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The moon moves around the earth in a circular orbit with a period of 27 days. The radius of the earth (R) is 6.4 × 106 m and the acceleration due to gravity on the earth surface is 9.8 ms-2. If D is the distance of the moon from the center of the earth, the value of D/R will be _____.
(Specify your answer upto one digit after the decimal point.)
    Correct answer is between '59.0,60.0'. Can you explain this answer?
    Most Upvoted Answer
    The moon moves around the earth in a circular orbit with a period of 2...
    The period of the moon's orbit around the earth is 27 days. This means that it takes the moon 27 days to complete one full revolution around the earth.

    The radius of the earth (R) is 6.4 million meters.

    To find the speed at which the moon is moving in its orbit, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius.

    The circumference of the moon's orbit is equal to the distance the moon travels in one period, which is 27 days. Therefore, we can calculate the speed of the moon by dividing the circumference by the period: v = C / T.

    The circumference of the moon's orbit is equal to 2π times the radius of the orbit: C = 2πR.

    Substituting the values we have: v = (2πR) / T.

    Using the given radius of the earth (R = 6.4 million meters) and the given period of the moon's orbit (T = 27 days), we can calculate the speed of the moon:

    v = (2π * 6.4 million) / (27 * 24 * 60 * 60) = 1,022.4 meters per second.

    Therefore, the moon moves around the earth in a circular orbit with a speed of approximately 1,022.4 meters per second.
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    The moon moves around the earth in a circular orbit with a period of 27 days. The radius of the earth (R) is 6.4 × 106 m and the acceleration due to gravity on the earth surface is 9.8 ms-2. If D is the distance of the moon from the center of the earth, the value of D/R will be _____.(Specify your answer upto one digit after the decimal point.)Correct answer is between '59.0,60.0'. Can you explain this answer?
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    The moon moves around the earth in a circular orbit with a period of 27 days. The radius of the earth (R) is 6.4 × 106 m and the acceleration due to gravity on the earth surface is 9.8 ms-2. If D is the distance of the moon from the center of the earth, the value of D/R will be _____.(Specify your answer upto one digit after the decimal point.)Correct answer is between '59.0,60.0'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The moon moves around the earth in a circular orbit with a period of 27 days. The radius of the earth (R) is 6.4 × 106 m and the acceleration due to gravity on the earth surface is 9.8 ms-2. If D is the distance of the moon from the center of the earth, the value of D/R will be _____.(Specify your answer upto one digit after the decimal point.)Correct answer is between '59.0,60.0'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moon moves around the earth in a circular orbit with a period of 27 days. The radius of the earth (R) is 6.4 × 106 m and the acceleration due to gravity on the earth surface is 9.8 ms-2. If D is the distance of the moon from the center of the earth, the value of D/R will be _____.(Specify your answer upto one digit after the decimal point.)Correct answer is between '59.0,60.0'. Can you explain this answer?.
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