Question

How much energy will be necessary for making a body of 500 kg escape from the Earth? (\( g = 9.8 \, \text{m/s}^2 \), radius of the Earth \( = 6.4 \times 10^6 \, \text{m} \))

• A. about 9.8 \( \times 10^6 \) J
• B. about 6.4 \( \times 10^8 \) J
• C. about 3.1 \( \times 10^{10} \) J
• D. about 27.4 \( \times 10^{12} \) J

Hint:

The energy required for escape from the Earth's surface is the gravitational potential energy calculated using the formula \( E = \frac{GMm}{R} \).

Answer 1

The Correct Option is C