An____ collision occurs when an arrow hits the target.
Answers
Answer:
I think it's An inelastic collision occurs when an arrow hits the target because when the arrow hits it, the target and the arrow do not bounce away from each other.
Explanation:
Related Questions
an 7.6 kgkg crate is pulled 5.1 mm up a 30∘∘ incline by a rope angled 17 ∘∘ above the incline. the tension in the rope is 120 nn and the crate's coefficient of kinetic friction on the incline is 0.27.How much work is done by (a) tension, by (b) gravity, and by (c) the normal force?2. ) What is the increase in thermal energy of the crate and incline?
Answers
(a) The work done by tension is 0 J.
(b) The work done by gravity is -30.7 J.
(c) The work done by the normal force is 0 J.
(d) The increase in thermal energy of the crate and incline is 30.7 J.
(a) The tension in the rope is perpendicular to the displacement of the crate, so the work done by tension is zero. This is because work is defined as the dot product of force and displacement, and when the angle between the force and displacement vectors is 90 degrees, the work done is zero.
(b) The work done by gravity can be calculated by considering the component of the weight of the crate that acts along the incline. The gravitational force can be split into two components: one parallel to the incline (mg * sin θ) and one perpendicular to the incline (mg * cos θ). The work done by the component parallel to the incline is given by the formula W = force * distance * cos θ. Substituting the values, we get W = (-mg * sin θ) * distance * cos θ = -30.7 J.
(c) The normal force exerted by the incline is perpendicular to the displacement of the crate, so the work done by the normal force is zero.
(d) The increase in thermal energy of the crate and incline is equal to the negative of the work done by gravity. This is due to the conservation of mechanical energy. The work done by gravity is negative because the force of gravity acts opposite to the displacement of the crate. Therefore, the increase in thermal energy is 30.7 J.
It's important to note that the negative sign in the work done by gravity indicates that work is done against gravity, resulting in a decrease in the mechanical energy of the system. The increase in thermal energy represents the energy dissipated as heat due to friction between the crate and the incline.
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how to find velocity with force and mass ?
Answers
Answer:
Explanation:
F=ma
a=change in velocity/time
f=m*change in velocity/time
velocity= Force*time/mass
1. In 1638 the Italian scientist Galileo Galilei
and his assistant conducts an experiment to
measuring the speed of light. They settled down
in the hills, a few kilometers apart
the other. The assistant opened his headlight window
and, when Galileo observed his light, he opened
the window of his lantern.
a) The speed of light is 300,000 km/s.
The distance between the two hills is 3 km.
Choose the time you would mark in this
experiment and circle it.
10 seconds
1 second
1/1000 of a second
1/100,000 of a second
b) Can you tell this time with your eyes?
Explain your answer.
c) How far apart must the two observers be to distinguish the time of 1 second?
Answers
a) The time that would be marked in this experiment would be 1/100,000 of a second.
b) No, it is not possible for the human eye to distinguish such a small amount of time.
c) To distinguish a time of 1 second, the two observers would need to be approximately 300,000 km apart. This is because the speed of light is approximately 300,000 km/s, so it would take light 1 second to travel that distance.
Two 3.0g bullets are fired with speeds of 40.0 m/s
and 80.0 m/s, respectively. What are their kinetic
energies? Which bullet has more kinetic energy? What is the ratio of their kinetic energies?
Answers
\( = \sf \frac{1}{2} m {v}^{2} \)
Kinetic energy of the 1st bullet \( \sf = \frac{1}{2} \times m1 \times {(v1)}^{2} \\ \sf= \frac{1}{2} \times 0.003 \times {(40)}^{2}J \\ \sf = \frac{1}{2} \times 0.003 \times 1600J \\ \sf = 2.4J\)Kinetic energy of the 2nd bullet \( \sf = \frac{1}{2} \times m2 \times {(v2)}^{2} \\ \sf= \frac{1}{2} \times 0.003 \times {(80)}^{2}J \\ \sf = \frac{1}{2} \times 0.003 \times 6400J \\ \sf = 9.6J\) So, the 2nd bullet which has greater velocity has more kinetic energy.Therefore, the ratio of their kinetic energies\( \sf = \frac{2.4J}{9.6J} \\ \sf= \frac{24}{96} = \frac{1}{4} \\ \sf = 1 : 4\)
Answer:
The kinetic energies of the bullets are 2.4 J and 9.6 J.
The bullet having greater velocity has more kinetic energy.
The ratio of their kinetic energies is 1 : 4.
Hope you could get an idea from here
Doubt clarification - use comment section.
The kinetic energy of the two bullets are 2.4 J and 9.6 J respectively.
The ratio of the kinetic energy of the bullets is 1:4.
What is kinetic energy?The kinetic energy of an object is the energy possessed by the object due to its motion.
The kinetic energy of the two bullets is calculated as follows;
\(K.E_1 = \frac{1}{2} \times 0.003 \times 40^2 = 2.4 \ J\\\\K.E_2 = \frac{1}{2} \times 0.003 \times 80^2 = 9.6 \ J\)
Ratio of the kinetic energy of the bullets is calculated as follows;
\(K.E_1 : K.E_2 = 2.4: 9.6 \ = \ 1: 4\)
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what does the odometer of an automobile measure
Answers
Answer:
Used for measuring the distance traveled by a vehicle, such as a bicycle or car.
Explanation:
Answer:
it measures distance travelled by the vehicle
a pinhole camera is made from an 85- cm -long box with a small hole in one end. part a if the hole is 6.0 m from a 1.9- m -tall person, how tall will the image of the person on the film be?
Answers
The height of image of the person on the film is determined as 0.267 meters tall.
What is the height of the image formed?The height of the image formed is calculated by applying the formula for magnification of lens.
The given parameters;
Length of the box = 85 cm = 0.85 mDistance from the hole to the person = 6.0 mHeight of the person = 1.9 mThe height of the image formed is calculated as follows;
(person's height) / (distance from person to hole) = (image height) / (distance from image to hole)
1.9 m / 6.0 m = h' / 0.85 m
h' = (1.9 m / 6.0 m) * 0.85 m
h' = 0.267 m
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(a) Find the electric dipole moment of the object. C⋅m
i
^
+C⋅m
j
^
(b) The object is placed in an electric field
E
=(7.80×10
3
i
^
−4.90×10
3
j
^
)N/C. Find the torque acting on the object. (c) Find the potential energy of the object-field system when the object is in this orientation. ] (d) Assuming the orientation of the object can change, find the difference between the maximum and the minimum potential energies of the system.
Answers
The electric dipole moment can be given as:μ=|q|d μ = sqrt( 4^2 + 3^2 ) x 10^-6 = 5.00 × 10^-6 Cm and the difference between the maximum and minimum potential energies of the system is -7.80 × 10^-2 J.
Part a:
The electric dipole moment of the object can be given as: μ=qd where q is the magnitude of charge and d is the distance between them. The direction of the dipole moment is from negative to positive. Therefore, the electric dipole moment can be given as: μ=|q|d μ = sqrt( 4^2 + 3^2 ) x 10^-6 = 5.00 × 10^-6 Cm
Part b:
The torque acting on the object can be given as:τ = μ × E sinθwhere E is the electric field strength, θ is the angle between the dipole moment and the electric field, μ is the electric dipole moment. τ = μ × E sinθτ = 5.00 × 10^-6 × (7.80 × 10^3i - 4.90 × 10^3j) sin90°= 1.95 × 10^-2 Nm
Part c:
The potential energy of the object-field system when the object is in this orientation can be given as: U = -μ × E cosθ U = -5.00 × 10^-6 × (7.80 × 10^3i - 4.90 × 10^3j) cos 0°= -3.90 × 10^-2 J
Part d:
The potential energy of the object-field system can vary depending on the orientation of the object. The potential energy is maximum when θ = 0°, and minimum when θ = 180°. Therefore, the difference between the maximum and minimum potential energies of the system can be given as follows:Umax = -μ × E cos0°= -5.00 × 10^-6 × (7.80 × 10^3) × 1 = -3.90 × 10^-2 JUmin = -μ × E cos180°= -5.00 × 10^-6 × (7.80 × 10^3) × (-1) = 3.90 × 10^-2 JDifference = Umax - Umin = -3.90 × 10^-2 - 3.90 × 10^-2 = -7.80 × 10^-2 J Therefore, the difference between the maximum and minimum potential energies of the system is -7.80 × 10^-2 J.
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if the student then moves backwards and returns to a position marked 20 meters another 7 seconds later, what is the displacement of the student from starting position?
Answers
The student returned to starting point hence the displacement is zero.
What is the displacement?The displacement refers to the distance that is covered in a specified direction. The difference between distance and displacement is that displacement is a vector quantity while distance is a scalar quantity.
If displacement is a vector quantity, it then follows that the direction must be taken into consideration when we are talking about the displacement of the body.
Looking at the fact that the student moves backwards and returns to a position marked 20 meters another 7 seconds later, it then follows that the student returned to starting point and that the displacement is zero.
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Aluminum is often melted down for recycling purposes. Assuming 1 kg of aluminum is at room temperature, what is the minimum amount of heat needed to melt it to a liquid? The specific heat capacity of aluminum is 899 J/kg°C, the melting point is 660°C, and the latent heat of fusion is 3.97 x 105 J/kg.
60 points
Answers
The minimum amount of heat needed to melt it to a liquid will be 569.067 kJ.
What is enthalpy of fusion?The minimum amount of heat needed to melt it to a liquid is known as the enthalpy of fusion.
The formula for the enthalpy of the fusion is;
\(\rm L_f=Q/m \\\\ L_f=mCdt/m \\\\ L_f= Cdt \\\\ L_f= 899 J/kg^0C \times (660^0-27^0) \\\\ L_f= 569,067 \ J \\\\\ L_f=569.067 \ kJ\)
Hence, the minimum amount of heat needed to melt it to a liquid will be 569.067 kJ.
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What statement best describes what happens when a pitcher throws a baseball with different amounts of force?
A.The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
B.The mass of the baseball never changes and therefore neither does the acceleration of the baseball.
C.The mass of the baseball never changes so the more force in the pitchers arm, the lower the acceleration of the baseball before it leaves the pitcher's hand.
D.Baseballs do not accelerate as they go through the air.
Answers
Newton's second law allows us to find that the correct answer is:
A) The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
Newton's second law gives a relationship between force and the product of mass and acceleration of the body
F = m a
Where F is the force, m the mass and the acceleration of the body. The bold indicate vectors
The baseball ball is a solid body that has a fixed mass, therefore the pitcher uses different forces in the arm, the acceleration must change proportionally, as the force increases, the acceleration must increase (fastball).
Let's review the different claims
A) true. These statements are in accordance with Newton's second law
B) False. If the force changes any of the other two parameters must change
C) false. Force and acceleration are proportional
D) False. When the ball is in the air it is subjected to the acceleration of gravity
With Newton's second law we find that the correct answer is:
A) The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
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During reading:
1. Name two types of situations in which stars create elements and fling them out into space.
Answers
Answer: Reasons are below <3
Explanation:
Reason 1. Some of the heavier elements in the periodic table are created when pairs of neutron stars collide cataclysmically and explode, researchers have shown for the first time.
Reason 2. Light elements like hydrogen and helium formed during the big bang, and those up to iron are made by fusion in the cores of stars.
Brainliest? <33
Astronomers have concluded that the Sun's activity varies in an 11-year cycle. Which of the following statements about this cycle is TRUE?
a. The Sun's activity cycle shows absolutely no connection to its magnetic field.
b. When sunspots are at a minimum we get the largest number of flares and prominences.
c. The number of sunspots gets larger and smaller over the course of 11 years.
d. Every 11 years sunspots completely cover the Sun making its surface much darker.
Answers
Since astronomers have concluded that the Sun's activity varies in an 11-year cycle, the statement about this cycle which is true is that: C. The number of sunspots gets larger and smaller over the course of 11 years.
What is the Sun?In Science, the Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.
Based on astronomical records and information, we can reasonably infer and logically deduce that all of the activities which are associated with the Sun generally varies in an 11-year cycle, and this makes the number of sunspots to both get smaller and larger within a period of eleven (11) years.
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The shape of the curve the projectile follows is a ⋯⋯⋯ Ellipse Circle Straight Line Parabola Question 2 1 pts A projectile is launched at an angle to the horizontal with an initial velocity. This velocity vector can be decomposed into its x and y components. The x-component of the velocity vector is the magnitude of the initial velocity times cosine of the angle the angle itself tangent of the angle sine of the angle
Answers
The shape of the curve that a projectile follows is a parabola.
When a projectile is launched at an angle to the horizontal with an initial velocity, its trajectory forms a parabolic shape. This is due to the combined effects of horizontal and vertical motions. The x-component of the velocity vector represents the velocity in the horizontal direction, while the y-component represents the velocity in the vertical direction.
To decompose the initial velocity vector, we use trigonometric functions. The x-component of the velocity vector is given by the magnitude of the initial velocity multiplied by the cosine of the launch angle. The cosine function relates the adjacent side of a right triangle (horizontal component) to the hypotenuse (initial velocity). Therefore, multiplying the magnitude of the initial velocity by the cosine of the angle gives us the x-component.
On the other hand, the y-component of the velocity vector is given by the magnitude of the initial velocity multiplied by the sine of the launch angle. The sine function relates the opposite side of a right triangle (vertical component) to the hypotenuse (initial velocity). Multiplying the magnitude of the initial velocity by the sine of the angle gives us the y-component.
By considering both the horizontal and vertical components of velocity, we can understand the motion of a projectile and determine its trajectory, which follows a parabolic path.
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Please help 50 points given not cap
The sun is too big to be a star.
True or False
The stars in a constellation are close together
True or False
Though stars appear very small, they are actually very big.
True or False
Answers
A car engine has power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied power than Yasmin because his stacking took time to do the same amount of work.
Answers
Answer:
A car engine has more power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.
Explanation:
A car engine has more power than a horse because a car engine does the same amount of work in less time. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Energy divided by time represents the dimension of power. The watt (W), which equates to one joule per second, is the unit of power in the International System of Units (SI).
Another popular unit of measurement is horsepower (hp), which is equivalent to a horse's power; one mechanical horsepower is equal to around 745.7 watts.
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what is ccl4 compound name
Answers
Tetrachloromethane is the name given to the CCl4 chemical.
Structure of carbon tetrachloride chemically. The liquid CCl4 is transparent, nonflammable, and heavy. It evaporates quickly and has a distinctive sweet smell that is similar to that of chloroform. The term "volatile organic compound" refers to CCl4 (VOC).
The secondary prefix for four carbon atoms is tetra. The first prefix for chlorine is chloro. Meth represents the word's root, which is carbon. Tetrachloromethane, which may also be written as 1,1,1,1, is the name of the substance. a week ago With the chemical formula CCl4, carbon tetrachloride is an organochlorine chemical compound that goes by several different names.
covalent substance Since it has four non-polar covalent connections between carbon and chlorine, carbon tetrachloride (CCl4) is classified as a covalent molecule.
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If the pressure of a gas is kept constant and the temperature (in Kelvin) is cut in half, the volume will _________.
Answers
Answer: be cut in half
Explanation:
in The unit of power is a
derived unite
The unit of power is
a derived unit be con
CAY
Answers
Answer:
Watts
Explanation:
The SI unit for power is the watt (W), where 1 watt equals 1 joule/second (1 W=1 J/s).
what is one effective way to calibrate a thermometer
Answers
Calibration can be defined as the way an instrument is adjusted such that the measurement the instrument gives after calibration is precise and accurate.
One effective way to calibrate a thermometer is the use of ice water.
A thermometer can be defined as the instrument used to measure the temperature of a person or a substance.
A thermometer should be calibrated regularly in order to maintain a high level of precision and accuracy.
One of the effective ways to calibrate a thermometer is through the use of ice water.
The steps to calibrate a thermometer are given below:
Get a bowl, place some ice cubes in it and add additional cold water to it. Place thermometer probe between 2 -3 inches deep in the water. For accurate calibration, make sure you prevent the thermometer from touching the sides of the glass. Stir and wait for a few seconds. The thermometer should be properly calibrated when you read the measurements and it says 32°FTo learn more, visit the link below:
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It takes 338 kJ of energy to move a car of mass 1000 kg at a speed of v. Calculate v
Answers
Answer:
26 m/s
Explanation:
Kinetic energy = 1/2 * mass * velocity²
338kJ is 338000J.
338000 = 1/2 * 1000 * velocity²
676 = velocity²
26 m/s = velocity.
Hello people ~
Voice of man is heavy compared to a woman because
(a) Female vocal cord is longer
(b) Male vocal cord is shorter
(c) Male vocal cord is longer
(d) The concept is not related
Answers
Answer:
(c) the male vocal cord is longer
Explanation:
Males have a lower pitch in their voises than females, elongating men's vocal cords.
I am joyous to assist you at any time.
Voice of man is heavy compared to a woman because male vocal cord is longer.
What is the difference between male and female voice?The change is caused by an enlargement in the vocal folds, generating a more serious and adult voice. Generally speaking, the male voice is deeper than the female voice because the vocal muscles grow more in men than in women.
Males have a lower pitch in their voises than females, elongating men's vocal cords.
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A tennis ball is dropped from 1.71 m above the ground. It rebounds to a height of 0.828m. With what velocity does it hit the ground? The acceleration of gravity is 9.8 m/s2. (Let down be negative.) Answer in units of m/s.
Answers
thermal noise is unavoidable and can literally be found everywhere in the universe because it is due to _______ motion of ________ in electrical circuits?
Answers
Thermal noise is the unavoidable noise that occurs due to the thermal motion of particles in electrical circuits.
This type of noise is present everywhere in the universe as it is due to the thermal motion of particles.
This thermal motion is the random movement of particles that is a result of their temperature. At higher temperatures, the particles in a substance have a higher thermal motion, which results in more thermal noise.
The electrical circuit has resistance, and when a current flows through it, the resistance causes collisions between electrons and other atoms. This interaction between the moving electrons and atoms in the conductor produces thermal noise.
Thermal noise is proportional to the temperature of the conductor and is independent of the current or voltage of the signal passing through it. The power of thermal noise is given by the formula P = kTB, where k is Boltzmann's constant, T is the temperature in Kelvin, and B is the bandwidth of the signal.
Hence, it can be deduced that thermal noise is an inevitable occurrence present universally, as it arises from the thermal agitation of particles within electrical circuits. This phenomenon pervades various environments and cannot be eliminated.
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What type of circuit have you made?
Answers
The type of circuit which have been made is the series circuit in this scenario.
What is a Series circuit?
This is a complete path which involves the whole electric current flowing through the various parts such as resistor etc..
There is only one path of current in which it does not undergo any form of split during motion.
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Jacinta wrote the following passage about chemical changes.A chemical change is a change that results in one or more new substances with different properties. When a chemical change occurs, the new substance can give off an odor, such as rotting fruit or cookies baking in the oven. Chemical changes can cause color changes, such as iron rusting and turning a reddish-brown color. When wood is burned or ingredients are mixed for baking a cake, a new substance is made.
Choose the best statement that Jacinta can add to her passage.
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy causes a faster chemical change.
Wood burning and fruit rotting creates new substances through a chemical change that is affected by sound energy.
Rotting fruit and burning wood is a chemical change that occurs because there is a decrease in temperature.
Less heat causes a faster chemical change. When a chemical change occurs, the new substance that is created has properties similar to the original substance.
Answers
Answer:
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy causes a faster chemical change.
Explanation:
The best statement that Jacinta can add to her passage is:
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy cause a faster chemical change.
This statement is correct because temperature is a factor that influences the rate of chemical reactions. Higher temperature means more kinetic energy for the molecules, which increases the chances of collisions and bond breaking. This leads to faster chemical changes and new substances being formed. The other statements are either incorrect or irrelevant to the topic of chemical changes.
Scientists have changed the model of the atom as they
What experimental evidence led to the development of
have gathered new evidence. One of the atomic models
this atomic model from
the one before it?
iS shown below.
O A few of the positive particles aimed at a gold foil
seemed to bounce back.
The colors of light emitted from heated atoms had
very specific energies.
Experiments with water
vapor showed that elements
combine in specific proportions.
Cathode rays were bent in the same way whenever a
magnet was brought near them.
Answers
The experimental evidence led to the development of have gathered new evidence. One of the atomic models this atomic model from the one before it is the colors of light emitted from heated atoms had very specific energies.
As scientific knowledge about the structure of the atom has changed, so have models of the atom.
The Rutherford planetary model, which depicts electrons travelling around the nucleus like planets move around the sun in the solar system, is the direct precursor of the model illustrated in the figure attached.
This model was created as a result of the study of light hues released by heated atoms with highly particular energies.
The Bohr model of the atom is so named because Niels Bohr had a major role in developing it. The passage of electrons between energy levels caused the light hues released by heated atoms. Electrons are grouped in shells or energy levels.
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radiation has been detected from space that is characteristic of an ideal radiator at t = 2.728 k. (This radiation is a relic of the Big Bang at the Beginning of the universe
Answers
The temperature at the wave length is 1.06×10 −3 m, microwave region and This is a component of the electromagnetic spectrums' microwave microwave area. The ''afterglow" of the Big Bang is commonly referred to as the Cosmic Microwave Background.
Wien's displacement law (Equation 38.30) describes the relationship between the peak wavelength of light emitted by an ideal radiator and its temperature.
\(T = 2.90 x \ 10^{-3} m. K\)
Substituting T = 2.728 K
\(T = \frac{2.90 x \ 10^{-3} m. K}{2.728 K}\)
\(= 1.06 x \ 10^{-3} m\)
This is part of the microwave microwave area of the electromagnetic spectrum. This ''afterglow" of the Big Bang is commonly referred to as the Cosmic Microwave Background.
The cosmic microwave background radiation (CMB) is the radiation that has been detected from space and is characteristic of an ideal radiator at a temperature of 2.728 Kelvin.
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The following question may be like this:
Radiation has been detected from space that is characteristic of an ideal radiator at T=2.728 K. (This radiation is a relic of the Big Bang at the beginning of the universe.) For this temperature, at what wavelength does the Planck distribution peak? In what part of the electromagnetic spectrum is this wavelength?
Radiation detected from space, characteristic of an ideal radiator at T = 2.728 K, is known as the Cosmic Microwave Background (CMB) radiation. This radiation is a relic of the Big Bang, which marks the beginning of the universe.
CMB radiation permeates the universe and provides valuable insights into the early stages of its development. It is a critical piece of evidence supporting the Big Bang theory, as it demonstrates the uniform distribution of energy and matter in the initial moments following the event. The 2.728 K temperature represents the cooling of the radiation over time, as the universe expanded and aged.
As an ideal radiator, the CMB radiation displays a perfect blackbody spectrum, which is a theoretical construct representing the radiation emitted by a perfectly efficient absorber and emitter of energy. This characteristic implies that the radiation originated from a state of thermal equilibrium, further supporting the notion of a homogeneous and isotropic early universe.
In conclusion, the detection of radiation from space with a temperature of 2.728 K, characteristic of an ideal radiator, provides essential evidence of the Big Bang and the early stages of the universe's formation. The Cosmic Microwave Background radiation serves as a powerful tool for understanding the origins and evolution of our universe.
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A radioactive substance has a decay constant equal to 5.6 x 10-8 s-1. S Part A For the steps and strategies involved in solving a similar problem, you may view the following Quick Example 32-11 video: What is the half-life of this substance? Express your answer in years. REASONING AND SOLUTION The number of atoms follows an exponential dependence: N decreases with time smaller means slower decay decay constant larger means fuster decay N- number of atoms present at time! number of atoms present at t=0 IVO AEO ? Known N = 3.38 x 10 alom 20.1814""; 1 = 74.140 For r-7d: N-(3.38 x 10'atome.COM SL14_9.52 x 10 atoms T1/2 = Submit Request Answer
Answers
To find the half-life of a radioactive substance, we can use the decay constant (λ) given by:
λ = 5.6 x 10^(-8) s^(-1).
The relationship between the decay constant (λ) and the half-life (T1/2) is given by:
λ = ln(2) / T1/2,
where ln represents the natural logarithm.
To find the half-life, we can rearrange the equation:
T1/2 = ln(2) / λ.
Plugging in the value for λ:
T1/2 = ln(2) / (5.6 x 10^(-8) s^(-1)).
Calculating this expression will give us the half-life of the radioactive substance.
Using a calculator:
T1/2 = ln(2) / (5.6 x 10^(-8)) ≈ 1.240 x 10^7 s.
To express the half-life in years, we can convert seconds to years:
1 year = 365 days = 365 x 24 x 60 x 60 seconds.
T1/2 (in years) = (1.240 x 10^7 s) / (365 x 24 x 60 x 60 s) ≈ 0.393 years.
Therefore, the half-life of the radioactive substance is approximately 0.393 years.
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A room has a rectangular shape of 4000 mom by 3600mm according to the architecture plan It is supposed to be fitted with tiles which are square in shape and size of 12 cm. How many tiles are required to cover the entire floor
Answers
Explanation:
First find the area of the entire floor:
Area of a rectangle= length × width
( 4000mm× 3600mm)
14400000mm²
Area of one square tile??= side ×side
12cm×12cm
144cm²
Convert cm to mm
1cm²=100mm²
144cm²=144cm²/1cm²×100mm²
=14,400mm²
Number of tiles required to cover the entire floor= 14400000mm²/14400mm²
=1000
Onsider the helium atom interference experiment discussed in section Q5. 5. In this experiment, the detection screen was 64 cm from the slits. (a) If the helium atom beam had a wavelength of0. 103 nm, what is the approximate speed of each atom? (b) Calculate the theoretical distance between adjacent interference maxima on the detection screen and com- 1 / pare it to the measured value
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A helium atom interference experiment was carried out in which the detection screen was 64 cm from the slits. The wavelength of the helium atom beam was 0.103 nm.
We are to find the approximate speed of each atom and also calculate the theoretical distance between adjacent interference maxima on the detection screen and compare it to the measured value.
(a) The de Broglie wavelength of a particle of mass m and velocity v is given by \(λ = h/mv\).
Here, h is Planck's constant. Therefore, \(v = h/(mλ)\). For a helium atom, the mass is \(6.6465 × 10^-27 kg\), and the wavelength is \(0.103 nm = 1.03 × 10^-10 m\). Substituting these values in the formula gives:
\(v = (6.626 × 10^-34 J s) / (6.6465 × 10^-27 kg × 1.03 × 10^-10 m) = 963.5 m/s\), approximately.
(b) The distance between adjacent interference maxima can be calculated using the formula d sin θ = mλ, where d is the separation between the two slits, θ is the angle between the central maximum and the maximum under consideration, m is the order of the maximum, and λ is the wavelength of the beam.
Using this approximation, we get:\(D = λ/θ = λ/[(64 cm) / sqrt((64 cm)^2 + (0.25 mm)^2)] ≈ 2.65\)mmSubstituting these values in the formula gives:
\(d ≈ mλD/sqrt(D^2 + 64 cm^2) = m(0.103 nm)(2.65 × 10^-3 m)/sqrt[(2.65 × 10^-3 m)^2 + (64 cm)^2]\)
The first maximum is m = 1, so we get:
\(d ≈ (0.103 nm)(2.65 × 10^-3 m)/sqrt[(2.65 × 10^-3 m)^2 + (64 cm)^2] ≈ 0.77 mm\)
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