Question

two forces of magnitude 25n and 45n act at an angle of 60 degree . Find thier resultant.​

Answer 1

Answer:

it's 61.44N ig

Step-by-step explanation:

The magnitude of resultant force is given as

√F1²+F2²+2F1F2costheta

√(25)²+(45)²+2×25×45×coz160°

√625+2025+2250×0.5. as cos160° = 0.5

√625+2025+1125

√3775

= 61.44

Answer 2

Given: Two forces of magnitude 25n and 45n act at an angle of 60 degrees.

To find: Resultant of the two forces.

Solution:

• Force is an external cause that changes or tends to change the state of rest or uniform motion of a body.
• The resultant of two forces acting at a given angle is calculated as,

       $F_{net} = \sqrt{ F_{1}^{2} + F_{2}^{2} + 2F_{1}F_{2}cos \theta}$

• Here, $F_{net}$ is the resultant force, F₁ and F₂ are the two forces and θ is the angle between the two forces.
• On replacing the terms with the values given in the question, the obtained equation is,

        $F_{net} = \sqrt{(25N)^{2} + (45N)^{2} + 2(25N)(45N)cos60}$

• On rearranging and solving further, the value of $F_{net}$ is found to be,

        $F_{net} = 61.44 N$

Therefore, the resultant of the two forces is 61.44 N.