Recent content by waters

Sorry about that. It should be fine now.

Homework Statement Two capacitors, C1 and C2, are separately charged to 166 C and 348 C, respectively. They are then attached in parallel so that the + plate of one goes to the - plate of the other, and vice versa, as shown on the diagram below (notice how C2 was rotated 180 degrees before...

Thanks. It turns out my work is right, but the formula for energy is .5qV (i.e. C = q/V, so .5CV^2 = .5qV) , not qV.

I do not know what I am doing wrong. Here is my work: q/(кε) = EA, A = 2*pi*rx E = q/(кεA) = q/(2кε*pi*rx) V = -integral of Edr from a to b = -(q*ln(b/a))/(2кε*pi*x) = 1000 V 1000(2кε*pi)/ln(b/a) = q/x (q/x)*10*1000 does not give me the answer. Where did I go wrong?

Homework Statement The inner radius of a spherical insulating shell is c=14.6 cm, and the outer radius is d=15.7 cm. The shell carries a charge of q=1451 E−8 C, distributed uniformly through its volume. The goal of this problem is to determine the potential at the center of the shell (r=0)...

Homework Statement Liquid water, initially at 25.00 °C & 1.000 bar is heated at constant pressure to 95.00 °C, then is compressed at constant temperature to a final pressure at which the volume is the same as the original volume (25.00 °C, 1.000 bar). Calculate the final pressure. M =...

Never mind. The mistake I made was integrate from y = 0 to y = 4 when it should have been from y = 0 to y = -2x + 4.

Homework Statement Find the upward flux of F = <x + z, y + z, 5 - x - y>, through the surface of the plane 4x + 2y + z = 8 in the first octant.Homework Equations ∫∫(-P(∂f/∂x) - Q(∂f/∂y) + R)dA where the vector F(x,y) = <P, Q, R>, dA = dxdy and where z = f(x,y) <-- f(x,y) is the function that...

So we have 4 things: -Scalar Line Integral -integral of f(c(t))||c'(t)||dt from b to a -length of C: integral on curve C of ||c'(t)||dt -Vector Line Integral -integral of F(c(t))●c'(t)dt from b to a -Scalar Surface Integral -surface integral: double integral of f(Φ(u,v))||n(u,v)||dudv on...

Homework Statement Find the outward flux of F = <x + z, y + z, xy> through the surface of the paraboloid z = x^2 + y^2, 0 ≤ z ≤ 4, including its top disk. Homework Equations double integral (-P(∂f/∂x) - Q(∂f/∂y) + R)dA where the vector F(x,y) = <P, Q, R> and where z = f(x,y) <-- f(x,y) is the...

I don't know, but that makes sense.

Which of the following curves have the same projection onto the xy plane? a) <t, t^2, e^t> b) <e^t, t^2, t> c) <t, t^2, cost>

I'm not too familiar with centripetal acceleration at all. But I'm assuming that the centripetal acceleration remains constant. Does this count as 1D motion? If so, how?

Thanks for the reply. So it's true only because centripetal acceleration does not affect tangential velocity? Is it true for objects in 1D? Because this statement is apparently true in all cases.

The acceleration of an object can be non-zero when the speed of the object is constant. This is true. Why? If the velocity is constant, doesn't its derivative have a slope of 0?