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
2.5 kg2 m/s3.5 kg

A 2.5 kg trolley moving at 2 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 2.5 kgv1 = 2 m/sm2 = 3.5 kgv′1 = 0.5 m/s
v′2 = m/s
2.Easy
700 kg19 m/s900 kg

A 700 kg car moving at 19 m/s runs into a stationary 900 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 700 kgv1 = 19 m/sm2 = 900 kgv2 = 0 m/s
v′ = m/s
3.Medium
10 kg84 m/s3 kgv′2​ = ?

A 13 kg projectile moving horizontally at 24 m/s explodes into two fragments that move along the same line. The 10 kg fragment continues forwards at 84 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).

M = 13 kgu = 24 m/sm1 = 10 kgv′1 = 84 m/sm2 = 3 kg
v′2 = m/s
4.Medium
4.5 kg5 m/s5 kg

A 4.5 kg glider moving at 5 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 = 4.5 kgm2 = 5 kgv1 = 5 m/sv2 = 0
v′1 = m/s
5.Hard
27 m/s15 m/s

A 0.15 kg ball hits a wall at 27 m/s and bounces straight back at 15 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.15 kgvin = 27 m/svout = 15 m/sΔt = 5 ms
Favg = N
6.Hard
13 m/s4 m/s

A 0.4 kg ball hits a wall at 13 m/s and bounces straight back at 4 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.4 kgvin = 13 m/svout = 4 m/sΔt = 5 ms
J = N·s

Answer key

  1. 1. v′2 = 1.071 m/s
  2. 2. v′ = 8.313 m/s
  3. 3. v′2 = −176 m/s
  4. 4. v′1 = −0.2632 m/s
  5. 5. Favg = 1260 N
  6. 6. J = 6.8 N·s

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