Question

Two children

(*m* = 28.0 kg

each) stand opposite each other on the edge of a merry-go-round.
The merry-go-round, which has a mass of 1.72 ? 10^{2} kgand
a radius of 1.4 m, is spinning at a constant rate of 0.44 rev/s.
Treat the two children and the merry-go-round as a system.

(a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.)

(b) Calculate the total kinetic energy of the system.

(c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system.

Answer #1

Two children (m = 27.0 kg each) stand opposite each
other on the edge of a merry-go-round. The merry-go-round, which
has a mass of 1.66 ? 102 kg and a radius of 1.6 m, is
spinning at a constant rate of 0.38 rev/s. Treat the two children
and the merry-go-round as a system.
(a) Calculate the angular momentum of the system, treating each
child as a particle. (Give the magnitude.)
kg · m2/s
(b) Calculate the total kinetic energy of...

Three children are riding on the edge of a merry-go-round that
is 105 kg, has a 1.60-m radius, and is spinning at 22.0 rpm. The
children have masses of 22.0, 28.0, and 33.0 kg. If the child who
has a mass of 28.0 kg moves to the center of the merry-go-round,
what is the new angular velocity in rpm? Ignore friction, and
assume that the merry-go-round can be treated as a solid disk and
the children as points.

Three children are riding on the edge of a merry-go-round that
is 105 kg, has a 1.70-m radius, and is spinning at 24.0 rpm. The
children have masses of 22.0, 28.0, and 33.0 kg. If the child who
has a mass of 28.0 kg moves to the center of the merry-go-round,
what is the new angular velocity in rpm? Ignore friction, and
assume that the merry-go-round can be treated as a solid disk and
the children as points.

Three children are riding on the edge of a merry-go-round that
is a solid disk with a mass of 95.8 kg and a radius of 1.72 m. The
merry-go-round is initially spinning at 5.84 revolutions/minute.
The children have masses of 29.0 kg, 28.2 kg and 33.6 kg. If the
child who has a mass of 28.2 kg moves to the center of the
merry-go-round, what is the new angular velocity in
revolutions/minute?

Three children are riding on the edge of a merry-go-round that
is 142 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The
children have masses of 22.4, 29.0, and 38.8 kg. If the child who
has a mass of 38.8 kg moves to the center of the merry-go-round,
what is the new angular velocity in rpm?

Three children are riding on the edge of a merry-go-round that
is 142 kg, has a 1.60 m radius, and is spinning at 19.3 rpm. The
children have masses of 22.4, 30.5, and 34.8 kg. If the child who
has a mass of 34.8 kg moves to the center of the merry-go-round,
what is the new angular velocity in rpm?

Three children are riding on the
edge of a merry-go-round that is a disk of mass 92 kg, radius 1.4
m, and is spinning at 23 rpm. The children have masses of 24 kg,
28.4 kg, and 34.2 kg.
Randomized VariablesM = 92 kg
m1 = 24 kg
m2 = 28.4 kg
m3 = 34.2 kg
r = 1.4 m
f = 23 rpm
If
the child who has a mass of 28.4 kg moves to the center of the...

A 2.8-m-diameter merry-go-round with rotational inertia 110
kg?m2 is spinning freely at 0.60 rev/s . Four 25-kg children sit
suddenly on the edge of the merry-go-round.
a.) Find the new angular speed.
b.) Determine the total energy lost to friction between the
children and the merry-go-round.

Two children, Angelica (mass 30 kg ) and Boris (mass 40 kg ),
are playing on a merry-go-round (which you can assume is a solid
disk with mass 225 kg and radius 1.5m). Assume that any friction
on the axle of the merry-go-round is negligible.
A) Angelica starts spinning the merry-go-round, giving it an
angular velocity of 8 rad/s , then she stops pushing it. Boris runs
with a speed of 9 m/s directly toward the center of the...

Two children, Angelica (mass 25 kg ) and Boris (mass 40 kg ),
are playing on a merry-go-round (which you can assume is a solid
disk with mass 200 kg and radius 1.5m). Assume that any friction
on the axle of the merry-go-round is negligible.
Part A) Angelica starts spinning the merry-go-round, giving it
an angular velocity of 5 rad/srad/s , then she stops pushing it.
Boris runs with a speed of 9 m/sm/s directly toward the center of...

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