Considering the definition of kinetic energy, the speed of an 8×10⁴ kg airliner with a kinetic energy of 1.1×10⁹ J is 165.83 m/s.
Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following expression:
Ec = ½ mv²
Where Ec is kinetic energy, which is measured in Joules (J), m is mass measured in kilograms (kg), and v is velocity measured in meters over seconds (m/s).
In this case, you know:
Replacing:
1.1×10⁹ J= ½ × 8×10⁴ kg × v²
Solving:
1.1×10⁹ J= 4×10⁴ kg × v²
1.1×10⁹ J÷ 4×10⁴ kg= v²
27500 m²/s²= v²
√27500 m²/s²= v
165.83 m/s= v
In summary, the speed of an 8×10⁴ kg airliner with a kinetic energy of 1.1×10⁹ J is 165.83 m/s.
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- brainly.com/question/13925799?referrer=searchResults
