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`        A sphere is pushed on a horizontal surface suffirough for pure rolling such aftermoving a little dist. it mounts on an inclined plane. It rises to a height h1 and h2 if the inclined plane is frictionless or suffi rough respectively.Then - 1)h1>h2 2)h1`
7 years ago

147 Points
```										Dear Aveek
let the initial velocity of sphere is U
case 1 :  sphere is rolling
acceleration along the inclind plane a= gsinθ/[1+ I/mr2]
I = 2/5 mr2
so a = 5/7 gsinθ
now equation  V2 =U2- 2aS
S=U2/2a
so  h2 =S sinθ = 0.7 U2/2g
case 2:  sphere is not rolling
a =gsinθ
and h1=Ssinθ = 0.5U2/2g
h2 > h1
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```
7 years ago
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