Question

A rescue helicopter is lifting a 78.9 kg man from a capsized boat by means of a cable and harness. What is the tension in the cable when the man is given an initial upward acceleration of 1.8 m/s/s.

Answer 1

the tension T = 916[N]

Step-by-step explanation:

We need to analyze the sketch that is in the attached image, here we can find the free body diagram with the forces acting over him.

The weight is equal to the product of the mass by the gravity

w = m*g = 78.9[kg] * 9.81[m/s^2]

The acceleration given by the helicopter is 1.8 [m/s^2]

The sum of forces on the body must be equal to mass by acceleration.

The only forces acting are the tension of the cable and the weight of man, these forces are equal to the product of mass by acceleration.