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5 Three events all have coordinates y 0, but they have different x and t coordinates as given by ...
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame...
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame have (t, z) coordinates as follows, Note that we're measuring both space and time coordinates in consistent units, i.e. (a) (4 points) Draw a spacetime diagram with the three points marked and labeled. (i) Is the interval between the two events time-like, null, or space-like? seconds and light-seconds, or light-metres (a unit of time!) and metres. Answer the following questions for the pair of...
PLE 2 The point (0, 5 3 , −5) is given in rectangular coordinates. Find spherical...
PLE 2 The point (0, 5 3 , −5) is given in rectangular coordinates. Find spherical coordinates for this point. SOLUTION From the distance formula we have ρ = x2 + y2 + z2 = 0 + 75 + 25 = 10 Correct: Your answer is correct. and so these equations give the following. cos(φ) = z ρ = -1/2 Correct: Your answer is correct. φ = $$ Incorrect: Your answer is incorrect. cos(θ) = x ρ sin(φ) = θ...
A squirrel has x- and y-coordinates ( 1.0 m , 3.2 m ) at time t1=0...
A squirrel has x- and y-coordinates ( 1.0 m , 3.2 m ) at time t1=0 and coordinates ( 5.8 m , -0.10 m ) at time t2 = 3.1 s . Part A) For this time interval, find the x-component of the average velocity. Vx=? m/s Part B) For this time interval, find the y-component of the average velocity. Vy= ? m/s Part C) Find the magnitude of the average velocity.Part B) For this time interval, find the y-component...
A rhinoceros is at the origin of coordinates at time t 1 =0 . For the...
A rhinoceros is at the origin of coordinates at time t 1 =0 . For the time interval from t 1 to t 2 = 14.5 s , the rhino's average velocity has x-component -3.2 m/s and y-component 5.7 m/s . a>At time t 2 = 14.5 s what is the x-coordinate of the rhino? b>At time t 2 = 14.5 s what is the y-coordinate of the rhino? c>How far is the rhino from the origin?
need all parts for 13 13. Iwo lights that have different wavelengths and intensities may look...
need all parts for 13
13. Iwo lights that have different wavelengths and intensities may look the same (match). A color match between two lights occurs when - for each come the response to one light equals e response to the other light. When this happens there is no way that the visual system can en the two lights apart. Such lights are known as "metamers" (physically different lights that look identical). For example, liebts A and B below may...
5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0...
5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0 <y< 1 f(r, y) elsewhere (a) Find k (b) Find P(0<x< 1, 0<Y<0.5) (c) Find marginal density fi(a) and f2(y) (d) Are X and Y independent? (e) Find E(X) () Find P(X2 0.5). expression for fi(x|y); (g) an
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch,...
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch, x) = (1,1) and (a) How fast must S' be moving so that events 1 and 2 happen at the same point in space (i.e, their x coordi- (b) If S' is moving at speed u = 0.9c, how far separated in time (equivalently the coordinate cr) are the two (c) How fast must S be moving so that events 1 and 2 are...
1. Write a short MATLAB script or function (m-file) that generates the functions (t)eu(t) for a =...
Only calculate manually
1. Write a short MATLAB script or function (m-file) that generates the functions (t)eu(t) for a = 0.1. Plot the value of x(t). Since the e-af almost attenuates to 0 after 5T, where T1. So make your time vector from 0 to 5T would be enough to capture the signal.) 2. Using the definition of the FT (1), manually calculate the FT of the given functions in previous exercise 0O x(t)e 3. Plot the absolute values and...
Q6. The lifetimes of two components in a machine have the following joint pdf: f(x, y).00-x...
Q6. The lifetimes of two components in a machine have the following joint pdf: f(x, y).00-x y) for 0<50-y < 50 and zero elsewhere a. What is the probability that both components are functioning 20 months from now. b. What is the probability the component with life time X would fail 3 months before the other one? c. Compute the covariance of X, Y d. Compute the expected life of the machine e. What is probability that the two components...
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame have (t, z) coordinates as follows, Note that we're measuring both space and time coordinates in consistent units, i.e. (a) (4 points) Draw a spacetime diagram with the three points marked and labeled. (i) Is the interval between the two events time-like, null, or space-like? seconds and light-seconds, or light-metres (a unit of time!) and metres. Answer the following questions for the pair of...
need all parts for 13
13. Iwo lights that have different wavelengths and intensities may look the same (match). A color match between two lights occurs when - for each come the response to one light equals e response to the other light. When this happens there is no way that the visual system can en the two lights apart. Such lights are known as "metamers" (physically different lights that look identical). For example, liebts A and B below may...
5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0 <y< 1 f(r, y) elsewhere (a) Find k (b) Find P(0<x< 1, 0<Y<0.5) (c) Find marginal density fi(a) and f2(y) (d) Are X and Y independent? (e) Find E(X) () Find P(X2 0.5). expression for fi(x|y); (g) an
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch, x) = (1,1) and (a) How fast must S' be moving so that events 1 and 2 happen at the same point in space (i.e, their x coordi- (b) If S' is moving at speed u = 0.9c, how far separated in time (equivalently the coordinate cr) are the two (c) How fast must S be moving so that events 1 and 2 are...
Only calculate manually
1. Write a short MATLAB script or function (m-file) that generates the functions (t)eu(t) for a = 0.1. Plot the value of x(t). Since the e-af almost attenuates to 0 after 5T, where T1. So make your time vector from 0 to 5T would be enough to capture the signal.) 2. Using the definition of the FT (1), manually calculate the FT of the given functions in previous exercise 0O x(t)e 3. Plot the absolute values and...
Q6. The lifetimes of two components in a machine have the following joint pdf: f(x, y).00-x y) for 0<50-y < 50 and zero elsewhere a. What is the probability that both components are functioning 20 months from now. b. What is the probability the component with life time X would fail 3 months before the other one? c. Compute the covariance of X, Y d. Compute the expected life of the machine e. What is probability that the two components...
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