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 kg13 m/s1600 kg7 m/s

A 1100 kg car moving at 13 m/s collides head-on with a 1600 kg car moving at 7 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 = 13 m/sm2 = 1600 kgv2 = −7 m/s
v′ = m/s
2.Easy
1700 kg13 m/s500 kg6 m/s

A 1700 kg car moving at 13 m/s collides head-on with a 500 kg car moving at 6 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 = 1700 kgv1 = 13 m/sm2 = 500 kgv2 = −6 m/s
v′ = m/s
3.Medium
500 kg12 m/s1400 kg

A 500 kg car moving at 12 m/s runs into a stationary 1400 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 500 kgv1 = 12 m/sm2 = 1400 kgv2 = 0
ΔK = J
4.Medium
1.5 kgv = ?5 gh = 16 cm

A 5 g bullet is fired horizontally into a 1.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 16 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 1.5 kgh = 16 cmg = 9.81 m/s²
v = m/s
5.Hard
1600 kgv1​ = ?1200 kg

A 1600 kg car runs into a parked 1200 kg car. The wrecks lock together and skid 8 m before stopping. The coefficient of kinetic friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1600 kgm2 = 1200 kgd = 8 mμ = 0.8g = 9.81 m/s²
v1 = m/s
6.Hard
19 m/s20 m/s

A 0.6 kg ball hits a wall at 19 m/s and bounces straight back at 20 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.

m = 0.6 kgvin = 19 m/svout = 20 m/sΔt = 10 ms
Favg = N

Answer key

  1. 1. v′ = 1.148 m/s
  2. 2. v′ = 8.682 m/s
  3. 3. ΔK = 26526 J
  4. 4. v = 533.3 m/s
  5. 5. v1 = 19.61 m/s
  6. 6. Favg = 2340 N

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