A cockroach of mass m lies on the rim of a uniform disk of mass 7 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.324 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (a) w = (b) KIK -

A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m. What is the angular momentum, in kg m2/s, of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 × 104 s?

A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of wo. Then the cockroach walks halfway to the center of the disk. NOTE: Give your answer in terms of the variables given. (a) What then is the angular velocity of the cockroach-disk system? 20 Wf = 17 (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? NOTE: Enter an exact answer. K = 2.35 Ко

A cockroach of mass m lies on the rim of a uniform disk of mass 8.00m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.320 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then iş the angular velocity of the cockroach-disk system? rad/s (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (c) What accounts for the change in the kinetic energy? (Select all that apply.) O cockroach does negative work on the disk O gravity O centripetal force O friction O centrifugal force O cockroach does positive work on the disk

What is the angular momentum of a solid disk at t=2.5s if its mass is 0.25kg, its radius is 4m, and the torque applied to the disk is 1 N m?

A boy of mass m runs with speed v tangentially toward a merry-go-round of mass M and radius R, which is rotating with angular speed w. If the boy jumps on the merry-go-round, find the angular speed with which the system rotates once the boy is on top of the merry-go-round.

Three children are riding on the edge of a merry-go-round that is a disk of mass 110 kg, radius 1.5 m, and is spinning at 18 rpm. The children have masses of 21.2 kg, 28.4 kg, and 33.8 kg.  If the child who has a mass of 28.4 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. A star with a of mass of 2.0x1032 kg and radius 7.0x108 m is initially rotating at a rate of once every 30 days. The star collapses into a neutron star with the same mass but a new radius of 16,000 m. What is the angular speed of the star? (Give your answer in rotations per second.) Assume the star is a solid sphere: Isphere = 2/5 MR2.   The Crab Nebula (shown below) formed from a nearby supernova (6000 light years away). Chinese astronomers observed the event in the year 1054 and since that time the nebula has been expanding into what it appears like today. The Crab Pulsar is a neutron star at the center of the nebula and the remains of the original supernova.

While you are on an archaeological dig in Egypt, you observe a scarab beetle of mass m lies on the rim of a uniform disk of mass 3.80m (3.8 times the mass of the beetle) that can rotate freely about its center like a merry-go-round. Initially, the beetle and disk rotate together with an angular velocity of 0.230 rad/s. Then the beetle walks halfway to the center of the disk. (a) what then is the angular velocity of the beetle-disk system?

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.947 rad/s. You, with a mass of 65.7 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 20.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.9 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 91.1 kg and radius 1.95 m. Calculate the total angular momentum of the system. total angular momentum: kg · m?/s