m 1.0 kg AL 2.0 m D B The track show in the figure above is frictionless along the curved path. A to

m 1.0 kg AL 2.0 m D B The track show in the figure above is frictionless along the curved path. A to B, is one quadrant of a circle of radius 2.0m. The horizontal path, from B to C, has a coefficient of kinetic friction of 0.25 and is 3.0 m long. The region underneath the spring, C to D. is frictionless. The block, mass 1.0 kg, is released from rest at point A. After it slides down the track, it compresses the spring 0.20m. Determine the stiffness constant k for the spring Problem 2) You tie a small ball of mass 0.5 kg to a string of length 0.75 m and whirl it in a vertical circle (radius of 0

m 1.0 kg AL 2.0 m D B The track show in the figure above is frictionless along the curved path. A to B, is one quadrant of a circle of radius 2.0m. The horizontal path, from B to C, has a coefficient of kinetic friction of 0.25 and is 3.0 m long. The region underneath the spring, C to D. is frictionless. The block, mass 1.0 kg, is released from rest at point A. After it slides down the track, it compresses the spring 0.20m. Determine the stiffness constant k for the spring Problem 2) You tie a small ball of mass 0.5 kg to a string of length 0.75 m and whirl it in a vertical circle (radius of 0.75 m). You whirl the ball at the slowest speed, the speed that will just barely keep the ball moving in a circular motion, at the top of the circular path (this will occur when the tension in the string just drops to zero at the top.) al 15 points] Draw a free body diagram showing all of the forces acting on the ball when the ball is at its highest point. b) 5 points) Calculate the speed of the ball when it is at its highest point. c) [5 points) Apply conservation of mechanical energy to the ball when it moves from its slowest speed at the top of the circle to the speed it is traveling when it is at the very bottom of the circle. Calculate this speed di 15 points) Draw a free body diagram showing all of the forces acting on the ball when the ball is at the bottom of the circle. e) 5 points) Apply Newton’s 2nd Law to the ball at the bottom of the circle. What is the tension in the string? The figure below show’s us the situation we will be investigating in this problem. The mass of the block on the right is 5.00kg, and the block on the left is twice that mass (or 10.0 kg). The force pulling the block on the left has a magnitude of F = 80.0 N and is acting at an angle of 30 degrees above the horizontal. Assume the string and the pulley are massless and that the surface of the block is resting on is friction-free. 30 2M M a) [5 points] Draw a free body diagram showing all of the forces acting on the block on the left (the 10.0 kg block) b) (5 points) Draw a free body diagram showing all of the forces acting on the block on the right (5.00 kg block) c) 15 points) Apply Newton’s 2nd Law to both of these objects d) 15 points) What is the acceleration of the blocks? el 15 points is the system accelerating to the left or to the right? How do you know?