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## Homework Statement

A car of mass 1000kg has just reached the top of a circular bridge of radius 6.0m (See the figure provided). Calculate where the car will reach the ground level if the car is traveling at

a) 5.0 m s-1

b) 7.67 m s-1

c) 20.0 m s-1

at the top of the curve

Image for first question:

http://img149.imageshack.us/img149/5581/1001rm5.jpg [Broken]

At what minimum speed should the Earth spin to enable you to float away from the Earth's surface at the equator?

## Homework Equations

[tex]

\begin{array}{l}

W = mg \\

a = \frac{{v^2 }}{r} = \frac{{4\pi ^2 r}}{{T^2 }} = \frac{{2\pi v}}{T} \\

g = \frac{F}{m} = \frac{{GM}}{{r^2 }} \\

F = ma \\

F = \frac{{GMm}}{{r^2 }} \\

\end{array}

[/tex]

## The Attempt at a Solution

I have no idea on where to start with these problems, so all help is greatly appreciated, many thanks in advance

unique_pavadrin

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