Question 1 Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. Motion Detector 1 - Motion - Detector 2 Students design an experiment using blocks of adjustable mass to investigate friction using the setup shown. Block 1 of initial mass 0.44 kg is placed on a rough horizontal surface and connected by a string to block 2 of initial mass 0.20 kg. The string extends over a pulley that has negligible mass and friction. (a) Calculate the minimum value of the coefcient of static friction #3 that would keep the two- block system at rest. 0 /TOOOO Word Limit Bookmark Forces 1 ( Submit ) A block of mass m is pulled along a rough horizontal surface by a constant applied force of magnitude F1 that acts at an angle Bto the horizontal, as indicated above. The acceleration of the block is 31 . Express all algebraic answers in terms of m, F1 ,6, a1 , and fundamental constants. E] a. On the gure below, draw and label a free-body diagram showing all the forces on the block. E b. Derive an expression for the normal force exerted by the surface on the block. c. Derive an expression for the coefficient of kinetic friction p between the block and the surface. d. On the axes below, sketch graphs of the speed vand displacement xof the block as functions of time rif the block started from rest at X = O and t: 0. 0 t 0 e. If the applied force is large enough, the block will lose contact with the surface. Derive an expression for the magnitude of the greatest acceleration amax that the block can have and still maintain contact with the ground. Forces 1 @@@:: 95.... Question 5 Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. Bookmark Block 1 a Students set up a system of two blocks and an inclined plane, as shown in the gure. Block 1 of mass M1 is on a surface that is inclined at an angle 6 to the horizontal. The friction between block 1 and the surface is negligible. A string is attached to block 1, extends over an ideal pulley, and is then attached to block 2 of mass M2. (a) In an initial setup, M1 = 3M and M2 = M. Calculate the value of 6that would allow the system to remain in equilibrium. 0 /10000 Word Limit The original inclined plane is now replaced with one that has a rough surface. The coefcients of static and kinetic friction between block 1 and the surface are Jug and Mg, respectively. Block 1 is again chosen so that M1 = M. o > (b) Derive an expression for the maximum value of M2 that would allow this system to rein...\" equilibrium. Express your answer in terms of MI \"E I \"E I and physical constants, as appropriate