A particle of mass m = 10 kg moves in space under the action of a conservative force. Its potential energy is given by
PE = 2xyz + 3z2 + 4yx + 16
where PE is in Joules and x, y, and z are in meters. Calculate the x-, y-, and z-components of the force on the particle when it is at the position x = 18 m, y = 13 m, and z = 19 m.
F= - d/dx (PE)
The Attempt at a Solution
So far I took the partial derivatives in terms of x, y, and z but I don't know how to incorporate the object's weight. I feel like the weight is important since they mentioned it.