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## Homework Statement

A penny is released from the top of a very smooth sphere of radius 1 m. The sphere is fixed to a platform and doesn't move. The penny slides down from rest and leaves the sphere at a certain point. How far will the penny fall away from the point of contact of the sphere and the platform?

## Homework Equations

(1) V = Vo + at

(2) a = (V^2)/9.8

(3) V^2 = Vo^2 + 2a(x - xo)

## The Attempt at a Solution

Vo = 0 m/s

r = 1 m

a = g = 9.8 m/(s^2)

x = ? => The distance the penny fell from the top of the sphere to ground.

I used (1) in order to rearrange into

t = V/g

After doing that, I was thinking that maybe I could use (2) or (3) to rearrange the equation a little more to find the solution, but I'm sure that's not right, and I'm doing too much work. I've attached a pdf of the problem.