1.Easy
A 700 kg car moving at 10 m/s runs into a stationary 500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 700 kgv1 = 10 m/sm2 = 500 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 2000 kg car moving at 20 m/s collides head-on with a 600 kg car moving at 6 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 = 20 m/sm2 = 600 kgv2 = −6 m/s
v′ = m/s
3.Medium
A 500 kg car moving at 14 m/s runs into a stationary 900 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
m1 = 500 kgv1 = 14 m/sm2 = 900 kgv2 = 0
ΔK = J
4.Medium
A 0.5 kg glider moving at 12 m/s makes a perfectly elastic head-on collision with a 2 kg glider at rest on a frictionless track. Find the velocity v′1 of the first glider after the collision (positive in its original direction).
m1 = 0.5 kgm2 = 2 kgv1 = 12 m/sv2 = 0
v′1 = m/s
5.Hard
A 0.45 kg ball hits a wall at 17 m/s and bounces straight back at 15 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.45 kgvin = 17 m/svout = 15 m/sΔt = 40 ms
J = N·s
6.Hard
A 0.3 kg ball hits a wall at 25 m/s and bounces straight back at 12 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
m = 0.3 kgvin = 25 m/svout = 12 m/sΔt = 40 ms
Favg = N
Answer key
- 1. v′ = 5.833 m/s
- 2. v′ = 14 m/s
- 3. ΔK = 31500 J
- 4. v′1 = −7.2 m/s
- 5. J = 14.4 N·s
- 6. Favg = 277.5 N
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