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A force Ě = F, î + Fy h acts on a particle
that undergoes a displacement of g = s, it
Sy Ĵ where F, = 10 N, F, = -1 N, 8z = 4 m,
and sy=1 m.
Find the work done by the force on the
particle.
Answer in units of J.

A force Ě F î Fy h acts on a particle that undergoes a displacement of g s it Sy Ĵ where F 10 N F 1 N 8z 4 m and sy1 m Find the work done by the force on the pa class=

Respuesta :

citlali18

Answer:

Pt 1: [tex]W=39J[/tex]

Pt 2: θ = [tex]19.7[/tex]

Explanation:

Part 1:

[tex]W=FS[/tex]

[tex]W=F_{_xs_x}+F{_ys_y}[/tex]

imagine the "i"and the "j" with the hat

[tex]W=(10i-1j)(4i+3j)[/tex]

[tex]W=(10*4)-(1*1)[/tex]

[tex]W=40-1[/tex]

[tex]W=39J[/tex]

Part 2:

[tex]|F|=\sqrt{10^2+(-1)^2}[/tex]

[tex]|F|=\sqrt{101}[/tex]

[tex]|S|=\sqrt{4^2+1^2}[/tex]

[tex]|S|=\sqrt{17}[/tex]

[tex]W=|F||S|cos[/tex]θ

[tex]39=(\sqrt{101})(\sqrt{17} )cos[/tex]θ

θ = [tex]19.7[/tex]

Hope it helps

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