1.Easy
A 1800 kg car moving at 16 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 = 1800 kgv1 = 16 m/sm2 = 800 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1300 kg car moving at 19 m/s collides head-on with a 500 kg car moving at 15 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 = 1300 kgv1 = 19 m/sm2 = 500 kgv2 = −15 m/s
v′ = m/s
3.Medium
A 4.5 kg glider moving at 9 m/s makes a perfectly elastic head-on collision with a 5 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 = 4.5 kgm2 = 5 kgv1 = 9 m/sv2 = 0
v′1 = m/s
4.Medium
A 1600 kg car moving at 12 m/s runs into a stationary 800 kg car and the two lock together. How much kinetic energy ΔK is lost in the collision?
m1 = 1600 kgv1 = 12 m/sm2 = 800 kgv2 = 0
ΔK = J
5.Hard
At a crossing a 1800 kg car travelling east at 19 m/s collides with a 1700 kg car travelling north at 19 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
m1 = 1800 kgv1 = 19 m/s (E)m2 = 1700 kgv2 = 19 m/s (N)
θ = °
6.Hard
A 0.55 kg ball hits a wall at 11 m/s and bounces straight back at 11 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.
m = 0.55 kgvin = 11 m/svout = 11 m/sΔt = 20 ms
Favg = N
Answer key
- 1. v′ = 11.08 m/s
- 2. v′ = 9.556 m/s
- 3. v′1 = −0.4737 m/s
- 4. ΔK = 38400 J
- 5. θ = 43.36 °
- 6. Favg = 605 N
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