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problem 5: the energy of the system is 8 j. if potential energy is -2 j…

Question

problem 5:
the energy of the system is 8 j. if potential energy is -2 j, find the kinetic energy.

Explanation:

Step1: Recall the formula for total energy

The total energy \(E\) of a system is the sum of kinetic energy \(K\) and potential energy \(U\), i.e., \(E = K+U\).

Step2: Rearrange the formula to solve for kinetic energy

We can rewrite the formula as \(K=E - U\).

Step3: Substitute the given values

Given \(E = 8\space J\) and \(U=- 2\space J\), then \(K=8-(-2)\).
Using the rule \(a-(-b)=a + b\), we have \(K = 8 + 2\).

Answer:

\(10\space J\)