A 1100 kg car moving at 12 m/s collides head-on with a 1100 kg car moving at 2 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 0.3 kg ball at rest is kicked. The foot pushes it with an average force of 200 N for 8 ms. Find the speed v of the ball just after the kick.
A 19 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 51 m/s. Find the velocity v′2 of the 17 kg fragment (positive in the original direction).
An 8 g bullet is fired horizontally into a 4 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 14 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
At a crossing a 1600 kg car travelling east at 11 m/s collides with a 2000 kg car travelling north at 20 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
A 15 g bullet is fired horizontally into a 3.5 kg block hanging from light strings 1.7 m long, and stays in it. The strings swing out to a largest angle of 35° from the vertical. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
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