Question

question 1
6 points
suppose you swing a mass on a string in a circle. if you were to increase the mass you were swinging while keeping the string length the same, the force you must apply to keep it moving in a circle at the same speed as before must
a decrease.
b stays the same.
c increase.
d depends on the size of the mass.

Explanation:

Step1: Recall the formula for centripetal force

The centripetal force \(F = m\frac{v^{2}}{r}\), where \(m\) is the mass, \(v\) is the speed, and \(r\) is the radius (string length in this case).

Step2: Analyze the effect of increasing mass

Given that \(v\) (speed) and \(r\) (string length) are constant. If \(m\) (mass) increases, since \(F\) is directly proportional to \(m\) (\(F\propto m\) when \(v\) and \(r\) are fixed), the force \(F\) will increase.

Answer:

C. Increase