Chapter 13, Problem 12A

To determine

Whether the given statement is true or false.

Answer to Problem 12A

The given statement is true.

Explanation of Solution

Introduction:

The region surrounding the Earth in which the other particles experience a force of attraction towards the Earth is called Earth’s gravitational field. The gravitational field is a vector quantity and is directed towards the center of the earth. The gravitational field will become smaller and smaller as the particles move farther and farther away from the Earth.

The strength of a gravitational field at any point is the ratio of gravitational force to the mass of a particle at that particular point. The gravitational field strength is given by the relation,

  $g\text{ = }\frac{F_g}{m}$

Where,

  $g$ is the gravitational field strength in $\text{N/kg}$

  $F_g$ is the gravitational force in $\text{N}$

  $m$ is mass in $\text{kg}$

Conclusion:

Therefore, the given statement is true.