Question

the free - body force diagram for an object is shown. based on the free - body force diagram, which of the following describes the motion of the object? a. the object is accelerating upward. b. the object is accelerating to the right. c. the object is moving upward with a constant speed. d. the object is moving to the left at an increasing speed

Explanation:

Step1: Analyze horizontal forces

The leftward force is \( 4N \) and the rightward force is \( 4N \). So the net horizontal force \( F_{net,x}=4N - 4N = 0N \).

Step2: Analyze vertical forces

The upward force is \( 7N \) and the downward force is \( 4N \). So the net vertical force \( F_{net,y}=7N - 4N = 3N \) (upward).

Step3: Relate net force to acceleration

According to Newton's second law (\( F = ma \)), a non - zero net force causes acceleration in the direction of the net force. Since the net vertical force is upward, the object will accelerate upward. The horizontal net force is zero, so there is no horizontal acceleration.

Answer:

A. The object is accelerating upward.