Hi, I have a test this afternoon and can not figure this ? out...Please any help

Question

Hi, I have a test this afternoon and can not figure this ? out...Please any help would be great!

As you walk into an elevator, step onto a scale, and push the up button. You recall that your normal weight is 625N. Start each of the following parts with a free-body diagram. A) If the elevator has an acceleration of magnitude 2.50 m/s2, what does the scale read? B) IF you start holding a 3.85kg package by a light vertical string, what is the tension in the string supporting the package?
As you walk into an elevator, step onto a scale, and push the up button. You recall that your normal weight is 625N. Start each of the following parts with a free-body diagram. A) If the elevator has an acceleration of magnitude 2.50 m/s2, what does the scale read? B) IF you start holding a 3.85kg package by a light vertical string, what is the tension in the string supporting the package?

Explanation / Answer

normal weight w = 625N. so mass m = w/g A) If the elevator has an acceleration of magnitude a = 2.50 m/s^2, what does the scale read? F - w = ma so F = w + wa/g = w(1 + a/g) = 784 N B) IF you start holding a M = 3.85 kg package by a light vertical string, what is the tension in the string supporting the package? N - Mg = Ma so N = M(g + a) = 47.4 N

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