1.Easy
A 1500 kg car moving at 19 m/s runs into a stationary 800 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1500 kgv1 = 19 m/sm2 = 800 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1700 kg car moving at 25 m/s collides head-on with an 800 kg car moving at 14 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 = 25 m/sm2 = 800 kgv2 = −14 m/s
v′ = m/s
3.Medium
A 1 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 2.5 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 1 kgm2 = 2.5 kgv1 = 10 m/sv2 = 0
v′2 = m/s
4.Medium
A 500 kg car moving at 12 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 = 12 m/sm2 = 1900 kgv2 = 0
ΔK = J
5.Hard
An 800 kg car runs into a parked 800 kg car. The wrecks lock together and skid 6.5 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 = 800 kgm2 = 800 kgd = 6.5 mμ = 0.5g = 9.81 m/s²
v1 = m/s
6.Hard
A 12 g bullet is fired horizontally into a 1 kg block hanging from light strings 1.5 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 = 12 gM = 1 kgL = 1.5 mθ = 15°g = 9.81 m/s²
v = m/s
Answer key
- 1. v′ = 12.39 m/s
- 2. v′ = 12.52 m/s
- 3. v′2 = 5.714 m/s
- 4. ΔK = 28500 J
- 5. v1 = 15.97 m/s
- 6. v = 84.45 m/s
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