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According to Newton's law of gravitation, earth'sgravitational force is higher on an object of larger mass.Why doesn't that object fall down with higher velocityas compared to an object with lower mass?​

Answer» <html><body><p><strong>Answer:</strong></p><p>ut there are a couple of things to think about here. One, it isn’t velocity you want to <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> about, but acceleration. That is, the velocity of something that falls keeps changing - so you want to know about the rate at which it changes as a measure of how it falls. Two, the acceleration of an object in free fall can be obtained by combining Newton’s gravitational <a href="https://interviewquestions.tuteehub.com/tag/force-22342" style="font-weight:bold;" target="_blank" title="Click to know more about FORCE">FORCE</a> law and his second law of motion.</p><p></p><p>Newton’s law of gravity definitely says that the mutual gravitational force between two objects is proportional to both masses and inversely proportional to the square of their separation. That is,</p><p></p><p></p><p>Near the surface of the Earth, that can be written</p><p></p><p></p><p>So, as you said, the gravitational force depends on the mass m of the object you dropped, where G is a constant, and M and R are the mass and <a href="https://interviewquestions.tuteehub.com/tag/radius-1176229" style="font-weight:bold;" target="_blank" title="Click to know more about RADIUS">RADIUS</a> of the Earth.</p><p></p><p>But if that is the only force that is acting on the mass you drop, then Newton’s second law says that the force must equal the mass of the object <a href="https://interviewquestions.tuteehub.com/tag/times-1420471" style="font-weight:bold;" target="_blank" title="Click to know more about TIMES">TIMES</a> its resulting acceleration - that is, F=ma or that the acceleration is given by a=F/m.</p><p></p><p></p><p>And that acceleration when an object is dropped near the surface of the Earth is <a href="https://interviewquestions.tuteehub.com/tag/independent-505826" style="font-weight:bold;" target="_blank" title="Click to know more about INDEPENDENT">INDEPENDENT</a> of the mass of the object itself if there are no other forces. So in that absence of other forces, all objects fall with the same gravitational acceleration.</p><p><strong>Explanation:</strong></p><p></p></body></html>


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