First slide

Power

Question

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

Easy

A

t^1/2
B

t^3/4
C

t^3/2
D

t²

Solution

$P = F . v = ma . v$
$= m (\frac{V}{t}) V = m (\frac{s}{t} \times \frac{1}{t}) (\frac{s}{t}) = \frac{{ms}^{2}}{t^{3}}$
For power to be independent of time
$s^{2} \propto t^{3} or s \propto t^{3 / 2}$

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