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Prove that the total mechanical energy r...

Prove that the total mechanical energy remains constant for a ball mass m dropped from a tower of height h.

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Show that the total mechanical energy remains constant for a particle executing simple harmonic motion.

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Knowledge Check

  • A funnel is made across the earth of radius R, passing through its centre. A ball is dropped from a height h in the funnel. The motion will be periodic with time period.

    A
    `2pisqrt(R/g)+4sqrt(h/g)`
    B
    `2pisqrt(R/g)+4sqrt((2h)/g)`
    C
    `2pisqrt(R/g)+sqrt(h/g)`
    D
    `2pisqrt(R/g)+sqrt((2h)/g)`
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