[tex]\displaystyle \triangle x = 0.904353 \ m[/tex]
General Formulas and Concepts:Physics
Energy
Gravitational Potential Energy Formula: [tex]\displaystyle U_g = mgh[/tex]
m is mass (in kg)g is gravity (9.8 m/s²)h is height (in m)Spring Potential Energy Formula: [tex]\displaystyle U_k = \frac{1}{2}k \triangle x^2[/tex]
k is spring constant (in N/m)Δx is displacement (in m)Law of Conservation of Energy
Math
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityExplanation:Step 1: Define
Identify
[Law of Conservation of Energy] [tex]\displaystyle U_g = U_k[/tex] → [tex]\displaystyle mgh = \frac{1}{2}k \triangle x^2[/tex]
[Given] m = 45 kg
[Given] h = 15 m
[Given] k = 55000 n/m
[Solve] Δx
Step 2: Solve for Δx
Substitute in variables [Law of Conservation of Energy]: [tex]\displaystyle (45 \ kg)(9.8 \ m/s^2)(15 \ m) = \frac{1}{2}(55000 \ N/m) \triangle x^2[/tex]Multiply: [tex]\displaystyle (441 \ kg \cdot m/s^2)(15 \ m) = \frac{1}{2}(55000 \ N/m) \triangle x^2[/tex]Multiply: [tex]\displaystyle 22491 \ J = \frac{1}{2}(55000 \ N/m) \triangle x^2[/tex]Multiply: [tex]\displaystyle 22491 \ J = (27500 \ N/m) \triangle x^2[/tex][Division Property of Equality] Divide 27500 N/m on both sides: [tex]\displaystyle 0.817855 \ m^2 = \triangle x^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle 0.904353 \ m = \triangle x[/tex]Rewrite: [tex]\displaystyle \triangle x = 0.904353 \ m[/tex]Topic: AP Physics 1 - Algebra Based
Unit: Energy
Book: College Physics
What is the total resistance of the circuit shown below?
Answer:
R = 12 ohm
Explanation:
Resistance are in parallel
1 ÷ Resistance = 1 ÷ 20 + 1 ÷ 30
1/R = 50/600
1/R = 1/12
R = 12 ohm
explain how a clinical thermometer should be sterilized and why
Answer:
Explain why it is not advisable to sterilise a clinical thermometer on boiling water at normal atmospheric temperature. A clinical thermometer has small temperature range. The glass will crack/burst due to excessive pressure created by expansion of mercury.
On 7th June 2017 more than 50% of the electricity generated in the UK was from renewable sources. (a) Suggest two environmental conditions in the UK on 7th June 2017.
Answer:
high sunlight intensity
high wind speed
Explanation:
The environmental conditions in the UK on 7th June 2017 are improved because the electricity generation in the UK is done by the renewable sources of energy.
What are renewable resources?A renewable resource, is a type of natural resource that will refill to replace the fraction destroyed by consumption in a finite length of time in a human timescale, either naturally or other periodic processes.
The environmental conditions in the UK are improved on 7th June 2017 due to following reasons ;
1. The renewable energy sources create comparatively low amounts of Gas (GHG) emissions and traditional pollution,
2. During manufacture and transportation. They do emit some emissions and pollutants.
3. Using fossil fuels to generate electricity that creates no greenhouse gas emissions and lowers some forms of air pollution.
4. Increasing energy diversity and minimizing reliance on foreign fuels.
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What is the speed of light (f = 5.09 E14 Hz) in glycerol?
Answer:
The speed of light in glycerol is 2.04×108 m/s .
Explanation:
The speed of light in glycerol will be 2.03 ×10⁷ m/sec. The speed of light is found as the ratio of the speed of light in air and the refractive index.
What exactly is the Refractive Index?The level of bending of a light beam as it goes from one medium to another is known as the refractive index of the medium.
The frequency of the wave is given as;
[tex]\rm f = 5.09 \times 10^{14} Hz[/tex]
The refractive index of ethyl alcohol is n=1.4722
The substance's index of refraction yields the ratio of light speed in a vacuum to light speed in that medium, the speed of light is sound as;
[tex]\rm n = \frac{C}{v} \\\\ \rm v = \frac{C}{n} \\\\ \rm v = \frac{3 \times 10^8}{1.4722} \\\\ v= 20377660.00\ m/sec \\\\ v= 2.03 \times 10^7 m/sec[/tex]
Hence, the speed of light in glycerol will be 2.03 ×10⁷ m/sec.
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Fill in the term that completes the statement. The north and south poles of a magnetic field produced by an electromagnet will switch when the direction of the changes.
Answer:
when the direction of the Current changes.
Explanation:
Electromagnet refers to an iron ore wrapped around with a coil of wire, in presence of electric current. As it acts like a magnet, when current is passed through it.
The north & south poles of magnetic fields produced by such magnet, change with direction of current passed through it.
Answer:
current
Explanation:
edge2021
What percentage of stars do kepler scientists suggest host earth size planets?
A. 15.9%
B. 2.6%
C. 10.2%
D. 5.4%
whos correct and why? please help me with this
Answer:
Enrique is the correct answer Hope it helps you have a good day
Answer:
enrique is correct
Explanation:
thw earth is bigger than the moon and closer to the sun therefore a shadow is cast from the earth onto the moon as it orbits around the earth
Un automovil de 900 kg toma una curva de radio de 40 m con una rapidez constante de 50 km/h. Cual es la fuerza neta necesaria para mantener al automovil moviendose en la curva circular
Answer:
Fc = 4340,93 Newton
Explanation:
Dados los siguientes datos;
Masa = 900 kg
Velocidad, V = 50 km/h a metros por segundo = (50 * 1000)/(60 * 60) = 50000/3600 = 13,89 m/s
Radio, r = 40 m
Para encontrar la fuerza centrípeta;
Fc = mv² / r
Fc = (900 * 13,89²)/40
Fc = (900 * 192,93)/40
Fc = 173637/40
Fc = 4340,93 Newton
ILL GIVE BRAINLIEST!! please help and answer correctly!
Determine the orbits period of the moon when the distance between the earth and the moon is 3.82 x 10 to the power of 8
Answer
From
V=Distance/time
The distance round a circular path or Object is 2πr
so
v=2πr/T
Making T(period) subject
T=2πr/v
where v is the linear velocity.
We don't have the velocity but we can get it.
The Moon and Earth exert gravitational force on each other and the Moon is kept in Orbit by Centripetal force.
Since the Moon doesn't fly out of Orbit... it must mean that the Gravitational force being exerted on it by the Earth is equal to its centripetal Force.
Equating Both (Fg=Fc)
Fg=GMm/R²
Fc=mv²/r
GMm/R² = mv²/R
Canceling out "m" and "r" on both sides
we're left with
V²=GM/R
V=√GM/R
Where M= Mass of Earth (5.98x10^24)
R=Distance between the center of earth and the Moon
G= Gravitational Constant(Value 6.67x10^-11)
V=√6.67x10^-11 x 5.98x10^24/(3.82x10^8)
V=1021.84meters per second.
Now
T=2πr/v
=2π x 3.82x10^8 / 1021.84
T=2.35x10^6seconds
Converting to days by dividing by(24 x 3600)
You have
T=27.2days approx.
✅✅✅
The first law of thermodynamics is just another form of the _____.
A. Conservation of energy
B. Conservation of mass
C. Mass- energy equivalence
D. Mechanical equivalent
You have a 6.00 V power supply, and
a 30.0 ohm and a 75.0 ohm resistor.
Find the current flowing out of the
battery if the resistors are connected
in parallel
Answer: 0.28 A
Explanation:
7. The Voyager 1 space probe was launched in the 1970's and is now the furthest
man-made object from earth - it has actually left the solar system. At its current speed it
could travel across the US, a distance of about 4500 km in 265 seconds (a little less
than 5 minutes!) What is its average speed in kilometers per second?
PLEASE HELP I NEED THE FORMULA AND ANSWER THANK YOU!!
Answer:
v = 16.98 km/s
Explanation:
Given that,
Distance, d = 4500 km
Time, t = 265 s
We need to find its average speed. The total distance covered divided by total time taken is called average speed of an object. So,
[tex]v=\dfrac{4500\ km}{265\ s}\\\\=16.98\ km/s[/tex]
So, the average speed is 16.98 km/s.
how are speed and distance similar?
Answer:
When an object moves in a straight line at a steady speed, we can calculate its speed if we know how far it travels and how long it takes. This equation shows the relationship between speed, distance traveled and time taken: Speed is distance divided by the time taken.
Explanation:
Thats what goog.le said so if its wrong blame G O O G L E
Steady slow of electrons?
Answer:
????????....???????? :/
How would you design an experiment to condition a rabbit to salivate to the ringing of a cell phone?
Qué esperas que pase cuando las partículas alfa de poca energía se acerquen a un núcleo con muchos protones?
Answer:
Sufrirá una deflección en su recorrido.
Explanation:
Las partículas alfa son nucleos de He (dos protones mas dos neutrones), por lo tanto tienen una carga neta positiva.
Ahora, al acercarse al nucleo de un átomo con muchos protones y con baja energía, la partícula alfa sufrirá una deflección en su recorrido debido a las fuerzas de repulsión electrostática que siente la partícula, ya que el nucelo posee caraga positiva.
Espero te haya sido de ayuda.
If Europium (Eu) undergoes proton decay and loses 3 protons, which element will it become?
Answer:
Neodymium (Nd)
Explanation:
An element is made up of atom, which contains three subatomic particles namely; proton, electron, and neutron. In a neutral atom, the number of protons determines the atomic number of that element and the atomic number of an element is the identity of that element in the periodic table.
Hence, a change in the proton number of an element means a change in the atomic number and ultimately a change of that element. In this question, Europium (Eu) element with atomic number, 63, loses three protons. This means that that atom now has 60 protons, which denotes the atomic number of another element called Neodymium (Nd).
Therefore, Europium (Eu) element has become Neodymium (Nd) due to loss of protons.
Which of the following has 5 significant digits?
O 0.00030
O 50,000
O 100.0300
O 500.00
Answer:
50,000
Explanation:
when we say significant digits we mean the numbers that matter when stating the value of the number.
0.00030 can be written as 0.0003 without affecting it's value, the last zero is not significant.
50,000 all of the numbers here are significant to its value if we take away a zero it becomes 5,000 which is not equal to 50,000. so every digit here is significant
100.0300 can be written as 100.03 without loosing any value
500.00 can be written as 500 without loosing any value. ( think of this as $500.00, this also equals $500)
RUE or FALSE: Red hair and freckles is a helpful (good) mutation.
[PLEASE HELP ASAP TY]
light is shone on a diffraction grating with d=2.25 x 10^-6 m. the first order (m = 1) maximum occurs at a 15.7 angle. what is the wavelength of the light in nanometers? (hint: the answer will be between 400 and 700)
[?] nm
Answer:
608.9 nm
Explanation:
trust me cutie
The wavelength of light in nanometers is 0.017 x [tex]10^{3}[/tex] nm.
We have -
d = [tex]2.25\times 10^{-6}[/tex]
n = 1 = order
θ = 15.7 degrees
We have to calculate the wavelength of light (λ) in nanometers.
What is diffraction?Diffraction is defined as the bending or spreading of light waves as it passes through the edge of an object or through a small slit (size of slit should be very very less then wavelength of light) is called diffraction.
According to the question, we can use the following relation to calculate wavelength as -
d sinθ = nλ
λ = [tex]\frac{dsin\theta}{n}[/tex]
λ = d sinθ (since n = 1)
λ = [tex]2.25\times 10^{-6}[/tex] x sin (15.7)
λ = 0.0079 x 2.25 x [tex]10^{-6}[/tex]
λ = 0.0177 x [tex]10^{-6}[/tex] m
We know that -
1 nanometer = [tex]10^{-9}[/tex] m
1 m = [tex]\frac{1}{10^{-9} }[/tex]
0.017 x [tex]10^{-6}[/tex] m will be equal to = [tex]\frac{0.017\times 10^{-6} }{10^{-9} }[/tex] = 0.0177 x [tex]10^{3}[/tex] nm
Hence, the wavelength of light in nano meters is 0.0177 x [tex]10^{3}[/tex] nm.
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On the decibel scale,an increase of 1 dB means that sound intensity is increased by a factor of ________?
A.10
B.20
C.100
D 200
Answer:
A. 10
Explanation:
it increases by 10 each level
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Pluto has a gravitational field strength (g) of 0.61. If you have a weight of 1000 N on the Earth (g = 10), what will your weight be on Pluto?
A. 0.61 N
B. 6.1 N
C. 61 N
D. 610 N
Reset Selection
Answer: Alternative D.
------------------------------------------------
To calculate the gravitational weight of other planets, the formula is used:
[tex]\large\boxed{{\mathbf{P = m \cdot g}}}[/tex]
Data:
Mass(m): 1000 N
Gravity(g): 0.61
Weight(p): ?
We replace data:
P = m × g
P = 1000 N × 0.61
P = 610 N
Result: Its weight on Pluto will be 610 Newtons (Alternative D).
During an extremely foggy day during the medieval era, an architect wants to determine the height of a building. He cannot see to the top of his building, but he stands on the roof and lowers a pendulum to the ground. If the pendulum swings with a period of 12 seconds, what is the height of the building?
Answer:
Height of the building = 35.78 m
Explanation:
Given that,
The time period of a pendulum is, T = 12 s
We need to find the height of the building. The formula for the time period of a pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
Where
l is the height of the building
[tex]l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(12)^2\times 9.8}{4\times 3.14^2}\\\\l=35.78\ m[/tex]
So, the height of the building is 35.78 m.
Use the drop-down menus to identify the parts of the
diagram labeled A, B, and C.
Label A
Label B.
Label C
Answer:
Use the drop-down menus to identify the parts of the diagram labeled A, B, and C.
Label A
✔ battery
Label B
✔ light or bulb
Label C
✔ switch
Explanation:
The parts A, B and C are battery, light bulb and switch respectively.
What is meant by an electric circuit ?The electrical circuits are defined as the closed-loop or routes that create a web of electrical components through which electrons can move.
Here,
The given diagram is of an electric circuit.
Wires are used to construct this path, which is powered by a battery or another energy source.
Part A
The beginning of the point where electrons begin to flow is referred to as the source, known as the battery and the end of the point where electrons leave the electrical circuit is referred to as the return.
Part B
An electrically powered light bulb is a type of lighting source. By passing current through a small wire called a filament, light bulbs convert electricity into light. Tungsten is a substance that produces light when electricity is delivered through it, and this is often the material used to make the filament.
Part C
It is the switch. An electrical circuit can be broken by a switch by rerouting current from one conductor to another conductor or an insulator.
Hence,
The parts A, B and C are battery, light bulb and switch respectively.
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A stone is dropped from the top a 45m hign building how fast will it moving when it reaches the ground? Ande what will its velocity be?
Answer:
29.7 m/s fast, velocity is 29.7 m/s
Explanation:
Applying,
v² = u²+2gs...................... Equation 1
Where v = final velocity, u = initial velocity, g = acceleration due to gravity, s = distance.
Given: u = 0 m/s (dropped from height), s = 45 m
Constant: g = 9.8 m/s²
Substitute these values into equation 1
v² = 0²+2×9.8×45
v² = 882
v = √(882)
v = 29.7 m/s.
Hence the stone will be moving 29.7 m/s fast and the velocity is also 29.7 m/s
1) A negative charge of 6C exerts an attractive force of 65N on a second
charge that is 0.005 m away. What is the strength of the second charge?
Answer: [tex]30.09\times 10^{-15}\ C[/tex]
Explanation:
Given
The first charge is [tex]q_1=-6\ C[/tex]
Attraction force [tex]F=65\ N[/tex]
the second charge is at [tex]0.005\ m[/tex] away
Suppose the second charge is [tex]q_2[/tex]
The electrostatic force is given by
[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]
Insert the values
[tex]65=\dfrac{9\times 10^9\times 6\times q_2}{[5\times 10^{-3}]^2}\\\\\Rightarrow q_2=\dfrac{65\times 25\times 10^{-6}}{54\times 10^9}\\\\\Rightarrow q_2=\dfrac{1625\times 10^{-6-9}}{54}\\\\\Rightarrow q_2=30.09\times 10^{-15}\ C[/tex]
Body types can be described as _____ (check all that are correct)Immersive Reader
(1 Point)
apple
pear
rectangle
hourglass
stump
oblong
lean
body builder
Anyone??????????????????
Explanation:
I believe it is b or c. most likely b
Pleas answer all three no links I will report you brainliest if right and 50 points
Answer:
1. 30,000 Kelvin, or 53,540 Farenheit, or 29,726 Celcius
2. i'm not sure, I'm sorry. I know that there are several, and one of them is helium.
3. This fusion changes the inner composition of the star, eventually it becomes a red giant or supergiant
Explanation:
Hope this helps :)