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19 Nov 2019
A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to a force given by the expression F(x) = - kx. It is released from x = 0 to the right along the positive x direction with initial kinetic energy T0 = 1/2 KA2, k and A are positive constants. Find (a) the potential energy function V(x) for this force: (b) the kinetic energy, and (c) the total energy of the particle as a function of its position, (d) Find the turning points of the motion.
A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to a force given by the expression F(x) = - kx. It is released from x = 0 to the right along the positive x direction with initial kinetic energy T0 = 1/2 KA2, k and A are positive constants. Find (a) the potential energy function V(x) for this force: (b) the kinetic energy, and (c) the total energy of the particle as a function of its position, (d) Find the turning points of the motion.