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
1700 kg14 m/s1700 kg2 m/s

A 1700 kg car moving at 14 m/s collides head-on with a 1700 kg car moving at 2 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 = 1700 kgv1 = 14 m/sm2 = 1700 kgv2 = −2 m/s
v′ = m/s
2.Easy
3.5 kg6.5 m/s2.5 kg

A 3.5 kg trolley moving at 6.5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 3.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 3.5 kgv1 = 6.5 m/sm2 = 2.5 kgv′1 = 3.5 m/s
v′2 = m/s
3.Medium
1 kg6 m/s5 kg

A 1 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′2 of the second glider after the collision.

m1 = 1 kgm2 = 5 kgv1 = 6 m/sv2 = 0
v′2 = m/s
4.Medium
3 kg10 m/s4 kg

A 3 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 4 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 3 kgm2 = 4 kgv1 = 10 m/sv2 = 0
v′2 = m/s
5.Hard
12 m/s6 m/s

A 0.55 kg ball hits a wall at 12 m/s and bounces straight back at 6 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.55 kgvin = 12 m/svout = 6 m/sΔt = 5 ms
Favg = N
6.Hard
17 m/s13 m/s

A 0.1 kg ball hits a wall at 17 m/s and bounces straight back at 13 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.

m = 0.1 kgvin = 17 m/svout = 13 m/sΔt = 25 ms
Favg = N

Answer key

  1. 1. v′ = 6 m/s
  2. 2. v′2 = 4.2 m/s
  3. 3. v′2 = 2 m/s
  4. 4. v′2 = 8.571 m/s
  5. 5. Favg = 1980 N
  6. 6. Favg = 120 N

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