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a body of mas...

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a body of mass 4kg moving up has potential energy 400 j and kinetic energy 580 J at a point p in its path . The maximum height reached bythe body is

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Solution

Dear student,
Here we use the law of conservation of mechanical energy,
Then, total energy at point p,

$E_{P} = K . E_{P} + P . E_{P}_{E_{P} = 580 + 400 = 980 J} N o w e n e r g y w i l l r e m a i n c o n s \tan t a t a l l p o i n t s o f m o t i o n . W h e n t h e b o d y r e a c h e s m a x . h e i g h t, a l l e n e r g y i s c o n v e r t e d i n t o p o t e n t i a l e n e r g y, P . E i . e ., m g h = E_{P} h = \frac{E_{P}}{m g} = \frac{980}{4 \times 9.8} = 25 m .$
Regards,
Manoj Singh.

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