# Harder Basic Physics Question

1. Jan 24, 2010

### Elo21

1. The problem statement, all variables and given/known data

A Perfectly hemispherical dome with a 10. meter radius is treated with a frictionless coating. A marble and a coin are released from the top of the dome simultaneously. We will assume there is no air friction. The coin will slide, not roll.

2. Questions

a)Will the objects hit the ground at the same time, or if not, which will hit first and why?

b)Show mathematically whether or not the coin will stay in contact with the dome until it reaches the ground. If it does not, what will the coin's vertical displacement be at the instant it loses contact with the dome, and how far from the base of the dome will the coin hit the ground? (be clear and include explanations where necessary)

3. Attempt at the solution

a) This is what I put as an answer-- They will hit the ground at the same time because there is no friction.

Am I right? When there is no fiction objects fall at the same rate?

b) This part is where I am confused. Would I have to use equations using radians? Do I need to use multiple different kinds of equations?

2. Jan 25, 2010