Solution Found!
Zorch, an archenemy of Superman, decides to slow Earth’s
Chapter 4, Problem 16PE(choose chapter or problem)
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.
Questions & Answers
QUESTION:
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.
ANSWER:Step-by-step solution Step 1 of 2 Zorch, the archenemy of superman, decided to slow the Earth’s rotation to once per 28 hr instead of 24 hr, and for doing so, it exerts a force parallel to the equator of the earth. As the earth completes its rotation in every 24 hour, In a complete rotation the Earth revolves radians, So that the initial angular velocity of the Earth in radians per sec is, Also when the Zorch will apply the force, the Earth will take an hour to complete its rotation. So the final angular velocity of the Earth in radians per sec will be, Here and are the final as well as initial angular velocity of the Earth respectively. Now as the force is exerted by Zorch is on the median of the Earth, so due to this force a corresponding torque will also act and helps in the deceleration of the Earth’s rotation.