Question

На тіло масою 5 кг діють дві перпендикулярні сили :8 і 7 H.визначте прискорення руху тіла​

Answer 1

Ответ:

$a \approx$ 2,1 м/c²

Объяснение:

Дано:

$m =$ 5 кг

$F_{1} =$ 8 H

$F_{2} =$ 7 H

$F_{1} \perp F_{2}$

Найти:

$a \ - \ ?$

----------------------------

$\overrightarrow{F} = \overrightarrow{F_{1}} + \overrightarrow{F_{2}}$ - по правилу параллелограмма

$F ={\sqrt{F_{1}^{2} + F_{2}^{2}$ - модуль результирующей силы

По второму закону Ньютона:

$F = ma \Longrightarrow a = \dfrac{F}{m} = \dfrac{\sqrt{F_{1}^{2} + F_{2}^{2} } }{m}$

$a =$ √(64 H² + 49 H²) / 5 кг ≈ 2,1 м/c²

Ответ: $a \approx$ 2,1 м/c².

Answer 2

Calculation of Acceleration Due to Two Perpendicular Forces

To calculate the acceleration of an object with a mass of 5 kg under the influence of two perpendicular forces of 8 N and 7 N, we can use the following steps:

1. Calculate the resultant force. 2. Use the formula for acceleration to find the acceleration of the object.

Resultant Force Calculation

The resultant force can be calculated using the Pythagorean theorem, as the forces are perpendicular to each other.

The magnitude of the resultant force (R) can be calculated using the formula: R = √(F1^2 + F2^2)

Where: - F1 = 8 N - F2 = 7 N

Calculating the magnitude of the resultant force: R = √(8^2 + 7^2) R = √(64 + 49) R = √113 R ≈ 10.63 N

Calculation of Acceleration

Now, we can use the formula for acceleration: Acceleration (a) = Resultant Force (R) / Mass (m)

Where: - R = 10.63 N (resultant force) - m = 5 kg (mass of the object)

Calculating the acceleration: Acceleration (a) = 10.63 N / 5 kg Acceleration (a) ≈ 2.13 m/s^2

Therefore, the acceleration of the object with a mass of 5 kg under the influence of two perpendicular forces of 8 N and 7 N is approximately 2.13 m/s^2.