.88 %
  5. 5. J = 10.5 N·s
  6. 6. v = 770.6 m/s

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