2 / KV FN sing 4. A 15.0 kg block is resting on a rough incline as shown in the figure. The incline is 350 above the horizontal. The coefficient of static friction between the surface and the block is 0.80. The coefficient of kinetic friction between mg = w the surface and the block is 0.50. 350 m = 15. 0kg MS = 0. 80 sin 350 = 0 = 350 3 MK = 0.50 a. Sketch a free body diagram for the block that shows what forces are acting on it and indicate a useful coordinate system. ng sinx b. Write down Newton's second law to relate the forces and possible acceleration in the x and y directions in your chosen coordinate system. For every force there is anxepposite force 6 sin 35 (TFN, mg v) (FFT , Fgv) c. What is the gravitational force on the block? mg = w ( 15) (9.8)= 147N d. What is the Normal force of the surface on the block? FN = mgsinx - mgi- 1.5 147 sin ( 35) = 8483 2 N e. What is the magnitude of the friction force keeping the block from sliding down the surface? ff = MSFN V Ff = (0 . 80 ) ( 8XX 32 ) = 67. 45 N f. If you give the block a push, so it has an initial velocity of 0.10 m/s down the incline what will be the acceleration of the block? Vo = 0. 10 m/s a= ? DX = X - Z