Question

Determine the mechanical energy of this object. A 2 kg pendelum has a speed of 1 m/s at a height of 1/2 meter

Answer 1

Mechanical Energy: 10.81 J given that
`g = 9.81 \; \text{m}\cdot\text{s}^(-2)`.

Step-by-step explanation

The mechanical energy of an object is the sum of its kinetic and potential energy.

Kinetic Energy of this object:

`\text{KE} = (1)/(2) \; m \cdot v^(2) = (1)/(2) * 2 * 1 = 1 \; \text{J}`

Gravitational Potential Energy of this object:

`g = 9.81 \; \text{m}\cdot\text{s}^(-2)`.

`\text{PE} = m \cdot g \cdot h = 2 * 9.81 * (1)/(2) = 9.81 \; \text{J}`.