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.

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
2 kg5 m/s2.5 kg

A 2 kg trolley moving at 5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 2 m/s. Find the velocity v′2 of the second trolley.

m1 = 2 kgv1 = 5 m/sm2 = 2.5 kgv′1 = 2 m/s
v′2 = m/s
2.Easy
3 kg900 m/sV = ?

A 3 kg rifle, free to move, fires a 12 g bullet at 900 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 3 kgm = 12 gv = 900 m/s
V = m/s
3.Medium
1 kg9 m/s4 kg

A 1 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 4 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 = 1 kgm2 = 4 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
3 kg5 m/s2.5 kg

A 3 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 2.5 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 = 3 kgm2 = 2.5 kgv1 = 5 m/sv2 = 0
v′1 = m/s
5.Hard
10 m/s13 m/s

A 0.55 kg ball hits a wall at 10 m/s and bounces straight back at 13 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.55 kgvin = 10 m/svout = 13 m/sΔt = 5 ms
Favg = N
6.Hard
1100 kg19 m/s800 kg18 m/sv′ = ?

At a crossing a 1100 kg car travelling east at 19 m/s collides with an 800 kg car travelling north at 18 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1100 kgv1 = 19 m/s (E)m2 = 800 kgv2 = 18 m/s (N)
v′ = m/s

Answer key

  1. 1. v′2 = 2.4 m/s
  2. 2. V = 3.6 m/s
  3. 3. v′1 = −5.4 m/s
  4. 4. v′1 = 0.4545 m/s
  5. 5. Favg = 2530 N
  6. 6. v′ = 13.36 m/s

Full step-by-step solutions: practise this topic on examproblems.com.