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A small block of mass `M` move on a frictionless surface of an inclimed from as down is figure . The engle of the inclime suddenly change from `60^(@)` to `30^(@)` at point `B` . The block is initally at rest at `A` Assume the collsion between the block and the incline are totally inclassic `(g = 10m//s^(2)`) The speed of the block at point `C` immediately before is leaves the second incline isA. `sqrt(120) m//s`B. `sqrt(105) m//s`C. `sqrt(90) m//s`D. `sqrt(75) m//s` |
Answer» Correct Answer - B In `delta BCE, tan 30^(@) = (BE)/(CE) rArr (1)/(sqrt(3) = (BE)/(3sqrt(3) rArr BE = 3m ` Appling mechanical energy conservation Machanical energy at `B = ` Machinical energy is `C` `(1)/(2) M(sqrt(45)^(2) + M xx 10 xx 3 = (1)/(2) Mv_(C)^(2)` `45 + 60 = v_(C)^(2) :. v_(2) = sqrt(105)m//s ` |
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