Question

if you were on this merry - go - round, where would you feel the least centripetal force?
near the edge of the merry - go - round
towards the center of the merry - go - round
the force is the same everywhere

Explanation:

Step1: Centripetal force formula

The centripetal force formula is \(F = m\omega^{2}r\), where \(m\) is mass, \(\omega\) is angular velocity, and \(r\) is the radius (distance from the center).

Step2: Analyze the formula

Since \(m\) and \(\omega\) (for a given merry - go - round, \(\omega\) is the same for all points) are constant. The centripetal force \(F\) is directly proportional to \(r\) (\(F\propto r\)).

Answer:

Towards the center of the merry - go - round