Tarzan, who weighs 899 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 4.45 m?
work= mgh = 887*4.45 Joules
To calculate the work done by the tension in the vine, we need to use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the energy transferred or work done
- Force is the applied force in the direction of motion
- Distance is the distance traveled
- θ is the angle between the force vector and the direction of motion
In this case, Tarzan is dropping vertically, so the angle θ between the force of tension in the vine and the direction of motion is 0 degrees (cos(0) = 1).
Given that Tarzan weighs 899 N and drops through a vertical distance of 4.45 m, we can calculate the work done:
Work = (Force) × (Distance) × cos(θ)
= (899 N) × (4.45 m) × cos(0)
Since cos(0) = 1, we can simplify the equation:
Work = (899 N) × (4.45 m) × 1
Work = 3997.55 J
Therefore, the tension in the vine does 3997.55 Joules of work as Tarzan drops through a vertical distance of 4.45 m.