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Which of the following describes the relationship between the volume and pressure of a fixed mass of a gas at constant temperature? A. Volume is equal to pressure B. Volume is inversely proportional to pressure C. Volume is independent of pressure D. Volume is directly proportional to pressure

Physics

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Hapa kuna majibu ya maswali yako:

  1. Swali hili linahusu uhusiano kati ya kiasi (volume) na shinikizo (pressure) la gesi yenye masi isiyobadilika na halijoto isiyobadilika. Hii inajulikana kama Sheria ya Boyle. Sheria ya Boyle inasema kwamba kwa masi maalum ya gesi kwenye halijoto isiyobadilika, kiasi cha gesi kinapingana moja kwa moja na shinikizo lake. Hii inamaanisha kuwa kadiri shinikizo linavyoongezeka, kiasi hupungua, na kinyume chake.

    Kwa hiyo, jibu sahihi ni:
    B. Kiasi kinapingana moja kwa moja na shinikizo.

  2. Ili kukokotoa mchapuko (acceleration) wa kitu, tunatumia Sheria ya Pili ya Newton ya Mwendo, ambayo inasema F=maF = ma, ambapo FF ni nguvu, mm ni masi, na aa ni mchapuko.

  1. Andika formula.

    $$
    F = ma
    $$
    
  2. Badilisha thamani ulizopewa kwenye formula.

    Tunapewa nguvu $F = 20\, \text{N}$ na masi $m = 5\, \text{kg}$. Tunataka kupata mchapuko $a$.
    $$
    20\, \text{N} = (5\, \text{kg}) \times a
    $$
    
  3. Tatua kwa aa.

    $$
    a = \frac{20\, \text{N}}{5\, \text{kg}}
    $$
    $$
    a = 4\, \text{m/s}^2
    $$
    
    Kwa hiyo, jibu sahihi ni:  
    D. $\boxed{\text{4 m/s}^2}$
    
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