Questions in Laws of Motion

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A cylinder of 10 kg is sliding in a plane with an initial velocity of 10 m/s. If the coefficient of friction between the surface and cylinder is 0.5 then before stopping, it will cover. $(g = 10\,\,m/{s^2})$
When a body is lying on a rough inclined plane and does not move, the force of friction
When a body is placed on a rough plane inclined at an angle $ heta$ to the horizontal, its acceleration is
A block is at rest on an inclined plane making an angle $\alpha$ with the horizontal. As the angle $\alpha$ of the incline is increased, the block starts slipping when the angle of inclination becomes $\theta$. The coefficient of static friction between the block and the surface of the inclined plane is or A body starts sliding down at an angle $\theta$ to horizontal. Then coefficient of friction is equal to
A given object takes n times as much time to slide down a 45° rough incline as it takes to slide down a perfectly smooth 45° incline. The coefficient of kinetic friction between the object and the incline is given by
The force required just to move a body up an inclined plane is double the force required just to prevent the body sliding down. If the coefficient of friction is 0.25, the angle of inclination of the plane is
Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is
The coefficient of friction between a body and the surface of an inclined plane at 45° is 0.5. If $g = 9.8\,m/{s^2}$, the acceleration of the body downwards in $m/{s^2}$ is
A box is placed on an inclined plane and has to be pushed down. The angle of inclination is
A force of 750 N is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle 30° with the horizontal. If the coefficients of static friction and kinetic friction between the block and the plane are 0.4 and 0.3 respectively, then the frictional force acting on the block is

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