Weight of the Body

The weight of a body is the force with which it is attracted towards the center of the Earth due to gravity. It is given by the equation:

Weight = mass × acceleration due to gravity

The acceleration due to gravity, denoted by 'g', is a constant value which is approximately equal to 9.8 m/s² on the surface of the Earth. The mass of the body is also a constant value and does not change.

Acceleration of the Body

The body is moving with an acceleration 'a' under the action of force 'g'. This means that there is an external force acting on the body, causing it to accelerate. The net force acting on the body can be given by Newton's second law of motion:

Net force = mass × acceleration

Since the given force 'g' is causing the acceleration 'a', we can equate the two forces:

g = mass × a

Weight in terms of Acceleration

Substituting the value of 'a' from the above equation into the weight equation, we get:

Weight = mass × acceleration due to gravity

Weight = mass × (g / mass)

Weight = g

Therefore, the weight of the body is equal to the acceleration due to gravity, which is a constant value of approximately 9.8 m/s² on the surface of the Earth. The weight does not depend on the acceleration 'a' experienced by the body. It solely depends on the mass of the body and the acceleration due to gravity.