An object of mass m is being acted upon by a force F.(x) = F,sin (cx),...

 

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An object of mass m is being acted upon by a force F.(x) = F,sin (cx), where F, = 2 N and c %3D 0.5 rad/m are constants %3D (a) Prove that this force is conservative. (b) Find the potential energy function V(x) (c) Make a graph of the potential energy V(x) as a functions of x in the interval [x = -n m, x +n m] (d) Us previous graph to discuss the motion of the particle for the total mechanical energy E = 0.5J. An object of mass m is being acted upon by a force F.(x) = F,sin (cx), where F, = 2 N and c %3D 0.5 rad/m are constants %3D (a) Prove that this force is conservative. (b) Find the potential energy function V(x) (c) Make a graph of the potential energy V(x) as a functions of x in the interval [x = -n m, x +n m] (d) Us previous graph to discuss the motion of the particle for the total mechanical energy E = 0.5J.