Answer:
21.8 m
Explanation:
Net force on the ball inside water
= Buoyant force - weight of ball
= mρg - mdg
where ρ is density of water and d is density of ball
= m ( ρ - .35ρ ) g
This force acts on the ball upto distance .73 m so work done by force will be equal to kinetic energy acquired by the ball.
m ( ρ - .35ρ ) g x .73 = 1/2 mv²
10³ ( 1 - .35 ) x g x .73 = 1/2 mv²
v² = 10³ x .65 x 9.8 x .73 x 2
v² = 9300
After emerging from water , buoyant force stops acting on it.
It will stop at height such that
1/2 mv² = mgh
v² = 2gh
h = v² / 2g
9300 / 2 x 9.8
= 21.8 m
