A precursor of pinball machines involved manually pushing down on a ball suspended atop of a spring in a track that allows the ball only to travel up a ramp as shown in the figure. The unstretched spring has a length of ₁ = 6.1 cm, over the 1.00 m length of the board the track rises by r = 8.42 cm, and the top of the board is circular, with a radius of 21.0 cm. Treat the ball as a particle of mass m = 10 g, (treating it as a sphere would give a small additional term to the kinetic energy) and ignore friction. 15 pts 45° 1.00m Part 1 L₁ cm 1.00m r cm Write the free body diagram for the ball at the top of the loop, and use this to solve for the minimum speed required by the ball at this point for the ball to remain in circular motion at the top of its arc. Umin = 1.43 m/s × 0% Part 2 Can the normal force due to the walls of the track ever do work on the ball? Explain your answer. (a) Yes, because the ball moves parallel to the walls of the track. The normal force and displacement are parallel. No, because the ball moves parallel to the walls (b) of the track. The normal force and displacement are perpendicular. Feedback for this choice is not available yet. No, because the ball moves parallel to the walls of the track. The normal force and displacement are parallel. Yes, because the ball moves parallel to the walls of the track. The normal (d) force and displacement are perpendicular. ✓ 100% Part 3 If the spring was initially compressed to a length of 4.32 cm prior to its release, and it had the minimum speed to remain in circular motion when it reached the top, find the value of the spring constant, k. k = 101 N/m × 0% A precursor of pinball machines involved manually pushing down on a ball suspended atop of a spring in a track that allows the ball only to travel up a ramp as shown in the figure. The unstretched spring has a length of ₁ = 6.1 cm, over the 1.00 m length of the board the track rises by r = 8.42 cm, and the top of the board is circular, with a radius of 21.0 cm. Treat the ball as a particle of mass m = 10 g, (treating it as a sphere would give a small additional term to the kinetic energy) and ignore friction. 15 pts 45° 1.00m Part 1 L₁ cm 1.00m r cm Write the free body diagram for the ball at the top of the loop, and use this to solve for the minimum speed required by the ball at this point for the ball to remain in circular motion at the top of its arc. Umin = 1.43 m/s × 0% Part 2 Can the normal force due to the walls of the track ever do work on the ball? Explain your answer. (a) Yes, because the ball moves parallel to the walls of the track. The normal force and displacement are parallel. No, because the ball moves parallel to the walls (b) of the track. The normal force and displacement are perpendicular. Feedback for this choice is not available yet. No, because the ball moves parallel to the walls of the track. The normal force and displacement are parallel. Yes, because the ball moves parallel to the walls of the track. The normal (d) force and displacement are perpendicular. ✓ 100% Part 3 If the spring was initially compressed to a length of 4.32 cm prior to its release, and it had the minimum speed to remain in circular motion when it reached the top, find the value of the spring constant, k. k = 101 N/m × 0%