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9 kelly is pushing a cart across the physics laboratory at her school. …

Question

9 kelly is pushing a cart across the physics laboratory at her school. the cart has a mass of 91.0 kg. as she pushes, the cart accelerates at a rate of 0.211 m/s². how much force is kelly exerting on the cart? 892 n 91.0 n 166 n 19.2 n

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration.

Step2: Substitute the given values

Given \(m = 91.0\space kg\) and \(a=0.211\space m/s^{2}\). Substitute into \(F = ma\): \(F=(91.0)(0.211)\).

Step3: Calculate the force

\(F=(91.0)(0.211)= 19.201\approx19.2\space N\)

Answer:

19.2 N