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oscillates back and for is the approximate period of the block if it has a speed of 4 m/s when it passes through its equilibrium point?

oscillates back and for is the approximate period of the block if it has a speed of 4 m/s when it passes through its equilibrium point?

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This is a multiple choice question, so you can just give the answer with the letter it corresponds with.
(В) 6 m/s (C) 8 m/s? (D) 10 m/s? 9. A block with a mass of 10 kg connected to a spring oscillates back and forth with an amplitude of 2 m. What is the approximate period of the block if it has a speed of 4 m/s when it passes through its equilibrium point? (A) 1s (B) 3 s (С) 6s (D) 12 s
Transcribed Image Text:(В) 6 m/s (C) 8 m/s? (D) 10 m/s? 9. A block with a mass of 10 kg connected to a spring oscillates back and forth with an amplitude of 2 m. What is the approximate period of the block if it has a speed of 4 m/s when it passes through its equilibrium point? (A) 1s (B) 3 s (С) 6s (D) 12 s
Expert Solution
Step 1

For the mass m oscillating on a spring with spring constant k, amplitude A and velocity v, it can be written that,

kA22=mv22k=10×4222  =40 N/m 

Now it is known that, time period T=2πmk

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