A solid sphere of mass M and radius R is placed on a smooth horizontal surface. It is given a horizontal impulse J at a height h above the centre of mass and sphere starts rolling then, the value of h and speed of centre of mass are –

A solid sphere of mass M and radius R is placed on a smooth horizontal

1.	A solid sphere of mass M and radius R is placed on a smooth horizontal surface. It is given a horizontal impulse J at a height h above the centre of mass and sphere starts rolling then, the value of h and speed of centre of mass are –
Answer» `h=(2)/(5)R and v=(J)/(M)` `h=(2)/(5)R and v=(2)/(5) (J)/(M)` `h=(7)/(5)R and v=(7)/(5)(J)/(M)` `h=(7)/(5)R and v= (J)/(M)` SOLUTION :Let the force producing impulse J is F then `F XX h=(2)/(5) mR^(2)xx ALPHA` and F = ma (where `a=R alpha`) `:.` mah `=(2)/(5) mRa rArr h=(2)/(5)R` ALSO impulse = change in momentum or `J=Mv`