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Q.

A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:

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An Intiative by Sri Chaitanya

a

S2,3gs2

b

S4,3gS2

c

S4,3gS2

d

S4,3gS2

answer is A.

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Detailed Solution

Conserving energy,
K+U=mgs⇒3U+U=mgs⇒4mgh=mgs⇒h=S/4 ∴K=3mgS4 ⇒12mv2=34mgs⇒v=3gs2

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