A arrow of mass 0.20 kg is shot at 32.2 m/s. It hits an apple (m = 0.77 kg), and goes through the apple, leaving with a velocity of 18.3 m/s.

What is the velocity of the apple after the arrow leaves it?

answer in m/s

Answers

Answer 1

Answer:

The apple travels at 3.6 m/s

Explanation:

The Law Of Conservation Of Linear Momentum

The total momentum of a system of bodies is conserved unless an external force is applied to it.

The formula for the momentum of a body with mass m and speed v is:

P = mv

If we have a system of two bodies the total momentum is the sum of the individual momentums:

[tex]P=m_1v_1+m_2v_2[/tex]

If a collision occurs and the velocities change to v', the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2[/tex]

Since the total momentum is conserved, then:

P = P'

Or, equivalently:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

Solving for v2':

[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]

The arrow has a mass of m1=0.2 kg and travels at v1=32.2 m/s. It hits an apple (assumed stationary at v2=0) of mass m2=0.77 kg and continues through the apple with a speed of v1'=18.3 m/s. We'll calculate the speed of the apple after the hit.

[tex]\displaystyle v'_2=\frac{0.2*32.2+0.7*0-0.2*18.3}{0.77}[/tex]

[tex]\displaystyle v'_2=\frac{2.78}{0.77}[/tex]

[tex]v'_2=3.6 \ m/s[/tex]

The apple travels at 3.6 m/s


Related Questions

Just 4 questions, I’ll give brainiest and pts the questions are in the photo

Answers

Answer:

1. Divide the weight by speed of the people pushing it to get net force

2. Whether one side of the object is pushing harder or not you will get ur answer, for example if the left side is pushing 3 newtons to the right and the right side pushing 5 newtons to the left, the net force would be 2 newtons of force pushing left and if its an even amount of force then it will be 0

3. If one side of an object pushes harder than the other side, then the object will move in favor of the one who is pushing harder.

4. 200 newtons or 200N

Explanation:

in which medium does the speed of air is the greatest? explain why?​

Answers

Answer:
Sound travels fastest through solids. This is because molecules in a solid medium are much closer together than those in a liquid or gas, allowing sound waves to travel more quickly through it.

The speed of air greatest in a medium with high pressure. Air is moving from high pressure to low pressure areas called the winds.

What are winds?

The natural movement of air or other gases in relation to a planet's surface is referred to as wind. There are many different sizes of winds, ranging from thunderstorm flows that last only a few minutes to local breezes.

Large-scale atmospheric circulation is primarily brought on by the planet's rotation and the difference in temperature between the equator and the poles (Coriolis effect).

The air can move through a medium as well through vacuum. Air blows with the highest speed when the medium have higher temperature and pressure.

Find more on winds:

brainly.com/question/616790

#SPJ6

A wrench is accidentally dropped from the top of a mast on a sailboat. Will the wrench hit at the same place on the deck whether the sailboat is at rest of moving with a constant velocity

Answers

Answer:

Yes, because the wrench is moving at the same speed as the sailboat.

The main difference is that a person on the ground would see the wrench moving diagonally, while a person on the boat would see the wrench falling straight down,

This difference in paths lead to the relativistic change in lengths.

According to the cell theory, which statement is correct? A) Viruses are true cells. B) Cells are basically unlike in structure. C) Mitochondria are found only in plant cells. D) Cells come from preexisting cells.

Answers

Answer:

D) Cells come from preexisting cells.

Explanation:

The universal i.e widely accepted cell theory was proposed in 1800's by the contribution of three scientists namely Theodor Schwann, Matthias Schleiden, and Rudolf Virchow. They came together and proposed three main components that make up the cell theory today. The components are:

- All living things are composed of one or more cells.

- Cell is the basic and fundamental unit of life

- All cells come from preexisting cells.

Based on these three components of the cell theory, the statement that: "Cells come from preexisting cells" in the options is correct.

100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. How much farther does the car go after the driver begins to brake, assuming constant acceleration?

Answers

Answer:

30 m

Explanation:

Let's list out the known variables that we are given in this question.

v₀ = 15 m/sv = 0 m/s t = 4 s

We are trying to solve for displacement in the x-direction.

Δx = ?

Find which constant acceleration equation contains all 4 of these variables.

[tex]\displaystyle \triangle x = \Big (\frac{v+v_0}{2} \Big ) t[/tex]

Plug the known values into the equation and solve for delta x.

[tex]\displaystyle \triangle x = \Big (\frac{0+15}{2} \Big ) \cdot 4[/tex] [tex]\displaystyle \triangle x = \Big (\frac{15}{2} \Big ) \cdot 4[/tex]   [tex]\displaystyle \triangle x =\frac{60}{2}[/tex] [tex]\triangle x = 30[/tex]

The car goes 30 m after the driver begins to brake.

Answer:

the answer should be 30 m

Explanation:

have a good day

An 190,000 W engine can accelerate from rest to a top speed in 9 s.
How much work did the engine do?

Answers

We have that the work the engine did is

w=1710000J

From the Question we are told that

Power  P=190,000 W

T= 9 s

Generally the equation for the work   is mathematically given as

[tex]w=pt\\\\w=190,000*9s\\\\w=1710000J[/tex]

For more information on this visit

https://brainly.com/question/21231013?referrer=searchResults

A 60 kg swimmer suddenly dives from a 150 kg raft with a speed of 1.5 m/s. The raft is initially at
rest. What is the speed of the raft immediately after the diver jumps if the water has negligible
effect on the raft?

Answers

Answer:

v2 = 0.6 m/s in opposite direction

Explanation:

The computation of the speed of the raft is as follows

The center of system mass would be remains at the same place also it has no external force applied

Therefore

V = 0

So,  

M1.V1= - (M2.V2)

where,

M1 = 60 kg, V1 = 1.5 m/s

M2 = 150 kg

Now  

60 × 1.5 = - 150 × v2

v2 = -0.6 m/s

v2 = 0.6 m/s in opposite direction

A Stone thrown from the top of a building is given an initial velocity Of 20.0 metre per second straight upward determine the time in second at which the stone reaches its maximum height. ( Take sec2 g=9.8m/s)
A) 2.8
B) 2.04
C) 1.67
D) 2.7​

Answers

Answer:B) 2.04

Explanation:

Given that,

Initial velocity of the stone (u) = 20.0 m/s

Acceleration due to gravity (g)= -9.8 m/s² [upward motion]

Final velocity of the stone [tex]\sf{(v_{max})=0\:m/s}[/tex]

We know that,

[tex]{\boxed{\sf{v=u+gt}}}[/tex]

[ Put values ]

[tex]\begin{gathered} \implies \sf \: {0} \: = {20} + ( - 9.8) \times t \\ \\ \implies \sf \: 0 = 20 - 9.8t \\ \\ \implies \sf \: 9.8t = 20 \\ \\ \implies \sf \: t = \dfrac{20}{9.8} \\ \\ \implies \sf \: t = 2.04\end{gathered}[/tex]

Therefore, the time at which the stone reaches its maximum height will be 2.04 s.

what do you think president biden should say in his inaugural speech to unify the country’s

Answers

Answer:

If you haven't heard, Joe Biden would like to unite America.

It was a focus of the Democrat's campaign. It's even the theme of Biden's inauguration — "America United."

The inaugural committee says the slogan "reflects the beginning of a new national journey that restores the soul of America, brings the country together, and creates a path to a brighter future."

If only it were that easy.

When Biden is sworn in at 12:01 p.m. ET Wednesday as the 46th president of the United States, it will be with the understanding that the country is as divided as it's ever been, as pessimistic as it's been in three decades and facing health, economic and racial crises.

It will also be a very different inauguration than has ever been seen in U.S. history. Four years ago, President Trump was arguing over his crowd size compared with Barack Obama's record-setting turnout of supporters on the National Mall.

Explanation:

btw i would rather have him as president

A force of 90N is applied to each cart below, which one will accelerate the fastest?

Mass: 5 kg
Mass: 6 kg
mass: 8 kg
Mass: 9 kg

Answers

Answer:

5kg

Explanation:

The cart with the least amount of mass will result in the fastest acceleration.

The cart with the fastest acceleration is 5 kg cart because its mass is the smallest.

The given parameters;

applied force, F = 90 Nmass of cart: 5kg, 6kg, 8 kg, 9 kg

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

The acceleration of the 5 kg cart is calculated as follows;

[tex]a = \frac{F}{m} \\\\a = \frac{90}{5} = 18 \ m/s^2[/tex]

The acceleration of the 6 kg cart is calculated as follows;

[tex]a = \frac{F}{m} \\\\a = \frac{90}{6} = 15 \ m/s^2[/tex]

The acceleration of the 8 kg cart is calculated as follows;

[tex]a = \frac{F}{m} \\\\a = \frac{90}{8} = 11.25 \ m/s^2[/tex]

The acceleration of the 9 kg cart is calculated as follows;

[tex]a = \frac{F}{m} \\\\a = \frac{90}{9} = 10 \ m/s^2[/tex]

Thus, the cart with the fastest acceleration is 5 kg cart because its mass is the smallest.

Learn more here:https://brainly.com/question/11657305

can some one explain me big bang theory ?​

Answers

Answer:

The Big Bang Theory is the leading explanation about how the universe began. At its simplest, it says the universe as we know it started with a small singularity, then inflated over the next 13.8 billion years to the cosmos that we know today.

The propeller of an aircraft is spinning at 10 rev/s when the pilot shuts off the engine. The propeller reduces its angular velocity at a constant 2.0rad/s2 for a time period of 40 s. What is the rotation rate of the propeller in 40 s

Answers

One revolution of the propeller corresponds to a rotation of 2π radians, so that the propeller has an initial angular velocity of

10 rev/s = (10 rev/s) • (2π rad/rev) = 20π rad/s

The propeller thus has an angular velocity ω at time t of

ω = 20π rad/s - (2.0 rad/s²) t

so that at t = 40 s, its angular speed is reduced to

20π rad/s - (2.0 rad/s²) (40 s) = (20π - 80) rad/s

Convert this to a rotation rate by dividing this result by 2π :

(20π - 80) rad/s = ((20π - 80) rad/s) • (1/(2π) rev/rad) ≈ -2.73 rev/s

which would suggest that the propeller has started to turn in the opposite direction at a rate of 2.73 rev/s.

An object with mass 'm' is moving in a circle of radius 'R' at a constant speed of 'v.' The acceleration of the object will INCREASE if _____. List all that apply ... .

Answers

Answer:

Explanation:

The acceleration of an object is given by the formula

a = v²/r

The acceleration of the object is bound to increase, if and only if the following are changed as well.

The mass of the object is increased,

The speed of the object is increased,

The radius of the object is contrarily decreased

Taking another look at the formula, we see that if we increase the speed of the object, it increases the acceleration. And since the radius is in the denominator, it has to be reduced for the acceleration to increase

A force of 100.0N accelerates a 5.0 kg box at 15.0 m/s^2 along a level surface. Find the coefficient of sliding friction for the box. After that, how far will the box have gone after 5.0 seconds of pulling it?

Answers

By balancing the force, we get :

100 - Frictional Force = ma

100 - μmg = ma

100 - μ(5)(10) = (5)(15)

50μ = 25

μ = 0.5  

Distance travelled by box in 5 seconds is :

[tex]d = ut + \dfrac{at^2}{2}\\\\d = 0 + \dfrac{15\times 5^2}{2}\\\\d = 187.5\ m[/tex]

Hence, this is the required solution.

Which item rotates in a magnetic field as an electric motor produces kinetic energy.

A. Lightbulb

B. Loop of wire

C. Battery

D. Permanent magnet

Answers

The answer is a I think sorry if it is wrong!

Answer:

Loop of Wire

Explanation:

A 75-kg man is riding in a 30-kg cart at 2.0 m/s. He jumps off in such a way as to land on the ground with no horizontal velocity. The resulting change in speed of the cart is:

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

M and m be mass of man and boat . V and v be velocity of man and boat .

MV = mv

75 V = 30 v

2 .0 m/s is relative velocity of man wrt boat .

Given v + V = 2

V = 2 - v

75 ( 2 - v )  = 30 v

150 - 75 v = 30 v

150 = 105 v

v = 1.43 m /s

Jennifer and katie stand and lean on each other. Jennifer weighs 150 pounds and katie weighs 120 pounds.

Answers

Answer:

Jennifer

Explanation:

she has more mass which means she is using more force

A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 334 m/s. What is the length of this pipe

Answers

Answer:

Length of pipe 0.5m

Explanation:

Step one

Given data

fundamental frequency of 320 Hz

n=1

Velocity v=334m/s

Note: the subsequent frequency of sound are a multiple of it fundamental frequency

Step two

Applying the formula we have

Fn=nv/2l

Substitute

320=1*334/2L

Cross multiply

320*2L=334

640L=334

Divide both sides by 640

L=334/640

L=0.5m

Using the rules for significant figures, what do you get when you multiply 67.6 by 1.2?

Answers

Answer:

81

Explanation:

The problem here is to use the rules for significant figures in the multiplication below.

       67.6 x 1.2:

 This product will yield an answer that will produce the least number of significant figures.

   67.6 has 3 significant figures; 6, 7 and 6

    1.2 has 2 significant figures; 1 and 2

The product must give us an answer of two significant figures:

        67.6 x 1.2  = 81.12 to 2significant figures gives 81

The solution to this problem is 81

What are the magnitude and direction of electric field at the center of square?

Answers

Answer:

hello the diagram related to this question is missing attached below is the missing diagram

Answer :

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

Explanation:

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

The only planet in the solar system with the temperature that can support life is

Answers

Answer:

earth

Explanation:

its the only planet.

Will give brainliest!! Pls answer! HELP ME!!!!!!

Answers

Answer:

See the explanation.

Explanation:

Q9. Irregular reflection happens when a set of parallel beams are reflected from non-smooth surface which results in non-parallel reflected beams.

Q10.

i) Periscope

ii) There are different types of periscopes but the main characteristic of this instrument is observation over the obstacles or in general objects that are not in the line-of-sight. Basic Periscope uses parallel angled mirrors to project objects that are above the surface in submarines.

a chuck wagon with an initial velocity of 4 m/s and a mass of 35 kg gets a push with 350 joules of force. what is the wagon's final velocity?

Answers

Answer:

the final velocity of the wagon is 6 m/s.

Explanation:

Given;

initial velocity of the wagon, u = 4 m/s

mass of the wagon, m = 35 kg

energy applied to the wagon, E = 350 J

The final velocity of the wagon is calculated as;

E = ¹/₂m(v² - u²)

[tex]m(v^2-u^2) = 2E\\\\v^2-u^2 = \frac{2E}{m} \\\\v^2 = \frac{2E}{m} + u^2\\\\v = \sqrt{\frac{2E}{m} + u^2} \\\\v = \sqrt{\frac{2(350)}{35} + (4)^2}\\\\v = 6 \ m/s[/tex]

Therefore, the final velocity of the wagon is 6 m/s.

The wagon's final velocity will be "6 m/s".

Given:

Wagon's initial velocity,

u = 4 m/s

Mass,

m = 35 kg

Applied energy,

E = 350 J

We know,

→ [tex]E = \frac{1}{2} m(v^2-u^2)[/tex]

→ [tex]m(v^2-u^2) = 2E[/tex]

or,

→      [tex]v^2-u^2 = \frac{2E}{m}[/tex]

→               [tex]v= \sqrt{\frac{2E}{m} +u^2}[/tex]

By substituting the values,

                    [tex]= \sqrt{\frac{2(350)}{35}+(4)^2 }[/tex]

                    [tex]= 6 m/s[/tex]

Thus the answer above is correct.  

Learn more about mass here:

https://brainly.com/question/22256985

What effect does noise have on different types of signals?
A. It distorts digital signals, making them unreliable.
B. It distorts analog signals, making them unreliable.
C. Noise has no effect on either analog or digital signals.
D. Noise prevents the transmission of both analog and digital
signals.

Answers

Answer: it is actually B. :)

Explanation:

Noise can distort analog signals making them unreliable.

What is noise?The random or unwanted signal that mixes up with the original signal is called noise. Noise is an unwanted signal that interferes with the original message signal and causes the message signal's parameters to be corrupted. The message is transformed as a result of this change in the communication process. It's most likely to be inputted at the receiver or channel.

Noise can actually bury, distort or cause interference to the analog signal carrying the intelligent information.

What is analog signal?A signal in which a characteristic grows and decreases in lockstep with the object being sent is known as analog signal. The power of the radio wave, for example, rises and falls in accordance with the loudness of the original sound in AM radio.

Hence, the correct answer is B.

To know more about Noise here

https://brainly.com/question/21988943

#SPJ2

Earth travels fastest in January and slowest in July. What is the most likely explanation for this?
A. Earth is nearest the Sun in July and farthest away in January.
B. Earth is nearest the Sun in January and farthest away in July.
C. Earth is nearest the Sun in April and farthest away in October.
D. Earth is nearest the Sun in October and farthest away in April.

Answers

Answer:

Earth is nearest the Sun in July and farthest away in July.

Explanation:

Answer:

Correct Answer: B.

Explanation:

Earth is nearest the Sun in January and farthest away in July. Explanation: According to Kepler's Second Law, a planet travels fastest when it is nearest its sun. This means that Earth is actually closest to the Sun in January, when it is winter in the northern hemisphere!

how temperature, surface tension and the diameter of the tube affect capillary action.​

Answers

The surface tension acts to hold the surface intact. Capillary action occurs when the adhesion to the surface material is stronger than the cohesive forces between the water molecules. ... Water wants to stick to the glass and surface tension will push the water up, until the force of gravity prevents further rise.

Narrower tube openings allow capillary action to pull water higher

QUESTION 2 DOK 3 A Thompson's gazelle has a maximum acceleration of 4.5 m/s2 At this acceleration, how much time is required for it to reach a speed of 40 km/h?​

Answers

Answer:

2.47 s

Explanation:

Convert the final velocity to m/s.

40 km/h → 11.1111 m/s

We have the acceleration of the gazelle, 4.5 m/s².

We can assume the gazelle starts at an initial velocity of 0 m/s in order to determine how much time it requires to reach a final velocity of 11.1111 m/s.

We want to find the time t.

Find the constant acceleration equation that contains all four of these variables.

v = v₀ + at

Substitute the known values into the equation.

11.1111 = 0 + (4.5)t 11.1111 = 4.5t t = 2.469133333

The Thompson's gazelle requires a time of 2.47 s to reach a speed of 40 km/h (11.1111 m/s).

What happens to distance when velocity is doubled

Answers

If the velocity of an object is doubled then for a particular period of time the distance will also gets doubled.not sure tho

The creation of electricity in a coil of a wire through the movement of a magnet is called what?

A) electromagnet
B) Magnetosphere
C) Magnetism
D) Electromagnetic Induction

Answers

Answer:

D. Electromagnetic Induction.

Explanation:

Why would it be incorrect to say that the bulb supplies 60 J of light energy energy each second

Answers

Answer:

Explanation:

A 60W bulb , consumes electrical energy of 60 J per second but it does not give out all the energy in the form of light . Most of the energy consumed by it is wasted in the form of heat . Only a fraction of energy is converted into light energy .

Hence, it is wrong to say that bulb supplies 60 J of light energy each second .

Other Questions
How did the different regions change during the Middle Ages? Explain. Please help Im stuck on this question I would really like help. What group controlled the Greek mainland during the Greek Dark Ages?I need help ASAP!!! Doing a test at home and cant find my book. Please answer!! Jill's weight is 92 kg 250 g. Jill's sister's weight is 8 kg 600 g less than Jill's weight. How much does the sister weigh? Question 1Which words in the passage help the reader understand the meaning of the word avid in the first paragraph?A. What he found out B. Many hours gardening C.the curious and observant D.he noticed (2x^28x+3)+(9x^2+x+3) HELP ME PLSSSWrite a short journal entry from the perspective of either a Loyalist or a Patriot. In your journal entry talk about:How did the Sugar, Stamp, and Townshend Acts make you feel?How might you feel about the other perspective or viewpoint? (If you are writing as a Loyalist - How would you feel about how the Patriots are acting? If you are writing as a Patriot - How would you feel about those who are loyal to the British King?)Include evidence from the primary source and/or readings to support your answer?do not use g0ogle, if you dont know the answer ignore this different opinions concerning religion, concerning government, and many other points . . . have, in turn, divided mankind into parties . . . and rendered them much more disposed to [anger] and oppress each other than to co-operate for their common good.James Madison, Federalist Paper 10What is James Madison describing? Why is Ellis Island important in U.S. History?A) Wealthier passengers were admitted to theU.S. thereB) The majority of European immigrants at thistime came through there.C) The majority of Asian immigrants at this timecame through thereD) It is where half of all immigrants attempting toenter the U.S. were turned back to their homecountry Which characteristic best describes Joseph's father?ACaring, kindB.Adventurous, optimisticC.Disrespectful, hostile Which equation represents the following table? Calculate the concentration of 10g of magnesium chloride in 1dm3 of solution. Is this a positive slope or a negative slope???? Why is it important to be able to make inferences?Inferences add to your background knowledge.Inferences help readers read between the lines.Inferences help readers find text clues.Inferences provide supporting details to text. the radius of a circle is 9 M what is the circle's circumference use 3.14 for pi (60 POINTS) When an insect becomes trapped in a spider's web, the spider moves towards the insect. The spider could be alive because it displayswhich sign of life?A. information systemB. growth and developmentC. response to environmentD. reproduction Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9baskets. How many golf balls will be in each basket?CLEARSUBMIT5 golf balls6 golf balls7 golf balls8 golf balls find (5.3x10^3)-(8x10^2) Which trade barrier limits how many products a consumer may purchase from a foreign country? Nimin has volunteered to participate in an experiment evaluating the effectiveness of aspirin. Neither he nor the experimenters know whether the pills he takes during the experiment contain aspirin or are merely placebos. The investigators are apparently making use of Develop an Excel model for the following LP transportation problem. Solve the problem using Solver and match the correct answer to the questions. Warehouse City E City F City G City H Warehouse Supply A 0.53 0.21 0.52 0.41 4500 B 0.31 0.37 0.41 0.28 5000 C 0.56 0.32 0.56 0.33 4000 D 0.41 0.54 0.34 0.52 5500 City Demand 4,400 3,500 5,500 5,600 Match the correct answer to the following questions: 1. What is the value of the objective function