Calculate mass of earth taking it to ne a sphere of radius 6400 km. given `g=9.8 m//s^(2)` and `G=6.67xx10^(-11)N m^(2)kg^(-2)`

Calculate the mass of sum if the mean radius of the earth's orbit is 1.5xx10^(8)km and G=6.67xx10^(-11)Nxxm^(2)//kg^(2)

Determine the escape velocity of a body from the moon. Take the moon to be a uniform sphere of radius 1.76 xx 10^(6) m , and mass 7.36 xx 10^(22) kg . Given G=6.67 xx 10^(-11) Nm^(2) kg^(-2)

calculate the gravitaional intensity and graviational potential at a location which is from the surface of the Earth at a height 4 times the radius of the surface. R_(e) = 6400 km , G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , M_(e) = 6 xx 10^(24) kg .

Assuming the earth of to be a uniform sphere of radius 6400 kg and density 5.5 g//c.c. , find the value of g on its surface G=6.66xx10^(-11)Nm^(2)kg^(-2)

Calculate (i) kinetic energy (ii) potential energy and (iii) total energy of a satellite of mass 200 kg orbiting around the earth in an orbit of height 100 km from the surface of earth. Given, mass of earth = 10^(25) kg ,radius of earth = 6.4 xx 10^(6) m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) .

A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: Time period of revollution of satellite around the earth is

A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: The value of h is

If a spaceship orbits the earth at a height of 500 km from its surface, then determine its (i) kinetic energy, (ii) potential energy, and (iii) total energy (iv) binding energy. Mass of the satellite = 300 kg, Mass of the earth = 6xx10^(24) kg , radius of the earth = 6.4 xx 10^(6) m, G=6.67 xx 10^(-11) "N-m"^(2) kg^(-2) . Will your answer alter if the earth were to shrink suddenly to half its size ?

A mango of mass 0.3 kg falls from a tree. Calculate the acceleration of the mango towards the earth. Also calculate the acceleration of the earth towards the mango. Take, Mass of the earth = 5.983 xx 10^(24) kg Radius of the earth = 6.378 xx 10^(6) m G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)