78. I A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. John runs around the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. What is the merry-go- round's angular speed, in rpm, after John jumps on?

78. I A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. John runs around the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. What is the merry-go- round's angular speed, in rpm, after John jumps on?

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)...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

#78

the frictionless merry-go-round of Figure 9.27. The merry-go-
round is also at rest. Joey then begins to run around the perim-
eter of the merry-go-round, finally reaching a constant speed,
measured relative to the ground, of 5.0 m/s. What is the final
angular speed of the merry-go-round?
78. II A 3.0-m-diameter merry-go-round with a mass of 250 kg is
spinning at 20 rpm. John runs around the merry-go-round at
5.0 m/s, in the same direction that it is turning, and jumps onto
the outer edge. John's mass is 30 kg. What is the merry-go-
round's angular speed, in rpm, after John jumps on?
79. II Disk A, with a mass of 2.0 kg and a radius of 40 cm, rotates
clockwise about a frictionless vertical axle at 30 rev/s. Disk B,
also 2.0 kg but with a radius of 20 cm, rotates counterclock-
wise about that same axle, but at a greater height than disk A,
at 30 rev/s. Disk B slides down the axle until it lands on top
of disk A, after which they rotate together. After the collision,
what is their common angular speed (in rev/s) and in which
AHME

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