Power applied to a particle varies with time as $P = (3 t^{2} - 2 t + 1) w a t t$ , where t is in second. The change in its kinetic energy between time $t = 2 s$ and $t = 4 s$ is

32 J

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46 J

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61 J

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102 J

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Solution

The correct option is D 46 J
Using the definition of work,
$Δ K = W = \int P d t$
Putting the value of P in above equation we get,
$= \int_{2}^{4} (3 t^{2} - 2 t + 1) d t$

$= 46 J$

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Power applied to a particle varies with time as P=(3t2−2t+1)watt, where t is in second. The change in its kinetic energy between time t=2s and t=4s is

The correct option is D 46 JUsing the definition of work, ΔK=W=∫PdtPutting the value of P in above equation we get,=∫42(3t2−2t+1)dt=46J

Power applied to a particle varies with time as $P = (3 t^{2} - 2 t + 1) w a t t$ , where t is in second. The change in its kinetic energy between time $t = 2 s$ and $t = 4 s$ is

The correct option is D 46 J
Using the definition of work,
$Δ K = W = \int P d t$
Putting the value of P in above equation we get,
$= \int_{2}^{4} (3 t^{2} - 2 t + 1) d t$

$= 46 J$