jcparris
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What is the work done by a 20 newton force applied at an angle of 45.0° to move a box a horizontal distance of 40 meters? A. 8.0 × 102 joules B. 9.0 × 102 joules C. 5.6 × 102 joules D. 3.6 × 102 joules

Respuesta :

Hello, Jcparris


Your answer is C. 5.6 x 102 Joules


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Answer:

The correct answer is option C.

Explanation:

Work done is defined as product of force applied on an object to displace it from one from position to another.

[tex]W.D=Force\times displacement\times cos\theta [/tex]

[tex]\theta [/tex]= Angle between the force and displacement vectors.

Force applied in the box ,F= 20N

Displacement of the box = d = 40 m

Angle between the force and displacement = [tex]\theta =45^o[/tex]

[tex]W.D=F.d\times \cos \theta [/tex]

[tex]=20 N\times 40 m\times \cos (45^o)[/tex]

=[tex]20 N\times 40 m\times 0.7071 =565.685 J\approx 5.6\times 10^2 J[/tex]

The work done is [tex] 5.6\times 10^2 J[/tex].