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Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassVariable massMedium2 minPYQ_2020
PhysicsMediumsingle choice

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a ratedM(t)dt=bv2(t),wherev(t)is its instantaneous velocity. The instantaneous acceleration of the satellite is:

Options:

Answer:
B
Solution:

dM(t)dt=-bv2
in free space no external force so there in only thrust force on rocket
fin =dMdtVrel
Ma=-bv2(t)v
a=-bv3M(t)

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Variable mass
2mℹ️ Source: PYQ_2020

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