You are standing on top of a scale that you brought inside an elevator that is stopped on the ground floor. You then press a button to go up to one of the higher floors. Call t = 0 the time just as the elevator begins to move. The elevator speeds up until a time, t1. After that, it continues travelling up at constant speed until a time, t2, when it starts to slow down. The elevator comes to a stop at a time, t3. a. Sketch the magnitude of the force from the scale on you as a function of time. Also note that you can assume that the elevator is only travelling vertically. Be sure to indicate the times t, t2, t3. b. Sketch the magnitude of your momentum as a function of time. Be sure to indicate the times t1, t2, t3. c. Would the area under the curve for the graph you made in part a. be larger, smaller, or equal to the magnitude of your weight times t3?
You are standing on top of a scale that you brought inside an elevator that is stopped on the ground floor. You then press a button to go up to one of the higher floors. Call t = 0 the time just as the elevator begins to move. The elevator speeds up until a time, t1. After that, it continues travelling up at constant speed until a time, t2, when it starts to slow down. The elevator comes to a stop at a time, t3. a. Sketch the magnitude of the force from the scale on you as a function of time. Also note that you can assume that the elevator is only travelling vertically. Be sure to indicate the times t, t2, t3. b. Sketch the magnitude of your momentum as a function of time. Be sure to indicate the times t1, t2, t3. c. Would the area under the curve for the graph you made in part a. be larger, smaller, or equal to the magnitude of your weight times t3?
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Transcribed Image Text:4. You are standing on top of a scale that you brought inside an elevator that is stopped on the ground floor.
You then press a button to go up to one of the higher floors. Call t = 0 the time just as the elevator begins
to move. The elevator speeds up until a time, t1. After that, it continues travelling up at constant speed
until a time, t2, when it starts to slow down. The elevator comes to a stop at a time, t3.
a. Sketch the magnitude of the force from the scale on you as a function of time. Also note that you can
assume that the elevator is only travelling vertically. Be sure to indicate the times t, t, t3.
b. Sketch the magnitude of your momentum as a function of time. Be sure to indicate the times t1, t2, t3.
c. Would the area under the curve for the graph you made in part a. be larger, smaller, or equal to the
magnitude of your weight times t3?
d. Describe how you could use one of the two graphs you made to find the distance you travelled from
t =0 until t = t3.
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