Page 1612 - College Physics For AP Courses
P. 1612

1600 Answer Key
        
Square each equation to get
             
Add these two equations and simplify:
   
               
Multiply the entire equation by  to recover the kinetic energy:           
53
 
55
 
57
The force needed to give a small mass  an acceleration  is    . To accelerate this mass in the small time interval  at a speed  requires    , so    . By Newton’s third law, this force is equal

in magnitude to the thrust force acting on the rocket, so    , where all quantities are positive. Applying
Newton’s second law to the rocket gives  and unburnt fuel.
60
 
61
(a) 0.421 m/s away from the ejected fluid. (b) .
Test Prep for AP® Courses
1
(b)
3
(b)
5
(a)
7
(c) (based on calculation of    ) 
9
(c)
11
(d)
13
(b)
15
(d)
17
(b)


           , where  is the mass of the rocket  
This OpenStax book is available for free at http://cnx.org/content/col11844/1.14























































   1610   1611   1612   1613   1614