Question

if an object has a free - body diagram as drawn below, which of the following could describe the motion of the object? clear all accelerating left moving at a constant velocity accelerating right at rest

Explanation:

Step1: Analyze forces in free - body diagram

In a free - body diagram, if the net force on an object is zero, the object moves at a constant velocity according to Newton's first law. If the net force is non - zero, the object accelerates in the direction of the net force. Here, since the forces to the left and right are equal ($F_{left}=F_{right}$) and the forces up and down are equal ($F_{up}=F_{down}$), the net force on the object is zero.

Step2: Determine motion based on net force

When the net force on an object is zero, the object is either at rest or moving at a constant velocity. Since the question implies motion (as it is not asking about a stationary object), the object is moving at a constant velocity.

Answer:

Moving at a constant velocity