Friction on Inclines

“A 30 kg box is placed on an inclined plane with an angle of 25° relative to the horizontal. A force of 50 N is applied upwards along the plane. The coefficient of static friction between the box and the plane is 0.4. Will the box slide up the plane, slide down the plane, or remain stationary? Show your calculations and explain your reasoning. A 20 kg block is placed on an inclined plane with an angle of 40° relative to the horizontal. The coefficient of kinetic friction between the block and the plane is 0.5. If the block is given an initial velocity of 5 m/s up the incline, how far will it slide before coming to rest? Show your calculations and explain your reasoning. A 10 kg object is placed on an inclined plane with an adjustable angle. The coefficient of static friction between the object and the plane is 0.3. At what angle will the object begin to slide down the plane? Show your calculations and explain your reasoning.”