When a mango falls from a mango tree then

Options

A. Only the earth attracts the mango
B. Only the mango attracts the earth
C. Both mango and earth attract each other
D. Both repel each other

Answer

To solve the question regarding the gravitational interaction when a mango falls from a mango tree, we can break down the problem step by step.

### Step-by-Step Solution:

1. **Understanding the Gravitational Force**:
- The gravitational force between two objects is given by Newton's law of universal gravitation, which states that every point mass attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
- The formula for gravitational force (F) is:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.

2. **Identifying the Masses and Distance**:
- In this scenario, let \( m_m \) be the mass of the mango and \( m_e \) be the mass of the Earth. The distance \( r \) is the distance from the center of the Earth to the mango when it is at the height of the tree.

3. **Applying the Gravitational Force Formula**:
- The gravitational force acting on the mango due to the Earth can be expressed as:
\[ F_{me} = \frac{G \cdot m_m \cdot m_e}{r^2} \]
- This force is directed towards the center of the Earth, indicating that the Earth attracts the mango.

4. **Considering the Force on Earth**:
- According to Newton's third law of motion, the mango also exerts a gravitational force on the Earth. The force exerted by the mango on the Earth is equal in magnitude and opposite in direction to the force exerted by the Earth on the mango:
\[ F_{em} = \frac{G \cdot m_e \cdot m_m}{r^2} \]

5. **Conclusion**:
- Both the mango and the Earth attract each other due to the gravitational force. Therefore, when a mango falls from the tree, it is not just the Earth that pulls the mango down; the mango also pulls the Earth upwards, although this effect is negligible due to the vast difference in their masses.

### Final Answer:
Both the mango and the Earth attract each other due to gravitational force.