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Laws of Motion

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Question : 7 of 40
Marks: +1, -0
A body of mass 5 kg is acted upon by two perpendicular forces 8 N and 6 N. Give the magnitude and direction of the acceleration of the body.
Solution:  
Here, m=5 kg,a⃗=?m=5\,\text{kg}, \vec{a}=?
F⃗1=OA‾=8 N;F⃗2=OB‾=6 N\vec{F}_1=\overline{OA}=8\,\text{N} ; \vec{F}_2=\overline{OB}=6\,\text{N}
Resultant force, F⃗=OC‾\vec{F}=\overline{OC}
=F12+F22= \sqrt{F_{1}^{2}+F_{2}^{2}} =82+62=10 N= \sqrt{8^{2}+6^{2}} = 10\,\text{N}
Therefore magnitude of the acceleration produced
a=Fm=105=2 m s−2a= \frac{F}{m}= \frac{10}{5}=2\,\text{m}\,\text{s}^{-2}
This is the direction of resultant force and hence the direction of acceleration of the body.
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