A car is moving on a circular level road of curvature $300\,metres.$ If the coefficient of friction is $0.3$ and acceleration due to gravity is $10\,m/s^2,$ the maximum speed the car can have is ........ $km/hr$
Medium
Download our app for free and get started
$\mu=\frac{v^{2}}{r g}$
$v^{2}=\mu r g$
$v=\sqrt{\frac{0.3}{10} \times 300 \times 10}$
$v=30 \mathrm{m} / \mathrm{sec}$
$v=30 \times \frac{18}{5}=108 \mathrm{km} / \mathrm{hr}$
Download our appand 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
- 1If acceleration of $A$ is $2 \,m / s ^2$ which is smaller than acceleration of $B$ then the value of frictional force applied by $B$ on $A$ is ......... $N$View Solution
- 2......... $m/s^2$ is magnitude of acceleration of a block moving with speed $10\,m/s$ on a rough surface if coefficient of friction is $0.2$.View Solution
- 3A body of mass $2$ kg is moving on the ground comes to rest after some time. The coefficient of kinetic friction between the body and the ground is $0.2$. The retardation in the body is ...... $m/s^2$View Solution
- 4Concretemixture is made by mixing cement, stone and sand in a rotating cylindrical drum . If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute (rpm) to ensure proper mixing is close to (Take the radius of the drum to be $1.25\, m$ and its axle to be horizontal)View Solution
- 5A block of mass $5\, kg$ is kept on a rough horizontal floor. It is given a velocity $33\, m/s$ towards right. A force of $20\sqrt {2\,} \,N$ continuously acts on the block as shown in the figure. If the coefficient of friction between block and floor is $0.5$ the velocity of block after $3\, seconds$ is ........ $m/s$ ($g = 10\, m/s^2$)View Solution
- 6The blocks $A$ and $B$ are arranged as shown in the figure. The pulley is frictionless. The mass of $A$ is $10 \,kg$. The coefficient of friction of $A$ with the horizontal surface is $0.20$. The minimum mass of $B $ to start the motion will be...... $kg$View Solution
- 7A $500 \,kg$ car takes a round turn of radius $50 \,m$ with a velocity of $36 \,km/hr$. The centripetal force is .......... $N$View Solution
- 8View SolutionStatic friction between two surfaces
- 9A block of mass $4\, kg$ rests on an inclined plane. The inclination of the plane is gradually increased. it is found that when the inclination is $3$ in $5\left( {\sin \theta = \frac{3}{5}} \right)$, the block just begins to slide down the plane. The coefficient of friction between the block and the plane isView Solution
- 10View SolutionWhich of the following is a self adjusting force?