Chemical Engineering Basics

Q1: The escape velocity of a body on earth which is independent of its mass is about __________ km/second.

A 3

B 7

C 11

D 15

ANS:C - 11

The escape velocity of a body on Earth, which is independent of its mass, is about 11 kilometers per second. Explanation: Escape velocity is the minimum velocity required for an object to overcome the gravitational attraction of a celestial body and escape into space without further propulsion. It is calculated using the formula: ve​=R2GM​​ Where:

  • ve​ is the escape velocity,
  • G is the gravitational constant,
  • M is the mass of the celestial body, and
  • R is the distance from the center of the celestial body to the point where the object is located.
For Earth, the approximate value of the escape velocity is about 11 kilometers per second (km/s), regardless of the mass of the object attempting to escape. This means that whether the object is a small satellite or a large spacecraft, it would need to achieve a velocity of approximately 11 km/s relative to Earth's surface to escape its gravitational pull and enter orbit around Earth or travel into space. Therefore, the escape velocity of a body on Earth, which is independent of its mass, is about 11 kilometers per second.
 



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