Question

what is the kinetic energy of an object that has 634 j of total mechanical energy and 42.3 j of potential gravitational energy?
report your answer to 1 decimal place. your permitted error is ±0.1 j. if your answer is negative, please make sure to include the negative sign.
answer

Explanation:

Step1: Recall the formula for total mechanical energy

The total mechanical energy \(E_{total}\) is the sum of kinetic energy \(K\) and potential energy \(U\), i.e., \(E_{total}=K + U\).

Step2: Rearrange the formula to solve for kinetic energy

We can rewrite the formula as \(K=E_{total}-U\).

Step3: Substitute the given values

Given \(E_{total} = 634\space J\) and \(U = 42.3\space J\), then \(K=634 - 42.3\).

Step4: Calculate the value

\(K = 591.7\space J\)

Answer:

\(591.7\)