Question

Можно ли рассчитывать действующую на космическую ракету силу тяжести по формуле Fтяж = 9,8 м/с2 • m, где m — масса ракеты, если эта ракета пролетает на расстоянии 5000 км от поверхности Земли? (Известно, что радиус Земли приблизительно равен 6400 км.) Ответ поясните. Если эта формула не годится, то какой формулой вы предложили бы воспользоваться в этом случае? Помогите,только не с инета

Answer 1

) На Земле m=F/g 2) Нельзя. нужно воспользоваться формулой закона всемирного тяготеня. Та участвуют массы Земли и ракеты, расстояние между ними и гравитационная постоянная 3) Ястреба поддерживает обтекающий воздушный поток за счет угла атаки крыла. Сложив крылья, он упадет

Answer 2

Calculating the Force of Gravity on a Space Rocket

To calculate the force of gravity acting on a space rocket, we can use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for the force of gravity is:

F_gravity = (G * m1 * m2) / r^2

Where: - F_gravity is the force of gravity - G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2) - m1 and m2 are the masses of the two objects - r is the distance between the centers of the two objects

In this case, we want to calculate the force of gravity acting on a space rocket at a distance of 5000 km from the surface of the Earth. The mass of the rocket is not provided, so we cannot calculate the exact force of gravity without that information.

However, we can make some assumptions to estimate the force of gravity. We can assume that the mass of the rocket is negligible compared to the mass of the Earth, so we can consider the mass of the rocket as zero. In this case, the formula for the force of gravity simplifies to:

F_gravity = (G * m * M) / r^2

Where: - F_gravity is the force of gravity - G is the gravitational constant - m is the mass of the rocket (assumed to be zero) - M is the mass of the Earth - r is the distance between the rocket and the surface of the Earth

Using this simplified formula, we can calculate the force of gravity on the rocket.

Calculation

Given that the radius of the Earth is approximately 6400 km and the rocket is at a distance of 5000 km from the surface of the Earth, we can calculate the force of gravity using the simplified formula.

F_gravity = (G * m * M) / r^2

Substituting the values: - G = 6.67430 × 10^-11 N(m/kg)^2 (gravitational constant) - m = 0 (mass of the rocket) - M = mass of the Earth (approximately 5.972 × 10^24 kg) - r = 6400 km + 5000 km = 11400 km = 11,400,000 meters

F_gravity = (6.67430 × 10^-11 N(m/kg)^2 * 0 * 5.972 × 10^24 kg) / (11,400,000 meters)^2

Since the mass of the rocket is assumed to be zero, the force of gravity acting on the rocket would also be zero.

Therefore, the formula F_gravity = 9.8 m/s^2 * m is not suitable for calculating the force of gravity on a space rocket at a distance of 5000 km from the surface of the Earth. Instead, we need to use the formula for gravitational force mentioned earlier.

Please note that this calculation assumes a simplified scenario and neglects other factors that may affect the force of gravity, such as the rocket's altitude, the Earth's rotation, and the presence of other celestial bodies.