1.

Power supplied to a particle of mass 2 kg varies withtime as P =(3t^2)/2W,where t is in seconds. If velocity of particle at t=0 is zero, then the velocity of particle at t=2 s will be

Answer»

1 m `s^(-1)`
4 m `s^(-1)`
`2 m s^(-1)`
`2sqrt2 m s^(-1)`

SOLUTION :From work ENERGY theorem , `Delta` K.E.=`W_"net"`
`therefore K_f-K_i = INT P DT`
`rArr 1/2 mv^2-0 = int_0^2 (3/2t^2) dt rArr1/2(2) v^2=3/2 [t^3/3]_0^2 =4`
`therefore` Velocity of the particle at t=2 s will be , v=2 m `s^(-1)`


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