Question

A two-dimensional, conservative force is zero on the x– and y-axes, and satisfies the condition (dFx/dy) = (dFy/dx) = (4N/m3

)xy. What is the magnitude of the force at the point x = y = 1m?

Answer 1

A two-dimensional conservative force is zero on the x- and y-axes and satisfies a specific condition. The magnitude of the force at a given point can be calculated using the force equation.

Step-by-step explanation:

A conservative force is a force that can be derived from a potential energy function. To determine whether a force is conservative or not, we can check if its curl is zero. If the given force satisfies the condition (dFx/dy) = (dFy/dx) = (4 N/m³ ) xy, then it is conservative. The magnitude of the force at the point x = y = 1 m can be found by substituting the values into the force equation. So, we have (4 N/m³)(1 m)(1 m) = 4 N/m³.