A man stands on a scale in an elevator that is accelerating upward. The scale reads 927.0 N. When he picks up a 12.0 kg box, the scale reads 1050.6 N. What is the man's mass?
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Answer:The acceleration is found from ma = m(g + A) = 1226 - 941 = 285 N the augmented weight of the box; so that A = 285/m - 9.8 = 285/22.4 - 9.8 = 2.92 m/s^2 ANS c).
The augmented weight of the man is w = 941 = M(g + A); so M = 941/(9.8 + 2.92) = 73.97798742 = 74 kg is the man's mass. ANS a)
And his weight is then W = MA = 74*9.8 = 725.2 Newtons. ANS b).
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