Answer to Question #10512 in Mechanics | Relativity for sabrina

Question

assume that acceleration due to gravity is 10 m/s2 down 1) fine the magnitude and direction of the net force on an object given that the following forces act on the object at the same time. 20n east 10n down 30n west 50n down and 30n up

Answer 1

East and West are opposite directions, so the net force acts 30N - 20N = 10N west.
Same with down and up: 10N + 50N - 30N = 30N down.
The magnitude of the net force is

F = √(10²+30²) = √1000 ≈ 31.6228 N.

The angle between the net force and the east direction is

& alpha; = 180° + asin(30/31.6228) ≈ 251.5651°.