Physics
Mechanics
Easy

Question

If a body is projected with a speed lesser than escape velocity, then

  1. the body can reach a certain height and may fall down following a straight line path
  2. the body can reach a certain height and may fall down following a parabolic path
  3. the body may orbit the earth in a circular orbit
  4. the body may orbit the earth in an elliptical orbit

The correct answers are: the body can reach a certain height and may fall down following a straight line path, the body can reach a certain height and may fall down following a parabolic path, the body may orbit the earth in a circular orbit, the body may orbit the earth in an elliptical orbit


    i. If v less than v subscript e and the body is projected vertically upwards, the body will rise up to that height where its velocity becomes zero. After that it will fall freely due to gravity following a straight line path.
    ii. If v less than v subscript e but the body is projected at some angle w.r.t. vertical direction, the body will reach up to a certain height (where vertical component of the velocity becomes zero) and then fall down following a parabolic path (this will be a case of projectile motion).
    iii. If v equals v subscript 0 equals square root of G M divided by R end root, then the orbit will be circular. But if v subscript 0 less than v less than v subscript e (escape velocity), then the orbit will be an ellipse.
    So, all the options are correct.

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