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A person in an artificial satellite of earth feels weightlessness because 

Option: 1

Gravitational force of earth provide the centripetal force to move in orbit 


Option: 2

possess weightlessness due to additional gravitational pull of planet 


Option: 3

both A and B 


Option: 4

none of the above 


Answers (1)

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As we have learned

Weightlessness in satellite -

The acceleration of the satellite is \frac{G M}{r^{2}} towards the centre of the earth.

Let us suppose a body of mass m placed on a surface inside the satellite moving around the earth.

Then force on the body is - 

\begin{array}{l}{\text { (i) The gravitational pull of earth }=\frac{G M m}{r^{2}}} \\ {\text { (ii) The reaction by the surface }=R} \\ {\text { By Newton's law } \frac{G m M}{r^{2}}-R=m a} \\ {\qquad \frac{G m M}{r^{2}}-R=m\left(\frac{G M}{r^{2}}\right) \quad \therefore \quad R=0}\end{array}

As the reaction becomes 0.

And from the Laws of motion, we know that the reaction on a body will give its weight.

So, the body will feel weightlessness in the satellite. 

So the answer is option A which says

gravitational force provide require centripetal force so that a satellite can move in its orbit  .

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Sayak

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