Question

Две силы F1 = 2H и F2 = 3H приложены к одной точке тела угол между векторами F1 и F2 равен 90 градусов чему равен модуль равнодействующей этих сил

Answer 1

Дано 
F1=2H
F2=3H
α=90
Fo-?
 Раз α=90 то применим теорему Пифагора Fo²=F1²+F2²   Fo=5H

Answer 2

Calculation of the Resultant Force

To calculate the magnitude of the resultant force when two forces, F1 and F2, are applied to a body at the same point and the angle between the vectors F1 and F2 is 90 degrees, we can use the Pythagorean theorem and trigonometric functions.

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 resultant force (R) is the hypotenuse, and F1 and F2 are the other two sides.

Using the Pythagorean theorem, we can write the equation:

R^2 = F1^2 + F2^2

Taking the square root of both sides, we get:

R = sqrt(F1^2 + F2^2)

Substituting the given values, where F1 = 2H and F2 = 3H, we can calculate the magnitude of the resultant force:

R = sqrt((2H)^2 + (3H)^2)

R = sqrt(4H^2 + 9H^2)

R = sqrt(13H^2)

R = sqrt(13) * H

Therefore, the magnitude of the resultant force is sqrt(13) times the magnitude of either F1 or F2.

Please note that the unit "H" is not defined in the question, so we cannot provide a specific numerical value for the magnitude of the resultant force.