A 75 kg skydiver dives out of her airplane 3000 m in the air. How much potential energy will she have left 1/4 of the way down?
PE=mgh
75(3000)(.25)
= 5.5 x 10^5
To find the potential energy of the skydiver 1/4 of the way down, you need to take into account the mass of the skydiver, the acceleration due to gravity, and the height. The formula for potential energy is PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Given:
Mass (m) = 75 kg
Height (h) = 3000 m
First, calculate the potential energy at the starting point:
PE = 75 kg x 9.8 m/s^2 x 3000 m
PE = 2205000 J
To find the potential energy 1/4 of the way down, you need to multiply the total potential energy at the starting point by 1/4.
PE at 1/4 of the way down = 1/4 x 2205000 J
PE at 1/4 of the way down = 550500 J
Therefore, the skydiver will have approximately 550500 J of potential energy left 1/4 of the way down.