A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is 0.300 m. A damping force Fx=−bvxF x

​

=−bv

x

​

acts on the egg, and the amplitude of the motion decreases to 0.100 m in 5.00 s. Calculate the magnitude of the damping constant b.

The correct answer will be "0.022 kg/s".

Explanation:

The given values are:

Initial amplitude,

A₁ = 0.3 m

Final amplitude,

A₂ = 0.1 m

Mass of a egg,

m = 50.0 g i.e., 0.050 kg

Time,

t = 5 sec

As we know,

⇒  

So that, the damping constant will be:

⇒  

On putting the estimated values, we get

⇒  

⇒    

⇒    

⇒    

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explanation: