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Motion In Straight Line

Question
CBSEENPH11017825
Wired Faculty App

How much below the surface does the acceleration due to gravity become 70% of it's value on the surface of the earth. Radius of the Earth = 6.4 x 106 m. 

Solution

Here, 
g'/g = 70 / 100 = 7/10 ; d = ? 
Now, g' = g(1-d/R);
Therefore, 
fraction numerator straight g apostrophe over denominator straight g end fraction space equals space 1 space minus space straight d over straight R 7 over 10 space equals space 1 space minus space straight d over straight R straight d over straight R space equals space 1 space minus space 7 over 10 space equals space 3 over 10 straight d space equals space fraction numerator 3 straight R over denominator 10 end fraction space equals space fraction numerator 3 space straight x space 6.4 space straight x space 10 to the power of 6 over denominator 10 end fraction space space space space space space space space space space space space space space space space space space equals space 1.92 space straight x space 10 to the power of 6 space straight m 

Some More Questions From Motion in Straight Line Chapter

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

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?

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