Question

Consider a tightrope walker where the walker is 70.0 kg and at the angle made from the horizontal is 5.00 degrees on both sides. What is the Tension Force on each of the ropes?

Options:
A. 343 N
B. 700 N
C. 98 N
D. 500 N

Answer 1

The tension force on each of the ropes is approximately 686 N.

Step-by-step explanation:

To calculate the tension force on each of the ropes, we can use the concept of equilibrium. The walker is in equilibrium, so the net force on them must be zero. The force of tension in each rope is acting upward and can be resolved into vertical and horizontal components.

Using trigonometry, we can calculate the vertical components of the tension forces. The weight of the walker is acting downward, so the vertical component of tension in each rope must be equal to the weight of the walker. The weight can be calculated using the formula: weight = mass x acceleration due to gravity.

Therefore, the Tension Force on each of the ropes is approximately 686 N, which is option B.