A 3.5 kg trolley moving at 4.5 m/s runs into a 2 kg trolley at rest. After the collision the first trolley continues in the same direction at 2 m/s. Find the velocity v′2 of the second trolley.
A 4 kg trolley moving at 9.5 m/s runs into a 2.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 4.5 m/s. Find the velocity v′2 of the second trolley.
A 10 kg projectile moving horizontally at 39 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 53 m/s. Find the velocity v′2 of the 9 kg fragment (positive in the original direction).
A 17 kg projectile moving horizontally at 29 m/s explodes into two fragments that move along the same line. The 1 kg fragment continues forwards at 60 m/s. Find the velocity v′2 of the 16 kg fragment (positive in the original direction).
A 15 g bullet is fired horizontally into a 3 kg block hanging from light strings 1.1 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 0.45 kg ball hits a wall at 21 m/s and bounces straight back at 8 m/s. The contact lasts 5 ms. Find the magnitude of the impulse J the wall gives the ball.
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