Three forces act on the object.A 3- N force acts due west, and 4-N force acts due south.If the net force on the object is zero ,what is the magnitude of the third force
5N
To find the magnitude of the third force, we need to use vector addition. Since the net force on the object is zero, the third force must balance out the other two forces.
To start, draw a diagram and represent the 3-N force acting due west as an arrow pointing to the left, and the 4-N force acting due south as an arrow pointing down.
Next, draw the third force as an arrow starting from the tip of the first arrow (representing the 3-N force) and ending at the tip of the second arrow (representing the 4-N force).
Since the net force is zero, the third force should complete a triangle with the other two forces.
Now, using the Pythagorean theorem, you can calculate the magnitude of the third force.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the third force, and the other two sides are the 3-N and 4-N forces.
To calculate the magnitude of the third force, use the following equation:
Third force^2 = (3-N force)^2 + (4-N force)^2
Third force^2 = 3^2 + 4^2
Third force^2 = 9 + 16
Third force^2 = 25
Taking the square root of both sides gives:
Third force = 5
Therefore, the magnitude of the third force is 5 N.