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
2 kg3.5 m/s4 kg

A 2 kg trolley moving at 3.5 m/s runs into a 4 kg trolley at rest. After the collision the first trolley continues in the same direction at 1 m/s. Find the velocity v′2 of the second trolley.

m1 = 2 kgv1 = 3.5 m/sm2 = 4 kgv′1 = 1 m/s
v′2 = m/s
2.Easy
0.25 kgv = ?

A 0.25 kg ball at rest is kicked. The foot pushes it with an average force of 150 N for 10 ms. Find the speed v of the ball just after the kick.

m = 0.25 kgFavg = 150 NΔt = 10 ms
v = m/s
3.Medium
1300 kg14 m/s600 kg

A 1300 kg car moving at 14 m/s runs into a stationary 600 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1300 kgv1 = 14 m/sm2 = 600 kgv2 = 0
ΔK = J
4.Medium
0.5 kg10 m/s1 kg

A 0.5 kg glider moving at 10 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 = 0.5 kgm2 = 1 kgv1 = 10 m/sv2 = 0
v′1 = m/s
5.Hard
800 kg23 m/s1700 kg8 m/sθ = ?

At a crossing an 800 kg car travelling east at 23 m/s collides with a 1700 kg car travelling north at 8 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 800 kgv1 = 23 m/s (E)m2 = 1700 kgv2 = 8 m/s (N)
θ = °
6.Hard
30 m/s20 m/s

A 0.1 kg ball hits a wall at 30 m/s and bounces straight back at 20 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.1 kgvin = 30 m/svout = 20 m/sΔt = 5 ms
J = N·s

Answer key

  1. 1. v′2 = 1.25 m/s
  2. 2. v = 6 m/s
  3. 3. ΔK = 40232 J
  4. 4. v′1 = −3.333 m/s
  5. 5. θ = 36.47 °
  6. 6. J = 5 N·s

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