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Question Number 59104 by Forkum Michael Choungong last updated on 04/May/19

i w a n t o f a s k i n m e c h a n i c s i s t h i s

p o s s i b l e ? ?

p o w e r = \frac{w o r k d o n e}{t i m e t a k e n}

i f p o w e r = p_{w}, W o r k = W_{d}, a n d t i m e = t

\Rightarrow p_{w} = \frac{W_{d}}{t}

b u t W_{d} = f o r c e (f) \times d i s t a n c e (s)

W_{d} = f s

\Rightarrow p_{w} = \frac{f \times s}{t}

p_{w} = f \times \frac{s}{t} (d i s t a n c e / t i m e)

p_{w} = f \times v e l o c i t y

b u t f = m a

p_{w} = m \times a \times v

r e a r r a n g i n g

\Rightarrow p_{w} = m \times v \times a

p_{w} = m o m e n t u m (P) \times A c c e l e r a t i o n (a)

P o w e r = m o m e n t u m \times A c c e l e r a t i o n .

t h e m o m e n t u m o f a s y s t e m i s d i r e c t l y

p r o p o t i o n a l t o t h e p o w e r o f t h a t s y s t e m

b u t w i l l h a v e a m i n i m u m m o m e n t u m

w h e n a c c e l e r a t i n g .

w h a t d o y o u t h i n k ?