6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg.m2. The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has horizontal velocity v of magnitude 12 m/s, at an angle 0= 37° with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught? O Ball )Child

6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg.m2. The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has horizontal velocity v of magnitude 12 m/s, at an angle 0= 37° with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught? O Ball )Child

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A child with a mass of 50 kg is on a circular frictionless platform with a mass of 100 kg. Treat the platform as a solid cylinder. The platform is initiallyrotating at a rate of 5 rmp (0.52 rad/s). The inner radius of the platform (where the child starts) is 2.0 m. The outer radius is 4.0 m.a. Determine the initial angular momentum of the system in kgm2/s. b. If the child moves from the inner to the outer radius, determine the new angular velocity of the system. c. While at the outside radius, the child catches a 2.0 kg ball travelling at 10 m/s perpendicular to the radius. Determine the final angularmomentum of the system.
A playground merry-go-round with a mass of 135 kg and a radius of 1.7 m is rotating with an angular frequency of 0.48 rev/s. m1 = 135 kgm2 = 21 kgωi = 0.48 rev/sr = 1.7 m What is the magnitude of its angular velocity, in radians per second, after a 21 kg child gets onto it by grabbing its outer edge? The child is initially at rest.
Suppose a star has a mass three times that of our sun (that is, the star's mass will be 6 x 1030 kg) and starts out as a sphere with an initial radius several times larger than our sun (3.48 x10° m). It is initially spinning with one revolution every 12 days. What is its angular momentum, in kg m2/s?
Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.7 m, and is spinning at 19 rpm. The children have masses of 21.6 kg, 27.6 kg, and 35 kg.M = 98 kgm1 = 21.6 kgm2 = 27.6 kgm3 = 35 kgr = 1.7 mf = 19 rpm If the child who has a mass of 27.6 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? f' =
A 97.5 kg97.5 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.55 rad/s1.55 rad/s. A monkey drops a 8.03 kg8.03 kg bunch of bananas vertically onto the platform. They hit the platform at 4545 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.1 kg21.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.95 m1.95 m.
A large turntable rotates about a fixed vertical axis, making one revolution in 6.00 ss. The moment of inertia of the turntable about this axis is 1300 kg⋅m2kg⋅m2. A child of mass 35.0 kgkg, initially standing at the center of the turntable, runs out along a radius. What is the angular speed of the turntable when the child is 2.50 mm from the center, assuming that you can treat the child as a particle?
A 3.8-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1300 kg⋅m2. Four people standing on the ground, each of mass 61 kg, suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
A figure skater has a mass of 65 kg and an angular momentum of 200 kg*m2/s during a camel spin. During this spin, the average radius of gyration changes from 0.33 meters to 0.65 meters in 0.62 seconds. What is the figure skater’s average angular acceleration in degrees/s2 during this 0.62 seconds?
A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?
A bird flies overhead from where you stand at an altitude of 310.0ĵ m and at a velocity horizontal to the ground of 14.0î m/s. The bird has a mass of 1.8 kg. The radius vector to the bird makes an angle ? with respect to the ground. The radius vector to the bird lies in the xy-plane. What is the bird's angular momentum (in kg · m2/s) about the point where you are standing? (Express your answer in vector form.)
A 87.9 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.53 rad/s. A monkey drops a 8.97 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.7 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.65 m.
A 82.1 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.69 rad/s. A monkey drops a 8.95 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.95 m.