Considering the equivalence between mass and energy given by the expression of Einstein's theory of relativity, the correct answer is the last option: the energy equivalent of an object with a mass of 2.5 kg is E= 2.25×10¹⁷ J.
The equivalence between mass and energy given by the expression of Einstein's theory of relativity, where the energy of a body at rest (E) is equal to its mass (m) multiplied by the speed of light (c) squared:
E=m×c²
This indicates that an increase or decrease in energy in a system correspondingly increases or decreases its mass, and an increase or decrease in mass corresponds to an increase or decrease in energy. In other words, mass itself is a measure of an equivalent amount of energy.
In other words, a change in the amount of energy E, of an object is directly proportional to a change in its mass m.
In this case, you know:
m=2.5 kgc= 3×10⁸ m/sReplacing:
E= 2.5 kg× (3×10⁸ m/s)²
Solving:
E= 2.25×10¹⁷ J
Finally, the correct answer is the last option: the energy equivalent of an object with a mass of 2.5 kg is E= 2.25×10¹⁷ J.
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https://brainly.com/question/9477556the light-collecting area of an 8-meter telescope is _____ times that of a 2-meter telescope.
Answer:
16
Explanation:
The 8-meter telescope has 16 times the light-collecting area of the 2-meter telescope.
The light-collection area of the 8-meter telescope is 16 times greater than that of the 2-meter telescope.
What is Telescope?A telescope is a tool to view distant objects through the electromagnetic radiation to view distant objects through electromagnetic radiation that they emit, absorb, or reflect. The term "telescope" now refers to a broad range of instruments capable of detecting various regions of electromagnetic radiation, and in some cases other types of detectors, in addition to the original meaning of the word, which was only an instrument used to see objects using lenses, reflective surfaces, or a combination of both, to observe distant objects.
Telescopes using glass lenses were the first practical telescopes ever made, and they were developed in the Netherlands at the start of the 17th century. They were employed in astronomy and terrestrial applications.
The first refracting telescope was created several decades before the plane mirror, which employs mirrors to gather and focus light.
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Which of these measures a wavelength.
Answer:
A
Explanation:
To measure wavelength, you would find the distance from crest (top of the wave) to crest.
Hope this helps! :)
each drawing shows three points along the path of a projectile, one on its way up, one at the top, and one on its way down. the launch point is on the left in each drawing. which drawing correctly represents the acceleration a of the projectile at these three points?
The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward. Therefore, the correct option is diagram no 4.
In the case of a projectile launched into the air, the acceleration acts vertically and is influenced by gravity.
Let's analyze the three points along the path of the projectile:
1. On its way up: At this point, the projectile is moving upwards, and gravity is acting in the downward direction. Therefore, the acceleration of the projectile at this point is directed downward to oppose the upward motion and eventually bring the projectile to a stop.
2. At the top: The projectile reaches its maximum height and momentarily comes to a stop before starting to fall back down. At this point, the acceleration is solely due to gravity, and it acts vertically downward. The acceleration at the top of the projectile's path is directed downward.
3. On its way down: The projectile is now moving downward, and gravity continues to act in the downward direction. The acceleration at this point is again directed downward, assisting the downward motion of the projectile.
Considering these factors, the drawing that correctly represents the acceleration of the projectile at these three points should show the acceleration vector pointing vertically downward in all three positions.
This represents the consistent influence of gravity on the projectile throughout its motion.
Therefore, the correct option is diagram no 4. The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward.
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How were lion fish introduced to the areas around Florida
Answer:
I think this will answer your question. This is information is not mine and this rightfully belongs to columbia.edu.This brightly colored fish is native to the Indo-Pacific from Australia north to southern Japan and south to Micronesia. The lionfish is usually found in coral reefs of tropical waters, hovering in caves or near crevices. Native regions as well as Savannah, Georgia; Palm Beach and Boca Raton, Florida; Long Island, New York; Bermuda and possibly Charleston. In southern Florida and off the coast of the Carolinas in early to mid 1990s.
Answer:I really don't know sorry
Explanation:
A spring has a spring constant of 100 N/m. When the spring is compressed by 5 mm (such that \Delta xΔx is negative), determine the restoring spring force.
Given that spring constant, k = 100 N/m and displacement, x = - 5mm = - 0.005 m
The formula of restoring force according to Hooke's law,
\(F=-kx\)Substituting the values, we get
\(\begin{gathered} F=-100(-0.005) \\ =\text{ 0.5 N} \end{gathered}\)Thus, the force is 0.5 N
under the principles of the concentric ring model, what is the name of the activities found in the most outer circle / ring?
a concentric ring model in which social groupings are spatially organised in a hierarchy of rings. The upper class resides further away from the center, while the lower class is located closer to it.
The concentric ring model operates on the presumption that cultural content results from the incorporation of original ideas into the creation and/or presentation of music, text, and picture, and that these concepts originate in the fundamental artistic creativity spheres. Burgess' concentric ring model concept envisions growth occurring in a series of concentric rings surrounding the concentric ring model . According to Hoyt's sector model, economic expansion follows transportation corridors.
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The Pine Mountain Ski Jump in Michigan is an artificial ski jump and is one of the highest in the world. It is approximately 200 meters high. Calculate the mechanical energy of a 52-kg jumper if halfway down the ski jump, the jumper has both potential and kinetic energy. At this point, the jumper's speed is 28 m/s.
Answer:
71344 J
Explanation:
From the law of conservation of energy,
Mechanical Energy = Kinetic Energy + Potential Energy
M.E = (mv²/2)+ mgh.................... Equation 1
Where M.E = Mechanical Energy, m = mass, v = Velocity, h = height, g = acceleration due to gravity.
Given: m = 52 kg, v = 28 m/s, h = 100 m (half way down the ski jump)
Constant: g = 9.8 m/s²
Substitute these values into equation 1
M.E = (52×28²/2) + (52×100×9.8)
M.E = 20384+50960
M.E = 71344 J
A 6kg object is lifted to a height of 10m. How much PE does it have?
Answer:
588 J
Explanation:
P.E = mgh
= 6 * 9.8 * 10
= 588 J
if g value is rounded and taken as 10 then answer is 600 J.
2000 J of heat is added to a system and 2500 J of work is done on the system. What is the change in internal energy of the system?
Answer:
The change in internal energy of the system is 500 J.
Answer:500J
Explanation:
Can somebody help I'll give brainliest
Sorry my answer was wrong :P
Temperature is a measure of the average
________________
energy of particles in a substance.
kinetic
Temperature and kinetic energy have a
__________
relationship.
direct
Kelvin, Celsius, and Fahrenheit are three types of
______________
scales.
temperature
What are the units for measuring specific heat?
joules per gram degree Celsius
Which best compares kinetic energy and temperature?
Kinetic energy is energy of motion, while temperature is a measure of that energy in substances.
Temperature is a measure of the average kinetic energy energy of particles in a substance.
Temperature and kinetic energy have a directly proportional relationship.
Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.
The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.
The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.
The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.
Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.
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Temperature is a measure of the average kinetic energy energy of particles in a substance.
Temperature and kinetic energy have a directly proportional relationship.
Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.
The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.
The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.
The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.
Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.
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Given two objects of the same mass but of different sizes, which object has a greater density?
a. the smaller object.
b. the larger object.
c. both objects have the same density.
d. we can't tell.
Given two objects of the same mass but of different sizes, the one that has a greater density is: a. the smaller object
Due to the density of an object is the relation that exist between the mass and the space that the object occupies, if we have two objects with the same mass the one that is going to have a greater density is the smaller object because it occupies less space with more mass.
We can prove it using the density formula to solve the following exercise:
Two objects have a mass of 100 g, and their volume are 20 cm³ and 10 cm³ respectively, what is the density of each one?
The general formula of the density is:
d = m/v
Where:
d= densitym= massv= volumeInformation about the problem:
m = 100 gv1= 20 cm³v2=10 cm³d1=?d2?Applying the density formula we get:
d = m/v
d1 = 100g/20 cm³
d1 = 5g/cm³
d2 = 100g/10 cm³
d2 = 10g/cm³
With the results we can confirm that the object that has the greater density is the smaller, because it has less volume.
What is density?It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
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If I am throwing a bowling ball off a roof and a watermelon off a roof at 30
feet, which object do you think will have more energy?
Answer:
Th ball
Explanation:
What is the speed of sound in air?
Answer:
Around 330 m/s
The speed of sound in air is 343 meters per second
Help me out with this physics please!!!
Answer: It was on between 7 and 7.30 and also between 8 and 8.30 (when the line on the graph goes up only). So it was on for an hour or 60 minutes
how does Newton's third law describe the force affecting a rocket as it descends to
Answer:
Explanation:
Newton's Third Law states that "every action has an equal and opposite reaction". In a rocket, burning fuel creates a push on the front of the rocket pushing it forward. This creates an equal and opposite push on the exhaust gas backwards.
Why do your legs appear shorter when standing in water
a 90 kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0 kg opponent running north with a speed of 3 m/s. if the collision is perfectly inelastic, calculate the speed and direction of the players just after the tackle and determine the mechanical energy lost as results of the collision. account of the missing energy
What is the height of a horizontal projectile if it takes 3 seconds to hit the ground?
a
29.4 m
b
3.0 m
C
44.1 m
d
88.3 m
Answer:
B
Explanation:
Study the image. the wind belts. the earth is shown with points 1 through 4. 1: winds in middle latitudes that originate from high pressure. 2: near the equator, air circulates in an upward direction. 3: subtropical regions with calm winds. 4: winds near poles that blow toward the low pressure areas of the westerlies. which point shows the prevailing westerlies? 1 2 3 4
The point that shows the prevailing westerlies is the wind belt labelled with 1.
What is prevailing westerlies?Prevailing westerlies is the average or normal westerly winds of the middle latitudes.
From the given image of wind belts, 1 represents winds in middle latitudes that originate from high pressure.
Thus, the point that shows the prevailing westerlies is the wind belt labelled with 1.
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Answer:
A. 1
Explanation:
25 points please help
In the chemical reaction CH4 + 2O2 → CO2 + 2H2O, there are reactants on the left of the equation and products on the right. If you count the atoms in the reactants, there are
a. 4 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms
b. 1 carbon atom, 4 hydrogen atoms, and 2 oxygen atoms
c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
d. 4 carbon atoms, 4 hydrogen atoms, and 4 oxygen atoms
Answer:
the answer is A. 4 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms
The number of atoms of each molecule of the reactants is required.
The correct option is c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
The given reaction is
\(CH_4+2O_2\rightarrow CO_2+2H_2O\)
For carbon atoms
The only carbon atom is present in \(CH_4\)
So, 1 carbon atom
The hydrogen atoms are also present is \(CH_4\)
There are 4 hydrogen atoms.
The oxygen atoms present is \(2\times 2=4\)
So, the number of atoms present in the reactants are c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
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True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
Answer:
true
Explanation:
Answer:
true
Explanation:
If the ray is incident on a transparent surface at an angle of 360 and the angle of refraction within the material is 27o, find the refractive index of the material
The refractive index of the material is 0.
When the ray is incident on a transparent surface at an angle of 360 and the angle of refraction within the material is 27°, the refractive index of the material can be determined. The formula for Snell’s law is used to calculate refractive index. It states that: `sin i / sin r = n where i is the angle of incidence, r is the angle of refraction and n is the refractive index`.Snell’s law can be re-arranged to make n the subject of the formula to be: `n = sin i / sin r`Hence, we can calculate the refractive index as follows:
For the incident ray, i = 360° and the angle of refraction within the material, r = 27°.n = sin i / sin r= sin 360°/ sin 27°= 0/1 (since sin 360° = 0)= 0Therefore, the refractive index of the material is 0. T
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Another switch allows one to adjust the magnetic field so that it is either nearly uniform at the center or has a strong gradient. The latter means that the magnitude of the field changes rapidly along the vertical direction near the center. How does this switoh change the current in the two coils?
The switch that adjusts the magnetic field to be either nearly uniform or have a strong gradient will affect the current in the two coils differently.
When the magnetic field is nearly uniform at the center, the current in both coils will remain relatively unchanged. The uniform field will not induce any significant voltage in the coils, so the current will flow through them as usual.
However, when the magnetic field has a strong gradient, the current in the two coils will be affected differently. The rapidly changing field will induce a voltage in the coils according to Faraday's law of electromagnetic induction. This induced voltage will result in a change in the current flowing through the coils. The magnitude and direction of the induced current will depend on the specific characteristics of the coils and the magnetic field gradient.
In summary, the switch that changes the magnetic field from uniform to having a strong gradient will induce a change in the current flowing through the coils due to the induced voltage.
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An object starts at rest and accelerates to a velocity of 8 m/s in a period of 4 s. What is the acceleration of the object?
Answer:
2m/s^2
Explanation:
vf-vi/t
8-0/4
2m/s^2
What is the acceleration of a 7 kg mass if the force of 70 N is used to move it toward the Earth?
Answer:
10 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
m is the mass
f is the force
From the question we have
\(a = \frac{70}{7} = 10 \\ \)
We have the final answer as
10 m/s²Hope this helps you
(b) how long after closing the switch will it take for the stored energy in the solenoid to reach one-half of its maximum value?
\(1.73×10^-5\) s after closing the switch will the current through the inductor reach one-half of its maximum value.
What type of electric current is it?Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.
What is the current flow?While electrons move from negative to positive, current moves from positive to negative. The quantity of electrons that flow through a conductor's cross section in a second defines current. The unit of measurement for current is the ampere, abbreviated "amps." The letter "A" is used to represent amps.
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Calculate the weight in Newtons of a person who has a mass of 69 kg.
What is frequency of a 0.0004 m ultrasonic wave passing through human tissue? Assume speed of sound in human tissue is 1500 m/s. Formula f= v/¥
Given:
the speed of sound in human tissue is
\(v=1500\text{ m/s}\)the wavelength of the wave is
\(\lambda=0.0004\text{ m}\)Required: frequency of the wave.
Explanation:
to find the frequency of the wave we use the relation that is given by
\(f=\frac{v}{\lambda}\)Plugging all the values in the above relation, we get
\(\begin{gathered} f=\frac{1500\text{ m/s}}{0.0004\text{ m}} \\ f=3750000\text{ Hz} \\ f=3.75\text{ MHz} \end{gathered}\)Thus, the frequency of the wave is
\(3.75\text{ MHz}\)assuming there are no crashes, how do you think the speed of the tire with the boy inside will compare to the speed of the empty tire? explain your answer.
Tire with the boy inside will have higher speed than the empty tire.
What is Moment of Inertia ?Moment of inertia is the rotational analogue of mass. It is a measure of inertia to rotational motion. It is the product of mass and square of the distance from axis.
Here,
The body is rolling without any crashes.
We know, v = Rω
i.e, v \(\alpha\) ω
The equation for rotational kinetic energy,
RKE = 1/2 Iω²
The tire with the boy inside will have more value of I than that of the empty tire.
Therefore, the tire with boy inside will have more kinetic energy.
Since RKE \(\alpha\) ω² , the tire with greater rotational kinetic energy will have higher speed.
Hence,
The tire with boy inside will have higher speed than the empty tire.
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