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While in a 101 story building, you go in the elevator with a scaleand stand on t

ID: 1758215 • Letter: W

Question

While in a 101 story building, you go in the elevator with a scaleand stand on the scale as it goes up and down the building. thescale reades 150 lb before the elevator moves and then the readingvary between 120 lb and 1700 lb.        a. What is themagnitude of the acceleration as the elvator starts upwards?        b. What is themagnitude of the acceleration as the elevator brakes to astop?        a. What is themagnitude of the acceleration as the elvator starts upwards?        b. What is themagnitude of the acceleration as the elevator brakes to astop?

Explanation / Answer

We have: the scale before elevator moves = 150 *4.448N                                                                       = 667.23 N =>Mass of the person M = 667.23 / 9.8                                         = 68 kg According to problem , the scale when the elevator movesupward with an accleration a is             = 1700 lb             = 1700 * 4.448 N             = 7561.6N we know: mg + ma = 7561.6                   =>   ma = 7561.6 -667.23                                =6894.37             =>         a= 101.38 m / s 2 the scale when the elevator moves don ward with anaccleration a ' is = 120 lb                                                                                                               = 533.76 N                 => mg - ma = 533.76                =>   ma = 533.76+ 667.23                             = 1201             =>    a = 17.66 m / s 2                =>   ma = 533.76+ 667.23                             = 1201             =>    a = 17.66 m / s 2