Question

Пуля в стволе автомата Калашникова движется с ускорением 616 км/с2. Какова скорость вылета пули,если длина ствола 41,5см?

Answer 1

Решение в скане.............

Answer 2

Calculation of Bullet Velocity

To calculate the velocity of a bullet exiting the barrel of an AK-47 rifle, we can use the formula for acceleration:

a = Δv / Δt

where: - a is the acceleration - Δv is the change in velocity - Δt is the change in time

Given that the acceleration is 616 km/s^2 and the length of the barrel is 41.5 cm, we need to convert the units to ensure consistency.

Converting the acceleration from km/s^2 to cm/s^2: - 1 km = 100,000 cm - 1 s^2 = 1,000,000,000 cm^2

Therefore, 616 km/s^2 is equal to 616,000,000 cm/s^2.

Converting the length of the barrel from cm to m: - 1 m = 100 cm

Therefore, 41.5 cm is equal to 0.415 m.

Now, we can calculate the change in velocity using the formula:

Δv = a * Δt

Substituting the values: Δv = 616,000,000 cm/s^2 * 0.415 m

To convert the units, we need to multiply by 100 to convert cm to m: Δv = 616,000,000 cm/s^2 * 0.415 m * 100 cm/m

Simplifying the equation: Δv = 616,000,000 * 0.415 * 100 cm^2/s^2

Calculating the value: Δv = 25,564,000,000 cm^2/s^2

Therefore, the change in velocity is 25,564,000,000 cm^2/s^2.

Now, we can calculate the velocity of the bullet using the formula:

v = √(2 * a * s)

where: - v is the velocity - a is the acceleration - s is the distance traveled

Substituting the values: v = √(2 * 25,564,000,000 cm^2/s^2 * 0.415 m)

To convert the units, we need to multiply by 100 to convert cm to m: v = √(2 * 25,564,000,000 cm^2/s^2 * 0.415 m * 100 cm/m)

Simplifying the equation: v = √(2 * 25,564,000,000 * 0.415 * 100 cm^3/s^2)

Calculating the value: v ≈ √(2 * 25,564,000,000 * 0.415 * 100) cm/s

Using a calculator, we find that the velocity of the bullet is approximately 10,000 cm/s.

Please note that this calculation assumes ideal conditions and does not take into account factors such as air resistance or other external forces that may affect the bullet's velocity.