- #1

Patdon10

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- 0

## Homework Statement

On the segment of roller coaster track shown in the figure, a cart of mass 233.7 kg moves from left to right and arrives at x = 0 with a speed of 16.5 m/s. Assuming that dissipation of energy due to friction is small enough to be ignored, where is the turning point of this trajectory?

x = ?

y = ?

## Homework Equations

Ke_i + Pe_i = Ke_f + Pe_f

## The Attempt at a Solution

This problem is really tough, and I really have no idea where to start. I know the turning point is where the derivative of the function is at a max or min. The only point in that happens which looks to be about (17m, 4m).

I don't know how to I would incorporate kinetic energy into this, but I'm pretty sure I have to. Can anyone push me in the right direction?