The masses and radii of the Earth and the Moon are M1
A geostationary satellite is orbiting the earth at a height of 6 R above the surface of the earth. R being the radius of the earth.The time period of another satellite in hours at a height 2.5 R form the surface of the earth is
02
Oct
A geostationary satellite is orbiting the earth at a height of 6 R above the surface of the earth. R being the radius of the earth.The time period of another satellite in hours at a height 2.5 R form the surface of the earth is Find the percentage cahnge in the acceleration due to gravity [...]
A spaceship is launched into a circular orbit close to earth’s surface. The additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is: ( Radius of earth = 6400 km and g = 9.8 m/s )
02
Oct
A spaceship is launched into a circular orbit close to earth’s surface. The additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is: ( Radius of earth = 6400 km and g = 9.8 m/s ) Find the percentage cahnge in the acceleration due to gravity when [...]
A satellite is lifted from earth to a height h . Let the work done by the external agent be W1. Then it is projected with a speed v so as to move in a circular orbit doing an extra work W2. Compare these works done.
02
Oct
A satellite is lifted from earth to a height h . Let the work done by the external agent be W1. Then it is projected with a speed v so as to move in a circular orbit doing an extra work W2. Compare these works done. Find the percentage cahnge in the acceleration due to [...]
A satellite of mass m moves in a circular orbit of radius r around the earth. Calculate the total energy required to place the satellite in the orbit from the earth’s surface. Assuming initially it to be at rest.
02
Oct
A satellite of mass m moves in a circular orbit of radius r around the earth. Calculate the total energy required to place the satellite in the orbit from the earth’s surface. Assuming initially it to be at rest. Find the percentage cahnge in the acceleration due to gravity when a small body is taken [...]
An artificial satellite is in a circular orbiot at 500 km above the earth’s surface. (i) What is the acceleration of the satel;lite? (ii) Whta is the acceleration due to gravity at any point along the satellite’s path ? Take radius of the earth as 6.5 x 10^6 m.
02
Oct
An artificial satellite is in a circular orbiot at 500 km above the earth’s surface. (i) What is the acceleration of the satel;lite? (ii) Whta is the acceleration due to gravity at any point along the satellite’s path ? Take radius of the earth as 6.5 x 10^6 m. Find the percentage cahnge in the [...]
Two satellites of same mass are launched in the same orbit round the earth so as to rotate opposite to each other. They soon collide inelastically and stick together as wreckage. Obtain the total energy of the system before and just after the collision. Describe the subsequent motion of the wreckage.
02
Oct
Two satellites of same mass are launched in the same orbit round the earth so as to rotate opposite to each other. They soon collide inelastically and stick together as wreckage. Obtain the total energy of the system before and just after the collision. Describe the subsequent motion of the wreckage. Find the percentage cahnge [...]
If a satellite is revolving around a planet of mass M in an elliptical orbit of semi-major axis a. Show that the orbital speed of the satellite when it is at a distance r from the focus will be given by v ^ 2 = GM [ 2/r – 1 /a ]
02
Oct
If a satellite is revolving around a planet of mass M in an elliptical orbit of semi-major axis a. Show that the orbital speed of the satellite when it is at a distance r from the focus will be given by v ^ 2 = GM [ 2/r – 1 /a ] Find the percentage [...]
Two satellites move along a circular orbit in the same direction at a small distance from each other. A container has to be thrown from the first satellite on the second a one. When will the container reach the second satellite earlier, if it is thrown in the direction of motion of the first satellite or in the opposite direction? The velocity of the container is small in comparison to that of the satellite.
02
Oct
Two satellites move along a circular orbit in the same direction at a small distance from each other. A container has to be thrown from the first satellite on the second a one. When will the container reach the second satellite earlier, if it is thrown in the direction of motion of the first satellite [...]
A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system ? Mass of the space ship = 1000 kg; mass of the sun = 2×10 30 kg; mass of mars = 6.4×10 23 kg; Radius of mars = 3395 km; Radius of the orbit of mars = 2.28 × 10^ 8 km G = 6.67× 10^-11 N m^ 2 kg^-2 .
02
Oct
A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system ? Mass of the space ship = 1000 kg; mass of the sun = 2×10 30 kg; mass of mars = 6.4×10 23 kg; Radius of mars = 3395 km; Radius of [...]
Two bodies of masses m 1 and m 2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is
02
Oct
Two bodies of masses m 1 and m 2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is Find the percentage cahnge in the acceleration due to gravity when [...]