3. An object with mass m is dropped from rest. (a) Write an expression for the net force on the object, assuming that the downwards force (due to gravity) is proportional to the object's mass and the upwards force (due to air resistance) is proportional to the square of the object's velocity. (b) Write a different expression for the net force on the object based on Newton's Second Law, (force) = (mass) (acceleration). (c) Write a differential equation for the object's velocity based on parts (a) and (b), and use it to find the object's velocity v at time t.

3. An object with mass m is dropped from rest. (a) Write an expression for the net force on the object, assuming that the downwards force (due to gravity) is proportional to the object's mass and the upwards force (due to air resistance) is proportional to the square of the object's velocity. (b) Write a different expression for the net force on the object based on Newton's Second Law, (force) = (mass) (acceleration). (c) Write a differential equation for the object's velocity based on parts (a) and (b), and use it to find the object's velocity v at time t.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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