A $500 \,kg$ horse pulls a cart of mass $1500\, kg $ along a level road with an acceleration of $1\,m{s^{ - 2}}$. If the coefficient of sliding friction is $0.2$, then the force exerted by the horse in forward direction is ......... $N$

It is difficult to move a cycle with brakes on because

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 $g =9.8\, ms ^{-2}$ ].........$m$

When a body is lying on a rough inclined plane and does not move, the force of friction

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 $g =10\; ms ^{-2}$)

If ${\mu _s},\,{\mu _k}$ and ${\mu _r}$ are coefficients of static friction, sliding friction and rolling friction, then