Formulate a hypothesis to describe what this constant of proportionality, call it C, must depend on.

A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.

Determine the distance h for which the spacecraft S will experience equal attractions from the earth and from the sun. Use Table D/2 of Appendix D as needed. Assume L = 210 000 km. Sun Earth Answer: h= i Not to scale (105) km

Five clocks are being tested in a laboratory. Exactly at noon, as determined by the WWV time signal, on successive days of a week the clocks read as in the following table. Rank the five clocks according to their relative value as good timekeepers, best to worst. Give the number of the correct clock in each case. Which clock is (a) the best timekeeper? (b) the second-best timekeeper? (c) the third-best timekeeper? (d) the fourth-best timekeeper? (e) the worst timekeeper? Clock Sun. Mon. Tues Wed. Thurs. Fi. Sat. A. 12:36:40 12:36:56 12:37:12 12:37:27 12:37:44 1237-59 12:38:14 11:59:59 12:00:02 11:59-57 12:00:07 12:00:02 11:59:56 12:00:03 B 15:50:45 15:51:43 15:52-41 15:5339 15:54:37 15:5535 155633 D 12:03:59 12:0252 1201:45 12:00:38 11:59:31 11:58:24 11:57:17 E 12:03:59 12:02:49 12:0154 12:01:52 1201:32 1201:22 1201:12 (a) (b) (c) (d) (e) MacBook Pro G Search or type URL @ 23 $ % & 2 3 4 5 6 7 9 Y P W F G H K C V N * 00

Consider the following three forces: F₁ =(285 N)î+(468 N)ĵ, F₂ =(-127 N)î, and F3 =(-753 N)Ĵ.

surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are:                 g1 = 10.2 meters per second squared  (m/s2)                 g2 = 10.4 m/s2                 g3 = 10.0 m/s2   To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have:                              g1 + g2  + g3         10.2 + 10.4 + 10                  gav  =  __________  = ____________  =   10.2 m/s2 .                                   3                           3                                  Percent Error (PE)   To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2.         Mathematically, PE is defined as:                                           (Average - Standard)…

A jogger runs 186 meters westward, then 210 meters eastward, then 156 meters westward, and finally 84 meters eastward. For this motion, what is the distance moved? Tap button at left to enter answer using our built-in number pad. Distance (m) : %D 1 2 What is the magnitude and direction of the displacement? Magnitude (m) = Tap button at left to enter answer using our built-in number pad. Dir'n = (Tap field to change.) --

3. Let's imagine that the earth is shrinking and we want to escape before it is too late. Let's set up some notation: R: the radius of Earth MẸ : the mass of Earth m: your mass G : the universal gravitational constant c: the speed of light Note that, since Earth is shrinking, R is not constant, but MẸ is constant (the values of ME, G and c are available on Wikipedia). In this question, we will compute the velocity needed to escape Earth and the radius of (shrunken) Earth for which even light cannot escape (when Earth becomes a black hole). In fact, all of the related formulae are well known and the purpose of this question is to justify our work using what we have learned in this course so far. (a) The work (energy) W needed to free yourself from Earth when its radius is R metres is w = G ME m dh. h2 R Show that this improper integral is equal to GME m R

I am currently working through a physics book (Spacetime Physics by Edwin Taylor) and I have come across this question and I don't know how to solve it: "Take the differential of this equation for g to obtain an approximate algebraic expression for Δg, the change in g, for a small change Δr in height." How do I sovle this question?

A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.