A particle of mass m is released in a sm...

A particle of mass m is released in a smooth hemispherical bowl from shown position A. Find work done by gravity as it reaches the lowest point B.

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Displacement of the particle `d=Rsqrt2`
Weight will remain constant thought the process.

Work done by the weight
`DeltaW mgd cos ""(pi)/(4)`
`=mgRsqrt2(1)/(sqrt2)`
`Deltaw=mgR`

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