Question

Tarzan swings from a tree using a vine. The vine is initially horizontal, and Tarzan swings to the ground below (the length of the vine is exactly the height of Tarzan). Tarzan has a mass of 85 kg and is at rest when he steps off the tree branch. Obtain an expression for the tension in the rope as a function of time.

Answer 1

The tension in the rope is equal to the weight of Tarzan, which is determined by his mass and the acceleration due to gravity.

Step-by-step explanation:

The tension in the rope as a function of time can be expressed by the equation T = W. Tarzan's weight, W, is equal to the force exerted on him by Earth's gravity, which is equal to his mass multiplied by the acceleration due to gravity. The tension in the vine remains constant as long as Tarzan remains at rest.