Question

Две силы,соответствующие 8и6 H,действуют на одно тело.угол между направлениями сил 90 градусов.Найдите их равнодействующую помогите плиз

Answer 1

Силы под углом 90 градусов, теорема Пифагора F²=8²+6²   F=10Н

Answer 2

Problem Analysis

We have two forces, each with a magnitude of 8 H and 6 H, acting on the same object. The angle between the directions of the forces is 90 degrees. We need to find the resultant of these two forces.

Solution

To find the resultant of two forces, we can use the parallelogram law of vector addition. According to this law, the resultant of two vectors can be found by constructing a parallelogram using the vectors as adjacent sides, and the diagonal of the parallelogram represents the resultant vector.

Let's denote the two forces as F1 and F2, with magnitudes of 8 H and 6 H, respectively. The angle between the forces is 90 degrees.

To find the resultant, we can use the following formula:

Resultant = sqrt(F1^2 + F2^2 + 2 * F1 * F2 * cos(theta))

Where: - F1 and F2 are the magnitudes of the forces. - theta is the angle between the forces.

Substituting the given values into the formula, we get:

Resultant = sqrt((8^2) + (6^2) + 2 * 8 * 6 * cos(90))

Calculating this expression will give us the magnitude of the resultant force.

Let's calculate it step by step:

Resultant = sqrt(64 + 36 + 96 * cos(90))

Resultant = sqrt(100 + 96 * 0)

Resultant = sqrt(100)

Resultant = 10 H

Therefore, the magnitude of the resultant force is 10 H.

Answer

The magnitude of the resultant force, when two forces of 8 H and 6 H act on the same object at an angle of 90 degrees between their directions, is 10 H.