A 10 kg mass has a KE of 125 J, what is its velocity?

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A 10 kg mass has a KE of 125 J, what is its velocity?

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Answer 1 · 2015-12-09T22:07:24

5 m/s

Explanation:

$E K = \frac{1}{2} m v^{2}$ $EK = 1/2 mv^2$

Given: $E K = 125 J = 125 k g \frac{m^{2}}{s^{2}}, m = 10 k g$ $EK = 125J= 125 kgm^2/s^2, m = 10kg$

So $v^{2} = \frac{2 E K}{m}$ $v^2 = (2EK)/m$ and $v = \sqrt{\frac{2 E K}{m}}$ $v = sqrt ((2EK)/m)$

$v = \sqrt{\frac{2 \cdot 125 \frac{k g m^{2}}{s^{2}}}{10 k g}} = \sqrt{25 \frac{m^{2}}{s^{2}}} = 5 \frac{m}{s}$ $v = sqrt((2*125(kgm^2)/s^2)/(10kg)) = sqrt(25m^2/s^2) = 5 m/s$

Note: I solve the units first; it helps prevent mistakes.

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A 10 kg mass has a KE of 125 J, what is its velocity?

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