Answer:
Explanation:
This is a correct statement. According to Pascal's Law, when pressure is applied to a confined fluid, the pressure is distributed equally in all directions throughout the fluid. This rule is extremely useful in practical applications such as hydraulics and pneumatics. Pascal's Law is used in hydraulics to apply force to move a piston or other object, but in pneumatics, it is used to regulate the flow of air. The rule may also be used to describe how air pressure influences the depth to which a fluid can be immersed.
Hydraulic systems use Pascal's law to transfer force from one point to another by using pressurized fluids. This makes it a very useful law for many everyday applications.
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1000 cm³ of air at 20 °C and 101.35 kPa is heated at constant pressure until its volume doubles. a) Use the ideal gas equation to calculate the final temperature of the gas.
From Charles's law, the magnitude of the final temperature is 586 K
What is an Ideal Gas ?An Ideal gas is a gas which obeys ideal gas equation at all pressures, volumes and temperatures. The ideal gas equation can be express as
PV = nRT
Where
P = pressureV = volumen = number of moleR = universal molar gas constantT = TemperatureGiven that 1000 cm³ of air at 20 °C and 101.35 kPa is heated at constant pressure until its volume doubles.
From the ideal gas equation,
P1 = P2 = 101.35 kPaV1 = 1000 cm³V2 = 2000 cm³T1 = 20 + 273 = 293 KT2 = ?To calculate the final temperature of the gas, we will use the formula below
V1/T1 = V2/T2
Since Pressure is constant
Substitute the necessary parameters into the formula
1000/293 = 2000/T2
Cross multiply
1000T2 = 586,000
T2 = 586,000/1000
T2 = 586 K
Therefore, the final temperature of the gas is 586 K
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Use Newton's second law to answer the following:
2nd Law Equations:
F = ma
F
==
m
a=
F= net force (N) m= mass (kg) a= acceleration m/s²
4) A 55 kg athlete is accelerating at a rate of 1.5 m/s². Calculate the net force her running.
m
11
FIA
a
Answer:
82.5N
Explanation:
Newton 2nd law of motion says that momentum is directly proportional to the force applied.
F=change in Momentum
F=Mv-Mu/t
F=M(v-u)/t
remember that acceleration is V-U/T according to the first law of motion.
F=MA
Now for the question
M(mass)=55kg
A(acceleration)=1.5m/s²
F=MA
F=55×1.5
F=82.5N
pls mark as brainliest.
Thanks
what is dynamic equilibrium in chemistry
Chemical equilibrium is a dynamic process where reactants are transformed into products in a forward reaction and products are transformed back into reactants in a reverse reaction.
The forward and reverse reactions move forward at the same rate at equilibrium.
Take the reversible dissociation of nitrogen dioxide (NO₂) from dinitrogen tetroxide (N₂O₄) as an example of a straightforward system with only one reactant and one product. You might remember that NO₂ is what gives smog its characteristic brown hue.Chemical reactions that are forward- and reverse-reacting at the same rate are said to be in a dynamic equilibrium. The ratio of reactants to products at this point does not change over time. The equilibrium constant for simple reactions can be expressed in terms of the rate constant.
To get the response:.
A ⇌ B.
The equilibrium constant K is: K = [B]/[A]
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Part B
Now, open the Tracker experiment: Snowboard Jump Dynamic.
In this Tracker experiment, the motion of the snowboarder has been tracked by mathematically creating a center of mass point. A dynamic model
setup is also created in this file.
With the Tracker Help and your experience of creating the dynamic model for one-dimensional motion, create a dynamic model for the
snowboarder once the snowboarder is airborne, at time t = 0. Repeat the procedure that you followed while creating the one-dimensional models
for the ice sliders.
Use the center of mass point cm as your observed position and to provide initial input values for your dynamic model. For the value of
acceleration due to gravity, g, use 9.81 meters/second². The snowboarder's mass (along with his board) is displayed on the first video screen.
Note that each position measurement could easily be off by a centimeter or two in this video, so the initial velocity values derived from those
positions could be off by several centimeters per second (±0.05 meters/second) here. If the theoretical force laws don't exactly work for you, adjust
the initial velocity values slightly to see how close you can come to a perfect match.
Once you're satisfied with your model, record your model values in the table below..
Answer:
Initial Conditions
Position (cm): 0
Velocity (m/s): 0.06
Acceleration (m/s2): 9.81
Explanation:
protons are located in the
Protons are located in the nucleus.
Protons and neutrons are found inside the nucleus. They group together in the centre of the atom. Protons are positively charged. Each atom has atleast one proton. Protons determine the identity of an atom.
Electrons are found in the orbits that surround the nucleus. They are negatively charged. In a neutral atom, the number of electrons is the same as the number of protons. They are much smaller than protons but have the same charge strength. As the charge of electrons is opposite in sign than protons, these two types of particles attract each other and this type of force is known as the Coloumb force.
Neutrons are the particles that have no charge and are about the same mass as protons. Not all the atoms have neutrons and the number of neutrons is not usually the same as the protons or electrons.
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❧ What is Thermal expansion and contraction of solids?
In physics, the term "thermal expansion" refers to the expansion that takes place when heat is applied to a body. Each molecule in a body has an increased kinetic energy when it is heated. Molecular collisions between molecules happen more frequently as a result of the increase in kinetic energy. Now, when collisions happen, objects with greater kinetic energy than before will create a larger space around them. Practically, this results in growth.
Now, relating it to equation part:
Depending on the force of attraction acting between molecules, each substance has a specific arrangement and packaging. Therefore, the object with less attraction will occupy more space around it while using less kinetic energy than the object with more attraction. Therefore, for various metals, the coefficient of thermal expansion has been established experimentally.
for example: coefficient of thermal expansion of copper is 16.6∗10−6m/mK.
16.6∗10−6m/mK. That means if you apply 1 kelvin of heat on a copper rod of length 1 m, it will expand 16.6∗10−6 m more.
Expansion ∞ Length Lo (i) Note: ∞ is for proportionality sign.
Suppose an iron rod of 10 m and other of 1 m, obviously the larger one will expand more. (other functions remain same)
Expansion ∞ Change in Temperature - Δ (ii)
The more the temperature the higher kinetic energy the molecules posses. Therefore more expansion.
Therefore, on combining Expansion = α L0 ΔT Here α is the thermal expansion of the material.
Now adding L0 on both sides and taking L0 common on the right side (to get the new length of the rod)
L= L0(1+αΔT)
This is for linear expansion, similarly you can relate for superficial and cubical expansion.
The molecules slow down when solids cool. The solids shrink as a result of the molecules being able to move closer together. When heated, solids expand. Additionally, they undergo a process known as thermal contraction when they are cooled.
Thank you,
Eddie
How do you calculate distance traveled horizontally?
x = Vx * t, where t is the time, can be used to calculate the horizontal distance travelled. The formula y = h + Vy * t - g * t^2 / 2 describes vertical distance and g represents the acceleration of gravity.
In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force imposed on an object determines its acceleration in relation to that force. The term "vertical distance," "vertical location," or "level" refers to a position along a vertical axis that is above or below a specific vertical datum (reference level). The separation between two vertical positions is known as the vertical distance.
X =Vx*t
y = h + Vy * t – g * t^2 / 2
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Obtain an expression for the viscous force acting on a sphere of radius r moving in a viscous fluid with velocity v, if the viscosity coefficient is η.
The force of viscosity is F = k r v η. Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity v.
What is viscous force?
Viscosity refers to a material's capacity to resist movement between its layers. It is the force that resists relative motion between the layers. It is also known as viscous force.
What is viscous force formula?
In the above equation, the shear force is the viscous force, which is the only internal resistance that causes shear stress to develop along with the fluid layers. As a result, the viscous force formula will be given as. F=Aμdudy.
Hence F = k r v η is a correct answer.
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PLEASE HELP
Suri, a scientist at NASA, created models of each planet. The models contain the same properties as the actual planets, but at a smaller scale. The first property being tested is the density of the planets. Suri places each planet into a container of water. Which planet will float on top of the water?
A) Mercury
B) Venus
C) Neptune
D) Saturn
Suri places each planet into a container of water. Saturn will float on top of the water because of the least density among all the planets. Therefore, option (D) is correct.
What is the density?The density can be defined as the mass per unit volume. The average density of a substance is equal to the total mass divided by its total volume.
Mathematically, formula for density can be described as,Density = mass/ volume.
The international S.I. unit of density is represented as Kg/m³. The density is an intrinsic characteristic of a substance as it doesn't depend on the size.As the Density was assumed and for the options, the density can be,
For, Mercury can be 5.4 g/cm³ , Venus can be 5.2 g/cm³ , Neptune can be 1.6 g/cm³, and Saturn is 0.7 g/cm³. Therefore, Saturn will float on top of the water.
Thus, Option D is the correct answer.
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A spherical bowling ball of mass 7 kg and radius 0.18 m rolls down a hill that has a vertical height of 7 m. If the ball started from rest at the top, what is its angular momentum at the bottom of the hill? Use two sig figs.
Answer:
er so ue 0.984 kg study your self brhh
A basketball is falling with a force of gravity of 20 N. Air resistance pushes back up with a force of 7 N. Calculate the net force of the object and indicate the direction.
Answer:
Net force = 20 N - 7 N = 13 N downward.
Explanation:
Question 4 (1 point)
What is your heart rate reserve if you have a resting heart rate of 72 and a maximum
heart rate of 208?
196
280
214
136
Answer:214
Explanation:
Explain the difference between Pavlov's classical Conditioning, and Skinner's Operant
Conditioning, give examples to illustrate how behavior can be learned according to each
one of those conditioning. Explain the example after explaining the process.
Skinner's Operant Conditioning focus stressed that the consequences of a behavior will indicate if there is possibility of it being repeated and also the human behavior can be attributed to something in a person's environment.
Pavlov's classical Conditioning stressed that two stimuli can be linked together so that there can be new learned response in indivisuals .
Example of Pavlov's classical Conditioning is that a dogs could be conditioned to salivate at the sound of a bell if it was programmed to ring at the time of food.
Example of Skinner's Operant Conditioning is that of negative reinforcement which was demonstrated by placing a rat in Skinner box which then subjected to unpleasant electric current and make it to experience some discomfort.
What is Classical conditioning?Classical conditioning can as well be described as the Pavlovian or respondent conditioning which is the learning that do take place when two stimuli are linked together and they can bring about new learned response in a person or animal.
Operant conditioning was the one that stressed that the cause of human behavior can be linked to the something in a person's environment.
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what is the percentage of plantet's that are made of gas?
All the matter that will ever be was created from the pure energy
of the...
A: sun.
B: cosmic (microwave) background radiation.
C: extreme stars.
D: Big Bang.
The universe's continual supply of energy and matter comes from the enigmatic big bang. Even if the total amount remains constant, this spreads out over time and becomes less and less beneficial.
However, the energy required for the Big Bang at the beginning of the Universe—that is, of everything—must have come from somewhere. Many cosmologists believe that it originates in the phenomenon known as quantum uncertainty, which allows energy to appear seemingly out of thin air.
In the instants following the Big Bang, the majority of the hydrogen and helium in the universe were produced. Later came the heavier components. A large variety of elements are created and dispersed by supernova explosions.
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An aluminum can is filled to the brim with a liquid. The can and the liquid are heated so their temperatures change by the same amount. The can's initial volume at 6 °C is 7.0 × 10-4 m³. The coefficient of volume expansion for aluminum is 69 x 106 (C°) 1. When the can and the liquid are heated to × 78 °C, 7.8 x 106 m3 of liquid spills over. What is the coefficient of volume expansion of the liquid?
The coefficient of volume expansion of the liquid, βliquid is 2.24 * 10⁻⁴ (C°)⁻¹.
What is the coefficient of volume expansion of the liquid?The coefficient of volume expansion of the liquid is determined as follows:
Let the initial volume of the object be V₀
The change in the volume of the object will be ΔV
The expression for the change in the volume of the object when the temperature of the object changes by ΔT is:
ΔV = βV₀ΔT
where;
β is the coefficient of volume expansion
The data provided is as follows;
The initial volume of liquid and aluminum can, V₀ = 7.0 * 10⁻⁴ m³
The coefficient of volume expansion for aluminum = 69 x 10⁻⁶ (C°)⁻¹
The volume of liquid that spilled out, ΔV = 7.8 * 10⁻⁶ m³
Change in temperature, ΔT = (78 - 6)°C
ΔT = 72 °C
The difference between the change in volume of the liquid and the can is equal to the amount of liquid that spilled out.
ΔV = (βV₀ΔT)liquid - (βV₀ΔT)can
βliquid = ΔV/V₀ΔT + βcan
βliquid = (7.8 * 10⁻⁶ m³) / (7.0 * 10⁻⁴ m³ * 72 °C) + 69 x 10⁻⁶ (C°)⁻¹
βliquid = 2.24 * 10⁻⁴ (C°)⁻¹
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The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.5 m/s . It then slows to a stop, while the cylinder turns one complete revolution. How long does it take for the elevator to stop?
The period of revolution which it takes the elevator to stop is T = 1.51 s.
How to find how long does it take for the elevator to stop?Since the cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor and the elevator is moving upward at a speed of 2.5 m/s . If It then slows to a stop, while the cylinder turns one complete revolution, we desire the time it takes to stop.
Since the time it takes to complete one revolution is its period, we find its period.
What is the period?The period is the time it takes to complete one revolution of motion.
The period is given by T = πD/v where
D = diameter of cyliner and v = speed of elevatorGiven that
D = 1.2 m and v = 2.5 m/sSubstituting the values of the variables into the equation, we have
T = πD/v
T = π(1.2 m)/2.5 m/s
T = π(1.2 m)/2.5 m/s
T = 3.7699 m ÷ 2.5 m/s
T = 1.508 s
T ≅ 1.51 s
So, the period of revolution is T = 1.51 s.
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is lithium batteries a limited quantity item
Lithium and lithium-ion batteries are transported in both large and small volumes.
For instance, a single box could contain as little as five batteries, whereas a pallet could hold over 1,000, or the batteries could be enclosed in or packed with equipment.
On the other hand, lithium batteries, which contain lithium metal, cannot be recharged. Lithium-ion batteries can be recharged but do not contain lithium metal.
Lithium and lithium-ion batteries are mostly utilized in consumer applications and are exempt from dangerous goods/hazardous materials rules. Small lithium batteries are often used in timepieces and cameras. Lithium-ion batteries are extensively used in laptops and cell phones.
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A 8 kg body moves towards the west with a momentum of 30 kg m s¹. A 20 N force to the east acts on the body for a period of 15 s. Determine the magnitude of i) the impulse of the force. ii) the change in the momentum of a body. iii) the final momentum of the body. iv) the final velocity of the body, [5 marks]
Mass of body = 8kg
Momentum of body = [tex]30kgms^{-1}[/tex]
Force = 20N
Time for which force acts = 5s
Impulse of the force = Force × time for which force acts
= 20 × 5= 100Ns
Change of momentum = Impulse of the force= 100Ns
Therefore, the impulse of the force= 100Ns
Change of momentum is 100Ns
The final momentum of the body = 100Ns
The final velocity of the body is 5m/s
What is momentum?
Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction.
According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion.
According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum.
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2. As Theia was approaching Earth, which planet would be affected by the forces that
are present more? Why would it be affected more?
The most affected planet was earth and the moon.
what was theia planet ?
Theia orbited the Sun, approximately following the orbit of the proto-Earth, according to the large impact hypothesis, by keeping close to one of the Sun-Earth system's two more stable Lagrangian points (i.e., either L4 or L5). The gravitational attraction of Jupiter, Venus, or both finally shifted Theia away from that connection, culminating in a collision between Theia and Earth.
According to computer models, Theia was flying at no more than 4 km/s (14,000 km/h) when it collided with Earth at an estimated 45-degree angle.
Initially, the idea proposed that Theia impacted Earth with a glancing blow, ejecting several bits of both the proto-Earth and Theia, with those pieces becoming either one body that became the Moon or two moons that subsequently joined to become the Moon. Such tales suggested that a head-on collision would have destroyed both planets, resulting in a brief second asteroid belt between Venus and Mars' orbits.
Evidence published in January 2016 implies, on the other hand, that the impact was a head-on collision and that Theia's remnants are on Earth and the Moon.
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Block A has a mass of 10 kg and block B has a mass of
6 kg. They are connected by a rope and pulley system as
shown in the diagram on the right.
a. What must the coefficient of static friction be
between block A and the table for neither block to
move?
Whenever there is no movement, acceleration will be 0. Static friction has a coefficient of 0.6.
How is friction defined?A force called friction keeps two solid things from slipping or rolling over one another. Although frictional forces, such the traction required to walk while slipping, may be advantageous, they can provide a significant amount of resistance to motion.
What 3 forms of friction are there?The friction of a moving item is inversely proportional to its normal force and runs perpendicular to it. The interaction of a car's tires with the road causes friction, specifically three types of friction: rolled friction, beginning friction, and sliding. This friction is what allows humans to operate cars at all.
Briefing:Block B's weight W is equal to milligrams.
W = 6 × 9.8
W = 58.8 N
T = μN = W
N on block A = mg
N = 10 × 9.8
N = 98 N
To determine the static friction coefficient, substitute N and T.
58.8 = 98μ
μ = 58.8/98
μ = 0.6
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A mass hanging from a spring oscillates with a period of 0.15 s. Suppose the mass and spring are swung in a horizontal circle, with the free end of the spring at the pivot. What rotation frequency, in rpm, will cause the spring’s length to stretch by 16%?
The frequency of 160 rpm will cause the spring’s length to stretch by 16%.
What is the time period?The time period can be described as the time taken by oscillators to finish one complete oscillation.
[tex]{\displaystyle T =2\pi \sqrt{\frac{m}{k} }[/tex]
Given, the time for oscillation, T = 0.15s
The length of the spring changed, Δr/ r = 0.16
By rearranging the equation:
[tex]{\displaystyle {\frac{k}{m }=\frac{4\pi ^2}{T^2}[/tex]
k (Δr) = mω²r,
[tex]{\displaystyle \omega =\sqrt{\frac{k}{m}. \frac{\triangle r}{r} }[/tex]
[tex]{\displaystyle \omega =\sqrt{\frac{4\pi ^2}{T^2}. \frac{\triangle r}{r} }[/tex]
[tex]{\displaystyle \omega =\sqrt{\frac{4\pi ^2}{(0.15)^2}. (0.16) }[/tex]
ω = 16.75rad/s
ω = 16.75 × 60 / 2π rpm
ω= 160 rpm
Therefore, the frequency of the oscillation will be 160 rpm.
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Name:
For the following problems see the appendices for the relevant data.
1. Use the equation of Hydrostatic Equilibrium
dP(r)
dr = −
GM(r)
r
2
ρ(r)
to estimate the central pressure of the Sun by considering the whole
Sun as one shell.
2. Now use the prior example and the equation of state for an ideal gas
to estimate the central temperature of the Sun.
3. If the gas found within the darker region of a Sunspot has a Teff = 3800
K, then calculate the ratio of the total intensities of the Sunspot to the
surface of the Sun. What is the ratio of intensities at λ = 550 nm?
4. Calculate the energy released at both every stage and total stage of the
triple alpha process. How does this compare to both the CNO cycle
and the PP chain?
Therefore, T_c~1.2×〖10〗^7 K is the equation for hydrostatic equilibrium.
What is meant by hydrostatic equilibrium?A fluid's state where all of its surfaces are horizontal, coinciding, and have constant mass (or density). The opposing forces of gravity and pressure are perfectly balanced. The criterion of hydrostatic equilibrium, which is present in both planetary geology and astrophysics, is used to differentiate between dwarf planets and small solar system entities. The term "hydrostatic" is used to indicate a constant balance between pressure pushing up & gravity pulling down in a fluid.
Where is hydrostatic equilibrium found?A star is said to be in "hydrostatic equilibrium" when the gravitational force, caused by the mass of the star, and the gas pressure, caused by energy production in the star's core, balance each other out during the bulk of the star's existence.
A star must constantly fight against gravity in order to exist. Gravity is constantly pushing the star in the direction of collapse. But because the star's core is so hot, pressure is put on the gas. When the gravitational pull is equalized by this pressure, the star enters a condition of equilibrium known as hydrostatic pressure.
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Questions 14-16
The following diagrams each show an object of mass m moving with instantaneous velocity v. in
each case, F is the applied force, and f is the frictional force exerted on the object. In case I, the
object moves in a circle with constant speed.
(A) None
(B) I only
(C) II only
(D) III only
(E) I, II, and III
14. In which of these cases are velocity and the acceleration in the same direction at the
instant shown?
15. In which of these cases are the velocity and acceleration in opposite directions at the
instant shown?
16. In which of these cases are the velocity and the net force perpendicular to each other at
the instant shown?
14. None of these cases are velocity and the acceleration in the same direction at the instant.
15. I, II, and III of these cases are the velocity and acceleration in opposite directions at the instant
16. case I of these cases are the velocity and the net force perpendicular to each other at the instant.
When is acceleration and velocity in same direction?If the velocity and acceleration are in the same direction (both have the same sign and both positive or negative), the object is accelerating. If the velocity and acceleration are opposite (with opposite signs), the object is slowing down.
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Microwave ovens operte at 2.45 GHz, Bluetooth electronics and internet routers work at2.4 GHz.Predict which object has the longer wavelength, showing your calculations evidence, to support your prediction .
Answer:
The object with the longer wavelength is the microwave oven. This can be determined using the equation λ = c/f, where λ is the wavelength, c is the speed of light (3 x 10^8 m/s), and f is the frequency.
For a microwave oven:
λ = (3 x 10^8 m/s) / (2.45 GHz)
λ = 1.22 x 10^-2 m
For a Bluetooth electronic/internet router:
λ = (3 x 10^8 m/s) / (2.4 GHz)
λ = 1.25 x 10^-2 m
Therefore, the microwave oven has a longer wavelength.
Explanation:
which best explains the law of conservation of mass
The law of conservation of mass emphasizes the fact that it is not possible to create or destroy the mass in this universe. Mass just changes its form from one to another, it is never created nor destroyed.
The statement mentioned above states that the mass of reactants and products have equal mass irrespective of the physical state.If the mass of reactants and products becomes unequal, then it would contradict the law of conservation. However, it is clearly mentioned that the mass of reactants and products will remain the same, hence complimenting the law of conservation of motion.Therefore, the law of conservation of mass is best described by - The mass of the reactants and products is equal and this mass is not dependent on the physical state of the substances.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: Which best describes the law of conservation of mass?
(A) The coefficients in front of the chemicals in the reactants should be based on the physical state of the products.
(B) Products in the form of gases are not considered a part of the total mass change from reactants to products.
(C) When reactants contain both a solid and a liquid, the solid counts toward the overall mass and the liquid does not.
(D) The mass of the reactants and products is equal and is not dependent on the physical state of the substances.]
What are 4 elements of realistic fiction?
Realistic fiction typically usually set in the present or recent past, with characters participating in potential future events and dwelling in potential future or actual future locations.
Which is more superior, nonfiction or fiction?In other words, the main difference between fiction and non-fiction is that fiction is the result of imagination, whereas non-fiction is totally based on facts and reality. Let's now explore these two genres in more detail to help you understand them.
Please define fiction.Fiction is literature that was developed from the author's imagination and is not meant to be regarded seriously as reality, even if it is based on a true story or incident. The literature genre of fiction includes works like novels, short tales, and novellas.
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If you put a 15 kg mass at 0.5 meters where on the other side do you have to put the
10 kg mass to balance the lever?
0.25 meters
0.5 meters
0.75 meters
1 meter
1.25 meter
1.5 meter
1.75 meter
2 meter
Answer:
1.25
Explanation:
Q1. Hannah has three rods (A, B and C) made from different
metals. One rod is a magnet; one is made of copper; and one is
made of iron. She does not know which rod is which. Each rod
has a dot at one end. (a)Hannah uses only a bar magnet to identify
each rod. She puts each pole of the bar magnet next to the
dotted end of each rod. Complete Hannah's observations in the
table below. Write if each rod is copper, iron or a magnet.
The iron rod gets magnetized when placed near a bar magnet due to magnetic induction while the copper rod does not get magnetized.
What is magnetic induction?
Magnetic induction is the process through which a regular piece of iron briefly develops magnetic properties as a result of another magnet being nearby.Consider a tong nail. Place it on a stand's arm. Spread some iron pins throughout the stand's foundation. You'll discover that the pins are not drawn to the nail. Touch a magnet to the nail's tip now. Some pins stick to the nail as the end is brought close to the head. It occurs as a result of the nail transforming into a magnet and acquiring magnetic properties. when the magnet is taken out of the nail's head the pins are about to drop.To know more about magnetic induction, click the link given below:
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A 4,155 kg car moving at 28.3 m/s hits a stationary truck with a mass of 3,172 kg. If the two vehicles become stuck together in the collision, how fast do they move away from the point of impact?
Answer:
Approximately [tex]16.0\; {\rm m\cdot s^{-1}}[/tex].
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex].
In this example, the momentum of the car before the collision will be:
[tex]\begin{aligned}p &= m\, v \\ &= (4155\; {\rm kg})\, (28.3\; {\rm m\cdot s^{-1}}) \\ &\approx 1.17587\times 10^{5}\; {\rm kg \cdot m\cdot s^{-1}} \end{aligned}[/tex].
Since the truck was initially not moving, the initial momentum of the truck will be [tex](3172\; {\rm kg})\, (0\; {\rm m\cdot s^{-1}}) = 0\; {\rm kg \cdot m\cdot s^{-1}}[/tex].
Momentum is conserved in collisions. In other words, the sum of the momentum of the truck and the car will be the same right before and after the collision.
The sum of the momentum of the truck and the car was approximately [tex]1.17587\times 10^{5}\; {\rm kg \cdot m\cdot s^{-1}}[/tex] right before the collision. By the conservation of momentum, the sum of the momentum of the two vehicles right after the collision will also be [tex]1.17587\times 10^{5}\; {\rm kg \cdot m\cdot s^{-1}}\![/tex].
The velocity of the two vehicles right after the collision will be the same since the vehicles are stuck together. Let [tex]v[/tex] denote this velocity.
The sum of the mass of the two vehicles is [tex]m = (4155\; {\rm kg}) + (3172\; {\rm kg}) = 7327\; {\rm kg}[/tex]. Divide the total momentum of the two vehicles by their total mass to find the velocity:
[tex]\begin{aligned}v &= \frac{p}{m} \\ &\approx \frac{1.17587\times 10^{5}\; {\rm kg \cdot m\cdot s^{-1}}}{7327\; {\rm kg}} \\ &\approx 16.0\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
