Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : An astronaut in an orbiting space station above the earth experience weightlessness.
Reason (R) : An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.
In the light of the above statements, choose the correct answer from the options given below
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : An astronaut in an orbiting space station above the earth experience weightlessness.
Reason (R) : An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.
In the light of the above statements, choose the correct answer from the options given below
- If both Assertion and Reason are true and Reason is correct explanation of Assertion.
- If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
- If Assertion is true but Reason is false.
- If both Assertion and Reason are false.
The Correct Option is A
Solution and Explanation
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Concepts Used:
Newtons Law of Gravitation
Gravitational Force
Gravitational force is a central force that depends only on the position of the test mass from the source mass and always acts along the line joining the centers of the two masses.
Newton’s Law of Gravitation:
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
- Inversely proportional to the square of the distance between their center i.e. (F ∝ 1/r2) . . . . (2)
By combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]