An 8 kilogram cannonball is loaded into a 1000 kilogram stationary cannon. When fired horizontally the velocity of the cannonball is 300 meters per second east. Determine the cannon's recoil velocity.

Answers

Answer 1

Answer:

The  recoil velocity of the cannon is 2.38 m/s.

Explanation:

Given;

mass of cannonball, m₁ = 8 kg

mass of stationary cannon, m₂ = 1000 kg

initial velocity of the cannonball, u₁ = 300 m/s

initial velocity of the cannon, u₂ = 0

Let the recoil velocity of the cannon, = v

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

8(300) + 1000(0) = v(8 + 1000)

2400 = v(1008)

v = 2400/1008

v = 2.38 m/s

Therefore, the  recoil velocity of the cannon is 2.38 m/s.


Related Questions

A CIRCULAR COIL OF 20 TURNS OF RADIUS 10.0 cm IS PERPENDICULAR TO A 0.30 tesla MAGNETIC FIELD. HOW MUCH INDUCED emf IS CREATED WHEN THE COIL IS ROTATED IN 0.12 s, SO ITS FACE IS PARALLEL TO THE FIELD?

Answers

Answer:

1.57 V

Explanation:

The induced emf ε = -ΔΦ/Δt where Φ = magnetic flux = NABcosθ where N = number of turns of circular coil = 20, A = area of coil = πr² where r = radius of coil = 10.0 cm = 0.1 m , B = strength  of magnetic field = 0.30 T,θ = angle between normal to are and magnetic field and Δt = change in time = 0.12 s

Now ΔΦ = change in magnetic flux through circular coil = Φ' - Φ

Φ = magnetic field when A is perpendicular to B , that is θ = 90°. So, Φ = NABcos90 = 0 and Φ' = magnetic field when A is parallel to B , that is θ = 0°. So, Φ' = NABcos0 = NAB

So, ΔФ = Ф' - Ф

= 0 - NAB

= -NAB

= -Nπr²B

= -20 × π(0.1 m)² × 0.30 T

= -0.19 Wb

So, ε = -ΔΦ/Δt

= -(-0.19 Wb)/0.12 s

= 1.57 Wb/s

= 1.57 V

The induced EMF in the coil is 1.57 V

Induced EMF:

The induced EMF is produced due to the changing magnetic flux through a coil. Mathematically EMF is the rate of change of flux.

E = -ΔФ/Δt

where ΔФ is the change in the magnetic flux, and

Δt is the time period

Initial magnetic flux through the coil is:

Ф = NABcosθ ,

N = 20, number of turns

A = area of the coil = πr² = 3.14 × (0.1)² = 0.0314 m²

B = 0.30 T, magnetic field

here θ = 90°

so , Ф = 0

Final magnetic flux through the coil is:

Ф' = NABcosθ, here θ = 0°, so

Ф' = 20 × 0.0314 × 0.30 × 1

Ф' = 0.1884 Wb

ΔФ = Ф - Ф'

ΔФ = -0.1884 Wb

given that Δt = 0.12s

E = -ΔФ/Δt

E = 0.1884 / 0.12

E = 1.57 V

Learn more about induced EMF:

https://brainly.com/question/4721624?referrer=searchResults

A 50.0 kg child is riding in a 120.0 kg bumper car at an amusement park. The child drives the bumper car at 4.5 m/s head-on into the wall of the ride and rebounds at the speed. What is the magnitude of the change in momentum of the child in the bumper car?

Answers

Answer:

Explanation:

Total mass of child and car = 50 + 120 = 170 kg .

initial velocity u = 4.5 m/s

initial momentum = mass x velocity = 170 x 4.5 = 765 kg m/s

final velocity = - 4.5 m/s [ - ve is due to reversal of direction ]

final momentum = - 765 kg m/s

change in momentum = final momentum - initial momentum

= - 765 - ( 765 )

= - 1530 kg m/s .

Momentum of a body is the product of mass and the velocity of the body.

The magnitude of the change in the momentum of the child in the bumper car is 1530 kg-m/s.

What is change in momentum?

The change in momentum of a object is the difference of the final momentum to the initial momentum.

Given information-

The mass of the child is 50 kg.

The mass of the bumper car is 120 kg.

The initial velocity of the bumper car is 4.5 m/s.

Momentum of a body is the product of mass and the velocity of the body. The initial momentum of the child in the bumper car is,

[tex]p_i=(m_c+m_b)u[/tex]

Here, [tex]m_c[/tex] is the mass of child and [tex]m_b[/tex] is the mass of the bumper car. Also [tex]u[/tex] is the initial velocity,

[tex]p_i=(50+120)\times4.5\\p_i=765[/tex]

Thus the initial momentum of the child in the bumper car is 765 kg-m/s.

When the bumper car head-on into the wall of the ride then it rebounds at the speed. Thus the final momentum will be opposite in the direction. Thus final momentum is,

[tex]p_f=-p_i\\p_f=-765[/tex]

As the change in momentum of bumper car is the difference of the its final momentum to the initial momentum. thus,

[tex]\Delta p=pf-pi\\\Delta p=-765-765\\\Delta p=-1530[/tex]

Hence the magnitude of the change in the momentum of the child in the bumper car is 1530 kg-m/s.

Learn more about the change in momentum here

https://brainly.com/question/7538238

Abdul works at the planetarium where he is responsible for creating a show on stars. His show is entitled "A Star is Bom," and it will explain the
forces that create a star.
Abdul is creating a timeline of a star's life including its beginning, middle, and end. Abdul found a picture to include of the region around a star
before its formation begins. What does it look like?

Answers

Answer:

dust cloud

Explanation:

Stars are formed from the accumulation of the dust as well gases in the solar system. The dust and the gases collapses due to the the gravity forces and the stars are formed.

They are formed within the clouds of the dust and gases and are scattered in the galaxies. The stars are formed in a million of years from the dust clouds.

In the context, Abdul have a picture of a dust cloud which looks smoky and dusty which is the initial stage of the stars formation due to the gravity.  It is the region of the star that looks like a cloud of dust before the formation of the star.

what do you think explains the pattern of planet density in the solar system

Answers

Answer:

If density is greater, the object sinks. Saturn is mainly composed of the lightest two gases known, hydrogen and helium. It is the only planet in our solar system whose density is less than water

Explanation:

Planet density are uneven they all have different density.

What is density?

Mass per unit of volume is referred to as density. Although the Latin letter D can also be used, the sign most frequently used for density is. Mass divided by volume is how density is mathematically defined:

If density is greater, the object sinks. Saturn is mainly composed of the lightest two gases known, hydrogen and helium. It is the only planet in our solar system whose density is less than water

Planet density are uneven they all have different density.

To learn more about density refer to the link:

brainly.com/question/15164682

 #SPJ2

What is the easiest way to add energy to matter? Heating it Cooling it Decreasing pressure Decreasing temperature

Answers

Answer:heating it

Explanation:

Answer:

Heating it

Explanation:

i took the k12 test and got a A

In order for us to see the red apple, where do the wavelengths of light have to go?

Answers

Answer:

Explanation:650

colour* wavelength (nm) energy (eV)

red 650 1.91

orange 600 2.06

yellow 580 2.14

green 550 2.25

Answer:

A red apple appears red because when white light illuminates the red apple all of the colors in

the white light are absorbed except the red light which is reflected. Since blue light one of the primary colors (and does not contain red light), when it illuminates a red apple the apple would appear black since there is no red light to be reflected back.

Explanation:

What is it called when a sound wave transfers its energy to a new medium?
a. Reflection
b. Transmission
c. Echo
d. Absorption

Answers

Answer:

c. eco

ya que hay trasmisión de energía de un lado al hacer ecos

Need help ASAP please and thank you

Answers

It’s going up by 10 so multiple of 10

Answer:

253

Explanation:

He stands at 50 so you keep counting by 50 until you get it to add three.

the angle between incident ray and reflected ray is 130.what is the value of angle of incidence​

Answers

Answer:

65

Explanation:

as i = r , so i + i = 130

so , i = 130/2 =65

Answer:

please find attached file

Explanation:

What two factors affect the strength of a magnetic field

Answers

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core.

Explanation:

I HOPE I HELPED :)

11) mWhich of the following sets of three units are all metric measurements
of length?*
A) inch, foot, yard
B) kilometer, centimeter, millimeter
C) kilogram, gram, centigram
D) kilometer, foot, decimeter

Answers

Answer:

Answer is B.

Explanation:

I hope it's helpful!

What is the equation for impulse?

Answers

Answer:
Hope this is what you were looking for :)

a mother and a daughter are sitting on park swings. they ask you to push them so they can swing to the same height. which will require you to push with more force?

Answers

Answer:

the mother

Explanation:

the child is smaller and has less mass so it would be easier to push the baby rather than the mother. so you would put more force into pushing the mother

PLS AWSNER FAST AND CORRECT I WILL GIVE BRAINLEST



On this document, explain to me using your OWN WORDS how a baby’s carseat turned backwards (also called rear-facing carseat) is safer for babies in the event of a sudden stop in a vehicle. You must include the words force and inertia in your explanation. If you don’t know right away, try doing some research (watch some videos, read about infant carseat safety, etc.). This should show me that you understand how Newton’s 1st Law: Inertia works in a very real-life situation

Answers

Answer:

When a car stops suddenly, the inertia the keeps you moving forward will finally stop and give you whiplash, which could seriously injure or even kill a baby. With the seat turned back, the force will be decreased dramatically, and prevent any fatal harm.

Which is a unit of length in the International System of units?
A inch
B. foot
C. millimeter
D. mile

Answers

Answer:

Source: National Bureau of Standards Wall Chart. 1 inch, = 25 millimetres. 1 foot, = 0.3 metre. 1 yard, = 0.9 metre. 1 mile ...

Explanation:Source: National Bureau of Standards Wall Chart. 1 inch, = 25 millimetres. 1 foot, = 0.3 metre. 1 yard, = 0.9 metre. 1 mile ...

help me plssssss will give brainliest if correct

Answers

Answer:

electricity is the answer

So I think its Thermal--->Mechanical---->Electrical--->Light

Thermal from the Burner, Mechanical energy from the steam turns the wheel, Electrical energy through the wires and then light comes from the bulb.

Hope this helps :)

Which type of energy transfer is responsible for the movement of magma in Earth's interior? A)conduction B)convection C)radiation D)melting

Answers

Answer:

B. Convection.

Explanation:

Convection is an energy transfer process which typically involves the transfer of heat as a result of the movement of mass. Convection is generally considered to be a more effective and efficient means of heat transport in the Earth when compared to conduction. The movement of tectonic plates is caused by the convection current because the heat gains pressure underneath the crust.

Hence, the type of energy transfer which is responsible for the movement of magma in Earth's interior is convection.

Additionally, subduction zone is a zone which represents the collision between the two (2) tectonic plates of planet earth. Subduction zone occurs in countries such as Japan, Canada, Indonesia, Russia, Alaska, and around the Pacific Ocean.

Generally, subduction zones are responsible for high intensity earthquakes, volcanoes and tsunamis around the world.

“For every action, there is an equal and opposite reaction”

which of Newton’s laws of motion is defined?

Im horrible at memorizing the laws, help :(

Answers

It’s The third law :)

Sometimes you wish you could go back in time and fix your mistakes but you can’t you can say sorry but it’s never enough what more do they want what is a true friend it’s someone who pulls you away when something isn’t right someone who cares about you and will go out of there way to help you but I guess that dosent mattter bc apparently I’m a fake friend goodbye forever

Answers

Answer:

very true

Explanation:

u ok?

(their* not there)

But- WHOAH- You don't need to say "Goodbye forever" you could find new friends who love and support you. People say things, they do things, but they're still human, just like you are. Mistakes will be made. You just gotta fight the bad and look for a brighter future. Not everyone or everything is gonna be sunshine and rainbows. It's gonna be bumpy and rough, you just gotta work out the kinks of it and move on.

Athlete mesert defar runs at 10m/s. how long will it take her to go 1 minute ​

Answers

Answer:

600 metres

Explanation:

1 minute = 60 seconds

1 second = 10 metres

60 seconds = 60 x 10 = 600

Athlete Mesert Defar runs 600 m in 1 minute. The speed of an object is equal to the distance traveled divided by time elapsed.

What is the relationship between Speed and Distance?

The speed of an object is equal to the distance traveled divided by time elapsed.

[tex]s = \dfrac dt \rm \ \ \ or[/tex]

[tex]d = s \times t[/tex]

Where,

[tex]d[/tex] - distance

[tex]t[/tex] - times = 1 minute = 60 sec

[tex]s[/tex]  - speed = 10 m /s

Put the values in the formula,

[tex]d = 10 \times 60 \\\\ d = 600 \rm \ m[/tex]

Therefore, Athlete Mesert Defar runs 600 m in 1 minute.

Learn more about Speed and Distance:

https://brainly.com/question/11528837

Pand S waves are both
waves.
1.longitudinal

2.surface
3.body
4.none of the above

Answers

Answer:

3.body

Explanation:

Both P and S waves are both body waves. Body waves are waves that travels through the earth.

P and S waves are elastic seismic waves that moves within the earth. Love and Rayleigh waves are surface waves that travels through the surface.

P waves is also known as primary waves S waves are known secondary waves.

These waves are the first set of waves to arrive a seismic station before the surface waves are picked up.

Can someone help me answer this??

Answers

Answer:

3,2 oky na dekh Lena ek bar2,5

Which projectiles will be visibly affected by air resistance when they fall?
balloon
leaf
brick
rock

Answers

Answer:

Balloon, leaf

Explanation:

Objects that are light and have a relatively large surface that Is affected by the friction with air.

Answer:

Leaf and Baloon

Explanation:

what forces are acting on a still object

Answers

Gravity and the normal

if a runner is going 600 miles in 6 minutes what is his speed?
What if he is still going 600 miles in 7 minutes?

Answers

I wish i could help but could you check out my questions about the cannon ball? i’m in desperate need

Which chemical reaction is the fastest?
A. Bread turns brown in the toaster.
B. Yogurt grows mold in the refrigerator.
C. Apple juice turns into vinegar.
D. Potatoes change flavor as they are boiled.

Answers

Answer:

Bread turns brown in the toaster.

plz mark brainliest!! plzzz

A.) bread turns brown in the toaster

If a car has traveled 24 km in 2 hours, what is its average speed?

Answers

Answer:

12km per hour

Explanation:

The formula is distance/time.

24km/2 hours = 12km/1 hour

Explanation:

average speed = distance / time

= 24km/ 2 hr

= 12 km/ hr

Hope this will be helpful to you .

a uniform beam 6.0 metre long and weighing 4kg rests on support at p and q placed left and right 1.0 metres from each end of the beam weights of mass 10 kg and 8kg are placed near p and q respectively one each end of the beam.calculate the reaction at p and q?

Answers

Answer:

Explanation:

I need the answer me too

Answer:

p and q are 4.0 m apart

moments around q

4 p = (10 * 5) + (4 * 2) - (8 * 1)

p = 12.5

Rp = 12.5 g

moments around p

4 q = (8 * 5) * (4 * 2) - (10 * 1)

q = 9.5

Rq = 9.5 g

plz mark me as brainly

Explanation:

What is the average speed between 5 seconds and 15 seconds?

Answers

Answer:

10 seconds

Explanation:

We can calculate the average speed by finding the total distance traveled divided by the elapsed time: Average speed=–s=Total distance Elapsed time

BRAINLIEST WILL BE GIVEN!!!!! After communicating the information you requested above, he pushes the sled a total distance of 50 m and exerts a horizontal force of 800 N. During the sled push he pushes the sled 25 m, turns around and pushes it 25 m back to where he started. He argues that the work done is 40000 J, but you say the total work is actually 0 J. Why are you correct and he is wrong?

Answers

Answer:

W=F*D

40,000=800*50

With this you are wrong and he is right because work is not like displacement where if you go 10 ft to the right then 10 ft to the left you have traveled gone 0 ft from original spot. because your distance was 50 m and you exerted 800 N you multiply that together and come out with 40,000 so HE IS RIGHT YOU ARE WRONG.

PLZ mark as brainliest

Other Questions
PLEASE HELP!!! choose the spanish subject pronoun that would replace the given subject In this type of democracy, the leader works independently of the legislatureA)presidential democracyB)parliamentary democracyautocracyprime minister The value, in dollars, of a particular painting can be calculated using the equation y - 15x + 250, where x represents years. What is themeaning of the y-intercept of the equation?A. The value of the painting increases $15 each year.B. The value of the painting increases $250 each year.C. The initial value of the painting is $250.D. The total value of the painting is $265.PLEAAE HELP IM CONFUSED AND NEED A GOOD GRADE eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine Easy points if you are good at math (It kept turning the photo a weird way after I take the photo so I apologize for that) What is a home base music note look like Work out(1104)+(2102)Give your answer in standard form.any awnser would be apriciated I need help with 11 and 12 pls due soon!! Identify the career that matches the description. Irina handles money in a casino. Stanley operates a ride at a theme park. Michelle helps people exercise at a gym. Jamie plays baseball on a nationally known team. Nguyen teaches art classes. is -23 degrees F. How many degrees below 0 is this? MHA SHIPS ON MY LIST:Deku x Uraraka (A lot of you gonna hate me for this but can't you see-)Momo x Todoroki (My friend told me to put this)Mina x Kirishma (Ship!!) Denki and Jirou ( This was told to me but I still ship!!)Bakugo x Camie (...............)TELL ME MORE SHIPS COME ON. Please help!! Giving brainliest and extra points!! (Click on photo) The coordinates of the vertices are (0,0) (5,4) and (7,0). The trapezoid is dilated with scale factor 2 and center (0,0). What are the coordinates of the vertices of the image of the trapezoid?A.(0,0) (2,4) (5,4) (7,0)b. (0,0) (6,12) )(15,12) (21,0)c.(0,0) (4,8) (10,8) (14,0) What are the central ideas of "How Archaeologists Found the Lost City of Troy"?Select the two correct answers.Schliemann found nine Troys buried on top of each other.Troy's location made it commercially advantageous.Archaeologists accept Homer's account as historical fact.Archaeologists know that Troy fell due to a single action. Cuantas veces se deben consumir refrigerios al da y cules son los grupos que lo constituyen? Solve each of the following system of equations by substitution!!!x-5y=-49y=-2x+1 GIVING BRAINLIEST PLS PLS PLS HELPWhich of the following lines by Juliet foreshadows the end of the play? (5 points)JULIETTell me not, friar, that thou hear'st of this,Unless thou tell me how I may prevent it:If, in thy wisdom, thou canst give no help,Do thou but call my resolution wise,And with this knife I'll help it presently.God join'd my heart and Romeo's, thou our hands;And ere this hand, by thee to Romeo seal'd,Shall be the label to another deed,Or my true heart with treacherous revoltTurn to another, this shall slay them both:Therefore, out of thy long-experienced time,Give me some present counsel, or, behold,'Twixt my extremes and me this bloody knifeShall play the umpire, arbitrating thatWhich the commission of thy years and artCould to no issue of true honour bring.Be not so long to speak; I long to die,If what thou speak'st speak not of remedy.Select one:a. Tell me not, friar, that thou hear'st of this,b. Be not so long to speak; I long to die,c. Unless thou tell me how I may prevent it:d. Do thou but call my resolution wise, Which word correctly completes this sentence?Ces t-shirts sont chers, mais ___ sont bon march.A. ces-lB. celles-ciC. celui-lD. ceux-l NThe text calls Barbara C. Jordan a "leading presence in Democratic Partypolitics." Give two examples that prove Jordan was an important member ofher political party. Dont answer if you dont know. If you can, please answer all. I will mark brainliest