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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 ______.
Options
6.4 × 1011 J
6.4 × 108 J
6.4 × 109 J
6.4 × 1010 J
MCQ
Fill in the Blanks
Solution
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
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