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An elevator weighs 3000kg. What is its acceleration when the in the tension supporting cable is 33000N. Given that g = 9.8m/s2.

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M = 3000 kg g = 9.8 m/s² T = 33000 a = ? Ma = Mg - T 3000 * a = 3000 * 9.8 - 33000 3000a = 29400 - 33000 3000a = - 3600 a = - 1.2 m/s².
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Life Skills Trainer

Mg - T = Ma 3000 * 9.8 - 33000 = 3000* a 29400 - 33000 = 3000 * a -3600/3000 = a a = - 1.2 m/s2
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Given, Weight, M = 3000kg Tension, T = 33000N g = 9.8m/s^2 a= ? We have, Mg - T = Ma ie, (3000*9.8) - 33000 = 3000 * a a = ((3000*9.8) - 33000)/3000 = -1.2m/s^2 therefore the elevator is moving up with an acceleration of 1.2m/s^2
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Physics Teacher

a=(33000-3000*9.8)/3000 m/s^2
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M = 3000 kg g = 9.8 m/s² T = 33000 a = ? Ma = Mg - T 3000 * a = 3000 * 9.8 - 33000 3000a = 29400 - 33000 3000a = - 3600 a = - 1.2 m/s² Therefore, the elevator will move up with an acceleration of 1.2 m/s²
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Tutor.

F=m(a+g) a=11-9.8 1.2 m/s2
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Mentor/ Tutor

33000-3000*9.8=3000*a 33000-29400=3000*a 3600/3000=a
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33000-g.3000 = a.3000 With usual meaning of symbols. a negative means movement is downward & vice versa.
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Physics - The Science Cube

Equate F (net) = ma Then T - mg = ma (assume all vectors in + Y direction as positive) 33000 - 3000 X 9.8 = 3000 a a = 1.2 m/s² This essentially means that the net force on the elevator is making it move up with an acceleration of 1.2 m/s² See my lecture notes for...
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Equate F (net) = ma

Then    T - mg = ma   (assume all vectors in + Y direction as positive)

           33000 - 3000 X 9.8 = 3000 a

           a = 1.2 m/s²

This essentially means that the net force on the elevator is making it move up with an acceleration of 1.2 m/s²

See my lecture notes for a better understanding

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Tutor

M = 3000 kg, g = 9.8 m/s ,T = 33000 a = ? Ma = Mg - T 3000 * a = 3000 * 9.8 - 33000 3000a = 29400 - 33000 3000a = - 3600 a = - 1.2 m/s Therefore, the elevator will move up with an acceleration of 1.2 m/s.
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