29%. Physics Serway, Jewett 9th 46. A sate of mass m, originally on the surface

Question

29%. Physics Serway, Jewett 9th 46. A sate of mass m, originally on the surface of the Earth, is placed into Earth orbit at an altitude h. (a) Assuming a circular orbit, how long does the sat- ellite take to complete one orbit?(b) What is the sat- ellite's speed? (c) What is the minimum energy input necessary to place this satellie orbit? Ignore air resistance b iclude the effect of the planet's daily rotation. Represent the mass and radius of the Earth as Me and R, respectively P13.46 The gravitational torce supplies the needed centripetal acceleration. (RE +h) R (a) T- GM (b) M energy input is This choice has the object starting with energy andU-0Mm 1.00 day 400s and UGM 86 400 s Thus, 1 GMGM.m 1 2 Rh) R+h 2 (86 400 s)R GM m 2R, (R, + h)] (86 400 s)

Explanation / Answer

The reason is that in case of motion of macroscopic objects, we are not concerned with the thermodynamiccal parametres but only the mechanical parametres. Therefore, change in energy here means the change in Mechanical energy which is the sum of kinetic and potential energy. There is no role of temperature in this context hence no heat, work or internal energy involved.

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