Assume the resistive force acting on a speed skater is proportional to the square of the skater's speed v and is given by f=-k m v^2, where k is a constant and m is the skater's mass. The skater crosses the finish line of a straight-line race with speed vi and then slows down by coasting on his skates. Show that the skater's speed at any time t after crossing the finish line is v(t)=vi /(1 k t vi) . | Numerade
Assume the resistive force acting on a speed skater is proportional to t…
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SOLVED:Moving through a liquid, an object of mass m experiences a resistive drag force proportional to its velocity, Fdrag =-b v, where b is a constant. (a) Find an expression for the object's speed as a function of time, when it starts from rest and falls vertically through the liquid. (b) Show that it reaches a terminal velocity m g / b.
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of a graph of resistive force versus squared speed. (c) Set the... | Filo
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An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton's third law the air exerts a force on the wings and airplane that is up and slightly backward (Fig. P6.94). The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, in
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