Question

Искуссственный спутник Земли, летящий со скоростью 7,7 км/с, обладает кинетической энергией 40000 МДж. Найти массу искусственного спутника.

Answer 1

Из формулы Ek=mv^2/2, можно найти формулу для вычисления массы m=2Ek/v^2=4,000,000,000*2/770^2=(прибл.)13493кг
МДж перевели в Дж(4000*1,000,000)
и км/с перевели в м/с( 7.7*1000)

Answer 2

Calculation of the Mass of the Artificial Satellite

To find the mass of the artificial satellite, we can use the formula for kinetic energy:

Kinetic Energy = (1/2) * mass * velocity^2

Given that the kinetic energy is 40000 MJ (megajoules) and the velocity is 7.7 km/s, we can substitute these values into the formula and solve for the mass.

Let's calculate it step by step:

1. Convert the velocity from km/s to m/s: - 7.7 km/s = 7700 m/s

2. Convert the kinetic energy from MJ to J: - 40000 MJ = 40000 * 10^6 J = 4 * 10^10 J

3. Substitute the values into the formula: - 4 * 10^10 J = (1/2) * mass * (7700 m/s)^2

4. Solve for the mass: - mass = (4 * 10^10 J) / [(1/2) * (7700 m/s)^2]

Now, let's calculate the mass using the given values:

mass = (4 * 10^10 J) / [(1/2) * (7700 m/s)^2]

mass = (4 * 10^10 J) / [(1/2) * (7700^2 m^2/s^2)]

mass = (4 * 10^10 J) / [(1/2) * (59290000 m^2/s^2)]

mass = (4 * 10^10 J) / (29645000 m^2/s^2)

mass ≈ 1.35 * 10^3 kg

Therefore, the mass of the artificial satellite is approximately 1.35 * 10^3 kg.

Please note that the calculation is based on the given information and assumptions.