Question

1. A person of 70 kg mass is inside an elevator. Find the
apparent weight of the person when the elevator goes up by 2
m/s^{2} and 2 m/s^{2} down.

2. An object by 2 kg mass orbits the circle by a radius of 5 m with an angular velocity of 10 rpm. What is the centripetal force exerted on the object?

Answer #1

A person with mass mp = 70 kg stands on a spinning
platform disk with a radius of R = 2.04 m and mass md =
186 kg. The disk is initially spinning at ω = 2 rad/s. The person
then walks 2/3 of the way toward the center of the disk (ending
0.68 m from the center).
What is the total moment of inertia of the system about the
center of the disk when the person stands on the...

Sarah stands on a bathroom scale inside an elevator. Sarah's
mass is 50 kg. What does the scale read in Newton if the elevator
moves upward with constant velocity of 1.5 m/s.? What does the
scale read if the elevator moves upward for a short period of time
with the acceleration of 2 m/s2? draw a free body diagram and show
your work. (20 points) (g=9.8 m/s2 )
Please draw the diagram!

A person of mass 70 kg stands at the center of a rotating
merry-go-round platform of radius 3.2 m and moment of inertia 860
kg⋅m2 . The platform rotates without friction with angular velocity
0.95 rad/s . The person walks radially to the edge of the platform.
A. Calculate the angular velocity when the person reaches the edge.
B. Calculate the rotational kinetic energy of the system of
platform plus person before and after the person's walk.

Description:
A single mass m1 = 3.9 kg hangs from a spring in a
motionless elevator. The spring is extended x = 11 cm from its
unstretched length.
the spring constant of the spring is 347.45 N/m
Now, three masses m1 = 3.9 kg, m2 = 11.7
kg and m3 = 7.8 kg hang from three identical springs in
a motionless elevator. The springs all have the same spring
constant that you just calculated above.
the force the top spring...

1. A mass of 2.8 kg is suspended from the ceiling of an elevator
by a rope. What is the tension in the rope when the elevator moves
in the following ways?
(a) accelerates upward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
(b) accelerates downward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
2. A toboggan with two riders has a total mass of 88.0 kg. A
third person is pushing the toboggan with...

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/s2.
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...

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 3.20 m/s2. Ignore
friction. What is the maximum upward force that the supporting
cables exert on the elevator car? What is the minimum upward force
that the supporting cables exert...

A person with mass mp = 77 kg stands on a spinning
platform disk with a radius of R = 2.22 m and mass md =
195 kg. The disk is initially spinning at ω = 1.9 rad/s. The person
then walks 2/3 of the way toward the center of the disk (ending
0.74 m from the center).
1)
What is the total moment of inertia of the system about the
center of the disk when the person stands on...

1.
Aoife is pushing on a large box, which has a mass of 15 kg. The
large box, in turn, pushes against a smaller box, which has a mass
of 5 kg. Aoife pushes with a force of 160 N. The bottoms of the
boxes are perfectly frictionless, but Aoife's shoes don't slip on
the ground at all. Find the contact force between the boxes.
2.
Aoife gets in an elevator with the two boxes from the first
question stacked...

1. A 55.0 kg person rides in an elevator while standing on a
scale. The elevator is traveling downward but slowing down at a
rate of 1.5 m/s^2. The reading on the scale is closest to...
2. A batter hits a 130-gramm baseball that was approaching him
horizontally at 45.0 m/s and, as a result, the ball leaves the bat
at 45.0 m/s in the direction of the pitcher. What is the magnitude
of the impulse delivered to the baseball?...

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