Ex. 3: Consider the below forces, which depend on the position of the particle. Imagine a mass (m) which is subject to these forces. Suppose it is observed that the mass is not moving at x = : 0. 1. F(x) = F + c. x II. F(x) = F sin(cx) a) Compute the velocity as a function of position of the mass. b) Determine the kinetic energy of the mass. c) Find the potential energy of the particle as a function of position d) For the force in part (1), find the amount of time it takes for the mass to traverse a 1m distance. III. F(x) = F ex

Ex. 3: Consider the below forces, which depend on the position of the particle. Imagine a mass (m) which is subject to these forces. Suppose it is observed that the mass is not moving at x = : 0. 1. F(x) = F + c. x II. F(x) = F sin(cx) a) Compute the velocity as a function of position of the mass. b) Determine the kinetic energy of the mass. c) Find the potential energy of the particle as a function of position d) For the force in part (1), find the amount of time it takes for the mass to traverse a 1m distance. III. F(x) = F ex