The dependence of the potential energy of a body of mass m on its position is expressed

The dependence of the potential energy of a body of mass m on its position is expressed by the formula Wп = 3X². Calculate the force acting on the body in the position x = 2m.

In general: Fx = -dW / dx, where Fx is the projection of the force on the x-axis, dW / dx is a partial derivative. Then in this problem we have: Fx = – (3x ^ 2) ‘= – 6x The sign “-” in this expression means that the force is directed in the opposite direction of increasing energy. | F | = 6 * 2 = 12 n