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In: Physics

At an outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude...

At an outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 20.0 cm on a spring with a spring constant of 16.0 N/m. It is observed that the maximum speed of the bunch of bananas is 44.0 cm/s. What is the weight of the bananas in newtons?

Solutions

Expert Solution

Let the weight of the bananas in newtons is W.

Let the mass of the bananas is m.

Let the period of the oscillation is T.

Given that the amplitude A=20.0 cm=0.20 m.

The spring constant k=16.0 N/m.

The maximum speed of the bunch of bananas is v=44.0 cm/s=0.44 m/s.

Now we know the maximum speed

  

Now we know the period of the oscillation

     

  

  

  

Now the weight of the bunch of bananas is

  

  

The weight of the bananas in newtons is 32.39669421 N or 32.40 N approx.


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