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? I know the answers but I don't understand what formulas to get them. Could someone explain step by step.

Explanation / Answer

1) T=60/34=1.765 sec 2) f=1/T=0.566 Hz 3) A=0.1 m, because it was an initial amplitude 4) speed will be greatest at the middle, where potential energy is zero and energy of the spring is also zero 5)potential energy is a greatest at highest point, so it will be 10 cm above equilibrium point 6) same answer as at 4. kinetic energy is mv^2/2, so where v is bigger there kinetic energy also bigger

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