contestada

A man pushes a lawn mower on a level lawn with a force of 195 N. If 37% of this force is directed downward, how much work is done by the man in pushing the mower 5.7 m?

Respuesta :

Answer:

[tex]W = 1032.6 J[/tex]

Explanation:

Net force by which man push the lawn mower is given as

[tex]F = 195 N[/tex]

now it is given that 37% of this force is vertically downwards

so we will have

[tex]F_y = 0.37 \times 195[/tex]

[tex]F_y = 72.15 N[/tex]

now we also know that

[tex]F_x^2 + F_y^2 = F^2[/tex]

here we have

[tex]F_x^2 + 72.15^2 = 195^2[/tex]

[tex]F_x = 181.2 N[/tex]

Now work done by this force to move the lawn mower is given as

[tex]W = F_x . d[/tex]

[tex]W = (181.2)(5.7 m)[/tex]

[tex]W = 1032.6 J[/tex]

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