two forces one of 12n and another of 24n,act on abody in such away that they make an angle of 90 with each other find the result of the two forces ?
Resultant = (12×12 + 24×24 + 2×14×24 cos 90 degree)½
=(144 + 576)½ , b/c Cos 90 = 0
=(720)½
R = 26.833
I am grade nine student
26.833
Dagucj
Cvh
Ghi
Hui
Yui
Thank you
To find the result (or resultant) of two forces, we can use a concept called vector addition. Vector addition involves combining the magnitudes and directions of the individual forces.
In this case, we have two forces: one with a magnitude of 12 N and another with a magnitude of 24 N. These forces are at an angle of 90 degrees (perpendicular) to each other.
To find the resultant, we can use the Pythagorean theorem to find the magnitude of the resultant force, and trigonometry to find its direction.
Step 1: Finding the magnitude of the resultant force
We can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's assume that the two forces, F1 and F2, are the two sides of a right-angled triangle, and R is the hypotenuse (resultant force).
Using the Pythagorean theorem:
R^2 = F1^2 + F2^2
= 12^2 + 24^2
= 144 + 576
= 720
Taking the square root of both sides:
R = √720
≈ 26.83 N (rounded to two decimal places)
Step 2: Finding the direction of the resultant force
We can use trigonometry (specifically the tangent function) to find the direction of the resultant force. The tangent of an angle in a right-angled triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to it.
In this case, the angle between the two forces is 90 degrees, so the direction of the resultant force will be the angle formed by the two forces. Since the forces are perpendicular, the direction will be either 0 degrees or 180 degrees.
So, the resultant force is approximately 26.83 N and the direction is either 0 degrees or 180 degrees (depending on the orientation of the forces).
Note: If the angle between the two forces were not 90 degrees, we would need to use other trigonometric functions (such as sine and cosine) to find the direction.