A 1400 kg car traveling at 17.0 m/s to the south collides with a 4700 kg truck that is at rest. The car and truck stick together and move together after collision. What is the final velocity of the two-vehicle mass? If Kinetic Energy = 0.5 * m * v^2, calculate the KE before the crash and the KE of the combined vehicles after the crash.

Answers

Answer 1

Answer:

Final velocity = 7.677 m/s

KE before crash = 202300 J

KE after crash = 182,702.62 J

Explanation:

We are given;

m1 = 1400 kg

m2 = 4700 kg

u1 = 17 m/s

u2 = 0 m/s

Using formula for inelastic collision, we have;

m1•u1 + m2•u2 = (m1 + m2)v

Where v is final velocity after collision.

Plugging in the relevant values;

(1400 × 17) + (4700 × 0) = (1400 + 1700)v

23800 = 3100v

v = 23800/3100

v = 7.677 m/s

Kinetic energy before crash = ½ × 1400 × 17² = 202300 J

Kinetic energy after crash = ½(1400 + 1700) × 7.677² = 182,702.62 J


Related Questions

A swimmer swims the 500 yd freestyle race in 13 minutes. What is his speed in yd/min? (Round to the nearest tenth). *​

Answers

Answer:

0.026 yards per minute because 13/500=0.26 which would find what fraction of a minute it would take to swim 1 yard

Describe the forces that are acting on a person who is standing still on a sidewalk, and identify whether the forces are balanced or unbalanced. Describe how the forces would change if the person started walking.

Answers

Answer:

a. i His weight and the normal force on him due to the ground

ii The weight and the normal force are balance

b. There are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.

Explanation:

a. i Describe the forces that are acting on a person who is standing still on a sidewalk

His weight and the normal force on him due to the ground act on him while the person is standing on the sidewalk

ii. identify whether the forces are balanced or unbalanced.

The weight and the normal force are balance because, the person does not move in the vertical or horizontal direction.

b. Describe how the forces would change if the person started walking.

When the person starts walking, the backward push due to his leg on the ground and the frictional force between his feet and the ground now acts on him in the horizontal direction. The frictional force acts in the forward direction and tends to move him forward. His weight and normal force on his feet still act vertically and are both balanced since he does not move in the vertical direction.

So, there are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.

You and your younger sister (who weighs half as much you do) are at a skating rink. You are both wearing roller skates and are facing each other. What will happen to your and your sister's motion if you push against each other?

Question 1 options:

You move forward and your sister moves backward at a faster rate.


You both move forward, but you accelerate at a greater rate.


You move backward and your sister moves forward at a faster rate.


You both move backward but your sister accelerates at a greater rate.

Question 2 (1 point)
You are standing, completely still, on a completely flat floor. Why do you stay as you are instead of flying into the air?

Question 2 options:

There are no forces acting on you or the floor.


Forces are only acting on the floor.


All of the forces acting on you are balanced.


You are exerting an unbalanced force on the floor.

Question 3 (1 point)
A baseball is thrown at 90 mph from east to west over a distance of 60 ft. What is true of the ball's motion?

Question 3 options:

Its speed is 90 mph to the west.


Its acceleration is 30 mph.


Its velocity is 90 mph to the west.


Its acceleration is 150 mph.

Question 4 (1 point)
A box is pushed 7 m to the left in 3 s. What is the block's average speed to the nearest tenth?

Question 4 options:

2.33 m/s


0.43 m/s


2.3 m/s


0.4 m/s

Question 5 (1 point)
graph

On a graph of distance vs. time, what is true of the motion of the object during its first 6 m of travel?



Question 5 options:

The object was moving at a constant speed.


The object was accelerating.


The object was not moving.


The object was northbound.

Answers

Answer:

It is D

Explanation: Use of these terms stretches back to World War I. One American field order from September 1918 noted, “The First Army will attack at H-Hour on D-Day with the object of forcing the evacuation of the St. Mihiel salient.” Other nations had their own shorthand. In World War I, the French used the code date “le Jour J,” while the British called their operation start days “Z-Day” and “Zero Hour.”

Hope this helps

You and your younger sister (who weighs half as much you do) are at a skating rink. You and your sister's both move backward but your sister accelerates at a greater rate.

What is acceleration?

The time rate of change of velocity with time.

As both are holding each other, they will be pushed backwards because the skating they wear makes them to move backwards. The equal and opposite force is applied on each other.

The force F =mass x acceleration.

The lesser mass greater will be the acceleration. Your sister with half weight of yours will accelerate more.

Thus, you and your sister's both move backward but your sister accelerates at a greater rate.

Learn more about acceleration.

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A - 28.4-μC charge is placed 16.4 cm from a charge q, the force between the two charges is 1240 N. What is the value of q?

Answers

Answer:

1.31×10⁻⁴ C or 131 μC

Explanation:

From the question,

Applying Coulomb's Law,

F = kqq'/r²..................... Equation 1

Where F = Force between the charges, q = first charge, q' = second charge, r = distance between the charges, k = coulomb's constant.

make q' the subject of the equation

q' = F×r²/(kq)

q' = Fr²/kq................ Equation 2

Given: F = 1240 N, r = 16.4 cm = 0.164 m, q = 28.4 μC = 2.84×10⁻⁵ C,

Constant: k = 8.98×10⁹ Nm/C²

Substitute these values into equation 2

q' = (1240×0.164²)/[(2.84×10⁻⁵)×(8.98×10⁹)

q' = (33.35104)/(25.5032×10⁴)

q' = 1.31×10⁻⁴ C

q' = 131 μC

Match the phrase with its explanation

Answers

Answer:

its very easy

Explanation:

All objects in our solar system orbit the Sun. How is the movement of planets like
Earth around the Sun different than that of comets traveling around the Sun?
PLEASE HELP I WILL GIVE BRAINLIEST JUST PLEASE PLEASE HELP

Answers

Answer:

planets move in elliptical orbit.

Explanation:

this is because planets are formed closer to the sun while the comets are formed further.

The Sun is home to 99.85% of all stuff in the Solar System.All objects in our solar system orbit the Sun.The movement of planets is elliptical in nature.

What is solar system?

Our solar system consists of the Sun, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, as well as the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

It consists of the planets' satellites, as well as numerous comets, asteroids, and meteoroids, as well as the interplanetary medium. The Sun is home to 99.85% of all stuff in the Solar System.

The movement of planets is elliptical due to the fact that planets are present closer to the sun while the comets are present farther away from the sun as compared to the planets.

Hence the movement of planets is elliptical in nature.

To learn more about the solar system refer to the link;

https://brainly.com/question/12075871

Which phrase best describes what the graph for
average low temperatures would look like?
rk
O It would run parallel to and below the high
temperature graph.
O It would be a flat line that crosses the high
temperature graph.
O It would be the opposite of the high temperature
graph.
It would be a flat line below the high temperature
graph.

Answers

Answer:

i dont know sir

Explanation:

What is the kinetic energy of a 78kg object moving at a velocity of 2.5m/s

Answers

Answer:

[tex]\boxed {\boxed {\sf 243.75 \ J }}[/tex]

Explanation:

Kinetic energy is energy an object has due to motion. The formula is:

[tex]KE=\frac {1}{2}mv^2[/tex]

The mass of the object is 78 kilograms and the velocity is 2.5 meters per second.

[tex]m= 78 \ kg \\v= 2.5 \ m/s[/tex]

Substitute the values into the formula.

[tex]KE= \frac {1}{2} (78 \ kg)*(2.5 \ m/s)^2[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Solve the exponent first.

(2.5 m/s)²= 2.5 m/s * 2.5 m/s = 6.25 m²/s²

[tex]KE= \frac {1}{2}(78 \ kg)*6.25 \ m^2/s^2[/tex]

Multiply all three numbers together.

[tex]KE=39 \ kg * 6.25 \ m^2/s^2\\[/tex]

[tex]KE=243.75 \ kg*m^2/s^2[/tex]

1 kilogram meter squared per second squared is equal to 1 Joule. So, our answer of 243.75 kg *m²/s² is equal to 243.75 Joules.

[tex]KE=243.75 \ J[/tex]

The object has 243.75 Joules of kinetic energy.

When reading a nutrition label, sodium is typically measured in what unit?
grams
illigrams
ounces
inches

Answers

Ounces that seems the most reasonable

Who was Nikola Tesla?​

Answers

Answer:

Nikola Tesla was a Serbian-American inventor, electrical engineer, mechanical engineer, and futurist best known for his contributions to the design of the modern alternating current electricity supply system.

1. Un móvil se desplaza 20m e invierte 8 segundos en hacerlo. ¿Cuál es su velocidad instantánea? 2. Un móvil parte a 3 metros después del origen y se detiene a 2 metros antes de este. Si demora 10 segundos en su desplazamiento. Calcular su rapidez.

Answers

Answer:

1)    v = 2.5 m / s, 2)  v = -0.5 m / s

Explanation:

For this exercise we will use the kinematics relations

1) velocity is defined by

         v = [tex]\frac{dx}{dt}[/tex]dx / dt

this definition serves for the instantaneous and the average velocity if the displacements are linear in time

         v = 20/8

         v = 2.5 m / s

b) for this part we use

          v = [tex]\frac{\Delta x}{\Delta t}[/tex]

         Δx = x_f -x₀

we must place a reference system, where the direction to the right is positive

         x_f = -2 m

         x₀ = +3 m

         

         Δx = -2 -3

         Δx = -5 m

we calculate

         v = -5 / 10

         v = -0.5 m / s

this value is a scalar

Flossie blew a tire 5 minutes into the second leg, up to that point she had traveled 10 km making her speed 2 km/m. It took 2 minutes to fix her tire. Flossie had to finish within 2 minutes in order to stay even with the evil Mabel. If Flossie had 8 km left what speed will she need to win?

Answers

Answer:

4km/m

Explanation:

She was going at 2km/m, so 2 kilometers per minute. She has 2 minutes therefore she needs to double her rate to 4 kilometers per minute.

How long will it take a sample of lead-212 (which has a half-life of 10.64 h) to decay to one-eighth its original strength?

Answers

Answer:

31.92 h

Explanation:

We'll begin by calculating the number of half-lives that has elapsed. This can be obtained as follow:

Original amount (N₀) = 1

Amount remaining (N) = ⅛

Number of half-lives (n) =?

N = 1/2ⁿ × N₀

⅛ = 1/2ⁿ × 1

Cross multiply

2ⁿ = 8

Express 8 in index form with 2 as the base.

2ⁿ = 2³

n = 3

Thus, 3 half-lives has elapsed.

Finally, we shall determine the time. This can be obtained as follow:

Half-life (t½) = 10.64 h

Number of half-lives (n) = 3

Time (t) =?

n = t / t½

3 = t / 10.64

Cross multiply

t = 3 × 10.64

t = 31.92 h

Therefore, it will take 31.92 h for lead-212 to decay to one-eighth its original strength.

Me file can walk a distance of 300 meters in 60 seconds. What is his speed

Answers

Answer:

5 m/s

Explanation:

use speed=distance/time

300/60=5

As the signal turns green, automobile A accelerates at a constant rate of 2 m/s2. Two seconds later, automobile B starts and accelerates at a constant rate of 3.6 m/s2. Determine (a) when B will overtake A, (b) the speed of each automobile at that time, and c) the location where B overtakes A relative to the traffic signal.

Answers

Answer:

a) 45 s , b)    vₐ = 90 m / s, v_b = 162 m / s, c)     x_b = 3.328 10⁴ m

Explanation:

We can solve this exercise using the kinematic relations

Vehicle A

              xₐ = v₀ₐ t + ½ aₐ t²

vehicle B

starts two seconds later

             x_b = v_{ob} (t-2) + ½  a_b (t-2) ²

as cars start from rest their initial velocities are zero

at the point where they meet, the position must be the same for both vehicles

             xa = 0 + ½ aₐ t²

             xb = 0 + ½ a_b (t-2) ²

             ½ aₐ t² = ½ a_b (t-2) ²

            [tex]\sqrt{ \frac{a_a}{a_b} }[/tex] t = (t-2)

              t (1 - \sqrt{  \frac{a_a}{a_b} }) = 2

             t (1 - ⅔, ) = 2

            t = 2 / 0.4444

             t = 45 s

b)

the speed of each car

                vₐ = voa + aa t

                vₐ = 0 + 2 45

                vₐ = 90 m / s

                v_b = 3.6 45

                v_b = 162 m / s

c) xb = 0 + ½ ab (t-2) ²

       x_b = ½ 3.6 (45-2) ²

       x_b = 3.328 10⁴ m

does motion of charge always lead to electric current ?

Answers

Answer:

The charges in motion constitute an electric current. However, not all moving charges constitute an electric current.

Help pls it’s time help

Answers

Answer:

Imma just add it since i got it right. Well its the first one.

Explanation:

Mine is A temporary magnet is only able to create its own magnetic field while in the presence of a stronger magnet. In other words, these types of magnets need assistance from a larger force in order to be able to attract other objects and magnets.

Answer:

Any time

Explanation:

What is the net force on the cart in the diagram?
--> 50N --> 75N

Answers

Answer:

15N

Explanation:

Look, this is easy maths all you have to do is subtract 75N from 50N.

Please give me brainliest.

Sincerely,

JA$ON

3. The coefficient of kinetic friction between an object and the surface upon which it is sliding is
0.40. The mass of the object is 3,2 kg. What is the force of friction?

Answers

Answer:

2

Explanation:

first person to answer correctly will get brainlist

Answers

5. All the resistors in this circuit, the 18 Ω resistor included, are in parallel. The voltage drop across each resistor is the same, which is the equivalent to the potential difference of the battery. That is, 36 V [choice K].

6. The ammeter is in series with the branch containing a 12 Ω resistor. Since the voltage drop across this resistor is 36 V, the current in this branch will be I = V/R = (36 V)/(12 Ω) = 3.0 A [choice D].

7. The equivalent resistance of the circuit can be calculated as follows:

1/R = 1/12 + 1/9 + 1/18 = 1/4; thus, R = 4.0 Ω [choice G].

8. Electrical power can be defined as electrical work/time, and electrical work can be given by W = qV. If P = qV/t and q/t = I (charge flowing per unit time is equal to current), then P = VI. From Ohm's law, V = IR, and I = V/R. Substituting V/R for I in the power equation, P = V²/R.

For this circuit, the V = 36 V and R (the equivalent resistance) = 4.0 Ω. So, the power loss in the circuit is P = (36 V)²/(4.0 Ω) = 324 W [choice J].

Based on Newton's law of motion, which combination of rocket bodies and engine will result in the acceleration of 40 m/s ^2 at the start of the launch?

Answers

The question is incomplete. The complete question is :

The Rocket Club is planning to launch a pair of model rockets. To build the rocket, the club needs a rocket body paired with an engine. The table lists the mass of three possible rocket bodies and the force generated by three possible engines.

A 4-column table with 3 rows. The first column labeled Body has entries 1, 2, 3. The second column labeled Mass (grams) has entries 500, 1500, 750. The third column labeled Engine has entries 1, 2, 3. The fourth column labeled Force (Newtons) has entries 25, 20, 30.

Based on Newton’s laws of motion, which combination of rocket bodies and engines will result in the acceleration of 40 m/s2 at the start of the launch?

Body 3 + Engine 1

Body 2 + Engine 2

Body 1 + Engine 2

Body 1 + Engine 1

Solution :

Given :

Body       Mass (gram)     Engine      Force (newtons)

1                   500                 1                     25

2                  1500                2                    20

3                  750                  3                    30

The body 1 has a mass of 500 gram which is equal to 0.5 kg

And engine 2 has a force of 20 newtons.

We know that according to Newton's laws of motion,

Force = mass x acceleration

 20    = 0.5 x acceleration

Acceleration [tex]$=\frac{20}{0.5}$[/tex]

                      [tex]$=\frac{200}{5}$[/tex]

                      [tex]$= 40 \ m/s^2$[/tex]

Therefore, based on laws of motion of Newton, the Body 1 + Engine 2 combination of the rocket bodies and engines will result in an acceleration of [tex]$ 40 \ m/s^2$[/tex] at the start of the launch.

When light hits a second transparent medium, light-

A. Reflects and Refracts
B. Refracts only
C. Reflects only

Answers

Answer:

C. Reflects only

The light is most intense where it strikes Earth _______ to its surface.

Answers

Answer: The sun's rays strike Earth's surface most directly at the equator. This focuses the rays on a small area. Because the rays hit more directly, the area is heated more.

The light is most intense where it strikes Earth's surface most directly at the equator

The sun's rays strike Earth's surface most directly at the equator. The rays are focused on a narrow area as a result of this. The area is heated more because the sunlight touch it more directly.The incoming solar radiation is more direct (almost perpendicular or closer to a [tex]90[/tex] degree angle) when the sun's rays contact the Earth's surface near the equator. As a result, solar energy is focused over a smaller surface area, causing temperatures to rise.

For more information:

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7. Your friend shows you a special kind of paper that can change color. He says that it will change
color if it is out in the sun. Can light from the sun cause the paper to change color?
a
Yes. Light from the sun can pull energy out of the paper, causing it to change color.
b
Yes. The paper can take in energy from the light, causing it to change color.
С
No. Light is not a physical thing, so it cannot change physical things like paper.
d
No. Light can only change things by warming them up, so it cannot cause the paper to
change color.

Answers

Answer:

d no light can only change things by warming them up , so it cannot cause the paper to change colur

Can some one help me ;-;

Answers

Answer: The first answer for the first problem, and the 2nd answer for the second problem

Explanation: For the first one, if it is absolute zero, the molecules would not move at all.

For the second one, the temperature of the sample will increase due to the movement.

How much force is needed to keep the bowling ball moving towards the pins once it has
left the man's hand?


PLEASE HELP!

Answers

Answer:

a lot of force is the answer

Explanation:

happy Ramadan kid

A mother applied 210 newtons to pull her
son on his snow sled a distance of 4
meters. How much work does the mother?

840
190
52.5
420

Answers

Answer: 420





Explanation: you have to do 210x2 to get your answer!




easy peasy what's next!!

The volume of a sphere is 33 n cubic centimeters. What is the radius?
32
34 1 = ģistorie
Sphere V =
32
1. Substitute
3
into the volume formula for V:
2. Multiply both sides of the equation by :
3. Divide both sides of the equation by A.
4. Take the cube root of both sides:
827 = 3
8 = p3
3.3 = r.
The radius of the sphere is
cm.

Answers

Answer:

Ingles porfavor

Explanation:

Answer:

j type the question into wolfram it gives you answer plus explanation

The bones of the middle ear cause which structure in the inner ear to vibrate and change the sound into signals?
a) eardrum
b) cochlea
c) hammer
d) auricle

Answers

Answer:

B

Explanation:

The cochlea is the part of the inner ear involved in hearing. It is a spiral-shaped cavity in the bony labyrinth, in humans making 2.75 turns around its axis, the modiolus.

Answer:

the answer is the cochlea

Explanation:

the eardrum receives the sounds and the cochlea "decifers them" so you know what words people are saying or what sound is playing.

If the mass of an object is 200kg and the applied force is 2600N, calculate the Acceleration.​

Answers

Answer:

13 m/s²

Explanation:

Mass of object = 200 Kg

Applied force = 2600 N

Acceleration  = ?

Solution:

Definition:

The acceleration is rate of change of velocity of an object with respect to time.

Formula:

a = Δv/Δt

a = acceleration

Δv = change in velocity

Δt = change in time

Units:

The unit of acceleration is m.s⁻².

Acceleration can also be determine through following formula,

F = m × a

a = F/m  (N = kgm/s²)

a = 2600 kgm/s² / 200 Kg

a = 13 m/s²

m=200kgF=2600Na=?

[tex]\\ \rm\longmapsto F=ma[/tex]

[tex]\\ \rm\longmapsto a=\dfrac{F}{m}[/tex]

[tex]\\ \rm\longmapsto a=\dfrac{2600}{200}[/tex]

[tex]\\ \rm\longmapsto a=13m/s^2[/tex]

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Bramble Corp. makes and sells umbrellas. The company is in the process of preparing its Selling and Administrative Expense Budget for the last half of the year. The following budget data are available: Variable Cost Per Unit Sold Monthly Fixed Cost Sales commissions $0.60 $ 6000 Shipping 1.20 Advertising 0.30 Executive salaries 39000 Depreciation on office equipment 7200 Other 0.35 24000 Expenses are paid in the month incurred. If the company has budgeted to sell 6000 umbrellas in October, how much is the total budgeted variable selling and administrative expenses for October Given that h varies inversely with respect to g, and that h= -24 when g= 3, write anequation that describes the relationship between h and g. Then find h when g=-1, The American Civil War (also known by other names) was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America. The principal cause of the war was the status of slavery in the United States, especially in the territories. After Abraham Lincoln won the November 1860 presidential election on an anti-slavery platform, an initial seven slave states declared their secession from the country to form the Confederacy. War broke out in April 1861 when secessionist forces attacked Fort Sumter in South Carolina, just over a month after Lincoln's inauguration. An additional four slave states joined the Confederacy in the following two months. The Confederacy grew to control at least a majority of territory in those eleven states (out of the 34 U.S. states in February 1861), and it claimed the additional states of Kentucky and Missouri by assertions from native secessionists fleeing Union authority. These states were given full representation in the Confederate Congress throughout the Civil War. The two remaining slave states, Delaware and Maryland, were invited to join the Confederacy, but Delaware declined and nothing substantial developed in Maryland due to intervention by federal troops. The Confederate states were never diplomatically recognized as a joint entity by the government of the United States, nor by that of any foreign country. The states that remained loyal to the U.S. were known as the Union. The Union and the Confederacy quickly raised volunteer and conscription armies that fought mostly in the South for four years. Intense combat left between 620,000 and 750,000 soldiers dead, along with an undetermined number of civilians. The Civil War remains the deadliest military conflict in American history, and accounted for more American military deaths than all other wars combined until the Vietnam War. The war effectively ended on April 9, 1865, when Confederate General Robert E. Lee surrendered to Union GeJk! drop a pic of doja cat here Choose the verb that agrees with the subject of the sentence._______ there pyramids in Mexico?A. Isn'tB. Aren't 10 = g - 19. Please help!!! 20) Although sounding contradictory, some firms see great benefit to orienting operations that simultaneously focus efforts on ensuring local responsiveness, aggressively reducing operational costs, and systematically transferring ideas and innovations among subsidiaries. Companies following this approach are considered to be following a(n) ________ strategy. multidomestic transnational international global Complete the sentence by writing the correct forms of the appropriate verb in parentheses using pass compos. avons perdu notre temps parce que ces personnes-l n----- notre histoire. (perdre/ne pas entendre) 21)Choose the statements that represent similarities between Peter the Great and Louis XIV.A)They were both absolutist rulers.B)They were both hereditary monarchs.They both lost power due to violent revolutionD)They both sought to modernize their nations by "westernization.E)They both led nations that had long dominated different parts of Europe, A circle has a radius of 5 centimeters. What is its area? Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner. How were issues driving party politics into the Jacksonian era? Must be 4-6 sentences!I give Brainliest!!PLEASE NO LINKS Which ratio is equivalent to 7:3? A. 21: 7B. 28 : 12C. 12 : 8D. 49:9 If sin = a, then csc =1/aa1 If the radius of a circle is 8 inches, what is the area. Use the formula shown below, and round the answer to the nearest hundredth, please. A = r 3.14 Find the product. Simplify.(x + 7)(x + 4) = What type of person is more likely to bully others? The Franks mostly lived in what modern day country? The point C(-2, -4) is rotated 270 clockwise around the origin. What are the coordinates of the resulting point, C? Why is representative government better than having a king? 1/6-9/8 as a fraction in simplest form