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MHT CET20243 May 2024Morning ShiftPhysicsMotion in Two DimensionsActual

A ball 'A' is projected vertically upwards with certain initial speed. Another ball ' B ' of same mass is projected at an angle of 30^ with vertical with the same initial speed. At the highest point, the ratio of potential energy of ball A to that of ball B will be ( 90^ =1, 60^ = 30^ = 3 2 , 30^ = 60^ = 1 2 )

Options

  1. A4: 3
  2. B3: 4
  3. C4: 1
  4. D3: 2

Correct answer

A. 4: 3

Step-by-step solution

Maximum height attained by ball A , h ₁= u ^2 2 ~g Maximum height attained by ball B, aligned h ₂ & = u ^2 ^2 (60^ ) 2 ~g (: =90^ -30^ =60^ ) & = 3 u ^2 8 ~g ~h ₁ ~h ₂ & = u ^2 2 ~g 8 ~g 3 u ^2 = 8 6 = 4 3 aligned

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