1 kg of air passing through the turbine produces 1.98 kg m^2/s^2 of energy.
How much electrical energy is produced?The energy produced by the turbine can be calculated as follows:
Energy = Efficiency x Kinetic Energy of air
Efficiency = 0.44
Kinetic Energy of air = 1/2 * Mass * Velocity^2
Mass = 1 kg
Velocity = 9 m/s
Plugging in the values:
Energy = 0.44 * (1/2 * 1 kg * 9^2 m^2/s^2) = 0.44 * (1/2 * 9 kg m^2/s^2)
= 0.44 * 4.5 kg m^2/s^2
= 1.98 kg m^2/s^2
So 1 kg of air passing through the turbine produces 1.98 kg m^2/s^2 of energy.
(b) The power output of the turbine can be calculated as follows:
Power = Energy / Time
Time = 1 s (time taken by 1 kg of air to pass through the turbine)
Plugging in the values:
Power = 1.98 kg m^2/s^2 / 1 s = 1.98 kg m^2/s^3
= 1.98 J/s
= 1.98 Watts
So the power output of the turbine is 1.98 Watts.
(c) The change in velocity can be calculated using the law of conservation of energy:
Initial Kinetic Energy + Work done on air = Final Kinetic Energy
Work done on air = Efficiency x Initial Kinetic Energy
Plugging in the values:
Initial Kinetic Energy = 1/2 * 1 kg * 9^2 m^2/s^2 = 40.5 kg m^2/s^2
Work done on air = 0.44 * 40.5 kg m^2/s^2 = 17.82 kg m^2/s^2
Final Kinetic Energy = 40.5 kg m^2/s^2 - 17.82 kg m^2/s^2 = 22.68 kg m^2/s^2
Final Velocity = sqrt(2 * Final Kinetic Energy / Mass)
Plugging in the values:
Final Velocity = sqrt(2 * 22.68 kg m^2/s^2 / 1 kg) = sqrt(45.36 kg m^2/s^2)
= 6.72 m/s
So the change in velocity of the air upon passing through the turbine is 9 m/s - 6.72 m/s = 2.28 m/s.
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You are pulling your friend on a sled with a constant velocity using a rope held horizontally in the snow. The combined mass of the sled and your friend is [tex]64.0[/tex] kg, and the coefficient of kinetic friction is [tex]0.200[/tex]. Determine the pulling tension on the sled.
The pulling tension on the sled is 125.44 N.
What is the pulling tension on the sled?
The pulling tension on the sled is equal to force of friction acting against the sled since it is moving at a constant velocity.
Mathematically, the formula for the pulling tension is given as;
T = Ff = μmg
where;
μ is the coefficient of frictionm is the total massg is acceleration due to gravityThe pulling tension on the sled is calculated as follows;
T = ( 0.2 ) x ( 64 kg ) x ( 9.8 m/s² )
T = 125.44 N
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Somebody help me please!!!
Answer: Environmental factors are the abiotic factors that interact with and influence the biotic factors. The amount of carbon dioxide, and water clarity affects the sunlight reaching the aquatic organisms.
A ball is thrown vertically upwards from the ground with an initial velocity u. The time taken by the ball to reach a height h is t1. The ball then takes a further time of t2 to return to the ground. Find in terms of t1,t2 and g.
a. the initial velocity u,
b. the height h,
c. the maximum height H reached by the ball.
The initial velocity u be the product of time t and acceleration due to gravity g thus u = gt. Then height that the ball can move with this velocity is 1/2 gt².
What is velocity ?Velocity of a moving object is the measure of its distance travelled per unit time. Velocity is a vector quantity having both magnitude and direction. Acceleration is the rate of change in velocity.
Here, the initial velocity is given u. It is the product of acceleration g and time t. thus, u = gt.
The height travelled within the time t and acceleration g, is written as:
h = 1/2 gt²
Now, when the ball reaches its maximum height, its potential energy becomes equal to the kinetic energy.
that is, 1/2 mv² = mgh
therefore, h = v²/2g.
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[ARs: 21, 250 Hz, 4.70×10) Magne ways t d. The speed of sound in air is 332 m/s and its wave length is 0.044m. Calculate the frequency of the sound and it time period.
The period (T), which is expressed in seconds, is the amount of time required for one full vibration. The frequency of a vibration, for instance, is 10 vibration per second, or 10 hertz, if the duration of a vibrating is 0.1 sec.
What is the relationship between frequency and duration?T = 1/f, where f is the frequency and T is the period, is the formula for time. = c/f, where c represents wave speed (m/s) as f represents frequency (Hz). Cycles per second (Hz) is the abbreviation for the hertz unit. The equation below describes how electromagnetic waves and sound waves behave.
The speed of sound in air?Solid objects transmit sound the fastest. This is because sound waves can move through a solid medium much more swiftly than they can through a liquid or gas since its molecules are much closer together. In actuality, steel conducts sound waves nearly 17 times more quickly than air.
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A hair dryer is rated at 1800 Watts when plugged into a 120 Volt (AC) outlet. What is the Current and Resistance of the dryer?
The electric current flows through the circuit is 15 amp.
The resistance of the circuit is 8 ohm.
What is electric power?The rate at which electrical energy is carried over an electric circuit is known as electric power. The watt, or one joule per second, is the SI unit of power. Watts are subject to the same standard prefixes as other SI units: kilowatts, megawatts, and gigawatts are used.
The electric current flows through the circuit is = (1800 ÷ 120) amp
= 15 amp.
The resistance of the circuit is = (120 ÷ 15) ohm
= 8 ohm.
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What is the angle between the vectors A and - A when they are drawn from a common origin?
Answer:
The angle will be 180°.
hope that helps...
No system is completely closed off from its surroundings.
Which example represents a system that is almost completely closed?
Responses
a campfire
a filled bathtub
a bowl of soup
a sealed, insulated cooler
The correct answer is a sealed, insulated cooler.
What is a closed system?A closed system is a collection of interconnected parts that form a cohesive whole and prevent matter from entering or leaving its boundaries. However, due to thermodynamic laws, no system is truly closed off from all quantities.
Energy and heat can always enter and exit a system. Therefore, a closed system is often described as one that only allows energy or heat to enter and leave, but not matte.
In conclusion, a closed system is a system that is completely isolated from its environment.
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Define the followings terms with manifestation of examples (1) Fluid(1) Viscosity(iii)Drag Force
Q2. Define Fluid Mechanics, Fluid Statistics, And Fluid Kinematics & Fluid Dynamics.
Q3. Find difference between circular motion and rotational motion. Prove that v=wr and a-ar also discuss all the well-known mathematical expression of Torque with theoretical expression
Q 4. What is Projectile motion? Calculate rang, time of flight and maximum height of projectile.
Q5. Discuss Bernoulli's Equation in form of well-known mathematical expression with theoretical expression.
The definition of the terms will be:
(i) Fluid: A fluid is a substance that continuously deforms (flows) under an applied shear stress. Examples of fluids include liquids and gases.
(ii) Viscosity: Viscosity is a measure of a fluid's resistance to flow. It is defined as the ratio of shear stress to the rate of strain in the fluid.
(iii) Drag Force: Drag force is a force acting on a moving object in a fluid that opposes its motion. It is proportional to the velocity squared of the object and the fluid density.
How to explain the terms(i) Fluid Mechanics: Fluid mechanics is the branch of physics that deals with the study of the behavior of fluids at rest and in motion. It covers various topics such as fluid statics, kinematics, and dynamics.
(ii) Fluid Statistics: Fluid statistics deals with the behavior of fluids in terms of the statistical distribution of their properties, such as temperature, pressure, and velocity.
(iii) Fluid Kinematics: Fluid kinematics is the study of fluid motion without considering the forces that cause the motion.
(iv) Fluid Dynamics: Fluid dynamics is the study of fluid motion and the forces that cause the motion. It covers topics such as the conservation of mass, momentum, and energy, and the study of fluid flows, such as laminar and turbulent flows.
(i) Circular Motion: Circular motion is motion in which an object moves along a circular path with a constant speed.
(ii) Rotational Motion: Rotational motion is motion in which an object rotates about a fixed axis.
(iii) v = wr: This equation states that the velocity of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular velocity (w) of the object.
(iv) a = ar: This equation states that the radial acceleration of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular acceleration (a) of the object.
(v) Torque: Torque is the rotational equivalent of force. It is defined as the cross product of the radial distance (r) and the force (F) applied to an object. The mathematical expression of torque is given by τ = r x F, where τ is the torque, r is the radial distance, and F is the force.
Projectile motion is the motion of an object that is projected into the air and then is subject to the force of gravity. To calculate the range (R), time of flight (T), and maximum height (H) of a projectile, the following equations can be used:
R = v0x * T, where v0x is the initial velocity in the x direction and T is the time of flight.
T = 2v0y / g, where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.
H = v0y^2 / (2g), where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.
Bernoulli's equation is a principle that relates pressure and velocity in a fluid system. It states that the pressure of a fluid decreases as its velocity increases. The expression of Bernoulli's equation is given by P + 1/2 ρv^2 + ρgy = constant, where P is the pressure, ρ is the fluid density, v is the fluid velocity, g is the acceleration due to gravity, and y is the height
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The Boring Company has proposed transporting people between Los Angeles and San Francisco, a distance of 540 km, through an underground tube from which the air has been removed to eliminate air drag. Small pods carrying four passengers would accelerate at 2.5 m/s2 until reaching a speed of 330 m/s. Later they would brake at 1.5 m/s2. A launch of one pod per minute would transport 240 passengers per hour, roughly equivalent to one jet plane per hour.
Answer:
235 km/s2
Explanation:
cus mall pods carrying four passengers would accelerate at 2.5 m/s2 until reaching a speed of 330 m/s.
This question is about the acceleration and braking calculations for pods proposed by The Boring Company to transport people between Los Angeles and San Francisco.
Explanation:Physics - High School
The subject of this question is Physics, specifically dealing with the concept of motion and acceleration. The question presents a scenario where The Boring Company proposes transporting people between Los Angeles and San Francisco in underground tubes using small pods. The question asks for the acceleration and braking calculations for the pods.
Acceleration:
Given: Initial velocity (v0) = 0 m/s, Final velocity (v) = 330 m/s, and Acceleration (a) = 2.5 m/s2Use the formula: v = v0 + a x t, where t is the time taken to reach v.Rearrange the formula to solve for t: t = (v - v0) / aSubstitute the given values into the formula to calculate t: t = (330 - 0) / 2.5 = 132 secondsBraking:
Given: Initial velocity (v0) = 330 m/s, Final velocity (v) = 0 m/s, and Acceleration (a) = -1.5 m/s2Follow the same steps as for acceleration, using the given values to calculate t.By finding the time taken for acceleration and braking, you can determine the total travel time for one pod.
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short note on how to measure with Metre rule Micrometre screw gauge Vernier Caliper
Hold the measurement target between the screw gauge's anvil and spindle while applying light pressure. the main size reading of the a circular scale just before zero.
How are a vernier caliper and screw gauge used?Vernier calipers can be used for alike external and internal measurements, while screw gauges can only be used for external measurements. A vernier caliper has a minimum count of 0.001 cm while a screw gauge has a minimum count of 0.01 cm.
What is the purpose of a metre ruler?This metre ruler, commonly known as a metre stick, is used to measure short distances and lengths up with one metre. It is a measuring tool used to determine distances and rule straight lines in engineering drawings, geometry, engineering, printing, and construction.
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A string is stretched between two clamps held 4.04 m apart. The string is made to oscillate at its third harmonic frequency.
Calculate the distance in m between two adjacent nodes
The fourth harmonic of B matches the frequency of A 's first harmonic, and the distance is ¼fn.
What is frequency?
The number of waves that pass through a fixed point in a given amount of time is defined as frequency. If a wave takes 1/2 second to pass, the frequency is 2 per second. If it takes one hundredth of an hour, the frequency is one hundred per hour.
The hertz unit, named after the 19th-century German physicist Heinrich Rudolf Hertz, is typically used to measure frequency. The hertz measurement, abbreviated Hz, is the number of waves per second that pass by. An "A" note on a violin string, for example, vibrates at about 440 Hz (440 vibrations per second).
The n th resonant frequency of string A is
fn,A
= vA/2IA× n
= n/2L √τ/μ
while for string B it is
fn,B
= vB/2IB × n
= n/8L √τ/μ
= ¼fn,A
Thus, we see f1,A = f4,B .
That is, the fourth harmonic of B matches the frequency of A 's first harmonic.
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to what temperature must 0.588 moles of ammonia gas have to be heated in a 15.0 L container in order for it to exert a pressure of 3.50 kPa
According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.
What is the temperature ?Real gases are simplified into ideal gases to make them easier to understand.It is believed to be made up of point particles that move randomly and independently.Additionally, it is believed that perfect gas molecules by themselves have no volume.Three state variables—absolute pressure (P), volume (V), and absolute temperature—define an ideal gas (T).If the quantity of material, number of moles n, remains constant and R is the molar constant of gases, then the relationship between them forms the ideal gas law, an equation that links the three variables:P×V = n×R×T Finally, to a temperature of 1088.85 K or 815.85°C must 0.588 moles of NH3 gas have to be heated in a 15.0 L container in order for it to exert a pressure of 3.50 atm.To learn more about temperature refer
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An engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.
As an indication of the amount of friction in the pivot, what should the engineer measure?
Responses
the radius of the ball bearings before the pivot has been used
the radius of the ball bearings before the pivot has been used
the increase in mass of the ball bearings when the pivot rotates
the increase in mass of the ball bearings when the pivot rotates
the temperature increase in the ball bearings when the pivot rotates
the temperature increase in the ball bearings when the pivot rotates
the number of ball bearings remaining after the pivot has been used
the number of ball bearings remaining after the pivot has been used
The engineer should measure the radius of the ball bearings before the pivot has been used.
What is friction? What is dry friction?Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.Given is that an engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.
As an indication of the amount of friction in the pivot, the engineer should measure the radius of the ball bearings before the pivot has been used.
Therefore, the engineer should measure the radius of the ball bearings before the pivot has been used.
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how to calculate the magnitude and direction of vector A-vectorB
A-B
Answer:
Let vector C(x,y) be A-B.
Explanation:
Now the direction is given by: tan-1(y/x)
Use the correct angle on the basis in which quadrant the vector C lies.
Magnitude = sqrt(x^2 + y^2)
You pushed the 25kg table to the right with the force of 213 N. What is the work done by your push on the table after covering a distance of 3.5 m?
a tire is rapidly inflated. What type of thermodynamic process is this?
An adiabatic process is a thermodynamic process in which there is no heat transfer from the system to the environment; instead, the heat is maintained constant.
How do you define thermodynamically?Being or having to do with a system of atoms, molecules, colloidal particles, or bigger things that is studied as an isolated group in terms of thermodynamic processes. thermodynamically.
An illustration of thermodynamicsWashing machines, refrigerators, and air conditioners are a few examples of thermodynamic systems. The refrigerant in an air conditioner circulates inside a closed system, changing its pressure at various places to facilitate the transmission of heat.
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If 0.035 pC of charge is transferred via the movement of A1³+ ions, how many of these must have been transferred in total?
If the movement of A13+ ions transfers 0.035 pC of charge, 72917 of these must have been transferred in total.
Determine the total number of ions that must be transferred.Three extra protons are present in each ion. As a result, the additional charge on each = C
Charge total = 0.035 pC
Q (total charge) = C
Let n be the number of ions.
In response to the question:
n×3×1.6×10∧-19=0.035×10∧-12
n=0.035×10∧-12/3×1.6×10∧-19
n=7.29167×10∧4
n = 72917
As a result, the total number of ions required for transfer is 72917.
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35 points IM HELP PLEASEEEE
Answer:
Explanation:
rubber ball, glass jar, motor oil, and tree
4. A cylindrical compression: sample is subjected to axial Vertical axial compressive stress (oa) parallel to the length of the core is taken to higher level. Using the Mohr Stress diagram, calculate the values of normal stress and shear stress. Ob = 500 Pa Ja = 1500 Pa b = 50°
The normal stress is 1292.5 Pa and the shear stress is 330 Pa on the plane at an angle of 50° relative to the principal stress axes.
What is shear stress?Shear stress is described as the component of stress coplanar with a material cross section which arises from the shear force, the component of force vector parallel to the material cross section.
We will calculate the major and minor principal stresses:
σ1 = (ob + ja) / 2 + (ja - ob) / 2 * cos(2b)
σ2 = (ob + ja) / 2 - (ja - ob) / 2 * cos(2b)
The normal stress on the plane at angle b can be calculated as:
σ = (σ1 + σ2) / 2 + (σ1 - σ2) / 2 * cos(2b)
The shear stress on the plane at angle b can be calculated as:
τ = (σ1 - σ2) / 2 * sin(2b)
Applying the formulas, we have:
σ1 = (500 + 1500) / 2 + (1500 - 500) / 2 * cos(2 * 50) = 1000 + 500 * 0.87 = 1000 + 435 = 1435 Pa
σ2 = (500 + 1500) / 2 - (1500 - 500) / 2 * cos(2 * 50) = 1000 - 500 * 0.87 = 1000 - 435 = 565 Pa
σ = (1435 + 565) / 2 + (1435 - 565) / 2 * cos(2 * 50) = 1000 + 435 * cos(100) = 1000 + 292.5 = 1292.5 Pa
τ = (1435 - 565) / 2 * sin(2 * 50) = 435 * sin(100) = 435 * 0.76 = 330 Pa
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Compute the work (in joules) required to compress a spring 7 cm more when it is already compressed 6 cm, assuming that the spring constant is k = 180 N/m. (Use decimal notation. Give your answer to two decimal places.)
Answer:
Explanation:
d8e fool
Gas in a container is at a pressure of 1.6 x 10^5 pa and a volume of 4.0 m^3 What is the work done on the gas if it is compressed to 1/4 of its initial volume?
The amount of effort put forward if the gas is compressed to only 1/4 of its original volume W = P x AV equals (1,6 x 10 5 Pa) (4 m3). 5. W = 6,4 x 10 J.
Are people hazardous to gas?Generally speaking, minimal contact with gasoline is safe. A person's health can be significantly harmed by prolonged exposure to gasoline and its vapors since they are poisonous. Humans have created gasoline, which is largely used to power cars and other engine-powered machinery.
Who has the best gas prices nearby?Chevron has the greatest overall customer satisfaction ratings among the biggest national chains in America. Over 7,800 stores are within its reach, and while some petrol stations include quick food marts, one in North Hollywood goes above and beyond.
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What affects the
flow of electricity?
Answer:
Heating effects impact the flow of the electricity.
Explanation:
A football is inflated in the locker room before the
game. The air warms as it is pumped, so it enters
the ball at a temperature of 30°C. The ball is
inflated to a gauge pressure of 13 psi. The ball is
used for play at 5.0°C.
Once the ball cools, what is the gauge pressure in the ball? Assume that atmospheric pressure is 14.7 psi.
According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Describe the three Pythagorean theorems?A, B, and C are the three positive integers, and the Pythagorean triples are written as a2+b2 = c2. These triples are shown as (a,b,c). Here, the right-angled triangle's base, hypotenuse, and perpendicular are denoted by letters a, b, and c, respectively. The most popular and diminutive triplets include (3,4,5).
O is at a right angle in AOB.
∴ By using the Pythagoras Theorem, (AB) 2 = (OB) 2 + (OA) 2.
∴ He has traveled 5 kilometers.
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if a weather balloon in flight give up 15 j of energy as heat and the gas within it does 13 j of work on the outside air, by how much does its internal energy change?
The change in the internal energy of the gas is -28 J
What is the internal energy?Internal energy (U) is the total energy of a thermodynamic system, including the kinetic and potential energies of its particles, as well as its internal molecular energy. It is a thermodynamic state function and depends on the temperature, pressure, and other variables that describe the state of a system.
From the statement of the first law of thermodynamics, we know that we have;
ΔU = q + w
Since the heat was given up and work was done q = -ve
w = -ve Hence we have;
ΔU = -15J - 13J
= -28 J
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A person rides in an elevator.
What is the equal and opposite force for the Earth’s force of gravity pulling down on the person as described by Newton's third law?
A) person's force of gravity pulls up on the elevator
B) person's normal force pushes down on the elevator
C) elevator's floor normal force pushes up on the person
D) person's force of gravity pulls up on the earth
The equal and the opposite force is the person's force of gravity pulls up on the elevator. Option A
What is an elevator?We know that the elevator is the kind of device that can be used when we are going up or down a high rise building. We have to note that the elevator that we talking about will also work based on the law of Newton.
We have to note that for every force there is an equal and an opposite force and the same is true when you are using the elevator to move up or down as we can see here.
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A pan of water is boiling but does not change in temperature. The energy that is needed to turn the water into a gas is called the latent ____________ ____________ ________________ What three words coplete the sentence?
The energy that is needed to turn the water into a gas is called the latent heat of vaporization.
What is latent heat of vaporization?Latent heat of vaporization is the heat capacity or energy that is needed to turn the water in liquid state into a gas without any rise or change in temperature of the water.
Mathematically, the formula for the energy that is needed to turn the water into a gas is given as;
Q = mLv
where;
Q is the energy neededm is the mass of the waterLv is the Latent heat of vaporizationThus, the three words needed to complete the sentence are heat of vaporization.
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What do renewable resources and non-renewable resources have in common?
Answer:
They are used for energy such as electricity
Use the force diagrams below to determine whether the cart is not moving, moving at a constant speed speeding up or slowing down
a) Cart is speeding up ; b) cart is slowing down and c) cart is not moving.
What do you understand by force and friction?Force of friction is a contact force whereas friction is the force that resists motion when surface of one object comes in contact with surface of another. Example is the force of friction between two stones rubbed with each other.
Static friction magnitude is directly proportional to normal force magnitude and the roughness between sliding surfaces. The ratio of magnitude of frictional force divided by normal force magnitude is called as coefficient of friction. Friction takes place at the point of contact between two bodies.
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consider two bodies A and B of masses m1 and m2 moving along the same straight line in the same direction with velocities u1 and u2. the bodies A and B suffer a head on collision when they strike and continue to move along the same straight line of velocities v1 and v2 respectively. Assume the collision is elastic , show that u1 + v1 = u2 + v2
As the collision is elastic, u₁ + u₂ = v₁ + v₂ must be satisfied.
What is law of momentum conservation?According to the law of momentum conservation, momentum is never created nor destroyed inside a problem domain.
Before collision,
velocity of body A = u₁ velocity of body B = u₂
After collision,
velocity of body A = v₁ velocity of body B = v₂
Hence, according to law of momentum conservation
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
As the collision is elastic, total kinetic energy is also conserved.
1/2m₁u₁² + 1/2m₂u₂² = 1/2m₁v₁² + 1/2m₂v₂²
This two equation satisfy that:
u₁ + u₂ = v₁ + v₂
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A whale swims due EAST for a distance of 6 km, turns around and goes due WEST for 1 km, and finally turns around again and heads 3 km due EAST. What is the total distance traveled by the whale?
The total distance travelled by the whale is 3 km.
What is difference between distance and displacement?The complete length of the path between any two points is called distance.
Displacement is the direct length between any two points when measured along the minimum path between them. It is a straight line joining initial and final points.
Given is that a whale swims due EAST for a distance of 6 km, turns around and goes due WEST for 1 km, and finally turns around again and heads 3 km due EAST.
The total distance travelled by the whale will be -
{d} = 6 km + 1 km + 3 km
{d} = 3 km
Therefore, the total distance travelled by the whale is 3 km.
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