High School

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A string requires 186 N of force to break. A 1.50 kg mass is tied to the string and whirled in a vertical circle with a radius of 1.90 m. What is the maximum speed that this mass can be whirled at without breaking the string?

Answer :

Final answer:

The problem is a physics problem that applies the principles of centripetal force to understand the maximum speed at which a mass can be whirled without breaking the string it is attached to. This can be calculated by rearranging the equation for force and substituting the given values.

Explanation:

In this problem, the tension in the string due to the motion of the mass in a circular path is the centripetal force. The force of tension is also equal to the weight of the mass that the string can handle before it breaks. Given that the string can handle up to 186 N of force before breaking, and the mass of the object is 1.50 kg, we can use the following equation to find out the maximum speed that the mass can be whirled at without breaking the string:

Tension (T) = m * g + m * v^2 / r

where m is the mass, g is the acceleration due to gravity, v is speed, and r is the radius of the circular path. We're given that the tension is 186 N, the mass m is 1.50 kg, g is approximately 9.8 m/s², and the radius r is 1.90 m.

We can rearrange this equation to solve for v, the maximum speed:

v = sqrt((T - m * g ) * r / m)

Substitute the given values into this equation to find the maximum speed.

Learn more about Centripetal Force here:

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Rewritten by : Barada