Question

the total energy in a system is 675 j. the kinetic energy changes from 296 j to 432 j. which statement best describes the potential energy of this system? it changes from 296 j to 432 j. it changes from 379 j to 243 j. it changes from 432 j to 296 j. it changes from 243 j to 379 j.

Explanation:

Step1: Calculate initial potential energy

Total energy \(E = KE_1+PE_1\). Given \(E = 675\space J\) and \(KE_1=296\space J\), then \(PE_1=E - KE_1\).
\(PE_1=675 - 296=379\space J\)

Step2: Calculate final potential energy

Total energy \(E = KE_2+PE_2\). Given \(E = 675\space J\) and \(KE_2 = 432\space J\), then \(PE_2=E - KE_2\).
\(PE_2=675 - 432=243\space J\)

Answer:

It changes from \(379\space J\) to \(243\space J\).