In an experiment, one of the forces exerted on a proton is F⃗ =−αx2i^, where α=12N/m2. What is the potential-energy function for F⃗ ? Let U=0 when x=0. Express your answer in terms of α and x.

Answer

Explanation:

given

where

now we know

..................(i)

where dx is infinitesimal distance

for x = a and b = 0

after integration we get

we know work done by conservative force will be equals to negative of potential energy

so we get

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