The gravitational force between two objects is described by Newton's Law of Universal Gravitation. We will use this law to determine how the force changes when the mass of Earth is doubled while its radius remains constant.
Correct Option: A) It doubles. When the mass of Earth is doubled, and all other factors (mass of the person, distance/radius) remain constant, the gravitational force between Earth and the person also doubles, as per Newton's Law of Universal Gravitation, which states that force is directly proportional to the product of the masses.
The question asks about the fundamental nature of gravitational force. We need to recall the basic properties of gravity as described by Newton's Law of Universal Gravitation.
Correct Option: D) It is always attractive. This statement accurately describes the nature of gravitational force, which is universally attractive between any two objects possessing mass.
What is the SI unit of gravitational constant?
To determine the SI unit of the gravitational constant (\(G\)), we use Newton's Law of Universal Gravitation, which describes the attractive force between two masses. By rearranging the formula to isolate \(G\), we can substitute the SI units of the other quantities involved to find its unit.
Therefore, the SI unit of the gravitational constant is \(\text{N} \cdot \text{m}^2 / \text{kg}^2\) or \(\text{N} \cdot \text{m}^2 \cdot \text{kg}^{-2}\).
C) \(\text{N} \cdot \text{m}^2 / \text{kg}^2\) or \(\text{N} \cdot \text{m}^2 / \text{kg}^{-2}\) is the correct SI unit for the gravitational constant, as derived from Newton's Law of Universal Gravitation.
The question asks for the formula to calculate the weight of an object. Weight is a force, specifically the force of gravity acting on an object's mass. We need to recall the fundamental relationship between force, mass, and acceleration.
Therefore, the weight of an object is its mass multiplied by the acceleration due to gravity.
A) Weight = Mass * Acceleration due to gravity
This formula, \(W = mg\), correctly defines weight as the force exerted on an object due to gravity, where \(m\) is the mass and \(g\) is the acceleration due to gravity.
This question asks about the change in gravitational force when the distance between two objects is doubled. We need to use Newton's Law of Universal Gravitation to determine the relationship between gravitational force and distance.
Correct Option: C) It becomes one-fourth
The question asks for the correct statement of Newton's Law of Universal Gravitation. This law describes the attractive force between any two objects with mass. We need to recall the mathematical relationship between gravitational force, masses of the objects, and the distance between them.
Correct Option: A) The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers