Calculating Work Done by Tension in Vine for Tarzan

In summary, the formula for calculating work done by tension in a vine for Tarzan is W = Fd, where W is the work done, F is the tension force, and d is the displacement of the vine. The tension force can be determined by using the equation F = ma, where F is the tension force, m is the mass of Tarzan, and a is the acceleration of Tarzan. The work done by tension is positive, as the force and displacement are in the same direction, allowing Tarzan to gain kinetic energy. The work done can be greater than the force applied, as it is a product of both force and displacement. The angle of the vine can also affect the work done, with a closer angle to
  • #1
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0
Tarzan, who weighs 875 N, swings from a vine through
the jungle. How much work is done by the tension in the
vine as he drops through a vertical distance of 4.00 m?

The answer is zero.

Why is this?
 
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  • #2
You might want to draw a sketch of King of the Jungle as he swings from a long vine. At some point he is 4 m vertically lower than his starting point. The tension force in the vine is always perpendicular to his displacement vector at any instant. What is the definition of work?
 

1. What is the formula for calculating work done by tension in a vine for Tarzan?

The formula for calculating work done by tension in a vine for Tarzan is W = Fd, where W is the work done, F is the tension force, and d is the displacement of the vine.

2. How do you determine the tension force in a vine for Tarzan?

The tension force in a vine for Tarzan can be determined by using the equation F = ma, where F is the tension force, m is the mass of Tarzan, and a is the acceleration of Tarzan as he swings on the vine.

3. Is the work done by tension in a vine for Tarzan positive or negative?

The work done by tension in a vine for Tarzan is positive, as the force and displacement are in the same direction. This means that the vine is doing work on Tarzan, allowing him to move forward and gain kinetic energy.

4. Can the work done by tension in a vine for Tarzan be greater than the force applied?

Yes, the work done by tension in a vine for Tarzan can be greater than the force applied. This is because work is a product of both force and displacement, so even if the force applied is small, if the displacement is large enough, the work done can still be significant.

5. How does the angle of the vine affect the work done by tension for Tarzan?

The angle of the vine can affect the work done by tension for Tarzan. The work done will be greater if the angle of the vine is closer to 90 degrees, as this will result in a greater displacement and therefore a larger work done.

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