Question

Помогите, пожалуйста, нужно подробное решение, по формуламСреднее значение силы, выталкивающей при выстреле снаряд из ствола орудия длиной 1,5 м равно 530 кH. В момент вылета из ствола скорость снаряда составляет 700м/с. Определите массу снаряда.

Answer 1

Работа пороховых газов A=F*L= m*V^2/2
m=2*F*L/V^2=2*530*1000*1,5/700*700=3,24 кг

Answer 2

Calculation of the Projectile Mass

To determine the mass of the projectile, we can use the formula for average force:

Average Force = Change in Momentum / Time

The change in momentum can be calculated using the formula:

Change in Momentum = Mass of the Projectile * Change in Velocity

Given: - Length of the barrel (L) = 1.5 m - Average force (F) = 530 kH (kiloHertz) - Velocity of the projectile (v) = 700 m/s

To find the mass of the projectile, we need to calculate the change in velocity. Since the projectile starts from rest inside the barrel and exits with a velocity of 700 m/s, the change in velocity is equal to the final velocity.

Let's calculate the mass of the projectile step by step:

1. Convert the average force from kiloHertz to Newtons: - 1 kH = 1000 N - Average force (F) = 530 kH = 530,000 N

2. Calculate the change in velocity: - Change in velocity (Δv) = Final velocity (v) = 700 m/s

3. Calculate the change in momentum: - Change in momentum (Δp) = Mass of the projectile (m) * Change in velocity (Δv)

4. Calculate the mass of the projectile: - Mass of the projectile (m) = Change in momentum (Δp) / Change in velocity (Δv