Question

how does speed affect centripetal force?
faster speed means a weaker centripetal force.
faster speed means a stronger centripetal force.
slower speed means a stronger centripetal force.

Explanation:

Step1: Recall the formula for centripetal force

The formula for centripetal force \(F_c=\frac{mv^2}{r}\), where \(m\) is the mass of the object, \(v\) is the speed of the object, and \(r\) is the radius of the circular path.

Step2: Analyze the relationship between speed and centripetal force

From the formula \(F_c=\frac{mv^2}{r}\), if the mass \(m\) and radius \(r\) are constant, \(F_c\) is directly proportional to \(v^2\). That is, when the speed \(v\) increases, \(v^2\) increases, and thus the centripetal force \(F_c\) increases.

Answer:

Faster speed means a stronger centripetal force.