nd a is the acceleration of the object. At first this may not look like it, but his is actually a differential equation. (a) A ball of mass 2kg falling underwater vertically faces a retarding force of magnitude 12kg/s times its magnitude of velocity (lets call the velocity v; note the retarding force is proportional to the velocity). The ball also experiences a downward force of mg (where m is the mass and g = 10ms-2). Taking the upward direction as positive (note this means v < 0 as the ball moves down), write down the resultant force acting on the ball. (b) Now equate ma with your result from a) (using Newton's law) and solve the first order ODE in terms of v (remember that a = initial condition that v(0) = -4ms-1. dv/dt) with the (c) We can find the displacement of the ball in the same manner (as a = d²x/dt? and v = ever, we can simply integrate the velocity to obtain the displacement. Use either method you prefer to obtain the displacement with the initial condition x(0) = -2m. dx/dt) and proceed to solve the 2nd order ODE. How-

nd a is the acceleration of the object. At first this may not look like it, but his is actually a differential equation. (a) A ball of mass 2kg falling underwater vertically faces a retarding force of magnitude 12kg/s times its magnitude of velocity (lets call the velocity v; note the retarding force is proportional to the velocity). The ball also experiences a downward force of mg (where m is the mass and g = 10ms-2). Taking the upward direction as positive (note this means v < 0 as the ball moves down), write down the resultant force acting on the ball. (b) Now equate ma with your result from a) (using Newton's law) and solve the first order ODE in terms of v (remember that a = initial condition that v(0) = -4ms-1. dv/dt) with the (c) We can find the displacement of the ball in the same manner (as a = d²x/dt? and v = ever, we can simply integrate the velocity to obtain the displacement. Use either method you prefer to obtain the displacement with the initial condition x(0) = -2m. dx/dt) and proceed to solve the 2nd order ODE. How-

Name: 5. Recall that Newton's law is F= ma, where F is the net force, m is
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Description: 5. Recall that Newton's law is F= ma, where F is the net force, m is the massand a is the acceleration of the object. At first this may not look like it, butthis is actually a differential equation.(a) A ball of mass 2kg falling underwater verticall

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter3: Force And Motion

Section: Chapter Questions

Problem 5MC: According to Newtons second law of motion, when an object is acted upon by an unbalanced force, what...

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