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Answer to Question #727 in Mechanics | Relativity for Brian

Question #727
An elevator starts from rest with a constant
upward acceleration and moves 1m in the first
1.5 s. A passenger in the elevator is holding a
9.6 kg bundle at the end of a vertical cord.
The acceleration of gravity is 9.8 m/s2 .
What is the tension in the cord as the ele-
vator accelerates?
Answer in units of N.
Expert's answer
From the equation of the motion we can get the acceleration of the elevator:h = x0+ v0t + at2/2; v0=0, x0=0;thusa = 2h/t2 = 2*1/1.52 = 0.9 m/s2. Then we can find the tension in the cord:
T = mg + ma = 9.6 (9.8 + 0.9) = 102.7 N
Answer: 102.7 N.

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Comments

Assignment Expert
16.02.12, 16:06

Because we have gravity force and elevator acting on the object and gravity also contributes into value of tension

Lila
16.02.12, 02:41

why does T=mg+ma instead of just T=ma?

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