Question

lamar writes several equations trying to better understand potential energy. what conclusion is best supported by lamars work? the elastic potential energy is the same for any distance from a reference point. the gravitational potential energy equals the work needed to lift the object. the gravitational potential energy is the same for any distance from a reference point. the elastic potential energy equals the work needed to stretch the object.

Explanation:

Step1: Recall work - energy relationship

Work \(W = Fd\), gravitational force \(F_g=mg\), and height \(h = d\).

Step2: Calculate work done in lifting

\(W = Fd=F_g h=mg h\).

Step3: Recall gravitational potential energy formula

Gravitational potential energy \(PE_g=mgh\).

Step4: Compare work and potential energy

Since \(W = mgh\) and \(PE_g=mgh\), the gravitational potential energy equals the work needed to lift the object.

Answer:

The gravitational potential energy equals the work needed to lift the object.