# An object with a mass of 8 kg is acted on by two forces. The first is F_1= < -3 N , 2 N> and the second is F_2 = < 6 N, -3 N>. What is the object's rate and direction of acceleration?

Jan 11, 2017

The acceleration is =〈3/8,-1/8〉ms^-2 in the direction $= - 18.4$º

#### Explanation:

The resultant force acting on the object is

$\vec{F} = {\vec{F}}_{1} + {\vec{F}}_{2}$

=〈-3,2〉+〈6,-3〉=〈3,-1〉

Use Newton's second law to find the acceleration

$\vec{F} = m \vec{a}$

veca=vecF/m=1/8〈3,-1〉=〈3/8,-1/8〉ms^-2

The direction is

$= \arctan - \frac{1}{3} = - 18.4$º