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
1500 kg18 m/s1100 kg2 m/s

A 1500 kg car moving at 18 m/s collides head-on with a 1100 kg car moving at 2 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 = 1500 kgv1 = 18 m/sm2 = 1100 kgv2 = −2 m/s
v′ = m/s
2.Easy
2000 kg20 m/s1700 kg

A 2000 kg car moving at 20 m/s runs into a stationary 1700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 2000 kgv1 = 20 m/sm2 = 1700 kgv2 = 0 m/s
v′ = m/s
3.Medium
7 kg47 m/s1 kgv′2​ = ?

An 8 kg projectile moving horizontally at 5 m/s explodes into two fragments that move along the same line. The 7 kg fragment continues forwards at 47 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).

M = 8 kgu = 5 m/sm1 = 7 kgv′1 = 47 m/sm2 = 1 kg
v′2 = m/s
4.Medium
1.5 kg10 m/s2 kg

A 1.5 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 1.5 kgm2 = 2 kgv1 = 10 m/sv2 = 0
v′2 = m/s
5.Hard
1600 kgv1​ = ?1400 kg

A 1600 kg car runs into a parked 1400 kg car. The wrecks lock together and skid 15 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1600 kgm2 = 1400 kgd = 15 mμ = 0.5g = 9.81 m/s²
v1 = m/s
6.Hard
21 m/s13 m/s

A 0.45 kg ball hits a wall at 21 m/s and bounces straight back at 13 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.45 kgvin = 21 m/svout = 13 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′ = 9.538 m/s
  2. 2. v′ = 10.81 m/s
  3. 3. v′2 = −289 m/s
  4. 4. v′2 = 8.571 m/s
  5. 5. v1 = 22.74 m/s
  6. 6. Favg = 1530 N

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