1.

A force is acting on a body moving alonog x-axis in the direction of motion of the body. If this force produces a potential energy `u=Ax^(4),` where `A=1.2Jm^(-4),` then the what is the force acting on the body when the body is at `x=-0.8m`?

Answer» Here, `u=Ax^(4), A=1.2Jm^(-4), F_(x)=?`
`x=-0.8m`
As `F_(x)=-(du)/(dx)=-(d)/(dx)(Ax^(4))`
`:.F_(x)=-A(4x^(3))=-4Ax^(3)`
`=-4xx1.2(-0.8)^(3)=2.46N`


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