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What is the mass of an railgun projectile with a kinetic energy of 18,387,360 J and velocity of 3,390 m/s?

A. 11 271. 04 J

B. 171. 04 J

What is the mass of an railgun projectile with a kinetic energy of 18,387,360 J and velocity of 3,390 m/s?

1.5 kg

1.5 g


Sagot :

[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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