Answer to Question #107738 in Classical Mechanics for Avalon

Question

a 15.0kg object experiences a 20 N force pulling at 30.0 degrees south of west, a force of 30 N pulling from the west, and a 45 N force pulling from the north. What is the acceleration experienced by the object?

Answer 1

I have pasted a picture of the question which will show the actual direction of forces

Let's resolve the force  20 N at 30.0 degrees south of west

20N sin30^o will act in the south direction =10 N in the south

20 N cos30⁰ will sct in the west direction =10$\sqrt3$ N in the West

Lets find the resultant of all the forces

We get 30 N acts in the North direction and 30+10$\sqrt3$ N in the West direction

converting this into vector form

$F=-(30+10\sqrt3)i+30j$

Force =ma

$a=-(2+\frac{2\sqrt3}{3})i+2j$