Question

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.

Answer 1

71344 J

Step-by-step explanation:

From the law of conservation of energy,

Mechanical Energy = Kinetic Energy + Potential Energy

M.E = (mv²/2)+ mgh.................... Equation 1

Where M.E = Mechanical Energy, m = mass, v = Velocity, h = height, g = acceleration due to gravity.

Given: m = 52 kg, v = 28 m/s, h = 100 m (half way down the ski jump)

Constant: g = 9.8 m/s²

Substitute these values into equation 1

M.E = (52×28²/2) + (52×100×9.8)

M.E = 20384+50960

M.E = 71344 J