Q. An aeroplane flies at constant altitude due south over London. Its speed is 320 km/h and the latitude of London is 51 degrees North. What is the magnitude and direction of the Coriolis acceleration on the aeroplane?
Do I use Coriolis acceleration = 2ω x v to find acc? Is ω = 2π /...
Homework Statement
whats |r'(t)| if r'(t) is <1,2t,3t2>
Homework Equations
The Attempt at a Solution
im finding normal and binormal vectors and i need to divide r(t)/r'(t)
|r'(t)| = sqrt (12+(2t)2+(3t2)2)
how does that simplify down to something that can be an appropriate...
Supposedly, you use a certain type of seismometer. But in that case, how could a deep earthquake far away register as "higher" than a shallow earthquake that's up close? Sure, the deep earthquake may release more energy, but much of it is dissipated by the time it reaches the seismometer (and...
Homework Statement
A 0.42 kg particle moves in an xy plane according to x(t) = - 19 + 2 t - 2 t3 and y(t) = 25 + 8 t - 7 t2, with x and y in meters and t in seconds. At t = 0.6 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of...
Hi,
I'm looking for some help on how the sum of a certain number of vectors can equal zero. I know that the sum of 2 vectors with equal magnitudes but opposite directions will equal zero; 2 vectors of unequal magnitude can never have a sum equal zero; and that three vectors of unequal...
Homework Statement
a square of sides 10cm has four charges at each corner starting clockwise from top right they are 5,10,6 and 3nC. Determine the resultant electric field including magnitude and direction at the centre of the square. Owww and the medium is air. Finally what is the force on...
Dear all,
I'm new here and I'm sorry if my problem has already been discussed anywhere else.
I have some problems in determining the magnitude of space debris as a function of their dimension and distance.
I have to find the visual absolute magnitude of a 30 cm diameter debris, at 36000 km...
Homework Statement
Location A is 3.04m to the right of a point charge q.
Location B lies on the same line and is 3.87m to the right of
the charge. The potential difference between the two locations
is VB - VA = 45.0V . What is the magnitude and sign of the
charge?
Homework Equations...
Homework Statement
Two vectors have equal magnitude of 14.8 m and the angles are theta 1 = 32 deg & theta 2 = 108 deg. Find a) their x component b)their y component of vector sum \vec{}r c) the magnitude of \vec{}r & d) the angle \vec{}r makes with the positive direction of the x axis...
Hi guys, first post (hopefully not only).
If 2 stars are in an apparent binary system, how do you calculate the "combined apparent magnitude" of the system if you know both their apparent magnitudes and their distance from you.
I can work out the apparent magnitude (even though that's not...
Homework Statement
A closed surface with dimensions a = b =
0.254 m and c = 0.4064 m is located as in
the figure. The electric field throughout the
region is nonuniform and given by ~E = (α +
β x^2)ˆı where x is in meters, α = 4 N/C, and
β = 6 N/(C m2).
Picture of object attached...
Homework Statement
The wire in Figure 21-40 carries a current of 12 A. Suppose that a second long, straight wire is placed right next to this wire. The current in the second wire is 28 A. Use Ampère’s law to find the magnitude of the magnetic field at a distance of r = 0.72 m from the wires...
The unit tangent vector, T(t) = r'(t) / || r'(t) || always has length 1. Alright, so how do we get a sense of the length of the actual tangent vector itself? Its direction is easy to imagine, but I can't understand how its magnitude changes along the curve (does it have something to do with...
Homework Statement
A pendulum has a length L = 1.36m. It hangs straight down in a jet plane about to take off as shown by the dotted line in the figure. The jet then accelerates uniformly, and while the plane is accelerating, the equilibrium position of the pendulum shifts to the position...
Homework Statement
Given a sphere of radius R with a uniform charge distribution Q, what is the magnitude of the electric field at a point p0 inside of the circle?
Homework Equations
Flux = 4 pi r^2 E = Q/epsilon
The Attempt at a Solution
So I was watching an MIT lecture online...
Homework Statement
What is the magnitude of the resultant of the following vectors?
5N, East
8N, 30 degrees West of North
2N, East
7.5N, 23.5 degrees West of South
Is there a way to solve this using a calculator? Any help would be great.
Homework Statement
Find the magnitude and direction of 4 concurrent coplanar forces:
10N 32 degrees east of north
35N 50 degrees east of north
25N 72 degrees east of north
85N 40 degrees east of south
Any help would be greatly appreciated.
Homework Statement
Find the magnitude of the resultant of the following series of vectors.
120N, North
190N, 60 degrees East of North
70N, 10 degrees East of South
150N, 45 degrees South of West
I have similar questions like these and not sure how to answer them, if anyone can help...
Homework Statement
Find the magnitude and direction of 3 coplanar forces of:
40N 45 degrees east of south
10N west
70N 35 degrees east of north
This is all new to me so anyone that can show me and hopefully explain how I can get the answer would be great.
Homework Statement
The vector -1.90A has a magnitude of 59.1 m and points in the positive x direction. Calculate the x component of the vector A.
Calculate the magnitude of the vector A.
Homework Equations
3. The Attempt at a Solution
I understand vectors but having a...
Homework Statement
Two forces F1 and F2 are acting on a mass M=4kg. The force F1 = 7i + 6j + 8k, in N. The acceleration of the mass is given by a = 1i + 3j + 2k, in m/s2. Calculate the magnitude of F2 .
Homework Equations
F=ma
The Attempt at a Solution
F1+F2=ma
m=4kg...
Homework Statement
In the sum A+B = C, vector A has a magnitude of 10.0 m and is angled 46.5° counterclockwise from the +x direction, and vector C has a magnitude of 15.0 m and is angled 23.5° counterclockwise from the -x direction. What are the magnitude and the angle (relative to +x) of B...
cross product question.. "find the magnitude of the force"
Homework Statement
A wrench 0.9 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of <0, 3, -2> at the end of the wrench. Find the magnitude of the force in Newtons...
Urgent! Question Problem! Please Help!
1. Homework Statement [/b]
In the sum A-> + B-> = C->, A-> vector has a magnitude of 13.8 m and is angled 44.0° counterclockwise from the +x direction, and vector C-> has a magnitude of 16.8 m and is angled 18.8° counterclockwise from the -x direction...
Homework Statement
The first question that was asked was; What is the total charge of the radon nucleus? (The neutral radon atom has 86 electrons.)
the answer to that is 1.38*10^(-17) C
the second question asked is;
What is the magnitude of its electric field at a distance of 6.0 x10-(10)...
Homework Statement
Given the following force vectors: A is 27 lb at an angle of 28° clockwise from the +x-axis, and B is 44 lb at an angle of 52° clockwise from the +y-axis.
(a) Using the method of components find the magnitude and angle of the vector C such that 2A + C − B results in a vector...
Hi all,
I am conducting some tests on a simulated physical model of a motor/drive axle system. The goal of the experimentation is to come up with some suggestions to reduce the peak magnitude at the resonant frequency by 30%.
Based on the analysis done, a few proposed changes are 1)...
Homework Statement
Points A, B, and C are at the vertices of an equilateral triangle. A certain positive charge q placed at A produces an electric field of magnitude 145 N/C at C. Suppose a second, identical charge is placed at B. What is the magnitude of the new electric field at C...
Homework Statement
If b is added to c = 3.9i + 3.7j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of c. What is the magnitude of b?
2. The attempt at a solution
I've probably just been staring at these problems for too long...
First of...
I know that energy is equivalent to mass and that a proton is many times more massive than an electron and yet the charges are equal in magnitude in both.
How is it the electron is able to match the protons charge with so much less mass? What is it about its configuration that enables it to...
Problem is here http://engineeringhomework.net/statics/FG02_32-03UNP62.JPG
Determine the magnitude and coordinate direction angles of the resultant force.
I don't know where to start on this one.
Homework Statement
Consider a long, uniformly charged, cylindrical insulator of radius R and length l with charge density 1.8x10^-6 C/m^3. The value of the permittivity of space is 8.85419 × 10^−12.
What is the magnitude of the electric field inside the insulate at a distance 1.3cm from the...
Homework Statement
[PLAIN]http://img406.imageshack.us/img406/3756/fmp1.jpg
How do I calculate the magnitude of the sum of these 3 vectors?
Also, how do I find the angles the sum of the vectors make with each axis?
F1 = 260N
F2 = 75N
F3 = 60N
Homework Equations
F = F1 + F2 + F3The Attempt at a...
Homework Statement
A nucleus that captures a stray neutron [in a nuclear reactor, for example] must bring the neutron to a stop within the diameter of the nucleus by means of the strong force.That force, which "glues" the nucleus together, is approximately zero outside the nucleus. Suppose...
Homework Statement
Find the magnitude of the electric force between a Na+ ion and a Cl- ion separated by .5 nm.
Homework Equations
|F| = (kQq)/r^2
The Attempt at a Solution
So the problem I am having with this question is this: my first attempt at a solution was to designate |Q| =...
Homework Statement
Three charges are arranged as shown in the diagram below. Their magnitudes are:
q1 = +2.5 x 10^-17 C
q2 = +3.0 x 10^-17 C
q3 = +3.5 x 10^-17 C
(its a right angle triangle, with 50 cm as the hypotenuse, 40 cm as the horizontal, and 30 cm as the vertical)
Figure image...
A baseball player hits a line drive. Just before the ball is struck, it is moving east at a speed of 37.6 m/s (84 mi/h). Just after contact with the bat, 1.05x10^-3 s later, the ball is moving west at a speed of 51 m/s (114 mi/h). Find the ball's average acceleration.
So i know that to find...
Homework Statement Consider the three displacement vectors A = ( -2i + 3j ) m, B = ( 2i + 7j ) m, and C = ( -7i + 5j ) m. Use the component method to determine the following.
(a) The magnitude and direction of D = A + B + C
|D| = ___ m
θ = ___° (from the +x axis)
(b) The magnitude and...
Homework Statement
The figure shows an electron entering a parallel-plate capacitor with a speed of 5.4×106m/s. The electric field of the capacitor has deflected the electron downward by a distance of 0.618cm at the point where the electron exits the capacitor.
Find the magnitude of the...
Homework Statement
See figure attached for problem statement.
Homework Equations
The Attempt at a Solution
I can see that the y-components of each particle will cancel each other out so we are solely looking at how the x-component forces of each particle affect the field at the...
Homework Statement
A flat, circular annulus of radius 7 m with a hole in the center of radius 2 m is charged on one surface such that the surface charge density varies with the radial distance from the center of the disk by the equation sigma= (r2 + 961)1/2 x 10-6, where is in C/m2 and r is in...
pretty straightforward question. for a long time I've been blindly calculating that intensity is (displacement from zero)^2, but never questioned why.
So why is this? I get that by squaring you get a positive value, which helps in, say, quantum probability calculations, but what's wrong with...
Homework Statement
Find the magnitude of \frac{6t(-3t^2\hat{i}+\hat{j})}{(1+9t^4)^2}Homework Equations
The Attempt at a Solution
I know how to take the magnitude for something simple like 3x \hat{i} + 8y \hat{j} + 2 z \hat{k} but not this. My lecture notes don't give me any examples of how to...
I see that general relativity uses tensors to calculate curvature. How exactly does relativity calculate actual curvature. Are the units of curvature m^-1, like regular curvature units?
For example, using SI units
Ruv - 1/2guvR = (8πG/c^4)Tuv
R00 - 1/2g00R = (8πG/c^4)T00
R00 + R/2 = 8πGρ/c^2...
Homework Statement
A soccer player accelerates a 0.50 kg soccer ball by kicking it with a net force of 5.0 N.
Calculate the magnitude of the acceleration of the ball.
b. What is the magnitude of the force of the soccer ball on the player's foot.
Homework Equations
a=fnet/m...
Homework Statement
A ball of mass 350g is traveling with a speed of 4m/s when it hits at right angles a fixed vertical wall. The ball rebounds with a speed of 3m/s. Find the magnitude of the impulse exerted by the ball on the wall. Using a simple diagram show the direction of velocities and...
Homework Statement
Find the magnitude of momentum of electrons in a straight wire of copper of length 1 meter carrtying a current of 16 ampere.
a) 14.56e-12 kg m/s
b) 29.12e-12 kg m/s
c) 18.2e-11 kg m/s
d) 91e-12 kg m/s
The answer is (d)
Homework Equations
The Attempt at a...
1. Two masses are connected by a light string. The horizontal mass of 2 kilograms is being pulled to the left with a force of 30 Newtons along a frictionless surface. The vertical mass is 1 kilogram. What is the magnitude of the tension in the connection string?
2. Fnet=ma
3. My...
Hi:
I'm wondering where I can find a table with the magnitude and duration of inrush on the many various lighting technologies at the various levels they come in.
Any suggestions?
Thanks!
Homework Statement
If Q=80nC, a=3.0m , and b=4.0m in the figure, what is the magnitude of the electric field at point P?
Homework Equations
EF=k*Q1*Q2 / R^2
The Attempt at a Solution
I'm not sure how to go about solving this problem. Do I use the above equation? I don't have...