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
0.5 kg8.5 m/s0.5 kg

A 0.5 kg trolley moving at 8.5 m/s runs into a 0.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 0.5 kgv1 = 8.5 m/sm2 = 0.5 kgv′1 = 0.5 m/s
v′2 = m/s
2.Easy
0.4 kgv = ?

A 0.4 kg ball at rest is kicked. The foot pushes it with an average force of 800 N for 12 ms. Find the speed v of the ball just after the kick.

m = 0.4 kgFavg = 800 NΔt = 12 ms
v = m/s
3.Medium
3 kg70 m/s7 kgv′2​ = ?

A 10 kg projectile moving horizontally at 15 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 70 m/s. Find the velocity v′2 of the 7 kg fragment (positive in the original direction).

M = 10 kgu = 15 m/sm1 = 3 kgv′1 = 70 m/sm2 = 7 kg
v′2 = m/s
4.Medium
3.5 kg12 m/s2 kg

A 3.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 2 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 = 3.5 kgm2 = 2 kgv1 = 12 m/sv2 = 0
v′1 = m/s
5.Hard
1900 kg8 m/s1700 kg12 m/sv′ = ?

At a crossing a 1900 kg car travelling east at 8 m/s collides with a 1700 kg car travelling north at 12 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1900 kgv1 = 8 m/s (E)m2 = 1700 kgv2 = 12 m/s (N)
v′ = m/s
6.Hard
1900 kgv1​ = ?1600 kg

A 1900 kg car runs into a parked 1600 kg car. The wrecks lock together and skid 24.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1900 kgm2 = 1600 kgd = 24.5 mμ = 0.75g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′2 = 8 m/s
  2. 2. v = 24 m/s
  3. 3. v′2 = −8.571 m/s
  4. 4. v′1 = 3.273 m/s
  5. 5. v′ = 7.067 m/s
  6. 6. v1 = 34.98 m/s

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