If the gravitational potential at a point is -30 J/kg and the gravitational fiel
Practice Questions
Q1
If the gravitational potential at a point is -30 J/kg and the gravitational field strength is 5 N/kg, what is the distance from the mass?
6 m
3 m
5 m
4 m
Questions & Step-by-Step Solutions
If the gravitational potential at a point is -30 J/kg and the gravitational field strength is 5 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 = -30 J/kg and g = 5 N/kg.
Step 3: Substitute the values into the formula: -30 = -5 * r.
Step 4: To solve for r, first remove the negative signs: 30 = 5 * r.
Step 5: Now, divide both sides by 5 to isolate r: r = 30 / 5.
Step 6: Calculate the value: r = 6 m.
Gravitational Potential – Gravitational potential is the work done per unit mass to bring an object from infinity to a point in a gravitational field.
Gravitational Field Strength – Gravitational field strength is the force experienced by a unit mass placed in the field, measured in N/kg.
Distance Calculation – The relationship between gravitational potential, gravitational field strength, and distance is given by the formula V = -g * r.
