First slide

Power

Question

If the force acting on a body is inversely proportioned to its speed, then its kinetic energy is

Moderate

A

directly propotional to time.
B

Inversely proportional to time
C

inversely proportional to the square of the time.
D

a constant

Solution

$F α \frac{1}{V} \Rightarrow F V = c o n s \tan t \Rightarrow p o w e r = c o n s \tan t ∴ p o w e r = \frac{w o r k}{t i m e}; substitute in above equation \Rightarrow \frac{w o r k}{t i m e} = c o n s \tan t ∴ w o r k α t i m e w o r k d o n e = c h a n g e i n K E; s u b s t i t u t e i n a b o v e e q u a t i o n ∴ change in K . E . α t i m e \Rightarrow K E i s p r o p o r t i o n a l t o t i m e \Rightarrow K E i s l i n e a r l y r e l a t e d t o t i m e$

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