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A rough-surfaced turntable mounted on frictionless bearings initially rotates at 1.8 rev/s about its vertical axis. The rotational inertia of the turntable is 0.020kg⋅m2 . A 200-g lump of putty is dropped onto the turntable from 0.0050 m above the turntable and at a distance of 0.15 m from its axis of rotation. The putty adheres to the surface of the turntable. (a) Find the initial kinetic energy of the turntable. (b) What is the final rotational speed of the system (the lump of putty and turntable)? (c) What is the final linear speed of the lump of putty? Find the change in kinetic energy of (d) the turntable, (e) the putty, and (f) the putty-turntable combination. How do you account for your answers?
Give three different ethical justifications for protecting a forest using an anthropocentric, a biocentric, and an ecocentric viewpoint.
Suppose that the first number of a sequence is x, in which x is an integer. Define a0=x;an+1=an/2 if an is even; an+1=3×an+1 if an is odd. Then, there exists an integer k such that ak=1. Write a program that prompts the user to input the value of x. The program output the integer k such that ak=1 and the numbers a0,a1,a2,…,ak. (For example, if x=75, then k=14, and the numbers a0,a1,a2,…,a14, respectively, are 75,226,113,340, 170,85,256,128,64,32,16,8,4,2,1.) Test your program for the following values of x:75,111,678,732,873,2048, and 65535.