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How much work is done by a girl weighing 500 N in climbing 5.0 m up a rope in the school gymnasium?

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How much work is done by a girl weighing 500 N in climbing 5.0 m up a rope in the
school gymnasium?

How much work is done by a girl weighing 500 N in climbing 5.0 m up a rope in the school gymnasium?

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XyliaElite · Tutor for 8 years

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The work done by the girl in climbing up the rope is 2500 J.

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## Step1<br />In physics, the work done by a force on an object is calculated when the force is exerted over a distance and results in displacement of the object. In this case, the girl's weight (which is equivalent to the force due to gravity) causes her to climb up the rope, which is a movement against the gravitational force.<br /><br />## Step2<br />The formula to calculate work done is:<br /><br />### **Work done (W) = Force (F) x Distance (d)**<br /><br />## Step3<br />In this problem, the force (F) is the girl's weight, which is 500 N, and the distance (d) is the height she climbs, which is 5.0 m.<br /><br />## Step4<br />Substitute the given values into the formula:<br /><br />### **W = 500 N x 5.0 m**<br /><br />## Step5<br />Calculate the above expression to get the work done.
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