Well,
When an object's velocity changes, we call it acceleration.
Acceleration: The time rate of change in an object's velocity
Answer:
5.9 x 10⁻⁷m
Explanation:
Given parameters:
Frequency = 5.085 x 10¹⁴Hz
Speed of light = 3.0 x 10⁸m/s
Unknown:
Wavelength of the orange light = ?
Solution:
The wavelength can be derived using the expression below;
wavelength =
v is the speed of light
f is the frequency
wavelength =
= 5.9 x 10⁻⁷m
The incline is frictionless, this means we can use the conservation of energy: the initial kinetic energy of the block
![K= \frac{1}{2}mv^2](https://tex.z-dn.net/?f=K%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20)
is converted into gravitational potential energy
![U=mgh](https://tex.z-dn.net/?f=U%3Dmgh)
where h is the height reached by the block as it stops. By equalizing the two formulas, we get
![\frac{1}{2} mv^2=mgh](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20mv%5E2%3Dmgh)
![h= \frac{v^2}{2g}= \frac{(12.0 m/s)^2}{2(9.81 m/s^2)} =7.3 m](https://tex.z-dn.net/?f=h%3D%20%5Cfrac%7Bv%5E2%7D%7B2g%7D%3D%20%5Cfrac%7B%2812.0%20m%2Fs%29%5E2%7D%7B2%289.81%20m%2Fs%5E2%29%7D%20%3D7.3%20m%20)
However, this is the maximum height reached by the block. The distance along the surface of the plane is given by:
You have
1
s
, and oftentimes with wavelength, you want to convert to
nm
which is UV-Vis range (
200~700 nm
), and is often of spectral interest.
What you want to do is:
1
s
→
1
m
→
m
→
nm
Conversion factors are extremely useful, and one easy one to remember is the speed of light, which is about
3
×
10
8
m/s
.
1
1
s
⋅
s
m
=
m
And finally, we can convert to
nm
:
10
9
nm
=
1 m
→
conversion factor:
10
9
nm
1 m
m
⋅
10
9
nm
1
m
Thus, overall, you just have:
nm
=
1
1
s
⋅
s
3
×
10
8
m
⋅
10
9
nm
1
m
=
1
1
/
s
⋅
3
×
10
8
m
/
s
×
10
9
nm
1
m