The potential energy of body of mass `m` given by `U=px+qy+rz`. The magnitude of the acceleration of the body will be

Options

A. `(p+q+r)/m`
B. `(sqrt(p^(2)+q^(2)+r^(2)))/(m)`
C. `sqrt(p^(3)+q^(3)+r^(3))/m`
D. `(sqrt(p^(4)+q^(4)r^(4)))/m`

Answer

B

Explanation

`F=(-dU)/(dr), F_(x)=-p,F_(y)=-q,F_(z)=-r`
`|vec(F)|=sqrt(p^(2)+q^(2)+r^(2))rArr ma=sqrt(p^(2)+q^(2)+r^(2))`