With reference to Figure-1, a ball A of mass m = 1 kg rolls down a frictionless track of radius R in the vertical plane. The ball starts rolling at position-1, the highest point of the track, with zero initial velocity. At the bottom of the track (position-2) the ball hits a massless spring, of spring constant k = 1980 N/m, that is held in place by a wall. In the process, the spring compresses a maximum of 10 cm where the ball comes to a stop. Neglect the rotational motion of the ball and consider it as a particle. (a) Find the radius of the track. (b) What is the change in potential energy of the ball? (C) What is the velocity of the ball at position-2? Specify both magnitude and direction. (d) If the mass m were doubled by how much would the spring compress? Ball 1 R Wall 77000 2 Figure-1​