A skydiver with mass m experiences a constant downward gravitational force Fg=mgwhere g is the magnitude of
Question:
A skydiver with mass m experiences a constant downward gravitational force Fg=mgwhere g is the magnitude of the acceleration due to gravity. They also experience an upward drag force proportional to their velocity, Fd=cv, where c is a constant with c>0.
(a) Give the netdownwardforce in terms of m, g, c, and v.
Fnet=mdvdt=
(b) Your answer above now gives adifferentialequation modelling the velocity of a skydiver. Rearrange this differential equation into the form dvdt=A(vB). What are A and B in terms of m, g, and c?
A=
(c) The skydiver reachesterminal velocity, vt, when the gravitational and drag forces balance out resulting in a constant velocity. We can determine this terminal velocity from the differential equation by solving for v when dvdt=0.
Solve for the terminal velocity in terms of m, g, and c.
vt=
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford