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A mass m is attached to the end of a rope of length r = 3 meters. The rope can only be whirled around at speeds of 1, 10, 20, or 40 meters per second. The rope can withstand a maximum tension of T = 60 Newtons. Write a program where the user enters the value of the mass m, and the program determines the greatest speed at which it can be whirled without breaking the rope.

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MechEngineer

Answer:

Explanation:

Let's do this in Python. We know that the formula for the centripetal force caused by whirling the mass is:

[tex]F = m\frac{v^2}{r}[/tex]

where v is the speed (1, 10, 20, 40) and r = 3 m is the rope length.

Then we can use for loop to try calculating the tension force of each speed

def maximum_speed(m):

    for speed in [1, 10, 20, 40]:

         tension_force = m*speed^2/3

         if tension_force > 60:

              return speed

    return speed

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