GMm The gravitational potential energy, in Joules, of a rocket above earth's surface can be calculated...

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GMm The gravitational potential energy, in Joules, of a rocket above earth's surface can be calculated by Eg= where G is the universal gravitational constant (6.67 x 10 Nm²/kg), M is the mass of the earth (5.98x 10 kg), mis the mass of the rocket in kg, and r is the distance from the earth's centre. The radius of the earth is 6.38 x 10 m. The mass of the rocket decreases while it is ascending as it is burning fuel. Consider a rocket for which the mass changes linearly (in real rockets it doesn't!) and the total mass of the rocket can be obtained by the equation m = 15000 - 60 (t) where it is the time since take-off, in seconds. a. Determine the gravitational energy of this rocket if it reached height of 200 km above the earth's surface in 120 s. ✓ ✓ b. Determine the average rate of change of gravitational energy of the rocket from 120 to 125 seconds, assuming it ascends another 10 km during that time. ✔✔ GMm The gravitational potential energy, in Joules, of a rocket above earth's surface can be calculated by Eg= where G is the universal gravitational constant (6.67 x 10 Nm²/kg), M is the mass of the earth (5.98x 10 kg), mis the mass of the rocket in kg, and r is the distance from the earth's centre. The radius of the earth is 6.38 x 10 m. The mass of the rocket decreases while it is ascending as it is burning fuel. Consider a rocket for which the mass changes linearly (in real rockets it doesn't!) and the total mass of the rocket can be obtained by the equation m = 15000 - 60 (t) where it is the time since take-off, in seconds. a. Determine the gravitational energy of this rocket if it reached height of 200 km above the earth's surface in 120 s. ✓ ✓ b. Determine the average rate of change of gravitational energy of the rocket from 120 to 125 seconds, assuming it ascends another 10 km during that time. ✔✔

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a To determine the gravitational energy of the rocket when it reaches a height of 200 km above the E... View the full answer