If the gravitational potential at a point is -30 J/kg, what is the gravitational

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Question: If the gravitational potential at a point is -30 J/kg, what is the gravitational field strength at that point?

Options:

Correct Answer: 3 N/kg

Solution:

The gravitational field strength can be found using the relation E = -dV/dr. If V = -30 J/kg, E = 3 N/kg.

If the gravitational potential at a point is -30 J/kg, what is the gravitational field strength at that point?

If the gravitational potential at a point is -30 J/kg, what is the gravitational field strength at that point?

Step 1: Understand that gravitational potential (V) is given as -30 J/kg.
Step 2: Know that the gravitational field strength (E) can be calculated using the formula E = -dV/dr, where dV is the change in gravitational potential and dr is the change in distance.
Step 3: In this case, we can simplify the calculation by recognizing that the gravitational field strength is related to the gravitational potential directly.
Step 4: The gravitational field strength (E) is equal to the negative of the gravitational potential (V) divided by the distance (r) over which the potential changes. However, if we assume a uniform field, we can directly use the value of V.
Step 5: Since V = -30 J/kg, we can say that E = -(-30) = 30 N/kg.
Step 6: Therefore, the gravitational field strength at that point is 30 N/kg.

Gravitational Potential and Field Strength – Understanding the relationship between gravitational potential (V) and gravitational field strength (E), where E is the negative gradient of V.