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
1900 kg18 m/s600 kg8 m/s

A 1900 kg car moving at 18 m/s collides head-on with a 600 kg car moving at 8 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 = 1900 kgv1 = 18 m/sm2 = 600 kgv2 = −8 m/s
v′ = m/s
2.Easy
2000 kg18 m/s1100 kg8 m/s

A 2000 kg car moving at 18 m/s collides head-on with a 1100 kg car moving at 8 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 = 2000 kgv1 = 18 m/sm2 = 1100 kgv2 = −8 m/s
v′ = m/s
3.Medium
3 kg11 m/s3.5 kg

A 3 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 3.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 3 kgm2 = 3.5 kgv1 = 11 m/sv2 = 0
v′2 = m/s
4.Medium
900 kg9 m/s1000 kg

A 900 kg car moving at 9 m/s runs into a stationary 1000 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 900 kgv1 = 9 m/sm2 = 1000 kgv2 = 0
ΔK = J
5.Hard
26 m/s6 m/s

A 0.5 kg ball hits a wall at 26 m/s and bounces straight back at 6 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.5 kgvin = 26 m/svout = 6 m/sΔt = 20 ms
Favg = N
6.Hard
19 m/s14 m/s

A 0.6 kg ball hits a wall at 19 m/s and bounces straight back at 14 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.6 kgvin = 19 m/svout = 14 m/sΔt = 25 ms
J = N·s

Answer key

  1. 1. v′ = 11.76 m/s
  2. 2. v′ = 8.774 m/s
  3. 3. v′2 = 10.15 m/s
  4. 4. ΔK = 19184 J
  5. 5. Favg = 800 N
  6. 6. J = 19.8 N·s

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