The x component of the center of mass's velocity vector cannot change since the overall momentum is conserved. Consequently, the apple's and dart's velocity is 5 m/s.
What is the speed of the apple and dart right after the dart has pierced it?Equation 1: According to the equation of conservation of momentum, mu+m'u' = V(m+m')
Where m is the dart's mass, m' is the apple's mass, u is the dart's initial velocity, u' is the apple's initial velocity, and V is the dart and apple's subsequent velocity after becoming embedded.
Making V the equation's object,
V = (mu + m'u ) / (m + m )
Given: u = 15 m/s, u' = 0 m/s, m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg ( at rest)
Replace in equation 2
V = (0.05×15+0.1×0)/(0.05+0.1)
V = 0.75/0.15
V = 5 m/s.
Consequently, the apple's and dart's velocity is 5 m/s.
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4. A car with a mass of 1000 kg is travelling at an acceleration of 25 m/s2 and hits a wall. What is
the amount of force applied to that wall?"
Answer:
25,000 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
mass = 1000 kg
acceleration = 25 m/s²
force = 1000 × 25 = 25,000
We have the final answer as
25,000 NHope this helps you
Use composition of functions to determine whether f ( x ) and g ( x ) are inverses of each other.
\(f ( x ) =\frac{4}{5}\) x + 1
\(g ( x ) = \frac{5 x - 5}{4}\)
The two compositions are: f( g(x) ) = x and g( f(x) ) = x
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
We have given functions :
f(x) = 4/5x + 1
g(x) = (5x - 5)/4
Let's check if the functions are inverses.
f( g(x) ) = 4/5g(x) + 1 = 4/5{(5x - 5)/4} + 1 = (x - 1) + 1 = x
g( f(x) ) = (f(x) - 1)5/4 = (4/5x + 1 - 1)5/4 = x
So, f(x) and g(x) are inverses.
Hence, the two compositions are: f( g(x) ) = x and g( f(x) ) = x
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a wave having a wavelength of 4.7 meters and an amplitude of 2.5 meters travels a distance of 28 meters in 7 seconds. determine the frequency and period of the wave
Answer:
T(Period) = 1.33sf(Frequency) = 0.75Hz (cycles/second)Explanation:
Given:λ = 4.0mAmplitude = 25md = 24ms = 8.0sRequired:f = ?T = ?Analysis:v = λff =N/tT = 1/fv = d/tSolve:v = d/t = 24/8.0 → v = 3.0m/sv =λf → f = v/λ = 3.0/4.0 → f = 0.75HzT = 1/f = 1/0.75 → T = 1.33sHopes this helps. Mark as brainlest plz!Ribosomes are like tiny “factories” within cells that do all of the following EXCEPT:
Answer: translate DNA into RNA <3
Explanation:
An RNA polymerase binds to promoters and then breaks down hydrogen bonds between two strands of the DNA and attaches on one of them. A DNA strand is used as a template for a new RNA molecule. In this way, pre-mRNA is made, which becomes mRNA after the introns are removed.
A mRNA molecule enters the ribosomes, located in the cytoplasm. In these organelles, a transfer RNA attaches to a mRNA and the process of translation begins. The final product is a polypeptide chain.
ol
ir Q.No.la ताल भनका क
The unit of density is called derived unit, why?
Answer: Density is measured in kg⋅m−2 . This means that it is derived from fundamental units which are the kilogram and metre. ... hence the kilogram and the metre are SI units and density is a derived unit from these units
Explanation:
they are calculated from the base units mass and length. Density is one derived unit; force, area, volume, specific volume and mass fraction are also derived units. Each derived unit is defined by a quantity equation.
Answer:
Density is obtained through mathematical manipulation.
Explanation:
A derived unit is obtained through mathematical calculation and the result is written with the S.I unit kg/m³
The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be
The exact same. gravity has no effect on mass.
Answer:
The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be LessExplanation:
What is the equation describing the motion of a mass on the end of a spring which is stretched 8. 8 cm from equilibrium and then released from rest, and whose period is 0. 66 s ? assume that the displacement at the start of the motion is positive.
The equation describing the motion of a mass on the end of a spring is y=8.8cos(3πt)
Simple Harmonic motion is same like to and fro motion. Body is moving a certain distance from a point on both sides freely.
We know very well that equation of Simple Harmonic Motion is given by y=Acos(wt)
where y is the displacement of body,A the Amplitude of bodyw is the angular frequency of bodyand t is time .We also know very well that angular frequency=2π/Total time
=>ω=2π/T
We have T=0.66sec
Therefore,ω=2π/0.66
=>ω=(2×3.14)/0.66
=>ω=6.28/0.66
=>ω=9.515 =3π(approximately)
Now, we have also given that spring is stretched to 8.8cm.
Therefore, amplitude(A)=8.8cm
Therefore, y=8.8cos(3πt)
Hence, the equation is y=8.8cos(3πt)
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Write down whether quantity of potential kinetic and total energy
Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.
What is Potential energy?The earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.
Two magnets have more potential energy when they are held apart than when they are near to one another. They will migrate near each other and begin working if you let them go.
The force acting on the two objects affects the potential energy formula. P.E. = mgh, where m is the mass in kilograms and g is the acceleration due to gravity, is the formula for gravitational force.
Therefore, Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.
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Calculate the mass (g) of silver chloride formed when 215 g of silver sulfide reacts with excess hydrochloric acid. h2s (g) is also formed in the reaction.
When silver sulfide (Ag2S) reacts with hydrochloric acid (HCl), it forms silver chloride (AgCl) and hydrogen sulfide gas (H2S). To calculate the mass of silver chloride formed, we need to use the balanced chemical equation and the molar masses of the compounds involved.
The balanced chemical equation for the reaction is:
Ag2S + 2HCl → 2AgCl + H2S
From the equation, we can see that 1 mole of silver sulfide reacts to form 2 moles of silver chloride. To find the number of moles of silver chloride formed, we need to convert the mass of silver sulfide given (215 g) into moles.
First, find the molar mass of silver sulfide:
Ag2S = 2(107.87 g/mol) + 32.07 g/mol = 247.61 g/mol
Now, calculate the number of moles of silver sulfide:
Moles of Ag2S = Mass of Ag2S / Molar mass of Ag2S
Moles of Ag2S = 215 g / 247.61 g/mol ≈ 0.868 mol
Since 1 mole of silver sulfide forms 2 moles of silver chloride, the number of moles of silver chloride formed is double that of silver sulfide. Therefore, the moles of silver chloride formed is:
Moles of AgCl = 2 × Moles of Ag2S
Moles of AgCl = 2 × 0.868 mol = 1.736 mol
To calculate the mass of silver chloride formed, multiply the number of moles by its molar mass:
Mass of AgCl = Moles of AgCl × Molar mass of AgCl
Mass of AgCl = 1.736 mol × (107.87 g/mol) = 187.32 g
Therefore, the mass of silver chloride formed when 215 g of silver sulfide reacts with excess hydrochloric acid is approximately 187.32 grams.
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What is promising evidence of a habitat that might support life
on the planet Mars?
Detailed Answer please, will give thumb up rating definitely
A promising evidence of a habitat that might support life on the planet Mars is water.
There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.
Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life. Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.
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suppose we want a satellite to revolve around the earth 7 times a day. what should the radius of its orbit be?
The radius of its orbit is 102.22 km
What is gravitational constant ?The proportionality constant utilized in Newton's Law of Gravitation is the gravitational constant. The universal gravitational constant, abbreviated G and measured in Nm2/kg2, is the gravitational force that attracts any two unit masses separated by a unit distance.
Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 meters per second. The gravity of the Earth is to blame for this acceleration.
For this question, force caused by the satellite from the planet must be round about equal to the Centrifugal force :
\(F_{g} = F_{c\)
\(\frac{GMm}{r^2}\) = \(mw^2r\)
where ;
G = gravitational constant and this value is constant = 6.67 × \(10^-^1^1\)
m = mass of the earth and
r = distance
Using the concept of period through the angular velocity, we have
\(\frac{GM}{w^2}\) = \(r^3\)
Substitute the value and we will get
\(r^3\) = 1068193.154
r = 102.22 km
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lan holds a magnet a few centimeters away from a pile of metal washers. The magnetic force on
the washers is strong enough that they slide across the table towards the magnet.
How could lan decrease the magnetic force on the washers?
lan can decrease the magnetic force on the washers by increasing the distance between the magnet and the pile of metal washers.
What is a magnet?A material or object that creates a magnetic field is called a magnet.
The most noteworthy characteristic of a magnet, a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc., as well as the ability to attract or repel other magnets, is caused by this invisible magnetic field.
The strength of the magnetic force produced by a magnet increases when the distance between the magnet and an object experiencing the magnetic force is reduced.
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Travels 10m north followed by 24m East. What is the distance the student travelled in meters
Answer:
34
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Answer:
34
Explanation:
24+10=34
the half-life of iodine-123 is 13.3 hours. how much of a 25.0 mg sample will remain after 39.9 hours?
3.12 mg of sample will remain after 39.9 hours if the half life of iodine is 13.3 hours.
What does half-life mean?Half life of the process is the time necessary for the reaction rate to fall to one-half its original amount. A statistic that is connected to the reaction's rate constant is the split of a first-order order reaction.
Briefing:
Given, Half life of iodine is 13.3 hours. so,
Half life t1/2 = ln 2/ K
k = 0.693 / t1/2
= 0.693 /13.3 hours
= 5.21 *10-2
The flow time is based on rate law which would be different for each emotions. A first-order interaction is one in which only one reactant's concentration affects the rate of the reaction. As a result, it is sometimes referred to as a unimolecular reaction. For this kind of reaction, the rate equation is: The first order reaction's rate constant is,
k= 1/t ln [A]0 / [A]t
t = 39.9 hours
k = 5.21 * 10-2 / hour
putting all the values in the expression of rate constant for first order reaction we get,
[A]t = 3.12mg
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What are 4 ways you can determine if a website is reliable?
Answer:
Identify the name of the individual, group or institution that created the website. A reliable website should clearly state the name of its creator. Generally, websites created by government institutions (.gov) and educational institutions (.edu) are considered more reliable.
The movement of positively charged ions across the membrane of a neuron can produce a(n)a. action potential.b. synapse.c. neurotransmitters.d. myelin sheath.e. interneuron.
The main answer to your question is a. action potential. When positively charged ions, such as sodium (Na+) and potassium (K+), move across the membrane of a neuron
it can create an electrical signal known as an action potential. This signal travels down the axon of the neuron, eventually leading to the release of neurotransmitters at the synapse. The neurotransmitters then bind to receptors on the next neuron, causing a new action potential to be generated. The other options listed (b. synapse, c. neurotransmitters, d. myelin sheath, and e. interneuron) are all important components of neural communication, but they are not directly related to the movement of positively charged ions across the membrane.
The movement of positively charged ions across the membrane of a neuron can produce a(n) a. action potential, b. synapse, c. neurotransmitters, d. myelin sheath, or e. interneuron.
The main answer is a. action potential.
When positively charged ions, such as sodium or potassium, move across the membrane of a neuron, it can lead to a change in the electrical potential difference across the membrane. This change in voltage can result in an action potential, which is a rapid electrical signal that travels along the neuron's axon. This process is essential for the transmission of nerve impulses and communication between neurons.
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Three 45 ohm lightbulbs and three 75 ohm lightbulbs are connected in series. (a) what is the total resistance of the circuit? (b) what is their resistance if all six are wired in parallel?
a) The total resistance of the circuit in which three 45 ohm lightbulbs and three 75 ohm light bulbs connected in series is 360 ohm.
b) The total resistance of the circuit if all six are wired in parallel is 28.57 ohm.
a) In order to find the series total resistance, we need to add all resistances,
Req = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ = 45 + 45 + 45 + 75 + 75 + 75 = 135+ 225 = 360 ohm
b) Now, since the resistances are in parallel, we need to use the expression below,
1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅ + 1/R₆
Putting in the values,
1/Req = 1/45 + 1/45 + 1/45 + 1/75 + 1/75 + 1/75
1/Req = 1/0.035
Req = 28.57 ohm
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How long (in seconds) would it take a machine to do 13,771 joules of work if the power rating of the machine is 0.38 horsepower? (Give the answer without units and round it to the nearest whole number.)
what is the power of ideal sunglass
constriction is made in a clinical thermometer why
subject :science (energy)
Answer:
The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.
Explanation:
Hope it is helpful....
Answer:
constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.
Two tuning forks are producing sounds of wavelength 34.50 cm and 33.88 cm simultaneously. Part A How many beats do you hear each second? Express your answer in beats per second. beats/s
We hear 0.003 beats per second.
The beats per second (BPS) can be calculated using the formula:
BPS = (wavelength of first fork - wavelength of second fork) / 2 * frequency of first fork
where the wavelength of the first fork is 34.50 cm and the wavelength of the second fork is 33.88 cm.
First, we need to find the frequency of the first fork:
frequency of first fork = speed of sound in air / wavelength of first fork
speed of sound in air = 343 m/s
wavelength of first fork = speed of sound in air / frequency of first fork
wavelength of first fork = 343 m/s / 2000 Hz
wavelength of first fork = 0.1715 meters
Therefore, the frequency of the first fork is 2000 Hz.
Next, we can find the beats per second:
BPS = (0.1715 meters - 0.1655 meters) / 2 * 2000 Hz
BPS = 0.006 meters / 2 * 2000 Hz
BPS = 0.003 beats/s
Therefore, we hear 0.003 beats per second.
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An electromagnetic wave is created when an electric dipole with its centre located at the origin of a Cartesian coordinate system oscillates along the x axis. At a position on the z axis far from the origin, the polarization of the wave is the orientation of the electric field, which is parallel to the x axis.
When an electric dipole oscillates along the x-axis, it creates an electromagnetic wave with an electric field that oscillates perpendicular to the direction of propagation of the wave.
Electric dipoles are widely used in various applications, including antennas, sensors, and electronic devices. The separation between the charges is known as the dipole moment and is denoted by the symbol "p". The concept of electric dipole is also essential in understanding many fundamental concepts in electromagnetism, such as electric fields, electric potentials, and electric forces.
The electric dipole moment plays an important role in many physical phenomena, such as the interaction between molecules in a polar solvent, the electric field near a polar molecule, and the interaction between charges in an external electric field. In the presence of an external electric field, an electric dipole experiences a torque that aligns the dipole moment with the electric field direction. This phenomenon is known as the orientational polarization of the dipole.
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Complete Question:-
An electromagnetic wave is created when an electric dipole with its centre located at the origin of a Cartesian coordinate system oscillates along the x axis. At a position on the z axis far from the origin, the polarization of the wave is the orientation of the electric field, which is parallel to the x axis.
Describe how the particles change when a solid turns to liquid and when a liquid turns to a gas
When a solid turns into a liquid, the particles gain energy and vibrate more quickly.
As heat is added to the solid, the particles gain energy and start moving more vigorously. Eventually, the energy overcomes the intermolecular forces holding the particles in place, causing them to break free from their fixed positions.
As a result, the solid's structure breaks down, and the particles become less organized, allowing them to flow freely past one another. This change from a solid to a liquid is known as melting, and it occurs at the melting point of the substance.When a liquid turns into a gas, the particles experience a process called vaporization or evaporation.
In a liquid, the particles are loosely packed and move more freely compared to a solid. As heat is applied to the liquid, the particles gain even more energy and move faster. Some particles near the surface gain enough energy to overcome the attractive forces of neighboring particles and escape into the surrounding space as gas molecules.
This transition from a liquid to a gas occurs at the boiling point of the substance. The remaining liquid continues to evaporate until all the liquid has been converted into gas or until equilibrium is reached.In both processes, the arrangement and motion of the particles change significantly.
The transition from a solid to a liquid involves a breakdown of the fixed positions of the particles, while the transition from a liquid to a gas involves the escape of particles from the liquid's surface.
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. Lin cooked a pot of soup, then put half the soup in the freezer for a while. Now the soup in the pot is hot, and the soup in the freezer is cold. What is the difference between the molecules of the soup in the pot and the molecules of the soup in the freezer
Answer:
The molecules of the soup in the pot move faster than those in the freezer.
Explanation:
The soup in the freezer is closer to being a solid than that in the pot. Therefore, it has more energy which will make the molecules move faster.
Question.
what is a crystal?
A crystal or is a solid material whose constituents are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions
hope this helps
for the series circuit in the previous part, change the resistance of the bottom resistor to 20 ωω . what is the voltage across this 20- ωω resistor?
In a series circuit, the total resistance is the sum of all individual resistances. So, if the bottom resistor is changed to 20 ω, the total resistance of the circuit will increase.
The voltage across the resistor can be found using Ohm's law, which states that voltage (V) is equal to the current (I) times the resistance (R), or V=IR.
Assuming a constant current flow through the circuit, the voltage across the 20 ω resistor can be found by using the total resistance of the circuit. Let's say the total resistance is 100 ω. If the current through the circuit is 1A, then using Ohm's law, the voltage across the 20 ω resistor would be V=IR=1A x 20 ω = 20V.
Therefore, if the resistance of the bottom resistor in a series circuit is changed to 20 ω, the voltage across it will depend on the total resistance and current of the circuit. In the example above, the voltage across the 20 ω resistor would be 20V.
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what is the primary driver of creating wind on the surface of the earth? select one: a. earth's magnetic field b. uneven heating of earth's surface by the sun c. ocean currents d. the moons gravitational pull on the earth
B. uneven heating of earth's surface by the sun. The primary driver of creating wind on the surface of the earth is the uneven heating of earth's surface by the sun.
What principal force propels air across the Earth's surface?Wind is the term for the flow of air through any planet's atmosphere. On Earth, winds are mostly brought on by the sun's uneven heating. Because of these variations in temperature, winds blow from places with high atmospheric pressure to areas with low atmospheric pressure.
What is the main force behind the ocean's surface current?Ocean currents, which are fueled by friction between the water and the wind that blows over its surface, are one of the many factors that accelerate the ocean's perpetual motion. Although the wind is the main reason for surface currents, other factors also affect how the ocean's waters travel.
The most notable of these is the Coriolis effect, which is caused by the Earth's rotation diverting currents off their intended course. The rotation of the Earth causes currents to be redirected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
The gyres in the two hemispheres consequently flow in opposing directions.
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What is the velocity of a car that travelled a total of 75 km north in 1.5 hrs?
why does teh equivalent reistace decease as more ressitrs area dded to a parallel circuit
The equivalent resistance decreases as more resistors are added to a parallel circuit due to the way current divides among the branches.
In a parallel circuit, each resistor has its own separate path for current to flow. When more resistors are added in parallel, the total available paths for current to travel through increase. As a result, the overall resistance to the flow of current decreases. The decrease in equivalent resistance can be understood by considering Ohm's Law, which states that resistance is inversely proportional to current. In a parallel circuit, as the number of paths for current increases, the total current flowing through the circuit also increases. Since the voltage across each resistor remains the same in a parallel circuit, the increase in total current leads to a decrease in the overall resistance.
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Which of the following statements from Dalton's atomic theory is no longer true, according to modern atomic theory?
the statement from Dalton's atomic theory that is no longer true is "Atoms are indivisible and cannot be divided into smaller particles."
Dalton's atomic theory, proposed in the early 19th century, stated that atoms were indivisible and indestructible particles, meaning they could not be further divided into smaller particles. However, with advancements in scientific understanding and the development of subatomic particle physics, it has been discovered that atoms are not indivisible. Atoms are composed of subatomic particles, namely protons, neutrons, and electrons. Protons and neutrons reside in the nucleus at the center of the atom, while electrons orbit around the nucleus. Furthermore, scientists have identified even smaller particles within the nucleus, such as quarks and gluons. Hence, the concept of atoms being indivisible, as proposed in Dalton's atomic theory, is no longer valid based on modern atomic theory.
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Which of the following statements from Dalton's atomic theory is no longer true, according to modern atomic theory?
A) All atoms of a given element are identical.
B) Atoms are not created or destroyed in chemical reactions.
C) Elements are made up of tiny particles called atoms.
D) Atoms are indivisible and cannot be divided into smaller particles.