Related questions with answers

Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 28.0 h by exerting an opposing force at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can only exert a force of $4.00\times10^7$ N (a little greater than a Saturn V rocket's thrust). How long must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.) Explicitly show how you follow the steps found in Problem-Solving Strategy for Rotational Dynamics.

Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f ( x ) = - 2 x ^ { 4 } + 2 x ^ { 3 }

Find the derivative of the function:

y = \frac { 1 } { \left( 4 x ^ { 4 } + x \right) ^ { 3 / 2 } }

Question

Zorch, an archenemy of Rotation Man, decides to slow Earth's rotation to once per 28.0 h by exerting an opposing force at and parallel to the equator. Rotation Man is not immediately concerned, because he knows Zorch can only exert a force of
$4.00 × 10^7 N$
(a little greater than a Saturn V rocket's thrust). How long must Zorch push with this force to accomplish his goal? (This period gives Rotation Man time to devote to other villains.)

Solution

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Step 1

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First, we calculate the torque $\left(\tau\right)$ produced by the force $\left(F\right)$ . We also need to calculate the moment of inertia of Earth about its axis $\left(I_\text{Earth}\right)$ .