Question

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

Answer 1

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

`\omega=\sqrt{(k)/(m)}`

Putting the values in the equation above

`\omega=\sqrt{(80)/(0.5)}=√(160)`

The maximum speed of the mass is given by

`v_(max)=\omega A=√(160)*0.3`

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