If the earth stops rotating, then the weight of an object at the north pole will

Options

A. decrease
B. increase
C. have twice its value at south pole
D. remain thee same

Explanation

To solve the problem of how the weight of an object at the North Pole will change if the Earth stops rotating, we can follow these steps:

### Step 1: Understand the Concept of Weight
Weight is defined as the force exerted on an object due to gravity. It can be calculated using the formula:
\[ W = mg \]
where \( W \) is the weight, \( m \) is the mass of the object, and \( g \) is the acceleration due to gravity.

### Step 2: Identify the Effects of Earth's Rotation
While the Earth is rotating, there is a centrifugal force acting on objects at the surface, which slightly reduces their effective weight. This effect is more pronounced at the equator and negligible at the poles.

### Step 3: Analyze the Situation When the Earth Stops Rotating
If the Earth stops rotating, the centrifugal force will no longer act on objects. However, the gravitational force remains unchanged because the mass of the Earth and the distance from the center of the Earth to the object (at the North Pole) remain constant.

### Step 4: Calculate the Weight at the North Pole
The weight of an object at the North Pole while the Earth is rotating can be expressed as:
\[ W = mg - F_c \]
where \( F_c \) is the centrifugal force. Since \( F_c \) is negligible at the poles, we can say:
\[ W \approx mg \]

When the Earth stops rotating, the centrifugal force \( F_c \) becomes zero, and the weight of the object becomes:
\[ W = mg \]

### Step 5: Conclusion
Thus, the weight of an object at the North Pole will remain the same if the Earth stops rotating. The gravitational force acting on it does not change, and the absence of centrifugal force does not lead to an increase in weight.

### Final Answer
If the Earth stops rotating, the weight of an object at the North Pole will remain the same.

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