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Maharashtra State BoardSSC (English Medium) 10th Standard

According to Newton’s law of gravitation, earth’s gravitational force is higher on an object of larger mass. Why doesn’t that object fall down with higher velocity as compared to an object

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Question

According to Newton’s law of gravitation, earth’s gravitational force is higher on an object of larger mass. Why doesn’t that object fall down with higher velocity as compared to an object with lower mass?

Short Answer
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Solution

F = ma and F = `(GMm)/(r^2)`

∴ Acceleration, a = `(GM)/(r^2)`

This is unaffected by the object's mass (m). As a result, a heavier object and a lighter object fall at the same speed.

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Chapter 1: Gravitation - Intext Questions [Page 12]

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