An air track car with a mass of 6 kg and velocity of 4 m/s to the right collides with a 3 kg car moving to the left with a velocity of 2 m/s. After the collision, the 6kg car continues forward with a velocity of 1 m/s. What is the new velocity of the 3 kg car after the collision?

Answers

Answer 1

Remember that moment before collision is equal to the moment after collision.

[tex](m1 \times u1) + (m2 \times u2) = (m1 \times v1) + (m2 \times u2)[/tex]

Plugging in our values,

[tex](6 \times 4) - (3 \times 2) = (6 \times 1) + (3 \times v2) \\ 24 - 6 = 6 \times 3v2 \\ 18 = 18v2 \\ v2 = 1 {ms}^{ - 1} [/tex]

Answer 2

The velocity of the second car after the collision is 8 m/s.

What is law of conservation of momentum ?

The law of conservation of momentum states that, within the domain, the total momentum before collision is equal to the momentum after collision.

Here,

Mass of the car to the right, m₁ = 6 kg

Mass of the car to the left, m₂ = 3 kg

Velocity of the first car before collision, u₁ = 4 m/s

Velocity of the second car before collision, u₂ = 2 m/s

Velocity of the first car after collision, v₁ = 1 m/s

According to the conservation of momentum,

(m₁u₁) + (m₂u₂) = (m₁v₁) + (m₂v₂)

(6x4) + (3x2) = (6x1) + (3v₂)

3v₂ = 24

Therefore, v₂ = 24/3

v₂ = 8 m/s

Hence,

The velocity of the second car after the collision is 8 m/s.

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Related Questions

What is a disadvantage of using nuclear power to produce electricity?

Answers

Answer:

The further implementations of nuclear power are limited because although nuclear energy does not produce CO2 the way fossil fuels do, there is still a toxic byproduct produced from uranium-fueled nuclear cycles: radioactive fission waste.

Explanation:

Answer:

Disadvantages of Nuclear Power

The further implementations of nuclear power are limited because although nuclear energy does not produce CO2 the way fossil fuels do, there is still a toxic byproduct produced from uranium-fueled nuclear cycles: radioactive fission waste.

Explanation:

Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years:

Provide the energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.

Answers

Answer:

(This will depend on the type of fuel, I will assume that the fuel is petrol)

First, let's find the expected energy consumption in the US for the next 10 years.

We know that in one year, a person consumes 3.5*10^11 joules.

There are 310,000,00 people on the US

Then the total consumption in one year is:

310,000,000*3.5*10^11 joules = 1.085*10^20 J

In 10 years the consumption is 10 times the consumption of a single year, then the expected energy consumption in the US for the next 10 years is:

10*1.085*10^20 J = 1.085*10^21 J

Now let's find the mass of fuel required.

We know that a liter of petrol has 31,536,000 joules of energy,

And a liter of petrol weights 0.75 kg

To find the number of liters of petrol that we need, we need to find the quotient between the expected energy consumption in the next 10 years and the energy of a single liter of petrol, this is:

N = (1.085*10^20 J)/(31,536,000 j) = 3.44*10^13

We will need  3.44*10^13 liters of petrol.

And the total mass of petrol will be:

M = 3.44*10^13*0.75 kg = 2.58*10^13 kg of fuel.

Use the image above to answer the following for 2 points each:

1. Identify a point in the diagram where a divergent boundary is occurring and explain how it is interacting with the rock cycle.

2. Identify a point in the diagram where a divergent boundary is occurring and explain how it is interacting with the rock cycle.

3. Identify a point in the diagram where the rock cycle is occurring without a plate boundary and how it is interacting with the rock cycle.

Answers

Answer: the divergent one goes where it looks like there a crack because when you think about divergent it means dividing like seperating.(igneous rock) is where the divegent one goes.

the one that is no plate boundary is sedimentary rock and it occurs by because there is nothing there for it todo there

Explanation:

An area experiences thunderstorms with high winds and a drop in temperature. Which weather event most likely occurred? A. A stationary front moved through the area. B. A fast-moving warm front moved trough the area. C a fast-moving cold front moved through the area. D. A slow-moving warm front followed a fast-moving cold front through the area

Answers

Answer:

C a fast-moving cold front moved through the area.

Explanation:

This is because, since there is a there is a thunderstorm and high winds in the area, this can only be caused by a fast moving front. Also there is a temperature drop, this can only be caused by the fast moving cold front since a cold front has a low temperature.

Thus, for the area to experience thunderstorms with high winds and a drop in temperature, a fast-moving cold front moved through the area.

How many snowmen do you think this sled can destroy? Explain your answer.

Answers

Answer:

342,690

Explanation:

I think, given 342,690 snowmen down a giant hill, that sled could destroy every single snowman :)

can someone help? i don’t need 14

Answers

Answer:

Explanation:

11.) d

12.) f

13.) c

15.) i

pls give me brainliest

what does thermal energy do

Answers

Answer:

Thermal energy can be transferred to one object to another in the form of heat. It causes molecules and atoms to collide with each other because of the rising of heat.

Explanation: Well thermal energy is a example of kinetic energy. It is heated by motion. It is heat that can be measured

true or false? rocks have organic materials and fossil remains in them

Answers

Answer:

trueeeee

Explanation:

The diagram below shows a periodic wave. Which two points on the wave are 180 degrees out of phase?
Please explain as well, thanks so much

Answers

Answer:

A and C are 180 deg out of phase (opposite points on a 360 deg wave)

The two points on the periodic wave  which are 180 degrees out of phase are point A and Point C.

When two points of wave are out of phase?

The two points of a wave is said to be out of phase when they show up or down motion at different times.

If a point on the wave, say (X) is reached to the maximum or minimum point before the other point. Then these two points are said to be out of phase.

Also, when the points are 180 degree apart from each other. Which means if a point is in the crest of the wave and other is on the through.

The diagram below shows a periodic wave. In this diagram,

A and I are the end points of the periodic wave.B,C,D,E,F and G are the other points on the periodic wave.Here, the point A and C are opposite point of each other. So they are 180 degrees out of phase.

Hence, the two points on the periodic wave  which are 180 degrees out of phase are point A and Point C.

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Madeline is measuring wavelengths. Look at her notes above. What mistakes has she made in her measurement? What should she do differently to obtain the correct wavelength?

Answers

she didn’t even measure a wavelength. she should measure crest to crest.

calculate the heat required to change 2.0kg of ice at 0°C to water at 0°C

Answers

Answer:

160000 calories or 669440 Joules

Explanation:

Using the formula as follows;

Q = L × m

Where;

Q = amount of heat (J)

L = specific latent heat

m = mass (g)

* Latent heat (L) required for melting of ice is 80 calories/grams.

* Mass of ice in grams = 2kg × 1000 = 2000g.

Hence, Q = 80 × 2000

= 160000 Calories

1 calorie = 4.184J

160000 calorie = 160000 × 4.184

= 669440J

Use the drop-down menu to answer the question.
According to "Take a Closer Look", what type of lens is used to correct nearsightedness?

Answers

Answer: A.) concave lens

Explanation: i hope this helps shawtay :)

In general, a concave lens (also known as a diverging lens) is used to correct nearsightedness, as stated in "Take a Closer Look." Option C is correct.

What is the lens?

A lens is an optical component that is used to refract (bend) and focus light. It is typically made of a transparent material, such as glass or plastic, and has a specific shape that allows it to alter the path of light as it passes through.

Here,
In general, a concave lens (also known as a diverging lens) is used to correct nearsightedness, as stated in "Take a Closer Look."

A concave lens is thinnest at the center and thicker at the edges, which causes light rays passing through the lens to diverge or spread out. By placing a concave lens in front of a nearsighted eye, the lens causes incoming light rays to diverge more before they reach the eye's lens, which then focuses them properly on the retina, resulting in clearer vision.

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the spring constant for each of these springs 100 000 N m-1. Calculate the distance that each of these rear springs is compressed by this vehicle as shown in the diagram above​

Answers

Answer:

sorry

Explanation:

When 120 V is applied across a 20 m long wire, the magnitude of the current density was found to be 2 * 10 ^ 8 * A / (m ^ 2) . The resistivity of this wire is

Answers

Answer:

[tex]\rho=3\times 10^{-8}\ \Omega-m[/tex]

Explanation:

Given that,

Voltage, V = 120 V

The length of the wire, l = 20 m

The current density of the wire, [tex]\dfrac{I}{A}=2\times 10^8\ A/m^2[/tex]

We need to find the resistivity of this wire. We know that,

[tex]R=\rho \dfrac{l}{A}[/tex]

Where

[tex]\rho[/tex] is the resistivity of wire

Also, [tex]R=\dfrac{V}{I}[/tex]

So,

[tex]\dfrac{V}{I}=\rho \dfrac{l}{A}\\\\\rho=\dfrac{V}{l\dfrac{I}{A}}[/tex]

Put all the values,

[tex]\rho=\dfrac{120}{20\times 2\times 10^8}\\\\=3\times 10^{-8}\ \Omega-m[/tex]

So, the resistivity of this wire is equal to [tex]3\times 10^{-8}\ \Omega-m[/tex].

is a
The wire in a simple circuit
which forms an
unbroken pathway, allowing the
electric charges to flow.
A. switch
B. insulator
C. resistor
D. conductor

Answers

Answer:

I believe the answer is D: Conductor.

Suppose your class invites a person to give a speech. When you test out the sound system in the gym you find there are so many echoes the speaker cannot be understood. What needs to be done to fix this problem?

Answers

Answer:

You either need to lower the volume so the sounds intensity is lessened. Or you can pad the walls to absorb the sound rather than defect.

Explanation:

Sound intensity allows it to be heard further, but in an enclosed room it will start returning. Sound will deflect off of hard objects do to its interactions with solids. A softer and foamy material can dampen it.

What is the difference between the spectrum of an incandescent solid and the spectrum of an incandescent gas?

Incandescent solids emit bright-line spectra; incandescent gases emit continuous spectra.
Incandescent solids emit one wavelength; incandescent gases emit several wavelengths.
Incandescent solids emit continuous spectra; incandescent gases emit bright-line spectra.
Incandescent solids emit scattered spectra; incandescent gases emit continuous spectra.

Answers

Answer:

ncandescent solids emit continuous spectra; incandescent gases emit bright-line spectra.

Explanation:

Materials when heated emit a continuous spectrum with all wavelengths.

Hot gas gases emit a spectrum that depends on the transitions between atomic states, therefore it is a discrete spectrum.

When reviewing the answers, the correct one is:

ncandescent solids emit continuous spectra; incandescent gases emit bright-line spectra.

According to the graph, how many atoms would remain after two half-lives?

20 atoms

80 atoms

40 atoms

50 atoms

Answers

Answer:

Let No be initial no of atoms

N = N0 / 2      after 1 half-life

N = N0 / 4     after 2 half-lives

So after 2 half-lives 20 of the 80 atoms remain

A wire lying along a y axis form y=0 to y=0.25 m carries a current of 2.0 mA in the negative direction of the axis. the wire fully lies in a magnetic field given by (0.3y)i + (0.4y)j Tesla. what is The magnetic force on the wire
A: (0.15i+0.2j) N
B: (0.0015i+0.002j) N
C: (-6.25E-5 k) N
D:(6.25E-5 k) N
E: None of the above

Answers

Answer:

E: None of the above

Explanation:

Since the force on the wire F = ∫idL × B where i = current in wire = 2.0 mA = 2.0 × 10⁻³ A, dL = vector length of wire = dyj and we integrate from y₁ = 0 m and y₂ = 0.25 m, and B = magnetic field = (0.3y)i + (0.4y)j

So, F = ∫idL × B

and we integrate from y₁ = 0 m and y₂ = 0.25 m

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[dyj m × (0.3y)i + (0.4y)j]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[dyj m × (0.3y)i + dyj m × (0.4y)j]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[(0.3y) × dy(j × i) + 0.25 × (0.4y)(j × j)]

F = 2.0 × 10⁻³ A∫₀⁰°²°⁵[(0.3ydy(-k) + 0.1y)(0)]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵(-0.3ydy)k

F = 2.0 × 10⁻³ A[-0.3y²/2]₀⁰°²⁵k

F = -2.0 × 10⁻³ A[0.3(0.25)²/2 - 0.3(0)²/2]k

F = -2.0 × 10⁻³ A[0.3(0.0625)/2 - 0]k

F = -2.0 × 10⁻³ A[0.3(0.0625)/2]k

F = -1 × 10⁻³[0.01875]k N

F = -[0.01875 × 10⁻³]k N

F = -[1.875 × 10⁻⁵]k N

Since the answer is not contained in the options, the answer is E.

The bumper cars crash into each other and stop. Explain why both bumper cars stop after the crash. [4marks]

Answers

Answer:

The collision is inelastic

Explanation:

There are two kinds of collision; elastic collision and inelastic collision. In an elastic collision, both momentum and kinetic energy are conserved.

However, in an inelastic collision, kinetic energy is not conserved. So, when the bumper of two cars collide, the cars come to a stop because the collision is inelastic.

Which kind of wave is generated by a plucked guitar string as the molecules
of air around it begin to vibrate?
O A. Transverse
O B. Surface
O C. Electromagnetic
O D. Longitudinal




PLEASE HELP

Answers

Answer:
D. Longitudinal

Answer:

longitudinal

Explanation:

Heat is the measurement of energy from all the particles that are in a substance.
Please select the best answer from the choices provided : T/F

Answers

Explanation:

the correct answer is (true) if am not mistaking incase am wrong sorry

What is the intensity of sound produced by an elephant's call if it has a power of 0.45 W and you are standing 32.5 m away from the lumbering beast

Answers

Answer:

I = 1.36 x 10⁻⁴ W/m²

Explanation:

The intensity of the sound produced by the Elephant can be calculated by using the following formula:

[tex]I = \frac{P}{A} \\\\[/tex]

where,

I = Intensity of sound = ?

P = power of sound = 0.45 W

A = area = πr² = π(32.5 m)² = 3318.3 m²

Therefore,

[tex]I = \frac{0.45\ W}{3318.3\ m^2} \\\\[/tex]

I = 1.36 x 10⁻⁴ W/m²

All electric charge is based on the what in Atoms

Answers

Answer:

c. Protons and electrons

Explanation:

electrons carry out negative charge

protons carry out positive charges

A solid metal ball with a mass of 10.0 kg is placed on a smooth floor what force would be needed to accelerate the ball at a rate of 2.0 m/s2.
40 N
20 N
5 N
0.2 N

Answers

20n no doubt because the 10.0 / 2.0

As an electric current flows through the copper sulfate solution, copper settles on the negative electrode. How will the mass of the copper covering this electrode change if we increase the current by 4 times and halve its flow time?

Answers

Answer:

Ține ogaru ca să o lingă pe măta în cur să nu mai facă alt prost ca tine

What element is formed in the following nuclear reaction

Answers

Answer:

Oxygen or more precisely, the O-15 isotope.

POSSIBLE 1. Which of the following are examples of a physical reactions: (1) ice melting, (2) pencil breaking, (3) iron rusting, (4) wood burning? a. 1.4 b. 3,4 c. 2.3 d. 1,2​

Answers

Answer:

D) 1 & 2

Explanation:

Ice melting can be refrozen and although the pencil breaks, it doesn't change the chemical formula of the pencil

9. Bryce drove his car 10 km from his house to Belle Plaine. It took him 8 minutes. He got stopped at a long
traffic light on the return home and so he took 2 minutes longer on the return trip. What was Bryce's average
speed in km per minute? (3 pt)

Answers

Answer:

2 km/minute

Explanation:

Here, we are asked to calculate the average speed in km/minute.

As we know that,

Average speed = Total distance ÷ Total time taken

Here,

→ Total distance = 10 km + 10 km

Because, he first drove 10 km from his house to Belle Plaine and then he again came back to his house.

Total distance = 20 km

→ Total time = 8 minutes + 2 minutes

Total time = 10 minutes

Substitute the values in the formula of average speed,

→ Average speed = Total distance ÷ Total time taken

→ Average speed = 20km ÷ 10 minutes

Average speed = 2 km per minute

how can a sound of a different note be produced in a guitar without changing the length of wire?​

Answers

Answer:

how tightly strung the wire is

-- Make the string tighter or looser.

-- Keep the same length, but make the string thicker or thinner.

-- Touch the string at a point exactly 1/2, 1/3, 1/4, or 1/5 of its length from one end.

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