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
0.3 kgv = ?

A 0.3 kg ball at rest is kicked. The foot pushes it with an average force of 650 N for 8 ms. Find the speed v of the ball just after the kick.

m = 0.3 kgFavg = 650 NΔt = 8 ms
v = m/s
2.Easy
0.3 kgv = ?

A 0.3 kg ball at rest is kicked. The foot pushes it with an average force of 800 N for 10 ms. Find the speed v of the ball just after the kick.

m = 0.3 kgFavg = 800 NΔt = 10 ms
v = m/s
3.Medium
18 kg63 m/s2 kgv′2​ = ?

A 20 kg projectile moving horizontally at 24 m/s explodes into two fragments that move along the same line. The 18 kg fragment continues forwards at 63 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).

M = 20 kgu = 24 m/sm1 = 18 kgv′1 = 63 m/sm2 = 2 kg
v′2 = m/s
4.Medium
2.5 kgv = ?5 gh = 4 cm

A 5 g bullet is fired horizontally into a 2.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 4 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.

m = 5 gM = 2.5 kgh = 4 cmg = 9.81 m/s²
v = m/s
5.Hard
10 m/s4 m/s

A 0.25 kg ball hits a wall at 10 m/s and bounces straight back at 4 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.

m = 0.25 kgvin = 10 m/svout = 4 m/sΔt = 25 ms
Favg = N
6.Hard
1200 kgv1​ = ?1400 kg

A 1200 kg car runs into a parked 1400 kg car. The wrecks lock together and skid 11.5 m before stopping. The coefficient of kinetic friction between tyres and road is 0.75. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1200 kgm2 = 1400 kgd = 11.5 mμ = 0.75g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v = 17.33 m/s
  2. 2. v = 26.67 m/s
  3. 3. v′2 = −327 m/s
  4. 4. v = 443.8 m/s
  5. 5. Favg = 140 N
  6. 6. v1 = 28.19 m/s

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