how do i solve for this..?

please write out the equation for me to understand..:)

an elevator weighing 2.00 * 10^5 N is supported by a steel cable. what is the tension in the cable when the elevator is accelerated upward at a rate of 3.00 m/s^2? (g=9.81 m/s^2)

thanks a lot!

2 answers

F = M a, where F is the net force on the elevator.
The net force is T - M g, where t is the tension in the cable pulling it up. M g is the weight.
Therefore
T - Mg = Ma
T = M(g + a)

Note that you are given the weight W = Mg and not the mass M.

In terms of the weight,
T = W (1 + a/g)
i'm still a little confused
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