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The boxes of masses 2kg and 8kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8kg to strike the ground starting from rest. (use g = 10 m/s2)

 

Option 1 -

0.25s

Option 2 -

0.4s

Option 3 -

0.34s

Option 4 -

0.2s

0 43 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    For 8 kg block,

    8g – 2T = 8a       . (i)

    For 2kg block,

    T – 2g = 2 × 2a   . (ii)

    Solving equations (i) and (ii),

    a = g 4 = 2 . 5 m / s 2              

    t = 2 s a = 2 × 0 . 2 2 . 5 = 0 . 4 s              

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