In: Physics
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?
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.