1. A small block of mass m = 2.50 kg slides frictionlessly from rest from the top of a ramp of length L. The angle of the inclination of the ramp is 6= 60.0". After exiting the ramp, the block continues to move frictionlessly up along a vertical circular track of radius R = 3.50 m. (a) What is the minimum speed the block must have at the top of the circular track in order to complete the circular motion? 5.86 m/'s (b) What is the minimum length L of the track that allows the block to complete the circular motion? 10.1 m (c) In the case of part (a), what is the net force F exerted on the block as it passes point C, which is at the same height as the center of the circular track? 77.5 N3. A block of mass m, = 20.0 kg is connected to a block of mass m, =30.0 kg by a massless string that passes over a light, frictionless pulley. The 30.0-kg block is connected to a spring that has negligible mass and a force constant of =250 N/m as shown in the figure. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 20.0-kg block is pulled a distance / = 20.0 cm down the incline of angle 0= 40.0 and released from rest. Find the speed of each block when the spring is again unstretched. 1.24 m/'s