Net Force Physics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Two perpendicular forces act on an object: 6 N6 \text{ N} east and 8 N8 \text{ N} north. What is the magnitude of the net force?

Solution

  1. 1
    Use the Pythagorean theorem for perpendicular forces.
  2. 2
    Fnet=Fx2+Fy2=62+82=36+64=100=10 NF_{\text{net}} = \sqrt{F_x^2 + F_y^2} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \text{ N}

Answer

Fnet=10 NF_{\text{net}} = 10 \text{ N}
When forces act at right angles, the net force magnitude is found using the Pythagorean theorem, treating the forces as components of the resultant vector.

About Net Force

The single resultant force obtained by vector addition of all individual forces acting on an object, which alone determines the object's acceleration according to Newton's.

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More Net Force Examples

Example 1 easy

Three forces act on an object: [formula] right, [formula] left, and [formula] left. What is the net

Example 3 medium

A [formula] object experiences forces of [formula] forward and [formula] backward. What is the net f

Example 4 easy

A [formula] sled accelerates east at [formula]. What is the net force on the sled?

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