The expression for E2 - E1 in terms of p1, p2, m, and c is E2 - E1 = (p2 + p1)(p2 - p1) / (2m)
How to express E2 - E1?To obtain an expression for E2 - E1, start by rearranging the equation (E2 - E1)(2mc²) = p2²c² - p1²c² to isolate E2 - E1.
Dividing both sides of the equation by 2mc²:
(E2 - E1) = (p2²c² - p1²c²) / (2mc²)
Now, simplify the right-hand side of the equation. Factor out c² from the numerator:
(p2²c² - p1²c²) = c²(p2² - p1²)
Using the identity a² - b² = (a + b)(a - b), rewrite the equation as:
(E2 - E1) = c²(p2 + p1)(p2 - p1) / (2mc²)
Cancelling out the c² terms:
(E2 - E1) = (p2 + p1)(p2 - p1) / (2m)
Thus, the expression for E2 - E1 in terms of p1, p2, m, and c is:
E2 - E1 = (p2 + p1)(p2 - p1) / (2m)
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what type of element is used to gather light in large astronomical telescopes?
The type of element used to gather light in large astronomical telescopes is a primary mirror.
The primary mirror is typically a large concave mirror located at the bottom of the telescope's optical system. Its main function is to collect and focus incoming light from distant celestial objects. The large size of the primary mirror allows for the gathering of a significant amount of light, enhancing the telescope's ability to capture faint and distant objects in space. The collected light is then directed towards secondary mirrors and other optical components for further manipulation and analysis. The primary mirror plays a crucial role in the performance and light-gathering capability of large astronomical telescopes.
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In the figure above, which of the following is the pathway of light that allows the child to see
the ball?
Answer: Light bulb -> child’s eyes -> ball
Explanation:
I don’t know if it’s correct but I think that’s the answer
if the total mechanical energy e of the particle is -7 j, what are the minimum and maximum positions of the particle?
The minimum position of the particle is at a point where its potential energy is a minimum (greater than -7 J), and the maximum position of the particle is at a point where its potential energy is a maximum (-7 J).
How to determine the minimum and maximum positions of a particle?We need to use the conservation of mechanical energy, which states that the total mechanical energy of a particle remains constant throughout its motion. The total mechanical energy (E) of a particle is the sum of its kinetic energy (K) and potential energy (U):
\(E = K + U\)
Since the problem states that the total mechanical energy of the particle is -7 J, we can write:
\(-7 J = K + U\)
The minimum and maximum positions of the particle correspond to the points where its kinetic energy is zero (since the particle briefly stops at these points) and its potential energy is at a maximum or minimum.
At the maximum position, the potential energy is at a maximum, and the kinetic energy is zero. Therefore, we have:
\(U_max = -7 J and K_max = 0\)
At the minimum position, the potential energy is at a minimum (which is greater than -7 J), and the kinetic energy is again zero. Therefore, we have:
\(U_min > -7 J and K_min = 0\)
We cannot determine the exact value of \(U_min\) from the given information, but we know that it must be greater than -7 J.
So, the minimum position of the particle is the point where its potential energy is at a minimum, and its kinetic energy is zero. The maximum position of the particle is the point where its potential energy is at a maximum, and its kinetic energy is zero.
Therefore, we can say that the minimum position of the particle is at a point where its potential energy is a minimum (greater than -7 J), and the maximum position of the particle is at a point where its potential energy is a maximum (-7 J).
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Light rays that are near and parallel to the principal axis of a concave mirror converge to a point 18 cm in front of the mirror. What is the radius of curvature of the mirror?
-9 cm
-18 cm
36 cm
9 cm
18 cm
The radius of curvature of the mirror is 36 cm. The radius of curvature of a concave mirror can be found using the formula: Radius of curvature (R) = 2 × Focal length (f).
The given information implies that the concave mirror forms a real image of an object located at infinity (i.e., very far away from the mirror) along its principal axis. Such an image is called the focal point of the mirror and is located at a distance equal to the focal length (f) of the mirror from its vertex.
From the given data, we know that the distance from the mirror to the focal point (f) is 18 cm. Therefore, we have: f = 18 cm
The relation between the focal length and the radius of curvature (R) of a concave mirror is given by: f = R/2
Solving for R, we get: R = 2f = 2 × 18 cm = 36 cm Therefore, the radius of curvature of the concave mirror is 36 cm.
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wave traveling at 330 m/sec has a wavelength of 4.3 meters. What is the frequency of this wave?
Answer:
76.74 Hz
Explanation:
Given:
Wave velocity ( v ) = 330 m / sec
wavelength ( λ ) = 4.3 m
We have to calculate Frequency ( f ):
We know:
v = λ / t [ f = 1 / t ]
v = λ f
= > f = v / λ
Putting values here we get:
= > f = 330 / 4.3 Hz
= > f = 3300 / 43 Hz
= > f = 76.74 Hz
Hence, frequency of sound is 76.74 Hz.
a pine raft (density = 373 kg/m^3) has a volume of 1.43 m^3. How much of the raft's volume is below the water line? Unit is m^3
Answer: 0.5334
Explanation:
i got it right on accellus :p
Volume of value V = 0.5333 \(m^{3}\) is below the water line .
What is Archimedes principal ?Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid.
F(b) = rho*g*V
F(b) = buoyant force
rho = fluid density
g = acceleration due to gravity
V = fluid volume
given
density of raft = 373 kg/\(m^{3}\)
volume of raft = 1.43 \(m^{3}\)
since, density = mass / volume
mass of raft = density * volume
= 373 * 1.43 = 533.3 kg
using Archimedes principal
Force = density of liquid * volume of liquid displaced * acceleration due to gravity
mg = 1000 * V * 9.8
533.3 * 9.8 = 1000 * V * 9.8
V = 0.5333 \(m^{3}\)
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A wooden log has to be carried by two people. If one of them is strong and another is weak, how will they carry the log?
Show with a diagram and also give reason.
Answer:
Explanation:
theey carry it together
Chlorine is an atom found in group 7A, how many valence electrons does it
have?
17
7
5
3
15
8
(Help asap)
Answer:
7
Explanation:
Cl is halogen needed only one electron to fullfil
its orbit.
hope it will help you,pls follow.
Una bala de cañón se dispara horizontalmente con una velocidad inicial de 120m/s y un ángulo de elevación de 35°.Encuentra:a)su alcance maximo,b)si altura máxima,c)si tiempo maximo de vuelo
Answer:
a) x = 1353,2 m.
b) \(y_{max}\) = 236,9 m \)
c) \(t_{v} = 13,8 s\)
Explanation:
a) El alcance máximo se puede calcular usando la siguiente ecuación:
\( y = y_{0} + tan(\theta)*x - \frac{g}{2}*\frac{x^{2}}{(v_{0}cos(\theta))^{2}} \) (1)
En donde:
y: es la altura final = 0
\(y_{0}\): es la altura inicial = 0
x: es el alcance
θ: es el angulo respecto a la horizontal = 35°
\(v_{0}\): es la velocidad inicial = 120 m/s
g: es la gravedad = 10 m/s²
Resolviendo la ecuación (1) para x, tenemos:
\( x = \frac{2tan(\theta)*(v_{0}cos(\theta))^{2}}{g} = \frac{2tan(35)*(120 m/s*cos(35))^{2}}{10 m/s^{2}} = 1353,2 m \)
El alcance máximo es 1353,2 m.
b) La altura máxima es:
\( y_{max} = \frac{v_{0}_{y}^{2}}{2g} = \frac{(v_{0}sen(\theta))^{2}}{2g} = \frac{(120 m/s*sen(35))^{2}}{2*10 m/s^{2}} = 236,9 m \)
Entonces, la altura máxima es 236,9 m.
c) El tiempo de vuelo es el siguiente:
\(t_{v} = \frac{x}{v_{0}cos(\theta)} = \frac{1353,2 m}{120 m/s*cos(35)} = 13,8 s\)
Por lo tanto, el tiempo de vuelo es 13,8 s.
Espero que te sea de utilidad!
Why dont you fall through walls when you lean against them? provide a scientific explanation to explain your answer.
Answer:
That's why if you lean against the wall, you don't just fall through it. The wall pushes back on you as hard as you push on it, and you and the wall stay in place. If you throw something, you put more force behind it than just leaning on it, so it pushes back with more force.
Explanation:
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What are the factors that cause land and water to heat and cool differently? choose all that apply.
The differential heating of Land and water depends on amount of solar energy reaching earth.
Land is a better conductor of heat than water, heating up and cooling down faster than water.
In summer, amount of solar radiation is highest hence difference of water and land temperature is highest. Air over land heats up and expands hence the air rises above. This rising air is replaced with the surrounding air rich in moisture content from over ocean surface. The degree of differential heating depends on amount of solar energy reaching earth's surface.
This results in Sea Breeze which is from a large body of water towards landmass due to difference in pressure created.
Land Breeze blows towards sea from land at night. It is due to difference in rate of cooling of land and ocean.
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Use DeMorgan's Theorem, as well as any other applicable rules of Boolean algebra, to simplify the following expression so there are no more complementation bars extending over multiple variables: \[ \
The expression to be simplified is, A + BC + ABCD. Using De Morgan's theorem, we can convert complementation bars extending over multiple variables into complementation bars over single variables. The De Morgan's theorem states that the complement of a product is equal to the sum of complements. De Morgan's Theorem:
1. (AB) = A + B2. (A + B) = A B The steps to simplify the given expression using De Morgan's theorem are as follows: A + BC + ABCD = A + (BC + ABCD) = A + (BC). (ABCD) = A + (B + C) (A + B + C + D) = A + AB + AC + BC + BD = A + AC + BC + BD.
Hence, the simplified expression is A + AC + BC + BD. Thus, using DeMorgan's Theorem and other applicable rules of Boolean algebra, the given expression is simplified to A + AC + BC + BD.
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Dr. Chang is studying seismic waves. He notices that seismic waves (a type known as p-waves) travel faster through the mantle than through the outer core. What can he conclude from this observation?.
Seismic velocities are influenced by the medium's physical characteristics, including composition, mineral phase and packing structure, temperature, and pressure.
Denser materials allow seismic waves to propagate more quickly, hence depth generally increases the speed of seismic waves. Seismic waves are slowed in abnormally hot regions. A liquid conducts seismic waves more slowly than a solid does. Due to the fact that P waves and S waves cannot propagate through liquid, molten regions of the Earth slow P waves and block S waves.
There are two different types of waves produced by earthquakes: primary (P) and secondary (S). Based on when they come and how they feel on the surface, they are classified.
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The physical properties of the medium, such as composition, mineral phase and packing structure, temperature, and pressure, have an impact on seismic velocities.
What are seismic wave?
The speed of seismic waves is typically increased by depth because denser materials allow for faster seismic wave propagation. In areas that are abnormally hot, seismic waves slow down. Seismic waves are conducted more slowly by liquids than by solids. Molten parts of the Earth impede P waves and block S waves because P waves and S waves cannot travel through liquid.
Primary (P) and secondary (S) waves are the two main types of seismic waves that are generated. They are categorized based on when they arrive and how they feel on the surface.
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a horizontal force of 140 n is needed to pull a 60.0 kg box across the horizontal floor at constant speed. what is the coefficient of friction between floor and box?
Hi! To calculate the coefficient of friction between the floor and the box, we can use the formula:
coefficient of friction (μ) = friction force (Ff) / normal force (Fn)
In this scenario, the horizontal force (140 N) is equal to the friction force (Ff) since it's being applied to pull the box at a constant speed. The normal force (Fn) is equal to the gravitational force acting on the box, which can be calculated using the formula:
Fn = mass (m) * gravitational acceleration (g)
where mass (m) is 60.0 kg and gravitational acceleration (g) is approximately 9.81 m/s².
Fn = 60.0 kg * 9.81 m/s² = 588.6 N
Now we can find the coefficient of friction (μ):
μ = Ff / Fn = 140 N / 588.6 N = 0.238
The coefficient of friction between the floor and the box is approximately 0.238.
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About how much of Earth's water is available for humans to use?
0.01%
0.90%
3.0%
97.0%
Answer:
0.3 %
Explanation:
Earth cleans and replenishes the water supply through the hydrologic cycle. The earth has an abundance of water, but unfortunately, only a small percentage, is even usable by people.
Type the correct answer in the box. Spell all words correctly. Complete the sentence using the correct term. A ______enforces federal and state laws related to environmental and natural resources. Reset Next reserved.
Answer:
Environmental Protection Agency (EPA)
Explanation:
In the United States of America, the agency which was established by US Congress and saddled with the responsibility of overseeing all aspects of pollution, environmental clean up, pesticide use, contamination, natural resources and hazardous waste spills is the Environmental Protection Agency (EPA). Also, EPA research solutions, policy development, and enforcement of regulations through the resource Conservation and Recovery Act.
The Environmental Protection Agency (EPA) is the governmental agency set up to ensure that various industries, factories and people comply with laws and regulations concerning the environment i.e it is an agency established to oversee and enforce environmental compliance by the people.
Hence, the Environmental Protection Agency (EPA) is saddled with the responsibility of enforcing federal and state laws related to environmental and natural resources.
I need help please :((((((
Answer:
the correct is the letter D
for which of the follwoing charcteristucs - speed, wavelength and frewuncy - is light similar to microwave and for whcih does it differ? explain
Light is similar to microwaves in terms of wavelength, but it differs in terms of speed and frequency. Both light and microwaves are forms of electromagnetic radiation and share similarities in terms of their wavelength.
Wavelength refers to the distance between consecutive peaks or troughs of a wave. Light and microwaves have similar ranges of wavelengths, with light having shorter wavelengths in the visible spectrum and microwaves having longer wavelengths. However, light and microwaves differ in terms of their speed and frequency. The speed of light in a vacuum is a constant value of approximately 3.00 x 10^8 meters per second, while the speed of microwaves depends on the medium through which they travel. Frequency, on the other hand, refers to the number of wave cycles per unit of time. Light and microwaves have different frequency ranges, with light having higher frequencies in the visible spectrum and microwaves having lower frequencies.Therefore, while light and microwaves share similarities in terms of wavelength, they differ in terms of speed and frequency.
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When caring for wounds, doctors need to make sure wounds are not infected by bacteria. Which electromagnetic wave would doctors most likely use for this purpose? gamma rays ultraviolet waves visible light X-rays.
Ultravoilent rays is an type of an electromegnetic wave with wavelength 10nm .Ultraviolet wave is used by doctors in order to keep the wounds away from bacteria.
What is ultravoilent wave ?Ultravoilent rays is an type of an electromegnetic wave with wavelength 10nm. Ultravoilent wave is directly comes frim the sun. It is classified into the UV(A) , UV(B),UV(B).
Ultravoilet rays also effects the human eyes that s why sun glasses are used. The experiments here are compared and quantified to the effectiveness of the sunscreens with various strengths.
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Answer:
B. Ultraviolet waves
Explanation:
Which among the following is dimensionally incorrect? (symbols have their usual meaning A) K=1/2mv² B) V=u-at C) S=ut²+1/2at² D) V²=u²+2as
The equation that is not dimensionally correct among the options is V =u - at .
The dimensions of physical quantities is a representation of physical quantities in terms of mass (M), length(L), time (T). Dimensions are used to establish the correctness of a physical equation.
A equation is dimensionally correct when the right hand side is equal to the left hand side. The equation V=u - at is not dimensionally correct because the dimension of velocity is LT-1. The dimension of acceleration is LT-2.
Dimensionally, this equation is written as;
\(LT^-1 = LT^-1 - (LT^-2 * T^1)\\LT^-1 = LT^-1 - LT^-1\\LT^-1 = 0\)
Hence, the equation is not dimesnsionally correct.
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To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?Convert miles to hour and then divide the two numbers.Change hours to miles and then divide the two numbers.Divide the two numbers as given--units do not have to be the same when dividing.None of these choices are correct.
To find
To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?
Explanation
20 miles refer to the distance travelled
5 hours refers to the time taken
So dividing distance by time would give us speed
Since both are different physicals quantity so their units need not be same.
Conclusion
The correct statement is
Divide the two numbers as given--units do not have to be the same when dividing.
Which of the following statements about large scale mineral extraction is true?
a.
The economic benefits of large scale mineral extraction outweigh the environmental costs.
b.
Large scale mineral extraction is more destructive than in the past.
c.
Large scale extraction is vital to the economy of mining towns.
d.
Mineral extraction cannot be done in ways that do not completely destroy the environment.
Large scale extraction is vital to the economy of mining towns is the correct option.
What is effect of large scale extraction?Large scale extraction is very important to the economy of mining towns because the minerals are very valuable which can be sold at high prices which leads to increase in income of a country but this large extraction also disturbs the surrounding environment.
So we can conclude that Large scale extraction is vital to the economy of mining towns is the right option.
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Answer:
Large scale extraction is vital to the economy of mining towns is right
Explanation:
Someone help me please, I don't know how to do it :(
Answer:
fn /2 .3 'in
Explanation:
Calculate the tensile strength T, with the following information: R = 1 inch, and L = 1 inch. The peak compressive force is 2084 N.
To calculate the tensile strength (T), we need to use the formula:
T = Force/Area
In this case, we are given the peak compressive force as 2084 N. However, we need to convert this to tensile force since we want to calculate the tensile strength. Tensile force is equal in magnitude but opposite in direction to compressive force.
Therefore, T = 2084 N
Next, we need to calculate the cross-sectional area (A) of the material. Given that the diameter of the material is 1 inch, we can calculate the radius (R) as half of the diameter:
R = 1 inch / 2 = 0.5 inch
We need to convert the radius to meters since the SI unit of force is Newton (N) and the SI unit of area is square meters (m^2). Since 1 inch is equal to 0.0254 meters, we can convert the radius as follows:
R = 0.5 inch * 0.0254 meters/inch = 0.0127 meters
Now, we can calculate the cross-sectional area (A) of the material using the formula for the area of a circle:
A = π * R^2
A = 3.1416 * (0.0127 meters)^2
A ≈ 0.0005087 square meters
Finally, we can calculate the tensile strength (T) using the formula:
T = 2084 N / 0.0005087 square meters
T ≈ 4,093,981.8 N/m^2
Therefore, the tensile strength (T) is approximately 4,093,981.8 N/m^2.
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The most important characteristic in designing the soundproof room is to create walls that
Answer:
make sound bounce off walls
Answer:
Explanation:
Walls that absorb the sound and dont just bounce or reflect the sound straight back. Like how video makers have foam walls with ridges on their walls.
The half life of carbon-14 is 5730 years. How old is a bone if it presently contains 0.3125 g of carbon-14, but it was estimated to have originally contained 80 g of carbon-14?
The age of the bone is 45840 years.
We'll begin by calculating the number of half-lives that has elapsed.
Amount remaining (N) = 0.3125 g
Initial amount (N₀) = 80 g
Number of half-lives (n) =?N × 2ⁿ = N₀
0.3125 × 2ⁿ = 80
Divide both side by 0.3125
2ⁿ = 80 / 0.3125
2ⁿ = 256
2ⁿ = 2⁸
n = 8Thus, 8 half-lives has elapsed
Finally, we shall determine the age of the bone.
Half-life (t½) = 5730 years
Number of half-lives (n) = 8
Time (t) =?t = n × t½
t = 8 × 5730
t = 45840 yearsTherefore, the age of the bone is 45840 years.
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A two-point ""transfer"" gauge that can be used with an outside micrometer to measure inside diameters is called a(n):_____.
The answer is a Telescopic gauge.
A Telescopic gauge is a tow point transfer gauge that can be used with an outside micrometre to measure inside diameter.
What is Telescopic gauge?
Telescoping gauges are indirect measuring devices used to determine the internal diameter of a bore, hole, groove, slot, or other similar structure. A handle, two telescopic rods, and a locking screw make up this T-shaped tool. Telescopic gauges with two plunging telescopic rods are available, as are those with only one.Telescopic gauges are used to measure the internal diameter of a bore, hole, or groove with a diameter of up to 150mm (6′′), such as camshaft bearings or connecting rod bore bearings. They are primarily used by mechanics to measure the bore size of a crankcase in an engine with moving pistons.To learn more about Telescopic gauges visit: https://brainly.com/question/14006696?
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Oxygen makes up more than 90 percent of the volume of the Earth's crust. Is oxygen found as a solid, liquid, or gas?
Answer:
Oxygen is an element that can be a solid, liquid or gas depending on its temperature and pressure. In the atmosphere it is found as a gas, more specifically, a diatomic gas. This means that two oxygen atoms are connected together in a covalent double bond.
The pulse of sound hits a stationary object and is reflected back to the bat. The pulse is received by the bat 0.12s after it was emitted. Calculate the distance travelled by the pulse of sound during this time.
Answer:
41.52 m
Explanation:
Using,
v = d/t....................... Equation 1
v = speed of pulse of sound, d = distance travelled by the pulse of sound, t = total time taken.
From equation 1, make d the subject of the equation
d = vt............................ Equation 2
Given: t = 0.12 s.
Constant: v = 346 m/s
Susbtitute these values into equation 2
d = 346(0.12)
d = 41.52 m
An archer performs 100 joules of work in pulling back the string of a bow. What will be the initial speed of a 0. 5-kilogram arrow when it is fired from the bow?.
The initial speed of a 0.5 kg arrow when it is fired from the bow is equal to 20 m/s.
What is kinetic energy?Kinetic energy can be described as the energy carried by a moving body due to its motion. Work should be done on the object in order to bring the change in the kinetic energy of a moving object.
The kinetic energy of an object can be determined from the mathematical formula:
K.E. = ½ mv²
Where ‘v’ is the object's velocity and ‘m’ is the object's mass.
Given, the mass of the arrow, m = 0.5 Kg
The work done = kinetic energy = 100 J
The kinetic energy = (1/2)× m ×(v)²
100 = (1/2)× 0.5 ×(v)²
v² = 400
v = 20 m/s
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