A person will ge more quantity of matter in kg-wt at

Options

A. poles
B. a latitude of `60^(@)`
C. equator
D. satellite

Answer

To determine where a person will get more quantity of matter in kg-wt, we need to analyze the effects of gravitational force and centrifugal force at different locations on Earth.

### Step-by-Step Solution:

1. **Understanding Forces at Play**:
- When a person weighs an object, the weighing machine measures the normal force (N) exerted by the object on it. This normal force is affected by both gravitational force (mg) and centrifugal force due to Earth's rotation.

2. **Identifying the Forces**:
- The gravitational force acting on the object is given by \( F_g = mg \), where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity.
- The centrifugal force acting on the object at the equator due to Earth's rotation is given by \( F_c = m \omega^2 r \), where \( \omega \) is the angular velocity of Earth's rotation and \( r \) is the radius of Earth.

3. **Force Balance Equation**:
- The normal force can be expressed as:
\[ N = mg - m \omega^2 r \]
- This equation shows that the normal force (and thus the weight measured by the scale) decreases due to the centrifugal force at the equator.

4. **Comparing Different Locations**:
- At the equator, the centrifugal force is maximized because the radius \( r \) is at its largest value (Earth's radius).
- As we move towards the poles, the radius \( r \) decreases, and the effect of centrifugal force diminishes, leading to a higher normal force.

5. **Conclusion**:
- Since the normal force (N) is less at the equator due to the higher centrifugal force, a person will measure a lower weight for the same mass at the equator compared to other locations (like the poles).
- Therefore, to obtain more quantity of matter in kg-wt, the person should be at the **Equator**.

### Final Answer:
The person will get more quantity of matter in kg-wt at the **Equator**.

---