- #1

Trapezoid

- 10

- 0

## Homework Statement

A particle of mass

*m*is attracted towards a fixed point 0 with a force inversely proportional to its instantaneous distance from 0. If a particle is released from rest at a distance

*L*from 0, how long will it take to reach 0?

**2. The attempt at a solution**

[tex]F = ma = \frac{k}{d}[/tex]

where

*d*is the distance from 0 and

*k*is a proportionality constant. Therefore, [tex]a = \frac{d^2x}{dt^2} = \frac{k}{md}[/tex]

I know that integration is required but I don't see how to use it to find time. Could somebody give me a tip as to how to proceed?

Thanks,

Trapezoid