L-08 Free fall

 Free fall :

  • Force of gravity due to the earth acts on each and every object. 
  • Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. 
  • In free fall, the initial velocity of the object is zero and goes on increasing due to the acceleration due to gravity of the earth. 
  • During free fall, the frictional force due to air opposes the motion of the object and a buoyant force also acts on the object. 
  • Thus, true free fall is possible only in vacuum.
  • For a freely falling object, the velocity on reaching the earth and the time taken for it can be calculated by using Newton’s equations of motion. 
  • For free fall, the initial velocity u = 0 and the acceleration a = g. Thus we can write the equations as
v = gt

s = ½ gt

v² = 2gs

  • For calculating the motion of an object thrown upwards, acceleration is negative, i.e. in a direction opposite to the velocity and is taken to be – g. 
  • The magnitude of g is the same but the velocity of the object decreases because of this -ve acceleration.
  • The moon and the artificial satellites are moving only under the influence of the gravitational field of the earth. Thus they are in free fall.
Galileo Experiment :
  • When we drop a feather and a heavy stone at the same time from a height, they do not reach the earth at the same time. 
  • The feather experiences a buoyant force and a frictional force due to air and therefore floats and reaches the ground slowly, later than the heavy stone. 
  • The buoyant and frictional forces on the stone are much less than the weight of the stone and does not affect the speed of the stone much. 
  • Recently, scientists performed this experiment in vacuum and showed that the feather and stone indeed reach the earth at the same time.