Question

The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 81.7-kg person straight up by means of a cable. The person has an upward acceleration of 0.729 m/s2 and is lifted from rest through a distance of 7.86 m. (a) What is the tension in the cable

Answer 1

Step-by-step explanation:

Given that:

distance (z) = 7.86 m

mass of the person = 81.7 kg

Acceleration (a) = 0.729 m/s²

By using Newton's second law along the vertical axis:

`T - mg = ma\\ \\ T = ma + mg \\ \\ T = m(a+g) \\ \\`

T = 81.7 (0.729 +9.8)

T = 860.22 N

The work done now is:

`W_T = T* z \\ \\`

`W_T = 860.22 * 7.86`

`\mathbf{W_T =6761.3292\ N}`