I was reading my book because I have test tomorrow and I saw this question. Can anyone explain and answer this?
If someone pulls an object once with long rope and another time with short rope and if Work and Displacement be same, explain which one the guy applied more force? (Do not consider friction.)
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A longer rope weighs more itself, but otherwise I can’t think of a reason the length of rope on its own would change the work done
A longer rope weighs more itself, but otherwise I can’t think of a reason the length of rope on its own would change the work done
If Friction is considered nil, than guy with long rope will exert more force as he has to pull the weight from afar and weight of the rope adds up too
If Friction is considered nil, than guy with long rope will exert more force as he has to pull the weight from afar and weight of the rope adds up too
If you don’t take weight of the rope into account, the force will be the same in both cases. Are you sure you are quoting the question exactly as it is and it isn’t linked to some pulley system?
If you don’t take weight of the rope into account, the force will be the same in both cases. Are you sure you are quoting the question exactly as it is and it isn’t linked to some pulley system?
Work = Force x Distance.
Idealized rope (0 weight). Same work, same distance…. What should the force be in the two cases given the above equation?
Work = Force x Distance.
Idealized rope (0 weight). Same work, same distance…. What should the force be in the two cases given the above equation?
If the rope attaches to the object is lower than the person’s hands, that is if the ropes are not pulling parallel to the surface, greater force would be required on the short rope to achieve the same work and displacement. The force component parallel to the surface would be the same but the force component perpendicular to the surface would be greater for the short rope, so total force would be greater for the short rope. You would be pulling up more to achieve the same lateral force.
If the rope attaches to the object is lower than the person’s hands, that is if the ropes are not pulling parallel to the surface, greater force would be required on the short rope to achieve the same work and displacement. The force component parallel to the surface would be the same but the force component perpendicular to the surface would be greater for the short rope, so total force would be greater for the short rope. You would be pulling up more to achieve the same lateral force.
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