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 4.00×107 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.
Step 1 of 5:
Zorch tries to increase the time period of Earth’s rotation by slowing down the angular speed. He exerts an opposing parallel force at the equator for longer time. We are going to calculate the time required to slow down the Earth’s rotation by the force exerted. This is done by the methods involving equation of rotational motion.
The force exerted
The radius of Earth
The initial time period of Earth
The final time period of Earth
The mass of Earth