Question:

A stone of mass $m$ tied to a string of length $l$ is rotated in a circle with the other end of the string as the centre. The speed of the stone is $ \upsilon $ . If the string breaks, the stone will:

Updated On: Jul 12, 2022
  • move towards the centre
  • move away from the centre
  • move along tangent
  • stop
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The Correct Option is C

Solution and Explanation

When the string breaks, centripetal force on stone becomes zero. So, net acceleration on the stone is zero. So, stone move on straight path i.e., along tangent.
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration