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Work Energy and Power question

2021 · Q139
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Work Energy and Power question

2021 · Q139

NEETPhysicsWork Energy and PowerMCQ+4 / −1
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 -
  1. A
    S4,3gS2{S \over 4},\sqrt {{{3gS} \over 2}}4S​,23gS​​
  2. B
    S4,3gS2{S \over 4},{{3gS} \over 2}4S​,23gS​
  3. C
    S4,3gS2{S \over 4},{{\sqrt {3gS} } \over 2}4S​,23gS​​
  4. D
    S2,3gS2{S \over 2},{{\sqrt {3gS} } \over 2}2S​,23gS​​
View written solutionFree

Correct answer: A

PE + KE = mgs

at given point

KE = 3PE

So, 4PE = mgs

4mgh = mgs

H = s/4

KE =3mgs4=12 = {{3mgs} \over 4} = {1 \over 2}=43mgs​=21​ mV2

V =3gs4=3gs2 = \sqrt {{{3gs} \over 4}} = {{\sqrt {3gs} } \over 2}=43gs​​=23gs​​

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