You carry a 7.0 kg bag of groceries 1.2 m above the level floor at a constant velocity of 75 cm/s across a room that is 2.3 m room. How much work do you do on the bag in the process?

Respuesta :

Answer: No work is done on the bag in the process

Explanation:-

Work is defined as the the force resulting into displacement of an object.

[tex]w=f\times s\times cos\theta[/tex]

w = work done

f = force exerted

s = displacement

[tex]\theta=90^0\\cos(90^0)=0[/tex]

[tex]w=f\times s\times 0=0[/tex]

As, the direction of force is upward but the motion of the room is horizontal , thus the angle made is [tex]90^0[/tex]. Hence the work done is zero.

Thus work done is 0 joules.

The workdone is 0 joules, this shows that no work is done on the bag in the process

Work is said to be done if the force applied to an object causes the object to move over a distance.

The formula for calculating the workdone is expressed as:

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

Note that the distance is [tex]dcos \theta[/tex] since the body moves in a horizontal direction. The direction is also perpendicular showing that [tex]\theta =90^0[/tex]

Substituting into the formula:

[tex]W = Fdcos 90^0\\W=Fd(0)\\W=0Joules[/tex]

Since the workdone is 0 joules, this shows that no work is done on the bag in the process

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