Computer the work which must be performed to slowly pump the water out of a hemispherical reservoir of radius `R=0.6m`.

A small block of mass m os takes slowly up a fixed hemisphere from P to Q and then slowly down along its surface from Q to S by force F , which at each point of the surface, is tangential to the surface. If the coefficient of friction is mu , then the work performed by the force F in taking the block from P to S along the hemispherical surface of radius R is :

A small block of mass m os takes slowly up a fixed hemisphere from P to Q and then slowly down along its surface from Q to S by force F , which at each point of the surface, is tangential to the surface. If the coefficient of friction is mu , then the work performed by the force F in taking the block from P to S along the hemispherical surface of radius R is :

The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is

The amount of work done in pumping water out of a cubical vessel of height 1 m is nearly ( g = 10 ms^(-2))

Calculate the gravitational field intensity at the centre of the base of a hollow hemisphere of mass M and radius R . (Assume the base of hemisphere to be open)

Calculate the gravitational field intensity at the centre of the base of a hollow hemisphere of mass M and radius R . (Assume the base of hemisphere to be open)

Water is flowing out at the rate of 6(m^(3))/(min) from a reservoir shaped like a hemispherical bowl of radius R=13m. The volume of water in the hemispherical bowl is given by V=(pi)/(3)*y^(2)(3R-y) when the water is y meter deep.Find

A spherical shell of radius r with a uniform charge q has point charge q_(0) at its centre. Find the work performed by the electric forces during the shell expansion slowly from radius R to 2R. Also find out work done by external agent against electric forces.

A reservoir whose volume is 100 L is filled with brine, which contains 1 kg of disolved salt. the reservoir is fed with water, which enters it at the rate of 3 L/min. This mixture is pumped over the second reservoir whose capacity is also 100 L and which is originally filled with pure water. As a result the surplus quantity of liquid is pouring out of second reservoir. Both the reservoir are kept homogenous at all times. How much salt will the second reservoir have in an hours time?