The potential energy (in joules) function of a particle in a region of space is given as : U = (2 x 2 x^2 x 2 + 3 y 3 y^3 y 3 + 2z) Here x, y and z are in metres. Find the magnitude of x component of force (in newton) acting on the particle at point P (1m, 2m, 3m).
Physics · Work , Power and Energy · conservative force and potential energy
JEE Mains

Question

The potential energy (in joules) function of a particle in a region of space is given as : U = (2 x 2 x^2 x 2 + 3 y 3 y^3 y 3 + 2z) Here x, y and z are in metres. Find the magnitude of x component of force (in newton) acting on the particle at point P (1m, 2m, 3m).

Physics · Work , Power and Energy · conservative force and potential energy

G1 Physics · Accepted Answer

Fₓ=-∂U/∂x=-4x. At x=1 m, |Fₓ|=4 N. Therefore the answer is 4.