(a) A particle with mass m moves along a straight line under the action of a force F directed along the same line. Evaluate the derivative in Eq. (37.29) to show that the acceleration a = dv/dt of the particle is given by a = (F/m) (l- v2/c2)3/2.
(b)Evaluate the derivative in Eq. (37.29) to find the expression for the magnitude of the acceleration in terms of F, m, and v/c if the force is perpendicular to the velocity.