QuestionJune 24, 2025

(a) Find the momentum of a bullet of mass 1.00 X10-9 slug traveling 700ft/s (b) Find the velocity of a bullet of mass 5.00times 10^-4 slug so that it has the same as the bullet in part (a)

(a) Find the momentum of a bullet of mass 1.00 X10-9 slug traveling 700ft/s (b) Find the velocity of a bullet of mass 5.00times 10^-4 slug so that it has the same as the bullet in part (a)
(a) Find the momentum of a bullet of mass 1.00 X10-9 slug traveling 700ft/s (b) Find the velocity of a bullet of mass 5.00times 10^-4 slug so that it has the same as the bullet in part (a)

Solution
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Answer

(a) 7000 \text{ slug ft/s}; (b) 1.40 \times 10^{7} \text{ ft/s} Explanation 1. Calculate momentum of the bullet in part (a) Momentum p is given by **p = mv**. Here, m = 1.00 \times 10 \text{ slug} and v = 700 \text{ ft/s}. So, p = (1.00 \times 10) \times 700 = 7000 \text{ slug ft/s}. 2. Find velocity for the bullet in part (b) To have the same momentum, use **p = mv**. Set p = 7000 \text{ slug ft/s} and m = 5.00 \times 10^{-4} \text{ slug}. Solve for v: v = \frac{p}{m} = \frac{7000}{5.00 \times 10^{-4}} = 1.40 \times 10^{7} \text{ ft/s}.

Explanation

1. Calculate momentum of the bullet in part (a)<br /> Momentum $p$ is given by **$p = mv$**. Here, $m = 1.00 \times 10 \text{ slug}$ and $v = 700 \text{ ft/s}$. So, $p = (1.00 \times 10) \times 700 = 7000 \text{ slug ft/s}$.<br /><br />2. Find velocity for the bullet in part (b)<br /> To have the same momentum, use **$p = mv$**. Set $p = 7000 \text{ slug ft/s}$ and $m = 5.00 \times 10^{-4} \text{ slug}$. Solve for $v$: $v = \frac{p}{m} = \frac{7000}{5.00 \times 10^{-4}} = 1.40 \times 10^{7} \text{ ft/s}$.
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