| The potential energy function U(x) is associated with a conservative force F and described by the graph given here. If a particle being acted upon by this force has a kinetic energy of 1.0 J at position\[{{x}_{0}},\] what is the particle's kinetic energy at position \[{{x}_{4}}?\] |
 |
A) 6.0 J
B) 7.0 J
C) 2.0 J
D) \[-\,2.0\text{ }J\]
Correct Answer: B
Solution :
| This is a conservation of energy problem, and the total mechanical energy of the system remains constant: |
| \[{{U}_{i}}+{{K}_{i}}={{U}_{f}}+{{K}_{f}}\] |
| \[4.0J+1.0J=-2.0J+{{K}_{f}}\] |
| \[{{K}_{f}}=7.0\,J\] |
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