318. assignment (work, energy, oscillation)

In general: Work of the force is positive if object moves in direction of the force Equation: W=F d cos(theta) Assignment text: 3. A block of mass m is attached to a wall by a massless spring, as shown. The spring is initially neither stretched nor compressed, and there is no friction between the block and the surface. At time t1, a string begins pulling the block to the right with a constant force. The block moves a distance d before turning around and returning to the left; the block reaches the turnaround point at time t2. In this problem, you will analyze this situation by considering two different systems: system SB (the spring and the block) and system B (the block alone). For both systems, consider the interval from t1, to t2. a. Consider the system SB: the spring and the block. i. For each horizontal force acting on system SB, specify whether the work done by the force is positive, negative, or zero. Explain. (Hint: There are two horizontal forces.) The diagram from the previous page is reproduced at right for your convenience. ii. Is deltaKsb, the change in kinetic energy of system SB, positive, negative, or zero? Explain. iii. Is deltaUsb, the change in potential energy of system SB, positive, negative, or zero? Explain. iv. Is Wnet-extsb, the net work done on system SB by external forces, positive, negative. or zero? In either case, explain. b. Consider the system B: the block alone. i. For each horizontal force acting on system B, specify whether the work done by the force is positive, negative, or zero. Explain. ii. Is deltaKb, the change in kinetic energy of system B, positive, negative, or zero? Explain. iii. Is deltaUb, the change in potential energy of system B, positive, negative, or zero? Explain. iv. Is Wnet-extsb, the net work done on system B by external forces, positive, negative, or zero: In either case, explain.