Homework Statement
A golf ball of mass 0.045 kg is moving in the +x-direction with a speed of 6.10 m/s, and a baseball of mass 0.145 kg is moving in the -y-direction with a speed of 2.20 m/s. What are the magnitude and direction of the total momentum of the system consisting of the two...
Homework Statement
The setup is there are two pucks (m1, m2) on an air table and they undergo elastic collision while m2 is stationary. I am asked to find the angle between the two velocities but I can't figure out how without being giving at least one angle.
Variables:
m1 = 28.0 g = 0.28...
Homework Statement
the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out
Cross product and the angles of a prallelogram's diameters
Homework Statement
With the help of cross product prove: if the angle between the diameters of a parallelogram is 90 degrees, then the parallelogram is a rectangular.
Homework Equations
A\timesB=(surface of the parallelogram)...
hi,
here's the problem:
imagine a heavy nucleus and an electron approaching it with some momentum pi.
it scatters elastically off the nucleus at some angle \theta and momentum pf. the nucleus can be considered to remain at rest, since it is so massive.
I have to start with the definition...
A clerk moves a box of cans down an aisle by
pulling on a strap attached to the box. The
clerk pulls with a force of 176.0 N at an angle
of 30.0◦ with the horizontal. The box has a
mass of 40.0 kg, and the coefficient of kinetic
friction between the box and floor is 0.520.
The acceleration...
Homework Statement
Prove that a vertical line and a line going from a point on a parabola to the focus of the parabola form equal angles with the tangent line of the point on the parabola.
Homework Equations
Focus = 1/4a (maybe relevant)
The Attempt at a Solution
I know how to...
Homework Statement
A ball weighing 590-N is shown suspended from a system of cords. What are the tensions in the horizontal and angled cords?
http://img207.imageshack.us/img207/2276/4figure39alt.gif
T_{50}=___
T_{90}=___
Homework Equations
The Attempt at a Solution...
Homework Statement
A fire fighter directs a stream of water from a fire hose into the window of a
burning building. The window is 20.0 m above the level of the nozzle and 60.0 m
away. The hose produces a jet of water at a constant nozzle speed of V0 = 30.0 m/s.
The fire fighter can...
In frame S there're two spaceships, s1 and s2. s1 starts at (L,0) with a velocity of (-v,0) and s2 starts at (0,-L) with a velocity of (0,v). Obviously they'll collide in this frame.
But let's look at things from a frame traveling with s1 (S1). In S1, s1 has a position of
(L/G, 0) and a...
Homework Statement
Three equal weights, two of them connected to the third by individual strings. If the mechanism is in equilibrium, what are the angles of the strings.
Homework Equations
EFi=maThe Attempt at a Solution
T1=W
so 2T1=t2 = t1
T1=1/2W
So what now?
Homework Statement
A velocity of 10ms^{-1} is to be replaced by two components, 7.0ms^{-1} and 5.0ms^{-1}. What must be the angle between the two components?
Homework Equations
The Attempt at a Solution
Now I think that the answer to the solution lies in using trig to work out...
Need some help with this one. Please be detailed and methodic in your understandable explanations because I find this very difficult.
http://a.imagehost.org/0288/n_5.jpg
Homework Statement
Path A is 6.0 km long heading 60.0° north of east. Path B is 6.0 km long in a direction due east. Path C is 3.0 km long heading 315° counterclockwise from east.
(a) Graphically add the hiker's displacements in the order A, B, C.
Magnitude of displacement: _________...
Homework Statement
Imagine you're given a rectangle, with lengths LX and LY.
Now we place a point somewhere inside this rectangle, we don't know where it is.
What we DO know, is the angle between lines from the corners to that point. (such that if it was at the center, and the point a square...
Homework Statement
A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance.
Answer clues:
1. if, the angle from the slope to the horizontal = 60, then the...
Homework Statement
A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be...
Homework Statement
An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope . The rope will break if the tension in it exceeds 2.80×10^4 N, and our hero's mass is 91.0 kg...
Homework Statement
A child runs down a 11 degree hill and then suddenly jumps upward at a 16degree angle above the horizontal and lands 1.2 m down the hill as measured along the hill
What was the child's initial speed?
Homework Equations
Projectile motion
x = Vx*t
y = yo + Vyo*t -...
Homework Statement
I have a sphere on top of another larger fixed sphere. The sphere on top rolls on the fixed one without sliding. The moving sphere is rolling and therefore has an angular velocity, it also moves giving it an angular velocity around the center of the fixed sphere. To calculate...
Case 1
In 2D coordinate system the sum of the angles of all quadrants=360
degree
in (x,y) plane
Case 2
In 3D coordinate system (x,y,z) I took 3 possible planes
i.e.
(x,y) (y,z) (x,z)
each plane provides angle of 360 degree, so can we say that in 3D coordinate system sum of all...
Homework Statement
Approximate, to the nearest 0.01 radian, all angles \theta in the interval [0,2pi) that satisfy the equation.
sin \theta= -0.0135
Homework Equations
Inverse sin, reference angle formulas
The Attempt at a Solution
The inverse sin is -.01, so the...
Is it possible for the critical angle to exist when light goes from water (n=1.33) into glass (n=1.5)?
I solved this using snell's law.
and my answer is no..
because glass has greater refraction index than water. And when you use snell's law and solve for the critical angle, there will be no...
Homework Statement
300 lb force is to be resolved into components along a-a(prime) and b-b(prime).
a.) Determine the angle by trigonometry knowing that the compnent along line a-a(prime) is to be 240 lb.
b.) What is the corresponding value of the component b-b(prime)
in the picture...
Hi there.
I'm using the following equations as part of my physics research paper:
http://www.grc.nasa.gov/WWW/K-12/airplane/normal.html
The initial equation, concerning the half angle of the nose cone of the object, gives me a rather trivial answer at mach 1.5..
a > 0.199 (3sf)
Now...
I'm comparing TV and monitor sizes, and I'm trying to figure out the formula that will let me find what size screen will have the same area as another screen (with different aspect ratios). This boils down to a right triangle with all the angles and the area known. Normally I'd find this on...
Homework Statement
A vector is given by R(vector) = 1.90 ihat + 1.30 jhat + 2.92 khat.
Find the magnitude of the vector
Find the angle between the vector and the x, y, and z axis
Homework Equations
I have read something about dot product but I am not sure if it applies here
The Attempt...
Hello,
I have a laser beam that passes through two 3 degree angled wedges, resulting in the ability to project the laser anywhere within a 6cm radius circle (each wedge alone produces a 3cm radius circle). I need to be able to tell each wedge how much to rotate in order to get the laser from...
Hi,
Suppose you have three vectors a, b and c.
Say the angle between a and c is given by \alpha, and between b and c by \beta.
Can we find a relationship between \alpha and \beta?
Thanks in advance,
Hi everyone, this is my first post on this forum, if in wrong place please fogive.
I am currently studying physics looking at the topic of projectiles, working out the maths is not a problem, but in class is not like having real experience out in the world around us, so my question is...
Homework Statement
An object has a weight of 20N. It is supported by three strings to keep it in equilibrium, all attached to a smooth ring on the object. String A has a tension of 15N to the right of the block. String B is (a)degrees away from string A and String C is 90degrees away from...
Homework Statement
Prove that sin(45+x).sin(45-x) = \frac{1}{2}cos2x
Homework Equations
double angle formulae
reduction formulae
special angles
identities
The Attempt at a Solution
(sin45.cosx+cos45.sinx)(sin45.cosx-cos45.sinx)
=(sin45.cosx-cos45.sinx)2...
Homework Statement
A ranger in tower A spots a fire at a direction of 321 degrees. A ranger in tower B, located 60 mi at a direction of 47 degrees from tower A, spots the fire at a direction of 279 degrees. How far from tower A is the fire? How far from tower B?
Homework Equations...
Hi,
Is there a way of calulating the angles from the slope or coordinates of a graph. Say you have a bunch of x and y coordinates and you want to find the angles between those points at various coordinates (say every x,y ratio) can it be done?
How would you go about it?
Hello,
I am trying to extract the 3 angles from a unit vector to position a part on a 5 axis milling machine:
This machine has 3 linear axes (x,y,z), direct coordinate system
It has 2 rotary axes:
A turns about the x (called 'tilt')
C is carried on the A axis (called 'rotary')
See...
Homework Statement
I have done all the physics for this problem which I'll detail below. I am only having trouble in doing the simple math to single out the t1 or t2.
A mass is hanging from a ceiling. It is supported by two strings which both are attached above to the ceiling. String 1 is...
Homework Statement
A parallellogram ABCD has an interior point O sucht that
\alpha + \beta = 180^o
http://img413.imageshack.us/img413/5636/post102741235319763.png
Prove that:
\angle{OBC}=\angle{CDO}
Homework Equations
Definitions of a parallellogram.
The Attempt...
Homework Statement
Ok, Let's see, this problem consists of two (2) cars with a cable of unknown tension between them.
The first car has a weight of 2100Kg and is at an angle of 10 degrees from the normal.
The second car weighs 1360Kg and is at an angle of 26 degrees from the normal...
Hello everyone,
Thank you in advance for your help!
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Homework Statement
10. A vector \vec{u} with direction angles A1, B1, and Y1, is perpendicular to a vector \vec{v} with direction angles A2, B2, and Y2. Prove that:
\cos A1 \cos B2 + \cos B1 \cos B2 + \cos Y1 \cos Y2 = 0.
---...
Homework Statement
In a rescue, the 72.0 police officer is suspended by two cables, as shown in the figure below.
Homework Equations
T = mgsin(48)?
T2 = mgsin(35)?
The Attempt at a Solution
I used the above equations and it is not right. Me and my friend have been working on...
Homework Statement
A 60 kg crate is being steadily dragged along the floor by a rope, which makes an angle of 70 degress with the horizontal. If the tension in the rope is 20N:
What is the force of friction?
What is the coefficient of friction?
Homework Equations
ffr=Ufn
ffr=Umgcos0...
Homework Statement
Show that the parabolas r=c/(1+cosθ)and r'=d/(1-cosθ) intersect at right angles.
The Attempt at a Solution
I found the points of intersection by setting the two equations equal, to which I got:
cosθ = (c- d)/(c+d)
θ = cos^-1[(c- d)/(c+d)]
then i tried to find the...
Homework Statement
Two forces P and Q with respective magnitudes 100N and 200N are applied to the upper corner of a crate. The sum of the two forces is to the right (+x direction) with a magnitude of 250N. Find the angles that P and Q make with their sum - that is, with the horizontal line...
Homework Statement
A triangle had area of 21 cm² and two of its sides are 9 cm and 14cm long.
Find the possible measures of the angle formed by these sides?
Homework Equations
Area= 1/2abSin(C)
The Attempt at a Solution
1/2 (9)(14)Sin C = 21 --> Sin C = (1/3)
approx 19.5...
Can the sum of angles of a planar triangle be greater than 180??
hii
i read somewhere that the sum of the angles of a triangle is always a little bit greater than or lesser than 180 degrees? how true is that?
thank you
Greetings everyone! Thanks in advance for the help!
Homework Statement
Two parts to the problem. For both parts it asks for the magnitude of the net force and the direction of angle from the X axis.
Part A:
Two forces, F1 and F2, act on an object at rest at a 90* angle. F1 = 30N, F2 = 11N...
Homework Statement
How do you eliminate this?
V3(cos A) + V4(cos 30) = 5 Equation 1
V3(sin A) = -(V4)(sin 30) Equation 2
V3^2 + V4^2 = 25 Equation 3
Homework Equations
The Attempt at a Solution
I let
x= V3 ; y=V4...
Homework Statement
a) If Vx = 18.00 units and Vy = -15.50 units, determine the magnitude of V.
b) Determine the angle of V with respect to the x-axis.
Homework Equations
The Attempt at a Solution
Yeah, Part B is pretty much the only one I don't get .
a) Answer is 23.75
b)...