A ballon rises from rest with a constant acceleration g/8. A stone is released

A Ballon Rises From Rest With A Constant Acceleration 98 Physics QuestionA Ballon Rises From Rest With A Constant Acceleration 98 Physics Question

A ballon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h.The time taken by the stone to reach the ground is

Options

(a) 4√(h/g)
(b) 2√(h/g)
(c) √(2h/g)
(d) √(g/h)

Correct Answer:

2√(h/g)

Explanation:

No explanation available. Be the first to write the explanation for this question by commenting below.

AddThis Website Tools
admin:

View Comments (1)

  • The velocity of the balloon at the height h is
    v = √(2ah) = √(2gh/8) = √(gh)/2

    Initial velocity of the stone at height h is u = √(gh)/2 upwards
    h = ut + gt²/2
    put the value of u in the above relation and rearrange the terms to obtain,
    (√(gH)/2 )t  + gt²/2 - h = 0

    (√(gH))t  + gt² - 2h = 0

    The time taken by the stone to reach the ground can be obtained by solving the above quadratic.

    t = 2√[h/g]

Related Questions

  1. A disc of radius 0.1 m is rotating with a frequency 10 rev/sec in a normal magnetic
  2. Consider a two particle system with particle having masses m₁ and m₂. If the first
  3. A block of 2 kg is kept on the floor. The coefficient of static friction is 0.4
  4. Large transformers, when used for some time, become hot and are cooled by circulating
  5. Electromagnets are made of soft iron because soft iron has