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Referring to the previous problem, (a) does the kinetic

Chapter 11, Problem 72P

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QUESTION:

Problem 72P

Referring to the previous problem, (a) does the kinetic energy of the mass-student-stool system increase, decrease, or stay the same as the mass is caught? (b) Calculate the initial and final kinetic energies of the system.

REFERENCE PROBLEM:

A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.1 kgm2. A second student tosses a 1.5-kg mass with a speed of 2.7 m/s to the student on the stool, who catches it at a distance of 0.40 m from the axis of rotation. What is the resulting angular speed of the student and the stool?

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QUESTION:

Problem 72P

Referring to the previous problem, (a) does the kinetic energy of the mass-student-stool system increase, decrease, or stay the same as the mass is caught? (b) Calculate the initial and final kinetic energies of the system.

REFERENCE PROBLEM:

A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.1 kgm2. A second student tosses a 1.5-kg mass with a speed of 2.7 m/s to the student on the stool, who catches it at a distance of 0.40 m from the axis of rotation. What is the resulting angular speed of the student and the stool?

ANSWER:

Step 1 of 8

Part (a)

Consider a student is sitting on a piano stool which can be rotated without friction. The system now has a kinetic energy if it is turned. Assume that another student tosses a mass to the student and he catches it at a distance. Now the radius of the rotating system got increased hence the kinetic energy of the system reduces. 

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