1.Easy
A 1300 kg car moving at 22 m/s runs into a stationary 1500 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
m1 = 1300 kgv1 = 22 m/sm2 = 1500 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 500 kg car moving at 5 m/s collides head-on with a 900 kg car moving at 13 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 = 500 kgv1 = 5 m/sm2 = 900 kgv2 = −13 m/s
v′ = m/s
3.Medium
A 4 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′2 of the second glider after the collision.
m1 = 4 kgm2 = 2 kgv1 = 12 m/sv2 = 0
v′2 = m/s
4.Medium
An 11 kg projectile moving horizontally at 20 m/s explodes into two fragments that move along the same line. The 9 kg fragment continues forwards at 27 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).
M = 11 kgu = 20 m/sm1 = 9 kgv′1 = 27 m/sm2 = 2 kg
v′2 = m/s
5.Hard
At a crossing a 1900 kg car travelling east at 25 m/s collides with a 1500 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 = 25 m/s (E)m2 = 1500 kgv2 = 18 m/s (N)
θ = °
6.Hard
A 0.2 kg ball hits a wall at 16 m/s and bounces straight back at 18 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.2 kgvin = 16 m/svout = 18 m/sΔt = 50 ms
J = N·s
Answer key
- 1. v′ = 10.21 m/s
- 2. v′ = −6.571 m/s
- 3. v′2 = 16 m/s
- 4. v′2 = −11.5 m/s
- 5. θ = 29.61 °
- 6. J = 6.8 N·s
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