Calculate the maximum acceleration (in $m s ^{-2}$) of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ $\left( g =10 m s ^{-2}\right)$.
NEET 2023, Easy
Download our app for free and get startedPlay store
$F _{ s }= ma$

$f _{ L }= ma a _{\max }$

$\mu mg = ma _{\max }$

$a _{\text {max }}=\mu g$

$=0.15(10)$

$=1.5\,m / s ^2$

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 of mass $10\, kg$ starts sliding on a surface with an initial velocity of $9.8\, ms ^{-1}$. The coefficient of friction between the surface and bock is $0.5$. The distance covered by the block before coming to rest is: [use $g =9.8\, ms ^{-2}$ ].........$m$
    View Solution
  • 2
    A block (mass $=M kg$ ) is placed on a rough inclined plane. A force $F$ is applied parallel to the inclined (as shown in figure) such that it just starts moving upward. The value of $F$ is
    View Solution
  • 3
    The sphere is performing rolling up an inclined plane, the frictional force is
    View Solution
  • 4
    A coin placed on a rotating table just slips if it is placed at a distance $4r$ from the centre. On doubling the angular velocity of the table, the coin will just slip when at a distance from the centre equal to
    View Solution
  • 5
    If a cyclist moving with a speed of $4.9\, m/s$ on a level road can take a sharp circular turn of radius $4 \,m$, then coefficient of friction between the cycle tyres and road is
    View Solution
  • 6
    A metal block is resting on a rough wooden surface. A horizontal force applied to the block is increased uniformly. Which of the following curves correctly represents velocity of the block ?
    View Solution
  • 7
    A body of mass $100\, g$ is sliding from an inclined plane of inclination $30^°$. What is the frictional force experienced if $\mu = 1.7$
    View Solution
  • 8
    Which of the following is a self adjusting force?
    View Solution
  • 9
    The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by
    View Solution
  • 10
    A block is at rest on an inclined plane making an angle $\alpha $ with the horizontal. As the angle $\alpha $ of the incline is increased, the block starts slipping when the angle of inclination becomes $\theta $. The coefficient of static friction between the block and the surface of the inclined plane is 
    View Solution