2.01e18 and 2.24e18 are both incorrect. Uhgg Zorch, an archenemy of Superman, de
ID: 1784718 • Letter: 2
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2.01e18 and 2.24e18 are both incorrect. Uhgg
Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 40.0 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.40 x 107 N rocket's thrust). Assume push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 x 1024 kg and its radius is 6.38 x 10 m.) 2.01e18X What is the rotational analog of Newton's Second Law? Did you consider the appropriate rotational kinematic equation? Check units for consistency. sExplanation / Answer
wi = 2pi / Ti = (2 x pi ) / (24 x 3600 s)
wi = 7.272 x 10^-5 rad/s
wf = 2pi / (40 x 3600) = 4.363 x 10^-5 rad/s
and net torque = I alpha
(R F) = (2 M R^2 / 5) alpha
4.40 x 10^7 = 0.4 x 5.98 x 10^24 x 6.38 x 10^6 x alpha
alpha = 2.883 x 10^-24 rad/s^2
Applying wf = wi - alpha t
t = 1 x 10^19 sec
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