A 700 kg car moving at 8 m/s collides head-on with a 1600 kg car moving at 12 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 1900 kg car moving at 20 m/s collides head-on with an 800 kg car moving at 6 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 5 kg projectile moving horizontally at 26 m/s explodes into two fragments that move along the same line. The 4 kg fragment continues forwards at 31 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
A 5 kg projectile moving horizontally at 36 m/s explodes into two fragments that move along the same line. The 2 kg fragment continues forwards at 84 m/s. Find the velocity v′2 of the 3 kg fragment (positive in the original direction).
A 15 g bullet is fired horizontally into a 3 kg block hanging from light strings 0.9 m long, and stays in it. The strings swing out to a largest angle of 20° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 0.55 kg ball hits a wall at 26 m/s and bounces straight back at 20 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
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