Please show a diagram of the following example with E=E..be detailed in diagram and show all steps and thinking used to solve this problem.
power man punches the evil chemistro up a street inclined at 20 degrees. the coefficient of friction between the chemistro and the street is .333. If chemistro starts sliding up the hill with an intial velocity of 22.0 m/s (a) what will be the maximum height reaches(vertical distance only). (b) how much heat in joules was generated by the sliding? (c) if power man's fist was in contact with chemistro (90.0 kg) for .300 seconds how much average power did power man deliver.
Here ,
theta = 20 degree
coefficient of friction , u = 0.333
iniital speed , u = 22 m/s
a)
let the maximum height is h
Using conservation of energy
m * 9.8 * h + u *mg * h/sin(theta) = 0.5 * m * v^2
(9.8 + 9.8 * 0.333/sin(20))* h = 0.5 * 22^2
solving for h
h = 12.5 m
the height reached by him is 12.5 m
part B)
heat generated = work done by frictional force
heat generated = 0.333 * mg * h/sin(theta)
heat generated = 0.333 * 90 * 9.8 * 12.5/sin(20)
heat generated = 10734 J
the heat generatted is 10736 J
part C)
power = total work done /time
power = 0.5 * 90 * 22^2/.3
power = 72600 W
the average power is 72600 W
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