A 2 kg trolley moving at 6.5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 5 kg trolley moving at 2 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 0.5 m/s. Find the velocity v′2 of the second trolley.
A 15 g bullet is fired horizontally into a 2 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 15 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 4 kg projectile moving horizontally at 37 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 86 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 0.45 kg ball hits a wall at 25 m/s and bounces straight back at 20 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
A 0.3 kg ball hits a wall at 20 m/s and bounces straight back at 19 m/s. The contact lasts 25 ms. Find the average force Favg of the wall on the ball.
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