The Atoms Family

If the kinetic energy of a particle is doubled, by what factor has its speed increased?

Nady [450]

<span> velocity increases by √3</span>

6 0

4 years ago

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Where in the world does average daily temperature exceed the annual temperature range?

padilas [110]

The average daily annual temperature range is exceeded in places such as deserts. Deserts tend to be hotter due to the lack of water contained within them. This means that all of the sun's thermal radiation heats up the ground and air. These factors cause deserts to have above average temperatures.

6 0

3 years ago

Solve using correct significant figures and indicating maximum absolute uncertainty.

Vera_Pavlovna [14]

We use the criterion of significant figures to find the result with reliable figures

X = 9.2 10-5

now with the propagation of errors we obtain the result with its uncertainty

X ± ΔX = (9.2 ± 0.5) 10⁻⁵

given Parameter

* expression values with their absolute errors

to find

* the result with the correct significant figures

* the absolute error of the expression

Significant figures are defined with the number of decimals that give information, the number of figures in a quantity gives information about the uncertainty of this quantity.

There are two criteria for applying significant figures:

* Add and subtract the result of going with the number of decimal places of the figure that has the least

* Product and division as a result of going with the least number of significant figures than the value that has the least.

Remember that the zero to the left do not form a pair of the significant figures

Let's apply this belief to the case presented, let's write the precaution

$x = \frac{a-b}{c}$

where in this case they are worth

a = 0.0336 ± 0.0002

b = 0.010 ± 0.001

c = 255.4 ± 0.4

We see that the significant figures of each parameterize (a, b, c) and their absolute errors are correct.

Let's apply the criteria to the operation

a-b = 0.0336 - 0.010

a- b = 0.0236

we apply the criterion of significant figures for the subtraction, the result must be with 3 decimal places

a - b = 0.024

let's do the other operation

X = $\frac{a-b}{c}$

X = 0.024 / 255.4

X = 9.24 10⁻⁵

We apply the criterion of significant figures for the division, in this case the result is left with two significant figures

X = 9.2 10⁻⁵

The uncertainty or error of the measurements is of most importance as it determines how many significative figures are reliable at a given magnitude.

If the magnitudes are measured with some type of instrument, the absolute error is given by the appreciation of the instrument, if the magnitude is calculated using some equation, the errors must be propagated using the variations of each parameter in the worst case.

the uncertainty of the calculated quantity (X) is

$\Delta X = | \frac{dX}{da}| \Delta a + | \frac{dX}{db} | \Delta b + | \frac{dX}{dc}| \Delta c$

let's perform the derivatives

$\frac{dX}{da} = \frac{1}{c}$

$\frac{dX}{db} = - \frac{1}{c}$

$\frac{dX}{dc} = - \frac{a-b}{c^2}$

we substitute

remember that the bulk value guarantees that we tune the worst case. So all the mistakes add up

ΔX = $\frac{1}{c}$ Δa + $\frac{1}{c}$ Δb + $\frac{a-b}{c^2}$ Δc

ΔX = $\frac{1}{c}$ (Δa + Δb) + $\frac{a-b}{c^2}$ Δc

we substitute

ΔX = $\frac{1}{255.4}$ (0.0002 + 0.001) + $\frac{0.0336-0.010}{255.4^2}$ 0.4

ΔX = 4.698 10⁻⁶ + 1.45 10⁻⁷

DX = 4.8 10-6

Absolute errors must be given with a single significant figure

ΔX = 5 10⁻⁶

The result of the requested quantity using the criterion of significant figures and propagation of errors is

X ± ΔX = (9.2 ± 0.5) 10⁻⁵

learn more about significative figure here:

brainly.com/question/18955573

8 0

3 years ago

A composite load consists of three loads connected in parallel. One draws 100 W at a PF of 0.92 lagging, another takes 250 W at

fenix001 [56]

Answer:

a) $I_{RMS} = 4.79 A$

b) $PF = 0.908$

Explanation:

Get the reactive powers for each of the loads:

Reactive power = Real Power * tanθ

For load 1

Active power, P₁ = 100 W

Power factor, $cos \theta_{1} = 0.92$

$\theta_{1} = cos^{-1} 0.92\\\theta_{1} = 23.074$

$Q_{1}= P_{1} tan \theta_{1} \\Q_{1}= 100tan 23.074\\Q_{1}= 42.60 W$

For load 2

Active power, P₂ = 250 W

Power factor, $cos \theta_{2} = 0.8$

$\theta_{2} = cos^{-1} 0.8\\\theta_{2} = 36.87$

$Q_{2}= P_{1} tan \theta_{2} \\Q_{2}= 250tan 36.87\\Q_{2}= 187.5 W$

For load 3

Active power, P₃ = 250 W

Power factor, $cos \theta_{3} = 1$

$\theta_{3} = cos^{-1} 1\\\theta_{3} =0$

$Q_{2}= P_{1} tan \theta_{3} \\Q_{3}= 150tan 0\\Q_{3}= 0 W$

Calculate the total reactive power, $Q_{net} = 42.6 + 187.5 + 0$

$Q_{net} = 230.1 W$

Calculate the total active power, $P_{net} = 100 + 250 + 150 = 500 W$

$S_{net} = P_{net} + Q_{net} \\S_{net} = 500 + j230.1$

$P_{net} = IVcos \theta_{net}$

$\theta_{net} = tan^{-1} \frac{230.1}{500} \\\theta_{net} = 24.712$

V = 115 $V_{rms}$

$500 = I_{RMS} * 115 cos 24.712\\I_{RMS} = 500/104.47\\ I_{RMS} = 4.79 A$

b) Power factor of the composite load is $cos\theta_{net}$

$\theta_{net} = 24.712\\PF = cos 24.712\\PF = 0.908$

4 0

3 years ago

Which equation correctly relates mechanical energy, thermal energy, and total

Anna35 [415]

Answer:

B

This is because frictional energy is similar to thermal energy in a system. Therefore the thermal energy produced is equal to

8 0

3 years ago