Ablock slides down an incline that makes an angle of 30? with the horizontal direction. the coefficient of kinetic friction between the incline and the block is µk = 0.3
i) determine the acceleration of the block.
ii) the block starts at rest from a height of 8m above the ground. what is the speed of the block when it reaches the bottom of the incline.

Acceleration = 2.35 m/

Speed = 8.67 m/s

Explanation:

The coefficient of friction , u =0.3

The angle of incline = 30°

The two forces acting on block are weight and friction.

weight along the incline = mg cos60° = = 0.5 mg

Friction along incline = umg cos30° = mg

Friction along incline  = 0.26 mg

Net force acting on the weight = (0.5 - 0.26) mg = 0.24 mg

Acceleration = = 0.24 g = 2.35 m/

The height of incline = 8 m

Length of the inclined edge = 16 m

v= 8.67 m/s

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