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 kg17 m/s1300 kg5 m/s

A 1900 kg car moving at 17 m/s collides head-on with a 1300 kg car moving at 5 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 = 17 m/sm2 = 1300 kgv2 = −5 m/s
v′ = m/s
2.Easy
1100 kg13 m/s2000 kg8 m/s

A 1100 kg car moving at 13 m/s collides head-on with a 2000 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 = 1100 kgv1 = 13 m/sm2 = 2000 kgv2 = −8 m/s
v′ = m/s
3.Medium
11 kg57 m/s2 kgv′2​ = ?

A 13 kg projectile moving horizontally at 36 m/s explodes into two fragments that move along the same line. The 11 kg fragment continues forwards at 57 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).

M = 13 kgu = 36 m/sm1 = 11 kgv′1 = 57 m/sm2 = 2 kg
v′2 = m/s
4.Medium
4 kg51 m/s1 kgv′2​ = ?

A 5 kg projectile moving horizontally at 38 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 51 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).

M = 5 kgu = 38 m/sm1 = 4 kgv′1 = 51 m/sm2 = 1 kg
v′2 = m/s
5.Hard
1800 kg20 m/s1200 kg19 m/sv′ = ?

At a crossing a 1800 kg car travelling east at 20 m/s collides with a 1200 kg car travelling north at 19 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.

m1 = 1800 kgv1 = 20 m/s (E)m2 = 1200 kgv2 = 19 m/s (N)
v′ = m/s
6.Hard
1000 kgv1​ = ?1300 kg

A 1000 kg car runs into a parked 1300 kg car. The wrecks lock together and skid 7 m before stopping. The coefficient of kinetic friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the speed v1 of the first car just before the collision.

m1 = 1000 kgm2 = 1300 kgd = 7 mμ = 0.5g = 9.81 m/s²
v1 = m/s

Answer key

  1. 1. v′ = 8.063 m/s
  2. 2. v′ = −0.5484 m/s
  3. 3. v′2 = −79.5 m/s
  4. 4. v′2 = −14 m/s
  5. 5. v′ = 14.2 m/s
  6. 6. v1 = 19.06 m/s

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