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A student collected data for a spring-mass systemGiven:g = 10 m/s/sSpring is considered to be idealSpring Constant = 80 N/mData:Mass of object = .50 kgAmplitude of oscillation = 0.3 mCalculate the maximum velocity of the mass.4.2 m/sThe correct answer is not shown3.8 m/s4.0 m/s4.9 m/s4.7 m/s4.5 m/s

Respuesta :

This question is related to angular frequency of oscillation

Given,

g=10 m/s²

k=80 N/m

m=0.5 kg

A=0.3 m

The angular frequency of oscillation of mass is given by

[tex]\omega=\sqrt{\frac{k}{m}}[/tex]

Putting the values in the equation above

[tex]\omega=\sqrt{\frac{80}{0.5}}=\sqrt{160}[/tex]

The maximum speed of the mass is given by

[tex]v_{max}=\omega A=\sqrt{160}\times0.3[/tex]

Result: The correct option will be A which is 3.8 m/s

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