Homework Statement
https://smart.physics.illinois.edu/images/phys101/Homework/02/vector.gif
Two vectors A and B are shown in the x-y plane. Vector A has a magnitude of 5 m and makes an angle of 55° with the positive x-axis vector B has a magnitude of 2 m and makes an angle of 33° with the...
Homework Statement
A room has dimensions 3.15 m (height) 3.85 (width) m 4.10 (length) m. A fly starting at one corner flies around, ending up at the diagonally opposite corner.
(a) What is the magnitude of its displacement? (solved and got 6.45m)
(b) Could the length of its path be less...
Homework Statement
Let u = <3,-1>. Find v such that ||v||=4 and the angle between the vectors is ∏/3.
Homework Equations
u.v = ||u|| ||v|| cos θ
The Attempt at a Solution
<3,-1>.v = (√10)(4) cos ∏/3
<3,-1>.v = 2√10
v = <(2√10)/3, (2√10)/-1>
Can you please confirm that I am...
Homework Statement
Express your answer in part (a) in terms of magnitude and angle counterclockwise from the + x direction.
Vector = -25.3i-1.2j
Homework Equations
arctan(ady/adx)
The Attempt at a Solution
Arctan(-1.2/25.3)=2.72
This is wrong... but I have no idea how to fix it.
Homework Statement
Harmonic wave is described by: h(x,t)=cos(2∏(2x-t/2)). The equation is expressed as the height of the wave
At time t0 a peak of the wave is at position X0. What is the magnitude of the distance to the nearest peak at this time? How much time passes before another peak is...
Homework Statement
Four point charges, q, are fixed to the four corners of a square that is 13.1 cm on a side. An electron is suspended above a point at which its weight is balanced by the electrostatic force due to the four point charges, at a distance of 20 nm above the center of the square...
Homework Statement
Three positive particles of equal charge, +11.5 µC, are located at the corners of an equilateral triangle of side d = 13.0 cm (Fig. 16-50).
Calculate the magnitude and direction of the net force on each particle.
Image is here...
Homework Statement
A point charge is placed at each corner of a square with side length a. The charges all have the same magnitude q. Two of the charges are positive and two are negative, as shown in the following figure.
The two positive charges are on top and the two negative charges...
Homework Statement
Find the magnitude of the vector product w ⃗x u, where w=<1,0,1> and u=<1,1,0>.
Homework Equations
||w x u|| = ||w|| ||u|| sin θ
cos θ = \frac{w.u}{||w|| ||u||}
The Attempt at a Solution
w ⃗x u ⃗= -i ̂+j ̂+k ̂
‖||w ⃗x u|| ⃗ ‖= √3
but...
Is there a "magnitude of momentum" quantum operator?
Homework Statement
Is the ground state of the infinite square well an eigenfunction of momentum? If so, what is its momentum? If not, why not? What can you say about the magnitude of the momentum?
Homework Equations
Ground state...
Homework Statement
What is the magnitude of the sum of the following vectors?
A= i +5j -k
B= 4i-j-5k
C= -i+j
Homework Equations
The Attempt at a Solution
What I did was I added i+4i-i to get 5i, I also added 5k+j-5 to get 5j, likewise for k to get -6k
and did the...
Homework Statement
The components of vectors and are given as follows:
Ax = +5.7 Bx = -9.8
Ay = -3.6 By = -6.5
The magnitude of the vector difference ,B-A is closest to:
Homework Equations
A=square root (ax)^2+ay^2
B= square root (bx)^2 + by^2
The Attempt at a Solution...
Homework Statement
Three point charges lie along a straight line as shown in the figure below, where q1 = 6.60 µC, q2 = 1.41 µC, and q3 = -1.9 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the...
Homework Statement
Four objects, each with a positive charge of 1.0 3 1025 C,
are placed at the corners of a 45° rhombus with sides of
length 1.0 m, as in Figure 13. Calculate the magnitude of
the net force on each charge.
Homework Equations
F = Kq1q2/r^2
The Attempt at a Solution
Homework Statement
Which of the following statements are true about Fs, max in the equation mu=Fs, max/Fnormal?
I. Fs, max is exerted perpendicular to the surfaces in contact.
II. Fs, max represents the maximum value of the force of static friction.
III. On a level surface, the magnitude of...
Homework Statement
To move the oil drum, the resultant of the three forces shown must have
a magnitude of 500 N. Determine the magnitude and direction of the smallest
force F that would cause the drum to move.
here is the figure: http://screensnapr.com/e/yliMVN.png
Homework...
A(n) 0.445 kg football is thrown with a speed
of 15.1 m/s. A stationary receiver catches the
ball and brings it to rest in 0.012 s.
What is the magnitude of the impulse de-
livered to the ball?
Answer in units of kg · m/s
f=m*a
Δp=m*Δv
i used f= ma since a= Δv/t
i got F=...
Homework Statement
A wagon is drawn by a student pulling with a constant force of F Newtons applied at an angle of θ° to the horizontal. If the wagon is drawn in a circle with radius r meters, how much work is done on the wagon? (I don't remember the actual numbers)
Homework Equations...
a 4kg magpie flies towards a very tight plastic wire on a clothes line. the wire is perfectly horizontal and is stretched between poles 4m apart. the magpie lands on the center of the wire, depressing it by a vertical distance of 4.0cm. what magnitude of tension is in the wire?
A scalar has magnitude and no direction; a vector has both direction and magnitude. Is there a name for a physical or mathematical object with direction but no magnitude?
I guess a description of it could be something like
\lim_{\|v\|\to 0} \vec{v}
Homework Statement
Compute the magnitude of the displacement (\vec{}R and the angle with respect to the x-axis.
Homework Equations
The Attempt at a Solution
A = 10m * sin30° \hat{}y+ 10m * cos30° \hat{}x
\vec{}A = 5m \hat{}y + 8.66m \hat{}x
B = 15m
C = 20m * sin80°...
Homework Statement
Given two vectors A=9i+1j+9k and B=12i-12j+10k find:
a) Their dot product AB
b) Their cross product AxB
c)The angle between the vectors A and B
d) a vector C that is parallel with A and has the same magnitude as B
e) A vector C that is perpendicular to A and has the...
Homework Statement
A 200N block is on a 35 degree incline with a frictionless, massless pulley and a weight on the other side, Fw= 220. The system is in equilibrium.
What are the magnitude and direction of the frictional force on the 200N block?
Homework Equations and
The Attempt at...
This is actually not a full problem, just a part of one I'm having trouble with:
Homework Statement
If I have a acceleration vector, say [ bk^{2}e^{kt} - bc^{2}e^{kt} ]e_{r} + [ 2bkce^{kt} ] e_{θ}. How can I find its magnitude?
Homework Equations
Mag vector |a| = (a^2)^(1/2)
The Attempt...
is that both of absolute and apparent magnitude counts only visible light?
since i found some books said absolute magnitude counts luminosity instead of intensity, where luminosity includes also the non-visible frequencies.
thank you!
Here's the question:
A bird drops a seed, which falls with a steady vertical terminal velocity of 4.8 m/s. A
slight breeze blows the seed toward the west at 1.2 m/s.
(a) What is the magnitude of the resultant velocity of the seed?
(b) What is the direction (in degrees west of the...
Homework Statement
There are three point charges, q1 has a magnitude of 3.00mC (the sign is not known) and is 5.0cm away from P and 13.0 cm away from q2. P is 12.0cm away from q2 and the three points form a triangle. The net electric field at point P is entirely in the negative y-direction...
An insulating solid sphere of radius a = 1.2 m is uniformly charged with charge Q = 4.5 x 10^-6 C. Point P inside the sphere is at a distance r = 0.60 m from the sphere center C. What is the magnitude of the electric field at point P?
So I'm using Gauss' Law:
q,enc = Q[(pi * r^2)/ (pi *...
Homework Statement
A binary star system consists of a hot main sequence star (m=0.5m) and a red giant (m=1.2m), the parallax of the system is p=0.0012". Calculate the apparent magnitude of the system.
Homework Equations
I have b1/b2 = 2.512^(m2-m1) and p=1/r
The Attempt at a...
Homework Statement
CD is playing for 74 min, starts at angular speed of 480 rpm then slows to 210rpm. what's the magnitude of the angular acceleration
Homework Equations
angular acceleration =ω/ t
The Attempt at a Solution
i converted the rev to rad then min to sec then divided...
Homework Statement
The resultant vector of the four displacement vector A B C D is 1000m, with direction 60° N of W. The three vectors A B C are:
A=200m,S
B=300m,45° S of W
C=400m,30° E of N
a.) Find the magnitude of the fourth vector
b.) find the direction of the fourth vector
Homework...
How does one find the value of
||A \left(\hat{\imath}\wedge\hat{\jmath}\right) +B(\hat{\imath}\wedge\hat{k})+C( \hat{\jmath}\wedge\hat{k})||
Where A, B and C are constant coefficients.
Thanks in advance.
Hi,
Four point charges of equal magnitude are held at the corners of a square. The length of each side of the square is 2a and the sign of the charges are the following: Two positive charges on the top two corners of the square and two negative charges on the bottom two corners of the square...
Show what the magnitude of induced emf
Homework Statement
Consider a magnetic field B = K(x3z2,0, -x2z3)sinωt in the region of interest, where K and ω are positive constants and t is variable time. Show that the magnitude of the induced emf around a circle R in the plane z = a with its center...
Someone who knows what they are talking about: Show what the magnitude of induced emf
Homework Statement
Consider a magnetic field B = K(x3z2,0, -x2z3)sinωt in the region of interest, where K and ω are positive constants and t is variable time. Show that the magnitude of the induced emf...
I am trying to find out how fast a star's magnitude changes over time, and have two columns of data.
The first is the time since the stay left the main sequence, and the second is Log (L/L_sun).
I am unsure as to how to chance the luminosity values into magnitudes, which means I can't answer...
Homework Statement
A car needs to generate 75 hp in order to maintain a constant velocity of 27.3m/s on a flat road. What is the magnitude of the total resistive force acting on the car. (due to friction,air resistance etc.)
Homework Equations
1hp=746 watts
The Attempt at a Solution...
Homework Statement
A) Find the magnitude of the magnetic field 10 cm away from the wire at point P as shown in the picture. The current is directed along the x-axis.
B) Find its direction
Info: I = 5 amps. Point P lies on the Y-axis. Current on the X-axis.
Picture (I have drawn)...
I have calculated magnitude of acceleration of an object slowing to a stop to be:
-5.1m s^-1.
I then had to find the magnitude of the unbalnced force applied to the object for it to stop which i found to be:
So F= 1500 kg * 5.1 m s^-2
Which equals 7650kg m s^-2
Which...
I understand that having a periodic signal x(t) we can find a signal y(t) which uses harmonically related exponentials in order to construct the x(t) signal
each exponential has a frequency and magnitude, for example
3*e^{j 2 \omega} has a frequency of \frac{2 \pi}{2 \omega} =...
Homework Statement
First I was asked to parametrize the motion according to \theta and I got
x: -cos \theta+1 and y:-sin\theta+1
Now, I have to find the magnitude of the acceleration along the path at a point given by \theta.
How do I do this?
Also, I only have figured out the...
Gravitation Force (Solved, thanks)
Homework Statement
A sphere with mass of 65kg and center at origin. Another sphere with mass 79kg at point (0,3), also centered at origin.
A.) What is the magnitude of the net gravitational force due to these objects on a third uniform sphere with mass...
Hi all,
I was diving into my 3rd year quantum assignment and I saw the following which I have to use for the rest of the question to prove the Cauchy-Schwarz inequality:
Homework Statement
|| a|x> + b|y> ||^2
I only really learned a bit about Dirac notation last year, so please...
Homework Statement
The Pilot of an airplane executes a loop-the-loop manuever in a vertical circle. The airplane's speed is 300 mi/h at the top of the loop and 450 mi/h at the bottom. The radius of the circle is 1200 ft. Use American Engineering units in this problem.
A) The pilot's...
Find Force Magnitude Problem...Please Help!
Homework Statement
1. You Push a block of mass 3.00 kg against a vertical wall by applying a force of magnitude P at an angle of 50.0 degrees above the horizontal. The coefficient of static friction between block and wall is 0.250. Determine the...
An isolated segment of wire of length L=4.50 m carries a current of magnitude i=35.0 A at an angle theta=50.3 degrees with respect to a constant magnetic field with magnitude B= 6.70E-2 T. What is the magnitude of the magnetic force on the wire?
a) 2.66 N
b) 3.86
c) 5.60 N
d) 8.12 N
e) 11.8...
Homework Statement
Given the initial (u) and final (v) velocities below, find the magnitude and direction of the changes in velocity:
Homework Equations
(a) through (f) - I only have trouble with (e) and (f)
(e): u = 10ms east, v = 15ms N40°W
(f): u = 250ms N20°W, v = 200ms south...
Hi =) just signed up, and i really need help this term. I am really having a hard time this term absorbing what's going on, I am getting things mixed up, and I am falling behind.. I am finding myself quickly losing my confidence and becoming quite frustrated and stressed out ;( I am really...
Homework Statement
A DC circuit which includes Emfx of unkown magnitude and orientation, at the location indicated is shown below. Note the 'ground' (V=0) in the circuit.
The potential between 'b' and 'a', Vb-Va, is measured to be 2.00 V.
a) The magnitude of Emfx is:
b) Calculate...