Answer:
Part a)
![P = 7.5 kg m/s](https://tex.z-dn.net/?f=P%20%3D%207.5%20kg%20m%2Fs)
Part b)
![v = 3.26 m/s](https://tex.z-dn.net/?f=v%20%3D%203.26%20m%2Fs)
Explanation:
As we know that two carts are moving in opposite directions
so here total momentum of two carts must be given by vector subtraction
It is given as
![P = m_1\vec v_1 + m_2\vec v_2](https://tex.z-dn.net/?f=P%20%3D%20m_1%5Cvec%20v_1%20%2B%20m_2%5Cvec%20v_2)
![P = (2.3)(4.5) + (1.5)(-1.9)](https://tex.z-dn.net/?f=P%20%3D%20%282.3%29%284.5%29%20%2B%20%281.5%29%28-1.9%29)
![P = 7.5 kg m/s](https://tex.z-dn.net/?f=P%20%3D%207.5%20kg%20m%2Fs)
Now we know that total momentum of the system is conserved here as there is no external force on this system
so the speed of the first cart when second cart was at rest is given as
![P = m_1 v_1 + 0](https://tex.z-dn.net/?f=P%20%3D%20m_1%20v_1%20%2B%200)
![7.5 = 2.3 v](https://tex.z-dn.net/?f=7.5%20%3D%202.3%20v)
![v = 3.26 m/s](https://tex.z-dn.net/?f=v%20%3D%203.26%20m%2Fs)
The initial compression of the spring is determined as 0.54 m.
<h3>What is the compression of the spring?</h3>
The compression of the spring is determined by applying the principle of conservation of linear momentum as follows;
E = U
mgh = ¹/₂kx²
2mgh = kx²
x² = 2mgh/k
x = √(2mgh/k)
where;
- m is the mass of the projetcile
- h is the height
- k is the spring constant = 0.07 N/cm = 7 N/m
- x is the compression of the spring
x = √(2 x 0.021 x 9.8 x 5)/7)
x = 0.54 m
Learn more about compression of spring here: brainly.com/question/2114706
#SPJ1
Answer: Reflection by clouds
Explanation:
Only some shortwave radiation from the sun reaches the Earth's surface because solar radiation is being reflected by thick clouds and thin clouds transmit the solar radiation.
About 31 % of solar radiation is reflected by clouds. The tiny water particle scatters 20-90 % of incoming sunlight giving them a bright white appearance.
Acceleration = (change in speed) / (time for the change)
Acceleration = (220 m/s) / (20 sec)
<em>Acceleration = 11 m/s²</em>