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
1100 kg11 m/s1100 kg13 m/s

A 1100 kg car moving at 11 m/s collides head-on with a 1100 kg car moving at 13 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 = 11 m/sm2 = 1100 kgv2 = −13 m/s
v′ = m/s
2.Easy
0.05 kgv = ?

A 0.05 kg ball at rest is kicked. The foot pushes it with an average force of 650 N for 2 ms. Find the speed v of the ball just after the kick.

m = 0.05 kgFavg = 650 NΔt = 2 ms
v = m/s
3.Medium
3.5 kg9 m/s2.5 kg

A 3.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 2.5 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 = 3.5 kgm2 = 2.5 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
1 kg50 m/s17 kgv′2​ = ?

An 18 kg projectile moving horizontally at 12 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 50 m/s. Find the velocity v′2 of the 17 kg fragment (positive in the original direction).

M = 18 kgu = 12 m/sm1 = 1 kgv′1 = 50 m/sm2 = 17 kg
v′2 = m/s
5.Hard
27 m/s20 m/s

A 0.6 kg ball hits a wall at 27 m/s and bounces straight back at 20 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 27 m/svout = 20 m/sΔt = 20 ms
Favg = N
6.Hard
20 m/s19 m/s

A 0.55 kg ball hits a wall at 20 m/s and bounces straight back at 19 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.55 kgvin = 20 m/svout = 19 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′ = −1 m/s
  2. 2. v = 26 m/s
  3. 3. v′1 = 1.5 m/s
  4. 4. v′2 = 9.765 m/s
  5. 5. Favg = 1410 N
  6. 6. Favg = 2145 N

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