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…
Mar 2, 2021
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SOLVED: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) .
SOLVED:Assume the resistive force acting on a speed skater is propor…
Mar 21, 2021
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SOLVED:Suppose that the upward force of air resistance on a falling object is proportional to the square of the velocity. For this case, the velocity can be computed as v(t)=√((g m)/(cd))tanh (√((g cd)/(m)) t) where cd= a second-order drag coefficient. (a) If g=9.8 m / s^2, m= 68.1 kg and cd=0.25 kg / m, use analytical integration to determine how far the object falls in 10 s. (b) Make the same evaluation, but evaluate the integral with the multiple-segment trapezoidal rule. Use a sufficient
SOLVED:Suppose that the upward force of air resistance on a falling …
May 12, 2020
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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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