A block is projected upwards along a rough inclined plane of angle 45^ . If the retardation of the block is g , the coefficient of kinetic friction between the block and the plane is

Step-by-step solution

When the block moves up the incline, both the component of gravity and kinetic friction act downwards along the plane. The equation of motion is: ma = mg 45^ + _k mg 45^ Given that retardation a = g : g = g ( 1 2 ) + _k g ( 1 2 ) 1 = 1 2 + _k 2 2 = 1 + _k _k = 2 - 1 Answer: 2 -1