A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20\, m.$ The speed of the car at the top of the hill is between
AIPMT 2008, Medium
Download our app for free and get startedPlay store
$m g=\frac{m v^2}{R} \Rightarrow v=\sqrt{R g}$
$v=\sqrt{20 \times 10}=\sqrt{200}=14.1 m / s$
i.e, . Between $14$ and $15 m / s$.
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Imagine $a$ situation in which the horizontal surface of block $M_0$ is smooth and its vertical surface is rough with $a$ coefficient of friction $\mu$ In above problem, the value $(s)$ of $F$ for which $M$ and $m$ are stationary with respect to $M_0 mg$
    View Solution
  • 2
    A block rests on a rough inclined plane making an angle of ${30^o}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10 \,N$, the mass of the block (in kg) is (take $g = 10\,\,m/{s^2})$
    View Solution
  • 3
    A particle of mass $M$ moves with constant speed along a circular path of radius $ r$ under the action of a force $F$. Its speed is
    View Solution
  • 4
    Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is $0.04$ , the acceleration of the system in $\mathrm{ms}^{-2}$ is :

    (Consider that the string is massless and unstretchable and the pulley is also massless and frictionless):

    View Solution
  • 5
    The force required to keep a body in uniform circular motion is
    View Solution
  • 6
    A cyclist riding the bicycle at a speed of $14\sqrt 3  ms^{-1}$takes a turn around a circular road of radius  $20\sqrt 3 $ m without skidding. Given $g = 9.8 ms^{-2},$ what is his inclination to the vertical ....... $^o$
    View Solution
  • 7
    A uniform chain of length $L$ changes partly from a table which is kept in equilibrium by friction. The maximum length that can withstand without slipping is $l$, then coefficient of friction between the table and the chain is
    View Solution
  • 8
    A body of mass $1\, kg$ tied to one end of string is revolved in a horizontal circle of radius $0.1\, m$ with a speed of $3$ revolution/sec, assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be
    View Solution
  • 9
    A block of mass $M$ is sliding down the plane. Coefficient of static friction is $\mu _s$ and kinetic friction is $\mu _k.$ Then friction force acting on the block is :-
    View Solution
  • 10
    A particle is moving along the circle $x^2 + y^2 = a^2$ in anti clock wise direction. The $x-y$ plane is a rough horizontal stationary surface. At the point $(a\, cos\theta , a\, sin\theta )$, the unit vector in the direction of friction on the particle is:
    View Solution