Question

The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s² and 6400 km, respectively. The required energy for this work will be ______.

विकल्प

• 6.4 × 10¹¹ J

• 6.4 × 10⁸ J

• 6.4 × 10⁹ J

• 6.4 × 10¹⁰ J

Answer 1

The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s² and 6400 km, respectively. The required energy for this work will be 6.4 × 10¹⁰ J.

Explanation:

W = `0-(-"GMm"/"R")="GMm"/"R"`

= `"gR"^2xx"m"/"R"` = mgR

= 1000 × 10 × 6400 × 10³ 

= 64 × 10⁹ J

= 6.4 × 10¹⁰