2.01e18 and 2.24e18 are both incorrect. Uhgg Zorch, an archenemy of Superman, de

Question

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. s

Explanation / 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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