Question

If the earth were made of lead of relative density 11.3, then what would be the value of g at the surface of earth? Take radius of the earth to be 6.37 x 10⁶m.

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Solution

The acceleration due to gravity at the surface of the earth is given by,

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Here,

straight rho equals 11.3 gm divided by cc space equals space 11300 space kg divided by straight m cubed

straight R equals 6.37 cross times 10 to the power of 6 straight m

straight G equals 6.67 cross times 10 to the power of negative 11 end exponent Nm squared divided by kg squared

Therefore,

straight g equals fraction numerator 4 cross times straight pi over denominator 3 end fraction cross times 6.67 cross times 10 to the power of negative 11 end exponent cross times 6.37 cross times 10 to the power of 6 cross times 11300

equals 20.12 straight m divided by straight s squared

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Motion In Straight Line

If the earth were made of lead of relative density 11.3, then what would be the value of g at the surface of earth? Take radius of the earth to be 6.37 x 10⁶m.

Some More Questions From Motion in Straight Line Chapter

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

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Motion In Straight Line

If the earth were made of lead of relative density 11.3, then what would be the value of g at the surface of earth? Take radius of the earth to be 6.37 x 106m.

Some More Questions From Motion in Straight Line Chapter

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: (a) A kite flying in the sky. (b) The earth revolving around the sun. (c) A train moving along the equator of the earth in clockwise direction. (d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If the earth were made of lead of relative density 11.3, then what would be the value of g at the surface of earth? Take radius of the earth to be 6.37 x 10⁶m.

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.