The value of g near the earth's surface is 9.8 m/s^2.
Explanation:
The acceleration due to gravity, denoted by the symbol g, is a measure of the gravitational force acting on an object. It is defined as the rate of change of velocity per unit of time. Near the Earth's surface, the value of g is approximately constant.
Here is a detailed explanation of why the value of g near the Earth's surface is 9.8 m/s^2:
1. Definition of g: The acceleration due to gravity, g, is the force per unit mass acting on an object in the gravitational field. It is the acceleration experienced by a freely falling object under the sole influence of gravity.
2. Newton's law of universal gravitation: Newton's law states that every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. In the case of an object near the Earth's surface, the Earth's mass and the object's mass are the main factors influencing the force of gravity.
3. Gravitational field strength: The gravitational field strength, represented by g, is the force per unit mass acting on an object in a gravitational field. It is defined as the gravitational force experienced by a unit mass placed in the field. Near the Earth's surface, the value of g is approximately constant.
4. Value of g near the Earth's surface: The value of g near the Earth's surface is approximately 9.8 m/s^2. This means that for every kilogram of mass, the force of gravity is approximately 9.8 newtons. This value may vary slightly depending on the location and altitude, but it is a good approximation for most practical purposes.
Therefore, the correct answer is option C: 9.8 m/s^2.