The free surface of oil in a tanker, at rest, is horizontal. If the tanker starts accelerating the free surface will be tilted by and angle `theta`. If the acceleration is `alpha ms^-2`, what will be the slope of the free surface?

What is the acceleration of free fall?

At what height acceleration due to gravity is three-fourths of that at the surface of earth?

A racing car has uniform acceleration of 4ms^(-2) . What distance will it cover in 10 s after start?

At what height above the earth surface, the acceleration due to gravity will be half that on the surface of earth ? Suppose R is the radius of earth.

A piece of uniform string hangs vertically so that its free end just touches horizontal surface of a table. The upper end of the strig is now released. Show that at any instant during the falling of string, the total force on the surface is three times the weight of that part of string lying on the surface.

An area S is held inside an electric field E, such that normal to the area S subtends angle theta with the direction of electric field. What is the electric flux linked with the surface area?

Why is that molecules of a liquid near the free surface possess extra energy?