Question

You are designing a high-speed elevator for a new skyscraper.
The elevator will have a mass limit of 2400 kg (including
passengers). For passenger comfort, you choose the maximum ascent
speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and
the maximum acceleration magnitude to be 2.40 m/s^{2}.
Ignore friction.

a) What is the maximum upward force that the supporting cables exert on the elevator car?

b) What is the minimum upward force that the supporting cables exert on the elevator car?

c) What is the minimum time it will take the elevator to ascend from the lobby to the observation deck, a vertical displacement of 640 m?

d) What is the maximum value of a 60.0-kg passenger’s apparent weight during the ascent?

e) What is the minimum value of a 60.0-kg passenger’s apparent weight during the ascent?

f) What is the minimum time it will take the elevator to descend to the lobby from the observation deck, a vertical displacement of 640 m?

Answer #1

You stand on a scale in an elevator (calibrated to
measure mass).
a. Draw a picture of you and all forces acting on
you.
b. Draw a new picture of the scale and all forces acting
on it
(when you are on top of it).
c. How are the normal forces on you from the scale and
on the scale from you related?
d. Convert weight into mass (1.00 kg = 2.20 lbs), use
this mass for all calculations.
e....

→A cart with a mass fo 1.5 kg needs to complete a 1.5 meter
radius loop the loop. What is the minimum velocity? a. 3.83 b. 12.2
c. 15.62 d. 14.7 e. 9.95
→A 30.0 N force is applied to the edge of a sphere that has a
weight of 45.0 N and a radius of 40.0 cm. The sphere is at rest
before the applied force. What will be the angular velocity of the
sphere as a result of...

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