The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. This theorem is an integral form of Newton’s second law, which relates the force acting on an object to its acceleration. By integrating the force over a distance, we obtain the work done, which is equal to the change in kinetic energy. Therefore, the work-energy theorem is derived from Newton's second law.
The correct option is (C) : Newton's second law
For the reaction:
\[ 2A + B \rightarrow 2C + D \]
The following kinetic data were obtained for three different experiments performed at the same temperature:
\[ \begin{array}{|c|c|c|c|} \hline \text{Experiment} & [A]_0 \, (\text{M}) & [B]_0 \, (\text{M}) & \text{Initial rate} \, (\text{M/s}) \\ \hline I & 0.10 & 0.10 & 0.10 \\ II & 0.20 & 0.10 & 0.40 \\ III & 0.20 & 0.20 & 0.40 \\ \hline \end{array} \]
The total order and order in [B] for the reaction are respectively: