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ace123
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3. In the figure below, two objects of mass m and 2m, are fixed in place on an axis.
(a) Now consider a third particle of mass 5m. Where must this object be placed so that there is zero net gravitational force on it from the first two objects: to the left of the first two objects, to their right, between them but closer to the more massive particle, or between them but closer to the less massive particle? Explain fully.
(b) Repeat (a) for the case where the mass of the third object is 15m.
(c) Is there a point off the axis at which the net force on the third object would be zero? Explain fully.
a. I think it should be placed between them but closer to the less massive particle. Since we need a net force of zero the force by the mass m has to equal the force of mass 2m.
b. I think it's the same as a.
c. Don't fully understand what he means by this question but I'm guessing it would be a distance far away from the 2 masses so the r will be so big that any force will be neglegible.
Is this right? Can someone help me better understand this? Any help will be much appreciated
(a) Now consider a third particle of mass 5m. Where must this object be placed so that there is zero net gravitational force on it from the first two objects: to the left of the first two objects, to their right, between them but closer to the more massive particle, or between them but closer to the less massive particle? Explain fully.
(b) Repeat (a) for the case where the mass of the third object is 15m.
(c) Is there a point off the axis at which the net force on the third object would be zero? Explain fully.
a. I think it should be placed between them but closer to the less massive particle. Since we need a net force of zero the force by the mass m has to equal the force of mass 2m.
b. I think it's the same as a.
c. Don't fully understand what he means by this question but I'm guessing it would be a distance far away from the 2 masses so the r will be so big that any force will be neglegible.
Is this right? Can someone help me better understand this? Any help will be much appreciated