Do not forget that mass = <span>volume x density
</span>Mass of 1 cm^3 = Density[/tex]
![mass of 2 cm^3 = 19.3 g + 19.3 g = 2*19.3 g](https://tex.z-dn.net/?f=mass%20of%202%20cm%5E3%20%3D%2019.3%20g%20%2B%2019.3%20g%20%3D%202%2A19.3%20g)
Then eventually we can find <span>mass of 5 cm^3 : =
</span>
![19.3 g + 19.3 g+19.3g+19.3g+19.3g= 5*19.3 g](https://tex.z-dn.net/?f=19.3%20g%20%2B%2019.3%20g%2B19.3g%2B19.3g%2B19.3g%3D%205%2A19.3%20g)
So the answer is D
<span>And that's it. I'm sure it will help.</span>
The distance traveled by the wood after the bullet emerges is 0.16 m.
The given parameters;
- <em>mass of the bullet, m = 23 g = 0.023 g</em>
- <em>speed of the bullet, u = 230 m/s</em>
- <em>mass of the wood, m = 2 kg</em>
- <em>final speed of the bullet, v = 170 m/s</em>
- <em>coefficient of friction, μ = 0.15</em>
The final velocity of the wood after the bullet hits is calculated as follows;
![m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\0.023(230) + 2(0) = 0.023(170) + 2v_2\\\\5.29 = 3.91 + 2v_2\\\\2v_2 = 1.38\\\\v_2 = \frac{1.38}{2} = 0.69 \ m/s](https://tex.z-dn.net/?f=m_1u_1%20%2B%20m_2%20u_2%20%3D%20m_1v_1%20%2B%20m_2v_2%5C%5C%5C%5C0.023%28230%29%20%2B%202%280%29%20%3D%200.023%28170%29%20%2B%202v_2%5C%5C%5C%5C5.29%20%3D%203.91%20%2B%202v_2%5C%5C%5C%5C2v_2%20%3D%201.38%5C%5C%5C%5Cv_2%20%3D%20%5Cfrac%7B1.38%7D%7B2%7D%20%3D%200.69%20%5C%20m%2Fs)
The acceleration of the wood is calculated as follows;
![\mu = \frac{a}{g} \\\\a = \mu g\\\\a = 0.15 \times 9.8\\\\a = 1.47 \ m/s^2](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7Ba%7D%7Bg%7D%20%5C%5C%5C%5Ca%20%3D%20%5Cmu%20g%5C%5C%5C%5Ca%20%3D%200.15%20%5Ctimes%209.8%5C%5C%5C%5Ca%20%3D%201.47%20%5C%20m%2Fs%5E2)
The distance traveled by the wood after the bullet emerges is calculated as follows;
![v^2 = v_0^2 + 2as\\\\v^2 = 0 + 2as\\\\v^2 = 2as\\\\s = \frac{v^2}{2a} \\\\s = \frac{(0.69)^2}{2(1.47)} \\\\s = 0.16 \ m](https://tex.z-dn.net/?f=v%5E2%20%3D%20v_0%5E2%20%2B%202as%5C%5C%5C%5Cv%5E2%20%3D%200%20%2B%202as%5C%5C%5C%5Cv%5E2%20%3D%202as%5C%5C%5C%5Cs%20%3D%20%5Cfrac%7Bv%5E2%7D%7B2a%7D%20%5C%5C%5C%5Cs%20%3D%20%5Cfrac%7B%280.69%29%5E2%7D%7B2%281.47%29%7D%20%5C%5C%5C%5Cs%20%3D%200.16%20%5C%20m)
Thus, the distance traveled by the wood after the bullet emerges is 0.16 m.
Learn more here:brainly.com/question/15244782
This is a nuclear fission reaction, in which a larger nucleus is bombarded with a neutron to make it break down into two smaller nuclei and release energy.