A sphere of mass $m$ is set in motion with initial velocity $v_o$ on a surface on which $kx^n$ is the frictional force with $k$ and $n$ as the constants and $x$ as the distance from the point of start. Find the distance in which sphere will stop
A sphere of mass $m$ is set in motion with initial velocity $v_o$ on a surface on which $kx^n$ is the frictional force with $k$ and $n$ as the constants and $x$ as the distance from the point of start. Find the distance in which sphere will stop
- A
${\left[ {\frac{{m{v^2}_0(n\, + \,1)}}{{2k}}} \right]^{1/(n + 1)}}$
- B
${\left[ {\frac{{m{v^2}_0}}{{2k}}} \right]^{1/(n - 1)}}$
- C
${\left[ {\frac{{2m{v^2}_0}}{{k}}} \right]^{1/(n - 1)}}$
- D
${\left[ {\frac{{m{v^2}_0}}{{2k(n - 1)}}} \right]^{1/(n - 1)}}$
Similar Questions
A 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 ...... $m/s^2$
A 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 ...... $m/s^2$
A horizontal force of $40\,N$ is applied to a $5\, kg$ block which is at rest on the horizontal surface. If the coefficient of kinetic friction is $0.4$, then the acceleration of the block is ........ $m/s^2$ $(g = 10 \,m/s^2)$
A horizontal force of $40\,N$ is applied to a $5\, kg$ block which is at rest on the horizontal surface. If the coefficient of kinetic friction is $0.4$, then the acceleration of the block is ........ $m/s^2$ $(g = 10 \,m/s^2)$
A marble block of mass $2\, kg$ lying on ice when given a velocity of $6 \,m/s$ is stopped by friction in $10\,s$. Then the coefficient of friction is
A marble block of mass $2\, kg$ lying on ice when given a velocity of $6 \,m/s$ is stopped by friction in $10\,s$. Then the coefficient of friction is
- [AIEEE 2003]
The ratio of acceleration of blocks $A$ placed on smooth incline with block $B$ placed on rough incline is $2: 1$. The coefficient of kinetic friction between block $B$ and incline is .........
The ratio of acceleration of blocks $A$ placed on smooth incline with block $B$ placed on rough incline is $2: 1$. The coefficient of kinetic friction between block $B$ and incline is .........
A block is placed on a rough horizontal plane. A time dependent horizontal force $F = Kt$ acts on the block. Here $K$ is a positive constant. Acceleration-time graph of the block is
A block is placed on a rough horizontal plane. A time dependent horizontal force $F = Kt$ acts on the block. Here $K$ is a positive constant. Acceleration-time graph of the block is