A ball whose density is 0.5×103kg/m3 falls in to water from a height of 8 cm . To what depth does the ball sink.

Retardation=vρwg−vρbgm                 =vg(ρw−ρb)vρb ,      v2−u2=2as(∵s=d) ⇒d=v22a=2ghρb2g(ρw−ρb) depth d=hρbρw−ρb=8×5001000−500=8×500500Depth d=8cm