Answer:
The arrow was moving at 16.2 m/s
Explanation:
The law of conservation of energy says that the kinetic energy of the arrow must be converted into the potential energy of the block and arrow after it they join:
![\dfrac{1}{2}m_av^2 = (m_b+m_a)\Delta Hg](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dm_av%5E2%20%3D%20%28m_b%2Bm_a%29%5CDelta%20Hg)
where is the mass of the arrow, is the mass of the block, of the change in height of the block after the collision, and is the velocity of the arrow before it hit the block.
Solving for the velocity v, we get:
![$v = \sqrt{\frac{2(m_b+m_a)\Delta Hg}{m_a} } $](https://tex.z-dn.net/?f=%24v%20%3D%20%5Csqrt%7B%5Cfrac%7B2%28m_b%2Bm_a%29%5CDelta%20Hg%7D%7Bm_a%7D%20%7D%20%24)
![m_a = 0.049kg,m_b = 1.45kg,\Delta H = 0.44m,g= 9.8m/s^2](https://tex.z-dn.net/?f=m_a%20%3D%200.049kg%2Cm_b%20%3D%201.45kg%2C%5CDelta%20H%20%3D%200.44m%2Cg%3D%209.8m%2Fs%5E2)
![v = \sqrt{\frac{2(0.049 + 1.45)0.44 * 9.8}{0.049} } \\= 16.2m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7B2%280.049%20%2B%201.45%290.44%20%2A%209.8%7D%7B0.049%7D%20%7D%20%5C%5C%3D%2016.2m%2Fs)
The arrow was moving at 16.2 m/s
Competition can result in territory obtained by one kind of birds, causing the other birds to find somewhere else. There can also be competition in food where one type of bird takes over resulting in other birds finding another habitat leading to a decrease and limitation in the size of a bird population.
The most reactive element of this list is Chlorine, the next most reactive is bromine, and the least reactive is iodine.
All of these three elements are group 7 elements in the periodic table. It is known that the reactivity of group 7 elements decreases down the group. The most reactive element in this group is Flourine with reactivity decreasing down the group.
The reason for this decrease in reactivity is that as you go down the group, the distance between the positive nucleus that attracts valence electrons increases, decreasing the electrostatic attraction between the nucleus and the outer electrons. The other reason is that the electrons in lower energy levels closer to the nucleus repel and shield the electrons in the outermost shell or energy level of the atom.
Chlorine>Bromine>Iodine.
Use the formula
Heat= mass x specific heat x temperature increase
Explanation:
Below is an attachment containing the solution.