Question

A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is:

• A. 0.05 N/kg
• B. 50 N/kg
• C. 20 N/kg
• D. 180 N/kg

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Gravitational field intensity (\(I\) or \(E_g\)) at a point is defined as the gravitational force experienced by a unit mass placed at that point.
It represents the "strength" of the gravitational field at that specific location.
Key Formula or Approach:
The magnitude of gravitational field intensity is given by:
\[ I = \frac{F}{m} \]
where \(F\) is the gravitational force and \(m\) is the mass of the body.
Step 2: Detailed Explanation:
1. Identify given values and convert to SI units:
Force, \(F = 3.0 \text{ N}\).
Mass, \(m = 60 \text{ g}\).
Since \(1 \text{ kg} = 1000 \text{ g}\), \(m = \frac{60}{1000} \text{ kg} = 0.06 \text{ kg}\).
2. Calculate field intensity:
\[ I = \frac{3.0 \text{ N}}{0.06 \text{ kg}} \]
\[ I = \frac{300}{6} \text{ N/kg} \]
\[ I = 50 \text{ N/kg} \]
Step 3: Final Answer:
The gravitational field intensity at the point is 50 N/kg.