Question 114: Work, Energy and Power & Circular Motion

Question

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :

Accepted Answer

P = constant
$${1 \over 2}$$mv
2
= Pt
$$\Rightarrow$$ v $$\propto$$ $$\sqrt t $$
$${{dx} \over {dt}} = C\sqrt t $$ [C = constant]
by integration.
$$x = C{{{t^{{1 \over 2} + 1}}} \over {{1 \over 2} + 1}}$$
$$x \propto {t^{3/2}}$$

Answer

$${t^{{3 \over 2}}}$$

Answer

$${t^{{1 \over 2}}}$$

Answer

$${t^{{1 \over 4}}}$$

Answer

$${t^{{3 \over 4}}}$$

Work, Energy and Power & Circular Motion

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :

Choose the correct answer: