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
1900 kg10 m/s1100 kg13 m/s

A 1900 kg car moving at 10 m/s collides head-on with a 1100 kg car moving at 13 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 = 1900 kgv1 = 10 m/sm2 = 1100 kgv2 = −13 m/s
v′ = m/s
2.Easy
2000 kg17 m/s1700 kg9 m/s

A 2000 kg car moving at 17 m/s collides head-on with a 1700 kg car moving at 9 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 = 2000 kgv1 = 17 m/sm2 = 1700 kgv2 = −9 m/s
v′ = m/s
3.Medium
500 kg21 m/s1900 kg

A 500 kg car moving at 21 m/s runs into a stationary 1900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?

m1 = 500 kgv1 = 21 m/sm2 = 1900 kgv2 = 0
ΔK = J
4.Medium
2 kgv = ?5 gh = 20 cm

A 5 g bullet is fired horizontally into a 2 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 20 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 2 kgh = 20 cmg = 9.81 m/s²
v = m/s
5.Hard
5 kgv = ?10 g20°L = 1.7 m

A 10 g bullet is fired horizontally into a 5 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 20° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 10 gM = 5 kgL = 1.7 mθ = 20°g = 9.81 m/s²
v = m/s
6.Hard
19 m/s4 m/s

A 0.2 kg ball hits a wall at 19 m/s and bounces straight back at 4 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.

m = 0.2 kgvin = 19 m/svout = 4 m/sΔt = 10 ms
J = N·s

Answer key

  1. 1. v′ = 1.567 m/s
  2. 2. v′ = 5.054 m/s
  3. 3. ΔK = 87281 J
  4. 4. v = 794.3 m/s
  5. 5. v = 710.6 m/s
  6. 6. J = 4.6 N·s

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