On a rough horizontal surface, a body of mass $2 \,kg$ is given a velocity of $10 \,m/s$. If the coefficient of friction is $0.2$ and $g = 10\, m/{s^2}$, the body will stop after covering a distance of ........ $m$
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A body is sliding down an inclined plane (angle of inclination $45^o$). If the coefficient of friction is $0.5$ and $g = 9.8\, m/s^2$. then the acceleration of the body downwards in $m/s^2$ is
A $2 \mathrm{~kg}$ brick begins to slide over a surface which is inclined at an angle of $45^{\circ}$ with respect to horizontal axis. The co-efficient of static friction between their surfaces is:
A lift is moving downwards with an acceleration equal to acceleration due to gravity. $A$ body of mass $M$ kept on the floor of the lift is pulled horizontally. If the coefficient of friction is $\mu $, if the lift is moving upwards with a uniform velocity, then the frictional resistance offered by the body is
As shown in the figure a block of mass $10\,kg$ lying on a horizontal surface is pulled by a force $F$ acting at an angle $30^{\circ}$, with horizontal. For $\mu_{ s }=0.25$, the block will just start to move for the value of $F..........\,N$ : $\left[\right.$ Given $\left.g =10\,ms ^{-2}\right]$
A $1\,kg$ block is being pushed against a wall by a force $F = 75\,N$ as shown in the Figure. The coefficient of friction is $0.25.$ The magnitude of acceleration of the block is ........ $m/s^2$
A stone of mass $0.25\; kg$ tied to the end of a string is whirled round in a circle of radius $1.5 \;m$ with a speed of $40\; rev./min$ in a hortzontal plane. What is the tenston in the string? What is the maximum speed in $m/s $ with which the stone can be whirled around if the string can withstand a maximum tension of $200\; N ?$
A block of mass $5 \mathrm{~kg}$ is placed on a rough inclined surface as shown in the figure.If $\vec{F}_1$ is the force required to just move the block up the inclined plane and $\vec{F}_2$ is the force required to just prevent the block from sliding down, then the value of $\left|\vec{F}_1\right|-\left|\vec{F}_2\right|$ is : [Use $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
A hollow vertical cylinder of radius $R$ is rotated with angular velocity $\omega$ about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass $M$ suspended on the inside of the cylinder as it rotates?
A bullet of mass $20\, g$ travelling horizontally with a speed of $500 \,m/s$ passes through a wooden block of mass $10.0 \,kg$ initially at rest on a surface. The bullet emerges with a speed of $100\, m/s$ and the block slides $20 \,cm$ on the surface before coming to rest, the coefficient of friction between the block and the surface. $(g = 10\, m/s^2)$