Worksheet - SHM Problems 1. A 0.980kg block slides on a frictionless horizontal surface with a speed of 1.32m/s. The block encounters an uncompressed spring with a force constant of 245 N/m. How far is the spring compressed before the block comes to rest? (0.0835m) 2. The graph shows the variation with displacement accelerating in m/52 x of the acceleration of a body of mass 0. 150 kg. I alm s a. Explain how it may be deduced that the body executes SHM. b. Use the graph to determine the period of oscillations. (1.26s) C. Determine the maximum speed of the body during the oscillations. (0.3m/s) 0.5- d. Determine the maximum net force exerted on the object. (0.225N) x/cm 2 6 e. Determine the total energy of the body. displacement in cm (0.0067J) -10 -1.5- 3. A 0.321 kg mass is attached to a spring with a force constant of 13.3N/m. If the mass is displaced 0.256m from equilibrium and release, a. What is its speed at the equilibrium position? (1.65m/s) b. What is its speed 0.128m from equilibrium? (1.43m/s) 4. You stretch a spring a distance of 12.0cm from its rest length and release it. A 125g mass completes exactly 20.0cycles in 15.5s. Find: a. Period (0.775s) b. Force constant (8.2N/m) c. Total energy (5.9x10-2J) d. Maximum speed of mass (0.972m/s) e. Speed of mass 10.0cm from eq (0.534m/s)