Two forces 3N and 4N on a body in directions due North and due East respectively.Calculate their equilibrant.

Resultant force(F) =square root of(3square +4square).

F=5N.
Equilibriant has the same magnitude as resultant force.Hence the equilibriant is 5N.

X = 4N.

Y = 3N.

X + Yi + F3 = 0
4 + 3i + F3 = 0
F3 = -4 - 3i

Tan Ar = Y/X = -3/-4 = 0.75000
r = 36.87o(Q1). = Reference angle.
A = 36.87 + 180 = 216.87o(Q3).

F3 = X/Cos A = -4/Cos216.87 = 5.0 N. @
216.87o.

Note: F3 is = to and opposite of the sum of the two given forces.

The answer is 10.31km/h

How did we get 5N as the force

I can't find the perfect solution

Two forces 3n and 4n act in a direction due north and due East respectively calculate their equilibrium

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Two forces 3N and 4N act on a body in the direction due north and east respectively.calculate the equilibrium

To find the equilibrant of two forces acting on a body, we need to first determine the resultant of the forces. The resultant is the single force that has the same effect as the original forces combined.

To calculate the resultant, we can use the Pythagorean theorem. According to the theorem, the magnitude of the resultant force (R) is given by:

R = √(Fx^2 + Fy^2)

Where Fx and Fy are the horizontal and vertical components of the forces respectively.

Given that we have a 3N force in the North direction and a 4N force in the East direction, we can break down these forces into their components as follows:

For the 3N force, the vertical component (Fy1) is 3N and the horizontal component (Fx1) is 0N, since there is no horizontal component in the North direction.

For the 4N force, the vertical component (Fy2) is 0N, since there is no vertical component in the East direction, and the horizontal component (Fx2) is 4N.

Now we can calculate the resultant using the formula mentioned earlier:

R = √((Fx1 + Fx2)^2 + (Fy1 + Fy2)^2)

Plugging in the values:

R = √((0 + 4)^2 + (3 + 0)^2)

R = √(16 + 9)

R = √25

R = 5N

So, the magnitude of the resultant force is 5N.

Now, the equilibrant force is a force that cancels out the resultant force completely. It has the same magnitude as the resultant force but acts in the opposite direction.

Therefore, the equilibrant of the two forces is a 5N force acting in the opposite direction to the resultant force.