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
600 kg18 m/s900 kg8 m/s

A 600 kg car moving at 18 m/s collides head-on with a 900 kg car moving at 8 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 = 600 kgv1 = 18 m/sm2 = 900 kgv2 = −8 m/s
v′ = m/s
2.Easy
4.5 kg250 m/sV = ?

A 4.5 kg rifle, free to move, fires a 15 g bullet at 250 m/s. Both start at rest. Find the recoil speed V of the rifle.

M = 4.5 kgm = 15 gv = 250 m/s
V = m/s
3.Medium
1900 kg11 m/s1600 kg

A 1900 kg car moving at 11 m/s runs into a stationary 1600 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1900 kgv1 = 11 m/sm2 = 1600 kgv2 = 0
ΔK/K = %
4.Medium
3.5 kgv = ?20 gh = 19 cm

A 20 g bullet is fired horizontally into a 3.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 19 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 20 gM = 3.5 kgh = 19 cmg = 9.81 m/s²
v = m/s
5.Hard
23 m/s11 m/s

A 0.45 kg ball hits a wall at 23 m/s and bounces straight back at 11 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.45 kgvin = 23 m/svout = 11 m/sΔt = 25 ms
J = N·s
6.Hard
23 m/s6 m/s

A 0.1 kg ball hits a wall at 23 m/s and bounces straight back at 6 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.1 kgvin = 23 m/svout = 6 m/sΔt = 40 ms
J = N·s

Answer key

  1. 1. v′ = 2.4 m/s
  2. 2. V = 0.8333 m/s
  3. 3. ΔK/K = 45.71 %
  4. 4. v = 339.8 m/s
  5. 5. J = 15.3 N·s
  6. 6. J = 2.9 N·s

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