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Grade: 12th pass

                        

a rubber ball of mass M and radius R is submitted in water at a depth h and released released what height will the ball jump up to above the surface of water

2 years ago

Answers : (2)

Eshan
askIITians Faculty
2095 Points
							Net force acting on ball upwards=V\rho_w g-Vdg=V(\rho_w-d)g

Hence acceleration of body upwardsa=\dfrac{V(\rho_w-d)g}{M}

Speed of body on reaching the surface=v=\sqrt{2ah}

Hence the maximum height to which the ball jumps under action of gravity=\dfrac{v^2}{2g}=\dfrac{2ah}{2g}=\dfrac{ah}{g} =\dfrac{V(\rho_w-d)h}{M}
=\dfrac{\dfrac{4}{3}\pi R^3.\rho_w-M}{M}h

2 years ago
Gitanjali Rout
184 Points
							
=\dfrac{\dfrac{4}{3}\pi R^3.\rho_w-M}{M}hn,=\dfrac{v^2}{2g}=\dfrac{2ah}{2g}=\dfrac{ah}{g} =\dfrac{V(\rho_w-d)h}{M}Hence the maximum height to which the ball jumps under action of gravityv=\sqrt{2ah}Speed of body on reaching the surface=a=\dfrac{V(\rho_w-d)g}{M}Hence acceleration of body upwards=V\rho_w g-Vdg=V(\rho_w-d)gNet force acting on ball upwards
2 years ago
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