Question

Two forces of 80N and 70N act simultaneously at a point. Find the resultant force, if the angle between them is 150 ⁰ .

Answer 1

Resultant force

= Sqrt(A² + B² + 2ABcos theta)

= Sqrt(80² + 70² + 2×80×70×cos 150)

= Sqrt(80² + 70² -2×80×70×0.8660)

=Sqrt(6400+4900-9699.2)

= Sqrt(1600.8)

= 40.010 N

Answer 2

The resultant force of the two forces is 40 N.

Explanation:

Given that,

Force 1, $F_1=80\ N$

Force 2, $F_2=70\ N$

The angle between two forces is 150 degrees. The resultant of two forces is given by :

$F=\sqrt{F_1^2+F_2^2+2F_1F_2\ cos\theta}$

$F=\sqrt{80^2+70^2+2\times 80\times 70\ cos(150)}$

F = 40 N

So, the resultant force of the two forces is 40 N.

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