Question

applying newtons second law to circular motion, the direction of the centripetal is the same as the direction of the acceleration: toward the of the circle.

Explanation:

Newton's second law states \(F = ma\). In circular motion, the centripetal force (\(F_c\)) causes centripetal acceleration (\(a_c\)). The formula \(F_c=ma_c\) shows that force and acceleration are vectors. Since \(m\) (mass) is a scalar, the direction of \(F_c\) must be the same as the direction of \(a_c\). Centripetal acceleration is directed toward the center of the circle (derived from the relationship between tangential velocity and the change in velocity vector in circular motion), so centripetal force is also directed toward the center.

Answer:

First blank: force; Second blank: centripetal; Third blank: center.