(c) A 30-tonne concrete mixer truck travelling down the 10∘ inclined road at a speed of 8 m/s, as shown in Figure Q1.1. The coefficient of kinetic friction between the wheels and the road is μk = 0.5. Figure Q1.1 (i) Draw the free-body diagram of all forces exerted on the truck, (ii) Determine how far x the tyres skid on the road if the driver jams on the brakes, causing his wheels to lock. Use the principle of work and energy in solving for x.
![The 20 KN weight car shown is moving at 12 m/s on a 15∘ inclined road. The coefficient of kinetic friction between the wheels and the road is μk = 0.3 If the driver applies the brakes, causing the wheels to lock, how far does the driver slide before stopping? a) Find it using Conservation of Energy [30 P] b) Find it using Newton's laws of motion [30 P]](https://www.doubtrix.com/uploads/editor/7181980215wCMlHlDuJZ.jpg)
![A 120 kg box is pulled by the forces shown in FIGURE Q1. The kinetic friction, μk between the box and the surface is 0.3 and it moves from a resting position. FIGURE Q1 a. Construct the free-body diagram and kinetic diagram for the box. [4 marks] b. Determine the required distance for the box to attain a speed of 9 m/s, using the principle of work and energy. [8 marks] c. Given that the horizontal surface is smooth, determine the required distance for the box to attain a speed of 14 m/s using the principle of work and energy, and explain the changes in part (b). [8 marks]](https://www.doubtrix.com/uploads/editor/0409306455wPReKGyudy.jpg)
