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Q. Choose the correct statement.

NTA AbhyasNTA Abhyas 2020Work, Energy and Power

Solution:

Let work done by all forces other than conservative forces $=W_{\text{others}}$
Work done by conservative forces, $W_{c o n}$ is negative of change in potential energy.
$W_{c o n}=-\Delta U$
From work energy theorem,
$W_{\text{by all forces}}=\Delta K$
$W_{\text{others}}+W_{\text{con}}=\Delta K$
$W_{\text{others}}-\Delta U=\Delta K$
$W_{\text{others}}=\Delta U+\Delta K$
Therefore work done by all forces other than conservative forces is equal to change in total mechanical energy.