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Consider an object that is coasting horizontally (positive
Chapter 2, Problem 2.40(choose chapter or problem)
Consider an object that is coasting horizontally (positive x direction) subject to a drag force \(f=-b v-c v^{2}\). Write down Newton's second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t. Explain the time dependence for t large. (Which force term is dominant when t is large?)
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QUESTION:
Consider an object that is coasting horizontally (positive x direction) subject to a drag force \(f=-b v-c v^{2}\). Write down Newton's second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t. Explain the time dependence for t large. (Which force term is dominant when t is large?)
ANSWER:Step 1 of 4
The equation of motion according to Newton’s second law is given by,
\(f=m \dot{v}\) ...................(1)
Here, f is the drag force, m is the mass, and \(\dot{v}=\frac{d v}{d t}\) is the acceleration.
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