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## Homework Statement

A rollercoaster has a loop with a radius of 12m. The coaster travels 50m and at point A, enters the loop. The average frictional force on the coaster is 40N. The mass of passenger is 50kg. What is the minimum kinetic energy required at point A to generate a velocity of 27m/s at the top of the loop.

## Homework Equations

## The Attempt at a Solution

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Is my solution correct?

total distance to the top of the loop = (2*pi*r)/2+50= 87.68

total Energy required = Ek+Ep+ Ff

=((1/2)(27.)^2(50))+(9.81*50*24)+ (40*87.6)

=33636.25