For finding the maximum height of a mountain on the earth, we have to consider

The maximum height of a mountain on earth is limited by the rock flowing under the enormous weight above it. Studies show that maximum height depends on young’s modulus (Y) of the rod, acceleration due to gravity (g) and the density of the rock (d). (a) Write an equation showing the dependence of maximum height (h) of mountain on Y, g and d. It is given that unit of Y is Nm^(-2) . (b) Take d = 3 xx 10^(3) kg m^(-3), Y = 1 xx 10^(10) Nm^(-2) and g = 10 ms^(-2) and assume that maximum height of a mountain on the surface of earth is limited to 10 km [height of mount Everest is nearly 8 km]. Write the formula for h.

If a pendulum swings with the same period at the top of the mountain and at the bottom of the mine then the ratio between height H of a mountain and the depth h of a mine is :

A high mountain found in temperate area will have zones

Prove that the maximum horizontal range is four times the maximum height attained by the projectile, when fired at an inclination so as to have maximum horizontal range.

Prove that the maximum horizontal range is four times the maximum height attained by the projectile, when fired at an inclination so as to have maximum horizontal range.

Prove that the maximum horizontal range is four times the maximum height attained by the projectile, when fired at an inclination so as to have maximum horizontal range.

A body is projected up from the surface of the earth with a velocity half the escape velocity at an angle of 30^(@) with the horizontal. Neglecting air resistance and earth’s otation, find (a) the maximum height above the earth’s surface to which the body will rise. (b) will the body move around the earth as a satellite?