A 1700 kg car moving at 14 m/s collides head-on with a 1200 kg car moving at 13 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).
A 6 kg rifle, free to move, fires an 8 g bullet at 500 m/s. Both start at rest. Find the recoil speed V of the rifle.
A 14 kg projectile moving horizontally at 31 m/s explodes into two fragments that move along the same line. The 8 kg fragment continues forwards at 61 m/s. Find the velocity v′2 of the 6 kg fragment (positive in the original direction).
A 7 kg projectile moving horizontally at 19 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 43 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 0.5 kg ball hits a wall at 25 m/s and bounces straight back at 16 m/s. The contact lasts 10 ms. Find the magnitude of the impulse J the wall gives the ball.
A 0.3 kg ball hits a wall at 22 m/s and bounces straight back at 6 m/s. The contact lasts 50 ms. Find the magnitude of the impulse J the wall gives the ball.
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