Question

what happen if the weight of the body if the weight becomes 1/16 at a certain . also consider the radius of the earth to be R​

Answer 1

Question

The height at which the weight of a body becomes 1/6th, its weight on the surface of earth (radius R), is

Answerweight w = mg

m = mass (constent)

w

2

w

1

=

g

2

g

1

;g

1

=

R

2

GM

9

2

=

(R+h)

2

GM

;h = height

So

w

2

w

1

=

R

2

(R+h)

2

putting

W

2

w

1

=16=

R

2

(R+h)

2

⇒

R

R+h

=4⇒1+

2

h

=4⇒

h=3R