Question

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 merry-go-round. He jumps and lands on the edge of the merry-go-round. What is the angular speed of the merry-go-round once Boris lands on it? ANSWER: 5.9 rad/s

B) After landing, Boris walks to the center of the merry-go-round. What is the angular speed of the merry-go-round when he gets to the center? ANSWER: 8 rad/s

C) While Boris is in the center of the merry-go-round, Angelica runs up with a speed of 7 m/s tangentially in the same direction the merry-go-round is spinning, jumping onto the edge of the merry-go-round. What is the angular speed of the merry-go-round after Angelica lands on it?

D) Angelica stays in place while Boris walks back to the edge of the merry-go-round. What is the angular speed of the merry-go-round when he gets there?

Answer #1

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...

Two children, Angelica (mass 35 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.
a) Angelica starts spinning the merry-go-round, giving it an
angular velocity of 7 rad/s , then she stops pushing it. Boris runs
with a speed of 7 m/s directly toward the center of the...

Two children, Angelica (mass 30 kg ) and Boris (mass 50 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.
A) Angelica starts spinning the merry-go-round, giving it an
angular velocity of 7 rad/s , then she stops pushing it. Boris runs
with a speed of 8 m/s directly toward the center of the...

Two children, Angelica (mass 30 kg ) and Boris (mass 50 kg ),
are playing on a merry-go-round (which you can assume is a solid
disk with mass 250 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 8 rad/s , then she stops pushing it. Boris
runs with a speed of 6 m/s directly toward the center of...

Two children, Angelica (mass 25 kg) and Boris (mass 50 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.
Part A: Angelica starts spinning the merry-go-round, giving it
an angular velocity of 8 rad/s, then she stops pushing it. Boris
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