One dimensional inelastic collision; bullet through block.

[J-dizzal]

Homework Statement

In the figure here, a 12.8 g bullet moving directly upward at 930 m/s strikes and passes through the center of mass of a 8.3 kg block initially at rest. The bullet emerges from the block moving directly upward at 520 m/s. To what maximum height does the block then rise above its initial position?

Homework Equations

m₁v_1i + m₂v_2i = m₁v_1f + m₂v_2f

The Attempt at a Solution

not sure where i went wrong with this one.

 

[SammyS]

Homework Statement

In the figure here, a 12.8 g bullet moving directly upward at 930 m/s strikes and passes through the center of mass of a 8.3 kg block initially at rest. The bullet emerges from the block moving directly upward at 520 m/s. To what maximum height does the block then rise above its initial position?

[ IMG]http://i1164.photobucket.com/albums/q562/falsovero/20150707_211326_zpsglwxmosy.jpg[/PLAIN]

Homework Equations

m₁v_1i + m₂v_2i = m₁v_1f + m₂v_2f

The Attempt at a Solution

[ IMG]http://i1164.photobucket.com/albums/q562/falsovero/20150707_210809_zpsywi6ntir.jpg[/PLAIN]
not sure where i went wrong with this one.

Velocity for block is correct.

Bad algebra in solving for y-y₀ .

 

[Nathanael]

Instead of y-y₀ I will call it h and instead of a, I will call it g.

You wrote the equation v²=2gh... good so far... but then you wrote h=v²-2g

 

[J-dizzal]

Instead of y-y₀ I will call it h and instead of a, I will call it g.

You wrote the equation v²=2gh... good so far... but then you wrote h=v²-2g

I need to take an algebra class, again.

 

[J-dizzal]

why is g positive in this problem? because the bullet is fired straight up and so the accerleration of g is -9.8m/s/s. I can see it works out in the equation for it to be positive, i just don't know the reason why.

 

[J-dizzal]

Thank you

 

[SammyS]

is g positive here? or would it be negative because it in the negative y direction?

So I'm assuming that you resolved the above question, because of your following post.

Thank you

It may be helpful to you and us, if you could learn to use the edit feature and/or the delete feature to alter or to remove a post like Post #5.

 

[J-dizzal]

So I'm assuming that you resolved the above question, because of your following post.

It may be helpful to you and us, if you could learn to use the edit feature and/or the delete feature to alter or to remove a post like Post #5.

Sure, i didnt know about the delete feature. I'll edit it above.

 

[Nathanael]

why is g positive in this problem? because the bullet is fired straight up and so the accerleration of g is -9.8m/s/s. I can see it works out in the equation for it to be positive, i just don't know the reason why.

Because it is really V_f (which you called V) that is zero, and the V₀ is what is 0.6323. So g would be negative but you would also have to subtract V₀² over to the other side and then the negative sign would cancel out.

 

[J-dizzal]

Because it is really V_f (which you called V) that is zero, and the V₀ is what is 0.6323. So g would be negative but you would also have to subtract V₀² over to the other side and then the negative sign would cancel out.

Ok, i think i get it now because the problem is treated as two problems and the v_f i got from the first problem becomes v0 in the next. Thanks.