A-particle-of-mass-2-10-27-kg-moves-according-to-the-following-y-5cos-pit-3-pi-4-find-the-maximum-kinetic-energy-

Question Number 40499 by Necxx last updated on 23/Jul/18

A p a r t i c l e o f m a s s 2 \times 10^{- 27} k g m o v e s

a c c o r d i n g t o t h e f o l l o w i n g

y = 5 c o s (\frac{π t}{3} + \frac{π}{4})

f i n d t h e m a x i m u m k i n e t i c e n e r g y

Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

\frac{d y}{d t} = 5 . s i n (\frac{Π t}{3} + \frac{Π}{4}) . \frac{Π}{3}

{(\frac{d y}{d t})}_{m a x} = \frac{5 Π}{3}

k . E = \frac{1}{2} . 2 \times 10^{- 27} . {(\frac{5 Π}{3})}^{2}

Commented by Necxx last updated on 23/Jul/18

T h a n k y o u v e r y m u c h s i r .

I f I d e c i d e d t o c o m p u t e t h e f i n a l

a n s w e r d o I n e e d t o c o n v e r t 5 π / 3

t o d e g r e e b e f o r e s o l v i n g o r r u n n i n g

i t s t r a i g h t j u s t l i k e t h i s

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

p u t Π = 3.14