Question

how is the work energy theorem represented as an equation? (1 point)

w = \delta e

\delta w = e

w = e

\delta w = \delta e

Explanation:

The work - energy theorem states that the work done on an object is equal to the change in its mechanical energy. Work is denoted by \(W\) and the change in energy is \(\Delta E\). So the equation should be \(W=\Delta E\). The other options are incorrect as:

• \(\Delta W = E\) is wrong because work change (\(\Delta W\)) is not equal to energy (\(E\)) in the context of the work - energy theorem.
• \(W = E\) is incorrect as it should be the change in energy (\(\Delta E\)) not just \(E\).
• \(\Delta W=\Delta E\) is wrong because it is the work (\(W\)) (not the change in work \(\Delta W\)) that is related to the change in energy (\(\Delta E\)) according to the theorem.

Answer:

\(W = \Delta E\) (the first option)