Classical Mechanics

Kinetic Energy

Kinetic energy lost in inelastic collisions

         

An 8×103 kg\SI{8e3}{\kilo\gram} truck traveling at 20 m/s20\text{ m/s} hits a parked car of mass 2×103 kg\SI{2e3}{\kilo\gram} from behind. If the collision is perfectly inelastic, what is the approximate total loss in kinetic energy?

Assume that the road is frictionless and ignore the deformation of the vehicles.

A wooden block of mass 4.8 kg4.8\text{ kg} is at rest on a frictionless floor. A bullet of mass 0.2 kg0.2\text{ kg} is fired at 500 m/s500\text{ m/s} towards the block. If the bullet becomes embedded inside the block, how much kinetic energy is lost?

A 150 kg150\text{ kg} bumper car travels at 12 m/s12\text{ m/s} due east. It hits an identical bumper car traveling due north at 16 m/s.16\text{ m/s}. If the cars lock bumpers and stick together, how much kinetic energy is lost in total?

Two balls of masses 2 kg2\text{ kg} and 3 kg,3\text{ kg}, respectively, move in opposite directions on a frictionless floor. Their respective speeds are 2 m/s2\text{ m/s} and 8 m/s.8\text{ m/s}. If they stick together after a collision, how much kinetic energy is lost in total?

An eagle of mass 18 kg18\text{ kg} is chasing a sparrow of mass 2 kg2\text{ kg} from straight behind with a constant speed of 13 m/s.13\text{ m/s}. The sparrow flies away at a constant speed of 7 m/s.7\text{ m/s}. A few seconds later, the sparrow is swallowed by the eagle. If air resistance is negligible, what is the total loss in kinetic energy?

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