The Pine Mountain Ski Jump in Michigan is an artificial ski jump and is one of the highest in the world. It is approximately 200 meters high. Calculate the mechanical energy of a 52-kg jumper if halfway down the ski jump, the jumper has both potential and kinetic energy. At this point, the jumper's speed is 28 m/s.

One hazard of space travel is debris left by previous missions. there are several thousand masses large enough to detect by radar orbiting the earth, but there are far greater numbers of very small masses such as flakes of paint. calculate the force exerted by a 0.110 mg chip of paint that strikes a space shuttle window at a relative speed of 5.00 ✕ 103 m/s and sticks, given the collision lasts 6.00 ✕ 10-8 s. such a collision chipped the window of the ill-fated challenger in june 1983, causing $50,000 of damage.