Question: The gravitational field strength at a distance r from a mass M is given by which formula? (2022)
Options:
GM/r^2
Gm/r^2
M/r^2
G/r^2
Correct Answer: GM/r^2
Exam Year: 2022
Solution:
The gravitational field strength is given by E = GM/r^2.
The gravitational field strength at a distance r from a mass M is given by which
Practice Questions
Q1
The gravitational field strength at a distance r from a mass M is given by which formula? (2022)
GM/r^2
Gm/r^2
M/r^2
G/r^2
Questions & Step-by-Step Solutions
The gravitational field strength at a distance r from a mass M is given by which formula? (2022)
Step 1: Understand that the gravitational field strength is a measure of the force of gravity experienced by an object at a certain distance from a mass.
Step 2: Identify the variables in the formula: E represents the gravitational field strength, G is the gravitational constant, M is the mass creating the gravitational field, and r is the distance from the mass.
Step 3: Recognize that the formula for gravitational field strength is derived from Newton's law of universal gravitation.
Step 4: Write down the formula: E = GM/r^2, where E is the gravitational field strength, G is a constant (approximately 6.674 × 10^-11 N(m/kg)^2), M is the mass, and r is the distance from the mass.
Gravitational Field Strength – The gravitational field strength (E) at a distance (r) from a mass (M) is defined as the force per unit mass experienced by a small test mass placed in the field.
Inverse Square Law – The formula E = GM/r^2 illustrates the inverse square relationship, indicating that gravitational field strength decreases with the square of the distance from the mass.
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