- #1
darklich21
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Homework Statement
An elevator cable can stand a maximum tension of 19000N before breaking. The elevator has a mass of 520 kg, and a maximum acceleration of 2.16 m/s^2. Engineering safety standards require that the cable tension never exceed two-thirds of the breaking tension. How many 65-kg people can the elevator safely accommodate? round down to the nearest integer
Homework Equations
ma=T-mg
The Attempt at a Solution
Ok so this is what I did, I tried to come up with an equation for the total mass the elevator can handle
ma=T-mg
T=mg +ma
m=T/(g+a)
T= (2/3)(19,000N)= 126667.67
g=9.8m/s^2
a=2.16m/s^2
So i plugged everything in:
m= [(12,6667.67)/(9.8+2.16)] / 65.0kg and it came out to be around 16.3 kg, which i rounded down to 16 people, and apparently this answer is wrong. Can anyone help me out?