Which has more momentum, a $5 k g$ $5kg$ object moving at $8 \frac{m}{s}$ $8m/s$ or a $12 k g$ $12kg$ object moving at $2 \frac{m}{s}$ $2m/s$ ?

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Which has more momentum, a $5 k g$ $5kg$ object moving at $8 \frac{m}{s}$ $8m/s$ or a $12 k g$ $12kg$ object moving at $2 \frac{m}{s}$ $2m/s$ ?

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Answer 1 · 2015-12-26T21:53:10

This is only asking about one equation. This should take no more than 1 minute.

Momentum is just the quantity of motion for a moving object.

Hence you need mass and velocity.

$\to p = m \to v$ $vecp = mvecv$
where $\to p$ $vecp$ is momentum, $m$ $m$ is mass in $kg$ $"kg"$ , and $\to v$ $vecv$ is velocity in $m/s$ $"m/s"$ .

So...

${\to p}_{1} = m_{1} {\to v}_{1}$ $vecp_1 = m_1vecv_1$
${\to p}_{2} = m_{2} {\to v}_{2}$ $vecp_2 = m_2vecv_2$

${\to p}_{1} ? {\to p}_{2}$ $vecp_1" ? "vecp_2$

$(5 kg) (8 m/s) ? (12 kg) (2 m/s)$ $("5 kg")("8 m/s")" ? "("12 kg")("2 m/s")$

$40 kg \cdot m/s > 24 kg \cdot m/s$ $"40 kg"cdot"m/s" > "24 kg"cdot"m/s"$

Hence

${\to p}_{1} > {\to p}_{2}$ $color(blue)(vecp_1 > vecp_2)$

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Which has more momentum, a $5 k g$ $5kg$ object moving at $8 \frac{m}{s}$ $8m/s$ or a $12 k g$ $12kg$ object moving at $2 \frac{m}{s}$ $2m/s$ ?

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Which has more momentum, a 5kg5kg5kg object moving at 8m/s8ms8m/s or a 12kg12kg12kg object moving at 2m/s2ms2m/s?

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Which has more momentum, a $5 k g$ $5kg$ object moving at $8 \frac{m}{s}$ $8m/s$ or a $12 k g$ $12kg$ object moving at $2 \frac{m}{s}$ $2m/s$ ?