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A mass 25kg has its Gravitational potential seven times another Mass when it is 60km from the surface of the Earth
What is the Height of the second mass above The earth surface
Cc:Seun

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Been Solving this for Almost 30mins

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Flamees:
A mass 25kg has its Gravitational potential seven times another Mass when it is 60km from the surface of the Earth
What is the Height of the second mass above The earth surface
Cc:Seun

Are these grammars not too big "Gravitational Potential"

Flamees:
A mass 25kg has its Gravitational potential seven times another Mass when it is 60km from the surface of the Earth
What is the Height of the second mass above The earth surface
Cc:Seun

Gravitational potential = GM/R , that is the formula u will use.
See both G and Mass of the earth are constant, G is universal gravitational constant while M is the mass of the earth.
Interpreting mass 25kg has its Gravitational potential seven times another Mass
GM/R = 7 x GM/R2
You know G and M will cancel each other
Then we have
1/R = 7/R2 cross multiply, R stand for the height of the first mass while R2 stands for the height of the second mass
R2= 7R
But the height of the first mass is 60km, then R2=7 x 60 = 420km
Mind you, all objects fall under the same acceleration on earth regardless of the mass, that's why the mass given there is useless. Know this too, the higher the potential , the lower the height or altitude and the lower the potential , the higher the altitude, thats why the second objects height is higher than the first.
I am offering an online tutorial on physics, mechanics, chemistry and maths. If u wish to join u can message me. I am taking waec online tutorial or if u are in 100 level , I can help u in mechanics.

CALCULUS16:
Gravitational potential = GM/R , that is the formula u will use.
See both G and Mass of the earth are constant, G is universal gravitational constant while M is the mass of the earth.
Interpreting mass 25kg has its Gravitational potential seven times another Mass
GM/R = 7 x GM/R2
You know G and M will cancel each other
Then we have
1/R = 7/R2 cross multiply, R stand for the height of the first mass while R2 stands for the height of the second mass
R2= 7R
But the height of the first mass is 60km, then R2=7 x 60 = 420km
Mind you, all objects fall under the same acceleration on earth regardless of the mass, that's why the mass given there is useless. Know this too, the higher the potential , the lower the height or altitude and the lower the potential , the higher the altitude, thats why the second objects height is higher than the first.
I am offering an online tutorial on physics, mechanics, chemistry and maths. If u wish to join u can message me. I am taking waec online tutorial or if u are in 100 level , I can help u in mechanics.

Thank you Sir I appreciate
How do you take your Online Class ?

Truvelisback:
Are these grammars not too big "Gravitational Potential"

u don see am na

CALCULUS16:
Gravitational potential = GM/R , that is the formula u will use.
See both G and Mass of the earth are constant, G is universal gravitational constant while M is the mass of the earth.
Interpreting mass 25kg has its Gravitational potential seven times another Mass
GM/R = 7 x GM/R2
You know G and M will cancel each other
Then we have
1/R = 7/R2 cross multiply, R stand for the height of the first mass while R2 stands for the height of the second mass
R2= 7R
But the height of the first mass is 60km, then R2=7 x 60 = 420km
Mind you, all objects fall under the same acceleration on earth regardless of the mass, that's why the mass given there is useless. Know this too, the higher the potential , the lower the height or altitude and the lower the potential , the higher the altitude, thats why the second objects height is higher than the first.
I am offering an online tutorial on physics, mechanics, chemistry and maths. If u wish to join u can message me. I am taking waec online tutorial or if u are in 100 level , I can help u in mechanics.

But sir I taught R is the radius of The Earth

The confusing part there is that
We were giving the formula as
-GM/R+H

Where H is the Height
And according to the Question
We are looking for The Mas of M2 and it's Height

Flamees:
Thank you Sir I appreciate
How do you take your Online Class ?

Message me here, I will privately give you my number, so that u can join the class

Flamees:
But sir I taught R is the radius of The Earth

The confusing part there is that
We were giving the formula as
-GM/R+H

Where H is the Height
And according to the Question
We are looking for The Mas of M2 and it's Height

No R stands for the distance between the test mass m and the surface of the another mass M which is earth in this case. We use R to denote distance between two quantities in physics, just like couloumbs law , which is synonymous to newtons law of universal gravitation, F= KQq/r^2, u can see that r there stands for distance between the too charges.

Flamees:
But sir I taught R is the radius of The Earth

The confusing part there is that
We were giving the formula as
-GM/R+H

Where H is the Height
And according to the Question
We are looking for The Mas of M2 and it's Height

Wait, you can message me ur number, so that I can add you to the online group

Flamees:
But sir I taught R is the radius of The Earth

The confusing part there is that
We were giving the formula as
-GM/R+H

Where H is the Height
And according to the Question
We are looking for The Mas of M2 and it's Height

Potential energy is P.E = -GMm/r
From this equation
P.E = gravitational potential x mass of the object
Interpreting first statement
Let V represent the potential of first mass
So
7V x mass of 1st object = V xmass of second object
V cancel V
Mass of first object is 25kg
25 x 7 =mass of second object
Mass of second object = 25 x 7 =175kg

CALCULUS16:
Potential energy is P.E = -GMm/r
From this equation
P.E = gravitational potential x mass of the object
Interpreting first statement
Let V represent the potential of first mass
So
7V x mass of 1st object = V xmass of second object
V cancel V
Mass of first object is 25kg
25 x 7 =mass of second object
Mass of second object = 25 x 7 =175kg

@Calculus, your answer looks more plausible..... The original solver tried as well; I don't seem to remember these to things very well again