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 kg8 m/s4.5 kg

A 3 kg trolley moving at 8 m/s runs into a 4.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 2 m/s. Find the velocity v′2 of the second trolley.

m1 = 3 kgv1 = 8 m/sm2 = 4.5 kgv′1 = 2 m/s
v′2 = m/s
2.Easy
1200 kg21 m/s1400 kg

A 1200 kg car moving at 21 m/s runs into a stationary 1400 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1200 kgv1 = 21 m/sm2 = 1400 kgv2 = 0 m/s
v′ = m/s
3.Medium
4 kg4 m/s2.5 kg

A 4 kg glider moving at 4 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′2 of the second glider after the collision.

m1 = 4 kgm2 = 2.5 kgv1 = 4 m/sv2 = 0
v′2 = m/s
4.Medium
4 kg68 m/s4 kgv′2​ = ?

An 8 kg projectile moving horizontally at 23 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 68 m/s. Find the velocity v′2 of the 4 kg fragment (positive in the original direction).

M = 8 kgu = 23 m/sm1 = 4 kgv′1 = 68 m/sm2 = 4 kg
v′2 = m/s
5.Hard
1400 kgv1​ = ?1600 kg

A 1400 kg car runs into a parked 1600 kg car. The wrecks lock together and skid 5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1400 kgm2 = 1600 kgd = 5 mμ = 0.6g = 9.81 m/s²
v1 = m/s
6.Hard
12 m/s14 m/s

A 0.2 kg ball hits a wall at 12 m/s and bounces straight back at 14 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.2 kgvin = 12 m/svout = 14 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′2 = 4 m/s
  2. 2. v′ = 9.692 m/s
  3. 3. v′2 = 4.923 m/s
  4. 4. v′2 = −22 m/s
  5. 5. v1 = 16.44 m/s
  6. 6. Favg = 520 N

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