A force acts on a particle in the -direction, where F is newton and is in meter. The work done by the force during a displacement from y = 2 m to y = 5 m is _______ J. [2023]

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Solution

Q.
A force $F = (5 + 3 y^{2})$ acts on a particle in the $y$ -direction, where F is newton and $y$ is in meter. The work done by the force during a displacement from y = 2 m to y = 5 m is _______ J. [2023]

Ans.
(132)

$F = 5 + 3 y^{2}$

$W = \int_{2}^{5} (5 + 3 y^{2}) d y = {[5 y + \frac{3 y^{3}}{3}]}_{2}^{5} = 132 J$

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