Assuming that mass M of the largest stone that can be moved by a flowing river , `rho` the density of water and 'g' the acceleration due to gravity, show that mass M varies as the sixth power of velocity.

A hemi-spherical tank of radius 2 m is initially full of water and has an outlet of 12c m^2 cross-sectional area at the bottom. The outlet is opened at some instant. The flow through the outlet is according to the law v(t)=0.6sqrt(2gh(t)), where v(t) and h(t) are, respectively, the velocity of the flow through the outlet and the height of water level above the outlet and the height of water level above the outlet at time t , and g is the acceleration due to gravity. Find the time it takes to empty the tank.

Calculate the weight of an astronaut whose mass is 80 kg on the surface of earth and on the surface of moon. Given that the acceleration due to gravity at moon is one-sixth of that of earth.

A block f mass M is held against a rough vertical wall by pressing it with a finger. If the coefficient of friction between the block and the wall is mu and the acceleration due to gravity is g. calculate the minimum force required to be applied by the finger to hold the block against the wall?

The escape velocity of a particle of mass m varies directly as

In a shotput event an athlete throws the shotput of mass 10 kg with an initial speed fo 1 ms^-1 at 45^@ from a height 1.5 m above ground. Assuming air resistance to be negligible and acceleration due to gravity to be 10 ms^-2 , the kinetic energy of the shotput when it jst reaches the ground wil be

What is the momentum of an object of mass m moving with velocity v ?

What is the velocity of wave in a sting of line or mass density m when strotched to tension T?

A block of mass 15 kg is placed on a long trolley. The coeffcient os static friction between the block and the trolley is 0.18. The trolley accelerates from rest with 0.5 m s^-2 for 20 s and then moves with uniform velocity. Discuss the motion of the block as viewed by:- an observer moving with the trolley.