MasteringPhysics: Chapter 1 x https://session. mastering physics.com/ PHY 270A F
ID: 1609964 • Letter: M
Question
MasteringPhysics: Chapter 1 x https://session. mastering physics.com/ PHY 270A Foundations of Physics I (Chase) Spring 2017 Chapter 1 Problem 1.36 Problem 1.36 A rocket fires two engines simultaneously. One produces a thrust of 700 N directly forward while the other gives a thrust of 524 N at an angle 31.8 above the forward direction. c a search Signed in as Sabrina Cubell Resources e previous l 6 of 9 l next Part A Find the magnitude of the resultant orce which these engines exert on the rocket. My Answers Give Up Part B Find the deviation of the direction (relative to the forward direction) of the resultant force which these engines exert on the rocket. Submit My Answers Provide Feedback ContinueExplanation / Answer
let F1 = 700 N
F2 = 524 N
theta = 31.8 degrees
a) The magnitude of the resultant force,
Fnet = sqrt(F1^2 + F2^2 + 2*F1*F2*cos(theta))
= sqrt(700^2 + 524^2 + 2*700*524*cos(31.8))
= 1178 N <<<<<<<<<<<<<<------------Answer
b) let x be forward direction
Fnetx = 700 + 524*cos(31.8)
= 1145 N
Fnety = 0 + 524*sin(31.8)
= 276 N
angle made by the resultant force with forward direction,
theta = tan^-1(Fnety/Fnetx)
= tan^-1(276/1145)
= 13.5 degrees <<<<<<<<<<<<<<------------Answer