Answer:
Part a)
U = 15.5 J
Part b)
h = 1.05 m
Part c)
v = 4.55 m/s
Explanation:
Part a)
Initial potential energy stored in the spring is given by
![U = \frac{1}{2}kx^2](https://tex.z-dn.net/?f=U%20%3D%20%5Cfrac%7B1%7D%7B2%7Dkx%5E2)
now we have
![k = 777 N/m](https://tex.z-dn.net/?f=k%20%3D%20777%20N%2Fm)
x = 20.0 cm
now from above formula we will have
![U = \frac{1}{2}(777)(0.20)^2](https://tex.z-dn.net/?f=U%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28777%29%280.20%29%5E2)
![U = 15.5 J](https://tex.z-dn.net/?f=U%20%3D%2015.5%20J)
Part b)
By mechanical energy conservation law we can say that initial spring potential energy stored = final gravitational potential energy at the top position
![\frac{1}{2}kx^2 = mgh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dkx%5E2%20%3D%20mgh)
![15.5 = 1.5(9.8)h](https://tex.z-dn.net/?f=15.5%20%3D%201.5%289.8%29h)
![h = 1.05 m](https://tex.z-dn.net/?f=h%20%3D%201.05%20m)
So maximum height from gun is 1.05 m
Part c)
For muzzle velocity of the ball we can use the energy conservation again
According to which the final kinetic energy of the ball = initial spring energy stored in it
![\frac{1}{2}mv^2 = \frac{1}{2}kx^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7Dkx%5E2)
![(\frac{1}{2})(1.5 v^2) = 15.5](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%281.5%20v%5E2%29%20%3D%2015.5)
![v = v = 4.55 m/s](https://tex.z-dn.net/?f=v%20%3D%20v%20%3D%204.55%20m%2Fs)
It can help determine substances that appear similar but react differently under the same circumstances.
Answer:
400Pa
Explanation:
The question asks for you to substitiute in known values into the formula to solve for pressure which is calculated through force/area
in this instance
force=300N
area=0.75m^2
substitute in the values and solve for pressure
300/0.75=pressure
pressure=400Pa (the si unit for pressure is Pa or pascal)
Hydraulic conductivity (K) is a property of soil<span> that describes the ease with which water can move through </span>pore<span> spaces. It depends on the permeability of the material (</span>pores, compaction) and on the degree of saturation. Saturated hydraulic conductivity, Ksat<span>, describes water movement through saturated media.</span><span />