Laws Of Motion Question 434

Question: A rocket of initial mass 6000 kg ejects mass at a constant rate of 20 kg/s with constant relative speed of 10 km/s. What is the acceleration of the rocket after 50 second, (Neglect gravity)

Options:

A) 50m/s2

B) 40m/s2

C) 60m/s2

D) 30 m/Ω

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Mass of the rocket after 50 seconds is: m=m0μt

Here μ=20kg/s

=(6000)(20)(50)=5000kg

Thrust forceF=Vrelμ

F=(10×103m/s)(20kg/s)

=2.0×105N

Acceleration a=F/m=2×1055000=40m/s2



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