A block is pushed up a rough incline that makes an angle of with the horizontal
PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion
Problem
A 2.0kg block is pushed up a rough incline that makes an angle of 25∘ with the horizontal. The pushing force of 20N acts parallel to the surface and is directed up the incline. The coefficient of kinetic friction between the block and the surface is μk=0.30. At the instant shown, the block is moving up the incline.
Answer the following questions. Use g=9.8ms−2.
(a) Sketch and label a free-body diagram for the block.
(b) Calculate the components of the block’s weight that are (i) parallel and (ii) perpendicular to the incline.
(c) Determine the magnitude and direction (up-slope or down-slope) of the net force acting on the block at that instant.
(d) Calculate the block’s acceleration, including its direction along the incline.