Kinetic Energy
An \(\SI{8e3}{\kilo\gram}\) truck traveling at \(20\text{ m/s}\) hits a parked car of mass \(\SI{2e3}{\kilo\gram}\) 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 \(150\text{ kg}\) bumper car travels at \(12\text{ m/s}\) due east. It hits an identical bumper car traveling due north at \(16\text{ m/s}.\) If the cars lock bumpers and stick together, how much kinetic energy is lost in total?
Two balls of masses \(2\text{ kg}\) and \(3\text{ kg},\) respectively, move in opposite directions on a frictionless floor. Their respective speeds are \(2\text{ m/s}\) and \(8\text{ m/s}.\) If they stick together after a collision, how much kinetic energy is lost in total?
An eagle of mass \(18\text{ kg}\) is chasing a sparrow of mass \(2\text{ kg}\) from straight behind with a constant speed of \(13\text{ m/s}.\) The sparrow flies away at a constant speed of \(7\text{ m/s}.\) A few seconds later, the sparrow is swallowed by the eagle. If air resistance is negligible, what is the total loss in kinetic energy?