Question: If the gravitational potential at a point is -20 J/kg and the gravitational field strength is 4 N/kg, what is the distance from the mass?
Options:
5 m
10 m
15 m
20 m
Correct Answer: 10 m
Solution:
Using V = -g * r, we have -20 = -4 * r, thus r = 20/4 = 5 m.
If the gravitational potential at a point is -20 J/kg and the gravitational fiel
Practice Questions
Q1
If the gravitational potential at a point is -20 J/kg and the gravitational field strength is 4 N/kg, what is the distance from the mass?
5 m
10 m
15 m
20 m
Questions & Step-by-Step Solutions
If the gravitational potential at a point is -20 J/kg and the gravitational field strength is 4 N/kg, what is the distance from the mass?
Step 1: Understand the formula for gravitational potential (V) which is V = -g * r, where V is the gravitational potential, g is the gravitational field strength, and r is the distance from the mass.
Step 2: Identify the values given in the question: V = -20 J/kg and g = 4 N/kg.
Step 3: Substitute the values into the formula: -20 = -4 * r.
Step 4: To solve for r, first remove the negative signs: 20 = 4 * r.
Step 5: Now, divide both sides by 4 to isolate r: r = 20 / 4.
Step 6: Calculate the value: r = 5 m.
Gravitational Potential and Field Strength – Understanding the relationship between gravitational potential (V), gravitational field strength (g), and distance (r) from the mass, where V = -g * r.
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