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<blockquote data-quote="tomBitonti" data-source="post: 8285600" data-attributes="member: 13107"><p>A naive analysis:</p><p></p><p>17 m/h ~ 25 f/s</p><p>times</p><p>1/10s (or 1/20s or 1/100s)</p><p>2.5 f (or 1.25 or f 1/4 f)</p><p></p><p>The block is almost a cube: 10 f by 10 f by 9.9 f.</p><p></p><p>0.1 f are shaved off of the front and back of the cube (and not the sides).</p><p></p><p>A section of the GC with a top area 99 sq ft is displaced by the downward motion of the cube.</p><p></p><p>The displaced GC material is ejected along the sides of the cube through an area of 1 sq ft.</p><p></p><p>Based on the relative cross sections (99 sq ft vs 1 sq ft), the material must be ejected at 99x the speed of the descending cube. That is, initially, 25 f/s * 99, about 2475 f/s, or about 1700 mph, decreasing to zero as the block is slowed. This speed is absurdly high. I expect that losses due to an initial shock wave and due to viscous heating would reduce this speed.</p><p></p><p>How long the block takes to decelerate will be related to energy transfers to the ejected material.</p><p></p><p>TomB</p></blockquote><p></p>
[QUOTE="tomBitonti, post: 8285600, member: 13107"] A naive analysis: 17 m/h ~ 25 f/s times 1/10s (or 1/20s or 1/100s) 2.5 f (or 1.25 or f 1/4 f) The block is almost a cube: 10 f by 10 f by 9.9 f. 0.1 f are shaved off of the front and back of the cube (and not the sides). A section of the GC with a top area 99 sq ft is displaced by the downward motion of the cube. The displaced GC material is ejected along the sides of the cube through an area of 1 sq ft. Based on the relative cross sections (99 sq ft vs 1 sq ft), the material must be ejected at 99x the speed of the descending cube. That is, initially, 25 f/s * 99, about 2475 f/s, or about 1700 mph, decreasing to zero as the block is slowed. This speed is absurdly high. I expect that losses due to an initial shock wave and due to viscous heating would reduce this speed. How long the block takes to decelerate will be related to energy transfers to the ejected material. TomB [/QUOTE]
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