**Homework 13.4 (page 10 of 10)**The following is a quotation from an article in The American Mathematical Monthly, titled "Curvature in the Eighties" by Robert Osserman (October 1990, page 731):"Curvature also plays a key role in physics. The magnitude of a force required to move an object at constant speed along a curved path is, according to Newton's laws, a constant multiple of the curvature of the trajectories."Use \(|\mathbf{F}| = m|a|\), \(|\mathbf{F}| = m|a|\), and the decomposition of acceleration into tangential and normal components to choose the answer choice below that correctly expresses the above statement as a mathematical equation.**Select one:**a. \(|\mathbf{F}| = 2m^2v\kappa\)b. \(|\mathbf{F}| = \frac{1}{2}mv^2\kappa\)c. \(|\mathbf{F}| = \frac{1}{2}mv\kappa\)d. \(|\mathbf{F}| = mv^2\kappa\)e. \(|\mathbf{F}| = m^2v^2\kappa\)

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