A rocket with mass 4.00 times 10^3 kg is in a circular orbit of radius 7.10...
A rocket with mass 5.00×103 kg is in a circular orbit of radius 7.30×106 m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.70×106 m , with the orbit again circular. What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease?
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A spacecraft of 90 kg mass is in a circular orbit about the Earth at a height h-2RE (a) What is the period of the spacecraft's orbit about the Earth? (b) What is the spacecraft's kinetic energy? (c) Express the angular momentum L of the spacecraft about the center of the Earth in terms of its kinetic energy K. (Use the following as necessary: RE for the radius of the Earth, K for the kinetic energy of the satellite, and...
A spacecraft of 110 kg mass is in a circular orbit about the Earth at a height h = 2RE. (a) What is the period of the spacecraft's orbit about the Earth? T = . h (b) What is the spacecraft's kinetic energy? K = . J (c) Express the angular momentum L of the spacecraft about the center of the Earth in terms of its kinetic energy K. (Use the following as necessary: RE for the radius of the...
o1 points CJ10 6 PO23 circular earth orbit that has a radius of 3.2 x 10 m. A net external force must act on the satellte to make it ct on the satelite to make it change to a circular orbit that has a radius f 3 x 1o1 m. What work w must the net external force do? Note that the work determined here is w - Win+ Wgravieational, where Wgravitational is the work done by the gravitational force...
A rocket carrying a new 945-kg satellite into orbit misfires and places the satellite in an orbit with an altitude of 175 km, well below its operational altitude in low-Earth orbit. (a) What would be the height of the satellite's orbit if its total energy were 450 MJ greater? km (b) What would be the difference in the system's kinetic energy? (Include the sign of the value in your answer.) Mj (c) What would be the difference in the system's...
An asteroid, whose mass is 2.50×10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2 times the Earth's distance from the Sun. Calculate the period of revolution of the asteroid. Tries 0/10 What is the ratio of the kinetic energy of the asteroid to the kinetic energy of Earth?
A satellite with mass 898 kg is in a circular orbit with an orbital speed of 5840 m/s around the earth. a) What is the new orbital speed after friction from the earth's upper atmosphere has done −7.5×10^9 J of work on the satellite? Express your answer with the appropriate units. b) Does the speed increase or decrease?
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius R, where M>>m. a) For full marks, derive the potential, kinetic, and total energy of the satellite in terms of G, M, m, and r assuming that the potential energy is zero at r=infinity. b) What is the minimum amount of energy that the booster rockets must provide for the satellite to escape? c) Now we take into accouny...