hey
see the given attachment
=_=
Attachments:
JinKazama1:
Next Time please write the question along with attachment, so it will be easily search able on Google.
Answers
Answered by
3
Assumptions :
1) Tunnel is so small, that we can neglect the effect of Gravitational due to lack of it.
Understanding :
1) Here, mass is uniformly distributed ( density constant) , so we will divide earth into small spherical shells .
2) First we will find the force due to spherical shells which hav^ radius less than 'r':
Then, after those which have more than'r'
.
3) Force due to spherical shells will be zero which radius more than 'r'.
As, It is analogous to Gauss law which we saw in Electrostatics.
That is, Electric Field inside the spherical shell is zero .
So, we will integrate till r only.
For Calculation see pic.
Since, we asked about Force whose magnitude is shown in Pic attached to it.(Option 2) .
Direction :
It will act radially inward towards the centre of the earth.
My drawing is bad try to understand the process.
1) Tunnel is so small, that we can neglect the effect of Gravitational due to lack of it.
Understanding :
1) Here, mass is uniformly distributed ( density constant) , so we will divide earth into small spherical shells .
2) First we will find the force due to spherical shells which hav^ radius less than 'r':
Then, after those which have more than'r'
.
3) Force due to spherical shells will be zero which radius more than 'r'.
As, It is analogous to Gauss law which we saw in Electrostatics.
That is, Electric Field inside the spherical shell is zero .
So, we will integrate till r only.
For Calculation see pic.
Since, we asked about Force whose magnitude is shown in Pic attached to it.(Option 2) .
Direction :
It will act radially inward towards the centre of the earth.
My drawing is bad try to understand the process.
Attachments:
Thanks genius
My pleasure:)
Now, It's Better Answer (edited) as I forgot to mention direction of force
Similar questions