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A loaded elevator with very worn cables has a total mass of 3000 kg, and the cables can withstand a maximum?
A loaded elevator with very worn cables has a total mass of 3000 kg, and the cables can withstand a maximum total tension of 50,000 N . (a) what is the maximum upward acceleration for the elevator if the cables aree not to break? (b) what must the tension be if the elevator has an upward acceleration of 2.5 m/s^-2 (c) what is the answer to part (a) if the elevator is taken to another planet where g=4.50 m/s^-2 (d) what is the apparent weight of a 600 N person in the elevator when the elevator is accelerating upward at 4 m/s^-2?
Take me step by step please!!
1 Answer
- AmyLv 78 years agoFavorite Answer
When an elevator is accelerating upward, the TOTAL force on it is F = ma. This is the sum of two forces, tension (upward) and gravity (downward).
ma = T - mg
a) If m = 3000kg, g = 10 m/s^2, and T < 50000N, then what is a?
b) If m = 3000kg, g = 10 m/s^2, and a = 2.5 m/s^2, then what is T?
c) If m = 3000kg, g = 4.5 m/s^2, and T < 50000N, then what is a?
"Apparent weight" is the normal force exerted by the floor. If the floor is still, then apparent weight is actual weight. But if the floor is accelerating, then the normal force plays the same role that tension did for the elevator.
W = mg + ma.
d) If mg = 600N, g = 10 m/s^2, and a = 4 m/s^2, then what is W?
