A 200-gram mass is attached to a spring and allowed to hang in the equilibrium p

Question

A 200-gram mass is attached to a spring and allowed to hang in the equilibrium position. The mass is then raised 10cm and released. The mass moves down and up 34 times in one minute. Draw a picture and show all work and formulas used to get each answer in neat order. a. What is the period of this oscillation? b. What is the frequency of this oscillation? c. What is the Amplitude of this oscillation? d. As the mass moves down and up, where is its speed the greatest? e. As the mass moves down and up, where is its potential energy the greatest? f. As the mass moves down and up, where is its kinetic energy the greatest?

Explanation / Answer

In equilibrium position, mg = k * ?l => spring constant, k = (mg) / (?l) = (9 * 9.81) / (0.03) N/m = 2943 N/m frequency, f = (1/2p) v(k/m) = (1/2p) v(2943/9) = 2.878 Hz Answer:- B.

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