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14. an object is subject to multiple forces that result in the object h…

Question

  1. an object is subject to multiple forces that result in the object having horizontal and vert velocity components ( v_x ) and ( v_y ), respectively as a function of time, as shown. which of the following diagrams could represent the forces exerted on the object?

Explanation:

Step1: Analyze the horizontal velocity

The horizontal velocity \(v_x\) is constant. According to Newton's second law \(F = ma\), if \(a_x=\frac{\Delta v_x}{\Delta t}=0\), then the net horizontal force \(F_x = 0\).

Step2: Analyze the vertical velocity

The vertical velocity \(v_y\) is decreasing. So the vertical acceleration \(a_y=\frac{\Delta v_y}{\Delta t}<0\) (negative direction). By \(F = ma\), the net vertical force \(F_y<0\) (downward direction).

Answer:

A. Option Text