Answer:
3333.33 kg/m³
Explanation:
Density: This can be defined as the ratio of the mass of a body to its volume.
The unit of density is kg/m³.
From Archimedes principle,
R.d = W/U = D/D'
Where R.d = relative density, W = weight of the object in air, u = upthrust in water, D = Density of the object, D' = Density of water.
W/U = D/D'
making D the subject of the equation
D = D'(W/U).......................... Equation 1
Given: W = 5.0 N, U = 5.0 -3.5 = 1.5 N, D' = 1000 kg/m³
Note: U = lost in weight = weight in air - weight in water
Substitute into equation 1
D = 1000(5/1.5)
D = 3333.33 kg/m³
Thus the density of the object = 3333.33 kg/m³
Many devices have been invented to accurately measure temperature. It all started with the establishment of a temperature scale. This scale transformed the measurement of temperature into meaningful numbers.
In the early years of the eighteenth century, Gabriel Fahrenheit (1686-1736) created the Fahrenheit scale. He set the freezing point of water at 32 degrees and the boiling point at 212 degrees. These two points formed the anchors for his scale.
Later in that century, around 1743, Anders Celsius (1701-1744) invented the Celsius scale. Using the same anchor points, he determined the freezing temperature for water to be 0 degree and the boiling temperature 100 degrees. The Celsius scale is known as a Universal System Unit. It is used throughout science and in most countries.
There is a limit to how cold something can be. The Kelvin scale is designed to go to zero at this minimum temperature. The relationships between the different temperature scales are:
oK = 273.15 + oC oC = (5/9)*(oF-32) oF = (9/5)*oC+32
oF oC oK
Water boils 212 100 373
Room Temperature 72 23 296
Water Freezes 32 0 273
Absolute Zero -460 -273 0
At a temperature of Absolute Zero there is no motion and no heat. Absolute zero is where all atomic and molecular motion stops and is the lowest temperature possible. Absolute Zero occurs at 0 degrees Kelvin or -273.15 degrees Celsius or at -460 degrees Fahrenheit. All objects emit thermal energy or heat unless they have a temperature of absolute zero.
If we want to understand what temperature means on the molecular level, we should remember that temperature is the average energy of the molecules that composes a substance. The atoms and molecules in a substance do not always travel at the same speed. This means that there is a range of energy (the energy of motion) among the molecules. In a gas, for example, the molecules are traveling in random directions at a variety of speeds - some are fast and some are slow. Sometimes these molecules collide with each other. When this happens the higher speed molecule transfers some of its energy to the slower molecule causing the slower molecule to speed up and the faster molecule to slow down. If more energy is put into the system, the average speed of the molecules will increase and more thermal energy or heat will be produced. So, higher temperatures mean a substance has higher average molecular motion. We do not feel or detect a bunch of different temperatures for each molecule which has a different speed. What we measure as the temperature is always related to the average speed of the molecules in a system
Answer:
10
Explanation:
(r) = <10 cos 6t, 10 Sin 6t>
The distance traveled by the object is the magnitude of vector r.
The magnitude of vector r is given by
r = 10
Answer:
8.91 %
Explanation:
Since v² = 2gy
By the relative error formula,
2Δv/v = Δg/g + Δy/y multiplying by 100%, we have
2Δv/v × 100% = Δg/g × 100 % + Δy/y × 100%
2(Δv/v × 100%) = Δg/g × 100 % + Δy/y × 100%
Δg/g × 100 % = 2(Δv/v × 100%) - Δy/y × 100%
Since Δv/v × 100% = 3.69 % and Δy/y × 100% = 5 %
Since we have a difference for the percentage error in g, we square the percentage errors and add them together. So,
[Δg/g × 100 %]² = [2(Δv/v × 100%)]² + [Δy/y × 100%]²
[Δg/g × 100 %]² = [2(3.69)]² + [5%]²
[Δg/g × 100 %]² = [4)(3.69 %)² + [5%]²
[Δg/g × 100 %]² = 54.4644 %² + 25%²
[Δg/g × 100 %]² = 79.4644 %²
taking square-root of both sides, we have
[Δg/g × 100 %] = 8.91 %
So, the percent uncertainty in the calculated value of g is 8.91 %
Answer:
d= 1.56 m
Explanation:
In order to have a constructive interference, the path difference between the sources of the sound, must be equal to an even multiple of the semi-wavelength, as follows:
⇒ d = d₂ - d₁ = 2n*(λ/2)
The minimum possible value for this distance, is when n=1, as it can be seen here:
dmin = λ
In any wave, there exists a fixed relationship between the wave speed, the frequency and the wavelength:
v = λ*f
If v = vsound = 343 m/s, and f = 220 1/s, we can solve for λ:
λ =
⇒ dmin =λ = 1.56 m
