the half-life of the radioactive element is approximately 8.56 seconds.
The formula for radioactive decay is given by
\(N = N_oe^{(-λt)}\)
The half-life of a radioactive element is calculated using the formula given below: t1/2 = (ln 2) / λ
Given, the radioactive element has diminished by 7/8 of its original amount in 30 seconds.
This means the amount remaining after 30 seconds is 1/8 of the original amount.
N / N₀ = 1/8 = e^(-λt)
We know that N₀ / N = 8.
Therefore, 8 = e^(-λt)
Take the natural logarithm of both sides: ln 8 = ln (e^(-λt))
This can be simplified as follows:
ln 8 = -λt ln e => ln 8 = -λt
Solve for λ by dividing both sides by -t:
λ = (ln 8) / (-t)
Substitute t = 30 s and simplify:
λ = (ln 8) / (-30)λ
= -0.0807...t1/2 = (ln 2) / λ
= (ln 2) / (0.0807...)
≈ 8.56 s
Therefore, the half-life of the radioactive element is approximately 8.56 seconds.
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A car traveling at 5m/s starts to speed up after 3 seconds its velocity has increased to 11 m/s what is its acceleration
Answer:
a=(v-u)/t
Explanation:
a =(11-5)/3
a= 8/3
a= 2.6 m/s
The acceleration of the car is 2 m/s².
What is acceleration?Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Acceleration is a vector quantity with and SI unit of it is meter/second².
Given parameters:
Initial speed of the car: u = 5 m/s.
Final speed of the car: v = 11 m/s.
Time interval: t = 3 second.
Change is speed = final speed - initial speed
= 11 m/s - 5 m/s
= 6 m/s.
Hence, its acceleration is = change in speed / time interval
= 6/3 m/s²
= 2 m/s².
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Electrons move from negative to positive while the voltage flows ________ to _______ .
Answer:
positive to negative.
Predict what would happen to the volume of a gas if the pressure on that gas were doubled and then the absolute temperature of that gas were doubled.
The new volume of the gas will remain the same.
Data obtained from the question Initial pressure (P₁) = PInitial temperature (T₁) = TInitial volume (V₁) = VNew pressure (P₂) = 2PNew temperature (T₂) = 2TNew Volume (V₂) =? How to determine the new volumeThe new volume of the gas can be obtained by using the combined gas equation as illustrated below:
P₁V₁ / T₁ = P₂V₂ / T₂
(PV) / T = (2P × V₂) / 2T
Cross multiply
T × 2P × V₂ = PV × 2T
2PT × V₂ = 2PVT
Divide both side by 2PT
V₂ = 2PVT / 2PT
V₂ = V
Thus, the new volume will remain the same
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What is the medium for the waves in the photograph?
O A. Leaves
O B. Water
O C. Stones
O D. Air
Unlike Electromagnetic waves, Mechanical waves need a to
transfer energy
WILL MARK BRAINLIEST
If force is the same which of Newton's Laws of Motion causes the female skater (less mass) to accelerate more?
1. newtons first law
2. newtons second law
3. newtons third law
The answer is 2. Newton's Second Law.
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it is represented as:
a = F/m
where a is the acceleration, F is the net force, and m is the mass of the object.
In this scenario, both the male and female skaters experience the same force (F). However, since the female skater has a smaller mass (m), her acceleration (a) will be greater according to the equation. This is because when the mass (m) is smaller and the force (F) is constant, the resulting acceleration (a) will be larger.
In summary, Newton's Second Law of Motion explains why a female skater with less mass will accelerate more when the force applied is the same. Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
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What is the measure of angle e? m∠e = ° what is the length of ef rounded to the nearest hundredth? ef ≈
The Measure of angle E is 55° and Length of the side EF is 12.49 units
The diagram is missing in the question and hence the diagram is shown below!!!
Given the triangle EDF with angle measures ∠D = 43° and ∠F = 82°.
As, we know, The sum of the measures of angles in a triangle is 180°.
So, we have,
∠E + ∠D + ∠F = 180°
i.e. ∠E + 43° + 82° = 180°
i.e. ∠E = 180° - 125°
i.e. ∠E = 55°
Thus, the measure of angle E is 55°.
Further we have
15/sin55 = EF / sin43
∴ EF = 15*sin43/sin55
∴EF = 10.23/0.189
EF = 12.49 units
Hence the length of side of EF is 12.49 units
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Please give the person above me brainliest!!!
✔ 55
✔ 12.49
TRUE / FALSE. the physician skips hand-washing because she’s in a hurry and just washed her hands in the previous patient visit.
The statement "the physician skips hand-washing because she’s in a hurry and just washed her hands in the previous patient visit" is false.
The physician should not skip hand-washing, even if they have recently washed their hands in the previous patient visit. Hand-washing is a critical practice to prevent the spread of infections and ensure patient safety.
Each patient interaction presents a new opportunity for potential cross-contamination and the transmission of pathogens. Even if the physician recently washed their hands, they should still follow proper hand hygiene protocols, including washing hands with soap and water or using hand sanitizer, before and after each patient encounter.
Hand-washing should be performed regardless of time constraints or previous hand hygiene practices.
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If friction is ignored and the ball is dropped, it experiences a gain in ____ and a decrease in ___. Question 8 options: kinetic energy; potential energy potential energy; kinetic energy thermal energy; potential energy potential energy; thermal energy
Answer:
My answer is when the ball is going it experience kinetic energy which is the energy of a moving object while when the ball has stopped then it will have potential energy which means it's at rest so for the ball not to experience friction then there is a gain in kinetic energy and decrease in potential energy.
Answer:
Gain in Kinetic energy and decrease in Potential energy.
Explanation:
What is kinetic energy ?The energy possessed to a body due to its motion is called kinetic energy.
K = \(\frac{1}{2} .m.v^{2}\)
What is potential energy ?The energy possessed to a body due to its position is called potential energy.
\(U =mgh\)
As the falls , due to pull of the Earth its velocity increase thus its kinetic energy also increases .As it falls , its height decrease from the Earth thus potential energy decrease.Hence in free fall , the ball experiences gain in kinetic energy and decrease in potential energy.
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what does the scientific unit named for sir isaac newton measure?
The scientific unit named for Sir Isaac Newton measures force.
What is the quantity measured by the scientific unit named after Sir Isaac Newton?The scientific unit named after Sir Isaac Newton is the newton (N), and it is used to measure force. Force is a fundamental concept in physics that describes the interaction between objects and their ability to cause acceleration or deformation.
The newton is defined as the amount of force required to accelerate a one-kilogram mass at a rate of one meter per second squared (1 N = 1 kg·m/s²). It represents the strength or magnitude of a force and is widely used in various fields, including mechanics, engineering, and everyday life.
Whether it's the force exerted by gravity, the push or pull of objects, or the tension in a spring, the newton provides a quantitative measure for these physical interactions.
The newton is the unit of measurement for force in the International System of Units (SI). It is named after Sir Isaac Newton, a renowned physicist and mathematician who made significant contributions to the understanding of classical mechanics and the laws of motion.
Newton's second law of motion, F = ma (force equals mass times acceleration), is a foundational equation in physics and relates force to the mass and acceleration of an object.
The newton is defined based on this relationship and is used to quantify the effect of forces on objects. Understanding the newton and its application in measuring force is essential in various scientific and engineering disciplines.
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NASA's Langley Research Center has been experimenting with the use of air bags to soften the landings of crew exploration vehicles (CEV) on land. What stopping time will be required in order to safely stop a 7250 kg CEV moving at 7.65 m/s with an average force of 426000 N (an average force of 6 G's)
The stopping time will be 0.13 second required in order to safely stop a CEV .
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
The average force acting on CEV is = 426000 N.
Mass of the CEV is = 7250 kg.
Initial speed of the CEV is = 7.65 m/s
Hence, deceleration of the CEV is = ( 426000 N ÷ 7250 kg) = 58.75 m/s²
Hence, required stopping time = 7.65 m/s ÷ 58.75 m/s² = 0.13 second.
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Calculate the current produced if a 12-volt battery supplies 6 watts of power
The current produced by a 12-volt battery supplying 6 watts of power is 0.5 amperes.
To calculate the current produced by a 12-volt battery supplying 6 watts of power, we can use the formula:
current = power / voltage
Substituting the given values:
current = 6 watts / 12 volts
Simplifying the expression:
current = 0.5 amperes
Therefore, the current produced by the battery is 0.5 amperes.
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The current produced by a 12-volt battery supplying 6 watts of power is 0.5 amperes.
To calculate the current produced by a 12-volt battery supplying 6 watts of power, you can use Ohm's Law, which states that the current (I) is equal to the power (P) divided by the voltage (V):
I = P / V
Substituting the given values:
P = 6 watts
V = 12 volts
I = 6 watts / 12 volts
I = 0.5 amperes (A)
Therefore, the current produced by the 12-volt battery supplying 6 watts of power is 0.5 amperes.
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Makenzie is getting ready for Halloween by sorting candy beside an open window. By accident, she drops a Snickers bar out the window, and before she can retrieve it a squirrel grabs the bar! If the snickers bar takes 0.808 seconds to fall from the window to the ground, how high was the window?
Answer:
3.14 meters high.
Explanation:
To calculate the height of the window, we can use the formula for the distance an object falls due to gravity:
d = 1/2 * g * t^2
where d is the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes to fall.
In this case, we know that the Snickers bar took 0.808 seconds to fall. Plugging in these values, we get:
d = 1/2 * 9.8 m/s^2 * (0.808 s)^2
d = 3.14 meters
Therefore, the window was approximately 3.14 meters high.
Initial State: An 8-month old child is at rest at the bottom of a staircase.
Final State: The child is at rest at the top of the staircase.
Notes The system includes the child and earth. The child uses the steps to slowly crawl up the stairs.
Answer:
9 years old and he/she crawl like at 2 years old
Sinuosoids on the plane have four basic features: amplitude, period, phase shift (sometimes called horizontal shift), and vertical shift (sometimes represented by the equation of the sinusoid's midline). Below is the graph of a particular sinusoid which is the graph of the function f(x). (Cilick on a graph to eniarge it) Using the graph, determine the amplitude, period, phase shift and midline for the above f(x).. Note, phase shift is sometimes called horizontal shift. Also, the midline should be written as an equation not just a numerical value. Amplitude Period Phase shift Midline Using the trig function sin(x), find an equation for the graph of f(x).. For example, y=5sin(6x−7)+22.
The amplitude of the function is 5/2Period. The phase shift is Phase shift is π/2Midline and the midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as:f(x) = (5/2) sin (x - π/2) + 2
The amplitude, period, phase shift and midline of the given function f(x) is given below:
The given sinusoidal function oscillates between -5 and 5, which is a distance of 5 from the center line.
The amplitude is half of the distance between the minimum and maximum values, which is 5/2.
Hence the amplitude of the function is = 5/2Period:
The distance between the peaks on the graph of the given sinusoidal function is 4.
Hence the period of the function is Period = 4Phase shift:
The standard position of the graph of sin(x) is y = sin(x) where the graph passes through the origin (0,0).
The given function is also sin(x) shifted to the right by π/2 units.
Hence the phase shift is Phase shift = π/2Midline:
The midline is the average value of the function. For the sine function, the midline is y = 0.
The midline of the given function f(x) is Midline = 2Using the trig function sin(x), the equation for the graph of f(x) can be written as :f(x) = (5/2) sin (x - π/2) + 2
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high voltage is usually considered anything over about 600 ___.
High voltage is usually considered anything over about 600 volts.
In electrical systems, high voltage typically refers to voltages exceeding approximately 600 volts. This threshold is widely recognized as the point where extra precautions and specialized equipment are necessary to ensure safety. High voltage levels pose greater risks of electrical shock, arc flash hazards, and insulation breakdown. Therefore, strict safety measures, such as enhanced insulation, specialized personal protective equipment (PPE), and isolation techniques, are required when working with or around high-voltage systems. These measures aim to protect individuals from potential dangers associated with the increased electrical potential and mitigate the risks associated with high-voltage electrical energy.
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A ice skaters partner carries her across the ice a distance of 3m. Is work done or no work done please help me
Answer:
I believe work has been done
Explanation:
a motorcycle traveling 100m/s drives off a horizontal ramp and lands a horizontal distance of 40m away from the edge of the ramp, what is the height of the ramp?
We will have the following:
First, we determine the time it takes for the motorcycle to traverse the 40 m:
\(40m=(100m/s)t\Rightarrow t=0.4s\)Now, we will use the time to determine the height of the ramp:
\(\begin{gathered} d=(0m/s)(0.4s)+\frac{(9.8m/s^2)(0.4s)^2}{2}\Rightarrow d=\frac{98}{125}m \\ \\ \Rightarrow d=0.784m \end{gathered}\)So, the ramp was located 0.784 meters in height.
which structure is larger cell, organ , multicellular or cell structure
Answer:
organ is larger cell..............
Answer:
organ
Explanation:
When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s, what is the angular velocity in revolutions per minute?
When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s, the angular velocity in revolutions per minute would be 1989 rev/minute.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. The velocity of an object depends on the magnitude as well as the direction of the object.
velocity = total displacement /time
As given in the problem When a fan is switched on, it achieves an angular acceleration of 250 rad/s2. after 1.2 s,
By using the equation of motion for the rotational motion,
α = ω₀ + ωt
250 = 1.2 ω
ω = 250/1.2
= 208.33 rad/s
2π radian = 1 revolution
1 radian = 1/2π revolution
208.33 rad = 208.33 /2π revolution
=33.15 revolution
The number of revolutions in one minute = 33.15 ×60
=1989
Thus, the angular velocity comes out to be 1989 rev/minute.
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Initial State: A child in a swing is in motion at the lowest point along its arc.
Final State: The child has reached the highest point along its arc.
Notes: The system includes the child and the Earth. Resistance forces are
negligible.
At the lowest point of the swing's arc, the child's mechanical energy is at its maximum. This is because the child has both kinetic energy due to their motion and potential energy due to their height above the ground.
How to explain the informationAs the child swings upward, their kinetic energy decreases while their potential energy increases.
At the highest point of the swing's arc, the child momentarily comes to a stop before reversing direction. At this point, their kinetic energy is zero because they have no motion. The child's potential energy is at its maximum because they have reached the highest point of the swing.
During this transition from the lowest point to the highest point, the energy is conserved, assuming negligible resistance forces.
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Initial State: A child in a swing is in motion at the lowest point along its arc.
Final State: The child has reached the highest point along its arc.
Notes: The system includes the child and the Earth. Resistance forces are negligible.analyze the scenario of a child in a swing transitioning from the lowest point to the highest point along its arc
How many times more gravitational potential energy would the same lander have on top of a 350-m hill on Earth? It would have times more gravitational potential energy
Answer:
6
Explanation:
Just did it.
The gravitational potential energy would the same lander have on top of a 350-m hill on Earth is 6.
What is gravitational potential energy?If an object is lifted, work is done against gravitational force. The object gains energy.
The equation for calculating gravitational potential energy is
GPE =mgh
where, GPE is the gravitational potential energy, m is the mass, h is the change in height and g is the acceleration due to gravity.
The heavier the particle and the higher it is over the ground, the more gravitational potential energy it holds. Gravitational potential energy increments as weight and level increments.
Given is the height of hill h = 350m.
Thus, the same lander will have the the potential energy 6 times more.
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A 55 kg boy running at 2.0 m/s jumps onto a 2.0 kg skateboard. Calculate the
final velocity of the boy and the skateboard.
Answer:
The velocity of the boy and the skateboard is 24
What is the impulse experienced by a 24kg dog as he speeds up from 2m/s to 6m/s
Given
m = 24kg
vi = 2 m/s
vf = 6 m/s
Procedure
Impulse = Change in momentum
\(\begin{gathered} I=m\Delta v \\ I=m(v_f-v_i) \\ I=24\cdot(6-2) \\ I=96\operatorname{kg}m/s \end{gathered}\)The answer would be I = 96 kg*m/s
018 (part 1 of 2) 10.0 points A jet aircraft is traveling at 232 m/s in horizontal flight. The engine takes in air at a rate of 117 kg/s and burns fuel at a rate of 4.8 kg/s. The exhaust gases are ejected at 723 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N. 019 (part 2 of 2) 10.0 points Find the delivered power. Answer in units of W.
The thrust of the jet engine is 59804 N and the delivered power is 1.388 MW.
What is thrust?Thrust is defined as the amount of effort required to move an airplane through air that is resisting its passage called drag. Newton's Second and Third Laws could be used to quantitatively explain the reaction force of thrust.
Given
Speed = 232 m/s
Air intake =117 kg/s
Fuel burn rate = 4.8 kg/s
Speed of exhaust gas = 723 m/s
Rate of mass change = 117 kg/s + 4.8 kg/s
= 121.8 kg/s
Thrust T = 121.8 x 723 - 121.8 x 232
Thrust T = 88061.4 - 28257.6
Thrust T = 59804 N
Delivery power = 232 x 59804
Delivery power = 1.388 MW
Thus, the thrust of the jet engine is 59804 N and the delivered power is 1.388 MW.
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Object A is a conductor. It has a negative charge. It is touched to the ground. When the ground is pulled away, what charge does Object A have?
After touching a negatively charged conductor to the ground, the excess electrons flow from the conductor to the ground, neutralizing it. When the ground is pulled away, the conductor retains its original negative charge.
In physics, a conductor is a material that allows the flow of electric current through it. In conductors, the outermost electrons of the atoms are loosely bound and can move easily from one atom to another, creating a flow of electricity. Metals, such as copper and aluminum, are excellent conductors due to their low resistance to the flow of electric charge. Other materials such as electrolytes, graphite, and some solutions can also conduct electricity.
Conductors are essential components in electrical circuits and are used in a wide range of applications, including power transmission, electronics, and lighting. They are also used in electrical grounding systems to protect buildings and equipment from electrical damage caused by lightning strikes or power surges.
Conductors can be charged positively or negatively by gaining or losing electrons. When a negatively charged conductor is touched to the ground, the excess electrons will flow into the earth, neutralizing the charge on the conductor. When the ground is removed, the conductor will have the same negative charge it had before being grounded.
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The speed of light in cubic zirconia
is 1.39*10^8 m/s. What is the
index of refraction for cubic
zirconia?
The index of refraction for the cubic zirconia at the given speed of light is 2.16.
The given parameters:
Speed of light in Cubic zirconia, v = 1.39 x 10⁸ m/sSpeed of light in air, c = 3.0 x 10⁸ m/s.The index of refraction for the cubic zirconia is the ratio of the speed of light in air to speed of light in cubic zirconia and it is calculated as follows;
\(\eta = \frac{c}{v} \\\\\eta = \frac{3\times 10^8}{1.39 \times 10^8} \\\\\eta = 2.16\)
Thus, the index of refraction for the cubic zirconia at the given speed of light is 2.16.
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What is the speed of a jet plane that flies 7200 km in 9 hours (in km/hr)?
Explanation:
800 km per her because you have to divide 7200 by 9
Answer:
800 km/hr
Explanation:
7200 km divided by 9 hr=800 km/hr :)
how long does it take, in minutes, for light to reach saturn from the sun, a distance of 1.472×109 km?
It takes approximately 81.8 minutes for light to travel from the Sun to Saturn, covering a distance of 1.472×10^9 kilometers.
Light travels at a constant speed of approximately 299,792 kilometers per second in a vacuum. To calculate the time it takes for light to reach Saturn from the Sun, we can divide the distance between them by the speed of light.
The distance from the Sun to Saturn is approximately 1.472×10^9 kilometers. Dividing this distance by the speed of light gives us:
Time = Distance / Speed = 1.472×10^9 km / 299,792 km/s
To convert this into minutes, we need to convert the seconds to minutes. There are 60 seconds in a minute, so:
Time (in minutes) = Time (in seconds) / 60
Let's calculate the time:
Time (in seconds) = 1.472×10^9 km / 299,792 km/s = 4908.23 seconds
Time (in minutes) = 4908.23 seconds / 60 = 81.8038 minutes
Therefore, it takes approximately 81.8 minutes for light to travel from the Sun to Saturn, covering a distance of 1.472×10^9 kilometers.
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thermal energy is the _____ of the kinetic and potential energies of all particles in an object.