A satellite of mass 'M' is projected radially from surface of earth with speed 'u'. When is reaches a height equal to radius of earth, it ejects a rocket of mass `( M)/(10 )`and it itself starts orbiting the earth in circular path of radius 2R, find the kinetic energy of rocket.

A satellite of mass m is launched vertically upwards with an initial speed U from the surface of the Earth. After it reaches height 2 R (R = radius of Earth) it ejects a rocket of mass (m)/(5) So, that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is (M is mass of Earth)

A satellite of mass m is launched vertically upwards with an initial speed U from the surface of the Earth. After it reaches height 2 R (R = radius of Earth) it ejects a rocket of mass (m)/(5) So, that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is (M is mass of Earth)

A satellite of mass m is launched vertically upwards with initial kinetic energy K from the Earth’s surface. After it reaches height R (R = radius of earth). It ejects a rocket of mass m/5 so that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is [G is gravitational constant, M is the mass of the earth, take (GMm)/(R)=K ]

A satellite of mass m is launched vertically upwards with initial kinetic energy K from the Earth’s surface. After it reaches height R (R = radius of earth). It ejects a rocket of mass m/5 so that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is [G is gravitational constant, M is the mass of the earth, take (GMm)/(R)=K ]

A satellite of mass m is launched vertically upwards with an initial speed sqrt((GM)/®) from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass m/10 in a direction opposite to the initial direction of the satellite, so that subsequently the satellite escapes to infinity. The minimum kinetic energy of the rocket at ejection needed is (G is the gravitational constant, M is the mass of the earth):

A satellite of mass m is launched vertically upwards with an initial speed sqrt((GM)/®) from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass m/10 in a direction opposite to the initial direction of the satellite, so that subsequently the satellite escapes to infinity. The minimum kinetic energy of the rocket at ejection needed is (G is the gravitational constant, M is the mass of the earth):