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Question

At a certain point the potential energy and kinetic energy of a body of mass 0.1 kg moving vertically up are 3.6 J and 6.2 J. It rises to a maximum height of :

A
0.1 m
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B
1 m
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C
10 m
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D
100 m
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Solution

The correct option is B 10 m
Given,

P.E=3.6J

K.E=6.2J

g=9.8m/s2

m=0.1kg

Potential energy,

P.E=mgh=3.6J

h=3.60.1×9.8=3.67m

Kinetic energy,

K.E=12mv2=6.2J

v2=6.2×20.1

v2=124

3rd equation of motion,

v2u2=2hg

124u2=9.8×3.67×2

u2=194.56 (initial velocity)

For maximum height, v=0m/s

v2u2=2hmg

hm=194.562×9.8

hm=10m

The correct option is C.

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