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
2000 kg13 m/s500 kg6 m/s

A 2000 kg car moving at 13 m/s collides head-on with a 500 kg car moving at 6 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 = 13 m/sm2 = 500 kgv2 = −6 m/s
v′ = m/s
2.Easy
500 kg17 m/s1600 kg11 m/s

A 500 kg car moving at 17 m/s collides head-on with a 1600 kg car moving at 11 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 = 500 kgv1 = 17 m/sm2 = 1600 kgv2 = −11 m/s
v′ = m/s
3.Medium
2.5 kg9 m/s4 kg

A 2.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 4 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 2.5 kgm2 = 4 kgv1 = 9 m/sv2 = 0
v′2 = m/s
4.Medium
600 kg5 m/s1800 kg

A 600 kg car moving at 5 m/s runs into a stationary 1800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 600 kgv1 = 5 m/sm2 = 1800 kgv2 = 0
ΔK = J
5.Hard
1.5 kgv = ?12 g15°L = 0.8 m

A 12 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 0.8 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 12 gM = 1.5 kgL = 0.8 mθ = 15°g = 9.81 m/s²
v = m/s
6.Hard
23 m/s17 m/s

A 0.15 kg ball hits a wall at 23 m/s and bounces straight back at 17 m/s. The contact lasts 20 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.15 kgvin = 23 m/svout = 17 m/sΔt = 20 ms
J = N·s

Answer key

  1. 1. v′ = 9.2 m/s
  2. 2. v′ = −4.333 m/s
  3. 3. v′2 = 6.923 m/s
  4. 4. ΔK = 5625 J
  5. 5. v = 92.15 m/s
  6. 6. J = 6 N·s

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