Assume that the earth is a uniform sphere and that its path aroundthe sun is cir

Question

Assume that the earth is a uniform sphere and that its path aroundthe sun is circular. (a) Calculate the kinetic energy that the earthhas because of its rotation about its own axis. For comparison, thetotal energy used in the United States in one year is about9.33 x 109 J.
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(b) Calculate the kinetic energy that the earth has because of itsmotion around the sun.
J
(a) Calculate the kinetic energy that the earthhas because of its rotation about its own axis. For comparison, thetotal energy used in the United States in one year is about9.33 x 109 J.
J

(b) Calculate the kinetic energy that the earth has because of itsmotion around the sun.
J

Explanation / Answer

Data:    M = mass of earth      r = distance from sun toearth     = 2 /T      T = 365 * 24 *60*60 sec .
(a) kinetic energy due to rotation    M = mass of earth      r = distance from sun toearth     = 2 /T      T = 365 * 24 *60*60 sec .                K= I2 /2 .                   = Mr2 *2 / 2     
(b)The total kinetic energy = spinning kinetic energy +orbital kinetic energy.                                            = [(2Mr2*2) / 5] + K .
Substitute values.

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