Consider the four free body diagrams. Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation. Do any of the free body diagrams indicate motion? If yes, which one(s). Explain.

A)
No. In each case, the forces are balanced.


B)
Yes. In B the book is slowing down because of the friction force opposing motion.


C)
You cannot tell if there is any motion. You can only determine how much force is acting on the objects.


D)
Yes. In B and D. In both cases, there is a net force.
In B, there is a net force to the left; in D there is a net force upward.

Consider the four free body diagrams Freebody diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a g class=

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If you look closely at each of the four diagrams you would be able to conclude that

D) 
Yes. In B and D. In both cases, there is a net force. 
In B, there is a net force to the left; in D there is a net force upward.

In A and C, the forces are in equilibrium both in the horizontal and vertical direction.
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When the net force acting on a body is not equal to zero, then the body will be in a state of motion in the direction of the greater magnitude of force. Hence, diagrams B and D indicate motion. Hence, option D is correct.

Calculating the net force in each scenario :

Diagram A :

Fgrav - Fnorm = 3 - 3 = 0

Ffric - Fapp = 5 - 5 = 0

Net force = 0 (No motion)

Diagram B :

Fgrav - Fnorm = 3 - 3 = 0

Ffric - Fapp = 5 - 0 = 5

Net force = 5N (in the direction of the frictional force)

Diagram C:

Fgrav - Fnorm = 20 - 20 = 0

Ffric - Fapp = 0

Net force = 0 (No motion)

Diagram D:

Fair - Fgrav = 40 - 25 = 15N

Ffric - Fapp = 0

Net force = 15 N (in the upward direction)

Therefore, the diagrams B and D exhibits motion.

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