Pressure of an ideal gas

[gracy]

can someone help me .In this video from 2.00 to 3.00 how the velocity vector drawn with red color can be broken into x-y-z components and why after bouncing back only x component of velocity changed and y ,z components remained same?

 

[Chestermiller]

can someone help me .In this video from 2.00 to 3.00 how the velocity vector drawn with red color can be broken into x-y-z components and why after bouncing back only x component of velocity changed and y ,z components remained same?

It's bouncing off a y-z plane. Just bounce a ball off a vertical wall, and see which components reverse and which components remain the same. Only the component normal to the plane reverses.

Chet

 

[gracy]

It's bouncing off a y-z plane. Just bounce a ball off a vertical wall, and see which components reverse and which components remain the same. Only the component normal to the plane reverses.

Chet

how the velocity vector drawn with red color can be broken into x-y-z components ?

It's bouncing off a y-z plane.

how you came to know that?

 

[Chestermiller]

how the velocity vector drawn with red color can be broken into x-y-z components ?

You can always resolve a vector into components.

how you came to know that?

You can see in the figure that the wall that it bounces off is parallel to the y-z plane.

Chet

 

[gracy]

You can always resolve a vector into components.

i know how to resolve vectors but only in 2 dimensions.

 

[Chestermiller]

i know how to resolve vectors but only in 2 dimensions.

Well, it can be done in 3 dimensions too.

Chet

 

[gracy]

Well, it can be done in 3 dimensions too.

Chet

can all vectors be resolved in 3 dimensions?

 

[Chestermiller]

can all vectors be resolved in 3 dimensions?

Yes. In 3D space, all vectors can be resolved into combinations of 3 linearly independent components.

Chet

 

[gracy]

Yes. In 3D space, all vectors can be resolved into combinations of 3 linearly independent components.

Chet

but only vectors which are in 3d ,for example this kind of vector (in the image below) can only be resolved in 2d i.e only with two perpendicular component.right?

 

[Chestermiller]

but only vectors which are in 3d ,for example this kind of vector (in the image below) can only be resolved in 2d i.e only with two perpendicular component.right?

All that means is that the component out of the paper is zero.

Chet

 

[gracy]

All that means is that the component out of the paper is zero.

Chet

ok if any vector is coming out of page ,what it's x component would be?i can only imagine it in y z plane.

 

[Chestermiller]

ok if any vector is coming out of page ,what it's x component would be?i can only imagine it in y z plane.

If the vector is through the origin, then you drop a normal from its tip to each of the three coordinate axes to get its x, y, and z components.

Chet

 

[gracy]

its tip

From Tip of vector which has to be resolved?

 

[Chestermiller]

From Tip of vector which has to be resolved?

Yes.