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The displacement of a particle of mass 1...

The displacement of a particle of mass `1kg` on a horizontal smooth surface is a function of time given by `x=1/3t^3`. Find out the work done by the external agent for the first one second.

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To find the work done by the external agent on the particle over the first second, we will follow these steps: ### Step 1: Write the displacement function The displacement of the particle is given by: \[ x = \frac{1}{3} t^3 \] ### Step 2: Differentiate to find velocity To find the velocity, we differentiate the displacement function with respect to time \( t \): ...
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