Recent content by Pinkk

Homework Statement A cylindrical bucket is being filled with water at the rate of 2 * 10^(-3) m^3/s. The bucket itself is od diameter 1.5 m and height 2.5 m. The bucket has a small circular hole at the bottom, with diameter 3 cm. Therefore even as the bucket is being filled, there is a leakage...

Yes, but how do I prove that x^6 is irrational. I cannot simply say so since it is possible for the sum of two irrationals to be rational.

Prove that http://img705.imageshack.us/img705/2408/aaa12.png is irrational. A user on another forum suggested the following: http://img130.imageshack.us/img130/1352/abcde.png I follow that up to the last sentence. Can anyone clarify for me how to show this proof?

It wasn't technically a homework question, it was a question posed on another forum. So I'm guessing they meant the muzzle velocity, in which case I guess I'm wrong. Thanks though!

That's what I thought, but I keep getting conflicting answers from different people because the question is somewhat ambiguous. I guess this is not a totally related physics question, but if a gun fires a bullet with muzzle velocity X, that's the speed of the bullet relative to the earth...

Homework Statement A person is standing on a train that is moving 200 km/h to the right. The person fires a bullet that travels 200 km/h opposite the direction of the train's movement. How fast is the bullet moving according to the shooter's perspective (assuming there is no gravity, resistive...

But this is a nonconservative force, where the work done DOES differ depending on the path taken. In fact, the question statements after the problem that the work done will differ, and the answers for the work done for each given path are different.

Does that only apply then the path of trajection is along <dx,dy>? Because a previous question related to this problem was to find the work done when going along the x-axis 5 m to the right and then going up to the point (5,5). In that case I did integral from (0,0) to (5,0) of 2ydx plus...

Ah okay, I think I understand now. Thanks again.

Ah, okay, that makes sense. Thank you. :) Edit: But now looking at it, if the total energy is mgy (which is 627.2y), then the equation becomes 0 = 40.5(39.2 - y)^2, making the y= 39.2, which is means the minimum height is when the rope is unstretched. That does not make sense. I was actually...

But why is it (x^2)dx and (2y)dy when the x component is 2y and the y component is x^2?

Okay, and since there is no air resistance, the person is only subjected to conservative forces, and therefore the total mechanical energy of the system is equal to the sum of kinetic and potential energy. So if kinetic energy has to equal 0 J, the minimum height is when the total mechanical...

Homework Statement Starting from rest, a 64.0 kg person bungee jumps from a tethered balloon 65.0 m above the ground. The bungee cord has negligible mass and unstretched length 25.8 m. One end is tied to the basket of the balloon and the other end to the person's body. The cord is modeled as a...

Homework Statement A particle moves from a point of origin on an x,y plane to the point (5,5) with the units of the plane being meters. The force the particle experiences is given by the vector < 2y, x^2 >. Calculate the work done on the particle as it moves from (0,0) to (5,5). Homework...