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Question

Physics Question on Random Variables

A force F=(5+3y2)F =\left(5+3 y^2\right) acts on a particle in the yy-direction, where FF is in newton and yy is in meter The work done by the force during a displacement from y=2my=2 m to y=5my=5 m is___JJ

Answer

The correct answer is 132.
F=5+3y2
W=2∫5​(5+3y2)dy
=[5y+33y3​]25​
=132J