A 22 kg body is moving through space in the positive direction of an x axis with a speed of 190 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 13 kg, moves away from the point of explosion with a speed of 130 m/s in the positive y direction. A second part, with a mass of 2.2 kg, moves in the negative x direction with a speed of 460 m/s. What are the (a) x-component and (b) y-component of the velocity of the third part

Answers

Answer 1

Answer:   Our notation is as follows : the mass of the original body is M=20.0kg ; its initial velocity is  

ν

 

0

=(200m/s)  

i

^

 ; the mass of one fragment is m  

1

=10.0kg ; its velocity is  

ν

 

1

=(100m/s)  

j

^

 ; the mass of the second fragment is m  

2

=4.0kg ; its velocity is  

ν

 

2

=(−500m/s)  

i

^

 ; and , the mass of the third fragment is m  

3

=6.00kg . Conservation of linear momentum requires  

          M  

ν

 

0

=m  

1

 

ν

 

1

m  

2

 

ν

 

2

+m  

3

 

ν

 

3

 .  

The energy released in the explosion is equal to ΔK , the change in kinetic energy .  

(a) Using the above momentum -conservation equation leads to  

             

ν

 

3

=  

m  

3

 

M  

ν

 

0

−m  

1

 

ν

 

1

−m  

2

 

ν

 

2

 

 

             =  

6.00kg

(20.0kg)(200m/s)  

i

^

−(10.0kg)(100m/s)  

j

^

−(4.0kg)(−500m/s)  

i

^

 

 

          =(1.00×10  

3

m/s)  

i

^

−(0.167×10  

3

m/s)  

j

^

.  

The magnitude of  

ν

 

3

 is  

                        ν  

3

=  

(1000m/s)  

2

+(−167m/s)  

2

 

=1.01×10  

3

m/s  

It points at θ=tan  

−1

(−167/1000)=−9.48  

 (that is at 9.5  

 measured clockwise from the +x axis) .  

(b) The energy released is ΔK :  

             ΔK=K  

f

−K  

i

=(  

2

1

m  

1

ν  

1

2

+  

2

1

m  

2

ν  

2

2

+  

2

1

m  

3

ν  

3

2

)−  

2

1

Mν  

0

2

=3.23×10  

6

J

Explanation:


Related Questions

Mention the methods of census and explain each of them in brief​

Answers

Answer:

Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).

Census Methods:

Population censuses typically use one of two approaches:

De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.

De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.

Calculate the relative molecular of calcium carbonate

* as following method*

Answers

Answer:

100.22

Explanation:

Have a great day!

A 68 g plastic ball is moving to the left at 17 m/s . How much work must be done on the ball to cause it to move to the right at 17 m/s ?

Answers

Answer:

KE = 19.652 J to the right

Explanation:

KE = J or N*m

KE = (1/2)m*v²

KE = kinetic energy

m = mass(kg)

v = velocity (m/s)

KE = .5*0.068kg*(17m/s)²

KE = 9.826 J to the left

So double it to the right to get 17m/s.

KE = 19.652 J to the right

J = Joules or can be expressed as N*m which is Newton-meters.

how do mechanical waves compare with electromagnetic waves?

Answers

Answer:

Electromagnetic waves are waves that have no medium to travel whereas mechanical waves need a medium for its transmission. Electromagnetic waves travel in a vacuum whereas mechanical waves do not. The mechanical waves need a medium like water, air, or anything for it to travel.

Explanation:

A car approaches you at 50 km/h. A fly inside the car is flying toward the back of the car at 7 km/h. From your point of view by the side of the road, the fly is moving at ______________km/h. Group of answer choices 57

Answers

Answer:

43 km/h

Explanation:

If the car is going past you at 50 km/h, then all the objects inside appear to be going 50 km/h. The fly is flying 7km/h in the opposite direction, and would appear to be going 7 km/h slower. Therefore, as 50 - 7 is 43, the fly would appear to be going 43 km/h. Hope this helps :D

ASAP
A train is travelling at 100 m/s when it receives an alert: “Brake! 600 meters ahead, the rails are broken”. The highest acceleration that the train can produce is 10 m/s^2. If the train slows down with a constant acceleration of 10 m/s^2
How long will it take for the train to stop?
How many meters will it travel before it stops?
Botcookiemaster please don't use a file just give me the answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the given terms ~

Initial velocity (u) = 100 m/s

Acceleration (a) = - 10 m/s²

(Acceleration is negative bbecause train slows down)

Final velocity (v) = 0 m/s

(final velocity is 0, because train stops)

Now, let's find the time taken (t) by using the first equation of motion ~

[tex]v = u + at[/tex]

[tex]0 = 100 + ( - 10 \times t)[/tex]

[tex]0 = 100 - 10t[/tex]

[tex]10t = 100[/tex]

[tex]t = 100 \div 10[/tex]

[tex]t = 10[/tex]

The train will take 10 secs to stop,

Now, let's find how much distance (s) it will cover before it stops using second equation of motion ~

[tex]s = ut + \dfrac{1}{2} at {}^{2} [/tex]

[tex]s = (100 \times 10) + ( \dfrac{1}{ 2} \times - 10 \times 10 \times 10)[/tex]

[tex]s = 1000 + ( - 500)[/tex]

[tex]s = 1000 - 500[/tex]

[tex]500 \: \: m[/tex]

It will cover 500 meters before coming to rest ~

which of these MANNER of death? (select all that apply)
1-blood loss
2-cessation of brain function
3-accidential death
4-stabbing
5-pulmonary arrest
6-homicidal death
7-natural death
8-shooting

Answers

Answer:

3, 4, 6, 7, 8 are manners of death.

When is it safer to drive a heavier car over a lighter car?

a. When you crash into a wall
b. When you crash into a tree
c. When you crash into another car
d. It is never safe in a hevaier car

Answers

Answer:

I think it would be c, crashing into another car

D I believe it’s the awnswer

2. What is the period of 350 waves passing a point in 5 seconds?​

Answers

Answer:

IF SHE BREATHS SHES A T.H.OT

Explanation:

Pls dont hate me its meme k ,_.

URGENT NEED GIVING POINTS question is how do i find R and the angle THANK YOU

Answers

Answer:

Theta = 26.93°

R = 0.38m

Explanation:

Theta = cos^-1(0.74m/0.83m)

Theta = 26.93°

R = sqrt(0.83²-0.74²)

R = 0.38m

Which of the following are for vector directione?
A Outside 45 degrees
G 35 degrees north of east
D 35 degrees inside

Answers

Answer:
C. outside 45 degrees
Step-by-step explanation:
C. outside 45 degrees
because it can be any point or direction outside 45 degrees


Does a moving charge experiences a force in magnetic field? Explain

Answers

In the presence of a magnetic field, a moving charge will always experience a force. F = qvB , If v is zero, then force is also zero. ... While magnetic forces cause charged particles to shift their direction of motion, but do not change the particle's velocity.

CASE CLEANING:The plastic case that houses the PC components can be cleaned with lint-free cloth that has been slightly dampened with water. For stubborn stains, add a little household detergent to the cloth. Use vacuum around each of the holes, vents, and crevices on the computer.On the other hand, cleaning the keyboard needs to disconnect first the computer and peripheral from their power sources. Use a vacuum to remove any dust from the slots and holes on the keyboard.To blow the dust and debris stored in a local office supply use compressed air. Do you agree with the process presented above? MAKE A CLAIM AND WRITE A STATEMENT OR CONCLUSION THAT RESPONDS TO THE ORIGINAL QUESTION OR PROBLEM.​

Answers

Answer:

She took it as priority and got to work

A rock excerts a pressure of 20 N/cm^2 on the ground. what does 20N/cm^2 mean?

A force of __________ acts on each _________ of area​

Answers

Answer:

A force of 20N acts on each cm^2 of area

answer with proper explanation

Answers

Answer:

B

Explanation:

Moment = force * perpendicular distance

Since the beam is balanced(equilibrium), the 2 moments will be equal.

30 * P = 70 * Q

The 2 combinations which achieve this equality is P = 21 and Q = 9

a person walks 9 meters to the right and 8 meters to the left what's the distance and displacement​

Answers

the distance is 17 and the displacement is 1

Answer:

walked: 17 meters

displacement: 1

Explanation:

so you add 9+8 and the displacement is 1 b/c when you moved back those 8 meters you were still 1 meter away from where you where originally standing

Nbel! You’re okay! What happened to you?

Answers

Answer:

Wanna be frie nds?

Explanation:

Im smort big brain

Answer:

hello wanna be fr iends and cha-t?

Explanation:

Name 2 different "limiting Factors" that limit the size of a population in a given ecosystem.

Answers

Answer:    food, water, habitat, and mate.

Explanation:      The common limiting factors in an ecosystem are food, water, habitat, and mate. The availability of these factors will affect the carrying capacity of an environment. As population increases, food demand increases as well

Density of water is-

Answers

Answer:

The density of water is around 997 kg/m³ of 1 gran per millilimeter

- A cylinder of volume 5.0 x 103 cm3 contains air at a pressure of 8.0 x 105 Pa.
A leak develops so that air gradually escapes from the cylinder until the air in the cylinder
is at atmospheric pressure. The pressure of the atmosphere is 1.0 x 105 Pa.
Calculate the volume of the escaped air, now at atmospheric pressure. Assume that the
temperature stays constant.

Answers

Answer:

10

Explanation:

if you put 10 your right

the electromagnetic waves with the highest frequencies are called

Answers

Gamma rays - the most penetrating and ionising

during which lunar phase does every solar eclipse occur?

Answers

Answer:

It has to be the "New Moon" because that is when the moon is between the sun and the earth.

A lunar eclipse can occur when the earth is between the sun and the moon.

Plate movements on Earth’s crust create ______

Answers

Answer: earthquakes and volcanoes

Explanation:

Copper is a type of metal.
A block of copper has a mass of 2.0kg.
The block of copper absorbs 12000J of thermal energy.
The specific heat capacity of copper is 385J /(kg°C).
What is the temperature rise of the copper?
A 15.6°C B 31.2°C C 46.8°C D 62.4°C

Answers

The temperature rise in the copper is. I think its 0.393

The temperature rise in the copper is. I think its 0.393. Copper is a chemical element with the symbol Cu (from Latin: cuprum) and atomic number 29.

What is Capacity of copper?

The chemical element copper (Cu) is a reddish, incredibly ductile metal belonging to Periodic Group 11 (Ib) that has an exceptional ability to conduct heat and electricity.

In nature, copper can be found in its free metallic state. Neolithic (New Stone Age) humans originally utilised this local copper (about 8000 BCE) as a substitute for stone.

Around 4000 BCE, Mesopotamia saw the beginning of metallurgy as copper was cast into molds, reduced to metal from ores with fire and charcoal, and purposefully alloyed with tin to form bronze (c. 3500 BCE).

Therefore, The temperature rise in the copper is. I think its 0.393. Copper is a chemical element with the symbol Cu (from Latin: cuprum) and atomic number 29.

To learn more about copper, refer to the link:

https://brainly.com/question/13677872

#SPJ2

how many gallons of gasoline are consumed in the us daily?

Answers

2020 studies show, about 338 million gallons was consumed daily in the US.

how many tries did it take to invent the lightbulb?

Answers

It took 1,00 attempts

Which type of wave requires a medium?
A. Light wave
B. Electromagnetic wave
C. Sound wave
D. Ultraviolet wave

Answers

The correct answer is option C. Sound wave

A sound wave is an example of a mechanical wave which requires a medium.

Answer:

The closest is “A”, however an ocean wave is not truly a transverse wave. It belongs to the category “gravity wave” (note: NOT gravitational wave as in cosmology) and occur at the interface between two media. In the case of a wave on the ocean surface it is specifically called a “surface gravity wave” . The particles in a surface gravity wave move in an oscillatory circular motion called the wave orbit not in a back and forth motion.

If a piece of glass permits light to pass through, then it is considered ___________. A. Transparent c. Transmitting b. Reflective d. Absorbent Please select the best answer from the choices provided A B C D.

Answers

Answer:

not sure, but I thinks it's either Transparent or Reflective

According to the concept of reflection, if  a piece of glass permits light to pass through, then it is considered to be reflective.

What is reflection?

Reflection of light is defined as a property of light ray that when it strikes a smooth surface it bounces back .Objects can be seen due to this property of light.Reflection is produced by all types of waves namely sound waves, light waves, electromagnetic waves.

Reflection of light is governed by laws of reflection which are also called as Snell's laws. According to laws of reflection, angle of incidence and angle of reflection are equal.The incident ray , reflected ray and normal all lie on the same side of the plane.Light travels in a straight line before, after and during the process of reflection.There are 3 types of reflection which are diffuse reflection,specular reflection and glossy reflection.

Learn more about reflection,here:

https://brainly.com/question/2254222

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is climbing stairs work done​

Answers

Answer:

The work you did in climbing the stairs is the force you applied (your weight) times the distance you moved upward (the height of the stairs.) So yes, climbing stairs is work done.

Explanation:

Hope this helped, nya~ :3

the following statements show contact force, except _____
a. closing your room's door
b. pushing your desk
c. shooting a ball on the floor using a rope
d. pulling a 10kg box on the floor using a rope​

Answers

Answer:

d. pulling a 10kg box on the floor using a rope

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