1.Easy
A 1000 kg car moving at 6 m/s runs into a stationary 900 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1000 kgv1 = 6 m/sm2 = 900 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
An 800 kg car moving at 8 m/s runs into a stationary 1700 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 800 kgv1 = 8 m/sm2 = 1700 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 2 kg glider moving at 10 m/s makes a perfectly elastic head-on collision with a 1.5 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 = 2 kgm2 = 1.5 kgv1 = 10 m/sv2 = 0
v′1 = m/s
4.Medium
A 7 kg projectile moving horizontally at 25 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 79 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
M = 7 kgu = 25 m/sm1 = 6 kgv′1 = 79 m/sm2 = 1 kg
v′2 = m/s
5.Hard
At a crossing a 1900 kg car travelling east at 22 m/s collides with a 1400 kg car travelling north at 18 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
m1 = 1900 kgv1 = 22 m/s (E)m2 = 1400 kgv2 = 18 m/s (N)
θ = °
6.Hard
A 0.4 kg ball hits a wall at 8 m/s and bounces straight back at 17 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.
m = 0.4 kgvin = 8 m/svout = 17 m/sΔt = 10 ms
Favg = N
Answer key
- 1. v′ = 3.158 m/s
- 2. v′ = 2.56 m/s
- 3. v′1 = 1.429 m/s
- 4. v′2 = −299 m/s
- 5. θ = 31.08 °
- 6. Favg = 1000 N
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