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
1700 kg24 m/s2000 kg7 m/s

A 1700 kg car moving at 24 m/s collides head-on with a 2000 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 = 1700 kgv1 = 24 m/sm2 = 2000 kgv2 = −7 m/s
v′ = m/s
2.Easy
1400 kg6 m/s1900 kg7 m/s

A 1400 kg car moving at 6 m/s collides head-on with a 1900 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 = 1400 kgv1 = 6 m/sm2 = 1900 kgv2 = −7 m/s
v′ = m/s
3.Medium
4 kgv = ?8 gh = 19 cm

An 8 g bullet is fired horizontally into a 4 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 = 8 gM = 4 kgh = 19 cmg = 9.81 m/s²
v = m/s
4.Medium
1700 kg21 m/s1400 kg

A 1700 kg car moving at 21 m/s runs into a stationary 1400 kg car and the two lock together. What percentage ΔK/K of the original kinetic energy is lost?

m1 = 1700 kgv1 = 21 m/sm2 = 1400 kgv2 = 0
ΔK/K = %
5.Hard
20 m/s20 m/s

A 0.4 kg ball hits a wall at 20 m/s and bounces straight back at 20 m/s. The contact lasts 25 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.4 kgvin = 20 m/svout = 20 m/sΔt = 25 ms
J = N·s
6.Hard
1200 kg16 m/s1200 kg12 m/sθ = ?

At a crossing a 1200 kg car travelling east at 16 m/s collides with a 1200 kg car travelling north at 12 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.

m1 = 1200 kgv1 = 16 m/s (E)m2 = 1200 kgv2 = 12 m/s (N)
θ = °

Answer key

  1. 1. v′ = 7.243 m/s
  2. 2. v′ = −1.485 m/s
  3. 3. v = 967.3 m/s
  4. 4. ΔK/K = 45.16 %
  5. 5. J = 16 N·s
  6. 6. θ = 36.87 °

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