Question

The mass of an object is 11600 kg.find the weight of the object
1. When it is resting on earths surface
2. When it is in the orbit 596 km above earths surface

Answer 1

Answer:

113680 and 113658.75

Explanation:

initial mass = 11600

weight=

mass x acceleration due to gravity

so weight at surface = mg =

11600kg x 9.8 = 113680

Weight at 596km above surface

change in g due to height

g(h)(new g)=GM/(r+h)²

g(old g)=GM/r²

ratio of gs;

g(h)=GMxr². =r².

g (r+h)²xGM. (r+h)²

g(h)=gx(1-(2h/r))

applying this equation ,

mg(h)=

11600 x 9.8(1-(2 x 596/6.378 x 10^6)

equating , we get

11600x9.798=113658.75