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Task 10. A skier, whose mass including equipment is 60 kg, slides down a slope that forms 25 degrees with the horizon. A slope and a skier in Antelo's drawing (a) What is the acceleration if the force of friction is neglected? uz tits! bj What is the acceleration if the frictional force is 45 N? [a) 4.1m/s : (b) 3.4 m/s"] Task 11. A load with a mass of 15 kg slides down an inclined surface that makes an angle a of 30" with the horizon. The coefficient of friction between the load and the surface is 0.05. Calculate the force of friction, the acceleration of the block and the displacement made in 3 seconds! Task 12. A block slides smoothly along an inclined surface that makes an angle with the horizon. The angle of inclination decreases. Question Increases Decreases Doesn't change How does the coefficient of friction of the slide change between flat and lumpy? How b does the support reaction force change? C How does gravity change? d How does the force of sliding friction change? Task 13. A tightrope walker with a mass of 60 kg is in the middle of the rope. Calculate with how much force F's tick the stretched rope, if the mass of the rope is so small that it can be neglected. [3450N] Task 14. The disk can freely rotate around point O. Make the necessary calculations and determine in which direction the disk will rotate if F1= 10 N, F2=15 N, F3-25 N! AP scaleTask 17. At what maximum speed can a car travel without skidding on a horizontal bend of a road with a radius of 20 m if the coefficient of friction of the car's tires to the road surface is 0.67 Task 18. The car is driving on a hilly road. The bend radius of the road hill is 90 m. At its highest point, the speed of the car is 15 m/s. The mass of the car is 2 tons. Draw the forces acting on the car! Calculations: (a) the surface reaction force acting on the car at the highest point of the hill; b) at what speed must the car move in order for the car to reach the highest point of the hill passengers would be weightless