A hemispherical bowl of radius R is placed upside down on a flat horizontal surface. There is a small hole at the top of the inverted bowl. Through the hole, a liquid of density `rho` is poured in. Exactly when the container gets full, water starts leaking from between the table and the edge of the container. Find the mass (m) of the contaienr.

A container filled with liquid up to height h is placed on a smooth horizontal surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves in a backward direction with acceleration a and finally, when all the liquid is drained out, it acquires a velocity v . Neglect mass of the container. In this case

A container filled with liquid up to height h is placed on a smooth horizontal surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves in a backward direction with acceleration a and finally, when all the liquid is drained out, it acquires a velocity v . Neglect mass of the container. In this case

Consider a cuboidal vessel (2Rxx2RxxR) with as hemispherical cavity of radius R , kept at a horizontal smooth surface as shown in the figure. The vessel has very small hole of cross-sectional area "a". Now water of density rho is poured into space developed due horizontal surface adn vessel through hole very slowly. When the height of waer level is h , the vessel lifts off the surface and liquid leaks through space generated. (R=2m, rho=10^(3)kg//m^(3),m=9pi kg) . If the value of h is 5kcm , find the value of k . (Atmospheric pressure =10^(5)N//m^(2) ).

A hemispherical bowl of radius R=5 metre is fixed on a horizontal surface its inner surface to be smooth. Three smooth and perfectly inelastic ball of mass 3kg , 4kg and 5kg simultaneously released from the edge of bowl in such way that during the collision with each other, their kinetic energy loss is maximum. If the maximum kinetic energy lost during the collision is 300n Joule. Find the value of n . (take g=10 m//s^(2) )

Figure shows a body A at the top of a frictionless hemispherical inverted bowl of radius R. If the body starts slipping from the highest point, then the horizontal distance between the point where it leaves contact with sphere and the point at which the body was placed is

Figure shows a body A at the top of a frictionless hemispherical inverted bowl of radius R. If the body starts slipping from the highest point, then the horizontal distance between the point where it leaves contact with sphere and the point at which the body was placed is