Recent content by Tubefox

Aha! I suspected t was something like that (I was thinking Gauss' Law), but I couldn't quite make the connection. I will attempt that solution when I get home, thank you! And yeah I realize that I should've plugged (4/3)pi R^3 in there, like I said, I had just woken up and was not in a state of...

Thanks for the reply. I think I see what you're saying. Since we have uniform density, we just have: $$M=4\pi R^2 \rho$$ And since it's on the surface, the distance is just R So $$F=4mg\rho \pi$$ (Note I'm not sure that's exactly right but I woke up a few minutes ago so I can't quite get my...

Homework Statement Jupiter has a core of liquid metallic hydrogen, with uniform density $\rho_c$, with radius $R_c$. This is surrounded by a gaseous cloud $R_g$, where $R_g>R_c$. Assume the cloud is of uniform density $\rho_g$. The problem also specifies that we are to assume both regions of...

x_F Says right there in the procedure that it's at x_F It's equal to the time it takes the front of the rocket to reach x_F

No, that is not a typo. At least not on my part.

Homework Statement A traveler in a rocket of length 2d sets up a coordinate system S' with origin O' anchored at the exact middle of the rocket and the x' axis along the rocket’s length. At t' = 0 she ignites a flashbulb at O'. (a) Write down the coordinates t'_F, x'_F, and t'_B, x'_B for...

Oh, yeah, you're absolutely correct. Thank you so much - I didn't realize that you could use the surface area, and needless to say the fact that the only similar problem I could find involved a triple integral did not exactly help me maintain confidence that I could solve it. Thanks.

Homework Statement A sphere with radius .175 cm has a density ρ that decreases with distance r from the center of the sphere according to ρ= ((2.75*10^3) kg/m^3) - ((9.25*10^3) kg/m^4)r A) Calculate the total mass of the sphere. B) Calculate the moment of inertia for an axis along...

-2((1/((x^2 + 1)^2 )) - ((4x^2 )/(x^2 +1)^3 )) = 6x^2-2/(x^2+1) This is actually the last step of this problem. I understand everything they did up until here, but I'm a bit confused as to how they got from their last step, to the actual answer. Could someone explain?