Answer:
R = 4.24 x 10⁻⁴ m
Explanation:
given,
mass of the person = 60.3-kg
mass of the bullet = 10 gram = 0.01 Kg
velocity of bullet = 389 m/s
angle made with the horizontal = 45°
using conservation of momentum.
M v + m u = ( M + m ) V
60.3 x 0 + 0.01 x 389 = (60.3 + 0.01) V
![V = \dfrac{3.89}{60.31}](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B3.89%7D%7B60.31%7D)
![V = \dfrac{3.89}{60.31}](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B3.89%7D%7B60.31%7D)
V = 0.0645 m/s
for calculation of range
![R = \dfrac{V^2sin 2 \theta}{g}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7BV%5E2sin%202%20%5Ctheta%7D%7Bg%7D)
![R = \dfrac{0.0645^2sin 2 (45^0)}{9.8}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7B0.0645%5E2sin%202%20%2845%5E0%29%7D%7B9.8%7D)
R = 4.24 x 10⁻⁴ m
the distance actor fall is R = 4.24 x 10⁻⁴ m
Power is the work done per unit time. Therefore,
![\begin{gathered} p=\frac{w}{t} \\ \text{where} \\ w=\text{work done} \\ t=\text{time} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20p%3D%5Cfrac%7Bw%7D%7Bt%7D%20%5C%5C%20%5Ctext%7Bwhere%7D%20%5C%5C%20w%3D%5Ctext%7Bwork%20done%7D%20%5C%5C%20t%3D%5Ctext%7Btime%7D%20%5Cend%7Bgathered%7D)
Therefore,
<span>A+B-C
</span><span>A = 6x - 2y
B = -4x - 8y
C = -3x + 9y
(</span>6x - 2y) + (-4x - 8y) - (-3x + 9y)
(6x - 2y) + (-4x - 8y) + (3x - 9y)
2x -10y + (3x - 9y)
5x - 19y
Well I can't see the following physical properties you talked about in the question.
Mass per unit volume ratio is called density.