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A balloon is tied to a block. The mass of the block is `2kg`. The tension of the string between the balloon and the block is `30N`. Due to the wind, the string has an angle `0` relative to the vertical direction. `costheta=4//5`and `sintheta=3//5`. Assume the acceleration due to gravity is `g = 10 m//s^(2)`. Also assume the block is small so the force on the block from the wind can be ignored. Then the x-component and the y-component of the acceleration a of the block. A. `9m//s^(2),2m//s^(2)`B. `9m//s^(2),12m//s^(2)`C. `18m//s^(2),2m//s^(2)`D. `18m//s^(2),12m//s^(2)` |
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Answer» Correct Answer - A The magnitude of the force (from the string) is `T=30N`. The x-component `=T cos theta=30xx4//5=18N`. The y-component `=T costheta=30xx4//5=24N`. The total force on the block is: the x-component`=18N`. the y-component `=24-mg=24-20=4N`. The x-component of the accelertion `=18N//2kg=9m//s^(2)` The y-component of the acceleration `=4N//2kg=2m//s^(2)` |
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