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
0.35 kgv = ?

A 0.35 kg ball at rest is kicked. The foot pushes it with an average force of 450 N for 20 ms. Find the speed v of the ball just after the kick.

m = 0.35 kgFavg = 450 NΔt = 20 ms
v = m/s
2.Easy
500 kg7 m/s1400 kg5 m/s

A 500 kg car moving at 7 m/s collides head-on with a 1400 kg car moving at 5 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 = 7 m/sm2 = 1400 kgv2 = −5 m/s
v′ = m/s
3.Medium
5 kg10 m/s4.5 kg

A 5 kg glider moving at 10 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 = 5 kgm2 = 4.5 kgv1 = 10 m/sv2 = 0
v′1 = m/s
4.Medium
800 kg11 m/s700 kg

An 800 kg car moving at 11 m/s runs into a stationary 700 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 800 kgv1 = 11 m/sm2 = 700 kgv2 = 0
ΔK = J
5.Hard
1100 kg15 m/s900 kg15 m/sθ = ?

At a crossing a 1100 kg car travelling east at 15 m/s collides with a 900 kg car travelling north at 15 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1100 kgv1 = 15 m/s (E)m2 = 900 kgv2 = 15 m/s (N)
θ = °
6.Hard
5 kgv = ?12 g15°L = 1 m

A 12 g bullet is fired horizontally into a 5 kg block hanging from light strings 1 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 = 5 kgL = 1 mθ = 15°g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v = 25.71 m/s
  2. 2. v′ = −1.842 m/s
  3. 3. v′1 = 0.5263 m/s
  4. 4. ΔK = 22587 J
  5. 5. θ = 39.29 °
  6. 6. v = 341.5 m/s

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