A block is constrained to move along x-axis under a force F=4x2(x≠0). Here, F is in newton and x in meter. Find the work done by this force when the block is displaced from x=4 m to x=2 m .

W=∫42Fdx=∫424x2dx =-41x42 =-412-14 =-1 J

A block is constrained to move along x-axis under a force F=4x2(x≠0). Here, F is in newton and x in meter. Find the work done by this force when the block is displaced from x=4 m to x=2 m .

W=∫42Fdx=∫424x2dx =-41x42 =-412-14 =-1 J

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A block is constrained to move along x-axis under a force $F = \frac{4}{x^{2}} (x \neq 0)$ . Here, F is in newton and x in meter. Find the work done by this force when the block is displaced from x=4 m to $x = 2 m$ .

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$W = \int_{4}^{2} F d x = \int_{4}^{2} \frac{4}{x^{2}} d x = - 4 {[\frac{1}{x}]}_{4}^{2} = - 4 [\frac{1}{2} - \frac{1}{4}] = - 1 J$

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A block is constrained to move along x-axis under a force F=4x2(x≠0). Here, F is in newton and x in meter. Find the work done by this force when the block is displaced from x=4 m to x=2 m .

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A block is constrained to move along x-axis under a force $F = \frac{4}{x^{2}} (x \neq 0)$ . Here, F is in newton and x in meter. Find the work done by this force when the block is displaced from x=4 m to $x = 2 m$ .