A go cart of mass m with an electric motor encounters a incline at angle O to th

Question

A go cart of mass m with an electric motor encounters a incline at angle O to the horizontal with initial speed v(i) (assume there is no energy loss due to friction in the bearings or due to air drag) a) find the expression for how much work must be done by the motor for it to come to a rest at a height of h. b) what is the expression for the minimum height the car will climb if the motor is not being used. c) what is the height to which it climbs if v(i)=5.5 m/s m=200kg and the work done by the motor is 550 J?

Explanation / Answer

a) by conserving energy,

work by motor + 0.5mvi2 = mgh

W = mgh - 0.5mvi2

b) for W = 0,

h = vi2/2g

c) h = (550 + 0.5 x 200 x 5.5 x 5.5)/(200 x 9.8) = 1.824 m

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