A cord of length `64 m` is used to connected a `100 kg` astronaut to spaceship whose mass is much larger than that of the astronuat. Estimate the value of the tension in the cord. Assume that the spaceship is orbiting near earth surface. Assume that the spaceship and the astronaut fall on a straight line from the earth centre. the radius of the earth is `6400 km`.

A cord of length 4 m is used to connect a 100 kg astronaut to spaceship whose mass is much larger than that of the astronaut. Estimat the value of the tension in the cord. Assume that the spaceship is orbiting near earth surface. A ssume that the spaceship and th eastronaut fall on a straight line from the earth centre. The radius of the earth is 6400 km.

A chord of length 64m is used to connect a 100 kg astronaut to a spaceship whose mass is much larger than the that of the astronaut. Estimate the value of tension in the cord. Assume that the spacehip is orbiting near the earth surface. Also assume that the spaceship and hte astronaut fall on strainght line from the earth's centre. The radius of he earth 6400km.

A spaceship is orbiting the earth in a circular orbit at a height equal to radius of the earth (R_(c) = 6400 km) from the surface of the earth. An astronaut is on a space walk outside the spaceship. He is at a distance of l = 200 m from the ship and is connected to it with a simple cable which can sustain a maximum tension of10 N. Assume that the centre of the earth, the spaceship and the astronaut are in a line. Mass of astronaut along with all his accessories is 100 kg. Do you think that a weak cable that can only take a load of 10 N, can prevent him from drifting in space ? Make a guess. Estimate the tension in the cable. [Acceleration due to gravity on the surface of [ Earth =9.8m//s^(2) ]

A satellite of mass 10 kg is placed initially in a temporary orbit 800 km above the surface of earth. The satellite is to be placed now in a permanent orbit at 2000 km above the surface of earth. Find the amount of workdone to move the satellite from temporary to permanent orbit. The radius of the earth is 6400 km and g = 10 ms^(-2) .

At what height from the surface of earth the gravitation potential and the value of g are -5.4xx10^7J*kg^(-1) and 6 m*s^(-2) respectively ? Take the radius of earth as 6400 km.

A particle is dropped down in a deep hole which extends to the centre of the earth. Calculate the velocity at a depth of one km from the surface of this carth ? Assume that g= 10 m//s^2 and radius of the earth = 6400 km.

(a) Assuming the earth to be a sphere of uniform density, calculate the value of acceleration due to gravity at a point, 1600 km above the earth, (b) Also find the rate of variation of acceleration due to gravity above the earth's surface. Radius of earth =6400 km, g =9.8 m//s^(2) .

A geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth's gravity at the site of the satellite ? Mass of the earth= 6xx10^(24) kg and radius =6400 km.