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A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of
  • a)
    200 m
  • b)
    16 m
  • c)
    80 m
  • d)
    40 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A body, thrown upwards with some velocity, reaches the maximum height ...
Explanation:

  • Let the mass of the first body be m and its initial velocity be u.

  • When it is thrown upwards, it reaches a maximum height of 20m.

  • Using the equation of motion, h = u^2/2g, we get: 20 = u^2/2g, where g is the acceleration due to gravity.

  • Solving for u, we get: u = √(2g × 20).

  • Let the mass of the second body be 2m and its initial velocity be 2u.

  • Using the same equation of motion, we get: h = (2u)^2/2g = 4u^2/2g.

  • Substituting the value of u we got earlier, we get: h = 4(2g × 20)/2g = 80m.

  • Therefore, the second body will reach a maximum height of 80m.


Answer: Option C (80m)
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A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer?
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