Relative Definition and 1000 Threads

Homework Statement A plane flies at an airspeed of 250 km/h. A wind is blowing at 80 km/h toward the direction 60* east of north. a) In what direction should the plane head in order to fly due north relative to the ground? b) What is the speed of the plane relative to the ground...

Homework Statement A boy is standing on a long railroad car throws a ball straight upwards.The car is moving on a horizontal road with an accelaration of 1m/s^2. and the projection velocity is 9.8m/s.How far behind the boy will the ball fall on the car. Homework Equations Not entirely sure...

This is not a homework question. I know the answer to this question I'm just not sure how, from reading the question, I would have known what the question is actually asking. If someone could explain what their thought process is after reading the question, and how it is that you know what the...

Homework Statement Rocket A moves with speed .75c in a northerly direction relative to an origin. Rocket B moves west (relative to that origin) with speed .4c. As B moves, it emits radiation with a wavelength 100nm normal to its line of motion, in the northerly direction. What is the...

Homework Statement One particle is shot in the x direction at speed u and a second is shot in the y direction at speed u as well. Show that the relative speed of one to the other is: u(2-(u/c)^2)^1/2. Homework Equations velocity addition: u = (u' +/- v)/(1 +/- u'*v) Lorentz Trans...

One reference frame A uses a force F on another reference frame B. Both A and B counts the time it takes before A stops using the force F on B. They end up with different results. Will B feel a different value of the force coming from A? Will F*t be different in the two reference frames? (Where...

I am reading the beginning of the chapter about Conjugated Unsaturated Systems and it is discussing relative stability of the allylic radical in comparison with other compounds. This is what it tells me for the DH°: Allylic Radical - 369 kJ*mol-1 3° Radical - 400 kJ*mol-1 2° Radical - 413...

Homework Statement Conveyor belt A, which forms a 20° angle with the horizontal, moves at a constant speed of 4 ft/s and is used to load an airplane. Knowing that a worker tosses duffel bag B with an initial velocity of 2.5 ft/s at an angle of 30° with the horizontal, determine the velocity of...

Homework Statement A particle of mass M = 7m decays into two particles of mass m - one travels in the '+y' direction, the other in the -y' direction. In the rest frame of M, find the total energy(in terms of m) and the speed of each m. Homework Equations E = mc2 \frac{u}{c} = \frac{pc}{E}...

[PLAIN]http://img811.imageshack.us/img811/4435/relativemotion.jpg I'm having trouble on figuring out on how to go about this one. I know that I have to use the kinematic equations for each dimensions, find time, and set the x components equal to each other, but the relative velocity of...

an aircraft must fly at a velocity of 150m/s[n35e] if there were no wind to reach its destination. a wind from the west of 25m/s is present for the whole flight. calculate the velocity the pilot must maintain to reach her destination in time. i started by finding the velocity of the plane in the...

Does special relativity hold between two inertial reference frames that are undergoing relative acceleration? For example, consider two spaceships traveling toward each other on parallel (but not collinear) trajectories. They would pass each other at some non-zero distance, and thus their...

let's say a train is traveling at relativistic speed along a straight line to right, and a man is standing in the middle of the train. Both end of the train was installed a gun which aims at the man. The right-ward gun aims at the man's leg and the left-ward gun aims at the man's head. In...

Homework Statement Einstein's E=mc2 Homework Equations E=mc2, mass dilation, relativistic energy. The Attempt at a Solution Does Einstein's E=mc2 involve mass and energy as relative values? or does the equation mc2=moc2+Ek ie: the same eqn just with mass dilation and...

Homework Statement See figure attached, Homework Equations The Attempt at a Solution Isn't the Maclaurin series just simply the Taylor series around 0? (\text{i.e. } (x-c), \quad c=0, \quad x ) Also for part B, how do we go about solving for | \epsilon_{t} |? Thanks...

While playing a rousing game of Dungeons and Dragons, we came upon a strange question that I thought might best be answered by the fine people at these forums. A tree polymorphed into an arrow, when fired from the bow will transform back into a sharpened log. What then happens to the speed of...

Is this a paradox? We have a satellite orbiting at a significant amount of the speed of light around the earth. Hypothetical numbers: The satellite ages 6 years; while the; earth ages 7000 years. How does the satellite communicate with Earth or vice versa? How is information...

Homework Statement Two particles are emitted from opposite ends of a linear particle accelerator, one with a speed of 0.5 c and the other with a speed of 0.6 c, relative to the accelerator. What is the relative speed of the two particles? Homework Equations VPE = VPA + VAE The...

I saw a MIT course on YouTube where the well know professor say that if I augment the height per 10 the strength augment by 100 (square) but the mass by 1000 (cube) so an animal would be 10 time relatively weaker if 10 time taller so he explain there is a limit to animal size because of this. He...

Unstable molecules - is the instability "relative" to environment? There are many highly unstable chemical configurations. Most chemicals, after all, would prefer to move from high-energy states to low-energy states. This is usually possible due to the presence of a reaction pathway that makes...

Homework Statement At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km h and ship B is sailing north at 25 km h. How fast is the distance between the ships changing at 4:00 P.M.? Homework Equations The Attempt at a Solution I did it using geometry and...

Homework Statement The bar AB is rotating with an angular velocity w=10rad/s. Determine the velocity of the piston C at the instant θ = 45. Provide the vector solution and the solution with the instantaneous center of zero velocity Homework Equations Vb = Va + w x r(b/a) Vc = Vb + w x...

If i am moving at a constant speed and i see someone moving towards me , According to relativity i can't tell if I'm moving or they are moving. But if the heavier person is moving towards me they would have more kinetic energy and a stronger gravitational field, then if i was moving and they...

This is a practice question. If somebody could help me with this practice question, I'd really appreciate it. Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south. Neil is in front of her and to her left. With respect to the ground...

No, the boundary operator is not relative--sorry, Einstein . I mean, the boundary operator in relative homology. I have seen it defined in two different ways , which I do not believe are equivalent to each other: Given a pair (X,A), A<X, and Del is the Bdry. operator on...

Hi folks, can someone please point out how Atkin got the following relative velocity A-B equation: see attached file. It's in atkin pchem 9e page 834. Thank you all.

Homework Statement A 50 kg person walks across a 250 kg raft at a constant speed of 2m/s. What is the velocity of the raft relative to the water? Homework Equations The Attempt at a Solution Let m = mass of the person M = mass of the raft v = velocity of the person relative to...

I just noticed an item in Ned Wright's "News of the Universe" about a new determination of the solar system's speed. It is roughly what we've been saying, around 370 km/s in the direction of constellation Leo, but this paper determines it with increased precision...

Hi, Everybody: I am trying to understand torsion and relative cycles in a more geometric way; I think I understand some of the machinery behind relative cycles (i.e., the LES, and the induced maps.), and I understand that by ,e .g., Poincare duality, in order to have torsion in...

Homework Statement Basically I need to find an equation that is relative to both B and B' T: R^2 --> R^3, T(x,y) = (x+y,x,y) B = {(1,-1),(0,1)} B' ={(1,1,0),(0,1,1),(1,0,1)} Homework Equations THE ONLY example from the book (Elementary Linear Algebra by Larson and Falvo) 6.3 Example 5 Let T...

A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a . A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. Find the speed of the particle with respect to the sphere as a function of the angle...

Homework Statement Let (X,Ʈ) be a topological space and T \subseteq X a compact subset. Show that T is compact as a subset of the space (T,Ʈ_T) where Ʈ_T is the relative topology on T. Homework Equations The Attempt at a Solution Hi everyone, Here's what I've done so far: T...

Can someone help me with speed relative to different objects! Nearly everything in everything in everyday life is relative to the earth, however if i was traveling a little be slower than the speed of light, relative to the earth, why am i not traveling faster than the speed of light relative...

Homework Statement Deloris is being chased through the forest by hungry cannibals. He decides to evade the flesh-eating spider monkeys by crossing a river. He Arrives at the bank of the river 10m[N] of a safe landing on the opposite side. the river is moving at a speed of 3.5 m/s [S]. if he...

Homework Statement The space shuttle, with an initial mass M = 2.81E+6 kg, is launched from the surface of the Earth with an initial net acceleration a = 17.5 m/s2. The rate of fuel consumption is R = 8.20E+3 kg/s. The mass of the shuttle when it reaches orbit is Mo = 6.74E+5 kg. What is the...

Homework Statement Order each of the following sets of five atoms and ions according to decreasing size. (i.e. "1" largest and "5" smallest) N, Br-, Cs, P, Mg2+ Homework Equations When an atom loses electrons (becomes more +), its size decreases. Conversely, when an atom gains...

What does relative mean..! I still don't understand the meaning of relative. I cannot breach onto the concept of Einstein's Principles of Relativity without knowing the meaning of it! I searched the internet but all of the definitions listed makes no sense to me.. Can somebody define...

Homework Statement see upload file Homework Equations The Attempt at a Solution consider relative velocity and show that boy can go back to origin. thanks!

[b]1. Collagen fiber is stressed with 12 N force. The cross-sectional area of the fiber is 3 mm2, its coefficient of elasticity is 500 MPa. Give the percentage of relative extension. I think i have found the correct equation but i can't seem to find the rigth answer which is suposed to be...

I understand relative length well but I what to image a 3d object traveling close to the speed of light. As we know objects have speed, direction, and rotation. So I was wondering if there is a general equation to calculate the relative volume change of a Rectangular Prism rotating and traveling...

Homework Statement A 4.39 g particle is moving at 4.15 m/s toward a stationary 9.64 g particle. (a)With what speed does the heavier particle approach the center of mass of the two particles? Answer in units of m/s. (b) What is the magnitude of the momentum of the lighter particle...

Homework Statement I am given the location of 3 points in space: Z1= 3+3i Z2= 7+5i Z3= 5+5i and the velocity of two points: V_1= 8+0i V_2= 7+6i How do I find V3? Homework Equations V_1/2= V_1-V_2 V_3= V1+V_3/1 V_2/1= V_2-V_1 The Attempt at a Solution I have the...

Homework Statement A 45-Kg girl is standing on a 150-Kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.50m/s to the right relative to the plank. a)What is her...

Question 1: A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 32.0 m above sea level, directed at an angle above the horizontal with an unknown speed v0. The projectile remains in flight for 6.00 seconds and...

Hi, I'm having difficulty with this problem, and was hoping whether someone could lend me a hand? After being provided with this info; Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 19 km/h toward the south and ship B has a velocity of 40 km/h in a...

Hello, can i get help with this? Find any relative extrema of the function g(x)=x sech(x) First i find the derivative g'(x)=sech(x)(-xtanh(x)+1) set to 0 sechx=0 can't be solved -xtanh(x)+1=0 xtanh(x)=1 I know i suppose to solve that to get the critical points and then do...

This is a statement in my book - "The relative velocity of a satellite moving in the direction of Earth's rotation (for an observer on earth) is given as Vs - Ve." We always define relative velocity of a particle say P in a frame of reference S1 accelerating w.r.t to an inertial frame of...

A bolt drops from the ceiling of a train car that is accelerating northward at a rate of 2.55 m/s2. (a) What is the acceleration of the bolt relative to the train car? (they also want the angle to the south from the vertical) (b) What is the acceleration of the bolt relative to the Earth...

Homework Statement A ball is tossed from 1m above the ground to a total height of 12m. An unidentified object passes directly underneath it at 20m/s at a height of 1m. If the ball lands on the object as it passes underneath, how far away was the unidentified object when the ball was tossed...

Relative motion prob, please help Homework Statement A man walk at a rate of 2 km/h; A rain appears to fall vertically. when he doubled his speed it appears to fall at 30o vertical. Find the real speed of the rain. Homework Equations The Attempt at a Solution Help me to do this...