Hello!
An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object?
We have the following data:
KE (Kinetic Energy) = 480 J
m (mass) = ? (in Kg)
v (speed) = 8 m/s
Formula to calculate kinetic energy:
![KE = \dfrac{1}{2} *m*v^2](https://tex.z-dn.net/?f=KE%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%2Am%2Av%5E2)
Solving:
![KE = \dfrac{1}{2} *m*v^2](https://tex.z-dn.net/?f=KE%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%2Am%2Av%5E2)
![480 = \dfrac{1}{2} *m*8^2](https://tex.z-dn.net/?f=480%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%2Am%2A8%5E2)
![480 = \dfrac{1}{2} *m*64](https://tex.z-dn.net/?f=480%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%2Am%2A64)
![480*2 = 64*m](https://tex.z-dn.net/?f=480%2A2%20%3D%2064%2Am)
![64m = 960](https://tex.z-dn.net/?f=64m%20%3D%20960)
![m = \dfrac{960}{64}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7B960%7D%7B64%7D)
![\boxed{\boxed{m = 15\:Kg}}\end{array}}\qquad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bm%20%3D%2015%5C%3AKg%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Ccheckmark)
Answer:
15 kg
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I Hope this helps, greetings ... Dexteright02! =)
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