Answer :
Kinetic energy the earth possess due to this orbital motion is 13242.55 × 10³⁰ kg.mph²
What is kinetic energy?
Kinetic energy, the form of energy that a body or particle has due to its motion. work done on an object by applying a net force transfers energy and the object accelerates, thereby gaining kinetic energy. Kinetic energy is a property of a moving object or particle that depends not only on its motion but also on its mass. The type of movement can be translation (or movement along a path from one place to another), rotation about an axis, oscillation, or any combination of movement.
The translational kinetic energy of a body is equal to half the product of the square of its mass m and its velocity v, or 1/2mv²
For the given question:
Kinetic energy: [tex]\frac{1}{2}[/tex] mv²
Given,
Mass of earth: 5.9722×10²⁴ kg
Tangential speed of earth: 67,000 mph
So, Kinetic energy: [tex]\frac{5.9722*10^{24}*67,000^{2} }{2}[/tex]
= 26485.1 × 10³⁰/2
= 13242.55× 10³⁰ kg.(mph)²
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