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 kg4.5 m/s2 kg

A 3.5 kg trolley moving at 4.5 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 2.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 3.5 kgv1 = 4.5 m/sm2 = 2 kgv′1 = 2.5 m/s
v′2 = m/s
2.Easy
600 kg9 m/s1300 kg

A 600 kg car moving at 9 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 600 kgv1 = 9 m/sm2 = 1300 kgv2 = 0 m/s
v′ = m/s
3.Medium
4 kg54 m/s6 kgv′2​ = ?

A 10 kg projectile moving horizontally at 39 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 54 m/s. Find the velocity v′2 of the 6 kg fragment (positive in the original direction).

M = 10 kgu = 39 m/sm1 = 4 kgv′1 = 54 m/sm2 = 6 kg
v′2 = m/s
4.Medium
2.5 kg12 m/s5 kg

A 2.5 kg glider moving at 12 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 = 2.5 kgm2 = 5 kgv1 = 12 m/sv2 = 0
v′2 = m/s
5.Hard
28 m/s11 m/s

A 0.1 kg ball hits a wall at 28 m/s and bounces straight back at 11 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.1 kgvin = 28 m/svout = 11 m/sΔt = 5 ms
Favg = N
6.Hard
900 kg21 m/s1000 kg17 m/sθ = ?

At a crossing a 900 kg car travelling east at 21 m/s collides with a 1000 kg car travelling north at 17 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 900 kgv1 = 21 m/s (E)m2 = 1000 kgv2 = 17 m/s (N)
θ = °

Answer key

  1. 1. v′2 = 3.5 m/s
  2. 2. v′ = 2.842 m/s
  3. 3. v′2 = 29 m/s
  4. 4. v′2 = 8 m/s
  5. 5. Favg = 780 N
  6. 6. θ = 41.97 °

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