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Referring to the previous problem, (a) does the kinetic
Chapter 11, Problem 72P(choose chapter or problem)
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?
Questions & Answers
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.