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the 225-N force is exerted on the crate towards the north and the 165-N is exerted toward the East what’s the magnitude and direction of the net force

Respuesta :

Hania12

Answer:

force of 279 N

53.75 degrees from east to north

Explanation:

let net force be F , Fn - north force , Fe - east force

[tex]F^{2} =F_e^{2} +F_n^{2} \\=225^{2} +165^{2} \\=77850\\\\F=\sqrt{77850} \\=279 N[/tex]

let the direction be α angle from east to north

[tex]tan( \alpha)=\frac{F_n}{F_e} =\frac{225}{165} \\=1.3636\\\\\alpha =tan^{-1} (1.3636)\\=53.75 degrees[/tex]

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