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Community Discussion Question:
gravitational q (with pic)
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Mechanics
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Message
10 Nov 2007 15:57:37 IST
Subject:
gravitational q (with pic)
pratikanand
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A planet is revolving in an elliptical orbit around the sun as shown in figure. the areal velocity of the planet is ?
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
12 Nov 2007 19:01:27 IST
Subject:
gravitational q (with pic)
pratikanand
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need answer...........
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
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12 Nov 2007 22:46:59 IST
Subject:
gravitational q (with pic)
pratikanand
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anybody, plz....
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
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12 Nov 2007 23:02:31 IST
Subject:
gravitational q (with pic)
netkid07
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the expression was smthng like
2m delta L/delta T
but i m not sure
Who says nothing is impossible.
I've been doing nothing for years !!..............
I know
KUNG FU KARATE
and 47 other dangerous words.............
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12 Nov 2007 23:10:47 IST
Subject:
gravitational q (with pic)
pratikanand
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is that so??
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
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12 Nov 2007 23:16:46 IST
Subject:
Re:gravitational q (with pic)
waterdemon
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Here is the solution.
Let mass of planet be 'm' and that of Sun be 'M'.
Since the angular momentum of the planet is constant so :
mv
1
r
1
= mv
2
r
2
v
1
r
1
= v
2
r
2
The total energy of the planet is also constant,hence:
-GMm/r
1
+ (1/2)mv
1
2
= -GMm/r
2
+ (1/2)mv
2
2
Therefore,
GM(1/r
2
- 1/r
1
) = v
2
2
/2 - v
1
2
/2
GM(r
1
-r
2
/r
1
r
2
) = v
1
2
r
1
2
/2r
2
2
- v
1
2
/2
GM(
r
1
-r
2
/r
1
r
2
) = v
1
2
/2 (r
1
2
/r
2
2
- 1)
Thus we get,
V
1
2
= 2GM(r
1
-r
2
)r
2
2
/
(r
1
2
-r
2
2
)r
1
r
2
V
1
=
[2]
2GMr
2
/r
1
(r
1
+r
2
)
Hope you find it useful,
Rate if useful.
Cheers!!!!!!!!!@@!!!!!!!!!
Always available for help !
But Remember Don't hesitate to ask a good Question but
Be damn serious for Questioning a weak one.
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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12 Nov 2007 23:32:37 IST
Subject:
Re:gravitational q (with pic)
waterdemon
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It just took 5 mins.
Anyways hope it helps.
Cheers!!!!!!!!!!!
Goodnight
Always available for help !
But Remember Don't hesitate to ask a good Question but
Be damn serious for Questioning a weak one.
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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13 Nov 2007 11:45:10 IST
Subject:
gravitational q (with pic)
pratikanand
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but the answer is very simple, dude...... it is v1r1/r2.... lemme check....
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
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13 Nov 2007 12:24:25 IST
Subject:
Re:gravitational q (with pic)
rooney
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@pratik
What you are saying is the answer to the question ~
If velocity at a point r
1
distance away from sun is v
1
, find velocity at a point r
2
away.
The question you asked in the thread asks the areal velocity.
Let areal velocity vector be A`
Let angular momentum vector be L`
L`=2m dA/dt = 2mA`
A`=L`/2m = v
1
r
1
/2 = v
2
r
2
/2
http://14-69-8.blogspot.com
My blog
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13 Nov 2007 20:55:36 IST
Subject:
gravitational q (with pic)
pratikanand
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err..... i was wrong there.....
the answer given in v1r1/2 ... thats why it is driving me crazy....
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
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13 Nov 2007 20:56:35 IST
Subject:
pratikanand
(
574
)
Blazing goIITian
96
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143
rates]
total posts:
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err..... i was wrong there.....
the answer given in v1r1/2 ... thats why it is driving me crazy....
Woods are lovely dark and deep
But i have promises to keep
And miles to go before i sleep
And miles to go before i sleep
" HAVE A NICE DAY "
this reply: 0
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96
![[Thumb - Untitled.jpg]](/upload/2007/11/10/c5092687001f207d3e75241e7bdfe44b_20243.jpg_thumb)
2
2GMr2/r1(r1+r2)
