A) \[50\,m/{{s}^{2}}\]
B) \[40\,m/{{s}^{2}}\]
C) \[60\,m/{{s}^{2}}\]
D) 30 m/\[\Omega \]
Correct Answer: B
Solution :
[b] Mass of the rocket after 50 seconds is: \[m={{m}_{0}}-\mu t\] |
Here \[\mu =20\,kg/s\]\[=(6000)-(20)(50)=5000\,kg\] |
Thrust force \[F={{V}_{rel\mu }}\] |
\[\therefore \]\[F=(10\times {{10}^{3}}\,m/s)(20\,kg/s)\]\[=2.0\times {{10}^{5}}N\] |
\[\therefore \] Acceleration \[a=F/m=\frac{2\times {{10}^{5}}}{5000}=40\,m/{{s}^{2}}\] |
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