Refer to the attachment for calculations
\({\boxed{\Large{\mathfrak{s=\dfrac{v^2}{4gsin\Theta}}}}}\)
How \(\mu\)gcos\(\Theta\) turned to g\(\sf sin\Theta\)?
Ans:-
\(\\ \sf\longmapsto \mu=tan\Theta\)
Put in expression
\(\\ \sf\longmapsto \mu g cos\Theta\)
\(\\ \sf\longmapsto tan\Theta g cos\Theta\)
\(\\ \sf\longmapsto \dfrac{sin\Theta}{cos\Theta}g cos\Theta\)
\(\\ \sf\longmapsto gsin\Theta\)
As the block is sliding down with constant velocity. Therefore friction force along the slope must be equal to the component of gravity along the slope.
μN = mgsin0
umgcose mgsine
=
μ = tane
When thrown up: Initial Velocity is Vo
Acceleration (both friction and
component of gravity acting downwards the slope as relative motion
is upwards) is µN + mgsin0 = tanmgcose +
mgsin0 = 2mgsin
Final Velocity is zero.
Therefore distance traveled up the incline is:
v² - u² = 2as
⇒ 0-V₂² =2(-2mgsin0)s
S = 4mgsin
Why are there gaps between railway tracks?
~pls help , i have a science exam coming up tmr T-T
Answer:
Hope the below helps!
Explanation:
Metal expands when hot, so the rails expand in the summer.
The gap is provided to allow for this expansion. If no gap is left, the expansion in summer will cause the rails to bend sideways. That will result in train accidents.
P.s - Good luck in the exam tomorrow :)
Rank these hypothetical moons from oldest to youngest based on their cratering. You can assume the moons have never been volcanically active.-a moon with very few craters-a moon completely covered in craters, old and new-a moon partially covered with craters
We can see the moons should be ranked in the following order from oldest to youngest:
A moon completely covered in craters, old and newA moon partially covered with cratersA moon with very few cratersWhat is a moon?A moon is a natural satellite that orbits a planet. Moons are typically much smaller than their parent planets and are held in orbit by the planet's gravity. They come in a variety of sizes and shapes, and can be composed of a wide range of materials, such as rock, ice, or a mixture of both.
Moons play an important role in our solar system. They help stabilize the orbits of planets, contribute to tidal forces, and may even play a role in the formation and evolution of planets themselves.
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what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?
The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.
Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.
Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.
Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.
Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.
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A copper cable is designed to carry a current of 310 A with a power loss of 2.00 W/m. What is the required radius of this cable
The required radius of the copper cable is approximately 4.18 x 10^(-7) meters.
To determine the required radius of the copper cable, we can use the formula for power loss in a wire:
Power Loss (P) = (I^2) * R
Where I is the current flowing through the wire and R is the resistance of the wire.
Given that the power loss per unit length is 2.00 W/m, we can rewrite the equation as:
Power Loss per Unit Length (P/L) = (I^2) * (R/L)
We know that P/L is 2.00 W/m and I is 310 A.
Since the wire is made of copper, we can use the resistivity of copper to find the resistance per unit length (R/L). The resistivity of copper is approximately 1.7 x 10^(-8) Ω·m.
Plugging in the values, we have:
2.00 W/m = (310 A^2) * (R/L)
Solving for R/L, we get:
R/L = (2.00 W/m) / (310 A^2)
Now, to find the required radius, we can rearrange the equation for resistance per unit length:
R/L = ρ / (π * r^2)
Where ρ is the resistivity of copper and r is the radius of the wire.
Plugging in the values for ρ and R/L, we can solve for r:
(2.00 W/m) / (310 A^2) = (1.7 x 10^(-8) Ω·m) / (π * r^2)
Simplifying further, we get:
r^2 = [(1.7 x 10^(-8) Ω·m) / (π)] / [(2.00 W/m) / (310 A^2)]
r^2 ≈ 1.753 x 10^(-13) m^2
Taking the square root of both sides, we find:
r ≈ 4.18 x 10^(-7) m
Therefore, the required radius of the copper cable is approximately 4.18 x 10^(-7) meters.
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multimode fiber is capable of longer transmission distances than single mode fiber.
The given statement "multimode fiber is capable of longer transmission distances than single mode fiber" is incorrect. The multimode fiber is not capable of longer transmission distances than single mode fiber.
What is single mode fiber?
Single mode fiber is the type of fiber optic cable that carries light directly down the fiber. The core diameter of single mode fiber is much smaller than that of multimode fiber. The small core reduces the dispersion of light. Single mode fiber can be used to transmit data over longer distances than multimode fiber because it has a lower attenuation rate.
What is multimode fiber?
Multimode fiber is the type of fiber optic cable that carries light down the fiber in many modes. In multimode fiber, the diameter of the core is large and is measured in 50 to 100 microns. Multimode fiber is used for short-distance communication. The data transmission rate is slower, but the larger core allows for a higher bandwidth than single mode fiber.Multimode fiber is less expensive than single mode fiber, but it has a shorter transmission distance. In contrast, single mode fiber is more expensive but offers longer transmission distances due to its low attenuation rate.
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What evidence supported the inflation theory? (the big bang theory one pls)
Answer:
The comic microwave background
Explanation:
The cosmic microwave background is said to be part of the remnant of the Big Bang that happened which resulted in the formation of the universe. This is because the universe was thought to be a very hot place which resulted in the expansion of it.
The heat was said to have resulted in the cooling of gases present and the remnant of the heat is what formed the radiation called the cosmic wave background.
A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher
investigate whether substances are basic?
A. Test each substance with red litmus paper.
B. Test each substance with blue litmus paper.
C. Observe each substance and record its color.
D. Mix each substance with a weak base and record the results.
Answer:
a
Explanation:
because red litmus paper turn blues under base or alkaline condition
For a given mass of a gas at a constant temperature, if the volume,′ V′ becomes three times then pressure P will become: a. 3Pb. P/3c. 3P/Td. 9P
According to Boyle's law, the pressure of a gas is inversely proportional to its volume at constant temperature. The correct answer is Option: (b).
If the volume of a gas at a constant temperature becomes three times larger, the pressure of the gas will decrease to the one-third of its initial value. Thus, the correct answer is Option: (b) P/3. This relationship can be mathematically represented as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the new pressure and volume, respectively. Therefore, if V2 = 3V1, then the P2 = P1/3.
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jack and jill exercise in a 25.0 m long swimming pool. jack swims 9 lengths of the pool in 153.9 s (2 min and 33.9 s) , whereas jill, the faster swimmer, covers 10 lengths in the same time interval. find the average velocity and average speed of each swimmer. jack's average velocity: 1.46 m/s jack's average speed: m/s jill's average velocity: m/s jill's average speed:
The average velocity and average speed of each swimmer (Jack and Jill exercise in a 25.0 m long swimming pool):
1. Jack
Average velocity = 0.162 m/s
Average speed = 1.46 m/s
2. Jill
Average velocity = 0 m/s
Average speed = 1.62 m/s
The amount of distance an object travels in a given amount of time is measured as velocity. Here's a word equation that expresses the relationship between time, distance, and velocity:
Distance traveled divided by time to arrive equals velocity.
Jack's speed = (9 x 25.0) / (2 min and 33.9 s)
= 1.46 m/s
Jill's speed = (10 x 25.0) / (154.5 s)
= 1.62 m/s
Jack's displacement = 25 meters
Hence,
Jack's velocity = (25 / 154.5) = 0.162 m/s
Jill's displacement = 0 meters
Jill's velocity = 0 / 154.5
= 0
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Why are houses in hot areas painted in white while those in cold areas painted with dull colours
Answer:
Because white color reflects back the heat coming from the sun while dull colors absorb the heat.
Content. Place a "T" in the blank of all true statements. Leave empty the blanks of false statement. 1. Thermohaline circulation produces the increase in oxygen content observed below the oxygen minimum zone. 2. As a wave enters shallow water, wavelength, celerity and stability decrease, height increases and period is unchanged. 3. With increasing depth, current velocity declines but Coriolis deflection increases. 4. Swells only begin to form when celerity exceeds wind speed. 5. Internal seiches and surface seiches always rock in unison because they occur in the same body of water. 6. Wave set-up is always greater in bays than headlands because bays funnel the waves toward the shoreline. 7. The trade winds are easterlies winds and they generate westerly ocean currents.
1. T
2.
3. T
4. T
5.
6.
7.
True (T): Thermohaline circulation refers to the global ocean circulation driven by differences in temperature and salinity. This circulation helps transport oxygen-rich surface waters to deeper layers, contributing to the increase in oxygen content observed below the oxygen minimum zone.
False (): When a wave enters shallow water, the wavelength decreases, but the wave height increases. The celerity (phase speed) of the wave also decreases, and the wave period (time between successive wave crests) may change depending on the specific conditions.
True (T): As depth increases, the friction between the water and the seafloor slows down the current velocity. However, the Coriolis deflection, caused by the rotation of the Earth, increases with depth, leading to a change in the direction of the current.
True (T): Swells are long-period waves that have traveled out of their generating area. They typically form when the wind speed exceeds a certain threshold and generates waves with a celerity (phase speed) greater than the wind speed. Once formed, these swells can travel long distances across the ocean.
False (): Internal seiches and surface seiches are oscillations in a body of water caused by changes in atmospheric pressure, wind, or other factors. Internal seiches occur within density stratifications or layers within the water column, while surface seiches occur at the air-water interface. They can have different rocking patterns and may not always occur in unison.
False (): Wave set-up refers to the increase in wave height as waves approach the shoreline. While bays can cause waves to refract and focus, leading to increased wave height in some cases, the statement that wave set-up is always greater in bays than in headlands is not universally true. It depends on various factors, including the geometry and bathymetry of the bay or headland.
False (): The Trade winds are easterly winds that blow from the subtropical high-pressure belts toward the equator. These winds generate ocean currents that generally flow from east to west, parallel to the equator. Therefore, the statement that they generate westerly ocean currents is incorrect.
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***Please help! Urgent***
1.) How can you calculate the mechanical advantage a simple machine provides?
• simple machines do not provide a mechanical advantage
• divide the output force by the input force
•divide the output displacement by the input displacement
•divide the output force by the output displacement
2.) How can a simple fixed pulley make a job easier?
•by changing the direction at which the force needs to be applied
•by decreasing the force required to lift the object
•by decreasing the work done
•by decreasing the distance that the force needs to be applied
3.) A pulley system has a mechanical advantage of 3, and an object weighing 9 Newtons must be lifted 15 meters. How much force must be applied to lift the object? Use the following equation to find the answer:
(Picture attached)
• 3N
•1.7N
•0.3N
•27N
4.) How is the work theorem represented as an equation?
•ΔW = ΔE
• W = E
• ΔW = E
• W = ΔE
5.) A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and the work done is 216 Joules. How much force is applied?
•8N
•9N
•72N
•81N
determine the number of significant figures in 00.6022009
The number of significant figures in 00.6022009 is 7 .
The number of significant figures is 7.
Explanation:
Significant figures
The figures in a number that expresses the magnitude of a quantity to a specific degree of accuracy are known as significant digits.Digits from 1 to 9 are always significant and have an infinite number of significant figures.All non-zero numbers are always significant. For example, 684, 9.54, and 63.4 all have three significant figures.All zero’s between integers are always significant. For example, 2005, 8.005, and 10.05 all have four significant figures.All zero’s preceding the first integers are not significant. For example, 0.0038 has two significant figures.All zero’s after the decimal point are always significant. For example, 4.500, 43.00, and 950.0 all have four significant figures.All zeroes used solely for spacing the decimal point are not significant. For example, 6000 has one significant figure.Given :
The number 00.6022009
To find:
The number of significant figures in the number.
Solution
00.6022009
All zero’s preceding the first integers are not significant.
Zeros in between the integers are significant
So, the number of significant figures is 7.
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b) The ice cube melting on the nonconducting plate
Is it conduction,convention, or radiation thermal energy
Answer:I think it’s convection
Explanation:
A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
The distance between the Naval Navigator and the sunken cargo was found to be 2175 m by using sonar with 120kHz frequency and a wavelength of 3mm.
What is the purpose of sonar?Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Sonar comes in active and passive varieties.
Speed of sound in water =1450m/s
Time lag between transmission and reception of Sonar waves =3 s
sound waves travel a distance is twice the distance between the navigator and cargo (2S) in this time lag.
Time taken for the sound to reach the submarine = 1/2 ×3 = 1.5s
Distance between the Navigator and the sunken cargo, S=1450×1.5s =2175m.
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if microwave radiation outside an oven has the maximum value, what is the amplitude of the oscillating electric field?
The amplitude of the oscillating electric field in microwave radiation outside an oven depends on various factors, including the power output of the microwave oven and the distance from the source.
Microwave radiation is a form of electromagnetic radiation that consists of electric and magnetic fields oscillating perpendicular to each other and propagating through space. The electric field component of the microwave radiation is responsible for interacting with and heating the molecules in the food inside the oven.
In terms of the amplitude of the oscillating electric field, it is typically measured in units of volts per meter (V/m). The exact value of the amplitude can vary depending on the specific circumstances.
To provide a more accurate answer, it would be helpful to have additional information, such as the power output of the microwave oven or the specific situation you are referring to.
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What is the best description of one billiard ball hitting a second billiard ball? (
Most of the kinetic energy in the first ball is transferred to the second ball.
Kinetic energy in the second ball is transferred to the first ball.
All of the kinetic energy in the first ball is transferred to the second ball.
Potential energy is transferred from the first ball to the second ball.
The best description of one billiard ball hitting a second billiard ball is all of the kinetic energy in the first ball is transferred to the second ball.
third option is the correct answer.
What is principle of conservation of linear momentum?
The principle of conservation of linear momentum states that in a closed or isolated system, the total momentum of the system is always conserved.
Mathematically, the formula for the conservation of linear momentum is given as;
P1 = P2
m₁u₁ = m₂u₂
where;
m₁ is the mass of the first billiard ballm₂ is the mass of the second billiard ball'u₁ is the speed of the first billiard ball'u₂ is the speed of the second billiard ballBased on the law of conservation of linear momentum, the total momentum of the first billiard ball will be transferred to the second billiard ball.
Also, based on the law of conservation of energy, the kinetic energy of the first billiard ball will be converted into kinetic energy of the second billiard ball.
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Answer:
A
Explanation:
It is a i am taking the test an im sureee:))
-. A 2000 kilogram (kg) weather satellite is orbiting Earth. The satellite
takes pictures of Earth to help forecast weather. At what altitude,
in kilometers (km), would the strongest gravitational force be
acting on the satellite while it orbits Earth?
F. 10 000 km
G. 15 000 km
H. 30 000 km
I. 40 000 km
Answer:
H
Explanation:
I think it's H hope that helps
explain what the net effect of the sodium-potassium pump is.
The net effect of the sodium-potassium pump is to create a transmembrane electrical potential.
Sodium-potassium pump is a process in which sodium ions (Na+) are transported out of the cell while potassium ions (K+) are transported into the cell. The net effect of this process is that there is a greater concentration of K+ ions inside the cell and a greater concentration of Na+ ions outside the cell.
This creates an electrochemical gradient across the cell membrane. This gradient is what allows cells to carry out a variety of functions such as transmitting signals and carrying out metabolic processes. The electrochemical gradient is also what drives the movement of other molecules across the cell membrane.
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Can anyone help me out with conservation of energy
Answer:
Whenever energy gets transformed, the total
energy remains unchanged. This is the law of
conservation of energy. According to this law,
energy can only be converted from one form
to another; it can neither be created nor
destroyed. The total energy before and after
the transformation remains the same.
if a toaster has 12 ohms of resistance in a 120 volt circuit, the amount of current in the circuit will be ____Amps.
Given data
*The given resistor is R = 12 ohms
*The given voltage is V = 120 V
The formula for the current flows in the circuit is given as
\(I=\frac{V}{R}\)Substitute the values in the above expression as
\(\begin{gathered} I=\frac{120}{12} \\ =10\text{ A} \end{gathered}\)Thus, the amount of current flows in the circuit is I = 10 A
a. A man of 100 kg mass is standing on the surface of the earth of mass 6 × 1024 kg and
radius 6400km. Calculate the gravitational force between them. [Ans: 977.05 N]
Answer:
m1=100kg
m2=6×10^24kg
r=6400km
G=6.6×10^-11
F=?
as we know that
F=G m1.m2/r²
F=6.6×10^-11×100×6×10^24/(6400)²
F=6.6×10^-11×6×10^26/4.096×10^7
F=6.6×10^-11×1.465×10^19
F=9.67×10^8N
Newton’s second law: The acceleration (a) of an object is directly proportional to the force on the object (F) and inversely proportional to its mass (m).
F < The greater the force, the greater the acceleration
a = -- OR F=ma
M< The greater the mass the less the acceleration
Answer:
there is the answer
Explanation:
Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.
. If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 26m/s, how far would she travel during this race?
The distance the bicyclist would travel during the time of the race is 32.5 m.
What is the distance travelled by the bicyclist?
The distance the bicyclist would travel during the time of the race is calculated by applying the following formula as shown below.
s = ( v + u ) / 2 x t
were;
u is the initial velocity of the bicyclistv is the final velocity of the bicyclistt is the time of motion of the bicyclistThe distance travelled by the bicyclist is calculated as follows;
s = ( 0 m/s + 26 m/s ) / 2 x ( 2.5 s )
s = 32.5 m
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The complete question is below:
If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 26m/s, how far would she travel during this race if the total time is 2.5 seconds?
A 5 Kg bowling ball is thrown at a stationary 1.6 Kg bowling pin at 5 m/s. If the final velocity of the ball is 2.5 m/s. The final velicoty of the bowling pin is _____m/s.
Answer: hope this helps
Explanation:
If the final velocity of the ball is 2.5 m/s, the final velocity of the bowling pin is 7.8125 m/s.
What is principle of conservation of momentum?According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
According to the principle of momentum conservation, total momentum of an system remains conserved.
Total initial momentum = total final momentum
5 kg × 5 m/s + 1.6 kg × 0 m/s = 5 kg × 2.5 m/s + 1.6 kg × v
1.6 kg × v = 5 kg × 5 m/s - 5 kg × 2.5 m/s
v = (5 kg /1.6 kg) (5 m/s - 2.5 m/s)
= 7.8125 m/s
Hence, If the final velocity of the ball is 2.5 m/s, the final velocity of the bowling pin is 7.8125 m/s.
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FOR STUDY ISLAND: Objects that stop the flow of electricity are good insulators. Which of the following materials would be the best insulator for an electrical wire?
A.
aluminum pipes
B.
copper wire
C.
plastic tubing
D.
water
Answer: It would be; A/B
how many gates control flow of na+ though voltage-gated na+ channels?
Voltage-gated sodium (Na+) channels have three gates that control the flow of Na+ ions: the activation gate, the inactivation gate, and the selectivity filter.
Voltage-gated sodium (Na+) channels have three gates that control the flow of Na+ ions: the activation gate, the inactivation gate, and the selectivity filter. The activation gate is responsible for opening and closing the channel in response to changes in membrane potential, allowing the influx of Na+ ions into the cell during depolarization. The inactivation gate is a separate region of the channel that closes shortly after the activation gate opens, preventing further Na+ influx and contributing to the repolarization phase of the action potential. The selectivity filter ensures that only Na+ ions can pass through the channel and not other ions. Therefore, all three gates work together to control the flow of Na+ through voltage-gated Na+ channels.
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Approximately where is the Sun in terms of its total lifetime?
A. It is about halfway through its life.
B. It is only 1/10 of the way through its life.
C. It is about 3/4 of the way through its life.
D. It is about 1/4 of the way through its life.
The Sun is approximately 3/4 of the way through its lifetime.
The Sun is a main-sequence star, meaning it is in the middle stage of its life cycle. Stars like the Sun undergo nuclear fusion, where hydrogen atoms fuse to form helium and release energy. This fusion process provides the Sun with the energy to shine.
Based on current scientific understanding, the Sun is estimated to have a total lifetime of about 10 billion years. It is currently around 4.6 billion years old, which means it has already passed the quarter mark of its lifetime.
As the Sun continues to burn hydrogen in its core, it will gradually undergo changes. Over time, it will exhaust its hydrogen fuel and start to expand into a red giant, eventually shedding its outer layers and forming a white dwarf.
Therefore, considering the Sun's age and estimated total lifetime, it is believed to be approximately 3/4 of the way through its life. However, it's important to note that estimating the exact lifespan of a star is complex, and our understanding may evolve with further research.
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The Sun is approximately 3/4 of the way through its lifetime.The Sun is a main-sequence star, meaning it is in the middle stage of its life cycle. Stars like the Sun undergo nuclear fusion, where hydrogen atoms fuse to form helium and release energy. This fusion process provides the Sun with the energy to shine.
Based on current scientific understanding, the Sun is estimated to have a total lifetime of about 10 billion years. It is currently around 4.6 billion years old, which means it has already passed the quarter mark of its lifetime.
As the Sun continues to burn hydrogen in its core, it will gradually undergo changes. Over time, it will exhaust its hydrogen fuel and start to expand into a red giant, eventually shedding its outer layers and forming a white dwarf.
Therefore, considering the Sun's age and estimated total lifetime, it is believed to be approximately 3/4 of the way through its life. However, it's important to note that estimating the exact lifespan of a star is complex, and our understanding may evolve with further research.
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The Weight of an object is more at pole and less at equator of the earth. Give reason
The Weight of an object is more at pole and less at equator of the earth because the distance of the pole is less than the distance of the equator from the centre of the earth.
The speed of sound is 0.2 miles per second. If you observe a lightning flash and count 25 seconds, how far away was the lightning strike?
-0.015 miles
-5 miles
-15 miles
-125 miles
The lightning strike was approximately 5 miles away.
What is the estimated distance of the lightning strike?Observing a lightning flash and counting 25 seconds allows us to determine the distance of the lightning strike.
Since the speed of sound is approximately 0.2 miles per second, we can calculate the distance by multiplying the speed of sound by the time it took for the sound to reach us.
In this case, multiplying 0.2 miles per second by 25 seconds gives us a distance of 5 miles. Therefore, the lightning strike was approximately 5 miles away from our observation point.
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