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
1400 kg21 m/s1600 kg11 m/s

A 1400 kg car moving at 21 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 = 1400 kgv1 = 21 m/sm2 = 1600 kgv2 = −11 m/s
v′ = m/s
2.Easy
1700 kg23 m/s1300 kg

A 1700 kg car moving at 23 m/s runs into a stationary 1300 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1700 kgv1 = 23 m/sm2 = 1300 kgv2 = 0 m/s
v′ = m/s
3.Medium
16 kg48 m/s4 kgv′2​ = ?

A 20 kg projectile moving horizontally at 13 m/s explodes into two fragments that move along the same line. The 16 kg fragment continues forwards at 48 m/s. Find the velocity v′2 of the 4 kg fragment (positive in the original direction).

M = 20 kgu = 13 m/sm1 = 16 kgv′1 = 48 m/sm2 = 4 kg
v′2 = m/s
4.Medium
4.5 kg7 m/s5 kg

A 4.5 kg glider moving at 7 m/s makes a perfectly elastic head-on collision with a 5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.

m1 = 4.5 kgm2 = 5 kgv1 = 7 m/sv2 = 0
v′2 = m/s
5.Hard
16 m/s9 m/s

A 0.35 kg ball hits a wall at 16 m/s and bounces straight back at 9 m/s. The contact lasts 50 ms. Find the average force Favg of the wall on the ball.

m = 0.35 kgvin = 16 m/svout = 9 m/sΔt = 50 ms
Favg = N
6.Hard
20 m/s14 m/s

A 0.45 kg ball hits a wall at 20 m/s and bounces straight back at 14 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.

m = 0.45 kgvin = 20 m/svout = 14 m/sΔt = 40 ms
Favg = N

Answer key

  1. 1. v′ = 3.933 m/s
  2. 2. v′ = 13.03 m/s
  3. 3. v′2 = −127 m/s
  4. 4. v′2 = 6.632 m/s
  5. 5. Favg = 175 N
  6. 6. Favg = 382.5 N

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