Question

What’s the velocity of the balloon? Use .
A hot-air balloon with a mass of 400 kilograms moves across the sky with 3,200 joules of kinetic energy. The velocity of the balloon is
meters/second.

Answer 1

$</p><p></p><p> </p><p></p><p>KE = \begin{gathered} \frac{1}{2} m {v}^{2} \\ \end{gathered} </p><p>2</p><p>1</p><p> </p><p> mv </p><p>2</p><p> </p><p> </p><p> </p><p></p><p>\begin{gathered}3200 = \frac{1}{2} \times 400 \times {v}^{2} \\ 3200 = 200 \times {v}^{2} \\ \frac{3200}{200} = {v}^{2} \\ \\ 16 = {v}^{2} \\ v = \sqrt{16} = 4 \: m {s}^{ - 1} \end{gathered} </p><p>3200= </p><p>2</p><p>1</p><p> </p><p> ×400×v </p><p>2</p><p> </p><p>3200=200×v </p><p>2</p><p> </p><p>200</p><p>3200</p><p> </p><p> =v </p><p>2</p><p> </p><p>16=v </p><p>2</p><p> </p><p>v= </p><p>16</p><p> </p><p> =4ms </p><p>−1</p><p> </p><p> </p><p> </p><p></p><p> \\ Velocity \: of \: balloon \: will \: be 4 m/s.$

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