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
3.5 kg6 m/s3.5 kg

A 3.5 kg trolley moving at 6 m/s runs into a 3.5 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 = 3.5 kgv1 = 6 m/sm2 = 3.5 kgv′1 = 1 m/s
v′2 = m/s
2.Easy
1300 kg6 m/s1100 kg10 m/s

A 1300 kg car moving at 6 m/s collides head-on with a 1100 kg car moving at 10 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 = 1300 kgv1 = 6 m/sm2 = 1100 kgv2 = −10 m/s
v′ = m/s
3.Medium
1700 kg20 m/s500 kg

A 1700 kg car moving at 20 m/s runs into a stationary 500 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1700 kgv1 = 20 m/sm2 = 500 kgv2 = 0
ΔK = J
4.Medium
1.5 kg5 m/s4.5 kg

A 1.5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 4.5 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 = 1.5 kgm2 = 4.5 kgv1 = 5 m/sv2 = 0
v′1 = m/s
5.Hard
800 kg21 m/s900 kg16 m/sv′ = ?

At a crossing an 800 kg car travelling east at 21 m/s collides with a 900 kg car travelling north at 16 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 800 kgv1 = 21 m/s (E)m2 = 900 kgv2 = 16 m/s (N)
v′ = m/s
6.Hard
14 m/s4 m/s

A 0.15 kg ball hits a wall at 14 m/s and bounces straight back at 4 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.15 kgvin = 14 m/svout = 4 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′2 = 5 m/s
  2. 2. v′ = −1.333 m/s
  3. 3. ΔK = 77273 J
  4. 4. v′1 = −2.5 m/s
  5. 5. v′ = 13.02 m/s
  6. 6. Favg = 270 N

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