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Unit vector along the vector 4î + 3ĵ is ...

Unit vector along the vector 4î + 3ĵ is _____
a) (4î + 3ĵ)/5
b) 4î + 3ĵ
c) (4î + 3ĵ)/6
d) (4î + 3ĵ)/10

Text Solution

Verified by Experts

The correct Answer is:
A
A railrod car of ma sM is at rest o frictionless rails when a man of mass m starts movng on the casr towards the engine. The car recoils with a speed v backward on the rails.
Let the mass moving with a velocity x w.r.t the engine.
`:.` The velocity of the mass w.r.t earth is (x-v) towards right.
`V_(CM)=0(Initially at rest)`
`:.-0=-Mv+m(x-v)`
`rarr Mv=m(x-v)`
`rarr mx=Mv+mv`
`rarr x=((M+m)/m)v`
`=(1+M/m)v`
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