Answer to Question #139793 in Mechanics | Relativity for cristian kim lamzon

Question

Moment after making the dreaded decision to jump out the door of the airplane, Darin’s 82.5 kg body experiences 118 N of air resistance. Determine Darin’s acceleration at this instant time. HINT. Begin drawing a free body diagram and determine the net force.

Answer 1

Let a represent the acceleration of Darin's body.

Let $g$ represent the acceleration due to gravity.

Let $m$ represent the mass of Darin's body.

Let $W$ represent the weight of Darin's body.

Let $R$ be the air resistance experienced by Darin's body.

$\textsf{According to Newton's second law of motion,}\\ \textsf{ The net force acting on Darin's body}= ma\\ W-R=ma\\ (82.5×9.81)N-118N=82.5kg×a\\ 809.325N-118N=82.5kg×a\\ 691.325N=82.5kg×a\\ a=\frac{691.325N}{82.5kg}\\ a=8.38ms^{-2}$