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A particle m is projected at an angle wi...

A particle m is projected at an angle with the horizontal with kinetic energy E. The potential energy at the top of its trajector is E/2. The range of the particle is `(xE)/(mg)`, then find the value of x is

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Knowledge Check

  • A particle is projected at 60^(@) to the horizontal with a kinetic energy K. The kinetic energy at the highest point is

    A
    K
    B
    Zero
    C
    K/4
    D
    K/2
  • A particle is projected at 60^(@) to the horizontal with a kinetic energy K. The kinetic energy at the highest point is:

    A
    K
    B
    zero
    C
    K/4
    D
    K/2
  • A body is projected at an angle 30^(@) with a kinetic energy of 80J. The ratio of its potential to kinetic energies at half the maximum height is

    A
    `1: 1`
    B
    `1: 3`
    C
    `1: 5`
    D
    `1: 7`
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