A 0.5 kg trolley moving at 3 m/s runs into a 0.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 1 m/s. Find the velocity v′2 of the second trolley.
A 3.5 kg trolley moving at 5.5 m/s runs into a 3.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 2.5 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 9 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 19 kg projectile moving horizontally at 20 m/s explodes into two fragments that move along the same line. The 16 kg fragment continues forwards at 49 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 12 g bullet is fired horizontally into a 1.5 kg block hanging from light strings 0.9 m long, and stays in it. The strings swing out to a largest angle of 25° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.15 kg ball hits a wall at 21 m/s and bounces straight back at 14 m/s. The contact lasts 40 ms. Find the magnitude of the impulse J the wall gives the ball.
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