Question

A body of mass 2 kg moving up has potential energy 400 J and kinetic
energy 580 J at a point p in its path. The maximum height reached by the
body is (g =10 ms.)
1) 49 m
2) 98 m
3) 196 m
4) 392 m

the answer is not 20m​

Answer 1

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Hey Mate!!

When a body is moving up, its P.E. at that point p should be equal to its total energy at p.

WKT, P.E. = mgh

=> Total energy = mgh

=> 400 + 580 = 2 × 10 × h

=> 980 = 20h

=> h = 980 ÷ 20

=> h = 49 m

Thus, your option is (1) 49 m.