- #1

DBirk

- 6

- 0

## Homework Statement

Will a frictionless body placed on the Earth move, and if so, describe it's path and acceleration.

## Homework Equations

I was given no equations, but I believe that coriolis and centripetal forces would act on the body.

## The Attempt at a Solution

I assume that we have to assume an initial velocity of 0 relative to the earth. However, from an external reference frame, the body would appear to be moving as a point on the earth. At the equator this would be approx 1040 mph. However, at latitude angle

*φ*this would decrease as you move towards a pole to cos

*φ.*

The coriolis acceleration, centripetal acceleration, gravity and a force normal to the Earth's surface would act on the body. I assume that gravity and the force normal to the Surface would cancel each other out, but I am not certain. I am having trouble identifying an equation that would capture all of these forces on the body.