Fightoffyourdemons

There is North West coordinates in this puzzle. Can you figure it out?

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The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.18 μC, x1 = 4.43 cm, y1 = -0.00740 cm and q2 = -4.97 μC, x2 = -2.44 cm, y2 = 2.36 cm. At what (a)x and (b)y coordinates should a third particle of charge q3 = 5.95 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?

What would be the magnitude of the electrostatic force between two 3.2 C point charges separated by a distance of (a) 1.3 m and (b) 1.1 km if such point charges existed (they do not) and this configuration could be set up?

The initial charges on the three identical metal spheres in the figure below are the following: sphere A,Q; sphere B,-Q/6; and sphere C, Q/2, where Q = 2.80 × 10-14 C. Spheres A and B are fixed in place, with a center-to-center separation of d = 3.9 m, which is much larger than the spheres. Sphere C is touched first to sphere A and then to sphere B and is then removed. What then is the magnitude of the electrostatic force between spheres A and B?

Particle 1 of charge +6e is above a floor by distance d1 = 3.80 mm and particle 2 of charge +7e is on the floor, at distance d2 = 7.10 mm horizontally from particle 1. What is the x component of the electrostatic force on particle 2 due to particle 1?

There is some tricky algebra.

Two point charges of 51 nC and -41 nC are held fixed on an x axis, at the origin and at x = 106 cm, respectively. A particle with a charge of 46 μC is released from rest at x = 52 cm. If the initial acceleration of the particle has a magnitude of 117 km/s2, what is the particle's mass?

What would be the magnitude of the electrostatic force between two 3.2 C point charges separated by a distance of (a) 1.3 m and (b) 1.1 km if such point charges existed (they do not) and this configuration could be set up?

The magnitude of the electrostatic force between two identical ions that are separated by a distance of 8.4 × 10-10 m is 294.3 × 10-9 N. (a) What is the charge (in Coulombs) of each ion? (b) How many electrons are “missing” from each ion (thus giving the ion its charge imbalance)?

The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.18 μC, x1 = 4.43 cm, y1 = -0.00740 cm and q2 = -4.97 μC, x2 = -2.44 cm, y2 = 2.36 cm. At what (a)x and (b)y coordinates should a third particle of charge q3 = 5.95 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?

Near HD quality?

Exact answers get exact points

thanks!

Find the unit tangent vector T(t) for the curve given by the vector-valued function r(t)= 2t^2 i + t j +2t^2 k?

one of these could possibly be a correct response...

(1 + 8t^2)^-1/2(2t i + j + 2t k)

(1 + 2t^2)^-1/2( i + t j + t k)

(1 + 5t^2)^-1/2(t i + j + 2t k)

(1 + 32t^2)^-1/2(4t i + j + 4t k)

(1 + 68t^2)^-1/2(8t i + j + 2t k)

(4 + 2t^2)^-1/2(t i + 2 j + t k)

or is it none of these?

Let q, r, s and t be scalar functions of x, y, and z such that all partial derivatives of all orders exists and are continuous. further, let F(x,y,z) = [r(x,y,z0] i + [s(x,y,z)] j + [t(x,y,z)] k. Then div F =rx sy +tz

true or false??

∫C of x^2y^3 dx- xy^2 dy

Where C is the boundary of the square centered at the origin and with vertices (2,2), (-2,2) and (2,-2) and the closed path is oriented counterclockwise

Let C be the line segment from (0,0,0) to (4,3,12)

∫C of (x +y^2 -2z)ds

evaluate :)

Problem:

Set up and evaluate the indicated triple integral in the appropriate coordinate system.

∫∫Q∫ze^(sqrt(x^2+y^2))dv, where Q is the region inside x^2+y^2 = 4 outside x^2+y^2 = 1 and between z=0 and z= 3

Using cylindrical coordinates I saw that the integral becomes the integral

∫(z in [0,3], t in [0,2π], r in [1,2]) (z)(e^r)(r dr dt dz)

= ∫(z in [0,3], t in [0,2π], r in [1,2]) (z)(r)(e^r) dr dt dz

= (2π) [∫(z in [0,3]) z dz] [∫(r in [1,2]) re^r dr]

= (2π)(9/2) [(re^r - e^r) {for r = 1 to 2}]

= 9πe^2.

Calculate the minimum amount of energy, in joules, required to completely melt 206 g of silver initially at 15.2°C. The melting point of silver is at 962°C. Its specific heat capacity is 236 J/kg·K and its latent heat of fusion is 105 kJ/kg.

At what temperature (degrees Celsius) is the Fahrenheit scale reading equal to (a) 5 times that of the Celsius and (b) 1/3 times that of the Celsius?

Evaluate the integral ∫1 to 2 ∫0 to y of xy^2 dx dy =

d the volume of the solid in the first octant bounded above by the plane 8x+2y+z=2 and below by the rectangle on the xy-plane: {(x,y):0< or equal x< or equal 1,0<or equal y<2}

a. 26

b. 27

c. 28

d. 29

e. 30

f. 31

g. 32

h. 33

i. 34

or is it none of these?