A body of mass 1kg is projected vertically up with certain velocity. At certain point its P.E. and K.E. are 8J and 90J. Then maximum height reached by it is (g=9.8m/s2).
A
1m
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B
10m
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C
0.1m
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D
100m
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Solution
The correct option is B10m Total mechanical energy at that point will be TE=8J+90J=98J
At topmost point the velocity will become zero so only P.E. will be there.
As the gravitational force is a CONSERVATIVE force so the mechanical energy will remain CONSERVED.
So the at the highest point the PE=TE=98J
If the highest point is at a height h then the PE should be mgh