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Calculate the kinetic energy of a solid sphere of mass `2kg` rolling down an inclined plane with a velocity of `2m//s` about an axis passing through its diameter.

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To calculate the kinetic energy of a solid sphere rolling down an inclined plane, we need to consider both its translational and rotational kinetic energy. Here’s a step-by-step solution: ### Step 1: Understand the Components of Kinetic Energy The total kinetic energy (K.E.) of the sphere can be expressed as the sum of its translational kinetic energy (T.K.E.) and rotational kinetic energy (R.K.E.). \[ \text{Total K.E.} = \text{T.K.E.} + \text{R.K.E.} \] ...
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