An 800 kg car moving at 5 m/s collides head-on with a 700 kg car moving at 4 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 1800 kg car moving at 5 m/s runs into a stationary 2000 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 15 g bullet is fired horizontally into a 5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 11 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
A 7 kg projectile moving horizontally at 35 m/s explodes into two fragments that move along the same line. The 2 kg fragment continues forwards at 64 m/s. Find the velocity v′2 of the 5 kg fragment (positive in the original direction).
At a crossing a 1800 kg car travelling east at 11 m/s collides with a 1000 kg car travelling north at 17 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
A 20 g bullet is fired horizontally into a 4 kg block hanging from light strings 1.3 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.
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