A loaded elevator with very worn cables has a total mass of 2000 kg , and the ca

Question

A loaded elevator with very worn cables has a total mass of 2000 kg , and the cables can withstand a maximum tension of 2.90×104 N .
Part A
Draw the free-body force diagram for the elevator.(Assume that the elevator is accelerating upward.)
Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.SubmitMy AnswersGive Up
Part B
Apply Newton's second law to the elevator and find the maximum upward acceleration for the elevator if the cables are not to break?

a =
2.79
  m/s2  

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Part C
What would be the answer to part B if the elevator were on the moon, where free fall acceleration is g = 1.62 m/s2 .

a =
  m/s2  

Explanation / Answer

A) when elevator is moving upward with upward acceleration a then tension T act upward which us balanced by the downward force F and another force due to gravity i.e. m*g where is mass and g is gravity

B) T=m*g+F

F=m*a

a=T/m-g

a=(2.9*10^4/2*10^3)-9.8=4.7m/s^2

C) At moon when g=1.62m/s^2

a=(2.9*10^4/2*10^3)-1.62=12.88m/s^2

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