A pendulum consists of a 0.3 kg mass at the end of a string. The pendulum is raised to a height of 0.26 m and released. When the

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A pendulum consists of a 0.3 kg mass at the end of a string. The pendulum is raised to a height of 0.26 m and released. When the

pendulum reaches its lowest point, it has a velocity of 2.28 m/s. What is the total energy of the Pendulum-Earth system?

Physics

1 answer:

Debora [2.8K] · Answer 1 · 2023-06-14T07:23:55+03:00

The total energy of the Pendulum-Earth system is equal to 1.54416 Joules.

<u>Given the following data:</u>

Mass = 0.3 kg

Height = 0.26 meter.

Velocity = 2.28 m/s.

<u>Scientific data:</u>

Acceleration due to gravity on Earth = 9.8 $m/s^2$

To calculate the total energy of the Pendulum-Earth system:

<h3>How to calculate total energy.</h3>

The total energy possessed by this Pendulum-Earth system is equal to the sum of both the potential energy and kinetic energy at its lowest point.

Mathematically, the total energy is given by this formula:

$E = mgh + \frac{1}{2} mv^2$

Substituting the given parameters into the formula, we have;

$E = 0.3 \times 9.8 \times 0.26 + \frac{1}{2}\times 0.3 \times 2.28^2\\\\E=0.7644+0.77976$

E = 1.54416 Joules.

Read more on kinetic energy here: brainly.com/question/17081653