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Figure shows a particle slideing on a fr...

Figure shows a particle slideing on a frictionles track which terminates in straight horizontal section. If the particle starts slipping from the point. A, how far way from the track will the particle hit the ground ?

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The correct Answer is:
A, C, D

`H=1m,h=0.5m`
Applying law of conservation of Energy for point A and B
`mg H=1/2 mv^2+mgh`
`rarr g-(1/2)v^2=0.5g`
`rarr v^2=2(g-0.5g)=g`
`rarr v=sqrt(g)=3.1m/s`
After pointg B the body exhibits projectile motion for which
`theta=0`
`y=-0.5`
So, -0.5=4.9xxt^2`
`rarr t=0.31sec`
So, `x(v costheta)t`
`=3.1xx0.31=1m`
So the practile will hit the ground at a horizontal distance m from B.
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HC VERMA-WORK AND ENERGY-Exercises
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  2. In a children's park, there si a slide which has a total length of 10 ...

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  4. A block weighing 10 N tavels down a smooth curved track AB joined to a...

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  8. A block of mass 5.0 kg is suspended from the end of a vertical spring ...

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  9. A block of mass 250g is kept on a vertical spring of spring constant 1...

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  10. Figure shows a spring fixed at the bottom end of an incline of inclina...

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  11. A block of mass m moving at a speed 'v' compresses a spring through a ...

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  12. Consider the situation shown in figure. Initially the spring is unstre...

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  13. A block of mass m is attached to two unstretched springs of spring con...

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  15. A small block of mass 100 g is pressed against a horizontal spring fix...

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  16. A small hevy block is attached to the lower4 end of a light rod of len...

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