Question

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)

weight = mg = 2*10^5N
= m(9.8) = 2*10^5N
mass = m = 2*10^5kg
_________
9.8

= 2.04*10^4kg
T-mg=ma
T=m(g+a)
=2.04*10^4(9.81+3)
=2.04*10^4*12.81
= 2.614*10^5N

is this done correctly?

Mar 14, 2009

Yes. I believe so.

Mar 14, 2009

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