Q.3) (5 Marks) An object of mass m is being acted upon by a force F(x)...

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Q.3) (5 Marks) An object of mass m is being acted upon by a force F(x) = a – 2bx , where a and b are constants. %3D (a) Prove that this force is conservative. (b) Find the potential energy function V (x) (c) Make graphs of the force and the potential energy as functions of x. (d) Discuss the motion of the particle for different values of total energy. Q.3) (5 Marks) An object of mass m is being acted upon by a force F(x) = a – 2bx , where a and b are constants. %3D (a) Prove that this force is conservative. (b) Find the potential energy function V (x) (c) Make graphs of the force and the potential energy as functions of x. (d) Discuss the motion of the particle for different values of total energy.