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An elevator of mass \(m=500\) kg is supported by a cable that exerts an upward tension force \(\Vect{T}\) with a magnitude of \(5900\) N. The force of gravity, \(\Vect{F_g}\), acts downwards. The y-axis is oriented vertically upwards.
Using the acceleration due to gravity \(g=9.8\) m/s²,
Calculate the force of gravity, \(F_g = mg\), and write the vectors for the tension force, \(\Vect{T}\), and the gravitational force, \(\Vect{F_g}\).
Calculate the net force \(\sum \Vect{F}\) on the elevator.
Determine the acceleration vector \(\Vect{a}\) of the elevator.
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