Mechanical Energy: 10.81 J given that [tex]g = 9.81 \; \text{m}\cdot\text{s}^{-2}[/tex].
Explanation
The mechanical energy of an object is the sum of its kinetic and potential energy.
Kinetic Energy of this object:
[tex]\text{KE} = \dfrac{1}{2} \; m \cdot v^{2} = \dfrac{1}{2} \times 2 \times 1 = 1 \; \text{J}[/tex]
Gravitational Potential Energy of this object:
[tex]g = 9.81 \; \text{m}\cdot\text{s}^{-2}[/tex].
[tex]\text{PE} = m \cdot g \cdot h = 2 \times 9.81 \times \dfrac{1}{2} = 9.81 \; \text{J}[/tex].
