Respuesta :
Answer:
True
Explanation:
As per the gravitational law, the gravitational force (F) can be expressed as
[tex]F = \frac{GMm}{r^{2} } [/tex] ------------- (1)
where,
[tex]F=[/tex] Gravitational force
[tex]G=[/tex] Gravitational constant
[tex]M=[/tex] Mass of the Earth
[tex]m=[/tex] Mass of the object
[tex]r=[/tex] Distance between Earth and object
Also, the force due to gravity,
[tex]F=mg [/tex] ------------- (2)
where,
[tex]F=[/tex] Gravitational force
[tex]g=[/tex] Acceleration due to gravity
[tex]m=[/tex] Mass of the object
Deducing both the equations
[tex]mg = \frac{GMm}{r^{2} }\\ g = \frac{GM}{r^{2} }\\[/tex]
From the above equation it is clear that the acceleration due to gravity is independent of the mass of the object.
