3. You (mass 5 kg are standing on a scale\" while riding in an elevator. A frien

Question

3. You (mass 5 kg are standing on a scale" while riding in an elevator. A friend is nearby in the elevator (but not standing on the scale). and in some of the cases below, the friend applies an upward or downward force on you. NOTE: A "bathroom scale" always reads the of the of the floor on you. For the following questions that ask for a "scale reading lease provide normal force with M nits, N ma or mass units. a. (2 pts) The elevator is ascending at constant speed of 1.0 m/s. and your friend is not touching you. What is the reading on the scale? Show your work. While the elevator is accelerating upward at constant acceleration of 10 m/s your nearby friend b. (4 pts simultaneously pushes vertically downward on your shoulders with 100. N of force. What is the reading on the scale? Show your work. pts) At a time when the scale reading is 445 N. and your friend is not touching y what are the magnitude c. (3 and direction of the elevator's acceleration Show your work

Explanation / Answer

a) the reading on the scale = 50 X (9.8 + 1)= 540

b) the reading on the scale = 50 X (9.8 + 1) + 100 = 640N

c) Force = 445N
50 X (9.8 - a) = 445
Implies = 9.8 - a = 445/50
a = 0.9 m/s^2 the elevator is moving downwards
Hence:elevator is in fall free mode then effective acceleration = 0 and hence reading on the scale = 0N

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