Question

Let F be the radial force field. Find the work done by this force along the following two curves, both of which go from A to B (compare your answers!)

Answer 1

To find the work done by the radial force field along the given curves, calculate the line integral of the force field along each curve.

Step-by-step explanation:

In order to find the work done by the radial force field along the given curves, we need to calculate the line integral of the force field along each curve.

First, let's calculate the work done along the cubic path y = (0.25 m^(-2))x^3. We need to parametrize the curve and calculate the dot product of the force field vector with the tangent vector of the curve. Then, we integrate this dot product over the curve to find the work done.

Next, let's calculate the work done along the parabolic path y = (0.5 m^(-1))x^2. Again, we need to parametrize the curve and perform the same steps as before to find the work done.