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 kg9.5 m/s5 kg

A 4.5 kg trolley moving at 9.5 m/s runs into a 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 = 4.5 kgv1 = 9.5 m/sm2 = 5 kgv′1 = 3 m/s
v′2 = m/s
2.Easy
600 kg11 m/s2000 kg4 m/s

A 600 kg car moving at 11 m/s collides head-on with a 2000 kg car moving at 4 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 600 kgv1 = 11 m/sm2 = 2000 kgv2 = −4 m/s
v′ = m/s
3.Medium
2 kg6 m/s5 kg

A 2 kg glider moving at 6 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′1 of the first glider after the collision (positive in its original direction).

m1 = 2 kgm2 = 5 kgv1 = 6 m/sv2 = 0
v′1 = m/s
4.Medium
4.5 kg11 m/s3 kg

A 4.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 3 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 4.5 kgm2 = 3 kgv1 = 11 m/sv2 = 0
v′2 = m/s
5.Hard
1 kgv = ?8 g35°L = 2 m

An 8 g bullet is fired horizontally into a 1 kg block hanging from light strings 2 m long, and stays in it. The strings swing out to a largest angle of 35° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 8 gM = 1 kgL = 2 mθ = 35°g = 9.81 m/s²
v = m/s
6.Hard
8 m/s6 m/s

A 0.5 kg ball hits a wall at 8 m/s and bounces straight back at 6 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.5 kgvin = 8 m/svout = 6 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′2 = 5.85 m/s
  2. 2. v′ = −0.5385 m/s
  3. 3. v′1 = −2.571 m/s
  4. 4. v′2 = 13.2 m/s
  5. 5. v = 335.7 m/s
  6. 6. Favg = 700 N

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