Question

draw a graph showing the variation of magnitude of the value of acceleration due to gravity(g) with distance from the center of the earth.​

Answer 1

Answer:

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11th

Physics

Gravitation

Variation in Value of Acceleration due to Gravity

Plot a graph showing the va...

PHYSICS

Plot a graph showing the variation of acceleration due to gravity with the center of the earth.

The weight of a body on the surface of earth is 250 N. Calculate its weight at distance equal to half of the radius of earth below the surface of earth. (Radius of earth =6400 km).

December 27, 2019avatar

Nishar Parveen

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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

solution

Explanation:

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Answer 2

Answer:

11th

Physics

Gravitation

Variation in Value of Acceleration due to Gravity

Plot a graph showing the va...

PHYSICS

Plot a graph showing the variation of acceleration due to gravity with the center of the earth.

The weight of a body on the surface of earth is 250 N. Calculate its weight at distance equal to half of the radius of earth below the surface of earth. (Radius of earth =6400 km).

December 27, 2019avatar

Nishar Parveen

SHARE

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

solution

Explanation:

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