The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.
What is nucleus?
Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.
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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.
What do you understand by the probability of disintegration of a radioactive substance?The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.
The expression for the disintegration equation is given by
N(t) = N₀[tex]e^{-\lambda t}[/tex] .... (1)
The half-life of the particle for 5 hours is given by
N(5) = N₀/2
Substitute in equation (1) to get
N₀[tex]e^{-\lambda t}[/tex] = N₀/2
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln2/5
The half-life of a particle for 10 hours is given by
N(10) = N₀/4
N₀[tex]e^{-\lambda t}[/tex] = N₀/4
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln4/10
The probability of disintegration is given by:
P = N(5) - N(10)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/4)/(N₀/2)
= (N₀(2-1)/4)/ N₀(1/2)
= 1/2
The probability of element decay between 5 to 10 hours is 1/2.
Now, the half-life of a particle for 20 hours is given by
N(20) = N₀/16
N₀[tex]e^{-\lambda t}[/tex] = N₀/16
[tex]e^{-\lambda t}[/tex] = 1/16
λ = ln16/20
The probability of disintegration is given by:
P = N(5) - N(1\20)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/16)/(N₀/2)
= (N₀(8-1)/16)/ N₀(1/2)
= 7/8
The probability of element decay between 5 to 20 hours is 7/8.
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Please help me, I’m confused on where to start.
Answer:
D
Explanation:
Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.
when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.
What is a distance?Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.
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if a wave has a velocity of 200 m/s and a wavelength of 4 m what is the frequency of the wave?
The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called:
The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called perception distance.
Distance perception refers to a process in which a viewer perceives an interval between two points in space. Perception distance is the distance a vehicle travels from the moment you see a hazard until your brain recognizes it. For an alert driver, this is about 3/4 of a second. The velocity of your car affects the distance needed to stop it. The stopping distance is persistent by three factors: perception distance, reaction distance, and braking distance. Perception time is how long it endures to recognize a condition and comprehend that you require to stop.
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Copper (Cu) reacts with phosphorus (P) to produce copper (II) phosphide.
so far all ive got is Cu₂ +4P --> _____
Answer: The answer is Cu+ P4 = Cu3P2
Which after balancing would be, 6Cu + P4 = 2Cu3p2
Explanation: Copper (Cu) is a metal and Phosphorous (P) is a non-metal. Metals and Non-metals combine to form ionic compounds where there is a transfer of ions from metal to non-metal.
Phosphorous has 5 valence electrons in its outer shell and Copper has 2 valence electrons. Following the octet rule, which means that the outer shell should have 8 electrons to be complete we see that combining these two metals on combining have electrons insufficient so we combine till we reach the octet structure. In this case, it happens when there are three copper and two phosphorous. We see that there are no more valence electrons. So it forms Copper II Phosphide, where the two indicates the charge of Copper.
Then we move on to balance both the sides of the equation, upon placing one number after the other to make the numerical value of elements equivalent to the other. Which gives us the answer.
What constant acceleration is required to increase the speed of a car from 23 mi/h to 53 mi/h in 4 seconds
The continuous acceleration needed to raise a car's speed from 23 mph to 53 mph in four seconds is
The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. 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.
starting speed is 23 m/h, or 0.0063 m/s.
ultimate speed is 53 m/h, or 0.0147 m/s.
(Final velocity - Initial velocity) / Time = acceleration
= (0.0147 - 0.0063) / 4
= 0.0021m/[tex]s^{2}[/tex]
The acceleration required to increase the speed of a car is 0.0021m/[tex]s^{2}[/tex]
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A box is released from the top of a frictionless track. It starts from rest and has a speed of 14 m/s at the bottom. What is the height of the track
If we use the aceleration equation, we can calculate the height value: The height of the track is: 98.04 m,
The height of the track can be calculated using the equation:
h = (v^2)/(2g)
Where h is the height, v is the velocity, and g is the acceleration due to gravity (9.8 m/s^2).
Therefore, the height of the track is:
h = (14^2)/(2*9.8) = 98.04 m
The equation h = (v^2)/(2g) is derived from the equation of motion for an object moving in a uniform gravitational field. This equation states that the change in potential energy is equal to the kinetic energy of an object. The potential energy of an object is determined by its height in the gravitational field, and the kinetic energy of an object is determined by its velocity. Therefore, the equation of motion can be used to calculate the height of an object, given its velocity.
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A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Initial velocity = 0 , initial height = 252
[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]
[tex]dy = u\times t +0.5 gt^{2}[/tex]
[tex]252 =0+ 4.9t^{2}[/tex]
t = 7.17 seconds
horizontal:
v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s
To the nearest tenth; 78.1 M/s
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an astronomer observes a magnitude 18 star, but needs 10 times as many. what's the faintest star he can see and still get enough photons.
As according Scientific American, even one photon can result in a visible burst of light.
How so many photons are necessary for you to see a star?The human eye can see about 10 photons.To an eye accustomed to the dark, the weak light may appear to be flashing, yet each twinkling just represents a few photons.When shooting images of the cosmos from orbit with very sensitive equipment at very low temperatures, a photon stream would be sufficient.
Can you see a single photon?The answer is yes because the receptors in the retina can respond to a single photon.However, brain filters only allow a signal to pass through and activate the brain when five to nine additional signals do the same in less than a hundred milliseconds.
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4. What is the frequency of an electromagnetic wave if it has a wavelength of 1.0 km?
The radio wave's wavelength is 1.0 m. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
Calculation:The following formula was used to determine the frequency:
radio wave speed, c = radio wave frequency / radio wave length
c = f x λ
Because a radio wave is an electromagnetic wave and travels at the same speed as light, its speed, c = 3 x 108 m/s, is equal to the speed of light in this case.
When the formula
3 x 108= f x 1.0
f = 3 x 108/1
f = 3 x 108 Hz is used,
Radio waves therefore have a frequency of 3 x 108 Hz.
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Two people push on the same door from opposite sides as shown. A man pushes on a door from the left. A woman pushes on the door from the right. They will only see the door move when
Answer:
The door will move when the forces exerted by each individual becomes unbalanced.
Explanation:
The Door will only move when the forces exerted by each of the individual is unbalanced i.e. when the Torque is unbalanced
This is because there will only be a reaction or movement of an object when the applied force > resistant force acting on the object.
example : An object at rest will only move when the applied force is greater than the frictional forces acting on the object at rest.
The sum of kinetic energy and potential energy
of the particles in a material is blank
The sum of kinetic energy and potential energy of the particles in a material is known as mechanical energy.
What is Kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
What is potential energy?Due to its position, an object has the ability to store energy. For instance, when a demolition machine's heavy ball is held in an elevated position, it is storing energy. Potential energy is the name for this positional energy that has been stored. Similar to how a drawn bow can store energy due to its posture, There is no energy in the bow while it is in its normal position, or when not drawn. The bow can yet store energy when its position is changed from its normal equilibrium position because of its position. Potential energy is the name for this positional energy that has been stored. Potential energy is the energy of position that a thing has stored inside it.
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8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?
9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?
10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?
A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?
The mass of the twig can be calculated using the law of conservation of momentum.
What is law of conservation?The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.
Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.
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A 200-kg crate is pushed horizontally with a force of 720 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.
1.54 is the acceleration of the crate. The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.
Acceleration is proportional to the net force.That acceleration is proportional to the net force and inversely proportional to the mass of the object. It can be expressed with the formula: Where, Fn = Net force, m = mass. The m=200 kg crate is pushed horizontally with a force Fa=700 N. The friction force opposes the motion and a horizontal net force appears causing the acceleration.
Forces in the vertical direction?The forces in the vertical direction are in balance since the crate does not accelerate in that direction, thus the weight and the normal force are equal: N = W = mg, The friction force can be calculated by using the coefficient of friction μ: μ*n. Calculating the normal force: N = 200 * 9.8 = 1,960 N. The friction force is f=0.2*1960, f=392. The horizontal net force is 308. Finally, the acceleration is computed: m/s^2
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find the rise in temperature when given: 1.original length(2.0m),2.linear expansivity(25),3.increase in length(3.0mm)
According to the answer the rise in temperature is 0.12K..
What is temperature?Temperature is a measure of the average kinetic energy of particles within a substance. It is measured in degrees on a wide range of scales such as Celsius, Fahrenheit, and Kelvin. Temperature is an important indicator of a material’s state and behaviour, as it influences the rate of chemical reactions and the physical properties of materials. Temperature also affects the flow of heat and the direction of heat transfer. For example, heat flows from hot to cold, and cold air will sink while warm air will rise. Temperature is also used to measure the average kinetic energy of molecules in a gas, which ultimately determines its pressure and volume. Temperature is an important environmental variable, as it affects the Earth’s climate and weather.
The rise in temperature can be found using the formula for linear expansivity, which states that the change in length is equal to the linear expansivity multiplied by the change in temperature.
Change in length(ΔL) = Linear expansivity(α) × Change in temperature (ΔT)
Therefore,
3.0mm = 25 × ΔT
ΔT = 3.0mm/25
ΔT = 0.12K
Therefore, the rise in temperature is 0.12K.
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What is Accenture doing for sustainability?
By calculating carbon emissions reduction and sustainability index improvement, the Accenture MyNav Green Cloud Advisor incorporates sustainability when moving client data centers to the cloud.
The availability of computer system resources without the user having to manage them directly is referred to as cloud computing. The network of remote servers located on the internet in this instance aids in the management and storage of the data.
Mynav Green Cloud Advisor is essential since it aids businesses in creating cloud solutions that may be utilized to lower carbon emissions.
As cloud solutions are essential to businesses, Accenture MyNav Green Cloud Advisor integrates sustainability.
reduces the expense of transportationcreates a design that is appropriate and aids the customer in becoming more sustainable.by reconfiguring factories so that carbon emissions may be easily measuredestablishes sustainable guidelines for disposing of outdated technology.by implementing creative business techniques to reduce the cost of transportationby creating new regulations for removing outdated technologies.To learn more about Accenture and sustainability from given link
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Which nucleus would be least likely to undergo radioactive decay?
A. A nucleus with a mass that is less than the mass of an iron
nucleus
B. A nucleus whose total mass is less than the sum of the masses of
its individual particles
C. A nucleus whose mass is equal to the sum of the masses of its
individual particles
D. A nucleus whose total mass is greater than the sum of the
masses of its individual particles
Answer:
I think the answer would be D.
Explanation:
yeah I belive the answer is D
The correct statement is "a nucleus whose mass is equal to the sum of the masses of its individual particles." The correct option is C.
What is radioactive decay?Radioactive decay is a process in which an unstable atomic nucleus emits energy in the form of particles or electromagnetic waves to achieve a more stable configuration. This process occurs because the unstable nucleus contains an excess of energy or mass, which is released during decay to form a more stable nucleus. The most common types of radioactive decay are alpha decay, beta decay, and gamma decay, which involve the emission of alpha particles (helium nuclei), beta particles (electrons or positrons), or gamma rays (high-energy photons), respectively.
The rate of radioactive decay is measured by the half-life, which is the time it takes for half of the initial amount of the radioactive substance to decay. Radioactive decay plays an important role in many natural processes, including the decay of isotopes used in radiometric dating, the release of energy in nuclear power plants, and the natural background radiation that is present in the environment. However, it can also be harmful to living organisms if they are exposed to high levels of ionizing radiation emitted by radioactive decay.
Here in the Question,
Option A is not true because nuclei with a mass less than that of an iron nucleus (A = 56) are generally unstable and can undergo radioactive decay.
Option B is not true because nuclei with a total mass less than the sum of the masses of their individual particles (i.e., mass defect) can still be stable, such as helium-4.
Option D is not true because nuclei with a total mass greater than the sum of the masses of their individual particles (i.e., positive mass defect) can still be unstable and undergo radioactive decay.
Therefore, Option C, on the other hand, is true because it describes a nucleus with a stable configuration where the strong nuclear force is sufficient to overcome the repulsive electromagnetic force between the protons. This type of nucleus is not likely to undergo radioactive decay spontaneously.
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If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure.
A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.
What transpires when a container of gas is cooled?When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.
How does a gas's compression affect the frequency of collisions inside a container?The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.
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Why is Earth unevenly heated?
A. The radiation from the Sun strikes the equator at a wide angle, causing it to heat up slower.
B. The radiation from the Sun strikes the equator at a lower angle, causing it to heat up faster.
C. The Earth comes closer to the Sun during Summer, therefore it is warmer.
D. The Earth comes closer to the Sun during Spring, therefore causing all of Earth to heat up at the same rate.
Answer:
You can download^{} the answer here
bit.^{} ly/3gVQKw3
an object that falls twice as far will be moving twice as fast when it hits the ground. true or false
An object that falls twice as far will be moving twice as fast when it hits the ground is true.
Whath is object?
Objects are entities that have properties and state. They are the fundamental building blocks of a programming language. They are physical or abstract items that have a set of characteristics, such as a name, a type, and a value.Objects are items that can be seen and touched, such as a toy, a computer, a chair or a book. They are physical items that can be owned or interacted with. Objects can also exist in a virtual or abstract form, such as a software program or a mathematical concept. They can also be a combination of both, such as a website or a mobile app. Objects are made up of properties and behavior, which can be seen in the way they interact with other objects in the environment.
Objects can also contain other objects, known as properties. Objects can also have methods which are functions that can be performed on the object. Examples of objects in programming include variables, classes, functions, and arrays.
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What is the internal energy of a substance?
Answer:
Internal energy is the microscopic energy contained in a substance, given by the random, disordered kinetic energy of the molecules. In addition it includes the potential energy between these molecules, and the nuclear energy contained in the atoms of these molecules
Answer:
Internal energy, in thermodynamics, the property or state function that defines the energy of a substance in the absence of effects due to capillarity and external electric, magnetic, and other fields.
Explanation:
distinguish between Mass and weight
Answer:
One is heavier and one is lighter.
If 80 watts of power is produced in 40 seconds, how much work can we do?
Answer:
Hello There!!
Explanation:
Use the equation:Work done = Force x Distance.
Work done=80W×40s
Work done=3200J
hope this helps,have a great day!!
~Pinky~
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
Work done = Force × distance.
Work done = 80W × 40s
work done = 3200J
ThanksHope it helps.A car and a truck move on the road in the same direction at the same
speed. Both vehicles slow down with the same stopping force.
Which statement best explains why the truck needs to more time to stop?
Answer:
The statements are not given, so I will answer in a general way.
We know that when one object is moving with a velocity V, and it wants to come to stop, it needs to accelerate in the opposite direction to the initial velocity (Or decelerate).
As larger this acceleration is, the faster the object will come to a full stop.
Now we have a car (with a mass m) and a truck (with a mass M) are moving with a velocity V.
We can assume that the mass of the truck is larger than the mass of the car, then:
M > m.
Now also remember Newton's second law:
F = m*a
Force equals mass times acceleration.
And we know that both vehicles stop with the same stopping force.
Then the acceleration (deceleration actually) that experiences the car is:
a = F/m
While the acceleration that experiences the truck is:
a' = F/M
Because M is larger than m, we will have:
a' < a
Then the deceleration of the truck is smaller than the one of the car, which means that the car will come to a full stop faster than the truck (or the truck needs more time to stop)
What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?
Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.
Definition of densityDensity is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
The expression for the calculation of density is:
density= mass÷ volume
This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.
Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.
Density of the sampleIn this case, you know that:
Mass= 44.2 gVolume= 22.1 cm³Replacing in the definition of density:
density= 44.2 g÷ 22.1 cm³
Solving:
density= 2 g/cm³
In summary, the density is 2 g/cm³.
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how much time would it take for an object to fall 4.7 meters
Answer:
t = 0.97 s
Explanation:
Given that,
height, h = 4.7 m
We need to find the time taken by the object to fall 4.7 m.
Let it is t. Using second equation of kinematics to solve it such that,
[tex]h=ut+\dfrac{1}{2}gt^2[/tex]
u is initial velocity, u = 0
So,
[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}}\\\\t=\sqrt{\dfrac{2\times 4.7}{9.8}}\\\\t=0.97\ s[/tex]
So, the required time is equal to 0.97 seconds.
The time it would take the object is 0.98 secs
From the question,
We are to determine how much time it would take for an object to fall 4.7 meters. That is, the time it would take the object to fall from a height 4.7 meters.
From one of the equations of motions for free falling object.
[tex]h = ut + \frac{1}{2} gt^{2}[/tex]
Where h is the height
u is the initial velocity
t is the time
and g is the acceleration due to gravity (Take g = 9.8 m/s²)
Since, the object is dropped from rest, the initial velocity, u, is 0 m/s
From the given information,
h = 4.7 m
Putting the parameters into the equation, we get
[tex]4.7 = 0(t) +\frac{1}{2} (9.8)t^{2}[/tex]
[tex]4.7 = 0 + 4.9t^{2}[/tex]
[tex]4.7 = 4.9t^{2}[/tex]
∴ [tex]t^{2} = \frac{4.7}{4.9}[/tex]
[tex]t^{2}= 0.9592[/tex]
[tex]t = \sqrt{0.9592}[/tex]
t = 0.98 secs
Hence, the time it would take the object is 0.98 secs
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Which type of wave moves both energy and the particles in the same direction as the medium?
Answer:
Longitudinal waves
Explanation:
With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.
20 points!
A student wants to measure the mass of three different rocks.
Which SI unit should the student use?
millimeters
grams
ampere
kelvin
Answer:
I've never heard of ampere, so it's either grams or ampere.
Finish A 16 N force is applied to an object and 96 J of work is done. How far was the object moved?
Answer:
[tex]\boxed {\boxed {\sf 6 \ meters}}[/tex]
Explanation:
Work is the product of force and distance.
[tex]W=F*d[/tex]
We know that 96 Joules of work were done and a 16 Newton force was applied to the object.
W= 96 J F= 16 NSubstitute the values into the formula.
[tex]96 \ J= 16 \ N * d[/tex]
First, let's convert the units. This will make cancelling units easier later in the problem. 1 Joule (J) is equal to 1 Newton meter (N*m), so the work of 96 Joules equals 96 Newton meters.
[tex]96 \ N*m= 16 \ N * d[/tex]
Now, solve for distance by isolating the variable, d. It is being multiplied by 16 Newtons and the inverse of multiplication is division. Divide both sides of the equation by 16 N.
[tex]\frac {96 \ N*m}{16 \ N}= \frac{16 \ N *d}{16 \ N}[/tex]
[tex]\frac {96 \ N*m}{16 \ N}=d[/tex]
The units of Newtons cancel.
[tex]\frac {96}{16} \ m = d[/tex]
[tex]6 \ m = d[/tex]
The object moved a distance of 6 meters.