Ef157-m3-examsolution-2015-p6 - University of Tennessee

 EF 157 -Fall2015-Exam 3 -Page 2of 7 rSection_ Narne

2) (15 pts) A cable lifls supplies to the New Ilrtemational

Space Station (New ISS) via a space elevator. The supplies

have a mass of 1250 kg and the New ISS is located 475lnn

above the Earth's surface. The supplies trovel at a constant speed along the entire length of the elevator (ignore the small acceleration at the start of the jorrnrey and the small deceleration at the end ofthe journey).

a) Determine thework required to lift the supplies from

the Earth's surface to the New ISS.

3 SF

\ Elevator caure \ Supplies

b) If the cable broke just as the supplies reached the NEw IS$, determine the rudial speed at which the

supplies would be taveling when they reached the Earth's surface. Ignore friction and drag and ignore any rotational effects (i.e., assume the supplies come staight down to the Earth's surface).

,",,1 i:t /' n

'

1" \

44

,/'

\

6")

-r'G/'|r*'(fh + J\\ \i\i-o--*,n )

W,

Ui'- D"L

G u-,rE _)

r TE'- la /

\f;)

=

U)onk

ot

lJ)

cisLf

=

-

I't)o' k

o(

(

'e

"l'k

I

T

!*:f ---)-- L),,,

u

=

(o,G?

/'tv

^;"

Wld,ly

^,o',

t -,{-,-2--.'{ xpt ru

6'

38

x'o

u

*

II

*

(-,

_:

,rL'tuF

o

=/ ,

D,.), = ',f,f oU trlo?^)'u

t) diu-, n- k,rd, o'-o'

=K,,

L

'" -

L/ "t

=/ { ('r,'t|QFto?o'^): t, (rr"ary){

*L- +l ,e /,f ,

Leuvk o 11 -

CotlC.:.

t-t)- ut=-A'-l-+-L

'=/ 1-)-t; 47il' oz As

: zqLt o Vs

4'L@ l( Y"*

N r+rt '*ilL =)

(-u\-

/"+ L

I

r{lf

3 oso rys

*{,Ba 7tcs7 3

otr 7r'7f % eYvot-

f:f

)2 / gC''L vv'r

=

/Jn| - +.,"k * or

Qv P"f'. o)

5t4(e- lf L ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download