Worksheet: Free-Body Diagrams

In this worksheet, we will practice analyzing free-body diagrams and use them to determine the net force and unknown forces acting on objects.

Q1:

A man pushes a box in the direction of the arrow shown in the diagram. Which of the following is a correct free-body diagram showing the horizontal forces acting on the box?

  • AIV
  • BI
  • CIII
  • DII

Q2:

A box is pulled along a surface by an applied force of 32 N, as shown in the diagram, which is not to scale. The net horizontal force on the box, acting to the right, is 24 N. What is the magnitude of the force ๐น ?

Q3:

A man pushes a box, as shown in the diagram. The box does not move. Which of the following is a correct free-body diagram showing the horizontal forces acting on the box?

  • AIII
  • BIV
  • CII
  • DI

Q4:

The wheel of a car is rotating counterclockwise. The car is accelerating horizontally. The wheel makes contact with the road beneath it at a point ๐‘ƒ that lies on the surface of the wheel, as shown in the diagram.

Which of the following is a correct free-body diagram showing the forces acting on the point ๐‘ƒ ?

  • A
  • B
  • C
  • D

Q5:

A box is pulled along a surface by an upward diagonal applied force of 55 N, as shown in the free-body diagram. The object does not move.

Is the magnitude of the reaction force greater than, less than, or equal to 75 N?

  • AEqual to 75 N
  • BMore than 75 N
  • CLess than 75 N

Is the magnitude of the friction force greater than, less than, or equal to 55 N?

  • ALess than 55 N
  • BMore than 55 N
  • CEqual to 55 N

Q6:

In which of the following diagrams do the directions of all the vectors shown correctly represent the vectors in a free-body diagram of the forces acting on Earth due to the Sunโ€™s gravity?

  • A
  • B
  • C
  • D

Q7:

A free-body diagram representing the forces acting on an object is shown.

What is the direction of the net force that acts on the object?

  • ANorth
  • BWest
  • CSouth
  • DEast

Which of the lines shown correctly represents the magnitude of the net force that acts on the object compared to the magnitude of the force that acts toward the west?

  • AI
  • BIII
  • CIV
  • DII

Q8:

A man pushes a box that is moving in the direction of the arrow shown in the diagram. Before the box touched the manโ€™s hands, it was moving at a constant speed with no forces acting on it. Which of the following is a correct free-body diagram showing the horizontal forces acting on the box?