one in gravitation

A body of superdense material with mass twice the mass of earth butsize very small compared oto the size of earth starts from rest from h<<R above the earth's surface. It reaches earth in time

186 Answers

11
Anirudh Narayanan ·

g'= 2GM/R2= 2g

h= 0+ 1/2.g'.t2
Thus, t= √h/g

Hope i'm not wrong. :)

3
msp ·

hey aragorn the same thing was done by me. your ans is wrong. the answer is √2h/3g

11
Anirudh Narayanan ·

Do u know how, sankarapandian? Any solutions given?

3
msp ·

ok i wil post if i get

3
msp ·

ok here is the solution

They will meet at centre of mass.the masses will meet at a height of h/3

s=1/2gt2

and t=√2h/3g

3
msp ·

Aragorn sorry for the 14. i have mistyped that one. and can u explain me why is ur soln is wrong

3
msp ·

please reply for my question

11
Anirudh Narayanan ·

Is it bcos g' keeps varying?

3
msp ·

but the g variation can be neglected since h<<<R

11
Anirudh Narayanan ·

i took earth to b stationary

3
msp ·

am i right aragorn

11
Anirudh Narayanan ·

If h<<< R, how will center of mass be h/3?

1
Pavithra Ramamoorthy ·

are u sure abt the solution????????/

3
msp ·

am i right aragorn

11
Anirudh Narayanan ·

Thalaiva, if h<<< R, how will center of mass be h/3?

TRANSLATION FOR NEXT POST:
I'm not able to understand what u're saying. please explain what's the relation between position of center of mass and the condition h<<R

3
msp ·

what is the relation between the center of mass and the condition h<<<R. reply me

3
msp ·

Ram kumar i m sure it is a question in mtg which was published by momentum academy

11
Anirudh Narayanan ·

Ippo..........rendu massukkum nadula distance h irundha h/3 is correct. But rendu massukkum nadula distance h illaiye, R+h (≈R) dhane?

FOR THIS POST:
Now, h/3 will be correct if the distance between the masses is h. But the distance is R+h (≈R).

FOR NEXT POST:
It's given in the question that the distance between the masses is h

3
msp ·

the distance betweeen the mass s is h as given in the question

3
msp ·

why do u take the earth to be stationary. they r under mutual gravitation

11
Anirudh Narayanan ·

distance between masses doesn't matter. Distance between center of masses is not h.

About taking earth is stationary: MY MISTAKE, SORRY

3
msp ·

aragorn i accept that my soln is wrong because the center of mass is not h/3 from the center of the earth . I think our soln is also wrong because the earth will move . So can u provide me a correct soln

1
Pavithra Ramamoorthy ·

D DISTANCE BETWEEN BOTH D CENTRES IS ALMOST = R

3
msp ·

the center of mas will be at a distance of R/3 from the mass 2m . will the mass will go inside the surface of the earth

3
msp ·

ram kumar thalaivarey neenga correctuthan. i have one doubt what is the reason for the two masses to meet at the center for mass

1
Pavithra Ramamoorthy ·

HEY IF R s d RADIUS OF EARTH?????????????????????????

3
msp ·

it is like a child's reply Aragorn

1
Pavithra Ramamoorthy ·

i didn say dat two centres ll meet......... i said they r separated by a distance R.........

3
msp ·

i think the given pbm cant be solved we have to consider the type of collision.Am i rite aragorn and ramkumar

11
Anirudh Narayanan ·

Yes. R is radius of earth

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