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
1000 kg25 m/s1100 kg10 m/s

A 1000 kg car moving at 25 m/s collides head-on with a 1100 kg car moving at 10 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 = 1000 kgv1 = 25 m/sm2 = 1100 kgv2 = −10 m/s
v′ = m/s
2.Easy
1.5 kg2 m/s1 kg

A 1.5 kg trolley moving at 2 m/s runs into a 1 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.

m1 = 1.5 kgv1 = 2 m/sm2 = 1 kgv′1 = 0.5 m/s
v′2 = m/s
3.Medium
1800 kg19 m/s1800 kg

A 1800 kg car moving at 19 m/s runs into a stationary 1800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 1800 kgv1 = 19 m/sm2 = 1800 kgv2 = 0
ΔK = J
4.Medium
1400 kg18 m/s1700 kg

A 1400 kg car moving at 18 m/s runs into a stationary 1700 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1400 kgv1 = 18 m/sm2 = 1700 kgv2 = 0
ΔK/K = %
5.Hard
29 m/s17 m/s

A 0.55 kg ball hits a wall at 29 m/s and bounces straight back at 17 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.55 kgvin = 29 m/svout = 17 m/sΔt = 40 ms
J = N·s
6.Hard
1500 kg14 m/s2000 kg19 m/sv′ = ?

At a crossing a 1500 kg car travelling east at 14 m/s collides with a 2000 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1500 kgv1 = 14 m/s (E)m2 = 2000 kgv2 = 19 m/s (N)
v′ = m/s

Answer key

  1. 1. v′ = 6.667 m/s
  2. 2. v′2 = 2.25 m/s
  3. 3. ΔK = 162450 J
  4. 4. ΔK/K = 54.84 %
  5. 5. J = 25.3 N·s
  6. 6. v′ = 12.4 m/s

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