A sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity of the medium in which it moves is `1/(6pi)` , the distance travelled by the body before it stops isA. `(mv)/(2r)`B. `(mv)/(2r)`C. `(mv)/(r)`D. none of these

A sphere of mass m and radius r is projected in a gravity free space w

1.	A sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity of the medium in which it moves is `1/(6pi)` , the distance travelled by the body before it stops isA. `(mv)/(2r)`B. `(mv)/(2r)`C. `(mv)/(r)`D. none of these
Answer» Correct Answer - C The only force acting on the body is the viscous force Here, `m(vdv)/(dx) = -6 pi eta rv = -rv` `rArr underset(v) overset(0)int mdv = underset(0)overset(x)int - rdx rArr x = (mv)/(r)`

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A sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity of the medium in which it moves is `1/(6pi)` , the distance travelled by the body before it stops isA. `(mv)/(2r)`B. `(mv)/(2r)`C. `(mv)/(r)`D. none of these

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