1 answer

K 2 of 8 Constants Part A An object with mass 3.1 kg is executing simple...

Question:

K 2 of 8 Constants Part A An object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 330 N/m. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.65 m/s Calculate the amplitude of the motion. Expregs your answer to two significant figures and include the appropriate units. AValue Units Submit Part B Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate units IA nValue Units
K 2 of 8 Constants Part A An object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 330 N/m. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.65 m/s Calculate the amplitude of the motion. Expregs your answer to two significant figures and include the appropriate units. AValue Units Submit Part B Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate units IA nValue Units

Answers

a) angular frequency is given as

\omega =\sqrt{\frac{k}{m}}=\sqrt{\frac{330}{3.1}}=10.32rad/s

Now, speed at any position is

v=\omega \sqrt{A^{2}-x^{2}}

\Rightarrow 0.65=10.32\sqrt{A^{2}-0.020^{2}}

\Rightarrow A=0.066m

b) Maximum speed is

v_{max}=\omega A

\Rightarrow v_{max}=10.32*0.066=0.68m/s

.

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