Question

near the earth surface the amount of mass an object has does not affect its acceleration due to gravity

Answer 1

True

Step-by-step explanation:

As per the gravitational law, the gravitational force (F) can be expressed as

`F = (GMm)/(r^(2) )` ------------- (1)

where,

`F=` Gravitational force

`G=` Gravitational constant

`M=` Mass of the Earth

`m=` Mass of the object

`r=` Distance between Earth and object

Also, the force due to gravity,

`F=mg` ------------- (2)

where,

`F=` Gravitational force

`g=` Acceleration due to gravity

`m=` Mass of the object

Deducing both the equations

`mg = (GMm)/(r^(2) )\\ g = (GM)/(r^(2) )\\`

From the above equation it is clear that the acceleration due to gravity is independent of the mass of the object.