A body takes just twice the time as long to slide down a plane inclined at $30^o$ to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is
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A body of mass $10\,kg$ is moving with an initial speed of $20\,m / s$. The body stops after $5\,s$ due to friction between body and the floor. The value of the coefficient of friction is (Take acceleration due to gravity $g =10\; ms ^{-2}$)
A $2\,kg$ block slides on a horizontal floor with a speed of $4\, m/s$. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is $110\,N$ and spring constant is $1000\, N/m$. The spring compresses by ........ $cm$
A box of mass $m\, kg$ is placed on the rear side of an open truck accelerating at $4\, m/s^2$. The coefficient of friction between the box and the surface below it is $0.4$. The net acceleration of the box with respect to the truck is zero. The value of $m$ is :- $[g = 10\,m/s^2]$
Aball of mass $m$ is thrown vertically upwards.Assume the force of air resistance has magnitude proportional to the velocity, and direction opposite to the velocity's. At the highest point, the ball's acceleration is
A block of mass $15 \,kg $ is resting on a rough inclined plane as shown in figure. The block is tied up by a horizontal string which has tension of $50\,N$. The minimum coefficient of friction between the surfaces of contact is $(g = 10\,m/s^2)$
Concretemixture 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)
In figure, the coefficient of friction between the floor and the block $B$ is $0.2$ and between blocks $A$ and $B$ is $0.3$. ........ $N$ is the maximum horizontal force $F$ can be applied to the block $B$ so that both blocks move together .
A stone weighing $1$ kg and sliding on ice with a velocity of $2$ m/s is stopped by friction in $10$ sec. The force of friction (assuming it to be constant) will be ......... $N$