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Show that when a body is dropped from a certain height, the sum of its kinetic energy at any instant during its fall is constant |
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Answer» VOLUME of each cube = 64 cm3 ∴ Total volume of the two cubes = 2 × 64 cm3 = 128 cm3 Let the edge of each cube = x ∴ x3 = 64 = 43 ∴ x = 4 CM Now, LENGTH of the resulting cuboid l = 2x cm BREADTH of the resulting cuboid B = x cm Height of the resulting cuboid h = x cm ∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)] = 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2 = 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2. |
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