- #1

Andrew100

- 3

- 0

## Homework Statement

I want to be able to calculate how far a ball has traveled when rolled along a flat surface at each second.

Lets say the values are 2kg for ball, the force is 100N and co-efficient of friction is 0.2.

## Homework Equations

F(n) = -mg

a = f/m

## The Attempt at a Solution

I need to find Normal Force (Fn) which is

F(n) = -mg = -(2 kg) * (-9.8 m/s^2) = 19.6 N

I can now use

a = f/m

a = F - (mu)F(n) / m = 100 - ((0.2)(19.6) = 3.92 N / 2 = 1.96 m/s) = 98.04 m/s

So, after 1 second, ball has traveled 96.08 metres (98.04 - 1.96)

2 seconds = 194.12 (98.04 + (98.04 - 1.96))

Is this correct?