TA: Tomoyuki Nakayama Monday, March 29 th , 2010 PHY 2048: Physic 1, Discussion Section 3081 Quiz 8 (Homework Set # 11) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ Assume a planet is a uniform sphere of radius R and mass M that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple of mass m anywhere along the tunnel or outside the sphere. Let F R be the magnitude of the gravitational force on the apple when it is located at the planet’s surface. a) How far from the surface is there a point where the magnitude of the gravitational force on the apple is (1/3) F R if we move the apple away from the planet. Let r be the position of the apple measured from the center of the sphere. Since r>R, the sphere exerts force on the apple as if all of its mass were concentrated at the center. We have
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 01/15/2012 for the course PHY 2048 taught by Professor Field during the Fall '08 term at University of Florida.