A 600 kg car moving at 13 m/s collides head-on with a 1700 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).
Momentum & collisions worksheet with answers
A 1700 kg car moving at 7 m/s runs into a stationary 2000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 15 kg projectile moving horizontally at 32 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 79 m/s. Find the velocity v′2 of the 14 kg fragment (positive in the original direction).
A 16 kg projectile moving horizontally at 11 m/s explodes into two fragments that move along the same line. The 3 kg fragment continues forwards at 49 m/s. Find the velocity v′2 of the 13 kg fragment (positive in the original direction).
A 5 g bullet is fired horizontally into a 1 kg block hanging from light strings 0.6 m long, and stays in it. The strings swing out to a largest angle of 15° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 15 g bullet is fired horizontally into a 5 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 40° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
Answer key
- 1. v′ = −4.739 m/s
- 2. v′ = 3.216 m/s
- 3. v′2 = 28.64 m/s
- 4. v′2 = 2.231 m/s
- 5. v = 127.3 m/s
- 6. v = 933.9 m/s
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