301 (S999) Exam #3

301 (S999) Exam #3 - Physics 301 (Spring 1999) Third Exam...

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Physics 301 (Spring 1999) Third Exam (March 26, 1999) Name 1. [10 points total] Consider a thin metal spherical shell of mass M and radius b. A. [5 pts] Find the gravitational potential at the center of the spherical shell. Show your work. B. [5 pts] Would the gravitational potential at a location slightly away from the center of the shell be greater than, less than, or equal to the gravitational potential at the center of the shell. Explain your reasoning. 2. [10 points] A uniformly solid sphere of mass M and radius R is fixed a distance h above a thin infinite sheet of surface mass density σ . With what force does the sphere attract the sheet? Show your work and explain your reasoning.
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3. [15 points] You are standing on the surface of the earth and you throw a ball directly up into the sky. Because you have an incredible arm, the ball leaves your hand traveling at 8 km/s!!! Ignore the fact that the earth is rotating. Ignore air resistance. Indeed, ignore everything in the universe except the gravitational pull on the ball due to the earth. How far from the
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301 (S999) Exam #3 - Physics 301 (Spring 1999) Third Exam...

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