Question

If the radius of earth is 6400 km, what will be the weight of 50kg body, if it is taken to a height of 6400km above the sea level

Please give correct answers​

Answer 1

Answer:

100 kg

Explanation:

Answer 2

Given,

the radius of the earth, R = 6400 km

mass of the object, m = 50 kg

height above the sea level, h = 6400 km

To find,

The weight 'w' of the object at height h.

Solution,

R = 6400 km = 6400×$10^{3}$ m

Weight of any object = mass of the object × gravity at that place

                                   = m×g

∴Weight 'w' of the object at height h = $m$×$g_{h}$  ____ (1)

where,

$g_{h}$ = gravity at height h

⇒ $g_{h}$ = $g$$(R/R+h)^{2}$ ____ (2)

From (1) and (2),

w = $m$$g$$(R/R+h)^{2}$

putting all the values,

  w = $50X 9.8(6400/6400+6400)^{2}$

⇒w= 50×9.8×1/4

⇒w= 123.75 N

∴ The weight of the body at the height 6400km above the earth's surface will be 123.75 N