Question

Ракета имееющая вместе с зарядом массу 250 г, взлетает вертикально ввверх и достигает высоты 125 м. масса заряда 50 г. найти скорость истечения газов из ракеты

Answer 1

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Answer 2

Calculation of the Exhaust Velocity of the Rocket

To find the exhaust velocity of the rocket, we can use the principle of conservation of momentum. The momentum of the rocket before and after the ejection of the gas can be equated.

The initial momentum of the rocket is given by the product of its mass and velocity, which can be expressed as:

Initial momentum of the rocket = (mass of the rocket + mass of the payload) × velocity of the rocket

The final momentum of the rocket can be calculated by considering the mass of the rocket and the payload after the ejection of the gas. Since the rocket is at rest after reaching its maximum height, the final momentum is zero.

Therefore, we can equate the initial momentum to zero:

(mass of the rocket + mass of the payload) × velocity of the rocket = 0

Given that the mass of the rocket is 250 g (0.25 kg) and the mass of the payload is 50 g (0.05 kg), we can substitute these values into the equation:

(0.25 kg + 0.05 kg) × velocity of the rocket = 0

Simplifying the equation, we have:

0.3 kg × velocity of the rocket = 0

Solving for the velocity of the rocket, we find:

velocity of the rocket = 0 m/s

Therefore, the velocity of the gas being expelled from the rocket (exhaust velocity) is 0 m/s.

Please note that the given information does not provide enough data to calculate the exhaust velocity of the rocket.