A particle is subject to the potential
)What is the value of the y component of the force on the particle at the point (x,y)= (2.0,3.0)?
A)24
B)−24
C)14
D)−14
E)28

Question

A particle is subject to the potential 
)What is the value of the y component of the force on the particle at the point (x,y)= (2.0,3.0)?
A)24 
B)−24 
C)14 
D)−14 
E)28

Quizplus · Accepted Answer

The force is given by the negative gradient of the potential, i.e., F = -grad(V). Taking the partial derivative of V with respect to y, we get 14x*cos(y) - 24y*sin(x*y). Plugging in the point (2.0, 3.0), we get 14*2.0*cos(3.0) - 24*3.0*sin(2.0*3.0) = -14. Therefore, the y component of the force is -14.

A Particle Is Subject to the Potential