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
1200 kg15 m/s1800 kg13 m/s

A 1200 kg car moving at 15 m/s collides head-on with a 1800 kg car moving at 13 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 = 1200 kgv1 = 15 m/sm2 = 1800 kgv2 = −13 m/s
v′ = m/s
2.Easy
1900 kg25 m/s900 kg

A 1900 kg car moving at 25 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 = 1900 kgv1 = 25 m/sm2 = 900 kgv2 = 0 m/s
v′ = m/s
3.Medium
3.5 kgv = ?15 gh = 22 cm

A 15 g bullet is fired horizontally into a 3.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 22 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 15 gM = 3.5 kgh = 22 cmg = 9.81 m/s²
v = m/s
4.Medium
6 kg47 m/s10 kgv′2​ = ?

A 16 kg projectile moving horizontally at 40 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 47 m/s. Find the velocity v′2 of the 10 kg fragment (positive in the original direction).

M = 16 kgu = 40 m/sm1 = 6 kgv′1 = 47 m/sm2 = 10 kg
v′2 = m/s
5.Hard
23 m/s9 m/s

A 0.35 kg ball hits a wall at 23 m/s and bounces straight back at 9 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.

m = 0.35 kgvin = 23 m/svout = 9 m/sΔt = 25 ms
Favg = N
6.Hard
26 m/s6 m/s

A 0.55 kg ball hits a wall at 26 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 = 26 m/svout = 6 m/sΔt = 5 ms
Favg = N

Answer key

  1. 1. v′ = −1.8 m/s
  2. 2. v′ = 16.96 m/s
  3. 3. v = 486.8 m/s
  4. 4. v′2 = 35.8 m/s
  5. 5. Favg = 448 N
  6. 6. Favg = 3520 N

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