Question

Consider an object of mass 50 kg. Estimate the weight of the object at a distance R, 2R,
4R, 6R and 10R from the centre of the earth. Plot a graph showing the weight of the
object with respect to the distance from the centre of the earth. What would happen to the
graph if the earth shrinks to half of its radius. Show on the graph how the mass of the
object varies with distance. What specific conclusions will you be able to draw from the
observations of the graph. List all your conclusions drawn.
(See Lesson 5)​

Answer 1

Answer:

We know that-

g=

R

3

GMx

for x<R= radius of earth

And g=

x

2

GM

for x≥R

At surface, g=

R

2

GM

=9.8m/s

2

At half the radius of earth, x=

2

R

g

′

=

R

3

GMx

=

R

3

GM

2

R

=

2

1

R

2

GM

⟹g

′

=4.9m/s

2

and hence weight will also get halved.

∴weight=125N

Explanation:

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