A) \[1000\,\text{m}{{\text{s}}^{-2}}\]
B) \[100\,\text{m}{{\text{s}}^{-2}}\]
C) \[10\,\text{m}{{\text{s}}^{-2}}\]
D) \[\text{1}\,\text{m}{{\text{s}}^{\text{2}}}\]
Correct Answer: D
Solution :
Given that, \[\frac{dm}{dt}=0.1\,kg/s;\]mass of the rocket = 100 kg and v = 1 km/s = 1000 m/s. Thrust on the rocket, \[F=v\frac{dm}{dt}\] \[=1000\times 0.1\] Now, \[F=Ma\] \[\therefore \] \[a=\frac{1000\times 0.1}{100}\] \[=\,m/{{s}^{2}}\]
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