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
1700 kg10 m/s1400 kg4 m/s

A 1700 kg car moving at 10 m/s collides head-on with a 1400 kg car moving at 4 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 = 1700 kgv1 = 10 m/sm2 = 1400 kgv2 = −4 m/s
v′ = m/s
2.Easy
1100 kg15 m/s1000 kg9 m/s

A 1100 kg car moving at 15 m/s collides head-on with a 1000 kg car moving at 9 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 = 1100 kgv1 = 15 m/sm2 = 1000 kgv2 = −9 m/s
v′ = m/s
3.Medium
1300 kg15 m/s1200 kg

A 1300 kg car moving at 15 m/s runs into a stationary 1200 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1300 kgv1 = 15 m/sm2 = 1200 kgv2 = 0
ΔK = J
4.Medium
4.5 kg11 m/s0.5 kg

A 4.5 kg glider moving at 11 m/s makes a perfectly elastic head-on collision with a 0.5 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 = 4.5 kgm2 = 0.5 kgv1 = 11 m/sv2 = 0
v′1 = m/s
5.Hard
2 kgv = ?10 g40°L = 0.8 m

A 10 g bullet is fired horizontally into a 2 kg block hanging from light strings 0.8 m long, and stays in it. The strings swing out to a largest angle of 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 10 gM = 2 kgL = 0.8 mθ = 40°g = 9.81 m/s²
v = m/s
6.Hard
26 m/s15 m/s

A 0.1 kg ball hits a wall at 26 m/s and bounces straight back at 15 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.

m = 0.1 kgvin = 26 m/svout = 15 m/sΔt = 40 ms
Favg = N

Answer key

  1. 1. v′ = 3.677 m/s
  2. 2. v′ = 3.571 m/s
  3. 3. ΔK = 70200 J
  4. 4. v′1 = 8.8 m/s
  5. 5. v = 385.2 m/s
  6. 6. Favg = 102.5 N

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