Gravity have a constant acceleration value is:

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9.8

m s^{- 2}

6.8

m s^{- 2}

9.67

m s^{- 2}

None of these

answer is A.

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Detailed Solution

Concept- The Earth's gravitational force is what causes gravity. The mass of the Earth, any neighboring bodies, and the separation from the Earth's center all have an impact on the gravitational pull. According to Newton's second law, force is determined by multiplying mass by acceleration. Combining the two equations allows us to get the gravitational acceleration.
Gravity is the attraction that the Earth's gravitational field has on all bodies that are either on or near its surface. The source of gravitational pull is:

F = G M m / r 2

- (1)
The gravitational force is at play here.
G stands for gravity constant.
M is the mass of the Earth, M is the mass of anything on or near its surface, and M is the distance from the Earth's center.
According to Newton's second law of motion, we are aware that

F = m a

- (2)
Here, a represents the body's acceleration.
Equating equations (1) and (2), we obtain,

G M m / r 2 = m a

Since it is assumed that the object is near the surface of the earth, r=R, where R is the radius of the earth. Therefore,

a = G M / r 2

Since all of the constants in the equation above rely on the acceleration, which is itself a constant and designated by the symbol g for "acceleration owing to gravity," its value is 9.8

m s^{- 2}

.
The gravitational acceleration is therefore constant, and its value is 9.8

m s^{- 2}

.
Hence, option 1 is correct.

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