Freddy is skateboarding and he starts from rest at the top of a slope that is inclined at 47.00 with the horizontal. The slope is 989.0m long, and the coefficient of friction is 0.0750. Freddy has a jetpack on his back that is providing 21,276J of work and air resistance is providing 5,587J of work opposite of Freddy's motion. What speed does Freddy have at the bottom of the slope if he has a mass of 20.0Kg?
given :
m = mass = 20 kg
theta = 47 degree
L = length of inclination = 989 m
Work done externally = E = 21276 J
work done by air resistance =E' = 5587 J
Let the speed at the bottom of inclined plane is v.
The force on the body by gravity along the inclined plane =
The friction force on the body up the plane =
Applying work energy principle :
= 121.52m/s [answer]
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