You are using a lightweight rope to pull a sled along level ground. The sled weighs 485 N, the coefficient of kinetic friction between the sled and the ground is 0.200, the rope is at an angle of 12∘ above the horizontal, and you pull on the rope with a force of 125 N. Find the normal force that the ground exerts on the sled.

Respuesta :

The normal force that the ground exerts on the sled will be given as

[tex]F_{N} =459.01 N[/tex]

What will be the normal force that the ground exerts on the sled?

Here we have the following details

Weight of the sled = 485 N

coefficient of kinetic friction between the sled and the ground = 0.200

The rope is at an angle of above the horizontal = 12

pull on the rope with a force = 125N

Now applying newtons law

[tex]F_{N} +F_{Y} -W=0[/tex]

Now from the Pythagorean theorem, we can calculate the component of the force at Y-axis

[tex]Sin(12)=\dfrac{F_{y} }{F}[/tex]

[tex]F_{y}=FSin(12)\dfrac{ }{}[/tex]

Now putting this value

[tex]F_{N}=W-FSin12[/tex]

[tex]F_{N}=485-(125)Sin12[/tex]

[tex]F_{N}=459.01N[/tex]

The normal force that the ground exerts on the sled will be given as

[tex]F_{N} =459.01 N[/tex]

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