[CUSTOM SOLUTION] Hook’s Law

Physics II HW 1 SHM Name___________________________1. A 100 g object connected to a spring (k= 40 N/m) oscillates on a horizontal frictionless surface with an amplitude of 4.00 cm. Find the period and the total energy of the system.2. What is the period of a pendulum with a length of 2 meters on Earth? On the Moon?3. A 5 kg mass is attached to a spring that is hanging vertically. The spring is stretched 0.25 m from its equilibrium position. What is the spring constant?4. A spring of constant k = 100 N/m hangs at its natural length from a fixed stand. A mass of 3 kg is hung on the end of the spring, and slowly let down until the spring and mass hang at their new equilibrium position.x(a) Find the value of the quantity x in the figure above.The spring is now pulled down an additional distance x and released from rest.(b) What is the potential energy in the spring at this distance?(c) What is the speed of the mass as it passes the equilibrium position?(d) How high above the point of release will the mass rise?(e) What is the period of oscillation for the mass?5. Calculate the length of a pendulum on earth whose frequency of oscillation is 10 Hz.6. On planet X64J1, the period of a 0.50 m pendulum is 1.8 s. What is the acceleration due to gravity on this planet?7. What is the value of g for a location where a pendulum 1.88 m long has a period of 2.20 s?8. The period of a mass on a spring is 2 s. If k=50 N/m, what is the mass?9. Explain SHM.10. Explain Hook’s law.

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