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 kg13 m/s1700 kg11 m/s

A 600 kg car moving at 13 m/s collides head-on with a 1700 kg car moving at 11 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 = 13 m/sm2 = 1700 kgv2 = −11 m/s
v′ = m/s
2.Easy
1700 kg7 m/s2000 kg

A 1700 kg car moving at 7 m/s runs into a stationary 2000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).

m1 = 1700 kgv1 = 7 m/sm2 = 2000 kgv2 = 0 m/s
v′ = m/s
3.Medium
1 kg79 m/s14 kgv′2​ = ?

A 15 kg projectile moving horizontally at 32 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 79 m/s. Find the velocity v′2 of the 14 kg fragment (positive in the original direction).

M = 15 kgu = 32 m/sm1 = 1 kgv′1 = 79 m/sm2 = 14 kg
v′2 = m/s
4.Medium
3 kg49 m/s13 kgv′2​ = ?

A 16 kg projectile moving horizontally at 11 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 49 m/s. Find the velocity v′2 of the 13 kg fragment (positive in the original direction).

M = 16 kgu = 11 m/sm1 = 3 kgv′1 = 49 m/sm2 = 13 kg
v′2 = m/s
5.Hard
1 kgv = ?5 g15°L = 0.6 m

A 5 g bullet is fired horizontally into a 1 kg block hanging from light strings 0.6 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 1 kgL = 0.6 mθ = 15°g = 9.81 m/s²
v = m/s
6.Hard
5 kgv = ?15 g40°L = 1.7 m

A 15 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 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 15 gM = 5 kgL = 1.7 mθ = 40°g = 9.81 m/s²
v = m/s

Answer key

  1. 1. v′ = −4.739 m/s
  2. 2. v′ = 3.216 m/s
  3. 3. v′2 = 28.64 m/s
  4. 4. v′2 = 2.231 m/s
  5. 5. v = 127.3 m/s
  6. 6. v = 933.9 m/s

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