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The device in figure is an acceleraometer which is fitted to a car. It consist of a spherical ball, mass 0.08 kg, attached to a pointer which can move horizontally against a fixed scale that gives the acceleration of the car, O indicates zero acceleration. On each side of the ball are attached identical springs, `S_(1)` and `S_(2)`. that are fixed at their ends. The device is enclosed in a rigid transparent housing. The car accelerates towards A. If the car starts from rest at time t=0 and travels along a straight road. The accelerometer readings are recorded in table. `{:("Time//s","Acceleration//ms^(2)"),(0.00-3.00,11.00),(3.00-4.50,7.00),(4.50-7.00,0.00):}` How far does the car travel in the first 7.00s?A. 57.38mB. 215.62mC. 166.12mD. 106.88m |
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Answer» `S_(1)=0xx3+(1)/(2)11xx3^(2)=(99)/(2)=49.5m` `V_(1)=11xx3=33m//s` `S^(2)=33xx1.5+(1)/(2)7xx(1.5)^(2)=49.5+7.875` =57.375 `V_(2)=33+7xx1.5=43.5m//s` `S_(3)=43.5xx2.5=108.75` `S_(T)=49.5+57.38+108.75=215.62m` |
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