Chapt. 6Newton’s Laws and Dynamics II73d) You measure the terminal speed to be 3.00 m/s.What is the constantband thetime constant (ore-folding time)τfor the styrofoam ball?The styrofoam has massm= 0.0100 kg.e) At what time does the styrofoam ball reach 90 % of its terminal speed?f) Say that instead of the linear drag force, we had the general power law drag forceF=bvp,wherep >0.What is the formula for the terminal speed in this case for the styrofoamball? What happens to the styrofoam ifp= 0?006 qfull 00720 2 3 0 moderate math: linear drag force 2Extra keywords:Can’t be used on a test until students know exponential derivatives10. The formula for the velocity of a body accelerating from rest acted on by a constant drivingforceFdriveand the linear drag force (magnitudebv) isv=vT(1−e−t/τ),wherevTis the terminal speed andτis the time constant ore-folding time.The system isone-dimensional in the direction of the driving force.
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