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A boy pushes a box with a force of 150 N at an angle of 40 with a flat floor. What component of his force is directed downward , or into the floor . PLEASE ANSWER!!!!!

Respuesta :

Answer:

[tex]F_y=96.4N[/tex]

Explanation:

Hello.

In this case, considering the force diagram shown on the attached picture, we can see that the component of his force is directed downwards is:

[tex]F_y=F\times sin (\theta)[/tex]

Because the other component is the horizontal one:

[tex]F_x=F\times cos(\theta)[/tex]

In this case, the y-component force turns out:

[tex]F_y=150N\times sin (40\°)\\\\F_y=96.4N[/tex]

Moreover, the x-component force is also computed if required:

[tex]F_x=150N\times cos(40\°)\\\\F_x=114.9N[/tex]

Best regards.

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