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Write detailed answer 1) derive the formula for kinetic energy of an object od mass m, moving with velocity v |
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Answer» Kinetic Energy: The energy possessed by an OBJECT due to its motion is called as kinetic Energy. Derivation: Let us consider an object of mass " m " which is at rest on smooth horizontal plane. Let a Force , F acts on the object and let the object from rest moves from point A to point B and COVERS a displacement S. The WORK Done by Force on the object is : Workdone = Force x displacement. W= FXS ____(1). From third equation of motion; V^2 -U^2 =2aS S= V^2 -U^2/2a ______(2) By Newtons SECOND law of motion: F= ma From equation 1 and 2 W= m*a* (V^2- U^2)/2a As we have ASSUMED object is at rest, u=0 W=m*V^2/2 The WORK Done appears as kinetic energy of the body. Therefore, K.E = (1/2 )mv^2 |
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