If suddenly the gravitational force of attraction between earth and satellite revolving around it becomes zero, then the satellite will

Options

A. continue to move in its orbit with same velocity
B. move tangentially to the orginal orbit with same velocity
C. become statinary in its orbit
D. move towards the earth.

Answer

To solve the problem, we need to analyze the situation when the gravitational force of attraction between the Earth and the satellite suddenly becomes zero.

### Step-by-Step Solution:

1. **Understanding the Forces Acting on the Satellite**:
- When the satellite is in orbit around the Earth, it experiences two main forces: the gravitational force (Fg) pulling it towards the Earth and the centripetal force (Fc) required to keep it in circular motion.

2. **Condition of Equilibrium**:
- For the satellite to remain in a stable orbit, the gravitational force must equal the centripetal force. Mathematically, this can be expressed as:
\[ F_g = F_c \]
- Here, \( F_g = \frac{G M m}{r^2} \) (gravitational force) and \( F_c = \frac{m v^2}{r} \) (centripetal force), where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, \( m \) is the mass of the satellite, \( r \) is the distance from the center of the Earth to the satellite, and \( v \) is the orbital velocity of the satellite.

3. **Sudden Removal of Gravitational Force**:
- If the gravitational force suddenly becomes zero, it means that \( F_g = 0 \). This results in the absence of any force acting on the satellite.

4. **Effect on the Satellite's Motion**:
- According to Newton's first law of motion, an object in motion will continue to move in a straight line at constant velocity unless acted upon by an external force. Since the gravitational force is now zero, there is no force to change the satellite's state of motion.

5. **Conclusion**:
- The satellite will continue to move in a straight line tangentially to its original circular orbit at the same speed it had at the moment the gravitational force became zero. This means it will escape into space along a path that is tangential to its previous orbit.

### Final Answer:
If the gravitational force of attraction between the Earth and the satellite suddenly becomes zero, the satellite will move tangentially to its original orbit with the same velocity and escape into space.