ic_sol_w07d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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____________________________________ ____________________________________ MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 TEAL Fall Term 2004 In-Class Problems 22-23: Mechanical Energy Solution Section ______ Table and Group Number ______________________ Names ____________________________________ Hand in one solution per group. We would like each group to apply the problem solving strategy with the four stages (see below) to answer the following two problems. I. Understand – get a conceptual grasp of the problem II. Devise a Plan - set up a procedure to obtain the desired solution III. Carry our your plan – solve the problem! IV. Look Back – check your solution and method of solution 1
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Problem 22: Escape Velocity and Mechanical Energy The asteroid Toro, discovered in 1964, has a radius of about R = 5.0 km and a mass of about m t = 2.0 × 10 15 kg . Let’s assume that Toro is a perfectly uniform sphere. What is the escape velocity for an object of mass m on the surface of Toro? Could a person reach this speed (on Earth) by running? Solution: The only potential energy in this problem is the gravitational potential energy. We choose the zero point for the potential energy when the object and Toro are an infinite distance ) apart, U gravity (r 0 = ∞≡ 0 . Then the potential energy when the object and Toro are an infinite distance r apart is given by Gm m t U gravity (r) = with U gravity (r = ) 0 . 0 r The expression escape velocity refers to the minimum velocity necessary for the object to
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This note was uploaded on 04/22/2011 for the course PHYSICS 1441 taught by Professor Spurlock during the Spring '10 term at UT Arlington.

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ic_sol_w07d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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