Answer:
The angle between the two vectors is 60°
Explanation:
Let A and B represent the two vectors, we have;
Let = a, = b, and = c
We have by cosine rule
c² = a² + b² - 2 × a × b × cos(C)
Where, the angle "C", is the angle between the resultant of the two vectors, a and b and facing the resultant
Given that, a = b = c, we have;
a² = a² + a² - 2 × a × a × cos(C)
a² = 2·a² - 2 × a² × cos(C)
2 × a² × cos(C) = 2·a² - a²
cos(C) = a²/(2·a²) = 1/2
Therefore, angle ∠C = arccosine(1/2) = 60°
The angle between the two vectors = ∠C = 60°.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
<h2>♨ANSWER♥</h2>
length of V-50 = 49mm
length of V-1 = 49/50mm
= 0.98mm
so,
minor measurement = (M-1) - (V-1)
= 1mm -0.98mm
= 0.02mm
☆ Therefore,
The minor measurement of the vernier scale is 0.02mm.
<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>
_♡_<em>mashi</em>_♡_
Answer:
a) 3.39 × 10²³ atoms
b) 6.04 × 10⁻²¹ J
c) 1349.35 m/s
Explanation:
Given:
Diameter of the balloon, d = 29.6 cm = 0.296 m
Temperature, T = 19.0° C = 19 + 273 = 292 K
Pressure, P = 1.00 atm = 1.013 × 10⁵ Pa
Volume of the balloon =
or
Volume of the balloon =
or
Volume of the balloon, V = 0.0135 m³
Now,
From the relation,
PV = nRT
where,
n is the number of moles
R is the ideal gas constant = 8.314 kg⋅m²/s²⋅K⋅mol
on substituting the respective values, we get
1.013 × 10⁵ × 0.0135 = n × 8.314 × 292
or
n = 0.563
1 mol = 6.022 × 10²³ atoms
Thus,
0.563 moles will have = 0.563 × 6.022 × 10²³ atoms = 3.39 × 10²³ atoms
b) Average kinetic energy =
where,
Boltzmann constant,
Average kinetic energy =
or
Average kinetic energy = 6.04 × 10⁻²¹ J
c) rms speed =
where, m is the molar mass of the Helium = 0.004 Kg
or
rms speed =
or
rms speed = 1349.35 m/s
Answer:
<u>Density of water decreases when it becomes ice.</u>
Explanation:
Density of a quantity that relates a mass to the volume it occupies , this tells us that there is an inverse relationship between density and volume: as the volume that a mass occupies increases, its density decreases.
The density of water when moving from a liquid state to a solid (frozen) state decreases, because solid water occupies a larger volume.
And because objects with a lower density than liquid water tend to float, this is why ice cubes float.