at-the-surface-of-earth-an-object-of-mass-m-has-weight-w-if-this-object-is-transported-to-an-altitud

Question

At the surface of Earth, an object of mass m has weight w. If this object is transported to an altitude that is twice the radius of Earth, then at the new location, 
(A) its mass is $m$ and its weight is $w / 2$
(B) its mass is $m / 2$ and its weight is $w / 4$
(C) its mass is $m$ and its weight is $w / 4$
(D) its mass is $m$ and its weight is $w / 9$

Khoobchandra Agrawal · Accepted Answer

weight of the body on the surface of art. Eight mg weight of the body at a height H meter Ever put the ground that is height is given to work. It becomes one by night. Hence Moss is seen new weight becomes one night of its initial V. So all set d is correct. Yeah, there. Thanks for

Ze-Han Lee · Answer

So in this problem on the surface of the earth, we measure object, always mess am with wait w So I am and w All right. So if we put this object Ah Ah so right over a year we&#x27;re so this is the center of the earth and this is the radius R and ah, this is from the object to the senses too, Are okay so we can see that the mass of the objection I&#x27;ll change because the massive amounts of the object only depends on the object itself. So it&#x27;s 2 a.m. But the weight we&#x27;re change so only go prime basically put to the relative gravitational force between this object and the earth. So this is called G times and times Am the rabbi Ah to R squared, right. So the capital ami is the mass of the earth and a small M is the mass of the object. So we see that at this equal when we&#x27;re full times G and and over our squid, which is one more four times w right. So we&#x27;ve seen in the mass of the object that&#x27;s not changed. But to the wheat decrees that degrees by a factor of four. Okay,

Abhishek Jana · Answer

Let&#x27;s just see how the wheat is measured. So let&#x27;s say a person has wait a mo are person has mass am on da so his weight will be G s o He&#x27;s weighed on surface will be g times the mass of the person times mass of the earth divided by the radius of the earth. So if we draw them diagram here So here&#x27;s ah, the earth and that&#x27;s the centre. So from center to the surface, the radius is R E and the total mass is M E and her person is standing on the surface of the earth and with wait em, then we&#x27;ll be using this equation. Tau calculate his weight. Now we have four different conditions. First is when the arts radius Our earth&#x27;s mass is twice off its present mass. So that means our new art mass will be twice of it. But the sizes unchain ged. So the new weight will be g times my eyes times. That&#x27;s twice the mass apart. So to m e divided by ah, the radius is seem so r e squared. And from here we get the waiter&#x27;s twice off the initial it. So we&#x27;re considering this as our initially when Wei have the standard situation Now then, in the second condition, when the radius is half, we have the new it as g times mass. Now the masses unchanged. But the radius is half off. What&#x27;s the initial radius? Wass? So we&#x27;ll have this equation and that gives us four times the initial wait on the standard weight. All right, for case three, our radius is half and on top of it, our masses have to as well. So our new weight will be g times, M times mass of the Earth by two, divided by R E by two. And then if we calculate this, we see that it&#x27;s twice thie standard week. And for the final situation, where everything is doubled, the wait will be g times M times twice off. It&#x27;s mass than twice off the initial radius, so that will give us the way. It w by two are half of the standard rate. Yeah, Thank you.

Mayukh Banik · Answer

we have. The gravitational acceleration equals G M over our square now G prime e with the G times the masses double solely apart to him on the radius. Ease cut into half, sort of our two squared, so that would become eight G. It was eight times 9.8 major for a second square, so that will come out to be 78 point four major, but second spread.

Averell Hause · Answer

so here the mat for part of the mass can be found by simply dividing the weight by the gravity and this would be equaling 2 22 Newton&#x27;s. This would be divided by 9.8 meters per second squared and this is giving us 2.2 kilograms. We convince safer part rather continuing on the gravitational force would be equaling mg and this would be equaling 22.2 kilograms. However, here now the gravitational forces actually 4.9 meters per second squared. So this is the equaling 11 Newtons. So part be again. As noted, Emma&#x27;s equaling 2.2 kilograms for part B for part C. At a place where the gravity here is zero, we can automatically say that the gravitational force is also gonna be zero. However, for part D, the mass will still be equaling 2.2 kilograms because mass is independent of the acceleration due to gravity, that is the end of the solution. Thank you for watching

Shoukat Ali · Answer

this problem, we&#x27;re going to kill clear the tradition insulation in the matter At this triple well, the radius is kept constant. So they said that African exploration is Do you want in order to kill Claire this graduation explanation? Let&#x27;s point collaboration with aggression it on the surface off that is G and it is equals to Captain G. I mean, you wanted by bodies Quit when setting will it into the square weaken right It does. 6.67 much laboratories bar minus 11 you 10 meter square. But can you square into the mess of first? Images equals to 5.97 multiplied with Tony&#x27;s power 24 kg. Do what you buy the radio so far that is equals to 6.3 at multiplied by terrorists power six meter or square. So this will be ready for this year as vehicles to 9.0 meter parts can square bullets right Relation for this you want as do one equals two capital g into but the message, you know, triple So we can white here three m e you wanted by audience square So this can be written as do one equals two Trian do g m e d wanted by on the squid. But it could be the tenacity. One equals two treaty When setting well, you off this energy into this question we can white do you? One equals two three in tow. Mine pointed zero meters per second squared. So this will you want to wait for Do you want? As do you want equals two 29.4 Meet a poor skin square. So this is very quite answer. When would be of this problem? We have to calculate graduation exploration when they&#x27;re radius is triple on message gets in. So this time we need to calculate G two. So for you do we can write you two equals two Oh g m e you wanted by? We have to Are people that would you so forth? That is three Ari all square. So this will be what the Valley 42 as you do equals two When you wanted by nine. Nine into Captain G m e d. Wanted by audience quit. So this committee tenacity two equals two one divided by nine into G on it could be denies it j two equals two When you wanted by nine into nine point it zero meter parts could square. So this will You are the writer for G toe, as you do equals two, uh zero point that my name too. Mine Metaphor Skin Square. On the third part of this problem, we have to kill Clear the collaboration like selection. If it the radio sentimental for both doubled. That is a we need to kill platter g tree. So this time you can write their relation for G three as G tree cools to G into well toe to double the mass off that is to Amy. You wanted by. We have to double that. Williams your foot. So we like to Ari old scratch. So this was what the Valley 43 RG three equals to one divided by two into G o brien Sending William G into the square recon wide relation for do tree has a duty equals 21 by two in tow, 9.0 meters per second squared. So this will do other Valley 43 RG three calls to ah, full point nine May 2 per second squared. So this is very quite answer and off the question. Thank you

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