Recent content by BLaH!

Hello Everyone, If you are grounded and touch an electric fence that is at 10,000V, say, you will experience a shock. What happens if you were to jump in the air when touching the fence? Would you still feel a shock? I'm getting confused because even in the air, your body is still at the...

How do you find the coefficient for a transition from one state to another using the adiabatic theorem? I've looked in a couple different books and their answers are different. Thanks

Since you are traveling 3m/s, the car in front of you is also traveling that fast. Since the rotating tires are giving rise to the car's velocity, the tire's angular velocity is given by \omega = v/R = (3.0m/s)/0.30m = 10 rad/s The period of rotation then is then \tau = \frac{2\pi}{\omega}

Check this out: Air Density

You have three equations: One conservation of energy and two for conservation of momentum (1 for the x direction and 1 for the y direction). Use the components of the velocity in the x and y directions for the conservation of momentum in the x and y direction, respectively. For the conservation...

All you have to do is use conservation of momentum: p_{final} = p_{initial}

The integral you evaluate when calculating work is called a "Path Integral". From the definition of work, W = \int_a^b \vec F \cdot d\vec r = \int_a^b F_x dx + F_y dy + F_z dz Thus you have three integrals: one over each coordinate. So you are right...the integral over F_x only affects...

The force will become infinitely large whenever the denominator of your expression for the force goes to zero. Thus, the singularity occurs at \mu \sin \theta - \cos \theta = 0

Remember the similarity transformation of tensors. If I have a tensor that is given in the x_i basis I can find what that tensor looks like in any other basis (say the x_j basis) by the following T^{x_j} = U^\dagger T^{x_i} U (1) Here, U is a unitary tensor that relates the components of a...

Remember that upon melting or condensing there is a latent heat that must be considered. So for example, when ice melts and is heated to say 25 C, the total heat transferred to the ice is given by the latent heat of fustion (the heat needed to melt solid ice at 0 C to liquid water at 0 C) and...

Let's say you have a differential equation that involves both r and \theta. The way separation of variables works is that you assume that the solution can be written as a product of two functions: one function that is ONLY a function of r and another function that is ONLY a function of \theta...

Remember that momentum is a VECTOR QUANTITY. You have to consider momentum conservation in both the East-West (x) and North-South (y)directions separately. That is, p_{x, initial} = p_{x, final} \ \ \ \ \ p_{y, initial} = p_{y, final} After you find what the final velocities in the x and y...

For the first problem, the air ducts must remove (and replenish) a volume of air given by 3m x 4.5m x 6m in 12 min. Thus the mass flow rate of the system is given by \frac{dm}{dt} = \rho \frac{dV}{dt} = \frac{\rho_{air} V}{t} = \rho_{air} \frac{3\cdot 4.5\cdot 6 \ meters^3}{12 \ min} Of...

Well if the 4th substance is at the same temperature as the other 3 then the 4 substance mixture is already at thermal equilibrium. I guess I would need to know more about the problem to give you a better answer.

What does \tan x equal? Hint: \tan x = \frac{\sin x}{?} You should remember what the "?" is! :-p Anyway, after you make that simplification you will have \int \sec x \ dx Unfortunately this integral is tricky to evaluate and DOES require some special tricks to solve (not integration by...