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State and prove work Energy principle.
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written 3.9 years ago by |
Statement of Work-energy principle:
∑Work done=Change in Kinetic Energy.
Proof:
Hence,Fcosθ=mdvdt
Hence,Fcosθ=mdvdx×dxdt
Thus, Fcosθ=m.dvdx×v
Hence, Fcosθ dx=mv dv
x∫0Fcosθ dx=v∫umv dv
F cosθ[x]x0=m[v22]vu
F cosθ [x−0]=12m[v2−u2]
F cosθ. x=12mv2−12mu2