1.Easy
A 1900 kg car moving at 25 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 = 1900 kgv1 = 25 m/sm2 = 900 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1300 kg car moving at 13 m/s runs into a stationary 1300 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 = 13 m/sm2 = 1300 kgv2 = 0 m/s
v′ = m/s
3.Medium
A 1.5 kg glider moving at 5 m/s makes a perfectly elastic head-on collision with a 1 kg glider at rest on a frictionless track. Find the velocity v′2 of the second glider after the collision.
m1 = 1.5 kgm2 = 1 kgv1 = 5 m/sv2 = 0
v′2 = m/s
4.Medium
A 19 kg projectile moving horizontally at 22 m/s explodes into two fragments that move along the same line. The 5 kg fragment continues forwards at 77 m/s. Find the velocity v′2 of the 14 kg fragment (positive in the original direction).
M = 19 kgu = 22 m/sm1 = 5 kgv′1 = 77 m/sm2 = 14 kg
v′2 = m/s
5.Hard
A 0.25 kg ball hits a wall at 25 m/s and bounces straight back at 17 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.25 kgvin = 25 m/svout = 17 m/sΔt = 50 ms
J = N·s
6.Hard
A 0.55 kg ball hits a wall at 23 m/s and bounces straight back at 7 m/s. The contact lasts 10 ms. Find the average force Favg of the wall on the ball.
m = 0.55 kgvin = 23 m/svout = 7 m/sΔt = 10 ms
Favg = N
Answer key
- 1. v′ = 16.96 m/s
- 2. v′ = 6.5 m/s
- 3. v′2 = 6 m/s
- 4. v′2 = 2.357 m/s
- 5. J = 10.5 N·s
- 6. Favg = 1650 N
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