Question

1) Work & (Non) Conservative forces John is pushing a 30 kg sofa across a carpet floor. He must overcome a 150 N frictional force to keep the sofa moving. a) How much work has John done if he pushing the sofa 5 metres to the right of its original position? b) How much total work has John done if he then pushes the sofa back to its original position?

          1) Work & (Non) Conservative forces
John is pushing a 30 kg sofa across a carpet floor. He must overcome a 150 N frictional force to
keep the sofa moving.
a) How much work has John done if he pushing the sofa 5 metres to the right of its original
position?
b) How much total work has John done if he then pushes the sofa back to its original position?
        
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1) Work     (Non) Conservative forces
John is pushing a 30 kg sofa across a carpet floor. He must overcome a 150 N frictional force to
keep the sofa moving.
a) How much work has John done if he pushing the sofa 5 metres to the right of its original
position?
b) How much total work has John done if he then pushes the sofa back to its original position?

Added by Kathryn D.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Confused where to start. Obviously work = force x distance (when in same direction) however we don't specifically have a force or am i to assume it is the 150 which meets the frictional force to overcome it? Work &(Non) Conservative forces John is pushing a 30 kg sofa across a carpet floor. He must overcome a 150 N frictional force to keep the sofa moving a) How much work has John done if he pushing the sofa 5 metres to the right of its original position? b) How much total work has John done if he then pushes the sofa back to its original position?
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You are rearranging the furniture in your living room. In doing so, you push a $30 \mathrm{~kg}$ sofa to the left a total distance of $2 \mathrm{~m}$ and then you push it back to the right a distance of $1 \mathrm{~m}$. The coefficient of kinetic friction between the sofa and the hardwood floor is 0.2 . (a) What is the work done by friction in moving the sofa? (b) Suppose that you had instead simply moved the sofa to its final position by moving it directly $1 \mathrm{~m}$ to the left. What is the work done by friction in this case? (c) From the results you obtained in parts (a) and (b), what can you conclude about the nature of the friction force? Is it a conservative force? Explain.

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Transcript

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00:01 Here first like this so far and turn force towards right left we will assume it is constant and horizontal now secondly there is a force of friction towards left side since both forces are constant we can use the formula work done by constant force that is equal to we know work is equal to force into distance into cos theta now where theta is the angle between the force and the direction of the motion in this case since both forces are horizontal in opposite direction theta is the 180 degree first we have to let assume for work one that is equal to force into distance into let here theta is…
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