What is Magnitude: Definition and 1000 Discussions
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually ten, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and
considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is ten, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of certain powers of two, the magnitude can be understood as the amount of computer memory needed to store the exact integer value.
Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).
Homework Statement
A woman pulls on her suitcase with a force of 105N at an angle of 38 degrees above the horizontal. The coefficients of static and kinetic friction between and suitcase and the floor are 0.273 and 0.117. The mass of the suitcase is 36 kg. what is the magnitude of the normal...
Let's say you are given two vectors, A and B.
How would you find a new vector with the same magnitude as A and the same direction as B. I don't understand this concept. I tried approaching it using vector projections but it didn't feel right.
Cheers
Homework Statement
I'm asked to find the magnitude of the following complex function:
R(j \omega) = 1 + \exp{(-j \omega)} + \exp{(-j2 \omega)} + \exp{(-j3 \omega)} + \exp{(-j4 \omega)}Homework Equations
NoneThe Attempt at a Solution
I did the following but got stuck immediately as I'm not...
Homework Statement
Problem one on this pdf file.
http://www.dtfizzix.com/APEXAMS/Phackets/B-1987-Exam.pdf
Homework Equations
F=ma
ΣFx= ma
The Attempt at a Solution
ΣFx= (m1+m2)a
What are the total forces on of the block labeled M1?
Homework Statement
A ferris wheel at a carnival has a radius of 12 m and turns so that the speed of the riders is 8m/s
a) what is the magnitude of the centripetal acceleration of the riders?
b) what is the magnitude of the net force required to produce this centripetal acceleration for a...
Homework Statement
A lost dog travels 30 degrees south of west for 450m. He then smells some food and sprints at 20 degrees east of north for 600m.
Homework Equations
a) Draw each vector. Label the magnitude and thetas.
b)Calculate the vector components
c) calculate the magnitude of...
Homework Statement
A slender, 200- g bar magnet 15.0 cm long has a magnetic moment of 5.50 A m2. It is held at an angle of 45 o to the direction of a uniform magnetic field. When released, it begins to rotate about its center with an initial angular acceleration of 8.40×103 rad/s2. What is the...
Homework Statement
I'm asked to find the magnitude of a complex function R(jw) = 1 + exp(-jw) + exp(-j2w) + exp(-j3w) + exp(-j4w)
R(jω) = 1 + \exp{(-jω)} + \exp{(-j2ω)} + \exp{(-j3ω)} + \exp{(-j4ω)}
where ω is the angular frequency j is the imaginary number j = \sqrt{-1} and \exp(-jnw)...
Homework Statement
A 12g coin slides upward on a surface that is inclined at an angle of 14degrees above the horizontal. The coefficient of kinetic friction between the coin and the surface is 0.25; the coefficient of static friction is 0.40. Find the magnitude of the force of friction when...
Homework Statement
I'm given a table of vectors A, B, and C of mass, magnitude, direction, x component, and the y component. The weights of 3 masses will apply tensions to 3 cables on a force table, the object is in translational equilibrium.
Given:
Vector A: m=0.2, magnitude=?, direction 30...
Mischievous Joey likes to play with his family's lazy susan (this drives Mom crazy because it is an antique). He puts the salt shaker near the edge and tries to spin the tray at a speed so that the shaker just barely goes around without slipping off. Joey finds that the shaker just barely stays...
A chain consisting of five links, each of mass 0.1 kg, is lifted vertically with a constant acceleration of a = 2.5 m/s2. Find the magnitude of
(a)the force on link 1 from link 2
(b)the force on link 2 from link 3
(c)the force on link 3 from link 4
(d)the force on link 4 from link 5...
[b]1. There is a 45 kg block that is connected to a 30 kg block by a mass-less rope. The surface is frictionless. A force of F=200 N pulls the blocks to the right and in the positive direction. What is the magnitude of the tension T in the rope that connects the two blocks?
[b]2. I am not...
Two vectors A and B have magnitudes A=16 and B=12 units respectively.
A. Find the magnitude of the sum A+B if the angle between the two vectors is 120 degrees.
B. find the angle between the two vectors if the difference A-B has magnitude of 16 units.
Could someone please do a step by...
[b]1. A ball is dropeed from a height of 2.5m and rebounds to a height of 2.1m. If the ball is in contact with the floor for .70ms determine 1: direction and 2: the magnitude of the balls average acceleration due to the floor
I know the equation for average acceleration = change in...
Homework Statement
1. Homework Statement
A 373-kg boat is sailing 13.0 ° north of east at a speed of 2.00 m/s. 32.0 s later, it is sailing 33.0 ° north of east at a speed of 3.90 m/s. During this time, three forces act on the boat: a 33.1-N force directed 13.0 ° north of east (due to an...
A particle undergoes three displacements. The first has a magnitude of 15m and makes and angle of 35 degrees with the positive x axis. The second has a magnitude of 7m and makes an angle of 163 degrees with the positive x-axis. After the third displacement the particle returns to its initial...
Homework Statement
A force of magnitude 7.50N pushes three boxes with masses m1=1.3kg, m2=3.2kg, and m3= 4.9kg as shown in the figure. I want to find the magnitude of the contact forces between boxes 1 and 2, and between boxes 2, and 3. Now, the force, 7.5N is being pushed from right to...
Homework Statement
Forces of 10 N north and 20 N east are simultaneously applied to a 10-kg object as it rests on a frictionless horizontal table. What is the magnitude of the object's acceleration?
Homework Equations
a = \frac {F_{net}}{m}
The Attempt at a Solution
a_{north} = \frac...
i have a question on vector.
does the angle of a vector influence its magnitude?
so if a vector is moved from 30 degrees to 60 degrees does its magnitude change as well ?
any help will be appreciated.
A cannon sends a projectile towards a target a distance 1210 m away. The initial velocity makes an angle 26o with the horizontal. The target is hit. The acceleration of gravity is 9.8 m/s2 .
What is the magnitude of the initial velocity?
Answer in units of m/s
y = viy•t +0.5•ay•t2
vix =...
Homework Statement
Can vectors with 180+(degrees) have a negative magnitude? I'm trying to find components of a vector that is going 260 km, 48 (degrees) south of east. So I'm confused whether the 260 is positive or not because of the -48 degrees.Homework Equations
(\vec{V}) (sin\theta)...
Homework Statement
Orv walks 312 m due east. He then continues walking along a straight line, but in a different direction, and stops 220 m northeast of his starting point. How far did he walk during the second portion of the trip and in what direction?
What is the magnitude?
What is the...
Homework Statement
Two horses pull horizontally on ropes attached to a tree stump. Each horse pulls with a force of magnitude F. If the resultant force (vector R) has the magnitude R = 1.51 F, what is the angle (in degrees) between the two ropes?
Homework Equations
The Attempt at...
Homework Statement
The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force that the sun exerts on the moon is perpendicular to the force that the Earth exerts on the moon. The masses are: mass of sun=1.99 × 1030 kg, mass of earth=5.98 × 1024 kg...
Hi, I need some help
Homework Statement
Three kids are pulling on a poor teddy bear. Andy is pulling with a force of 10N in the North direction. Ben is pulling with %N straight South, and Charlie is pulling with 8N in the West direction
a) which direction will they move
b) In what direction...
Hey guys I'm sort of new to this forum, but I heard it was good so I thought i'd post a few questions hereHomework Statement
The first question I have is not really a problem, but more of a question on the problem itself. I have two 3d vectors which are then subtracted to form a 3d vector in...
astronomy - conceptual, trigonometric parallax
Homework Statement
To determine a star's trigonometric parallax, we need at least 3 measurements of its position relative to much more distanct objects. Explain why this is true. (What else could change its position on the sky?)
Homework...
Homework Statement
find the magnitude and the angle that it makes with the positive x-axis?
http://imageshack.us/photo/my-images/594/unledzmo.png/
Homework Equations
The Attempt at a Solution
The answer that I have is
F= 179.37 at an angle of 91 degrees. Am I right?
I took F1...
I have been thaught that the magintude of the current generated by photons fired at a metal is unrelated to the frequency of the photons but to the photon beam's srength (photons/sec).
I know from the governing equation: E_{\gamma}=\phi+E_{k_{e^{-}}} that the frequency of the photons...
Homework Statement
Suppose vector C = vector A + vector B where vector A has components vector A x = 4, vector A y = 2 and vector B has components vector B x = -3, vector B y = -5.
(a) What are the x- and y- components of vector C ?
I've solved this to figure out that x = 1 and y = -3 for C...
Homework Statement
Consider three charges arranged as shown.
+ + -
1 2 3
What is the magnitude of the electric field
strength at a point 1.5 cm to the left of the
middle charge? The value of the Coulomb
constant is 8.98755 × 10^9N m2/C2.
Answer in units of N/C
q1=8.2 µC= 8.2*10^-6...
A 49.0-g Super Ball traveling at 27.0 m/s bounces off a brick wall and rebounds at 19.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.65 ms, what is the magnitude of the average acceleration of the ball during this time interval?
I converted 3.65...
Homework Statement
A basketball player runs down the court, following the path indicated by the vectors A,B, and C in the figure. The magnitudes of these three vectors are 10, 20 and 7 m . Assume the positive x-axis is directed to the right.
There is a 45degree angle outside of where A...
Two conducting spheres have identical radii. Initially they have charges of opposite sign and unequal magnitudes with the magnitude of the positive charge larger than the magnitude of the negative charge. They attract each other with a force of 0.231 N when separated by 0.5 m.
The spheres are...
Homework Statement
Three vectors are shown in the figure (A = 68.0 ; qB = 54.0°). Their magnitudes are given in arbitrary units. What is the magnitude of the resultant vector?
Homework Equations
here's the image that goes with it
The Attempt at a Solution
well i figure the angle...
Homework Statement
Determine the magnitude of the electric field at a point midway between a -8.1μC and a 8.9μC charge 8.0cm apart. Assume no other charges are nearby.
Determine the direction.
(Answer in two sig figs.)
Homework Equations
E=k/r^2(Q1+Q2)
The Attempt at a Solution
I drew...
In the figure, the net electrostatic force on Q1 is zero. If Q1 = +4.99 nC, determine the magnitude of Qo.
Qo = (r0/r1)^2 * abs(q)*2cos theta
The figure is attached, please help, I'm so lost with physics II
A woman walks 143m in the direction 55° east of north, then 178m directly east. Find the magnitude of the displacement vector.
Answer: 306m
Relevant equations:
I will use vA as a shorthand to represent vector A and ||vA|| to represent the magnitude.
Ax = ||vA||cos(theta)
Ay =...
Vector A has a magnitude of 14.0m and is angled 38.0 degrees counterclockwise from the +x direction. Vector C has a magnitude of 13.2m and is angled at 22.4 degrees counterclockwise to the -x direction. If vector A + vector B = vector C what is (a) the magnitude (b) and angle - relative to +x...
1. Vectors A and B both have a magnitude of 3.0 meters. Find the magnitude and direction of:
a) A+B
b) B-A
c) A-2B
2. additional info...
the problem comes with a picture of a the vectors. It shows the x and y axis. Vector B is going directly along the positive y axis. vector A is...
Hey People just a general question
Is the following necessarily possible?
|z23|=|z|23
Where z is a complex number. I can't think of a reason why not but then again complex numbers have some subtle behaviours.
Thanks
Homework Statement
a force is given by F= 20i - 60j + 90k N. Find its magnitude and the angles it forms with the coordinate axis.
Homework Equations
F = magnitude of F times the unit vector
magnitude is square root (Fx squared + Fy squared + Fz squared)
and the unit vector can be...
Homework Statement
A vector of magnitude 20 is added to a vector of magnitude 25. What could the magnitude of the sum be?
Homework Equations
The Attempt at a Solution
I am given a list of choices. But, it seems to me like it could be just about anything, because I have no idea...
Homework Statement
Compute the magnitude and location of the resultant of the parabolic loading shown in the figure below. The slope of the parabola is zero at the origin.
See figure: http://imageshack.us/photo/my-images/819/prob6.jpg/
Homework Equations
The Attempt at a...
Homework Statement
I attached the drawing.
The force of magnitude F acts along the edge of the triangular plate. Determine the moment of F about point O.
Homework Equations
M=rxF
The Attempt at a Solution
What I did was I just picked the top left point of the triangle and labeled...
Homework Statement
Three charges are arranged as shown in the picture I attached. Find the magnitude and direction of the electrostatic force on the charge at the origin.Homework Equations
I know that Coulomb's Law must be applied.The Attempt at a Solution
I've drawn a force diagram with FCB...
Homework Statement
Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums by light strings from a common point as shown in the figure I attached. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle...
Hi there. So, I was wondering if there is anyway to tell what the perceived magnitude of today's earthquake is, based on my distance from the epicenter. I live around Princeton, so I was about 250 miles north of the epicenter. I was thinking that there might be an equation that describes how...
Homework Statement
Three point charges are arranged as shown in the figure below. (Take q1 = 5.70 nC, q2 = 4.60 nC, and q3 = -2.79 nC.)
(a) Find the magnitude of the electric force on the particle at the origin.
(b) Find the direction of the electric force on the particle at the...