Falling Objects and Acceleration Due to Gravity: Motion of Particles Under Gravity

What is the SI unit of acceleration due to gravity? What is its value on the surface of the Earth?

 Which of the two, $g$ and $G$
(a) is a vector? 
(b) does not change with the location on the earth's surface? 

(a) Show that the value of 'g' decreases as we go to higher altitudes above the surface of the earth. (b) Mention one practical application of this property of 'g'. 

An apple falls towards the earth due to the gravitational force of attraction. The apple also attracts the earth with the same force. Why do we not see the earth rising towards the apple? Explain. 

Show that the acceleration of a body falling towards the earth is independent of the mass of the body.

The value of acceleration due to gravity

A boy is whirling a stone tied with a string in a horizontal circular path. If the string breaks, the stone

A rocket is launched to travel vertically upwards with a constant velocity of $20 \mathrm{m} {\mathrm{s}}^{-1}$. After travelling for $35 \mathrm{seconds}$ the rocket develops a snag and its fuel supply is cut off. The rocket then travels like a free body. What is the total height achieved by it? After what time of its launch will it come back to the earth?

Two objects of different masses falling freely near the surface of moon would

An object is dropped from an aircraft when it is directly above a target at a height of $1000 \mathrm{m}$. The aircraft is moving with a velocity of $500 \mathrm{km} {\mathrm{hr}}^{-1}$. Will the bomb hit the target, if not, by how much distance it will miss the target?

A body is dropped from the top of a tower. During the last second of its fall, it covers ${\left(\frac{16}{25}\right)}^{th}$ of the height of the tower. Calculate the height of the tower.

Why does a stone dropped from a certain height fall on the earth?

At what place on the earth the value of $\mathrm{g}$ becomes zero?

Is the value of $\mathrm{g}$ on the surface of the earth is constant?

How $\mathrm{g}$ is related to $\mathrm{G}$?

One kilogram-force (kgf) unit is equal to $9.8 \mathrm{N}$ on the earth. 

Acceleration due to gravity is a vector quantity and is directed towards the center of the heavenly body.

How is the acceleration due to gravity related to the gravitational constant? Which of the two is a vector quantity? 

If there is no air resistance, the value of $g$

Mention three differences between '$g$' and '$G$'.