A $500 \,kg$ car takes a round turn of radius $50 \,m$ with a velocity of $36 \,km/hr$. The centripetal force is ..........  $N$
AIPMT 1999, Easy
Download our app for free and get startedPlay store
(c)$v = 36\frac{{km}}{h} = 10\frac{m}{s}$

$F = \frac{{m{v^2}}}{r} = \frac{{500 \times 100}}{{50}} = 1000\,N.$

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
    A block $A$ of mass $100\, kg$ rests on another block $B$ of mass $200\, kg$ and is tied to a wall as shown in the figure. The coefficient of friction between $A$ and $B$ is $0.2$ and that between $B$ and the ground is $0.3$. The minimum force $F$ required to move the block $B$ is........ $N$ . $(g = 10\, m/s^2)$
    View Solution
  • 2
    A uniform wooden stick of mass $1.6 \mathrm{~kg}$ and length $l$ rests in an inclined manner on a smooth, vertical wall of height $h( < l)$ such that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of $30^{\circ}$ with the wall and the bottom of the stick is on a rough focr. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the st $ck$. The ratio $h / l$ and the frictional force $f$ at the bottom of the stick are $\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
    View Solution
  • 3
    A coin placed on a rotating table just slips when it is placed at a distance of $1\,cm$ from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of from the centre $............\,cm$
    View Solution
  • 4
    Statement $I :$ A cyclist is moving on an unbanked road with a speed of $7\, kmh ^{-1}$ and takes a sharp circular turn along a path of radius of $2 \,m$ without reducing the speed. The static friction coefficient is $0.2$ . The cyclist will not slip and pass the curve $\left( g =9.8\, m / s ^{2}\right)$

    Statement $II :$ If the road is banked at an angle of $45^{\circ}$, cyclist can cross the curve of $2\, m$ radius with the speed of $18.5\, kmh ^{-1}$ without slipping.

    In the light of the above statements, choose the correct answer from the options given below.

    View Solution
  • 5
    $Assertion$ : There is a stage when frictional force is not needed at all to provide the necessary centripetal force on a banked road.
    $Reason$ : On a banked road, due to its inclination the vehicle tends to remain inwards without any chances of skidding.
    View Solution
  • 6
    An annular ring with inner and outer radii $R_{1}$ and $R_{2}$ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $\frac{F_{1}}{F_{2}}$ is
    View Solution
  • 7
    A body of mass $10\, kg$ is lying on a rough plane inclined at an angle of $30^o$ to the horizontal and the coefficient of friction is $0.5$. the minimum force required to pull the body up the plane is ........ $N$
    View Solution
  • 8
    Block of mass $10 \,kg$ is moving on inclined plane with constant velocity $10 \,m / s$. The coefficient of kinetic friction between incline plane and block is ...........
    View Solution
  • 9
    A box when dropped from a certain height reaches the ground with a speed $v$. When it slides from rest from the same height down a rough inclined plane inclined at angle $45^{\circ}$ to the horizontal, it reaches the ground with a speed $v / 3$. The coefficient of sliding friction between the box and the plane is (Take, acceleration due to gravity is $10 \,ms ^{-2}$ )
    View Solution
  • 10
    A given object takes $n$ times the time to slide down $45^{\circ}$ rough inclined plane as it takes the time to slide down an identical perfectly smooth $45^{\circ}$ inclined plane. The coefficient of kinetic friction between the object and the surface of inclined plane is :
    View Solution