Question: An object falls under the influence of gravity and a drag force F d = -bv. (a) By applying Newtons second law, show that the
An object falls under the influence of gravity and a drag force Fd = -bv.
(a) By applying Newton’s second law, show that the acceleration of the object can be written a = dv/dt = g - (b/m)v.
(b) Rearrange this equation to obtain dv/(v - vt) = -(g/vt)dt, where vt = mg/b.
(c) Integrate this equation to obtain the exact solution
(d) Plot v versus t for vt = 60 m/s.
(1-e) = v,(1-e*) mg
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a From Newtons second law ma Fnet mg bv Divide both sides by m and replace a by dvdt to obtain th... View full answer
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