The average force exerted as the displacement from 0 to x changes is 12kx. W = 12kx² is the work done when stretching or compressing a spring a distance x from its equilibrium position.
The Hooke's Law Calculator employs the formula Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, or distance the spring is stretched. Hooke's Law states that when a spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The spring constant can be calculated as follows: k = -F/x, where k is the spring constant. The Young's modulus (E) is a material property that indicates how easily it can stretch and deform. It is defined as the ratio of tensile stress () to tensile strain ().
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a block slides to the right with speed v on a frictionless floor and collides with a bigger block which is initially at rest. after the collision the speed of both blocks is v/3 in opposite directions. 1)was the collision elastic?
We can see that the collision of the objects is an elastic collision.
What is the kind of collision?Let us note that a collision could be elastic or in elastic. We can say that a Collison could be judged or said or designated to be an elastic collision when the kinetic energy and the momentum of the system that is undergoing the collision is conserved.
Let us recall that the principle of the conservation of the linear momentum states that the momentum before collision is equal to the total momentum after Collison. In other words, the momentum of the system does not change. Hence, the momentum of one of the objects must be transferred to the other object when they collide in a closed system
With that said, we can see that the two bocks move in opposite directions thus it is an elastic collision as we can see from the description in this answer.
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A train begins to slow down at a rate of -2.5 m/s2 and it takes 137 seconds to come to a complete stop. How fast was the train going when it started to slow down?
The train was moving with a velocity of 342.5 m/s when it started to slow down
How do I determine the initial velocity of the train?From the question given above, the following data were obtained:
Deceleration (a) = -2.5 m/s²Time (t) = 137 secondsFinal velocity (v) = 0 m/sInitial velocity (u) = ?Considering the above data, we can obtain the initial velocity of the train as follow:
v = u + at
0 = u + (-2.5 × 137)
0 = u - 342.5
Collect like terms
u = 0 + 342.5
u = 342.5 m/s
Thus, from the above calculation, we can say that the train was moving with a velocity of 342.5 m/s
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a pickup truck, carrying a box on a level road, accelerates forward from a stoplight. assuming that the box does not slide on the bed of the truck, as the truck is accelerating forward, the frictional force exerted on the box by the bed of the truck is in which direction?
The static frictional force therefore contributes to the net force that must act on the crate in order to accelerate it. The static frictional force is directed forward, up the hill, because the crate has a tendency to slide backward.
As long as the crate accelerates at the same rate as the truck, it won't slide. The static frictional force therefore contributes to the net force that must act on the crate in order to accelerate it.
The static frictional force is directed forward, up the hill, because the crate has a tendency to slide backward. To cause a commensurate rise in the crate's acceleration, the truck's acceleration must likewise increase.
However, the static frictional force can only build up to a certain point, after which the crate and vehicle will accelerate to their maximum rate. The crate will slip if the acceleration is raised much further.
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Answer questions on redox reactions och of the following chemical reactions, identify the chemical that is used and the chemical that is reduced. Give a reason for your answer. identify the oxidising and reducing agents. 4Na+O2->2Na2O
The reducing agent in the reaction is Sodium and the oxidizing agent in the reaction is oxygen.
The provided chemical reaction is,
4Na+O₂ → 2Na₂O
Oxidation is the process of addition of oxygen or the removal of electrons from the product. Oxidation number increases in this case. Compound which undergoes reduction is called oxidizing agent.
Reduction is the process of removal of oxygen or the addition of electrons from the product. Oxidation number decreases in this case. compound which undergoes oxidation is called reducing agent.
In the reaction,
Oxygen is added to Na. So, Na is oxidized, hence it is the reducing agent and Oxygen is getting reduced, so, it is the oxidizing agent.
Reducing agent → Na.
Oxidizing agent → O₂.
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the force of friction is described by the force of friction is described by the law of friction. the theory of friction. a model of friction. the friction hypothesis.
Answer: coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F/N, where F is the frictional force and N is the normal force.
Explanation:
A car with the mass of 2230 kg is accelerating at a rate of 14 m/s^2. What is the force that the engine is producing?
Explanation:
Force = mass x accelaration
Force = 2230 x 14
Force = 31,220 N or 31.22 kN
A person with moment of inertia i is spinning at an angular velocity ω. At some point in time he moves his arm position such that his moment of inertia changes to 2i. What is the rotational kinetic energy k of the person after the change, in terms of his initial rotational kinetic energy ?.
A person with moment of inertia i is spinning at an angular velocity ω. At some point in time he moves his arm position such that his moment of inertia changes to 2i. the rotational kinetic energy k of the person after the change, in terms of his initial rotational kinetic energy is 1/4 .
The moment of inertia of a rigid body, also referred to as the mass moment of inertia, angular mass, second moment of mass, or more precisely, rotational inertia, is a property that establishes the torque required for the desired angular acceleration about a rotational axis, much like mass establishes the force required for the desired acceleration. The amount of torque required to modify the body's rate of rotation depends on the mass distribution of the body and the axis selected. For example, larger moments require more torque.
The moment of inertia for a point mass is equal to the mass squared by the perpendicular distance from the axis of rotation. This is an extensive (additive) property.
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an athlete stretches a spring an extra 29.0 cm beyond its initial length. how much energy has he transferred to the spring, if the spring constant is 68.0 n/cm ?
If the spring is constant at 68.0 n/cm, the energy he has transferred to the spring is 2028 N.
Hooke's law, which asserts that, must be applied,
F = k x
The spring constant in N/cm is k.
The extension in centimeters is x.
By incorporating x = 35.7 cm and k = 56.8 N / c m, we obtain the force, which is equivalent to
F = 56.8 N/cm 35.7 cm = 2027.76 N
2028 N, rounded to the next whole value.
The spring's shape, which was created by coiling a metal wire into tight loops pressed up against one another, gives it elastic properties. When an external force is applied to a spring, a restoring force always acts in the direction of the spring's equilibrium state. The spring stores mechanical energy.
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some of the plans to restore the everglades will require millions of dollars and would negatively affect local farmers. what information would you consider in deciding what should be done?
The information which would be considered in deciding what should be done in restoring everglades is the cost, terrain and environmental effects.
What is Everglade?This is referred to a natural region of tropical wetlands which can be found in the southern region of the U.S. state of Florida. It is home to a lot of organisms ranging from plants to animals which ensures that they survive the various conditions due to the availability of nutrients etc.
The information which would be considered in deciding what should be done in restoring everglades is the cost as a cheap reliable method is preferable and also the effect on the environment as a whole.
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L Pretest: Unit 4Question 7 of 22What is the wavelength of an electromagnetic wave that has a frequency of1.82 x 10^18 Hz in a vacuum? (The speed of light in a vacuum is 3.00 x 10^8m/s.)A. 1.65 x 10-10 mB. 5.46 x 1026 mC. 6.07 x 109 m
A. 1.65 x 10^-10 m
Explanations:The relationship between the speed(v), frequency(f), and wavelength(λ) of an electromagnetic wave is given as:
v = λf
From the question:
[tex]\begin{gathered} v\text{ = 3}\times10^8m\text{ /s} \\ f\text{ = 1.82}\times10^{18}Hz \end{gathered}[/tex]Substituting the values of v and f into the equation v = λf
[tex]\begin{gathered} 3\times10^8=\lambda\times(1.82\times10^{18}) \\ \lambda\text{ = }\frac{3\times10^8}{1.82\times10^{18}} \\ \lambda\text{ = }1.65\text{ }\times10^{-10}m \end{gathered}[/tex]Therefore, the wavelength of the electromagnetic wave is 1.65 x 10^-10 m
If we drop a ball from the stand and then dropped into sand, at what point did the energy of the ball transform from potential energy into kinetic energy
Answer:
When it is dropping into the sand.
Which is phrase is an example of kinetic energy
The phrase "energy that a ball has and produces as it rolls down a hill" is an example of kinetic energy.
What is kinetic energy?Kinetic energy is a type of energy that a particle or an object possesses as a result of its motion. By exerting a net force on an object, work is done, which transfers energy; as a result, the object accelerates and gains kinetic energy.
A moving object or particle's ability to move depends on both its mass and motion. This is known as kinetic energy. Translation (or movement along a path from one place to another), rotation about an axis, vibration, or any combination of motions are examples of possible types of motion.
A body's squared translational kinetic energy, or 1/2mv², is equal to one-half the product of its mass, m, and its velocity, v.
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Alyssa mixed 12 mL of a salt solution with 9mL of a 39% salt solution, to make a 56% salt solution. Find the percent salt concentration of the first solution.
Alyssa mixed 12 mL of a salt solution with 9mL of a 39% salt solution, to make a 56% salt solution. The percent salt concentration of the first solution will be 78.08 %.
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.)
let x = percentage of 12ml of solution
12x + 0.39 (9) = 0.56 (12 + 11)
12x + 3.51 = 12.88
x = 0.7808
The percent salt concentration of the first solution will be 78.08 %
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A 0.0254 m long magnet is held next toa wire carrying 0.530 A of current, sothat the field is perpendicular to the wire.The resulting magnetic force is3.67*10^-4 N. What is the strength ofthe field?(Unit = T)Magnetic Field (T)
The force of a magentic field is given by the next formula
[tex]F=IBL\cdot sin(\theta)[/tex]We have F force, I current, B magnetic field, L lenght and sin theta which represents the angle between them. This is important because this interactions depends on the direction.
[tex]\begin{gathered} B=\frac{F}{IL\cdot sin(\theta)} \\ B=\frac{3.67\cdot10^{-4}N}{0.0254m\cdot0.53A\cdot sin(90)} \\ B=0.027T \end{gathered}[/tex]Based on the information, the angle is 90 because is perpendicular, as it is mentioned on the text
a careless person accidentally grasps the terminals of a 20.0-kv power supply (do not do this!). the resistance of the path through his body is 11 kω.
Current passing through his body is 1.67 A. power dissipated in his body is 27.8 kW and internal resistance is 20.0 MΩ .Low enough voltage levels allow the power supply to work with low resistance devices.
Voltage is the pressure from the power source of an electrical circuit that drives charged electrons (current) through a conducting loop, allowing them to perform tasks like lighting a lamp.
Briefly stated, voltage equals pressure and is measured in volts (V). The phrase honours Italian physicist Alessandro Volta (1745–1827), who developed the voltaic pile, the predecessor of the modern household battery. Voltage was first referred to as electromotive force in the early days of electricity (emf). Voltage is therefore represented by the letter E in equations like Ohm's Law, and the terms "voltage" and "potential difference" are sometimes used interchangeably. A better way to define potential difference is as the difference in potential energy between two places in a circuit. A simple indicator is the potential difference or voltage.
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Use your periodic table to determine the following information
about the element Sulfur (S).
a. Number of protons =
b. Number of electrons =
c. Number of neutrons =
According to Newton's
2nd law of motion, if you hit a baseball with a bat it will
• hurt your hand from the reaction force
O accelerate according to the applied force
• fly in a straight line
unless an outside force changes its
course
• fall to the ground because of
gravitational pull
Answer:
Accelerate according to the applied force.
Explanation:
According to Newton's second law of motion, a force applied on a body produces acceleration in its own direction. Therefore, if you hit a baseball with a bat it will accelerate according to the applied force.
Answer:
Explanation:
Given:
m - Baseball mass
F - Force applied from the side of the bat to the baseball
_________________________
a - ?
2 Newton's law:
a = F / m
Correct answer:
Accelerate according to the applied force
A body is under the action of two forces 7n and 10n. find the resultant of the two forces if the two are inclined at an angle of 60degrees to each other
Mass x Acceleration equals force. Net force is equal to 7N plus 10N, or 17N, at a 60-degree angle with R equal to 12.2N.
How does physics define force?The definition of force in physics is: The push and pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A force is an effect that tends to move a stationary object into motion, stop a moving object, alter the direction and speed of a moving object, or alter the size and shape of a body.
Which four sorts of forces are there?Any of the four fundamental forces in physics—gravitational, electromagnetism, strong, and weak—that control how objects and particles interact as well as how some particles decay—is referred to as a fundamental force or fundamental interaction.
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a hawk flies in a horizontal arc of radius 10.3 m at a constant speed of 4.8 m/s. find its centripetal acceleration. answer in units of m/s 2 . 013 (part 2 of 2) 10.0 points it continues to fly along the same horizontal arc but increases its speed at the rate of 0.63 m/s 2 . find the magnitude of acceleration under these new conditions. answer in units of m/s 2 .
The hawk’s centripetal acceleration is 2.23 m/s²
The magnitude of the acceleration under new conditions is 2.316 m/s²
radius of the horizontal arc = 10.3 m
the initial constant speed = 4.8 m/s
we know that the centripetal acceleration is given by
[tex]a_{c}[/tex] = [tex]\frac{v^{2} }{r}[/tex]
[tex]a_{c}[/tex] = 23.04/10.3
[tex]a_{c}[/tex] = 2.23 m/s²
It continues to fly but now with some tangential acceleration
[tex]a_{t}[/tex] = 0.63 m/s²
therefore the net value of acceleration is given by the resultant of the centripetal acceleration and the tangential acceleration
so
[tex]a_{net}[/tex] = [tex]\sqrt{a_{c} ^{2} +a_{t} ^{2} }[/tex]
[tex]a_{net}[/tex] = [tex]\sqrt{4.97 + 0.396}[/tex]
[tex]a_{net}[/tex] = 2.316 m/s²
So the magnitude of net acceleration will become 2.316 m/s².
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the most likely places where stars and planetary systems are forming in the universe are- the most likely places where stars and planetary systems are forming in the universe are- in nebulae composed of gas and dust. in regions surrounding quasars. in the rarified space between galaxies. in the centers of galaxies.
The most likely places where stars and planetary systems are forming in the universe are in nebulae composed of gas and dust.
Stars are massive, hot, luminous bodies of gas that emit large amounts of radiation and derive their energy from nuclear fusion. A planetary system comprises of a star and all the objects that revolve around it.
Stars are born in nebulae. They are a cluster of gas and dust scattered throughout a galaxy. Gravitational attraction between the gas and dust particles causes turbulence, which gives rise to knots. When these knots acquire sufficient mass, they collapse, and when the reach a certain temperature, nuclear fusion of hydrogen atoms into helium atoms begins. At this point, star has been born.
Planets can be said to be formed as a by-product of star formation, through a process called accretion. Smaller objects stick together through gravity, forming bigger objects. Gravitational pull from the nearby star and the object's own momentum causes the object to revolve round the star. At this point, a planet has been born.
Thus, the most likely places where stars and planetary systems are forming in the universe are in nebulae composed of gas and dust.
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1. What is the speed of a rocket that travels 900 meters in 10.2 seconds?
Speed is a scalar quantity which only has magnitude but lack of direction. Speed is the distance that an object travels divided by the time it takes. Therefore we can mathematically express as:
[tex]\displaystyle v=\dfrac{s}{t}[/tex]
Where v is speed, s is distance and t is time. From the problem, we are given the distance equal 900 meters and time it takes is 10.2 seconds. Therefore substitute s = 900 meters and t = 10.2 seconds.
[tex]\displaystyle{v=\dfrac{900 \ \, \sf{meters}}{10.2 \ \, \sf{seconds}}}\\\\\displaystyle{v=88.24 \ \, \sf{m/s}}[/tex]
Therefore, the speed of rocket is 88.24 m/s or 90 m/s when rounding to one significant figure.
i’m willing to give anybody extra points plus brainliest if anybody is willing to help me with this. please help!! this is due soon.
1. The box will move to the right with a force of 50 N when a 75 N force is applied to the left.
2. The box will not move if a 50 N force us applied to the left.
For Balanced, B or Unbalanced forces, U the correct option are:
B A person jogging at a constant speedU A car accelerating at a green light.U Pushing a lawnmower across the yardB A cookie sitting on a plate.U Slowing down to stop at a red light.U A bowling ball knocking over pins.B A book sitting on a shelf.U A linebacker tackling a running back.B A person sitting on a chair.B A plane flying at a constant speed.What are balanced and unbalanced?Balanced forces are forces that do not produce an acceleration of an object. Net force will be zero.
Unbalanced forces are forces that produce an acceleration of a body. Net force will be greater than zero.
Considering the boxes:
1. Net force = 50 N
Forces to the left = 25 N + x
Forces to the right = 50 N
Net force = Force to the left + force to the right
50 N = 25 N + x - 50
x = 75 N
2. Net force = 0 N
Forces to the left = 75 N + x
Forces to the right = 125 N
Net force = Force to the left + force to the right
0 N = 75 N + x -125
x = 50 N
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A spring with a spring of 4.75n/m applies a force of 3.25N when it is stretched. How much was the spring compressed
The spring was compressed by 0.684 m
Explanation:Soring constant, k = 4.75
The applied force, F = 3.25 N
Note that spring will compress back by the same distance it expands
Compression, x = ?
Using the equation F = kx
3.25 = 4.75x
x = 3.25/4.75
x = 0.684 m
The spring was compressed by 0.684 m
If you were walking your dog and started at A went to B then to C and finally returned to A what would your speed be if it took you 5 seconds, what would
your velocity be?
Answer:
Speed 5 m/s , velocity 0 m/s
Explanation:
s= d/t = 25/5 = 5 m/s
υ= Δx/Δt = 0/5 = 0 m/s
1. A skydiver jumps out of a plane and is in freefall. What is their acceleration?
If a skydiver jumps out of a plane and is in freefall, then his acceleration would be 9.8 meters / second².
What is gravity?It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.
As given in the problem statement if a skydiver jumps out of a plane and is in freefall, the acceleration due to gravity would be 9.8 meters / second².
Thus, if a skydiver jumps out of a plane and is in freefall, then its acceleration due to gravity would be 9.8 meters / second².
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what will the killograms be of 981N and 160N
The mass of the objects in kilograms could be obtained as; 100 Kg and 16.3 Kg.
What is weight?The term weight has to do with the effect of the gravitational force on an object hat is found on the surface of the earth. Note that the weight is a force an d the direction of the weight must always be towards the center of the earth.
Now we are asked to convert 981N and 160N to kilograms. Recall that the weight is the product of the mass of the object in kilograms to the acceleration due to gravity.
Mass = weight/acceleration due to gravity
1) 981N/9.8 m/s^2
= 100 Kg
2) 160N/9.8 m/s^2
= 16.3 Kg
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question 1.4 does the multimeter set to measure voltage act as a large resistance, or a small resistance? explain, based on your observations. why does it need to be designed this way?
Multimeter conducts like a big resistor. Since current will be very low due to the very high resistance, the circuit's overall current won't be impacted in the slightest. It will transmit the appropriate voltage
A passive electrical device known as a resistor adds resistance to the flow of electric current. They can be discovered in virtually all electrical networks and electronic circuits. One ampere of current (A) and a one volt (V) drop across a resistor's terminals produce an ohm, which is the resistance that results. The voltage at the terminal ends determines the current in a direct proportion. Ohm's law demonstrates how to calculate this ratio. Multiple applications exist for resistors. Among some examples are voltage division, heat generation, matching and loading circuits, current limiters for electric current, gain control, and time constant setting. With resistance values spanning a range of more than nine orders of magnitude, they are readily available on the market. Units of resister is omhs.In the International System of Units, the ohms serves as the reference unit for electrical resistance.
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If you have two different sized velocity vectors representing two objects moving in the same direction, then what can you conclude? a. Their magnitudes are the same. c. One object has a greater velocity then the other. b. Their magnitudes are different. d. Both B and C.
If you have two different sized velocity vectors representing two objects moving in the same direction, then you can conclude both B and C are correct.
A velocity vector is the rate of change of an object's position. A velocity vector has both magnitude and direction. The magnitude of the velocity vector gives the speed of the object while the direction of the vector gives the direction of the object's velocity.
If a vector's size is longer than the other, it means that the vector has a magnitude higher than the other. If the magnitude is higher, the velocity will be higher.
Therefore, if you have two different sized velocity vectors representing two objects moving in the same direction, then you can conclude both B and C are correct.
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a length of 20 gauge copper wire of diameter 0.8118mm is formed into a circular loop with a radius of 30 cm a magnetic field perpendicular to the plane of the loop increases from zero to 18 mt in 28 seconds find the average electrical power dissipated in the process
Here, a length of 20 go copperware is provided for us. Having a right-handed tiny dilates diameter of.8118 millimeters, it is shaped into a circular loop with a 17 centimeter radius.
Assume that the capital r is 17 centimeters, or.107 met, and that the magnetic field is growing from 0 to so that 1 is equal to 0 and b 2 is equal to 11 milli tesla, or 10 to the power of 11 minus 3 tesla, in time of.24 seconds. Okay, so you need to figure out the average power lost during this procedure. In addition, copper has a resistivity of 1.72 times 10 to the minus 8 right meter. Therefore, in this case, we first determine the induced emf in the loop.
In other words, emf will equal the change in magnetic flux, which is fi 2 minus pi 1 by t, right, and fight will equal b 2 a minus b 1 an area over here, b. 2 is we have got 11 times of 10 to the power of minus 3 times the area of the loop will be, so let me just show you here area will be equal to pi r square, which is equal to pi times of 0.17 square. We can therefore multiply it here by 10 to the power of.17 square right b, where 1 is 0.
As a result, we can plug it in here by times 10 to the power of.17 square right b. 1 is 0. Thus, the other period is not taken into account, and the time is.24 seconds, correct voltages. So let me assess how much you're getting and see. It is 4.16 x 10 to the minus 3 volt power to the right. The induced m f is therefore this.
This will be squared right in meters, and this is where home is. In order to determine the electrical power dissipated, which is equal to v squared by r right, the resistance, and v, let me evaluate and see how much we're getting. This is 0.035 right now. We already have a resistance of 0.035 radius and 4.16 times 10 to the power of -3 entire squared, and this will be in what way. The amount you receive is approximately 4.9 times 10 to the power of negative 4.
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a 2,100-kg car moving east at 10.0 m/s collides with a 3,000-kg car moving north. the cars stick together and move as a unit after the collision, at an angle of 33.0° north of east and at a speed of 4.91 m/s. find the speed of the 3,000-kg car before the collision.
The initial velocity of the car with the mass of 3000kg before the inelastic collision is 1.347m/s.
What is Collision?For two objects, the relative speed between them equals the change in distance between them divided by the change in time.
In an inelastic collision, the momentum of the bodies remain constant even after collision. This works on the principle of conservation of momentum.
p = m.v
where, p = momentum of the body,
m = mass of the body,
v = velocity of the body
Here,
m₁. u₁ + m₂. u₂ = m₁. v₁ + m₂. v₂
Therefore, the velocity of 3000kg car (m₂) can be calculated by this formula:
m₁ = 2100 kg
u₁ = 10m/s
m₂ = 3000kg
u₂ = ?
v₁ = v₂ = 4.91 m/s
Therefore,
m₁. u₁ + m₂. u₂ = m₁. v₁ + m₂. v₂
(2100kg × 10) + (3000 × u₂) = (2100 × 4.91) + (3000 ×4.91)
21000 + 3000u₂ = 10,311 + 14730
3000u₂ = (10311+14730) - 21000
3000u₂ = 25041 - 21000
3000u₂ = 4041
u₂ = 4041/3000
u₂ = 1.347m/s
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