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Charra [1.4K]
2 years ago
14

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.
Computers and Technology
1 answer:
gayaneshka [121]2 years ago
7 0

Answer:

Explanation:

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

F = m\frac{v^2}{r}

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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