Write down the conservation of momentum?​

Answers

Answer 1
Law of conservation of momentum states that when two objects collide with each other , the sum of their linear momentum always remains same or we can say conserved and is not effected by any action, reaction only in case is no external unbalanced force is applied on the bodies.
Let,
m
A

= Mass of ball A
m
B

= Mass of ball B
u
A

= initial velocity of ball A
u
B

= initial velocity of ball B
v
A

= Velocity after the collision of ball A
v
B

= Velocity after the collision of ball B
F
ab

= Force exerted by A on B
F
ba

= Force exerted by B on A
Now,
Change in the momentum of A= momentum of A after the collision - the momentum of A before the collision
= m
A

v
A

−m
A

u
A


Rate of change of momentum A= Change in momentum of A/ time taken
=
t
m
A

v
A

−m
A

u
A




Force exerted by B on A (F
ba

);
F
ba

=
t
m
A

v
A

−m
A

u
A



........ [i]
In the same way,
Rate of change of momentum of B=
t
m
b

v
B

−m
B

u
B




Force exerted by A on B (F
ab

)=
F
ab

=
t
m
B

v
B

−m
B

u
B



.......... [ii]
Newton's third law of motion states that every action has an equal and opposite reaction, then,
F
a

b=−F
b

a [ ' -- ' sign is used to indicate that 1 object is moving in opposite direction after collision]

Using [i] and [ii] , we have
t
m
B

v
B

−m
B

u
B



=−
t
m
A

v
A

−m
A

u
A




m
B

v
B

−m
B

u
B

=−m
A

v
A

+m
A

u
A


Finally we get,
m
B

v
B

+m
A

v
A

=m
B

u
B

+m
A

u
A


This is the derivation of conservation of linear momentum.

Related Questions

If there is 3.4 m3 of methane gas in a container with a pressure of 18.9 atm and the container expands until the methane has a pressure of 2.2 atm, what is the final volume of the methane? Temperature is constant at 305 K. A. 12.23 m3 B. 141.37 m3 C. 29.21 m3 OD. 2.53 m3​

Answers

Answer:

C. 29.21 m³

Explanation:

Given the following data;

Initial volume, V1 = 3.4 m³Initial pressure, P1 = 18.9 atmFinal pressure, P2 = 2.2 atm

To find the final volume, we would use Boyle's law;

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

PV = K

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Making V2 the subject of formula, we have;

[tex] V_{2} = \frac {P_{1}V_{1}}{P_{2}} [/tex]

Substituting the values into the formula, we have;

[tex] V_{2} = \frac {18.9 * 3.4}{2.2} [/tex]

[tex] V_{2} = \frac {64.26}{2.2} [/tex]

Final volume, V2 = 29.21 m³

A block of amber is placed in water and a laser beam travels from the water through the amber. The angle of incidence is 35 degrees while the angle of refraction is 24 degrees. What is the index of refraction of amber?

(index of refraction of water is 1.33)

Answers

Answer: 1.88

Explanation

Applying Snell’s Law, sin(1)/sin(2) = n(2)/n(1), where n is the index of refraction and sin 1 and 2 being of incidence and refracted respectively.

1) sin35/sin24 = n(2)/1.33
2) 1.41 = n(2)/1.33
3) n(2) = 1.41 x 1.33
4) n(2) = 1.88

Hope this helps :)

Generators?

A)take motion and induce a current

B)take motion and produce a magnetic field

C)take a current produce spin

D)take a magnetic field and produce spin

Answers

Answer:

A)take motion and induce a current

Explanation:

i hope it will be helpful

Solar energy is a clean, renewable energy source. It is expensive to build a solar plant, but there is no fuel cost only maintenance. Why does solar energy not play a bigger role in energy production today?

Answers

Answer:

Energy production requires the setting up of a complete interconnected chain from generation of energy from the root source of the energy to the storage of the generated energy and the eventual utilization of the energy when required

Solar energy, indirectly, continues to be the main source of energy, however, the direct use of solar energy to power the systems we use in our everyday life, require the development of technologies, such as high efficiency solar cells, means of energy storage, and compatible efficient energy usage which are industrial areas that are seeing good progress but in which the current developed equipment are expensive to produce, and  due to their efficiency, are undergoing further research and development

Therefore, due to the continuous increasing improvement in solar technology which can observed, the use of the produced energy through solar is evolving, and therefore, will continue to play a continuously increasing but lower role compared to other sources of energy which have been developed to satisfactory level that can drive an industry, considering the financial investment involved

Explanation:

Define measurement with examples.​

Answers

Explanation:

Measurement is defined as the act of measuring or the size of something. An example of measurement means the use of a ruler to determine the length of a piece of paper. An example of measurement is 15" by 25". ... The dimension, quantity, or capacity determined by measuring.

Measurement refers to the comparison of unknown physical quantity with a known quantity.

for eg. measurement of body while sewing clothes.......

Draw a wave that has a wavelength of 3 cm and an amplitude of 1 cm. Label the wavelength, the amplitude, the rest position, and the crest and trough of your wave.

Answers

Answer:

Please find attached, the required wave drawn with MS Excel

Explanation:

Functions that represent waves is given as follows

A general form of the wave equation is A·sin(B·x) + D

Where;

B = 2·π/T

T = The period of the wave = 1/f

D = The vertical shift of the wave = 0

A = The amplitude of the wave = 1 for sine wave

v = The wave velocity

λ = The wavelength of the wave

f = The frequency of the wave

v = f·λ

At constant v, λ ∝ 1/f  

∴ λ ∝ T

Where T = 3, we have;

B = 2·π/T

∴ B = 2·π/3

Therefore, we have the wave with an amplitude of 1 cm, and wavelength, 3 cm, given as follows

y = sin((2·π/3)·x)

Plotting the above wave with MS Excel, we can get the attached wave

if you rub a ballon with wool or duster it can charge it negatively where do these extre charge come from?​

Answers

Answer:

The electrons come from the free electrons in wool which contains moisture or other forms of additives that creates impurity centers which causes the wool to be electrically conductive

Explanation:

Wool which is mixed with certain substances, conducts electricity in a manner similar to the wool-water system that give rise to centers of impurities where electrical conduction takes place

The ability to conduct electricity is related to the presence of free electrons on a material. Therefore, when a balloon, which is an insulator, is rubbed with wool, some of the mobile electrons on wool, which is also an insulator without the presence of substances that aid its electrical conductivity, are transferred to the balloon, thereby making the balloon to be negatively charged

what is required for force to come into play​

Answers

Answer:

An interaction of one object with another object results in a force between the two objects. Thus, at-least two objects must interact for a force to come into play.

People who get population education are also aware of health issues and environment education justify

Answers

I believe this statement is correct if not I am sorry

A sample of Radon-222 has a half-life of 3.82 days. After 11.46 days, there is 5 grams of Radon-222 remaining. How much Radon-222 was in the original sample?


30 grams

2 grams

15 grams

40 grams

Answers

Answer: 40

Explanation:

The formula for radioactive decay is as follows:

Q = Q0 x (e^-rt), in which Q is the remaining mass after decay, Q0 is the original sample mass, r is the constant of decay, and t is the time given to decay.

We first start by finding the constant of decay which is r = ln2/t(1/2), natural log of 2 divided by the half life. (Note that you can similarly find the half life if given the constant in t(1/2) = ln2/r)

1) ln2/3.82
2) r = 0.181452141

Now that we have all our givens necessary, we can apply into the formula:

1) 5 = Q0 x (e^(-0.181452141x11.46))
2) 5 = Q0 x (e^(-2.079441536))
3) 5 = Q0 x 0.125
4) Q0 = 5/0.125
5) Q0 = 40

Hope this helps, brainliest would be appreciated :)

A force of 15N acts on an area of 60m².What is the pressure? *

Answers

Answer:

0.25p.a

Explanation:

force=15N area=60m²

so pressure =force/area =15N/60m²=0.25p.a

Which does not affect the gravitational potential energy of an object? mass height speed acceleration due to gravity

Answers

Answer:

Speed

Explanation:

The answer is speed. It doesn’t affect potential energy because it’s associated with position. But since kinetic energy is associated with motion speed affects it.

determjne the density of liquid whose relative density is 1.25 given that the density is 1000kgm-3​

Answers

Explanation:

Relative density=density of liquid÷density of water

1.25=x ÷ 1000

x=1.25 × 1000

x=1250kgm^-3

The refractive index of glass is 1.52
and that of air is 1.00. Draw a labelled diagram to show how a light ray bends when it travels from glass to air.

Answers

Explanation:

..upper side is glass ..

Quả bóng 200g chuyển động với v 4m/s đập vào tường rồi bật ra ngược chiều với cùng tốc độ độ biến thiên động lượng của quả bóng là

Answers

bièn shhddkjn usb’s svyevtec tectev ev

The capacity of an RD bottle is 100 cc and its mass is 45 g. Find the mass of the bottle when it is filled with a liquid of density 600 kg/m3.​

Answers

Answer:

The capacity of an RD bottle is 100cc and its mass is 45g. Find the mass of the bottle when it is filled with a liquid of density 600kg/[tex]m^{3}[/tex]

 

EXPLANATION:

100cc=100[tex]cm^{3}[/tex]

density of liquid=600Kg/  =0.6gm/

 so mass of 100cc liquid will be m=d×V=0.6×100=60gm

So mass of bottle filled with liquid will be bottle+liquid=45gm+60gm=105gm  

Answer is 105gm.

Assuming Faraday constant to be 96500c/mol and relative atomic mass of copper 63,calculate the mass of copper liberated by 2A current in 5min.ans 0.196gm ​

Answers

Answer: The mass of copper liberated is 0.196 g.

Explanation:

The oxidation half-reaction of copper follows:

[tex]Cu\rightarrow Cu^{2+}+2e^-[/tex]

Calculating the theoretical mass deposited by using Faraday's law, which is:

[tex]m=\frac{M\times I\times t(s)}{n\times F}[/tex] ......(1)

where,

m = actual mass deposited = ? g

M = molar mass of metal = 63 g/mol

I = average current = 2 A

t = time period in seconds = 5 min = 300 s (Conversion factor: 1 min = 60 sec)

n = number of electrons exchanged = 2

F = Faraday's constant = 96500 C/mol

Putting values in equation 1, we get:

[tex]m=\frac{63 g/mol\times 2A\times 300s}{2\times 96500 C/mol}\\\\m=0.196g[/tex]

Hence, the mass of copper liberated is 0.196 g.

Answers

Answer:

am I the only one seeing blink

A ball that has a mechanical energy of 65 J has 12 J of kinetic energy. The ball has
J of potential energy

Answers

Answer:

The ball has a potential energy of 53 J.

Explanation:

Mechanical energy, E = Kinetic energy + Potential energy

E = K.E + P.E

65 = 12 + P.E

P.E = 65 – 12

P.E = 53 J

Therefore the potential energy of the ball is 53 J

Answer:

53

Explanation:

on e2021

Which type of wires (copper, aluminum, or string) are ferromagnetic metals?

Answers

Answer:

Copper isn't ferromagnetic,

Aluminum isn't ferromagnetic,

String has a ferromagnetic property

So in conclusion:

The answer is strings :)

is there any machine that is 100% efficient? why?why not

Answers

Answer:

No, it's not there.

Explanation:

For a machine to be 100% efficient, it has to be with an output which is equal to its input. But machines have an out put less than an input, hence efficiency below 100%.

What is the electric potential of a 4.5x10^-5 C charge that has an electric potential energy of 0.027 J?

Answers

Answer:

600 volts

Explanation: just do 4.5x10^-5c lol i hope this helps if it dont im so sorry

importance of measurement in our dairy life​

Answers

Answer:

in order to know the length of something

A car is running uniformly with the velocity of 72km/h3, what is its acceleration?




Answers

Answer: a =0

Explanation:

Highlight two factors which shows that heat from the sun does not reach the earth surface by convection

Answers

Answer:

Explanation:

The heat from the Sun gets to the surface of the Earth by radiation and not by convection because:

i. Radiation does not require material medium for its propagation: Since the space between the Sun and Earth is a vacuum ( i.e it is an empty space), then the only method for the heat from to Sun to get to the Earth is by radiation. This method does not require a material medium, while convection is a method that requires material medium for its propagation.

ii. Radiation occurs without heating the intervening medium: During the propagation of the heat from the Sun to the Earth, the space between the two heavenly bodies is not heated up. Some fraction of the heat after hitting the surface of the Earth get reflected back into the Earth's atmosphere. While in convection, the medium would have been heated up in the process.

Un cuerpo tiene una rapidez inicial de 5 m/s y una aceleración de 6 m/s2 . Calcular la rapidez y la distancia recorrida durante los primeros 9 segundos del movimiento. Resolver el ejercicio por medio de tablas y gráficas y luego resolverlo por medio de las fórmulas de movimiento. POR FAVOR AYUDAAAA... ES PARA MAÑANA ;-;

Answers

Encontramos que la distancia recorrida en los primeros 9 segundos es 288 metros.

Los datos dados son:

El cuerpo tiene una rapidez inicial de 5 m/s

El cuerpo tiene una aceleración de 6 m/s^2

Queremos calcular la distancia recorrida durante los primeros 9 segundos de movimiento.

Lamentablemente no contamos con los gráficos ni las tablas, así que se procede a obtener las ecuaciones de movimiento.

La aceleración será:

a(t) =  6m/s^2

Para la ecuación de la velocidad tenemos que integrar la ecuación de arriba, obteniendo:

v(t) = (6m/s^2)*t  + v0

Donde v0 es la rapidez inicial, que conocemos es igual a 5 m/s, así tenemos:

v(t) = (6m/s^2)*t  + 5m/s

Para la ecuación de la posición debemos integrar nuevamente, así obtendremos:

p(t) = (1/2)*(6m/s^2)*t^2  + (5m/s)*t + p0

Donde la p0 es la posición inicial, la cual podemos definir como p0 = 0m

p(t) = (3m/s^2)*t^2  + (5m/s)*t

Para encontrar la distancia recorrida en los primeros 9 segundos, simplemente debemos remplazar t por 9s en la ecuación de posición:

p(9s) =  (3m/s^2)*(9s)^2  + (5m/s)*9s = 288 m

Si querés aprender más sobre ecuaciones de movimiento, podés leer:

https://brainly.com/question/17123407

How does 'g' vary from place to place?​

Answers

Explanation:

The acceleration g varies by about 1/2 of 1 percent with position on Earth's surface, from about 9.78 metres per second per second at the Equator to approximately 9.83 metres per second per second at the poles.

in california the pacific plate slides past the north american plate. If the pcific plate is moving at a speed of 5 centimeters per year, how long will take for the plate to travel 100 meters

Answers

Answer:

6.34×10⁹ seconds

Explanation:

Applying,

V = d/t............. Equation 1

Where V = speed plate, d =  distance covered by the plate, t = time it takes the plate to travel

make t the subject of the equation

t = d/V............ Equation 2

From the question,

Given: d = 5 cm/yr = (5×3.154×10⁻⁹) = 1.577×10⁻⁸ m/s,  d = 100 meter

Substitute these values into equation 2

t = 100/1.577×10⁻⁸

t = 6.34×10⁹ seconds

Hence the time it takes the the plate to travel is 6.34×10⁹ seconds

When n resistance each of value x are connected parallel then resultant resistance x. When these n resistor connected in series. Total resistance

Answers

Answer:

Explanation:

Suppose you have 3 resistors each with a value of 3. If you placed them in parallel, would you get 3

1/3 + 1/3 + 1/3 = 1/r

The denominator doesn't change. So add the numerators.

(1 + 1 + 1)/3 = 3/3 = 1

So the question is faulty.

1 = 1/r

1*r = 1

r = 1/1

r = 1

I NEED HELP ASAP!!!
What is the average speed shown on the graph between point A and point D?

Answers

Answer:

5/3 m/s or

6 km/h

Explanation:

really ? the average speed is just the straight connection in the graph from A to D.

that means the travel time was 40-10 seconds = 30 seconds.

and the distance traveled was 60-10 = 50 meters.

so, the average speed was

50 meters / 30 seconds

to bring this to standard m/s

5 m / 3 s = 5/3 m/s

or to standard km/h

an hour has 60 minutes or 120 30-seconds intervals

50 m/ 30 s × 120/120 = 6000 m / h = 6 km/h

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