PHYS 204A Midterm: PHYS 204A Chico State Exams Exam 3 Spring 18

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turquoisegnu128

31 Jan 2019

School

Chico State University

Department

Physics

Course

PHYS 204A

Professor

All

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R = g dx dt v r =px2 + y2 tan( ) = y x dv dt d2x dt2 a x = r cos( ) Six points each: on his olympic speed skating tryouts, brendan was moving at 18 m/s when he fell and began sliding. After sliding for 13 m, he hit the edge of the rink at 8 m/s. What was his acceleration during the slide: a cylinder has diameter 5. 4 cm and height 75 mm. 4: nicholas begins riding his bike up a 200 m slope at a speed of 5 m/s, decelerating at 0. 20 m/s2 as he goes up. At the same instant, isabelle starts down from the top at a speed of 2. 0 m/s, accelerating at 0. 40 m/s2 as she goes down. How far does nicholas go before they pass: meghan"s velocity is (2. 0 i 1. 0 j) m/s.

Related Questions

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.

1) A flying pig (wings not shown) of mass m, supported from theceiling by a string, travels at speed v -- just the right speedthat it doesn't go up or down; it travels in a horizontal circle ina plane parallel to the ground.
c) On the pig at right, draw a force diagram showing the two forcesacting on the pig. Donât draw the components yet.
d) One force is diagonal and one force is vertical. Which do wechoose for an axis? We'll choose horizonal/vertical. Why not choosethe string and a line perpendicular to the string?
e) Given that we're choosing the radius and up/down line for ouraxis, which force needs to be resolved into components?
f) Using letters only, write the force equation for the up/downaxis in terms of FT, Î¸, m and g (Correct answer: FtCos(Î¸)=mg)
g) Using letters only, write the force equation for the radius axisin terms of FT, Î¸, m,v and r. (Correct answer:Ftsin(Î¸)=(mv^2/r)
h) Combine them into one equation using everybody's favorite trigidentity. (No, not sin(2Î¸) = 2sin(Î¸)cos(Î¸).) The equation shouldread: tan(Î¸) = v^2/rg

PHYS 204A Midterm: PHYS 204A Chico State Exams Exam 3 Spring 18

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Physics: Principles with Applications

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