A 1200 N cart rests on a 36 degree incline. Calculate the value of the component of the cart’s weight that holds it against the inclined plane.

A 1200 N cart rests on a 36 degree incline Calculate the value of the component of the carts weight that holds it against the inclined plane class=

Respuesta :

Given,

The weight of the cat, W=1200 N

The angle of inclination, θ=36°

The component of the weight that holds the cat against the inclined plane is the vertical component.

The vertical component of the cat's weight is given by,

[tex]W_y=W\cos \theta[/tex]

On substituting the known values,

[tex]\begin{gathered} W_y=1200\times\cos 36^{\circ} \\ =970.8\text{ N} \\ \approx970\text{ N} \end{gathered}[/tex]

Thus the value of the component of the cat's weight that holds it against the inclined plane is 970 N

Therefore the correct answer is option 2.

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