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Two forces act on an object as shown. Calculate the magnitude of the resultant force.[ Hint: Use the Pythagorean Theorem]

Two Forces Act On An Object As Shown Calculate The Magnitude Of The Resultant Force Hint Use The Pythagorean Theorem class=

Sagot :

Using law of vector addition , the magnitude (R) of resultant force is given by

[tex]\begin{gathered} R=\sqrt{30^2+40^2+2\times30\times40\sin90\degree;} \\ R=\text{ }\sqrt{4900}=\text{ 70N}\begin{cases}sin90\degree={1} \\ \end{cases} \end{gathered}[/tex]

Final answer is 70 N.

Note:- we need to use law of vector addition to get resultant of two forces but we cant use Pythagorean theorem for vector .

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