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A child pushes horizontally on a box of mass m which moves with constant speed v across a horizontal floor. The coefficient of friction between the box and the floor is μ. At what rate does the child do work on the box?

Respuesta :

Answer:

Explanation:

Given

mass of box is m

speed of box is v

coefficient of friction [tex]\mu =\frac{1}{4}=0.25[/tex]

Box is moving at a constant speed i.e. Net Force on box is zero

i.e. Frictional Force and Force Applied are Equal

[tex]F=f_r=\mu mg[/tex]

The Rate at which power is generated is

[tex]P=F\cdot v[/tex]

[tex]P=\mu mg\cdot v[/tex]

[tex]P=0.25mgv[/tex]

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