examII - Problem 1. (32 points) Answer the following...

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(32 points) Answer the following questions and give brief explanations for your answers . Just stating the answer without explanation is not sufficient. Note, there are also questions on the back of this page. Answer all the parts! Each question is worth 4 points unless stated otherwise. (1) x (2) x (3) x (a) A uniform, solid disk has a series of holes drilled through it producing the shapes labeled 1, 2, and 3 at the right. Rank the order of the x position of the center of mass, x cm , of the shapes. (b) A ping pong ball (very light) and a bowling ball (very heavy) have the same momenta. (1) Which ball has the larger speed? (2) Which ball has the larger kinetic energy? (c) Suppose a new force is discovered that has a potential energy given by U = - kx 2 / 2. (1) Find an expression for the force, F ( x ). (2) Compare this force to Hooke’s law for a spring. How is similar and how is it different? M O R x y φ (d) A total mass M is spread along the arc of a circle of radius R and of total angular size φ = π/ 3. Answer the following in terms of M , R , and constants, as appropriate. (1) What is the moment of inertia, I O , about an axis through point O and perpendicular to the page? (2) It can be shown that the position of the center of mass of this arc is ± r cm = (3 R/π ı (you do not have to show this). What
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This homework help was uploaded on 04/08/2008 for the course PHYS 121 taught by Professor Kernan during the Spring '08 term at Case Western.

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examII - Problem 1. (32 points) Answer the following...

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