Arescue 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.

the tension T = 916[N]

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.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: