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Given the expression:
[tex]\text{ k = }\frac{1}{2}mv^2[/tex]At v = 30 and k = 4,500 , let's determine m.
[tex]\text{ k = }\frac{1}{2}mv^2[/tex][tex]\frac{2k}{v^2}\text{ = m }\rightarrow\text{ m = }\frac{2k}{v^2}[/tex]We get,
[tex]\text{ m = }\frac{2k}{v^2}[/tex][tex]\text{ = }\frac{2(4,500)}{(30)^2}[/tex][tex]\text{ = }\frac{9,000}{900}[/tex][tex]\text{ m = 10}[/tex]Therefore, m = 10.