Question

2. A person weighs 80 N on the surface of the Earth. What should be the distance of the person from the centre of the Earth, such that his weight is 5 N? Radius of the Earth is 6400 km. ​

Answer 1

Answer:

9400km

Explanation:

W= mg

80=m×10

m= 8kg

g at height h = gh= g(1-2h/r)

weight 'Wh' at height h = m×g(1-2h/r)= 5N (*given)

= 8×10(1-2h/6400)= 5N

= 8 × 10 × (6400-2h)/6400

=(6400-2h)/80 = 5N

--> 6400-2h= 400

2h= 6000

h= 3000km

distance from centre will be r+h= 9400km

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