state and derive law of conservation of energy
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Law of conservation of energy states that the energy of a system is always constant. In other words, we can say that energy can neither be created nor destroyed. ... Mechanical energy (E) is the sum of the potential energy (U) and the kinetic energy (K) of the freely falling body. Therefore, E=K+U=constant.
anandmahali336:
I want derivation
Law of Conservation of Energy Derivation
v^{2 }= 2g(H – X)\\ \\ \Rightarrow \frac{1}{2}mv^{2}=\frac{1}{2}m.2g(H – X)\\ \\ \Rightarrow K.E=\frac{1}{2}m.2g(H – X) \\ \Rightarrow K.E=mg(H – X) K.E=mg(H-X)——– (3) ...
=> P.E = K.E = \frac {E}{2} ——– (4) E2 is the new energy. ...
mgX=\frac{mgH}{2}\\ \\ \Rightarrow X=\frac{H}{2} H2 is referred to the new height.
v^{2 }= 2g(H – X)\\ \\ \Rightarrow \frac{1}{2}mv^{2}=\frac{1}{2}m.2g(H – X)\\ \\ \Rightarrow K.E=\frac{1}{2}m.2g(H – X) \\ \Rightarrow K.E=mg(H – X) K.E=mg(H-X)——– (3) ...
=> P.E = K.E = \frac {E}{2} ——– (4) E2 is the new energy. ...
mgX=\frac{mgH}{2}\\ \\ \Rightarrow X=\frac{H}{2} H2 is referred to the new height.
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Law of conservation of energy states that the energy of a system is always constant. In other words, we can say that energy can neither be created nor destroyed. ... Mechanical energy (E) is the sum of the potential energy (U) and the kinetic energy (K) of the freely falling body. Therefore, E=K+U=constant.
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