He will be a pilot and he will fly the plane over bridges fewwww
Answer:
![m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s](https://tex.z-dn.net/?f=m_1%3D8%5C%20kg%2C%5C%20m_2%3D6%5C%20kg%2C%5C%20v_1%3D12%5C%20m%2Fs%2C%20v_2%3D4%5C%20m%2Fs%2C%5C%20v_1%27%3D-6%5C%20m%2Fs%2C%5C%20v_2%27%3D28%5C%20m%2Fs)
Explanation:
<u>Conservation of Momentum
</u>
The total momentum of a system of two particles is
![p=m_1v_1+m_2v_2](https://tex.z-dn.net/?f=p%3Dm_1v_1%2Bm_2v_2)
Where m1,m2,v1, and v2 are the respective masses and velocities of the particles at a given time. Then, the two particles collide and change their velocities to v1' and v2'. The final momentum is now
![p'=m_1v_1'+m_2v_2'](https://tex.z-dn.net/?f=p%27%3Dm_1v_1%27%2Bm_2v_2%27)
The momentum is conserved if no external forces are acting on the system, thus
![m_1v_1+m_2v_2=m_1v_1'+m_2v_2'](https://tex.z-dn.net/?f=m_1v_1%2Bm_2v_2%3Dm_1v_1%27%2Bm_2v_2%27)
Let's put some numbers in the problem and say
![m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s](https://tex.z-dn.net/?f=m_1%3D8%5C%20kg%2C%5C%20m_2%3D6%5C%20kg%2C%5C%20v_1%3D12%5C%20m%2Fs%2C%20v_2%3D4%5C%20m%2Fs%2C%5C%20v_1%27%3D-6%5C%20m%2Fs%2C%5C%20v_2%27%3D28%5C%20m%2Fs)
![(8)(12)+(6)(4)=(8)(-6)+(6)(28)](https://tex.z-dn.net/?f=%288%29%2812%29%2B%286%29%284%29%3D%288%29%28-6%29%2B%286%29%2828%29)
![96+24=-48+168](https://tex.z-dn.net/?f=96%2B24%3D-48%2B168)
120=120
It means that when the particles collide, the first mass returns at 6 m/s and the second continues in the same direction at 28 m/s
Answer: 4.7m/s²
Explanation:
According to newton's first law,
Force = mass × acceleration
Since we are given more the one force, we will take the resultant of the two vectors.
Mass = 2.0kg
F1+F2 = (3i-8j)+(5i+3j)
Adding component wise, we have;
F1+F2 = 3i+5i-8j+3j
F1+F2 = 8i-5j
Resultant of the sum of the forces will be;
R² = (8i)²+(-5j)²
Since i.i = j.j = 1
R² = 8²+5²
R² = 64+25
R² = 89
R = √89
R = 9.4N
Our resultant force = 9.4N
Substituting in the formula
F = ma
9.4 = 2a
a = 9.4/2
a = 4.7m/s²
Therefore, magnitude of the acceleration of the particle is 4.7m/s²
Impulse describes the change of momentum. Since we don't know the momentum of the soccer ball before the hit, this question is hard to answer. If you assume the momentum of the ball before the hit was p = 0, then the change in momentum is just Δp = Impulse = mv.