A cart with mass 2m has a velocity v before it strikes another cart of mass 3m at rest. The two carts couple and move off together with a velocity of?

Answers

Answer 1

Answer:

2/5 v

Explanation:

Use conservation of momentum

originally    mv = 2m v

  after the crash   mv is still the same (2mv)

        but the mass is now   5m x      where x is the new velocity

                   2mv = 5 mx

                  x = 2/5 v

                   

Answer 2

The momentum of two objects in a collision is conserved. Hence, the total initial momentum is equal to the final momentum of the coupled mass. Here the final velocity will then be 2/5 v.

What is momentum ?

Momentum of a moving object is the product of mass and velocity. It is a vector quantity with direction and magnitude. The total momentum of two colliding bodies is equal to the total final momentum after collision.

Let m1 and m2 be the masses and v1 and v2 be the final velocities. Vt be the velocity of the coupled mass.

Then, m1 v1 + m2 v2 = (m1 + m2) Vt

Given, mass of cart 1 = 2m

cart 2 = 3m

velocity of cart 1 = v

cart = 0 since it was at rest.

Then, 2m v + 0 = (2m + 3m) Vt

Vt = 2/5 v

Therefore, the final velocity of the couple of carts will be 2/5 v.

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Related Questions

An erect object is 50 cm from a concave mirror of radius 60 cm. In the situation above, the object is moved to a new position, such that the new lateral magnification is 2.5. The new object distance, in cm, is closest to:

Answers

For an erect object is 50 cm from a concave mirror of radius 60 cm. In the situation above, the object is moved to a new position, the new object distance is mathematically given as

u = -18cm

What is the new object distance?

Generally, the equation for magnification is mathematically given as

1/f = 1/v +1/u

therefore,

-1/30 = 1/v + 1/u

v = -2.5u

Hence,

-1/30 = -1/2.5u + 1/u

-1/30 = (3/5)u

u = -18

In conclusion, the new object distance is

u = -18cm

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A girl kicks a soccer ball into the air. Which of these best explains why the soccer ball falls back to Earth?

a.the motion of the ball is changed by extreme forces

b.the acceleration of the ball is unstable

c.the force exerted on the ball is greater than gravity

d.the pressure on the ball changes with altitude ​

Answers

Answer:

a

that extreme force is gravity changing the moshon

A force of 1 N is equal to which combination of SI units?
O A. 1J/m-s2
OB. 1 kg-m/s2
O C. 152-kg/m
D. 1 m/J's
SUBM

Answers

Answer:

F = M a = kg * m/s^2

1 N = 1 kg * m/s^2

(B) is correct

. Scientific question: Why does a dog circle its bed before lying down?
Write the steps you would take to explore this question using the scientific method.

Answers

Answer:

In the scientific method first of all is you need to identify the problem, the problem to your question is why does the dog circle its bed before lying down. Second is the observation to gather some data, you need to observe the dog if what could be the possibility the the dog may do that action. The third is the per hypothesis, you need to came up with an idea why does the dog do such and action for example the needs to find a correct spot to make itself comfortable and lastly the hypothesis, this should answer to your question or your problem. So my hypothesis is that dogs are one of the animals that are those difficult to find a place to sleep and some of that kind of animals are cat, before they lay on their bed, they have to circle to find a spot that could fit its body to be more comfortable when the dog sleep

Explanation:

Hope that helps you with your question.

Which of the following statements is true for both solar energy and wind energy? (1 point)
O Energy collection equipment can be installed in agricultural areas without affecting crop production
O Power from this energy source can easily be integrated into existing power grid systems.
O Energy is able to be collected both day and night.
O Power generation using this energy source does not contribute to water pollution

Answers

The statement that is true for both solar energy and wind energy is that power generation using this energy source does not contribute to water pollution.

What is solar and wind energy?

Solar energy is the energy in the form of electromagnetic radiation emitted from the Sun while wind energy is the energy generated from from moving currents of the wind using wind turbines.

Solar and wind energies are both renewable sources of energy i.e. they cannot be exhausted.

However, the generation of power from both solar and wind sources does not pollute water.

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HELP FAST!!!!!


I DONT UNDERSTAND ​

Answers

Answer:

A

Explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

This type of soil is found in warm, humid climates. question 5 options: pedocal laterite pedalfer humus

Answers

Answer:

Laterite would be your answer.

Explanation:

I hope this helps!

Laterite is the type of soil is found in warm, humid climates.

What is laterite soil?

Laterite is rich in iron and aluminum soil and rock type that is thought to have originated in hot, humid tropical climates. Nearly all laterites are of rusty-red hue, because of significant iron oxide concentration.

They form as a result of intense and extended erosion of the underneath rock material, which occurs most often when there are high temperatures and significant rainfall, with alternate wet and dry intervals.

Tropical weather is a long-term chemical weathering process that results in a wide range of soil thickness. Laterite is the type of soil is found in warm, humid climates.

Hence laterite is the correct option.

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.................................

Answers

Ah yes the answer to that is
……
Followed by
……………
Your welcome

A radioactive sample starts with 800,000 undecayed nuclei. After 12 hours, 700,000 of the nuclei have decayed. What is the half-life of the sample?

A. 3 hours

B. 12 hours

C. 6 hours

D. 4 hours

Answers

Answer:

100,000 / 800,000 = 1 / 8    amount of sample after 12 hours

(1/2)^n = 1 / 8      after n half-lives 1/8 of sample will be left

n = 3

(D) is the correct answer - 1/2 half-life = 4 hours

A resistor of 4 ohms is connected isn series to a box speaker of unknown resistance.If a current of 0.6A flows through the speaker when a voltage of 12V is applied across the combination, calculate: 1. the total resistance in the circuit. ii. the resistance of the speaker ili. the voltage applied across the speaker

Answers

Answer:

the total resistance: 20 ohms

the resistance of the speaker: 16 ohms

the voltage across the speaker: 9.6V

Can someone help me, I'll give you brainliest!!! (For Dark Paradox)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

What Daryl said is correct and the relationship among them is a causation than a correlation, because we know that high pitched sound wave has more frequency than that of low pitched sound wave. and we also know that if the medium is same then velocity of wave is same* so if there is high pitched sound wave, it has shorter wavelength and if there's low pitched sound wave it has longer wavelength. since there's an inverse relationship between wavelength and frequency.

I hope it was easy to understand, let me know if you have doubts ~

I REALLY NEED HELP!!!!
4. The pressure under the tyres of a tractor is 60 000 Pa. The pressed area is 0.5 m². How much
is the weight of the tractor?

Answers

Answer:

weight = 30000 Newton

Given:

pressure:  60,000 Paarea: 0.5 m²

========================

[tex]\sf pressure \ (Pa)=\dfrac{force \ (N)}{area \ (m^2)}[/tex]

[tex]\dashrightarrow \sf \ 60 000 = \dfrac{force}{0.5}[/tex]

[tex]\dashrightarrow \sf \ force =60 000 *0.5[/tex]

[tex]\dashrightarrow \sf \ force =30000 \ N[/tex]

========================

Weight is the force due to gravity.

Thus, force = gravity = 30000 N

When studying the photoelectric effect, which parameters did scientists think were relevant for electrons to be released or not in both the wave and particle models?


A. intensity only for both models

B. frequency and intensity for the particle model; frequency only for the wave model

C. frequency only for both models

D. frequency and intensity for the wave model; frequency only for the particle model

I marked it as B, but I am not certain.

Answers

Answer:

D.

Explanation:

The answer should be D. frequency and intensity for the wave model; frequency only for the particle model.


I hope it helps! Have a great day!

Anygays-

The parameter will be frequency and intensity for the wave model and the frequency only for the particle model.

What is the photoelectric effect?

When a medium receives electromagnetic radiation, electrostatically charged particles are emitted from or inside it.

The emission of ions from a steel plate when light falls on it is a common definition of the effect. The substance could be a solid, liquid, or gas; and the released particles could be protons or electrons.

The above effect is the photoelectric effect. Frequency and intensity for the wave model; frequency only for the particle model.

Hence option D is correct.

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How much work is done by a constant horizontal 20-N force pushing a 50-kg block a distance of 10 m on a horizontal surface

Answers

Answer:

200 Nm

Explanation:

Work Done by Particular Force = Particular Force × Distance

When an object is lifted 12 meters off the ground, it gains a certain amount of potential energy. If the same object is lifted 24 meters off the ground, its potential energy is
A.
the same.
B.
three times as much.
C.
twice as much.
D.
four times as much.

Answers

I think the answer is twice as much

If we want to get an estimate for the average distance from the sun to a planet, how might we go about doing this? (Choose one answer):

1. By measuring the eccentricity of the orbit, which is directly
related to the size of the orbit's ellipse and hence the distance
from the sun.

2. Measure its orbital period (the time it takes to complete a
single orbit) because Kepler's third law allows us to calculate
the orbit's semi-major axis from this.

3. This cannot be done without sending a probe to the planet.
We have done this for some planets already, but not others.

Answers

The distance between the sun and a planet can be gotten by measuring its orbital period and applying the Kepler's law.

Kepler's laws

According to Keplers third law; the cube of the distance between a planet and the sun is directly proportional to the square of the period of the same planet.

Having said that, we know that we can best measure the distance between the sun and a planet by measuring its orbital period and applying the Kepler's law.

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Practice Problems
31. Follow-up Suppose the coefficient of kinetic friction is equal to
0.120. What is the acceleration of the salt shaker in this case?
32. A baseball player slides into third base with an initial speed of
40 m/s. If the coefficient of kinetic friction between the player and the

Answers

(a) The acceleration of the salt shaker is 1.18 m/s².

(b) The distance traveled by the baseball player before coming to rest is 204.1 m.

Acceleration of the salt shaker

The acceleration of the salt shaker at the given coefficient of kinetic friction is determined as follows;

a = μg

a = 0.12 x 9.8

a = 1.18 m/s²

Acceleration of the baseball player is calculated as follows;

a = μg

a = 0.4 x 9.8

a = 3.92 m/s²

Distance traveled by the baseball player

The distance traveled by the baseball player before coming to rest is calculated as follows;

v² = u² - 2as

0 = 40² - 2(3.92)s

0 = 1600 - 7.84s

7.84s = 1600

s = 204.1 m

The complete question is below:

A baseball player slides into third base with an initial speed of 40 m/s. If the coefficient of kinetic friction between the player and the ground is 0.40, how far does the player slide before coming to rest?

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The blood travels through the body in tubes called

Answers

Blood travels through the body in tubes called arteries and veins.

What are blood vessels?

Blood vessels are tubes through which the blood circulates in the body. Blood vessels include the following;

network of arteries, arterioles, capillaries, venules and veins

Thus, we can conclude that blood travels through the body in tubes called arteries and veins.

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can someone please tell me how to calculate the initial kinetic energy​

Answers

In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2

Proper use of the friction zone makes it easier to:.

Answers

Friction is the opposition offered to the movement of a surface on another and depends on the nature of the surfaces in contact.

What is friction?

The term friction refers to the opposition that is offered by surfaces in contact when they move over each other. The question is incomplete but I will try to help you the much I can.

Now recall that fricton only depends on the nature of the surfaces in contact. The friction is te reason when heat is provides in the moving parts of machines.

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acceleration can occur when a car is moving at a constant speed. what must cause this acceleration?​

Answers

The gasoline is charging the the car to move faster

initial velocity 0 km/hr, final velocity 24km/hr, time 3s, what is acceleration

Answers

Answer:

8 km/hr

Explanation:

Acceleration

=Change in Velocity/ Time

=(24-0)/3

=8

The acceleration of the body is {a} = 8 km/hr².

What is acceleration?

Acceleration is defined as the rate of change of velocity per unit time.

Given is -

Initial velocity : 0 km/hr

Final velocity : 24km/hr

Time : 3s

We can write the acceleration as -

a = Δv/Δt

a = (24 - 0)/(3 - 0)

a = 24/3

a = 8 km/hr²

Therefore, the acceleration of the body is {a} = 8 km/hr².

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Why is the speed of different sounds in a single medium remain the same though wavelength is different?

Answers

Answer:

I think it's because the refractive index of that medium is constant

which statment about scientific knoledge is false

Answers

The phrase "scientific knoledge" in the question is spelled correctly.

there are no statements or a picture of statements to look at


If a 2 meter diameter ball representing the Sun were placed in Center Circle in Indianapolis, how far away should the Earth be placed?

Answers

By applying the correspondent change of scale, we will see that Earth should be placed 214.8m away from the scale sun.

How far the Earth should be placed?

The real radius of the Sun is:

R = 696,340 km

And the radius of the scale Sun is 1m, then we have the relation:

1m = 696,340 km

1 = (1m/696,340 km)

Now, the real distance between the Sun and Earth is:

d = 149,600,000 km

If we apply the change of scale we have above, we will get:

d =  149,600,000 km*(1m/696,340 km) = 214.8m

So the Earth should be placed at 214.8m of the ball that represents the sun.

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Look at the diagram. Both cars start from the same point. Which describes the motion shown?
A:One car travels south at 4 m/s. The other car travels east at 2 m/s.
B:One car travels north at 4 m/s. The other car travels west at 2 m/s.
C;One car travels north at 2 m/s. The other car travels east at 4 m/s.
D: One car travels south at 4 m/s. The other car travels west at 2 m/s. 7 of 10

The original photo wouldn't load...

Answers

Answer: The answer is C.

Explanation: C is the correct answer. The magnitude of the vector increases with the length of the line. Consider a compass when it comes to direction.

The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given time is 96.875%. How many half-lives has the sample experienced?

A. 5

B. 4

C. 6

D. 3

I believe it's 4, but I'm not entirely sure.

Answers

The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given time is  96.875%. The sample has experienced 5 half lives. The correct option is A.

What is half life?

Half life is the time required for the heavy nucleus or any radioactive material to disintegrate by half its quantity.

After one half life, the probability of decay of any nucleus is given by 50%. = 0.5

After two half lives gone,  probability of decay is 0.5 + 1/2(0.5) = 0.75

After, three half lives gone,  probability of decay is 0.5 + 1/2(0.5) + (1/2)²(0.5) = 0.875

After, four half lives gone,  probability of decay is 0.5 + 1/2(0.5) = 0.875 + (1/2)³(0.5) = 0.9375.

After, five half lives gone,  probability of decay is 0.9375 + (1/2)⁴(0.5) = 0.96875.

Thus, the sample has experienced 5 half lives. The correct option is A.\

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Seat belt laws are a good idea because of which of the following law of motion?
A. Newton’s second law of motion
B. Newton’s first law of motion
C. Newton’s third law of motion
D. Murphy’s law of motion
E. None of the above
Please help

Answers

Answer:

B. Newton's first law of motion.

Explanation:

The law of inertia or the first law of motion.

Answer:

Newton's first law

Explanation:

This law states that

Every object remains in at rest or its motion unless any external force is applied

When car breaks sudden then we get pulled forwards so seat belt is for safety

Most meteors burn up in the

Answers

Answer:

the Mesosphere

Most meteors burn up in the mesosphere. Unlike the stratosphere, temperatures once again grow colder as you rise up through the mesosphere.

Explanation:

Have a nice day

Answer:

The Mesosphere

Explanation:

It is the coldest layer.

3. How long (means time) must a 400 W electrical engine work in order to produce 300 kJ of work? (p = W/t. T = w/p)

Answers

Answer:

7.5 sec

Explanation:

400 • t = 3000

(the 300 kJ was turned into 3000 J)


divide both sides by 400


400t/400 = 3000/400 ——-> 7.5

The answer becomes 7.5 sec


I hope it helps! Have a great day!

Anygays-

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