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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Newton's Laws of Motion
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sachin_gupta1991 (69)

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Q. A force F(vector)=v(vector) x A(vector) is exerted on a particle in addition to the force of gravity, where v(vector) is the velocity of the particle and A(vector) is a constant vector in the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues ti=o move undeflected with a constant velocity??
 
Plzz help me with a detailed answer.
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rakesh_89 (47)

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is it F/A

The woods are lovely, dark and deep.
But I have promises to keep,
And miles to go before I sleep,
And miles to go before I sleep.
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biki (1592)

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you will have to rate me man ......
i need hat .... not thumbs

salman khan
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biki (1592)

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The given diagram explains the situation...
                                                                     
Since the body moves with no force....So <mod>F = mg
                 
So <mod> v x A = mg
=> vA sin <theta> = mg
=> v = mg / [A sin <theta>]
 
Now v is minimum if R.H.S. is minimum and
R.H.S. is minimum if<theta> is 900 such that sin <theta> = 1...which makes the denominator maximum and so the R.H.S. minimum
 
So vminimum = mg/A
[Thumb - hcv 21.JPG]

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