Question

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?

Answer 1

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

Given the following data:

• Mass = 0.3 kg

• Height = 0.26 meter.

• Velocity = 2.28 m/s.

Scientific data:

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

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

How to calculate total energy.

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.

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