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A particle of mass m at rest is acted up...

A particle of mass m at rest is acted upon by a constant force F for a time t. Its kinetic energy after an interval t is

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The correct Answer is:
2
`k=(1)/(2) mv_(x)^(2)`
`3k=(1)/(2)m(v_(x)^(2)+v _(y)^(2))`
`v_(x)^(2)+v_(y)^(2)=3v_(x)^(2)`
`2v_(x)^(@)=vy^(2)impliesv_(y)=sqrt(2v_(x))`
`V_(y)=V_(y)+a_(y)t`
`sqrt(2v_x)=0+gtimpliest=(sqrt(2v_x))/(g)`
`(sqrt(2v_x))/(g)=(n)/(g)sqrt((1/2mv_(x)^(2))/(m)`
`2v^(2)+(n^2v_(x)^(2))/(2)impliesn=2`
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