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
1500 kg15 m/s1200 kg7 m/s

A 1500 kg car moving at 15 m/s collides head-on with a 1200 kg car moving at 7 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 = 1500 kgv1 = 15 m/sm2 = 1200 kgv2 = −7 m/s
v′ = m/s
2.Easy
600 kg6 m/s600 kg15 m/s

A 600 kg car moving at 6 m/s collides head-on with a 600 kg car moving at 15 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 = 600 kgv1 = 6 m/sm2 = 600 kgv2 = −15 m/s
v′ = m/s
3.Medium
4.5 kg11 m/s1 kg

A 4.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 1 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 = 1 kgv1 = 11 m/sv2 = 0
v′1 = m/s
4.Medium
1300 kg23 m/s500 kg

A 1300 kg car moving at 23 m/s runs into a stationary 500 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1300 kgv1 = 23 m/sm2 = 500 kgv2 = 0
ΔK/K = %
5.Hard
10 m/s15 m/s

A 0.45 kg ball hits a wall at 10 m/s and bounces straight back at 15 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.45 kgvin = 10 m/svout = 15 m/sΔt = 25 ms
J = N·s
6.Hard
28 m/s20 m/s

A 0.2 kg ball hits a wall at 28 m/s and bounces straight back at 20 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.

m = 0.2 kgvin = 28 m/svout = 20 m/sΔt = 5 ms
Favg = N

Answer key

  1. 1. v′ = 5.222 m/s
  2. 2. v′ = −4.5 m/s
  3. 3. v′1 = 7 m/s
  4. 4. ΔK/K = 27.78 %
  5. 5. J = 11.25 N·s
  6. 6. Favg = 1920 N

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