Uniform deceleration. A car brakes suddenly & skids to a stop.
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# Uniform deceleration. A car brakes suddenly & skids to a stop.

[From: ] [author: ] [Date: 11-05-02] [Hit: ]
How far does car travel before stopping?OK, so,a = μg= 0.4 x 9.a = 3.......
Travelling at 18ms^-1 brakes are applied & car skids in a straight line to stop. Coefficient of friction is 0.4. How far does car travel before stopping?
OK, so,
F = μ N but N = mg

so F = μmg
& F = ma
=> μmg = ma

a = μg = 0.4 x 9.81 m s-2
a = 3.924 ms-2

The next bit should be easy, so why can't I do it?

-
g = 9.8 m/s^2

Coefficient of friction is 0.4

9.8 x 0.4 = friction acceleration = 3.92 m/s^2

0.5v^2 = a x distance

0.5 x 18^2 = 162

162/3.92 = 41.32 m
1
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