The formula to calculate the magnitude of a force is:
\[ F_m = \sqrt{F_x^2 + F_y^2} \]
where \( F_m \) is the magnitude of the force, \( F_x \) is the x-component of the force vector, and \( F_y \) is the y-component of the force vector.
In physics, a force is the push or pull that acts upon an object to make it move or accelerate. A force is said to have a magnitude (or strength) and direction. The force can be expressed as a vector like velocity, position, and acceleration. This vector has an x and y-component, which both contribute to the overall magnitude of the force.
Let's assume we have the following values:
Step 1: Square the x-component:
\[ F_x^2 = 3^2 = 9 \]
Step 2: Square the y-component:
\[ F_y^2 = 4^2 = 16 \]
Step 3: Add the squared components:
\[ 9 + 16 = 25 \]
Step 4: Take the square root of the sum:
\[ \sqrt{25} = 5 \]
Therefore, the magnitude of the force is \( F_m = 5 \) units.
