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The Grinch is riding down Mount Crumpet with Max, his dog, when he sees Santa landing in the snow. The Grinch is moving down
The Grinch is riding down Mount Crumpet with Max, his dog, when he sees Santa landing in the snow. The Grinch is moving down the mountain with a downward slope of 60 below the horizontal moving at 35 m/s (the mountain has an oppositely directed slope than the roof - that is, if you look at the Santa diagram above, the roof is pitched downward to the right, so the Grinch's mountain is pitched downward to the left as seen in the diagram). With what velocity would the Grinch say that Santa hits the elf (give your answer below as a speed and as a proper polar angle... this is a relative motion problem)? (F)With what speed would the Grinch say that Santa hits the elf? 045.7 064.3 099.4 30.5 26.5 11.9 (G)With what proper polar angle would the Grinch say that Santa hits the elf? O12.3 027.5 103 047.4 O31.6 066.7 (E)Assuming the ramps and ropes are long enough, over what total distance will the blocks have moved along their inclines after 3.9 seconds from start of the motion? (HINT: This is asking for distance, not displacement. ALSO, recognize that at some point over this 3.9 second time interval the blocks will stop and reverse direction.) 033.2 072.2 022.2 O19.3 08.64 046.8 A B In the diagram shown, Block A is 27.5 kg and Block B is 8 kg. The incline on Block A's side makes an angle of 58.50 with the horizontal and the incline on Block B's side makes an angle of 32 with the horizontal. The coefficient of kinetic friction of Block A's incline is 0.13 and that of Block B's incline is 0.09. Assume that Block A is initially (at t=0) sliding up its incline at 6.2 m/s. Also assume the pulley is massless and frictionless. In your submitted work, be sure to show your neatly drawn free body diagrams for each mass (using a straight-edge). Identify each vector force (draw arrows) in the diagram and draw your axes for each diagram and show the component breakdown for each force... points will be lost for sloppy or incomplete drawings. You should have FOUR FBDS... one for each mass as Block A slides UP the incline (while Block B slides DOWN its incline), and one for each mass when Block A slides DOWN its incline (while Block B slides UP its incline). (A)Calculate the magnitude of the acceleration of the blocks as Block A is on the way UP its incline. 012.6 08.98 02.33 5.99 05.21 19.5 (B)Calculate the tension in the rope as Block A is on the way UP its incline. 083.5 125 0272 0176 072.6 32.5 (C) Calculate the magnitude of the acceleration of the blocks as Block A is on the way DOWN its incline. 04.02 15.1 09.74 04.62 06.93 1.80 (D)Calculate the tension in the rope as Block A is on the way DOWN its incline. 0178 084.5 73.5 0275 32.9 127 (E)Assuming the ramps and ropes are long enough, over what total distance will the blocks have moved along their inclines after 3.9 seconds from start of the motion? (HINT: This is asking for distance, not displacement. ALSO, recognize that at some point over this 3.9 second time interval the blocks will stop and reverse direction.) 033.2 072.2 022.2 019.3 08.64 046.8
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