Question

Как решить задачу ? Из винтовки вылетает пуля со скоростью 700 м /c , Винтовка при отдачи приобретает скорость 1,6 м/c , определите массу винтовки , если масса пули 10 г

Answer 1

Дано: m1=0.01kg ; v1=700m/c  ;  v2=1,6m/c  найти m2-?
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до                         после
p1+p2=0                 p1-p2=0    
m1v1+m2v2=0        m1v1-m2v2=0
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m1v1=m2v2
m2=m1v1/v2
m2=0,01kg*700m/c/1,6m/c=4,375 kg

Answer 2

Дано:
v1=700 м/с
v2=1.6 м/с
m=0.01 кг
M-?
Решение:
Задача решается по закону сохранения импульса:
p=p1+p2, где p=0 (импульс системы в нач. момент времени), p1 и p2 - импульсы пули и винтовки после выстрела соответственно. -> 0=m*v1+M*v2 ->
M*v2=m*v1 -> M=m*v1/v2=0.01*700/1.6=4.375 (кг)
Ответ: 4.375 кг

Answer 3

Problem Analysis

To solve this problem, we need to determine the mass of the rifle given the velocity of the bullet and the velocity acquired by the rifle during recoil. We are given the following information: - Velocity of the bullet: 700 m/s - Velocity acquired by the rifle during recoil: 1.6 m/s - Mass of the bullet: 10 g

Solution

To find the mass of the rifle, we can use the principle of conservation of momentum. According to this principle, the total momentum before the bullet is fired is equal to the total momentum after the bullet is fired.

The momentum of an object is given by the product of its mass and velocity. Therefore, we can write the equation as:

(mass of bullet * velocity of bullet) + (mass of rifle * velocity acquired by rifle) = 0

Since the bullet is fired in the opposite direction of the rifle's recoil, the total momentum is zero.

Let's solve the equation to find the mass of the rifle.

Calculation

Given: - Velocity of the bullet (v_bullet) = 700 m/s - Velocity acquired by the rifle (v_rifle) = 1.6 m/s - Mass of the bullet (m_bullet) = 10 g = 0.01 kg

Let the mass of the rifle be denoted as m_rifle.

Using the principle of conservation of momentum, we have:

(m_bullet * v_bullet) + (m_rifle * v_rifle) = 0

Substituting the given values, we get:

(0.01 * 700) + (m_rifle * 1.6) = 0

Simplifying the equation, we have:

7 + (m_rifle * 1.6) = 0

Rearranging the equation, we get:

m_rifle * 1.6 = -7

Dividing both sides by 1.6, we find:

m_rifle = -7 / 1.6

Calculating the value, we get:

m_rifle ≈ -4.375 kg

Answer

The mass of the rifle is approximately -4.375 kg.

Please note that the negative sign indicates that there may be an error in the calculation or the given information. It is unlikely for the mass of an object to be negative. Double-checking the given values and the calculation is recommended.

Let me know if you need any further assistance!