A rocket is fired from the earth towards the sun. At what distance from the earth's centre is the gravbitaional force on the rocket zero? Mass of the sun`=2xx10^(30)kg`, mass of the earth`=6xx10^(24)kg`. Neglect the effect of other planets etc. (orbital radius=`1.5xx10^(11)m`).

Explanation

To find the distance from the Earth's center where the gravitational force on the rocket is zero, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Variables**:
- Let \( M_1 \) be the mass of the Sun: \( M_1 = 2 \times 10^{30} \, \text{kg} \)
- Let \( M_2 \) be the mass of the Earth: \( M_2 = 6 \times 10^{24} \, \text{kg} \)
- Let \( R \) be the distance from the Earth to the Sun: \( R = 1.5 \times 10^{11} \, \text{m} \)
...