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Grade: 12th pass

                        

A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed u with respect to rocket. Assume that the rate at which mass is expelled is given by dm⁄dt = γm, where m is the instantaneous mass of the rocket and γ is a constant, and that the rocket is retarded by air resistance with a force mbv where b is a constant. Find the velocity of the rocket as a function of time. [Ans: (1 ) t b u g v e b  

A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed u with
respect to rocket. Assume that the rate at which mass is expelled is given by dm⁄dt = γm, where m is
the instantaneous mass of the rocket and γ is a constant, and that the rocket is retarded by air resistance
with a force mbv where b is a constant. Find the velocity of the rocket as a function of time. [Ans:
(1 )
t
b
u g
v e
b
 

one month ago
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Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


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