Describe the steps in solving the problem below.
A red cart of mass 4 kg slides to the right on a frictionless track with a velocity of +4 m/s. It collides with the stationary blue cart of mass 1 kg. After the collision, the blue cart has a velocity of +8 m/s. Calculate the velocity of the red cart after the collision. ;)


Answers

Answer 1

The velocity of the red cart after the collision is 2 m/s

From the law of conservation of momentum, initial momentum of system = final momentum of system.

m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄ where m₁ = mass of red cart = 4 kg, v₁ = velocity of red cart before collision = + 4 m/s, v₃ = velocity of red cart after collision, m₂ = mass of blue cart = 1 kg, v₂ = velocity of blue cart before collision = 0 m/s (since it is initially at rest) and v₄ = velocity of blue cart after collision = + 8 m/s.

Substituting the values of the variables into the equation, we have,

m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄

4 kg × 4 m/s + 1 kg × 0 m/s = 4v₃ + 1 kg × 8 m/s

16 kgm/s + 0 kgm/s =  4v₃ + 8 kgm/s

16 kgm/s =  4v₃ + 8 kgm/s

16 kgm/s - 8 kgm/s =  (4 kg)v₃

(4 kg)v₃ = 8 kgm/s

Divide both sides by 4 kg, we have

v₃ = 8 kgm/s ÷ 4 kg

v₃ = 2 m/s

The velocity of the red cart after the collision is 2 m/s.

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Related Questions

If an automobile slows from 26 m/s to 18 m/s in a period of 4.0 s, what was the average acceleration?

Answers

Answer: -2m/s²

Explanation:

Each second, the acceleration decreases of 2m/s²

N.B.: in physics, deceleration is also acceleration.

i swimmers swims 180m in 20 seconds how much meters does she swim in a second

Answers

Answer:

20

Explanation:

20m= 1 seconds

40m= 2 seconds

180÷9=20

An "energy bar" contains 26 ggof carbohydrates.How much energy is this in joules?

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1.How did earthquakes affect the rise and progress of the civilization in America and the Pacific islands?

2. What should you do when a natural disaster like earthquake occurs in your place?

3. Among the three types of waves, what is the most destructive? Why?

Please po pasagot​

Answers

Based on geographical analysis, the earthquakes affect the rise and progress of the civilization in America and the Pacific islands by causing slope failures, liquefaction, and tsunami.

The effect of earthquakes in America and the Pacific Islands has caused people displacement as buildings collapsed, and water from nearby oceans caused the destruction of physical properties.

For safety reasons, when a natural disaster like an earthquake occurs in your place, you are expected to stay away from buildings if you're outside.

Similarly, if you are in a car, you should stop and pull over.

If you are in bed during the earthquake, wrap your head and neck with a pillow while turning your head upside.

Also, avoid doorways or windows if you are inside.

Considering the three types of waves, the most destructive wave is known as surface waves.

Surface waves have the most potent vibrations and can travel through any earth surface, whether air or water.

Other types of waves include Transverse waves and Longitudinal waves.

Hence, in this case, it is concluded that the effect of earthquakes is negative on human society, and waves can be destructive.

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help -----------------------------------------

Answers

Answer:

H,G,E,D,C,B,A,I,F

Explanation:

F is an ignious intrusion and I cross cuts H to A so it must be newer.

Which wave has the highest frequency?

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Answer:its E

Explanation:

State the universal law of gravitation.
Answer in detail​

Answers

Answer:

Explanation:

Newton's law of universal gravitation is that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Where does the energy released in a nuclear decay reaction come from


A. Electrons


B. Chemical bonds


C. Positrons


D. The binding energy of the nucleus

Answers

The answer is electrons

30 POINTS!!! CAN U AWNSER IT?? :)
A space ship is cruising at 2,500.0 km/hr with the engines off. The engines fire for 8.00s
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Answers

Answer:

5235.84 kg

Explanation:

There is one theorem - whose proof I will never remember without having to drag calculus in there - that says that the variation of momentum is equal to the force applied times the time the application last.

[tex]F\Delta t = m \Delta v[/tex] As long as the engine isn't ejecting mass - at this point it's a whole new can of worm - we know the force, we know the variation in speed, time to find the mass. But first, let's convert the variation of speed in meters per second. The ship gains 250 kmh, [tex]\Delta v = 69.4 m/s[/tex];

[tex]45 450 \cdot 8 = 69.4 m \rightarrow m = \frac{45450\cdot 8}{69.4} = 5235.84 kg[/tex]

4. symbol for the gravitational force ?

Answers

Answer: G

Explanation:

One g is the force per unit mass due to gravity at the Earth's surface and is the standard gravity (symbol: gn), defined as 9.80665 metres per second squared, or equivalently 9.80665 newtons of force per kilogram of mass.

The first observation of block oscillation was in a semiconductor superlattice with period 10nm.

Answers

Answer:How did family life under Prince Shotoku’s rule reflect Confucian ideals?

Women had rights and were equal to their husbands.

Children were taught to value individualism over community.

People were expected to give up worldly concerns and turn to nature.

Households were structured to maintain order, with the husband as head.

Explanation:

what is cheetah speed and strength?

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Answer:

Speed: 109.4–120.7 km/h (68.0–75.0 mph)

Strength: Couldn't find out.

Explanation:

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Answers

When the experimental measurements diverge at very low values of the voltages. When the ratio of current to saturated current is very small. That is, i/I less than or equal to 1/100. When there is a finite current at Voltage

V = 0

Diffusion will have influence on current - voltage curve in the working electrode which is ionization detector.

The estimation under set of conditions that is possible, despite the spherical shape of the working electrode, to use linear diffusion equations to theoretically predict the current vs voltage curve expected in this experiment will be:

When the experimental measurements diverge at very low values of the voltageswhen the ratio of current to saturated current is very small. That is, i/I less than or equal to 1/100When there is a finite current at Voltage V = 0

Where

i = electric current

I = saturated current

V = voltage supplied

The curve expected will therefore give exponential curve from positive to negative domain because of the diffusion of ions from different directions

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2. physical quantities which do not depend on any physical quantities for their measurements are known as​

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Answer:

Fundamental quantities

si el atomo anterior de litio eléctricamente neutro ¿cuantos electrones deberia tener?

Answers

debe ser de tres electrones

5 a
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Answers

Answer:

Atmospheric pressure is caused by the gravitational attraction of the planet on the atmospheric gases above the surface and is a function of the mass of the planet, the radius of the surface, and the amount and composition of the gases and their vertical distribution in the atmosphere

Explanation:

What is benford's law.

Answers

Answer:

Known variously as the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, Benford's Law is the observation that the first digit in many real-world collections of numerical data will be tiny, as shown by the example of the first-digit law.

Explanation:

Hope it helps:)

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Answers

Answer:

The answer will be 90

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Answers

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Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

Given data:

The gravitational force = 30 N

Mass 1 =m₁

Mass 2=m₂

Distance between charges = R

Condition given:

Mass 1 = 2m₁

Mass 2= 2m₂

Distance  between charges = 3R

[tex]\rm F = \frac{Gm_1m_2}{R^2}[/tex]

Case 2;

[tex]\rm F'=\frac{G(2m_1)(2m_2)}{(3R)^2} \\\\ F'=\frac{4}{9} \frac{Gm_1m_2}{R^2} \\\\ F'=\frac{4}{9} F \\\\ F'=\frac{4}{9} \times 30 \\\\ F'=13.33 \ N[/tex]

Hence, the forces between the masses will be 13..33 N.

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#SPJ1

Find the average speed of the car if it's speed is 50km/hour and distance is 10 km.

Answers

Answer:

50km/hour

Explanation:

the average speed and the speed are the same

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Answer:

The low-level easterly African jet stream is considered to play a crucial role in the southwest monsoon of Africa, and helps form the tropical waves which move across the tropical Atlantic and eastern Pacific oceans during the warm season.

Explanation:

1. What two things did Walker learn while she was completing her PhD? How did this impact her studies? Why was one of these things unfortunate? How would you feel if you were in her shoes? Explain.

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Answers

If we use visible light to explore the sky, a greater part of the universe will not be visible.

During her PhD, Walker learnt that the universe is quite large. As a result, she would need a telescope to learn about the universe rather than a spaceship. Secondly, she learnt that it is impossible to explore the universe on a spaceship rather she had to depend on the principles of astronomy.

The visible spectrum comprises of electromagnetic waves of wavelength 400 nm - 700 nm. If we use visible light to explore the sky, a greater part of the universe will not be visible because we will be limited to seeing only the  visible light portion of the electromagnetic spectrum.

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Answers

Answer:

Only part of the incident energy from an X-ray source may be used by the ejected electron (some of the energy can be used by the exiting photo electron and some of the energy by the exiting photon).

Auger electrons depend on the energy difference between energy levels of an atom and are fixed - so the ejected electron will have a fixed energy depending on the difference of energy levels of the atom. The Auger effect is called a "radiationless" transition because no radiation is detected outside of the atom.

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Answers

Answer:

Quick Answer:

a.  8.9Ω

b.  1.2×104 C

Explanation:

Answer:

Answer provided in explanation

Explanation:

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Answers

Answer:

Advantage: Helps us to walk without slipping.Helps machines work

Disadvantage:

We slip on a wet floor.Causes the smoothness of tires and smoothness of shoes soul.

In general, a _______ intake manifold produces high torque at _______ engine rpm because of the increased amount of time between the air pulses due to the inertia of the long column of air.

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There are two major types of intake manifold. In general, A long intake manifold produces high torque at lower engine rpm because of the increased time between the air pulses.

Intake Air Heating is made up of different methods that manufacturers do use to heat intake manifolds.

This Heating system on vehicles are often with emission controls, air cleaners use a thermostatic valve to control how much hot air enters the air cleaner.

Conclusively there are two forms of intake manifold. They are the long and short intake manifold.

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A space ship, initially traveling at a speed of 1,265 m/s, begins to accelerate at a rate of 16
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Answer:

I Think the answer is 1380

Explanation:

Answer: press the link

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Answers

Answer:

Seismometer

Explanation:

Seismometer measures Earth quake epicenter while seismograph measures Earth quake size

I NEED THIS BY TODAY DDD:

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I can't see the picture, can you right down the same thing that is the picture in the comments so I can help you.

Explanation:

Thx.

the definition of convetion

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the defintion of convetion is ( the movement cuased within a fluid by the tendency of hotter and therefore less dense msterial to rise, and colder, denser material to sink under the influence of gravity
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