[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The kinetic energy of a moving object is given by
[tex]\boxed{KE = \frac{1}{2}mv^{2}}[/tex]
where:
KE = kinetic energy
m = mass
v = speed
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for m
[tex]KE = \dfrac{1}{2}mv^{2}[/tex]
[tex]2KE = mv^{2}[/tex]
[tex]m = \dfrac{2KE}{v^{2}}[/tex]
[tex]m = \dfrac{2(\text{18,387,360 J})}{(\text{3,390 m/s})^{2}}[/tex]
[tex]\boxed{m = \text{3.2 kg}}[/tex]
Therefore, the mass of the railgun projectile is 3.2 kg.
[tex]\\[/tex]
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