An object with a mass of $8 kg$ is acted on by two forces. The first is $F_1= < -9 N , 7 N>$ and the second is $F_2 = < -4 N, -1 N>$ . What is the object's rate and direction of acceleration?

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Answer 1 · 2016-12-25T14:42:57

The answer is $=1.79ms^(-2)$ at $155.2º$

The resultant force is
$vecF=vecF_1+vecF_2$

$vecF=〈-9,7〉+〈-4,-1〉=〈-13,6〉$

The magnitude of $vecF$ is

$=∥〈-13,6〉∥$

$=sqrt(169+36)=sqrt205$

The acceleration is $=F/m=sqrt205/8=1.79ms^(-2)$

The direction of acceleration is $=arctan(-6/13)$

$=155.2º$

An object with a mass of 8 kg8 kg is acted on by two forces. The first is F_1= < -9 N , 7 N>F_1= < -9 N , 7 N> and the second is F_2 = < -4 N, -1 N>F_2 = < -4 N, -1 N>. What is the object's rate and direction of acceleration?