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Homework Statement
Consider the frictionless roller coaster shown. (Diagram attached)
If a 12000 kg car starts at rest from Point A, calculate:
a) the total energy of the system
b) the speed of the car at point B
c) the force that must be applied to bring it to a stop at point E
d) the work done to bring it to a stop at point E
Homework Equations
for a): E(total) = mgh
for b): E(total) = mgh + 1/2mv^2 (rearrange to solve for v)
The Attempt at a Solution
The problem I'm having is with parts c) and d): in the book it looks like there is supposed to be a measurement at point E, but there isn't any value given. Do I need this to calculate an answer? (I haven't done anything on "momentum" yet, so I am working with gravitational potential energy, force, work and energy).
Thanks for any assistance
Dan
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