Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2015PhysicsMotion in Two DimensionsActual

Two stones of masses m and 2 m are whirled in horizontal circles, the heavier one in radius r 2 and the lighter one in radius r . The tangential speed of lighter stone is n times that of the tangential speed of the heavier stone. They are reported to experience the same centripetal force. The value of n is,

Options

  1. A3
  2. B4
  3. C1
  4. D2

Correct answer

D. 2

Step-by-step solution

F c p l i g h t = F c p h e a v y So, equating the centripetal forces, m v 1 2 r = 2 m v 2 2 r 2 So, v 1 = 2 v 2

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten 2024A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true? 2023A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~ 2023A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is 2023A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 ) 2022 Full Motion in Two Dimensions list All NEET PYQs