Two forces, each of magnitude 8N act on an object. The angle between the two forces is 60. What is the magnitude of the resultant force acting on the object

The magnitude of the resultant force acting on the object 13.86 N

Explanation:

Resultant Force: the resultant of two or more forces is the single force which produce the same effect as the forces acting together.

Using

R² = P² + Q² - 2PQcos (180-θ) ... Equation 1

Where R = resultant force, P = first force, Q = Second force, θ = angle between the forces.

Given: P = 8 N, Q = 8 N, θ = 60°

Substituting these values into equation 1

R² = 8²+8²-2*8*8cos (180-60)

R² = 64+64-128cos120

R² = 128 - 128 (-0.5)

R² = 128+64

R² = 192

R = √192

R = 13.86 N.

Thus the magnitude of the resultant force acting on the object 13.86 N