A 2.00kg object is dropped from rest. There is a velocity dependent damping force that the...
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A 2.00kg object is dropped from rest. There is a velocity dependent damping force that the air applies to the object. The magnitude of the damping force is of the form Fdamp = b[exp(a|v|)-1] where a and b are constants and this force is directed upwards. (a) What would be the appropriate units of b and a? Explain how you know these are the correct units. (b) Apply Newton's 2nd Law to this problem. (a) Your answer to part (b) is a separable differential equation. Solve this differential equation so that you can find the velocity of the thrown object as a function of time (assuming that b and a are known constants). NOTE: the answer requires that the velocity at time t = 0 sec is equal to zero because it was dropped from rest. (c) How long will it take for the thrown object to reach its maximum speed, if b expressed in SI units has a magnitude of 0.0500 and a has a magnitude of 0.367 (SI units)? What is the maximum speed? A 2.00kg object is dropped from rest. There is a velocity dependent damping force that the air applies to the object. The magnitude of the damping force is of the form Fdamp = b[exp(a|v|)-1] where a and b are constants and this force is directed upwards. (a) What would be the appropriate units of b and a? Explain how you know these are the correct units. (b) Apply Newton's 2nd Law to this problem. (a) Your answer to part (b) is a separable differential equation. Solve this differential equation so that you can find the velocity of the thrown object as a function of time (assuming that b and a are known constants). NOTE: the answer requires that the velocity at time t = 0 sec is equal to zero because it was dropped from rest. (c) How long will it take for the thrown object to reach its maximum speed, if b expressed in SI units has a magnitude of 0.0500 and a has a magnitude of 0.367 (SI units)? What is the maximum speed?
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Part a Units of b and a b Force has units of kg ms2 The exponential argument v has units of ms The d... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 978-0133977981
14th edition
Authors: Hugh D. Young, Roger A. Freedman
Posted Date:
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