A car and a lorry are about to collide. When they collide the two vehicles become tightly locked together. The lorry is going at a speed of 20km/h and weighs 9.5 tonnes. The car is going at a speed of 40km/h and is 0.5 tonnes. Calculate the speed of the vehicles immediately after the collision. (6 marks)

Answers

Answer 1

Answer:

The speed of the vehicles immediately after the collision is 5.84 m/s.

Explanation:

The speed of the vehicles after the collision can be found by conservation of linear momentum:

[tex] p_{i} = p_{f} [/tex]

[tex] m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}} [/tex]

Where:

m₁: is the mass of the car = 0.5 ton = 500 kg

m₂: is the mass of the lorry = 9.5 ton = 9500 kg

[tex]v_{1_{i}}[/tex]: is the initial speed of the car = 40 km/h = 11.11 m/s

[tex]v_{2_{i}}[/tex]: is the initial speed of the lorry = 20 km/h = 5.56 m/s

[tex]v_{1_{f}}[/tex]: is the final speed of the car =?

[tex]v_{2_{f}}[/tex]: is the final speed of the lorry =?    

Since the two vehicles become tightly locked together after the collision [tex]v_{1_{f}}[/tex] = [tex]v_{2_{f}}[/tex]:

[tex] m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = v(m_{1} + m_{2}) [/tex]

[tex] v = \frac{m_{1}v_{1_{i}} + m_{2}v_{2_{i}}}{m_{1} + m_{2}} = \frac{500 kg*11.11 m/s + 9500 kg*5.56 m/s}{500 kg + 9500 kg} = 5.84 m/s [/tex]

Therefore, the speed of the vehicles immediately after the collision is 5.84 m/s.

I hope it helps you!  


Related Questions

17. A ball falling from a building has a kinetic energy of 2000 J and potential
energy of 2376 J. What is the mechanical energy of the ball?
Imc

Answers

Answer:

C. 4736J

Explanation:

The mechanical energy of ball is the sum of its kinetic energy and potential energy at any point;

 Mechanical energy  = kinetic energy + potential energy

Given:

kinetic energy  = 2000J

potential energy  = 2376J

So;

 Mechanical energy  = 2000J + 2376J  = 4736J

How many half lives will it take for 300 grams of Carbon-14 to decay to 18.75 grams?​

Answers

Answer:

16

Explanation:

300/18.75

Which are characteristics of electromagnetic waves? Check all that apply.
They travel only through matter.
Waves with a higher frequency have a shorter wavelength.
Waves with a higher frequency have a longer wavelength.
They all move at the same speed.
They can travel through space.

Answers

Answer:

2,4,5

Explanation:

Answer:

2,4,5

Explanation:

I got it right on edge 2021

ok these people know science thank you so much ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ !!!!

Answers

nice, hey could u look at my recent question

the total linear momentum of a truck of mass 6000 kg that is moving at a speed of 40 m/s and a car of mass 1000 kg that is moving at a speed of 10 m/s is __ kg • m/s

Answers

Answer:250,000

Explanation:

How does energy move in relation to the medium in a longitudinal wave?

Answers

Answer:

In a transverse wave.ok now u know

If you cut a apple and leave it in the open air and it turns brown what kind of chemical change is that

Answers

Answer:

Oxidation

Explanation:

The browning of the apple after you cut it undergoes a natural chemical change called oxidation, wherein the apple's enzymes react with the oxygen in the environment.

What is the Density of a 150g irregularly shaped rock that displaces 25 ml of water, when it is dropped into a
graduated cylinder?

Answers

Answer:

6 g/mL

Explanation:

given:

mass = 150g

volume = displaced volume of water = 25 mL

recall that density = mass / volume

density = 150g / 25 mL = 6 g/mL

The speed of light is 3 x 10^8 m/s. If its frequency is 4.11 x 10^4 Hz, what is its wavelength?

Answers

Answer:

21'8

Explanation:

What would happen to the tides of the moon was twice as massive it is currently?

Answers

Answer:

the tides would be twice as big as they are now and the world would flood

Explanation:

The tides would be twice as massive as currently if moon was twice as massive  it is currently.

What is tidal force?

The tidal force is a gravitational effect that stretches a body along a line towards the center of mass of another body due to a gradient in the gravitational field from the other body.

A body stretches as a result of this disparity. As a result, in addition to being a byproduct of the gravitational field, the tidal force is also referred to as the differential force.

The nearest side is pulled more strongly than the farthest side because the gravitational field imposed on one body by another is not consistent across its portions.

As tidal force is a kind of gravitational force, it linearly depends on the mass of the moon. So, the tides would be twice as massive as currently if moon was twice as massive  it is currently.

Learn more about tidal force here:

https://brainly.com/question/6762160

#SPJ5

Look at the graph. How many minutes is the sample COMPLETELY a liquid?

Answers

Answer:

2 minutes

Explanation:

From the graph, it takes 2 minutes for the piece of ice to go to the completely liquid phase.

a boy runs a distance of 10m in 2secound and walks further a distance of 8m in 3secound,what is his overage speed?​

Answers

Answer:

3.6m/s

Explanation:

To solve this problem, we must find the total distance and the total time taken. We then plug it into the equation defined below:

Average speed  = [tex]\frac{total distance}{total time taken}[/tex]  

 Total distance  = 10m + 8m  = 18m

  Total time taken  = 2s + 3s  = 5s

So;

 Average speed  = [tex]\frac{18}{5}[/tex]    = 3.6m/s

A student carries a backpack for one mile , another student carries the same back pack for two miles . Compared to the first student , how much work did the second student do ?

Answers

Answer:

he did twice as much since the first student carried the backpack for 1 mile whilst the second one carried it for 2 miles

Explanation:

Answer:

2miles-1mile

the second person carried the for one mile longer.

So as your sentence you would sat

Compared to the first person the second person carried the backpack one mile longer.

What is the density of an object with volume 10.0 mL and mass 4.2 g?

Answers

Answer: 26.22

Explanation:

The phrase 10 m per second squared describes the what

Answers

Answer:

acceleration that is caused by gravity

Explanation:

if the mass of the object is tripled and the speed is doubled then the kinetic energy will change by a factor of

Answers

Answer:

New kinetic energy = 12 times of the initial kinetic energy.

Explanation:

The kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Where

m is mass of the object

v is speed of the object

ATQ,

If the mass of the object is tripled, m' = 3m

Speed is doubled, v' = 2v

New kinetic energy will be:

[tex]K'=\dfrac{1}{2}m'v'^2\\\\K'=\dfrac{1}{2}\times 3m\times (2v)^2\\\\=\dfrac{1}{2}\times 3m\times 4v^2\\\\=12\times \dfrac{1}{2}mv^2\\\\K'=12\times K[/tex]

So, the new kinetic energy will become 12 times of the initial kinetic energy.

Which of the following is an example of potential energy?
o The energy a baseball has because of its motion,
The energy a spring has by being compressed
The energy an object gains by increasing its temperature,
The energy of an electromagnetic.

Answers

Answer:

The energy a spring has by being compressed.

Explanation:

Potential energy is stored energy, whereas kinetic energy is the energy of moving things.

Conservation of energy says the kinetic energy and the potential energy for each trial should be equal. true or false answer fast

Answers

Answer:

true

Explanation:

this is because potienal energy is energy that is stored, and kinetic is energy being used, as kinetic is used, potential is also being used.

PLEASE HELP 100 POINTS
If the simple machine reduces the amount of force, what must be increased? (Think of using an inclined plane)


the size of the simple machine


the speed of the input force


the work the simple machine performs


the distance over which the force is applied

Answers

Answer;
A. the distance that the force move
Explanation;
Simple machines function to make work easier by reducing human effort. These machines may increase the strength of the force, or increase the distance over which the force applied or even change the direction in which the force is applied.
Therefore, when these simple machine reduce strength of a force then the distance over which the force is applied or moves should be increased. Examples of machines that makes work easier by increasing the distance over which the force is applied include, hammers and leaf rakes.

If the simple machine reduces the amount of force, what must be increased the size of the simple machine.

What is force?

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

An object that transfers and alters force is a machine. Machines come in a variety of forms, such as incline planes, levers, wheel and axles, pulleys, and gears. • The mechanical advantage provided by a machine is the same as the output force. divided by the input force (load)

If the simple machine reduces the amount of force, what must be increased the size of the simple machine.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

What does psychophysics study?
unusual discoveries in laboratory experimentations
the laws of physics and how believable they are
people's reactions and perceptions to stimuli

Answers

Answer:

people's reactions and perceptions to stimuli.

Explanation:

Psychophysics can be defined as the scientific study of people's reactions and perceptions to stimuli.

Stimulus can be defined as an obvious change in either the chemical or physical structure of an organism' environment (either external or internal). Thus, all living organisms (humans) respond to changes in their environment and consequently, an appropriate response or reaction is made. Also, stimulus arising from within the organism is known as internal stimulus while those from its environment are known as the external stimulus.

In organisms, the specialized cells that detect stimulus are generally known as sensory receptors while a group of these receptors is referred to as sense organ.

Hence, psychophysics is a branch of psychology and it is typically focused on determining the effects of stimuli on the mental health or processes of humans.

Answer:

study of people's reactions and perceptions to a stimulus.

Explanation:

Before the emergence of psychology, psychophysics was the more common practice. Psychophysics is the study of people's reactions and perceptions to a stimulus. For example, when you hear a bell ring, do you act startled, blink your eyes, turn your head, or do nothing? Psychophysicists were interested in people's five senses and how those senses responded to stimulation from elsewhere. Tests were administered to people to try to understand mental phenomena.Psychophysicists wanted to know what people's reactions would be. For example, if a bell rang twenty times, how well did a person hear that sound and did the person find that sound pleasant?

What are some ways to deal with stress? HELP

Answers

Answer:

dear the other side is the hardich the value that indicates that the other hand if one of triangle ABC news and information or have any further information on the value of x the ki friend my dear the ki aadami you are girl or by phone

Answer:

play games

do meditation

take a long breath

be calm and relax

share your stress

get help from elders

The equation most often associated with Newton's Second Law of Motion is
Answer here

Answers

Answer: F=ma

Explanation:

I belive F=ma or something like that

what consist of a body wave​

Answers

A body wave is a seismic wave that moves through the interior of the earth, as opposed to surface waves that travel near the earth's surface.

3. Canopus is 313 light years from Earth. How old is the light that we are currently seeing?

Answers

Answer:

lícita; de navegar y comerciar; de peticionar a las autoridades; de entrar, permanecer, transitar y salir del territorio argentino; de publicar sus ideas por la prensa sin censura

Write the percent as a fraction or a mixed number in simplest form.


7%

Answers

The actual answer is 7/100

What is the speed of a baseball that travels 49 meters in 2.8 seconds?
(I will mark first answer Brainliest!)

Answers

Answer:

49 meter per second is the speed of the baseball

Explanation:

thank me later

2) A bully is pushing a boy against a locker as shown with a force of
500N. The angle between his arms and the ground is 40°. Draw a free-body diagram of
the boy and then find the normal force between the boy and the wall.
HELP

Answers

Answer:

pull out the 9

Explanation:

A 50.0 kg driver is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid
hitting a deer crossing the road. She strikes the air bag, which brings her body to a stop in 0.500 s.
What average force does the seat belt exert on her?

Answers

Answer:

3500N

Explanation:

Given parameters:

Mass of driver  = 50kg

Speed  = 35m/s

Time  = 0.5s

Unknown:

Average force the seat belt exerts on her = ?

Solution:

The average force the seat belt exerts on her can be deduced from Newton's second law of motion.

   F = mass x acceleration

So;

     F  = mass x  [tex]\frac{change in velocity }{time}[/tex]

  F  = 50 x [tex]\frac{35}{0.5}[/tex]    = 3500N

In modified PE football, the quarterback can only run with the ball if
A The quarterback has no open receivers
B Time runs out
C Another player on the offense touches the ball before the play starts
D it is 4th down

Answers

Answer:

its c i just did the test

Explanation:

At time t = 0 s, a puck is sliding on a horizontal table with a velocity 3.60 m/s, 35.0° above the +x axis. As the puck slides, a constant acceleration acts on it that has the following components: a = - 2 0.360 m/s and da, = -0.980 m/s. What is the velocity of the puck at time t = 1.50 s? 2 0​

Answers

The velocity of the punk at time t = 1.5 s is equal to 2.47 m/s.

What are the components of velocity?

The object will have two velocities during the projectile motion, one is horizontal velocity and the other is vertical velocity. The horizontal velocity of the object is constant throughout the projectile motion but the vertical velocity is changed in the projectile motion.

Given that the velocity vector is making an angle θ with a horizontal table, θ = 35°

The vertical component of the velocity of the puck can be determined as:[tex]u_x = u Sin 35^o = 3.60 \times 0.573 =2.06 m/s[/tex]

The horizontal component of the velocity of the puck can be determined as:

[tex]u_y = u cos 35^o = 3.60 \times 0.82=2.95 m/s[/tex]

Given the acceleration aₓ = -0.360 m/s² and a y = -0.980 m/s²

The final vertical components of the velocity of the punk are:

[tex]v_x = u_x + a_xt[/tex]

[tex]v_x = 2.95 - (0.360) (1.5)\\v_x = 2.41 m/s[/tex]

and, the horizontal velocity of the punk is:

[tex]v_y = u_y +a_yt\\v_y = 2.06 - (0.980) (1.5)\\v_y = 0.59 m/s[/tex]

The velocity of the punk can be determined as:

[tex]v = \sqrt{v_x^2 + v_y ^2}\\ v =\sqrt{(5.80)^2 + (0.35)^2}\\ v = 2.47 m/s[/tex]

Learn more about components of the velocity, here:

https://brainly.com/question/12498991

#SPJ1

Other Questions
One result of the War of 1812 was that the United States A) defeated SpainB) took control of CubaC) gained land from CanadaD) maintained its independence from Great Britain A typical airplane flies at an altitude of 38,000 feet. Part A: Write an integer to represent an airplane's altitude. The fact that women often feel pressured to conform to societys expectations is a common feminist theme found within literature. As this theme appears within part two of Trifles, which pair of symbols most strengthens this theme?A.towel, tableB.bottle of fruit, birdcageC.breadbox, catsD.quilt, birdEDG 2021 a truck starts from rest and accelerates for 25 seconds to reach a velocity of 60m/s . calculate the rate of acceleration for the truck Find the missing length AYO who good at math. so an average man can walk 3,000 to 4,000 steps a day, or roughly 1.5 to 2 miles. from my house to the store it's 1.5 miles. why does it take my dad 22 years to come back with the milk like I'm tired of eating cereal without milk? PLS HELPPPP I WILL BE GIVING BRAINLESS THE PIC IS RIGHT BELOW PLS IF U DONT KNOW THE ANSWER DONT ANSWER PLSSS PLEASE GIVE ME THE ANSWER AND EXPLAIN HOW YOU WORKED IT OUT AND GOT THE ANSWER PLEASEEEEE ILL MARK YOU BRAINLIEST Surrender Speech Read the passage. Surrender Speech by Black Hawk 1832 Black Hawk was a chief of the Sauk Indians. Though the Sauk had forfeited their lands east of the Mississippi in an 1804 treaty, Black Hawk believed the treaty to be invalid. Angered by the loss of their lands and by incoming white settlers, Black Hawk led a brief war against U.S. forces. While Black Hawk won an initial victory, his warriors were defeated. Black Hawk surrendered fifteen weeks after the conflict began. You have taken me prisoner with all my warriors. I am much grieved, for I expected, if I did not defeat you, to hold out much longer, and give you more trouble before I surrendered. I tried hard to bring you into ambush, but your last general understands Indian fighting. The first one was not so wise. When I saw that I could not beat you by Indian fighting, I determined to rush on you, and fight you face to face. I fought hard. But your guns were well aimed. The bullets flew like birds in the air, and whizzed by our ears like the wind through the trees in the winter. My warriors fell around me; it began to look dismal. I saw my evil day at hand. The sun rose dim on us in the morning, and at night it sunk in a dark cloud, and looked like a ball of fire. That was the last sun that shone on Black Hawk. His heart is dead, and no longer beats quick in his bosom. He is now a prisoner to the white men; they will do with him as they wish. But he can stand torture, and is not afraid of death. He is no coward. Black Hawk is an Indian. He has done nothing for which an Indian ought to be ashamed. He has fought for his countrymen, the squaws and papooses, against white men, who came, year after year, to cheat them and take away their lands. You know the cause of our making war. It is known to all white men. They ought to be ashamed of it. The white men despise the Indians, and drive them from their homes. But the Indians are not deceitful. The white men speak bad of the Indian, and look at him spitefully. But the Indian does not tell lies; Indians do not steal.An Indian who is as bad as the white men, could not live in our nation; he would be put to death, and eat [sic] up by the wolves. The white men are bad school-masters; they carry false looks, and deal in false actions; they smile in the face of the poor Indian to cheat him; they shake them by the hand to gain their confidence, to make them drunk, to deceive them, and ruin our wives. We told them to let us alone; but they followed on and beset our paths, and they coiled themselves among us like the snake. They poisoned us by their touch. We were not safe. We lived in danger. We were becoming like them, hypocrites and liars, adulterers, lazy drones, all talkers, and no workers.We looked up to the Great Spirit. We went to our great father. We were encouraged. His great council gave us fair words and big promises, but we got no satisfaction. Things were growing worse. There were no deer in the forest. The opossum and beaver were fled; the springs were drying up, and our squaws and papooses without victuals to keep them from starving; we called a great council and built a large fire. The spirit of our fathers arose and spoke to us to avenge our wrongs or die . . . . We set up the war-whoop, and dug up the tomahawk; our knives were ready, and the heart of Black Hawk swelled high in his bosom when he led his warriors to battle. He is satisfied. He will go to the world of spirits contented. He has done his duty. His father will meet him there, and commend him.Black Hawk is a true Indian, and disdains to cry like a woman. He feels for his wife, his children and friends. But he does not care for himself. He cares for his nation and the Indians. They will suffer. He laments their fate. The white men do not scalp the head; but they do worsethey poison the heart, it is not pure with them. His countrymen will not be scalped, but they will, in a few years, become like the white men, so that you cant trust them, and there must be, as in the white settlements, nearly as many officers as men, to take care of them and keep them in order.Farewell, my nation. Black Hawk tried to save you, and avenge your wrongs. He drank the blood of some of the whites. He has been taken prisoner, and his plans are stopped. He can do no more. He is near his end. His sun is setting, and he will rise no more. Farewell to Black Hawk.Question 1 (3.75 points) How have Black Hawks cultural experiences shaped his view of white people?Question 1 options:They have fueled in him great animosity toward white people.They have made him uncertain about how to feel about white people.They have allowed him to fully understand white people.They have taught him to sympathize with the plight of white people. which binomial is a factor of 8x^2y^3-18y In what ways wasWilliam Howard Taft a Progressive? Is -7/3 equivalent to -7/-3? Katrina drove 250 miles in 4 hours. How many miles did she drive in 1 hour? HELP ME FAST PLS ILL LOVE U FOREVER Pls explain your answer. Thanks in advance. I will mark brainliest if u explain Find a quadratic function f(x) = ax^2 + bx + C whosegraph passes through the points (-1,3), (1,1) and (2,6). Write an expression describing her earnings for working hours Recessive traits appear only when an organism is? Which sentence best describes how electrically charged objects interact? An object with a negative charge will repel objects with a positive charge.An object with a positive charge will be attracted to objects with a positive charge.An object with a negative charge will be attracted to objects with a positive charge.An object with a positive charge will repel objects with a negative charge. Solve the system of equations using the method of your choice. y = 3x + 5 and y = -2x + 20 ***Write your answer as an ordered pair (x,y) How would you do this help