A 4.5 kg trolley moving at 7.5 m/s runs into a 1.5 kg trolley at rest. After the collision the first trolley continues in the same direction at 4 m/s. Find the velocity v′2 of the second trolley.
An 800 kg car moving at 18 m/s runs into a stationary 600 kg car. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 5 g bullet is fired horizontally into a 3 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 13 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
An 11 kg projectile moving horizontally at 23 m/s explodes into two fragments that move along the same line. The 10 kg fragment continues forwards at 32 m/s. Find the velocity v′2 of the 1 kg fragment (positive in the original direction).
At a crossing a 900 kg car travelling east at 22 m/s collides with a 2000 kg car travelling north at 25 m/s. The cars lock together. Find the speed v′ of the wreck just after the collision.
At a crossing an 800 kg car travelling east at 21 m/s collides with a 1000 kg car travelling north at 8 m/s. The cars lock together. Find the direction θ of the wreck just after the collision, measured north of east.
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