A 4kg and 5kg bodies moving on a frictionless horizontal surface at a velocity of ( -6i )m/s and ( +3 )m/s respectively. Collide a head on elastic collision. What is the velocity ( magnitude and direction) of the each body after collision?

Answers

Answer 1

Answer:

4 kg → +4 m/s

5 kg → -5 m/s

Explanation:

The law of conservation of momentum states that:

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'left side → velocities before collisionright side → velocities after collision

You'll notice that we have two missing variables: v₁' & v₂'. Assuming this is a perfectly elastic collision, we can use the conservation of kinetic energy to set the initial and final velocities of the individual bodies equal to each other.

v₁ + v₁' = v₂ + v₂'  

Let's substitute all known variables into the first equation.

(4)(-6) + (5)(3) = (4)v₁' + (5)v₂' -24 + 15 = 4v₁' + 5v₂' -9 = 4v₁' + 5v₂'  

Let's substitute the known variables into the second equation.

(-6) + v₁' = (3) + v₂' -9 = -v₁' + v₂' 9 = v₁' - v₂'  

Now we have a system of equations where we can solve for v₁ and v₂.

-9 = 4v₁' + 5v₂' 9 = v₁' - v₂'  

Use the elimination method and multiply the bottom equation by -4.

-9 = 4v₁' + 5v₂' -36 = -4v₁' + 4v₂'

Add the equations together.

-45 = 9v₂'-5 = v₂'

The final velocity of the second body (5 kg) is -5 m/s. Substitute this value into one of the equations in the system to find v₁.  

9 = v₁' - v₂'9 = v₁' - (-5) 9 = v₁' + 5 4 = v₁'

The final velocity of the first body (4 kg) is 4 m/s.

We can verify our answer by making sure that the law of conservation of momentum is followed.

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂' (4)(-6) + (5)(3) = (4)(4) + (5)(-5)-24 + 15 = 16 - 25 -9 = -9

The combined momentum of the bodies before the collision is equal to the combined momentum of the bodies after the collision. [✓]


Related Questions

Un proyectil es lanzado con un ángulo de 30⁰ y una velocidad inicial de 20m/s ¿cual es el punto más alto de su trayectoria? ¿cual es su alcanzar horizontal? ¿cuánto tiempo está en el aire¿

Answers

Answer:

Thus, the horizontal range is 17.7 m, and the maximum height is 10.2 m.

Explanation:

velocity of projection, v = 20 m/s

Angle of projection, A = 30 degree

The horizontal range is

[tex]R =\frac{v^{2}sin2A}{g}\\R=\frac{20\times 20\times sin60}{2\times 9.8}\\R=17.7 m[/tex]

The maximum height is

[tex]H =\frac{v^{2}sin^{2}A}{2g}\\H=\frac{20\times 20\times sin^{2}30}{9.8}\\H=10.2 m[/tex]

Numa máquina térmica uma parte da energia térmica fornecida ao sistema(Q1) é transformada em trabalho mecânico (τ) e o restante (Q2) é dissipado, perdido para o ambiente.



sendo:

τ: trabalho realizado (J) [Joule]
Q1: energia fornecida (J)
Q2: energia dissipada (J)


temos: τ = Q1 - Q2

O rendimento (η) é a razão do trabalho realizado pela energia fornecida:

η= τ/Q1

Exercícior resolvido:
Uma máquina térmica cíclica recebe 5000 J de calor de uma fonte quente e realiza trabalho de 3500 J. Calcule o rendimento dessa máquina térmica.

solução:

τ=3500 J
Q1=5000J

η= τ/Q1
η= 3500/5000
η= 0,7 ou seja 70%

Energia dissipada será:



τ = Q1 - Q2
Q2 = Q1- τ

Q2=5000-3500
Q2= 1500 J

Exercicio: Qual seria o rendimento se a máquina do exercicio anterior realizasse 4000J de trabalho com a mesma quantidade de calor fornecida ? Quanta energia seria dissipada agora?



obs: Entregar foto da resolução ou o cálculo passo a passo na mensagem

Answers

Numa máquina térmica uma parte da energia térmica fornecida ao sistema(Q1) é transformada em trabalho mecânico (τ) e o restante (Q2) é dissipado, perdido para o ambiente.



sendo:

τ: trabalho realizado (J) [Joule]
Q1: energia fornecida (J)
Q2: energia dissipada (J)


temos: τ = Q1 - Q2

O rendimento (η) é a razão do trabalho realizado pela energia fornecida:

η= τ/Q1

Exercícior resolvido:
Uma máquina térmica cíclica recebe 5000 J de calor de uma fonte quente e realiza trabalho de 3500 J. Calcule o rendimento dessa máquina térmica.

solução:

τ=3500 J
Q1=5000J

η= τ/Q1
η= 3500/5000
η= 0,7 ou seja 70%

Energia dissipada será:



τ = Q1 - Q2
Q2 = Q1- τ

Q2=5000-3500
Q2= 1500 J

Exercicio: Qual seria o rendimento se a máquina do exercicio anterior realizasse 4000J de trabalho com a mesma quantidade de calor fornecida ? Quanta energia seria dissipada agora?



obs: Entregar foto da resolução ou o cálculo passo a passo na mensagem

Who's Buzz Aldrin?
______________​

Answers

Answer:

Buzz Aldrin was American astronaut, engineer and fighter pilot. he did three spacewalks as pilot of the 1966 Gemini 12 mission, and as the lunar modulbe pilot on the 1969 Apollo 11 mission, he and mission commander Neil Armstrong were the first two people to land on the Moon.

I hope it helps

have have a great day

Nitrogen gas at standard atmospheric pressure 101.3 kPa, has a volume of 0.080 m3. If there are 3.6 mol of the gas, what is the temperature?

Answers

Answer:

271 K

Explanation:

Answer:

The temperature of Nitrogen is 270.85 K.

Explanation:

What is perfect gas ?

A gas that follows Boyle's law , Charle's law and law of pressure , is called perfect gas.

Given data;

[tex]P =101.3 KPa , V = 0.08 m^{3} , \\ n = 3.6 mol , R = 8.31\\T = ?[/tex]

By the formula,

P.V = n .R.T

On putting values

[tex]1.013[/tex] x [tex]10^{5}[/tex] x [tex]0.08[/tex] = [tex]3.6[/tex] x [tex]8.31[/tex] x [tex]T[/tex]

So [tex]T =\frac{1.013*10^{5} * 0.08}{3.6 * 8.31}[/tex]

 [tex]T =\frac{8104}{29.92}[/tex]

[tex]T = 270.85 K[/tex]

Hence the temperature of Nitrogen is 270.85 K

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In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes were sliding toward each other and crashed. The crash caused both boxes to change speed. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the boxes changed speed.
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2

Answers

Answer:

The second one.

Explanation:

It caused both to change speed because they have both the same mass.

Planets in the solar system revolve around the Sun in an orbital path and can vary from rocky and terrestrial objects to gaseous and liquid object. Which set of characteristics is unique to the outer planets

Answers

Answer:

Gaseous; liquid.

Explanation:

A planet can be defined as a large celestial body having sufficient mass to allow for self-gravity and make it assume a nearly circular shape (hydrostatic equilibrium), revolves in an orbit around the Sun in the solar system and has a cleared neighborhood.

Some examples of the planet are Mars, Venus, Earth, Mercury, Neptune, Jupiter, Saturn, Uranus, Pluto, etc.

Basically, the planets are divided into two (2) main categories and these includes;

I. Inner planets: these planets are the closest to the sun and comprises of mercury, venus, earth and mars.

II. Outer planets: these planets are beyond the asteroid belt and comprises of jupiter, saturn, uranus and neptune, from left to right of the solar system.

These outer planets are made mostly of gases (hydrogen and helium) causing them to be less dense than the solid inner planets. These gases are generally known to be less dense in terms of physical properties.

In conclusion, Planets in the solar system can vary from rocky and terrestrial objects to gaseous and liquid object.

However, the set of characteristics which is unique to the outer planets are gaseous and liquid.

how much energy must be absorbed by 20.0 g of water to change its temperature from 95 degrees celsius to 125 degrees celsius

Answers

Answer:

I got 2508 J

Explanation:

q=mct

125-95

= 30 * 4.18 * 20

= 2508

A 0.2 kg hockey park is sliding along the eyes with an initial velocity of -10 m/s when a player strikes it with his stick, causing it to reverse its direction and giving it a velocity of +25 m/s the impulse the stick applies to the park is most nearly

Answers

Answer:

The impulse applied by the stick to the hockey park is approximately 7 kilogram-meters per second.  

Explanation:

The Impulse Theorem states that the impulse experimented by the hockey park is equal to the vectorial change in its linear momentum, that is:

[tex]I = m\cdot (\vec{v}_{2} - \vec{v_{1}})[/tex] (1)

Where:

[tex]I[/tex] - Impulse, in kilogram-meters per second.

[tex]m[/tex] - Mass, in kilograms.

[tex]\vec{v_{1}}[/tex] - Initial velocity of the hockey park, in meters per second.

[tex]\vec{v_{2}}[/tex] - Final velocity of the hockey park, in meters per second.

If we know that [tex]m = 0.2\,kg[/tex], [tex]\vec{v}_{1} = -10\,\hat{i}\,\left[\frac{m}{s}\right][/tex] and [tex]\vec {v_{2}} = 25\,\hat{i}\,\left[\frac{m}{s} \right][/tex], then the impulse applied by the stick to the park is approximately:

[tex]I = (0.2\,kg)\cdot \left(35\,\hat{i}\right)\,\left[\frac{m}{s} \right][/tex]

[tex]I = 7\,\hat{i}\,\left[\frac{kg\cdot m}{s} \right][/tex]

The impulse applied by the stick to the hockey park is approximately 7 kilogram-meters per second.  

If a red star and a blue star both have the same radius and both are the same distance from Earth, which one looks brighter in the night sky? Explain why.

Answers

Answer:

The blue one.

Explanation:

Im pretty sure its because the blue is hotter.

What is a core sample?

Answers

Answer:

it's a part of plate that moves with a plate that's the answer

(reply with an answer to the question or get reported) Please solve it with the steps ty​

Answers

Answer:

vertical force=50

horizontal force=35

plsss plsss plsss helppppp ASAP thank u ❤️​

Answers

Answer:

7. (D) uniformly accelerated vertical motion

8. (A) zero

9. (A) zero

10. (C) parabolic

Answer:

7.Uniformly accelerated vertical motion

8.0m/s²

9.9.8m/s

10.parabolic

11.vertical component.

A beam of light shines on a plane mirror with an angle of incidence of 40°. The reflected light then hits another parallel plane mirror. What is the angle of reflection from the second mirror? A. 40° B. 50° C. 80° D. 90° E. 140°

Answers

Answer:

40degrees

Explanation:

Since the mirrors are parallel, the angle of incidence on the first mirror will be the same as the angle of incidence on the second mirror.

Angle of incidence on the second mirror = 40degrees

According to the second law of reflection, the angle of incidence is equal to the angle of reflection. Hence;

angle of incidence = angle of reflection = 40degrees

This shows that the angle of reflection from the second mirror is 40degrees

2. In any energy transformation, energy is _____. A created B conserved C destroyed

Answers

Answer:

B energy can't be created or destroyed

What types of changes occur during the erosion and deposition of sediments in a river?

Answers

Answer:

Slow-moving rivers generate extensive floodplains and meanders through erosion and deposition. Stream and river deposition can result in the formation of alluvial fans and deltas. Natural levees may be formed by floodwaters. Caves and sinkholes can arise as a result of groundwater erosion and deposition.

Explanation:

s

The erosion and deposition of sediments in a river creates broad floodplains and meanders.

What is Erosion and Deposition?

Deposition occurs when sediment, a combination of soil and rock produced by weathering, is eroded and transported to a new area.

Deposition is the act of depositing silt that has been transported by the wind, water, sea, or ice.

Earthen materials are worn away during erosion, a geological process in which they are moved by wind or water.

The removal of soil, rock, or dissolved material from one area on the Earth's crust and subsequent transport to another region for deposition are known as erosional processes. Erosion differs from weathering, which is a static process.

Given data ,

Let the erosion and deposition of sediments be deposited in a river

Now , Pebbles, sand, mud, and salts that have been dissolved in water can all be used to convey sediment. Afterwards, salts may be left behind by organic action.

Now , floodplain is caused when erosion happens

And , A floodplain is a broad, level or nearly level area of land where the stream flows.

Meandering streams that wander from side to side broaden the plain by eroding it during the formation of the plain. Flooding can occur when stream flows overflow from their channel due to very excessive rainfall or quick snow-melt.

Hence , floodplain and meandering occurs due to erosion and deposition

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A student applies a 10 N force to a wood block with a mass of 5 kg. The block is pushed across four different surfaces. The accelerations of the block are recorded. Which surface showed the least friction?

Answers

The complete question is as follows: A student is subjected to a reaction force of 10 N northward from a 5 kg block while pushing the block over a smooth, level surface. Ignoring friction, what is the acceleration of the block?

Answer: The acceleration of the block is [tex]2 m/s^{2}[/tex].

Explanation:

Given: Force = 10 N

Mass = 5 kg

It is known that force applied on an object is the product of mass and acceleration.

Mathematically, [tex]F = m \times a[/tex]

where,

F = force

m = mass

a = acceleration

Substitute the values into above formula as follows.

[tex]F = m \times a\\10 N = 5 kg \times a\\a = \frac{10}{5}\\= 2 m/s^{2}[/tex]

Thus, we can conclude that the acceleration of block is [tex]2 m/s^{2}[/tex].

If a sled has a mass of 4kg what is the force of gravity on the sled?

Answers

Answer:

Explanation:

Gravity pulls everything down at the same rate of 9.8 m/s/s. If you're looking for the normal force, which is the same as the weight of the object, we'll find that, just in case.

w = mg which says that the normal force/weight of an object is equal to its mass times the pull of gravity:

w = 4.0(9.8) so

w = 39N

The blank
is the organ responsible for cleaning a person's blood.

Answers

Liver is the correct answer
The answer is liver

If a 70 kg man is standing on the surface of the earth, then what is his weight on the moon

Answers

Answer:

P = 113.4 N

Explanation:

We know that if it is on the Moon it has another gravity. Therefore, it is known through the International System that the gravity of the Moon is 1.62 m/s², so..

Data:

m = 70 kgg = 1.62 m/s²P = ?

Use formula:

[tex]\boxed{\bold{P=m*g}}[/tex]

Replace and solve:

[tex]\boxed{\bold{P=70\ kg*1.62\frac{m}{s^{2}}}}[/tex][tex]\boxed{\boxed{\bold{P=113.4\ N}}}[/tex]

The man's weight is 113.4 Newtons.

Greetings.

A circuit has a voltage of 10 V and a current of 5 A. What must the resistance be?
0.5 ohms
50 ohms
2 ohms
15 ohms

Answers

Answer:

R=V/I

R= 2

Explanation:

R = 10V/5A

R = 2ohms

ayuda porfa es de actividades fisicas

Answers

Translate to English please

Q:
The kinetic energy of an object can be determined
using the equation KE = 1/2mv^2, where ke is the
kinetic energy, m is the mass, and v is the speed of
the object. What is the mass of an object moving at
a speed of 12m/s that has 36 J of kinetic energy?

A:

0
2.0 kg
8.0 kg
0.13 kg
0.50 kg

Answers

Answer:

Explanation:

We will use the KE equation you wrote here and fill in what we are given:

[tex]36=\frac{1}{2}m(12)^2[/tex] and isolating the m:

[tex]m=\frac{2(36)}{12^2}[/tex] which gives us

m = .50 kg

A car start moving from the rest.If the acceleration of the car is 2m/2 for 10 seconds what will be it final velocity

Answers

Answer:

20 m/s

Explanation:

Applying,

a = (v-u)/t.................... Equation 1

Where a = acceleration of the car, v = final velocity of the car, u = initial velocity of the car, t = time.

make v the subject of the equation

v = u+at.............. Equation 2

From the question,

Given: u = 0 m/s(start from rest), a = 2 m/s², t = 10 seconds

Substitute these values into equation 2

v = 0+(2×10)

v = 20 m/s

television set changes electrical energy to sound and light energy. In this process, some energy is *

Answers

Answer :light

Explanation:  

A television set is another device that operates by the transformation of energy. An electrical beam from the back of the television tube strikes a thin layer of chemicals on the television screen, causing them to glow. In this case, electrical energy is converted into light.

1. If you use an applied force of 45N to slide a 12Kg wooden crate across a floor at a constant velocity, what is the coefficient of kinetic friction between the crate and the floor?

Answers

Answer:

Coefficient of kinetic friction = 0.38 (Approx.)

Explanation:

Given:

Applied force = 45 N

Mass of wooden crate = 12 kg

Find:

Coefficient of kinetic friction

Computation:

Coefficient of kinetic friction = Applied force / (Mass)(Acceleration due to gravity)

Coefficient of kinetic friction = 45 / (12)(9.8)

Coefficient of kinetic friction = 45 / 117.6

Coefficient of kinetic friction = 0.3826

Coefficient of kinetic friction = 0.38 (Approx.)

particles that are found in the sun's plasma​

Answers

Answer:

This plasma mostly consists of electrons

The answer is electrons

Monochromatic light falling on two very narrow slits 0.048mm apart. Successive fringes on a screen 5.00m away are 6.5cm apart near the center of the pattern.What is the wavelength and frequency of the light?

Answers

Answer:

λ = 5.85 x 10⁻⁷ m = 585 nm

f = 5.13 x 10¹⁴ Hz

Explanation:

We will use Young's Double Slit Experiment's Formula here:

[tex]Y = \frac{\lambda L}{d}\\\\\lambda = \frac{Yd}{L}[/tex]

where,

λ = wavelength = ?

Y = Fringe Spacing = 6.5 cm = 0.065 m

d = slit separation = 0.048 mm = 4.8 x 10⁻⁵ m

L = screen distance = 5 m

Therefore,

[tex]\lambda = \frac{(0.065\ m)(4.8\ x\ 10^{-5}\ m)}{5\ m}[/tex]

λ = 5.85 x 10⁻⁷ m = 585 nm

Now, the frequency can be given as:

[tex]f = \frac{c}{\lambda}[/tex]

where,

f = frequency = ?

c = speed of light = 3 x 10⁸ m/s

Therefore,

[tex]f = \frac{3\ x\ 10^8\ m/s}{5.85\ x\ 10^{-7}\ m}\\\\[/tex]

f = 5.13 x 10¹⁴ Hz

If you shine a light of frequency 375hz on a double slit setup , and you measure the slit separation to be 950 nm and the screen distance to be 4030 nm away , what is the distance from the zero order fringe to the first order fringe ?

Answers

Answer:

y = 33.93 10⁵ m

Explanation:

This is an interference exercise, for the contributory interference is described by the expression

           d sin θ = m λ

let's use trigonometry for the angle

           tan θ = y / L

how the angles are small

          tan θ = sin θ / cos tea = sin θ

 

we substitute

         sin θ = y / L

        d y / L = m λ

         y = m λ L / d

the light fulfills the relation of the waves

       c = λ f

       λ = c / f

       λ = 3 10⁸ /375

       λ = 8 10⁵ m

first order m = 1

let's calculate

        y = 1  8 10⁵  4030 10-9 / 950 10-9

        y = 33.93 10⁵ m

A cyclist is riding his bike up a mountain trail. When he starts up the trail, he is going 8 m/s. As the trail gets steeper, he slows to 3 m/s in 1 minute. What is the cyclist's acceleration?Felipe drives his car at a velocity of 28 m/s. He applies the brake, which slows the vehicle down at a rate of 6.4 m/s2 and causes it to slow to a stop. How long does it take for the car to stop? Round your answer to the nearest tenth.

Answers

Answer:

a)   a = - 0.0833 m / s²,  b)   t = 4.4 s

Explanation:

a) this is a kinematics exercise where the acceleration is along the inclined plane

         v = v₀ - a t

         a = v₀ - v / t

         a = 3 - 8/60

         a = - 0.0833 m / s²

b) in this case the final velocity is zero

         v = v₀ - a t

         0 = v₀ - at

         t = v₀ / a

         t = 28 / 6.4

         t = 4.375 s

         t = 4.4 s

please help
a girl pulls a wheeled suitcase with a force of 3N. If the suitcase has a mass of 6 kg, what is the acceleration?

Answers

Explanation:

Start with what you know and list your knowns and unknowns

F = ma

F= 3N

m = 6kg

a =?

3N = 6kg x a

solve for a

3N / 6kg = a

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