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A force of 73.8 newtons is applied to travel bag at an angle 39.0° with the horizontal. What are the horizontal and vertical components of the force?

User MRAB
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The horizontal component of the force is 57.4 N and the vertical component of the force is 46.4 N

How do I determine the horizontal component of force?

The horizontal component of the force can be obtained as follow:

Force applied (F) = 73.8 Newtons

Angle of projection (θ) = 39 °

Horizontal component of force (Fx) =?

Horizontal component of force (Fx) = F × Cosθ

Fx = 73.8 × Cos 39

Fx = 57.4 N

Thus, the horizontal component of force is 57.4 N

How do I determine the vertical component of force?

The vertical component of the force can be obtained as follow:

Force applied (F) = 73.8 Newtons

Angle of projection (θ) = 39 °

Vertical component of force (Fy) =?

Vertical component of velocity (Fy) = u × Sine θ

Fy = 73.8 × Sine 39

Fy = 46.4 N

Thus, the vertical component of force is 46.4 N

User Rob MacEachern
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