Question

Two children (m = 27.0 kg each) stand opposite each other on the edge of a...

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 the system.
J

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

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two children (m = 28.0 kg each) stand opposite each other on the edge of a...
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 ? 102 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...
Two children, Angelica (mass 30 kg ) and Boris (mass 40 kg ), are playing on...
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...
Ben and Jerry are standing at the center of a 134 kg merry-go-round of radius 1.30...
Ben and Jerry are standing at the center of a 134 kg merry-go-round of radius 1.30 m that is already spinning at 3.00 rad/s. They proceed to walk in opposite directions toward the edge of the merry-go-round. If Ben reaches the edge while Jerry is halfway between the center and the edge, what will be the new angular velocity (in rad/s) of the merry-go-round? Assume Ben and Jerry can be modeled as point masses of 32.0 kg and 21.0 kg,...
Two children, Angelica (mass 25 kg ) and Boris (mass 40 kg ), are playing on...
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...
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...
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...
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...
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 runs with a speed of 6 m/s directly toward the center of the merry-go-round. He jumps...
A 2.8-m-diameter merry-go-round with rotational inertia 110 kg?m2 is spinning freely at 0.60 rev/s . Four...
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.
Three children are riding on the edge of a merry-go-round that is 142 kg, has a...
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?