Question

Inserted picture below with the question and details. please help!

Answer 1

9514 1404 393

Answer:

316.2 m/s

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 ...

`v=\sqrt{(2K)/(m)}=\sqrt{\frac{2(850)\text{ J}}{0.017\text{ kg}}}=√(100\,000)\text{ m/s}\approx316.2\text{ m/s}`

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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.