1.Easy
An 800 kg car moving at 12 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 = 800 kgv1 = 12 m/sm2 = 1500 kgv2 = 0 m/s
v′ = m/s
Momentum & collisions worksheet with answers
2.Easy
A 1100 kg car moving at 8 m/s collides head-on with a 1500 kg car moving at 11 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 = 1100 kgv1 = 8 m/sm2 = 1500 kgv2 = −11 m/s
v′ = m/s
3.Medium
A 10 kg projectile moving horizontally at 11 m/s explodes into two fragments that move along the same line. The 8 kg fragment continues forwards at 18 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).
M = 10 kgu = 11 m/sm1 = 8 kgv′1 = 18 m/sm2 = 2 kg
v′2 = m/s
4.Medium
A 14 kg projectile moving horizontally at 7 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 20 m/s. Find the velocity v′2 of the 11 kg fragment (positive in the original direction).
M = 14 kgu = 7 m/sm1 = 3 kgv′1 = 20 m/sm2 = 11 kg
v′2 = m/s
5.Hard
A 0.45 kg ball hits a wall at 10 m/s and bounces straight back at 13 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
m = 0.45 kgvin = 10 m/svout = 13 m/sΔt = 5 ms
J = N·s
6.Hard
A 0.35 kg ball hits a wall at 29 m/s and bounces straight back at 17 m/s. The contact lasts 20 ms. Find the average force Favg of the wall on the ball.
m = 0.35 kgvin = 29 m/svout = 17 m/sΔt = 20 ms
Favg = N
Answer key
- 1. v′ = 4.174 m/s
- 2. v′ = −2.962 m/s
- 3. v′2 = −17 m/s
- 4. v′2 = 3.455 m/s
- 5. J = 10.35 N·s
- 6. Favg = 805 N
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