PHYS 1021 Chapter 10: Physics for Scientists and Engineers Chapter 10 Notes

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Related Questions

Figure below shows a cycle undergone by 1.00 mol of an idealmonatomic gas. The temperatures
are T1 = 300 K, T2 = 600 K, and T3 = 455 K.
For 1 ? 2, what are
(a) (2 points) heat Q?
(b) (2 points) The change in internal energy ?Eint?
(c) (2 points) The work done W?
For 2 ? 3, what are
(d) (1 points) Q?
(e) (2 points) ?Eint?
(f) (2 points) W?
For 3 ? 1, what are
(g) (2 points) Q?
(h) (2 points) ?Eint?
(i) (2 points) W?
For the full cycle, what are
(j) (2 points) Q?
(k) (2 points) ?Eint?
(l) (2 points) W?
The initial pressure at point 1 is 1.00 atm (= 1.013 Ã 105 Pa).What are the
(m) (2 points) volume?
(n) (2 points) Pressure at point 2?
(o) (2 points) Volume?
(p) (1 points) Pressure at point 3?

aquamarinegnat75

In Fig. 30-39, a wire loop of dimensions L = 42.4 cm and W = 28.2cm lies in a magnetic field . What are the (a) magnitude and (b)direction (clockwise - show "1" , counterclockwise - show "0" orânoneâ - show "3" if = 0) of the emf induced in the loop if = (6.10Ã 10-2 T/m)y ? What are (c) (in mV) and (d) the direction if =(6.24 Ã 10-2 T/s)t ? What are (e) (in mV) and (f) the direction if= (8.31 Ã 10-2 T/mÂ·s)yt ? What are (g) and (h) the direction if =(3.28 Ã 10-2 T/mÂ·s)xt ? What are (i) and (j) the direction if =(5.00 Ã 10-2 T/mÂ·s)yt ?

Figure 1 illustrates a Keplerian orbit, with Cartesiancoordinates (x,y) and polar coordinates (r,Ï).

Parametric equations for a general Keplerian orbit are r(Ï) = a(1 â e cosÏ)

t(Ï) = *(T)/2Ï+ ( Ïâ e sinÏ)

tan(Ï/2) = *(1+e)/(1âe)+1/2 tan(Ï/2)

Here Ï is an independent variable. The solution is periodic in Ïwith period âÏ = 2Ï. Also, a, e, T are constants that determine theparameters of the orbit.

Figure 2 shows the relation between Ï and the spatialcoordinates. In the figure, the coordinates (Î¾,Î·) are defined by Î¾= x + ae and Î· = y a /b,

withb=a*1âe2 ]1/2.

(A) What kind of curve is the orbit?

(D) Determine Î¾(Ï) and Î·(Ï).

(E) Express r as a function Ï .

(F) The angular momentum is L = m r2dÏ/dt. Determine L in termsof {a,e,T} Hence verify that L is a constant of the motion.

(G) The energy isE = [1/2] m ( dr/dt )2+ [1/2] m r2(dÏ/dt)2â GMm/r.Determine E in terms of {a,e,T}.

(H) E must be a constant of the motion. Hence determine T and Efrom the equation that you obtained in (F).

(I) Write T in terms of the spatial orbit parameters and theforce constant GM.

(J) Now express L and E in terms of a, e, GM.

(K) In Figure 1, determine the coordinates of the points P, A,and R

(L) In Figure 1, determine the time t at the point R.

PHYS 1021 Chapter 10: Physics for Scientists and Engineers Chapter 10 Notes

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