Newton\'s 2nd Law: F=m*a Linear drag force= Ld(v)=bv 3. show that the linearizat
ID: 2870342 • Letter: N
Question
Newton's 2nd Law: F=m*a
Linear drag force= Ld(v)=bv 3. show that the linearization Lo(v) of D(v) atys0 is LD(v) = bv. For small speeds v, the drag force approximately equals its linearization at v 0: D(u)s LD(v) = bv. Combine Newton's second law of motion for an object of mass m released from rest and accelerating under a constant gravitational acceleration g with a linear drag force decelerating the object to obtain this equation of describing its motion: 4. dv dt m_ = mg-bv An object travels at terminal velocity vr when the deceleration from drag and the acceleration from gravity cancel each other completely so the object travels with constant velocity (such as 5. skydivers). Derive an expression for vr using the equation from Question 4.
Explanation / Answer
net force =weight of body -dragforce
ma =mg -bv where "a" is acceleration
m(dv/dt)=mg -bv