A bowling ball with a mass of 7.0kg strikes a pin that had a mass of 2.0kg the pin flies forward with a velocity of 6.0m/s, and the ball continues forward at 4.0 m/s. What was the original velocity of the ball?

Answers

Answer 1

The conservation of momentum P states that the amount of momentum remains constant when there are not external forces.

We don't have external forces, so:

[tex]P_0 = P_1\\m_bv_{0b}+m_pv_{0p}=m_bv_{1b}+m_pv_{1p}\\[/tex]

Where:

mb is the mass of the bowling ball mp the mass of the pin[tex]v_{0b}\quad and\quad v_{0p}[/tex] the initial velocities of the bowling ball and the pin.[tex]v_{1b}\quad and\quad v_{1p}[/tex] the final velocities of the bowling ball and the pin.

Solving for v0b:

[tex]v_{0b} =\dfrac{m_bv_{1b}+m_pv_{1p}- m_pv_{0p}}{m_{b}}\\\\v_{0b} =\dfrac{(7\;kg)(4\;m/s)+(2\;kg)(6\;m/s)- (2\;kg)(0 \;m/s)}{7\;kg}\\v_{0b}=\dfrac{40}{7}\;m/s\\\\\boxed{v_{0b}\approx5.71\;m/s}[/tex]

R/ The original velocity of the ball was 5.71 m/s.
Answer 2

The original velocity of the ball is 5.71 m/s.

The principle of conservation of momentum: In a closed system, The total momentum before collision is equal to total momentum after collision.

From the principle of conservation of momentum,

MU+mu = MV+mv.................... Equation 1

Where M = mass of the bowling ball, m = mass of the pin, U = initial velocity of the bowling ball, u = initial velocity of the pin, V = final velocity of the bowling ball, v = final velocity of the pin.

From the question,

Given: M = 7 kg, m = 2 kg, u = 0 m/s (at rest), v = 6.0 m/s, V = 4 m/s.

Substitute these values into equation 1 and solve for U

7(U)+2(0) = 7(4)+2(6)

7U = 28+12

7U = 40

U = 40/7

U = 5.71 m/s.

Hence, The original velocity of the ball is 5.71 m/s.

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Related Questions

Pls help! What would be considered an antonym for law of superposition??

Answers

Answer:

do you have any pictures or any answers we can choose from?

Explanation:

This is an incomplete question.

A 2kg ball is thrown with an acceleration of 15m/s2. A 2kg ball is thrown with an acceleration of 10m/s2. Which ball
will have a greater net force? Calculate the net force of both balls to justify your answer.

Answers

A :-) for this question , we should apply
F = ma
( i ) Given - m = 2 kg
a = 15 m/s^2
Solution :
F = ma
F = 2 x 15
F = 30 N

( ii ) Given - m = 2 kg
a = 10 m/s^2
Solution :
F = ma
F = 2 x 10
F = 20 N

.:. The net force of object ( i ) has greater force compared to object ( ii ) by
( 30 - 20 ) 10 N

What is the momentum of an 18-kg object moving at 0.5m/s

Answers

Answer:

Momentum = 9kgm/s

Explanation:

Given the following data;

Mass = 18kg

Velocity = 0.5m/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

Substituting into the equation, we have;

Momentum = 18 * 0.5

Momentum = 9kgm/s

Therefore, the momentum of the object is 9kgm/s.

What’s the answer for this problem?

Answers

the answer is always true a



1. What is the wavelength of a sound wave with a frequency of 50 Hz, if the Speed of sound is 343 m/s.

2.A sound wave in a steel rail has a frequency of 620 Hz and a wavelength of 10.5 m. What is the speed of sound in steel?

3.A wave has a frequency of 10 Hz and a wavelength of 30m. What's its speed?

Answers

1.6.86

2.59.04

3.3

Thats the answer I think

Let's assume you have a mass of 75 kg and your jeep has a mass of 1500 kg. How much greater is the force of gravity on the jeep?

A. 0.05 times
B. 20 times
C. 1500 times

Answers

Answer:

20 times

Explanation:

75kg × 20 = 1500kg

Amount of time greater is the force of gravity is 20 times

Given:

Mass of person = 75 kg

Mass of jeep = 1500 kg

Find:

Amount of time greater is the force of gravity

Computation:

Amount of time greater is the force of gravity = Mass of jeep / Mass of person

Amount of time greater is the force of gravity = 1500 / 75

Amount of time greater is the force of gravity = 20 times

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The table below describes some processes in which food is changed as it travels through the digestive system.



Which of the processes describe only physical changes in the food particles?

Processes 1, 2, 3, and 4

Processes 1, 3, and 6

Processes 2, 5, and 6

Processes 1, 3, and 4

Answers

Answer:

processes 1,3, and 4

Explanation:

i think

Teeth tear the food, the tongue reforms the food, and the stomach muscles break the food into small pieces are physical changes. Therefore, option (4) is correct.

What is a physical change?

A physical change can take place when the identity of the matter does not but some of the characteristics of the matter change. Physical changes of matter are categorized as reversible and irreversible in nature. For example, the freezing of water is a reversible physical change since the ice cube can melt again.

Physical change can be described as a kind of change where only the physical properties of substances such as solubility, color, odor, etc. can change. During physical changes, no chemical bonds are formed or broken between atoms.

The chemical nature and chemical composition of the matter remain unchanged during a physical change.  

In the digestive system, the breaking of food by teeth, tongue, and stomach muscles is a physical change. The food mixed with acids and broken by enzymes is a chemical change.

Learn more about physical change, here:

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If a car has a constant acceleration of 4 m/s², starting from rest, how far has it traveled after 5 seconds?

Answers

Answer:

100 meters

Explanation:

d=at^2 correct? So you plug in acceleration and time. d=(4)(5)^2 which when using pemdas turns out to 100 meters.

If the 5-N force and the 12-N force form a 90 degree angle, what is the magnitude of the force acting in the direction of the dashed arrow

Answers

Answer:

13N

Explanation:

Kindly see attached file for your reference

Step one:

given data

the horizontal component of the force= 12N

the vertical component of the force= 5N

The dashed arrow represents the hypotenuse of the triangle, hence the resultant of the force system.

By implication of this, we will use the Pythagoras theorem to solve for the resultant force

Step two:

[tex]F_R=\sqrt{F_H^2+F_V^2}\\\\F_R= \sqrt{12^2+5^2}\\\\F_R=\sqrt{144+25}\\\\F_R=\sqrt{169}\\\\F_R=13N[/tex]

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which phrase describes air pressure?

decreases with denser air
decreases as altitude decreases
equals mass divided by volume
decreases as a result of fewer air particles pushing down

Answers

Answer:

decreases with denser air

Answer:

b) decreases as altitude decreases

Explanation:

A 3.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 28.0. with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s^2. If the coefficient of kinetic friction between

the block and the wall is 0.40, find

a) the work is done by the force on the block.

Answer in units of J.

b) the work done by gravity on the block.

b) the work done by gravity on the block.

Answers

Answer:

a)  [tex]w_{Fy} = 237.61713[/tex]J

b)  [tex]w_{g}=-58.86[/tex] J

c)  [tex]N=223.44641[/tex]N

Explanation:

Key: theta = θ kinetic friction = μ α = 180°

a) Work of Force put on block

Remember that you need both sides x & y

Equations:

[tex]w_{F}=F_{x} cos[/tex]  |  [tex]w_{F}=F_{y} sin[/tex]θ[tex]_{net} F_{x} =0[/tex]      |  [tex]_{net} F_{y} =0[/tex] [tex]N=Fcos[/tex]θ   | [tex]F_{y} sin[/tex]μ[tex]N-mg=0[/tex]                     |  [tex]F_{y} sin[/tex][tex]F_{y} =\frac{mgd sin(theta)}{sin(theta)-(kinetic friction)cos(theta)}[/tex]-μ[tex]Fcos[/tex]θ[tex]=mg[/tex]                     |[tex]w_{Fy} =Fdsin[/tex]θ                     |  [tex]w_{Fy} =\frac{(3*9.81)sin(28)}{sin(28)-(0.40)cos(28)}[/tex]                     | [tex]w_{Fy} = 237.61713[/tex]J

b) Work of Gravity on block

[tex]w_{g} =F_{g}dcos[/tex]α [tex]w_{g} =mgdcos[/tex]α [tex]w_{g}=(3)(9.81)(2)cos(180)[/tex] [tex]w_{g}=-58.86[/tex]J

c) Magnitud of Normal Force

[tex]F=\frac{mg}{sin(theta)-(kinetic friction)cos(theta)}[/tex][tex]F=\frac{3*9.81}{sin(28)-(0.40)cos(28)}[/tex][tex]F = 253.06871[/tex][tex]N=Fcos[/tex]θ[tex]N=(253.06871)cos(28)[/tex][tex]N=223.44641[/tex]N

Hope it helps

Which evidence did Alfred Wegener’s original theory of continental drift have access to?

Answers

Answer:

Evidence for continental drift

Wegener knew that fossil plants and animals such as mesosaurs, a freshwater reptile found only South America and Africa during the Permian period, could be found on many continents. He also matched up rocks on either side of the Atlantic Ocean like puzzle pieces.

Explanation:

An object that has the ability to do work has __________ energy.

Group of answer choices

magnetic

kinetic

potential

electrical

Answers

Answer:

kinetic

Explanation:

can someone help please

Answers

i’m pretty sure you would measure from crest to crest so A and B

I NEED THIS ASAP
The labeled images each represent the wave patterns found in the electromagnetic wave spectrum.


Which image is correctly labeled for frequency, wavelength, and radiant energy?

Answers

Answer:

Srry !!!

Explanation:

Image is not clear.

What do the magnets in a computer hard drive and in the strip on a credit
card have in common?
The answer is they store information

Answers

Answer:

they store information

Explanation:

Information are encoded on the magnetic part of a hard drive and the strip of a credit card.

On the drive, series of magnetic fields are used to encode information. The data is stored in form of zeros and ones. A credit card has a magnetic strip where information is encoded. The stripe provides a readability function for electronic devices.

Answer:

Tysm

Explanation:

What is the difference in degrees
Celsius between the hottest stars and the
coolest stars?

Answers

The hottest starts have high temperatures of 40,000 Kelvins or over, and the coolest starts hav temperatures of about 2000 Kelvins.

hope this helps :)

worth brainliest!! help me on both and explain I will spam ur questions if u answer something dumb

Answers

Answer:

Answers are below hopefully they're correct and what u need

Explanation:

1. Step 1: Given

The distance is 600 km, since 100(speed) x 6 (time) = 600

2. Step 2: Formula

s = d/t

d = t x s

t = d/s

3. Step 3: Substitue

s = 600/6

d = 100 x 6

t = 600/100

4. Step 4: Solve

600/6 = 100

100 x 6 = 600

600/100 = 6

Step 5: Answer

Therefore, the distance is 600km, the speed or rate is 100 km/hr, and the time is 6hrs.

NUMBER 2

1. Step 1: Given

Distance = 200 m

Rate or speed = 8m/s

Time = ?

2. Step 2: Formula

s = d/t

d = t x s

t = d/s

3. Step 3: Substitue

t = 200/8

s = 200/25

d = 25 x 8

4. Step 4: Solve

200/8 = 25

25 x 8 = 200

200/25 = 8

5. Step 5: Answer

Therefore, the time is 25sec, distance is 200m, and speed or rate is 8m/s

Answer:

vivi I is here and I will come up was wondering what do you think about this I don't know

What would be the daughter product of the beta decay of lead-212 and what would be the daughter product of the alpha decay of polonium-216?

Answers

Answer:

lead with Z = 82 is transformed into Bismuth with Z = 73

The Po with Z = 84 becomes Pb with Z = 82

Explanation:

Beta decay occurs when a neutron emits an electron and an anti neutrino from the atomic nucleus, therefore the atomic number of the material increases by one unit.

           Pb + e + ν → Bi

lead with Z = 82 is transformed into Bismuth with Z = 73

In alpha decay, a helium nucleus is emitted from the nucleus of the atom, therefore the atomic number decreases by two units.

         Po +α → Pb

The Po with Z = 84 becomes Pb with Z = 82

If an object's velocity and acceleration are both in the different directions, will the object
speed up or slow down?it would |

Answers

It would slow down. Kind of like a car going up a hill but the engine provides more energy.

A Martian rover found an interesting rock that could contain signs of what Mars was like long ago. It grabbed
it with its rover arm and raised it to a height of 0.2 m. Then it dropped it and found that it had a kinetic
energy of 12 J when it struck the ground. Note that Mars has an acceleration due to gravity of 3.77 m/s2.
Complete the following equations to determine the rock's potential energy if it were brought to earth and
dropped from a height of 1 meter. Use what you know about calculating gravitational potential energy to
correctly set up and solve the equation.
PE- m
XH
- PE

Answers

Answer:

It would be PE=16kg * 9.8 m/s^2 * 1m = 160 J

Explanation:

The person who asked this question ended up answering his own question so I'm here to let you know all that the answer was founded by the person whos posted the question himself full credit goes to him :)

Hi thanks to whoever answers thanks! will give brainliest

Answers

The answer to your question is true
True!!!!!!!!!!!!!!!!!!!!!!

A red cart has a mass of 4 kg and a velocity of 5 m/s. There is a 2-kg blue cart that is parked and not moving, thus its velocity is 0 m/s.


The red cart hits the blue cart.


The blue cart starts to move forward with a velocity of 6 m/s. The red cart bounces off of the blue cart and moves backwards, at a velocity of 2 m/s.


Name the TYPE of collision that occurred.

Calculate the BEFORE momentum of the red cart. Use correct units.

Calculate the BEFORE momentum of the blue cart. Use correct units.

Calculate the AFTER momentum of the red cart. Use correct units.

Calculate the AFTER momentum of the blue cart. Use correct units.

Calculate the SYSTEM’S TOTAL MOMENTUM before the collision. Use correct units.

Calculate the SYSTEM’S TOTAL MOMENTUM after the collision. Use correct units.

EXPLAIN how this example supports the Law of Conservation of Momentum. Use the evidence to support your answer of how this example supports the Law of Conservation of Momentum. Use correct units. Be specific.

Answers

Answer:dam hold up

Explanation:

There is a species of Darwin’s finch on the Galapagos Islands that can exert a force of 205N with its beak as it cracks open a seed case. If its beak moves through a distance of 0.40 cm during this operation, how much work does the finch do to get at the seed inside the case?

Answers

Answer:

0.82 J

Explanation:

We know that work done W = Fd where F = force and d = distance moved in the direction of the force.

Now, the finch on Galapagos Islands exerts a force of 205 N with its beak as it cracks open a seed case. So, F = 205 N. If the beak moves a distance of 0.40 cm during this operation, then d = 0.40 cm = 0.004 m.

We now compute W.

So, W = Fd

= 205 N × 0.004 m

= 0.82 J

So the finch does work of 0.82 J to get at the seed inside the case.

Imagine you are a water molecule, carbon atom, or nitrogen atom that is inside a cow. Write a brief explanation of how you got from the atmosphere (the air) into the biosphere (the living cow). *

Answers

Answer:

Explanation:

The processes involved in each of the molecules involved are different.

For example, water molecules that have condensed in the atmosphere (in the cloud) return back to the earth through precipitation in the form of rain water. These cows drink these water from various water bodies around them. This is one process in which water molecules move from the atmosphere into the living cow.

In the case of carbon and nitrogen atoms; the air the cow breath in consists of nitrogen, oxygen, carbon dioxide and some other gases. These gas molecules move (from the atmosphere) into the cow through the process of respiration.

Is friction an unbalanced force yes or no?

Answers

Answer: (Remember: a force is not needed to keep a moving object moving to the right.) ... Yet there is no force present to balance the force of friction. As the book moves to the right, friction acts to the left to slow the book down. There is an unbalanced force; and as such, the book changes its state of motion.

Explanation:

When the forces acting on an object are unbalanced, they do not cancel out one another. An unbalanced force acting on an object results in the object's motion changing. ... Friction is a force that resists the motion or the tendency toward motion between two objects in contact with each other.

(hope this helps :))

What is the water pressure at a depth of 30m in pascals?

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

The water pressure at depth h from the water surface is obtained from the following equation.

[tex]Pressure = (density) \times (gravity \: \: acceleration) \times (depth \: \: from \: \: the \: \: water \: \: surface) \\ [/tex]

[tex]density = 1000 \: \: \frac{kg}{ {m}^{3} } [/tex]

[tex]gravity \: \: acceleration = 10 \: \: \frac{m}{ {s}^{2} } [/tex]

[tex]depth \: \: from \: \: the \: \: the \: \: water \: \: surface = 30 \: \: m \\ [/tex]

______________________________________

[tex]P = 1000 \times 10 \times 30[/tex]

[tex]P = 300,000 \: \: pascals[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

can someone please help me? i don’t wanna fail :(

Answers

Answer:

All of the above

Explanation:

The larger truck has greater mass than the car thus allowing it to build up momentum faster.

Answer:

The answer is momentum

Explanation:

I have done that question before, And I got it right.

Answer the following

Answers

Answer: There is nothing here

Explanation: Could you please add a picture or something

(URGENT)

Which describes increasing the efficiency of an energy resource?


A>Making cars that get better gas mileage


B>Using biomass instead of coal


C>Turning off the lights when leaving a room


D>Switching from coal to solar

Answers

Answer:

A Making cars that get better gas mileage

Explanation:

Getting cars that gets better gas mileage are increasing the efficiency of fossil fuels.

Efficiency is the tendency to avoid wastage of resources. When the most value is gotten from a resource, the efficiency is high. A better car engine and other electrical components of the car that reduces the wastage of fuel helps fuel efficiency.
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