In order to calculate the amount of energy needed, we will apply:
heat energy = mass x specific heat capacity x change in temperature
Q = mcΔT
Substituting the given values,
Q = 1000 x 0.39 x (45 - 25)
Q = 7,800 Joules of heat energy are needed
I do not have a calculator, but let’s think...
Imagine a ballon with a certain amount of gas. When you decrease the volume by squeezing the balloon, you increase the pressure.
Which means volume is inversely proportional to the pressure:
PV=PV
Now to speed things up because class is about to start :/
PV/T=PV/T, I think
Tip: check your units and any questions let me know
To solve this problem it is necessary to apply the related concepts to the principle of overlap, specifically to single slit diffraction experiment concept.
Mathematically this can be expressed as:

Where,
d = Width of the slit
Wavelength
Angle relative to the original direction of the light
m = Any integer which represent the order of the equation (number of repetition of the spectrum)
To solve the problem we need to rearrange the equation and find the wavelength

Our values are given as,



Replacing in our equation we have,




Therefore the wavelength is 523.2nm
Answer:
32.225 and angle is 48.7 degree.
Explanation:
u = 15, θ = 35 degree
v = 18, θ = 60
First represent the u and v in vector form.
u = 15 (Cos 35 i + Sin 35 j ) = 12.287 i + 8.6 j
v = 18 ( Cos 60 i + Sin 60 j ) = 9 i + 15.6 j
The sum of the two vectors is given by
u + v = 12.287 i + 8.6 j + 9 i + 15.6 j = 21.28 i + 24.2 j
Magnitude of u + v =
= 32.225
Let Ф be the angle
tan Ф = 24.2 / 21.28
Ф = 48.7 degree