Answer:
The vertical distance is ![d = \frac{2}{k} *[mg + f]](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B2%7D%7Bk%7D%20%2A%5Bmg%20%2B%20f%5D)
Explanation:
From the question we are told that
The mass of the cylinder is m
The kinetic frictional force is f
Generally from the work energy theorem
![E = P + W_f](https://tex.z-dn.net/?f=E%20%20%3D%20%20P%20%2B%20%20W_f)
Here E the the energy of the spring which is increasing and this is mathematically represented as
![E = \frac{1}{2} * k * d^2](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20k%20%20%2A%20%20d%5E2)
Here k is the spring constant
P is the potential energy of the cylinder which is mathematically represented as
![P = mgd](https://tex.z-dn.net/?f=P%20%20%3D%20mgd)
And
is the workdone by friction which is mathematically represented as
![W_f = f * d](https://tex.z-dn.net/?f=W_f%20%20%3D%20%20f%20%2A%20%20d)
So
![\frac{1}{2} * k * d^2 = mgd + f * d](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20k%20%20%2A%20%20d%5E2%20%3D%20%20mgd%20%2B%20%20f%20%2A%20%20d%20)
=> ![\frac{1}{2} * k * d^2 = d[mg + f ]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20k%20%20%2A%20%20d%5E2%20%3D%20%20d%5Bmg%20%2B%20%20f%20%20%20%20%5D)
=> ![\frac{1}{2} * k * d = [mg + f ]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20k%20%20%2A%20%20d%20%3D%20%20%5Bmg%20%2B%20%20f%20%20%20%20%5D)
=> ![d = \frac{2}{k} *[mg + f]](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B2%7D%7Bk%7D%20%2A%5Bmg%20%2B%20f%5D)
Answer:
diameter of largest orbit is 0.60 m
Explanation:
given data
isotopes accelerates KE = 6.5 MeV
magnetic field B = 1.2 T
to find out
diameter
solution
first we find velocity from kinetic energy equation
KE = 1/2 × m×v² ........1
6.5 × 1.6 ×
= 1/2 × 1.672 ×
×v²
v = 3.5 ×
m/s
so
radius will be
radius =
........2
radius =
radius = 0.30
so diameter = 2 × 0.30
so diameter of largest orbit is 0.60 m
To create this comic strip you can use a narration describing each step and illustrate each one with one image or drawing.
Creating a comic strip involves using images and short texts to explain a specific idea or phenomenon. In the case of the process for a meteor to enter Earth you can use the following ideas.
- A meteoroid approaches the Earth at high speed and draw a meteor traveling near to different planets and approaching Earth.
- What is that? and draw the Earth wondering who or what is approaching.
- The meteoroid enters the atmosphere of the Earth and becomes a meteor and draw the rocky body burning
- The rocky body crashes with the surface becoming a meteorite and draw the zone where the meteorite crashed.
Learn more about comic in: brainly.com/question/1418309
C. Lack of mates. If they cannot reproduce enough, their size will reduce.
Answer:
V = 42.41cm^3
Explanation:
In order to calculate the volume of the solid, you use the following formula:
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
where
r: radius of the circular base of the cone = 3 cm
h: height from the circular base to the peak of the cone = 4.5 cm
You replace the values of r and h in the formula for the volume V:
![V=\frac{1}{3}\pi(3cm)^2(4.5)=42.411cm^3\approx42.41cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%283cm%29%5E2%284.5%29%3D42.411cm%5E3%5Capprox42.41cm%5E3)
hence, the volume of the solid is 42.41 cm^3