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
Four charges equal in magnitude of 20.0 microC are placed on the four corners of a square with side length 0.180m. Determine the electric field at the centre of the square.
(-q) ---------- (+q)
l l
l l
l...
1. A car is driven 80 km west and then 30 km 45 degrees south of west. What is the displacement of the car from the point of origin? (magnitude and displacement)
2. A delivery truck travels 18 blocks north, 10 blocks east, and then 20 blocks south. What is the trucks final displacement from its...
Homework Statement
Vectors A and B both have magnitude M. Joined at the tails, they create a 30' angle. What is A x B in terms of M?
Homework EquationsThe Attempt at a Solution
0? OR M^2? Sqrt(3)M/3?
Homework Statement
[/B]Homework Equations
m1-m2[/SB]=2.5log(ι2/ι1)
m-M=2.5log (d/10)2
3. The Attempt at a Solution
Not sure if my approach and answers are correct
Please help
Homework Statement
What is E in Magnitude and Direction at the center of the square of (fig. 3-7). Assume that q = 10x10-8 C and a = 5 cm
Now I have am not well versed with vectors, I don't like them and they don't like me.
I can not figure out the directions the magnitudes move in.Homework...
Homework Statement
I need to calculate the position and magnitude of the maximum bending moment.
Knows are:
E=210GPa
Homework EquationsThe Attempt at a Solution
I've calculated the following:
R1=33kN
R2=32kN
From the shear force diagram I know that at 2m from R1 at the concentrated load of...
Homework Statement
Three long parallel wires are a distance L = 5.71 cm from one another. (Looking at them, they are at three corners of an equilateral triangle.) The top wire has a diameter of 1.8 mm and is made of copper; it is suspended in air due to the magnetic forces from the bottom two...
https://auddoq.dm2302.livefilestore.com/y2mGb2n5mfKxwU4nZlLmOvyElgDcG0-5GG9dGoP4AbrV1taK31XrOoPmeyf9x9RQZ8kXLi0WG2Etd0-I8bVWqOgVufahONs02hTGFS-SUwBVRyd-ajz5Eza-nrk9yWa7kF6kPFtMdPD6MGIpfwQMhywCLfOOuIO4-3tLe1_KjSf9V0/20150505_234057356_iOS.jpg?psid=1
if the image does not show here's the link...
A ship sails 130 km due north from island A to island B and then 92 km, in the direction 22° south of east, to island C. The ship after that returns directly to island A. Calculate the magnitude and direction of the displacement vector in the last trip. Draw appropriate diagrams.
Homework...
Homework Statement
Let a and b be two unit vectors such that | a + b| = √3. If
c = a+ 2b + 3(a x b), then 2|c| is equal to:
√55
√51
√43
√37
Homework Equations
a x b = |a| |b| sinθ n where n is a unit vector
## | a + b | = \sqrt{a^2 + b^2 + 2abcosθ} ##
The Attempt at a Solution
Found cosθ =...
Do two stars of the same absolute bolometric magnitude have the same absolute visual magnitude?
If this is true; does this mean that two stars with the same power output have the same have the same bolometric magnitude and therefore same visual magnitude?
My physics book mentions that a stars luminosity is its total power output at all wavelengths and that
absolute magnitude is defined as inherent brightness and NOT luminosity.
It then mentions that two stars of the same power output have the same absolute magnitude.
Since luminosity is the...
Homework Statement
Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...
From what I understand, in the equation P=\sigma AT^4, P is the power output of the star which is the energy radiated per second in EM radiation of all frequencies, and I think luminosity is also defined as the energy radiated per second in EM radiation of all frequencies. Therefore luminosity...
Homework Statement
A conducting square loop placed in the xy plane (oriented with its horizontal and vertical sides parallel to the x and y axes) moves to the right across the y-axis at a constant speed of 2.0 m/s, a 0.63-V emf is induced in the loop. If the side length of the loop is 0.30 m...
Homework Statement
A block of mass m = 1.8 kg starts at rest on a rough inclined plane a height H = 8m above the ground. It slides down the plane, across a frictionless horizontal floor, and then around a frictionless loop the loop of radius R = 2.0 m. On the floor the speed of the block is...
Homework Statement
Two blocks are stacked one on top of the other with mass m1 on top and m1/m2= 3.0. There is no friction between m2 and the ground, but the coefficient of friction between m1 and m2 are given by μk= 0.40 and μs= 0.50. For what magnitudes of force acting horizontally on m1 do...
Homework Statement
A square conducting loop lies in the xy plane of an xyz coordinate system. The loop is in a uniform magnetic field that points in the positive z direction and is decreasing at a rate of 0.070 T/s. What are (a) the magnitude of the induced EMF in the loop and (b) the direction...
Homework Statement
Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...
Hello everybody.
If I choose the positive y direction to be vertically downwards, and the positive x direction to be to the right, and take the cross product y cross x, then the direction of the resultant is out of the page (if I draw x and y as lines on paper). The magnitude is yx sin(φ)...
Homework Statement
http://i.imgur.com/COAuag8.png
Homework Equations
Change of momentum and Force = impulse / time.
The Attempt at a Solution
I got 0.325204kg m/s for magnitude of the impulse
and 8.338572195N for average force exerted by the ball on the wall...
Homework Statement
. A circular coil of radius 5.0 cm and resistance 0.20 Ω is placed in a uniform magnetic field perpendicular to the plane of the coil. The magnitude of the field changes with time according to B = 0.50e-20t T. What is the magnitude of the current induced in the coil at the...
Homework Statement
1.In a game a .12kg disk is shot across a frictionless surface . The spring is compressed by 6cm. The spring constant is 230 N/m. What is the magnitude of the spring force?
2. A piece of plastic is attached to a spring. The spring is compressed 2cm and the released. If the...
Hey,
Could anyone explain why Ia/Ib=2.512^(Mb-Ma), Where "Ia" and "Ib" are intensities of star a and star b and "Mb" and "Ma" are the apparent magnitudes of star A and star B?
I thought the formula would be Ia/Ib=(2.512)^(Ma-Mb) because Ia=2.512^Ma and Ib=2.512^Mb.
Thank You
Homework Statement
Learning Goal:[/B]
To practice Problem-Solving Strategy 26.1 for point chargeproblems.
Three positively charged particles, with charges q1=q, q2=2q, and q3=q (where q>0), are located at the corners of a square with sides of length d. The charge q2 is located diagonally from...
Homework Statement
Two 10-cm-diameter charged rings face each other, 25cm apart. The left ring is charged to -17nC and the right ring is charged to +17nC .
A.What is the magnitude of the electric field E⃗ at the midpoint between the two rings?B.What is the magnitude of the force F⃗ on a -1.0...
Why does the magnitude of a ket vector not matter?
The motivation appears to be that a state vector only can decribe a particle, or no particle.
But why shouldn't the magnitude of ket vectors not be used to represent the density of the particles, the average number of particles?
I'm am fairly...
Homework Statement
A 5.0 kg mass is suspended by a rope. A horizontally directed force F is applied to the mass. What magnitude of force is needed to produce an angle of 65˚?
mass = 5kg
angle = 65˚
Homework Equations
F = mgsinx
T = rFsinx
The Attempt at a Solution
[/B]
I tried using the...
In one of MSU’s seven sacks, MSU linebacker Denicos Allen sacked UM quarterback Devin Gardner. Just prior to being sacked, the quarterback was at rest. Just after they collided, the two players were momentarily stuck together and both slide a distance of 1.5 m before coming to a stop. In...
At time t=0 s a 0.362-kg air track glider is moving rightward at 5.1 m/s. At t=2.5 s, it's going leftward at 5.4 m/s. Determine the magnitude and direction of the constant force that acted on the glider during this interval. Give your answer in Newtons. If the force is going rightward, your...
Homework Statement
A straight, nonconducting plastic wire 9.50cm long carries a charge density of 100 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop.
Find the magnitude and direction of the electric field this wire produces at a point 6.00cm directly above...
Homework Statement
A car is traveling a road that makes quarter of a circle with a constant speed s. What is the magnitude of the average velocity v of the car?
Homework EquationsThe Attempt at a Solution
this is what I have down but I am not sure if I am right
*constant speed formula...
A child pulls an 11 kg wagon with a horizontal handle whose mass is 1.8 kg. This results in the wagon and the handle accelerating at 2.3 m/s^2. Find the tension forces at each end of the handle. Why are these different?
Suppose that the mass of the child is 30 kg. What is the magnitude of the...
Homework Statement
V1 and V2 are different vectors with lengths V1 and V2 respectively. Find |V1 X V2| if V1 and V2 are perpendicular.
Homework Equations
V1 X V2 = |V1|*|V2|sin(Θ)
The Attempt at a Solution
Since sin(90) = 1, V1 X V2 = |V1|*|V2|.
When I input this answer it says its incorrect...
Homework Statement
Mike is training for a strongman competition. Using a rope, Mike is pulling a locomotive of mass 2.00 x 10^4 kg coupled to two 0.50 x10^4 kg rail cars. Mike causes the train to accelerate at 0.045 m/s^2 . What is the magnitude of the force in the coupling between the...
Two forces are given and are applied to a car in an effort to accelerate it: 414N at 9 degrees and 340N at 25 degrees. What is magnitude of the resultant of the two forces? Answer in units of N.
So I've added together X= (414cos9) + (340cos25), and got -40.
For the Y, Y= (414sin9) +...
A bomb is released from an airplane flying horizontally at an elevation 1600 ft with a velocity of 294 ft/s.
I don't know how to get the magnitude. Will you please help me?
Homework Statement
A particle with charge q moves with velocity v near a long, straight wire which has a current I flowing through it which generates magnetic field B. Give an expression for the magnitude of the force on this particle in terms of q, v = | v | and the magnitude of the magnetic...
1. Given that q=+12uc distance=19cm
Find Magnitude and direction exerted on point q2.
What happens to the force if the distance is tripled?q____________ q2 ____________q3
q1=+12
q2=-2.0q
q3=+3.0q
distances between point are equidistant.The Attempt at a Solution
F=k Q Q/ d^2
F=F+F...
Homework Statement
Three charges are placed as shown in the figure below. The magnitude of q1 is 2.00 µC, but its sign is not known. The charge and sign of q2 is not known. We do know that q3 is +4.00 µC and the net force on q3 is entirely in the negative x-direction.
a.) Deduce the signs of...
Homework Statement
Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force FP = 9.3 N. Here A has a mass mA = 10.6 kg and B has a mass mB = 7.0 kg. The contact...
If I choose the positive y direction to be vertically downwards, and the positive x direction to be to the right, and take the cross product y cross x, then the direction of the resultant is out of the page (if I draw x and y as lines on paper). The magnitude is yx sin(φ), where φ is the angle...
Mod note: Originally posted in a technical math forum, so missing the homework template.
How to find angle between two vectors when magnitude of both vectors and their resultant is given. for example The resultant of two vectors of magnitude 3n & 5n comes out 7N, the angle between vector is...
Homework Statement
Find a vector that has the same direction as <-2, 4, 2> but has length 6.
Homework Equations
Length of vector in 3D = |v| = (x2 + y2 + z2)0.5
The Attempt at a Solution
I can see that the length of the given vector is (-2)2 + 42 + 22 = 24
36 is (1.5)24, so I tried...
Homework Statement
Block B has acceleration of 4 m/s2... Relative acceleration of block A w/ respect to B is 4 m/s2. Find magnitude & direction of accel for A?
Homework Equations
a_A = a_B + a_A/B
x_A = x_B + x_A/B
y_A = y_B + y_A/B
The Attempt at a Solution
x & y components:
-4cos(20) =...
Homework Statement :
Block B has acceleration of 4 m/s2... Relative acceleration of block A w/ respect to B is 4 m/s2. Find magnitude & direction of accel for A?[/B]
Homework Equations
a_A = a_B + a_A/B[/B]The Attempt at a Solution
a_A = 4 +4 = 8 m/s2 <--
8*cos(20) = 7.52 (x-component)...
When magnitude of addition is equals to the magnitude of difference of two vectors then the angle between them will be 90 degrees... How and Why ? can anyone explain it ??
Any help will be appreciated..
Thanks
we learned about the impulse of a force , but just then a question came to my mind , what's the difference between the magnitude of a force and its impulse , or are they the same ... ??
Homework Statement
So I was given the equation that in a sphere, if at a distance r outisde a sphere of radius R (The sphere insulated, I guess it matters since it would prevent charge to leave?)
The electric field E = kqR/r^3
I'm not sure how they got this
Homework Equations
Flux = Integral...