# A rescue helicopter lifts a 59.1-kg person straight up by means of a cable. The person has an upward acceleration of 0.694 m/s2 and is lifted from rest through a distance of 10.1 m. What is the tension in the cable?

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A rescue helicopter lifts a 59.1-kg person straight up by means of a cable. The person has an upward acceleration of 0.694 m/s2 and is lifted from rest through a distance of 10.1 m. What is the tension in the cable?

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Step 1

To find tension in the cable, first draw the free body diagram of the person as shown in the figure below.
In the free body diagram: m is mass of the person (59.1 kg), g is acceleration due to gravity (9.81 m/s2), a is acceleration of the person (a=0.694 m/s2) and T is tension in the cable.

Step 2

From Newton’s second law of motion we have:

Step 3

From Newton’s second law of motion, we can write the following ...

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