9514 1404 393
Answer:
316.2 m/s
Step-by-step explanation:
What the problem statement doesn't tell you is that the value of m in the formula must have units of kilograms. 17 grams is 0.017 kilograms, so the velocity is ...
[tex]v=\sqrt{\dfrac{2K}{m}}=\sqrt{\dfrac{2(850)\text{ J}}{0.017\text{ kg}}}=\sqrt{100\,000}\text{ m/s}\approx316.2\text{ m/s}[/tex]
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Additional comment
If you simply put the numbers into the formula without regard to correct units, you might be led to believe the velocity is 10 m/s. That would be the speed of a 17 kg object with an energy of 850 J.
