Answer: a) 196000 Joules
b) 147000 Joules
Explanation:
a. Potential energy is the energy possessed by an object by virtue of its position.
[tex]P.E=m\times g\times h[/tex]
m= mass of object = 50.0 kg
g = acceleration due to gravity = [tex]9.8ms^{-2} [/tex]
h = height of an object = 400 m
Putting in the values we get:
[tex] P.E=50kg\times 9.8ms^{-2}\times 400m=196000kgm^2s^{-2}=196000Joules[/tex] [tex](1kgm^2s^{-2}=1Joule )[/tex]
Thus the potential energy at maximum height is 196000Joules.
b. [tex] P.E=50kg\times 9.8ms^{-2}\times 100m=49000kgm^2s^{-2}=49000Joules[/tex] [tex](1kgm^2s^{-2}=1Joule )[/tex]
Thus loss in P.E = (196000Joules-49000Joules) = 147000 Joules