The mass of a spaceship is . It is to be launched from the earth's surface out into free space. The value of ' ' and ' ' (radius of earth) are and respectively. The required energy for this work will be:
- A6.4 \times 10^{11} , \text{Joules}
- B6.4 \times 10^8 , \text{Joules}
- C6.4 \times 10^9 , \text{Joules}
- D6.4 \times 10^{10} , \text{Joules}
Solution & Step-by-step Explanation
The energy required to move an object from the surface of the earth to infinity is equal to the change in gravitational potential energy. Since , we have ..