Exploring Force Vector Addition

The video tutorial explains how to calculate the net force acting on an object subjected to three different forces. It begins by introducing the forces and their directions, followed by drawing a vector diagram. The tutorial then breaks down Force 3 into its X and Y components using trigonometry. After calculating these components, the video demonstrates how to sum the forces in both directions to find the net force. Finally, it uses the Pythagorean theorem and trigonometry to determine the magnitude and direction of the net force, concluding with a net force of 4.6 Newtons at an angle of 38 degrees north of west.

Which direction does Force 1 act on the object?

• North

• South

• East

• West

Tags

CCSS.7.EE.B.3

What is the magnitude of Force 2?

• 15 Newtons

• 31 Newtons

• 35 Newtons

• 29 Newtons

Tags

CCSS.HSN.VM.A.3

At what angle does Force 3 act?

• 25 degrees north of East

• 30 degrees north of East

• 35 degrees north of East

• 40 degrees north of East

Tags

CCSS.HSN.VM.A.3

What trigonometric function is used to find the y-component of Force 3?

• Cosine

• Sine

• Tangent

• Cotangent

What is the y-component of Force 3?

• 15.394 Newtons

• 17.781 Newtons

• 25.394 Newtons

• 31.000 Newtons

Tags

CCSS.HSN.VM.A.3

What is the net force in the y direction?

• 17.781 Newtons

• 15.000 Newtons

• 3.606 Newtons

• 2.781 Newtons

What is the net force in the x direction?

• 25.394 Newtons

• -3.606 Newtons

• 29.000 Newtons

• 2.781 Newtons

Tags

CCSS.HSN.VM.A.3

Which theorem is used to find the magnitude of the net force?

• Inverse tangent

• Cosine rule

• Pythagorean theorem

• Sine rule

Tags

CCSS.HSN.VM.A.3

What is the magnitude of the net force?

• 17.781 Newtons

• 3.606 Newtons

• 2.781 Newtons

• 4.6 Newtons

Tags

CCSS.HSN.VM.A.3

What is the direction of the net force?

• 35 degrees north of East

• 38 degrees north of East

• 38 degrees north of West

• 35 degrees north of West

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B