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Answer :
Final answer:
The kinetic energy of a 224 kg projectile at 116 m/s is calculated using the formula KE = 1/2 mv², which gives an answer of 1513728 J, not matching any of the provided choices.
Explanation:
The question relates to the kinetic energy (KE) of a projectile, which is a fundamental concept in physics. The kinetic energy of an object can be calculated using the formula
[tex]KE = rac{1}{2}mv^2[/tex]
where m is the mass of the object and v is its velocity. In this scenario, for a projectile with a mass of 224 kg and a velocity of 116 m/s, we can calculate the kinetic energy by plugging these values into the equation:
[tex]KE = rac{1}{2} imes 224 kg imes (116 m/s)^2 = rac{1}{2} imes 224 kg imes 13456 m^2/s^2 = 1513728 J.[/tex]
However, none of the answer choices match this result, possibly indicating a typo in the question or answer choices. Nevertheless, the process described here demonstrates the correct method for calculating kinetic energy using given mass and speed.
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