Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth's axis. Consequently an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express your answer in terms of h, g, and the angular speed w of the Earth. ignore air resistance and assume the free-fall acceleration is constant over this range of heights. Ax- (b) Evaluate the eastward displacement (in cm) for h- 44.0 m. cm (c) in your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? O Yes O No
Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth's axis. Consequently an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express your answer in terms of h, g, and the angular speed w of the Earth. ignore air resistance and assume the free-fall acceleration is constant over this range of heights. Ax- (b) Evaluate the eastward displacement (in cm) for h- 44.0 m. cm (c) in your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? O Yes O No
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section5.3: Nonuniform Circular Motion
Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...
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