34.65 is the value of the decay constant of a radioactive substance having a half-life of 0.02sec.
Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.
Half-Life Formula :t₁/₂ = 0.693/λ
Where as t1/2 is Half-Life of a radioactive substance
λ= decay constant
We have t1/2 = 0.02sec substitute in the formula
0.02=0.693/λ ⇒λ= [tex]\frac{0.693}{0.02}[/tex]
λ= 34.65
The decay constant of a radioactive substance having a half life-life of 0.02 is 34.65.
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½ pounds of butter to make one batch of cookies how many Kilograms of
butter is needed to make 12 batches of cookies? Dimensional analysis
One batch of cookies need 1/2 pounds or 0.21 Kg. Thus, 12 batches of cookies need 2.61 kg of butter.
What is one pound of mass?Mass of a substance is the measure of its total amount. Mass of a substance can be expressed in g, Kg, pounds, lbs etc. Each units can be interchanged with certain relations.
One pound of mass = 0.435 Kg.
Thus, 1/2 pound = 0.435/2 = 0.21 kg.
Given that one batch of cookies need 1/2 pounds or 0.21 Kg. Hence, the amount of butter need to prepare 12 batch of cookies is :
= 12 × 0.21 Kg = 2.61 kg.
Therefore, the mass of butter required for 12 batches of cookies is 2.61 Kg.
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A roller-coaster goes over a 12 m tall hill then approaches a 30 m hill. What is the minimum velocity the roller-coaster would need when going over the 12 m hill to make it to the top of the 30 m hill?
254.8 m/s
15.96 m/s
Not enough information to answer
18.78 m/s
The minimum velocity the roller-coaster need when going over the 12 m to make it to the top of the 30 m hill is equal to 18.78 m/s. Therefore, option (D) is correct.
What is the law of conservation of energy?Energy can be transformed from one to another but can neither be created nor destroyed. Energy is present in nature in several forms such as heat, nuclear energy, electricity, chemical energy, and so on.
If every form of energy is considered, then the total energy of an isolated system remains constant. This law of energy applies to all types of energy in our universe.
From the law of conservation of energy, the energy of the roller-coaster goes:
[tex]{\displaystyle \frac{1}{2} mv^2 +mgh_1 = mgh_2[/tex]
Given the height of the first hill, h₁ = 12m
The height of the second hill, h₂ = 30 m
The gravitational acceleration, g = 9.8 m/s²
We can find the value of the minimum velocity of the roller-coaster from the above equation:
[tex]{\displaystyle \frac{1}{2} v^2 +gh_1 = gh_2[/tex]
0.5 × v² + (9.8) × 12 = (9.8) × 30
0.5 v² = 176.6
v = 18.78 m/s
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An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.
The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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which statement is true about the relationship between hubble's constant and the age of the universe? which statement is true about the relationship between hubble's constant and the age of the universe? the larger the value of hubble's constant, the slower the universe is expanding and the older the universe must be. the larger the value of hubble's constant, the faster the universe is expanding and the younger the universe must be. the larger the value of hubble's constant, the slower the universe is expanding and the younger the universe must be. there is no relationship between the value of hubble's constant and the age of the universe.
The correct statement is:
"The higher the value of the Hubble constant, the faster the universe is expanding and the younger it should be."
The Hubble's constant, named after American astronomer Edwin Hubble, is a measure of the expansion rate of the universe. It is defined as the ratio of the speed at which a galaxy is moving away from an observer to its distance from the observer. We can use this constant to calculate the age of the universe by estimating how long it took the universe to reach its current size.
The higher the Hubble constant, the faster the galaxies are moving away from each other. This means that the universe is also expanding faster, so it should be younger. Conversely, a small value of the Hubble constant means that the universe is expanding slowly, and therefore must be older.
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A small car and a semi-truck have the same total mechanical energy. Which if the following cannot be true?
The car is going the same speed as the truck and the truck and car are at the same height can not be true. Therefore, option (B) is correct.
What is mechanical energy?Mechanical energy can be defined as the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a body because of its position or motion.
The total mechanical energy can be considered conserved when the forces doing work are conservative in nature. The energy changes between different kinds of potential energy and kinetic energy but the total energy of the system remain constant.
Kinetic energy and the potential energy of the car and the semi-truck will depend on the masses of the objects. The semi-truck must have a greater mass than the car. Therefore, the car and the semi-truck must have different values of speed and height if they have the same total mechanical energy.
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storms in the south pacific can create waves that travel all the way to the california coast, which are 12,000 km away. how long does it take them if they travel at 18.3 m/s?
we may estimate that the storm's effects will last for about 9.3 days.
We were informed that a wave is produced in the south pacific ocean. Additionally, these phrases produce waves that have a 15 m/s speed and can travel 12,000 kilometres. These waves, which are produced in the southern Pacific, can travel this far. Therefore, we simply utilise the standard equation that T equals distance times speed at the time of combat. Therefore, we must translate this distance into metres. Thus, 12,000 times 1000 is greater than 15. As Pete lacks seconds, the results are revealed. Thus, this can be expressed as eight times ten, increased to five seconds. So let's convert to our words first. Therefore, in terms of us, we will find that this equals to ours be 222 points. In order to determine the approximate number of days, we need to divide the amount by 24. 9.3 approximately Therefore, we may estimate that the storm's effects will last for about 9.3 days.
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Two identical objects go around circles of identical diameter, but one object goes around the circle twice as fast as the other. The centripetal force required to keep the faster object on the circular path is.
Answer:
a
Explanation:
A 0. 25-kilogram baseball is thrown upward with a speed of 30. Meters per second. Neglecting friction, the maximum height reached by the baseball is approximately.
Answer:46m
Explanation:
a) Calculate the percent efficiency for an electric motor that uses 15 000 J of energy to produce 11 500 J of energy. How much waste is produced?
Answer:
76.67% efficient
Explanation:
11500/15000*100
3
1 point
An archer fires an arrow at 86m/s and an angle of 34° above the ground. What is the horizontal velocity?
71.30 m/s
48.09 m/s
86 m/s
65.82 m/s
Answer:
Below
Explanation:
VERTICAL velocity will be v sin 34
HORIZONTAL velocity will be v cos 34 = 86 cos 34 = 71.3 m/s
You need to get to the post office, 200 meters away, and you can walk at about 2.5 m/s. How much time will it take to get to the post office?
A car traveling at 70 m/s comes to a complete stop in a time of 50 sec. What is the car's acceleration?
-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec.
v=u+at in this v= final velocity u= initial velocity , a = acceleration of the car and t= time
initial velocity of car u= 70m/s
final velocity of the car is v= 0 m/s after stop the car is in rest position
time t =50s, now substitute these values in equation
0=70+a(50) which is -1.4 m/s².
here we got the answer in negative acceleration. Which is called as Deceleration.
Hence-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec
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stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants
Stars with a mass greater than 15 times that of the sun typically transition directly from the hr diagram to the red giant stage while maintaining a nearly constant luminosity.
Constant means what?A quantity that is supposed not to shift value in a particular mathematical debate is one that has a specific amount in a specific context, is true globally, or is a feature of some material or instrument.
What symbol represents a constant?A digit (0–9) or a period serves as the initial of a constant sign. A constant symbol's value cannot be altered. It is merely the string made up of the symbol's characters, all lowercase alphabetic characters having been converted to uppercase.
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Which statements are explained by Newton’s law of universal gravitation?
//Heavier objects fall faster than lighter objects.
//The strength of Earth’s gravity decreases as an object gets farther from Earth.
//The strength of gravity depends on an object’s mass.
//Mass and weight are the same quantities.
Answer:
Below
Explanation:
The strength of Earth’s gravity decreases as an object gets farther from Earth. <===== this is the only statement that is true
Answer: (There are two statements)
The strength of Earth's gravity decreases as an object gets farther from Earth.
The strength of gravity depends on an object's mass
Explanation:
A light-weight potter's wheel, having a moment of inertia of is spinning freely at 40. 0 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1. 2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay?.
The mass of the clay that spinning freely with a speed of 40.0 rpm sticks to a distance of 1.2 m from the axis of rotation and the subsequent angular velocity of the wheel and the clay 32 rpm is 4.2 kg.
Law of conservation of angular momentumThe law of conservation of angular momentum is an analogy of the law of conservation of linear momentum. If we look back at Newton's II law for translational motion, a similar relationship will apply to the law of the conservation of momentum.
The law of conservation of angular momentum is a law that states the amount of momentum before and after producing the same or constant collision.
The equation is:
I₁ω₁ = I₂ω₂
We have,
Initial angular speed of the system = 40.0 rpm ⇒ ω₁
Final angular speed of the system = 32 rpm ⇒ ω₂
This question is incomplete, it should be the moment of inertia of potter's wheel = 24 kgm² ⇒ I₁ = I₂
Distance of clay from axis of rotation = 1.20 m ⇒ R
So, to determine the mass of the clay we can use conservation of angular momentum:
I₁ω₁ = I₂ω₂
(24) (40) = (24 + m (1.20)²) (32)
m = 4.2 kg
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explain why the ir thermal image of the heated plate at a uniform temperature looks different in temperature scales
Due to gradient difference ir thermal image of the heated plate at a uniform temperature looks different in temperature scales
In order to clarify field studies pertaining to animal ecology, thermal imaging is a very effective remote sensing technique for a variety of reasons. A wide range of platforms, including land, water, and air-based vehicles, are used to collect thermal imaging data in real time at the speed of light. It is superior to visible imaging technologies because it can detect animals in a wide range of typically problematic atmospheric conditions because thermal radiation can penetrate smokes, aerosols, dust, and mists more effectively than visible radiation. It is a completely passive imaging method that works in both daylight and darkness. As a result, there are fewer disruptions and stressful disturbances to wildlife while data collection is taking place. Because it contrasts the emissivity of the animal with its background rather than comparing temperatures, it can detect animals that are colder, warmer, or the same temperature as their background.To study about remote sensing -
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what minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet?
0.525 m³ minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet.
How do you find the minimum volume?Add the biggest possible inaccuracy to each metric, then multiply to get the biggest volume you can. Subtract the largest potential mistake of each measurement, then multiply, to determine the smallest volume that can be produced.
Briefing:1000 kg/m³ = density of water
920 kg/m³ = density of ice
BF = Woman Weight + Slab Weight
Pvg = 42 + Pvg
V = 42 kg / (1000 - 920)
V = 42 / 80
V = 0.525 m³
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1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the symbol of the new atom?
4. What type of decay is demonstrated here?
1. The atomic mass of the new atom be 252. Option (d) is correct.
2. The atomic number of the new atom be 100. Option (j) is correct.
3. The symbol of the new atom be Fm. Option (e) is correct.
4. Beta decay is demonstrated here. Option (g) is correct.
What is Beta decay?A proton can change into a neutron or vice versa inside the radioactive sample's nucleus through a process known as beta decay. The radioactive sample's nucleus can approach the ideal neutron/proton ratio as closely as feasible through processes like beta decay and alpha decay.
The nucleus releases a beta particle during this process, which can either be an electron or a positron. Keep in mind that a proton can become a neutron or a neutron can become a proton. To follow the law of charge conservation, electron and positron are created. The weak contact that leads to beta-decay.
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a mosquito flying over a highway strikes the windshield of a moving trunk. compared to the magnitude of the force of the truck on the mosquito during the collision, the magnitude of the force of the mosquito on the truck is
The magnitude of the force of the mosquito on the truck is same as the magnitude of the truck on the mosquito.
When we push or pull an object, then we say that a force is applied to it. Depending on its direction, the force might be either positive or negative.
The Newton's third law of motion states that if a force is applied to an object by an external agent, then the object applies the same magnitude of the force on the agent but that this force is in the opposite direction to the original force direction. So, forces always occur in a pair.
Even though the two forces in a pair act in different ways on distinct objects, they are equal.
In the given question, when the mosquito hits the shield of the truck then it applies a force on the car, and the car also applies the same magnitude of the force on the mosquito.
Thus, the force on the mosquito by the truck has the same magnitude as the force on the truck by the mosquito.
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newton's second law in 1 dimension: a net force of 125 n is applied to a certain object. as a result, the object accelerates with an acceleration of 24.0 m/s2. the mass of the object is
The mass of the object when a net force of 125 n is applied to a certain object is 5.2 kg
Newton's second law in one dimension states that the net force acting on an object is equal to the product of the object's mass and its acceleration. In mathematical form, the law is expressed as:
F = ma
Where F is the net force, m is the mass of the object, and a is the acceleration of the object.
In this case, we are given that a net force of 125 n is applied to an object and that the object accelerates with an acceleration of 24.0 m/s2. We are asked to find the mass of the object.
We can solve for the mass using the equation above:
m = F / a
= 125 n / 24.0 m/s2
= approximately 5.2 kg
Therefore, the mass of the object is approximately 5.2 kg.
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If a kiloparsec (kpc) is equal to 1000 parsecs, how many light years is a kiloparsec
equal to?
(1 point)
O 3, 260 light years
O 3.26 light years
O 3 million light years
O 2, 260 light years
If a kiloparsec (kpc) is equal to 1000 parsecs, light years is a kiloparsec equal to: 3, 260 light years.
What is light years?The distance that light travels in a light-year is one year. At 186,000 miles (300,000 kilometres) per second and 5.88 trillion miles (9.46 trillion kilometres) per year, light travels through interstellar space.
Since a light-year is the maximum distance light can travel in one year and nothing can move faster than that, the answer appears to be 13.8 billion light-years.
Thus, 3,260 many light years is a kiloparsec.
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A block is dropped on to
the track and bounces back
to the dropping point.
Is energy conserved or not?
Answer: yes
Explanation:
for a closed universe ( ), is the angular diameter distance monotonic? for an open universe ( ), is the angular diameter distance monotonic?
Simply said, open and closed are infinite or finite. Its critical density is a factor for the geometry. The cosmos is closed (limited) and positively curved like the surface of a ball if the density parameter is larger than 1.
This expansion is supposed to occur at a constant rate in flat geometry. Acceleration is caused by dark energy.According to general relativity, the geometry of space, or its flatness, is directly related to the mass density, hence as space expands, the geometry becomes flatter. Think of space as a balloon's surface. The balloon's surface becomes increasingly flatter as you blow it up. This occurs in three dimensions in space.When we return to our geometry and mass density relationship as space flattens, we discover that the density is pushed toward critical density.Since space expands exponentially during inflation, it is really pushed extremely swiftly toward critical density, which explains why we are so close to the critical mass density.
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For a closed universe, the angular diameter distance is not monotonic. This is because in a closed universe, the expansion rate is decelerating due to the gravitational pull of matter, causing light to bend and curve as it travels through the universe.
This curvature effect can cause the apparent size of objects to vary as a function of their distance, leading to a non-monotonic angular diameter distance.
On the other hand, for an open universe, the angular diameter distance is monotonic. This is because in an open universe, the expansion rate is accelerating due to dark energy, causing light to travel in straight lines and maintaining a constant relationship between the physical size of an object and its angular size as it moves further away. Therefore, the angular diameter distance increases monotonically with distance in an open universe.
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In this scenario a battery is used to supply chemical potential energy. The potential energy is transformed and produces kinetic energy. The battery causes a fan to spin and that kinetic energy can also be described as mechanical energy. Check out the values for each: 100 J potential energy results in 75 J of kinetic energy. What conclusion can be drawn from the energy transformation diagram?
Responses
A The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.
B The energy transformation results in 25J of energy being lost.The energy transformation results in 25J of energy being lost.
C The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy. The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy.
D Not all of the chemical potential energy is converted; 25J remains as potential energy.
The conclusion that can be drawn from the energy transformation diagram is "the chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy".
option A is the correct answer.
What is the law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
This implies that energy is always conserved as it be converted from one form of energy to another. Such as;
Potential energy to kinetic energyKinetic energy to potential energyChemical energy to electrical energyElectrical energy to chemical energyElectrical energy to heat energyElectrical energy to light energy, etcIn the given scenario such that 100 J of potential energy is transformed to produce kinetic energy and the battery causes a fan to spin using 75 J of kinetic energy converted from the 100 J of potential energy.
We can conclude the following based on the given scenario;
energy conversion takes placesenergy is conservedall the potential energy is converted into kinetic energythe remaining energy (25 J) is converted into other form of energythe possible form of energy of the 25 J is heatLearn more about energy conservation here: https://brainly.com/question/166559
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hat is the volume rate of flow of water from a 1.90- cmcm -diameter faucet if the pressure head is 10.0 mm ?
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of water flow is about. 3.97 × 10⁻³m³/s.
Given:
The faucet's diameter (d) is 1.90 cm (0.019 m).
Pressure head (h) = 13.0 m
The formula for the volume rate of flow (Q) through a pipe or faucet is given by:
Q = A × v
The radius of the faucet (r) is half of the diameter:
r = d / 2 = 0.019 / 2 = 0.0095 m
The cross-sectional area of the circular opening is given by:
A = π × r²
v = √(2 × g × h)
v = √(2 × 9.81 × 13.0)
v = √(254.46)
v = 15.95 m/s
Now, we have both A and v. Let's calculate the volume rate of flow (Q):
Q = A × v
Q = π × (0.0095)² × 15.95
Q = 3.97 × 10⁻³m³/s
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of flow of water is therefore about. 3.97 × 10⁻³m³/s.
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The complete question is:
What is the volume rate of flow of water from a 1.90- cm -diameter faucet if the pressure head is 10.0 mm?
Which condition would exist for the length of day and night to be equal all year long
Answer:
the Equionox
Explanation:
there are only teo times of the year when the earths axis
is tilted neither toward nor away from the sun, resulting on a nearly equal amount of daylight and darkness at all latitudes. these events are referred to as equionoxes
for a spacecraft operations for a several year long mission to the outer solar system, i should use:
Long-duration spacecraft use the potent rocket fuel LOX + LH as a propellant. The spacecraft's long-term survival in the outer solar system is ensured by the use of this propellant.
To be utilized on commercial space launch vehicles is the propellant Lox/LH2. For massive space rockets, liquid oxygen was the first, least expensive, safest, and ultimately favoured oxidizer. Its fundamental flaw is that it is only mildly cryogenic, making it unsuitable for military applications where speedy launch and storage of the missile's fuel are essential. All the top rocket thinkers agreed that liquid hydrogen was the theoretically ideal rocket fuel.
LH2 and LOX are fed into each engine's combustion chamber after being placed in the tanks and when the launch countdown approaches zero. When the propellant is lit, the hydrogen and oxygen react violently to create: water
O2 + 2H2 = 2H2O + Energy
Superheated water and enormous quantities of energy are released in this "green" process (steam). The water vapour expands and leaves the engine nozzles at speeds of 10,000 mph due to the hydrogen-oxygen reaction's intense heat.
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how are the waves generated in the spectrum
Question 13 of 25
Which of the following changes would make a heat engine waste more
energy as heat?
OA. A decrease in its exhaust temperature
OB. An increase in work done
OC. A decrease in randomness
OD. A decrease in its operating temperature
Answer:
D. A decrease in its operating temperature
One “day” on the moon is the same length as one month on
Earth.
Is this True or false??
Answer:
True
Explanation: