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For a large object such as a car or a baseball moving through air at ordinary speeds, how does the magnitude of the drag force depend on the object's speed?
AIt is proportional to the square of the speed
BIt is proportional to the speed itself, not its square
CIt is completely independent of speed
DIt is inversely proportional to the speed
Answer & Solution
Correct answer: A. It is proportional to the square of the speed
1. For large, fast-moving objects like cars and baseballs, drag follows a specific speed dependence.
2. The drag force is found to be proportional to the square of the speed of the object.
3. That means doubling the speed quadruples the drag force, not just doubling it.
4. This case is contrasted later with Stokes' law, which applies only to small, slow objects and gives a different, direct proportionality to speed.
_Source: OpenStax College Physics (CC BY 4.0), Ch 5 "Further Applications of Newton's Laws: Friction, Drag, and Elasticity", section 5.2 Drag Forces_
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