On a frictionless horizontal air table, puck A (with mass 0.251 kg ) is moving toward puck B (with mass 0.371 kg ), which is initially at rest. After the collision, puck A has velocity 0.120 m/s to the left, and puck B has velocity 0.654 m/s to the right.

What was the speed vAi of puck A before the collision?

Calculate ΔK , the change in the total kinetic energy of the system that occurs during the collision.

Answers

Answer 1

(a) The speed  of puck A before the collision is determined as 0.847 m/s.

(b) The change in the total kinetic energy of the system that occurs during the collision is 0.009 J.

Speed of puck A before the collision

The speed of puck A before the collision is calculated from the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

0.251u₁ + 0.371(0) = 0.251( -0.12) + 0.371(0.654)

0.251u₁ = 0.2125

u₁ = 0.2125/0.251

u₁ = 0.847 m/s to the right

Change in the total kinetic energy of the system

Initial kinetic energy = ¹/₂ x 0.251 x (0.847)² + ¹/₂ x 0.371 x (0) = 0.09 J

Final kinetic energy = ¹/₂ x 0.251 x (-0.12)² + ¹/₂ x 0.371 x (0.654)² = 0.081 J

ΔK.E = 0.081 - 0.09 = 0.009 J ≈ 0 J

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Related Questions

1. The Falcon Heavy rocket takes off with a constant net vertical force of 6.27 x 10^5
N. How much work does it do if it moves a distance of 144 km?

Answers

Explanation:

The formula for work is

[tex]w = |f| |d| \cos(x) [/tex]

where x is the angle between the displacement and force.

F is the force that is currently being active.

D is the displacement.

We only want our force and displacement to be positve so we use the absolute value sign.

Since the rocket and the displacement is both upwards, the signs. between them is 0.

So since

[tex] \cos(0) = 1[/tex]

We can just use that

[tex]w = |f| |d| [/tex]

First, we covert km to m.

[tex]144 \: km \times \frac{1000 \: m}{1 \: km} = 144000 m[/tex]

Now, we can multiply.

[tex]w = 14400 \: km \: \times (6.27 \times 10 {}^{5} )[/tex]

[tex]w = (1.44 \times 10 {}^{5} ) \times (6.27 \times 10 {}^{5} )[/tex]

[tex]w = 9.0288 \times 10 {}^{10} [/tex]

N times Meters = J so our answer is

[tex]w = 9.0288 \times 10 {}^{10} \: j[/tex]

HELP I DEPEND ON THIS

Answers

Answer:

D. A force within a fluid that pushes upward

Explanation:

Buoyancy is the ability of something floating in water, so it's probably not about the attraction between molecules and is about a force within a fluid. If a force within a fluid is pushing downwards on an object, that would make the object go downwards (sink), which is not buoyancy. If a force within a fluid is pushing upwards on an object, the object would be floating.

Answer:

Option D

Explanation:

When you put any object and push it inwards water .

According to Newton's third law every action has equal and opposite reaction

So the water hits back with opposite force which is known as buoyant force.

Archimedies law is applicable in these cases

If humans are exposed to radiation, this can cause a change in their DNA base sequence. What is the term given to this?

Answers

The term used to indicate different DNA nucleotide changes in humans exposed to radiation is called a mutation.

What is a mutation?

A mutation is any DNA nucleotide change or modification that occurs in the genome of a given organism.

Mutations may be caused by physical agents (e.g., UV radiation) or chemical agents.

In conclusion, the term used to indicate different DNA nucleotide changes in humans exposed to radiation is called a mutation.

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A transverse wave on a string has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 2.0 Hz. The wave moves in the positive x-direction.

--Enter any fractional coefficients as fractions, i.e., do not approximate fractions using decimals. Enter as itself; do not multiply it with other numerical factors. Enter phase angles in inverse function form if they do not evaluate one of the special angles on the unit circle.


--Write the mathematical description of the displacement y1(x,t) from equilibrium for the wave if, at t=0, x=0, and y1=0.

y1(x,t)= ___m


--Write the mathematical description of the displacement y2(x,t) from equilibrium for the wave if, at t=0, x=0, and y2=20 cm.

y2(x,t)= ___m


Write the mathematical description of the displacement y3(x,t) from equilibrium for the wave if, at t=0, x=0, and y3=−20 cm.

y3(x,t)= ___m


Write the mathematical description of the displacement y4(x,t) from equilibrium for the wave if, at t=0, x=0, and y4=13 cm.

y4(x,t)= ___m

Answers

(a) The mathematical description of the displacement of the wave, y1(x,t) = 0.2 m.

(b) The mathematical description of the displacement of the wave, y2(x,t) = 0.4 m.

(c) The mathematical description of the displacement of the wave, y3(x,t) = 0.2 m

(d) The mathematical description of the displacement of the wave, y4(x,t) = 0.33 m

Wave function

The general wave function is written as follows;

y(x, t) = Acos(kx - ωt)

where;

k is the wave number = 2π/λA is amplitude of the wave = 20 cmω is angular speedλ is the wave length = 35 cm

y0 = Acos(kx - ωt)

y0 = 20cm x cos(0 - 0)

y0 = 20 cm

From equilibrium of the wave, at t=0, x=0, y1 = 0

y1(x,t) = 20cm x cos(0 - 0) = 20 cm

y1(x,t)= 20 cm = 0.2 m

Thus, y1 = y1 + y0

From equilibrium of the wave, at t=0, x=0, y2 = 20 cm

y2 = y0 + y1 + y2

y2 = 20 cm + 0 + 20 cm

y2(x,t)= 40 cm = 0.4 m

From equilibrium of the wave, at t=0, x=0, y3 = -20 cm

y3 = y0 + y1 + y2 + y3

y3 = 20 cm + 0 + 20 cm - 20cm

y3(x,t)= 20 cm = 0.2 m

From equilibrium of the wave, at t=0, x=0, y4 = 13 cm

y4 = y0 + y1 + y2 + y3

y4 = 20 cm + 0 + 20 cm -20 cm + 13 cm

y4 = 33 cm

y4(x,t) = 33 cm = 0.33 m

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2. A student was sitting on one end of a set of metal bleachers outside of a school building. A drumline was practicing on the other end of the bleachers. Some of the musicians are drumming on the bleachers while others are drumming on their drums. The drumming on drums doesn’t bother the student, but the drumming on the bleachers does because he can feel it in the seat. He moves further away, which helps, but not enough. Finally, he decides to sit on his backpack. Compare the two types of waves the student is detecting. In your response, be sure to include: Why the student can feel the vibrations from the bleachers, but not from the drums. Identification of the two types of waves created by the drumming. A description of two similarities between the two wave types A description of two differences between the two wave types. Why moving away and sitting on the backpack helps him feel the waves less.

Answers

The students can feel the vibrations from the bleachers, but not from the drums because of the resonance.

What is the resonance?

The resonance condition occurs when the frequency of a wave matches with the resonance frequency.

The transfer of energy becomes maximum when the natural frequency matches with the frequency generated by the source.

The bleacher and student together having the frequency matching with the resonance frequency of the drum.

The bleacher and student with the bag frequency doesn't match with the resonance value of drums. Secondly, as distance increases sound intensity also decreases.

Thus, the student can feel the vibrations from the bleachers, but not from the drums because of the resonance.

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A lamp has a voltage of 120 V across it and uses a current of 0.5A. What is the power used by the lamp?

Answers

Given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.

What is the power used by the lamp?

Power is the quantity of energy transferred per unit time. It can be expressed as;

P = v × I

Where v is voltage and I is current.

Given that;

Voltage v = 120VCurrent I = 0.5APower P = ?

P = v × I

P = 120V × 0.5A

P = 60Watts

Therefore, given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.

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What's the temperature 414 K in degrees Celsius?

Answers

Answer:

140.85 is the correct answer

Which is NOT a negative consequence of clearing land during deforestation?

Answers

It gives humans space to build houses or shelters.

why Neil deGrasse Tyson says NASCAR doesn’t like the Doppler effect.

Answers

We can confirm that Neil deGrasse Tyson made this claim due to the fact that NASCAR races use speakers with the sounds of the race.

Why would using speakers ruin the Doppler effect?

The Doppler effect in regards to sound is a shift in the way we hear the sound as the object is coming closer and then moving farther away, something that NASCAR cars do very often during races. Placing speakers would overlap this sound with a constant sound wave, making the audience unable to perceive the doppler effect.

Therefore, we can confirm that Neil deGrasse Tyson made this claim due to the fact that NASCAR races use speakers with the sounds of the race.

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Which of the following statements is true.
a. Gravity is a force dependent on mass and force.
b. Gravity is a force dependent on mass and distance.
C. No Gravity is a force dependent on speed and force.
d. Gravity is a force dependent on force and distance.

Answers

Your answer will be b. Gravity is a force dependent on mass and distance. This is just a basic principle which you should know.
I believe it would be

B. Gravity is a force dependent on mass and Distance

please give me correct answer​

Answers

Answer:

1) convection.

2) thermometer.

3) Celsius scale.

4) Radiation.

5) Conduction.

6) Clinical thermometers.

Explanation:

so the questions have already given you a simple idea of their meanings.

Good luck.

3- Which of the following represents a way through which thermal energy is transferred by direct contact?
a Conduction O
b. Radiation O
c. Convection O
d. Specific heat

Answers

Answer:

A. conduction

Explanation:

Conduction is the transfer of energy from one molecule to another by direct contact.

Describe the importance of using protective equipment when participating in sports or physical activity

Answers

Protective gadgets are made to prevent injuries that can occur in any sport. Although you could still get hurt with them on, it minimizes the chances of the injury getting worse.


Which TWO types of waves can transmit energy through a vacuum?
A.) radio waves
B.) seismic waves
C.) sound waves
D.) water waves
E.) x-rays

Answers

Answer:

Answer = Radio waves and X-rays

Explanation:

Hope that helps! :)

The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :
x=-3.5sin(π/2t+(5π)/4)

Find
a. maximum kinetic energy
b. maximum potential energy
c. maximum mechanical energy

Answers

The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

What is simple harmonic motion?

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

The given equation of the simple harmonic motion is

[tex]x=3.5 sin (\frac{\pi }{2t} + \frac{5\pi }{4} )[/tex]

Data;

ω = π/2

k = 1.254N/m

Solving this

[tex]\frac{dx}{dt} = -3.5 X \frac{\pi }{2} cos (\frac{x\pi t}{2}+\frac{5\pi }{4} )[/tex]

Let's calculate the maximum velocity.

[tex]V_{m} =\frac{3.5\pi }{2}[/tex]

This is only possible when cos θ = -1

The maximum kinetic energy is

[tex]K_m =\frac{1}{2} mv^2 = \frac{1}{2} X \frac{500}{1000} X \frac{7^2\pi ^2}^{4} ^2[/tex]

[tex]w^2 = \frac{k}{m} \\k = w^2m\\k = \frac{\pi ^2}{4} X \frac{500}{1000} \\k =1.254 N/m[/tex]

Using the value of spring constant, we can find the maximum potential energy.

[tex]P.E =\frac{1}{2} k x^2\\P.E =\frac{1}{2} X 1.234 X 3.5^2 \\P.E = 7.56 J[/tex]

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

ME = K.E + P.E

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

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A force of 124 newtons pushed a 12kg object forward 13 meters. How much work is being done?

Answers

Answer:

Work = Force * Distance

Here,

force = 124 N

distance = 13m

Thus, Work = 124 * 13 = 1612 joules(J)

The crust is composed primarily of basalt and _____________.

Answers

Answer:

Granite

Explanation:

Trust me I learned this 2years ago

Find the radius and the circumference to the nearest hundredth when d ≈ 3.6 in. Use 3.14 for π. Drag and drop the correct number into each box to complete the answers.

The radius is approximately _ inches.

The circumference is approximately _ inches.

Answers

Explanation:

the radius is always half of the diameter.

so, the radius is approximately 3.6/2 = 1.8 in.

and the circumference of a circle is

2×pi×r = d×pi = 3.6×3.14 = 11.304 ≈ 11.3 in.

What affect does distance have on an electric field?
The closer an uncharged particle is to an electric field, the stronger the force exerted.
The further an uncharged particle is from an electric field, the stronger the force exerted.
The further a charged particle is from an electric field, the stronger the force exerted.
The closer a charged particle is to an electric field, the stronger the force exerted.

Answers

Answer:

the answer is equal to yes

what is 7 times 7 times 7 plus 3

Answers

7 x 7 x 7 + 3 = 346

7 x 7 = 49 ; 49 x 7 = 343 ; 343 + 3 = 346

how is the analogy activity of the balloon with galaxies drawn on them not correctly?

Answers

The analogy activity of the balloon with galaxies drawn on them is incorrect because galaxies may have different shapes.

What is a galaxy?

A galaxy is a group of stellar systems like our solar system linked by gravity in a particular space and time in the Universe.

Galaxies may adopt different forms such as spiral galaxies, elliptical galaxies, irregular galaxies, etc.

In conclusion, the analogy activity of the balloon with galaxies drawn on them is incorrect because galaxies may have different shapes.

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What is the acceleration when a force of 2.0N is applied to a ball that has a mass of 0.60 Kg ?

Answers

Formula :- Force = mass × acceleration

F= m × a

[tex]2 = 0.6 \times a \\ 2 \times \frac{10}{6} = a \\ \cancel2 \times \frac{10}{ \cancel6 {}^{ \: \: 3} } = a \\ \frac{10}{3} = a = 3.33[/tex]

Option A -> 3.3

Answer:

3.3 m/s²

Explanation:

Formula :

Force = mass × acceleration

Given :

Force (F) = 2.0 Nmass (m) = 0.60 kg

Solving :

2.0 N = 0.60 kg × acceleration (a)a = 2.0/0.60a = 20/6 = 10/3a = 3.3 m/s²

Please just give me an answer, thanks.
1. task
The resistance of the light bulb is 0.4 kΩ. To what voltage is it connected if a current of 33 mA flows through it? The answer is rounded to the nearest whole number!
2. task
The length of the cable is 69 m, its cross-sectional area is 0.4 mm2. What material is the wire made of if its resistance is 86.3 Ω? Just give me the result of numbers, i'll find myself what material corresponds to those numbers
3. task
Calculate the resistance of the galvanometer if a current of 6 μA flows through it and the voltage is 7 mV! Round to the nearest whole number!

Answers

#1

[tex]\\ \rm\dashrightarrow P=VI\implies V=\dfrac{P}{I}[/tex]

[tex]\\ \rm\dashrightarrow V=\dfrac{0.4\times 10^3}{33\times 10^{-3}}[/tex]

[tex]\\ \rm\dashrightarrow V=0.012\times 10^{-6}[/tex]

[tex]\\ \rm\dashrightarrow V=12mV[/tex]

#2

[tex]\\ \rm\dashrightarrow R=\rho \dfrac{\ell}{A}[/tex]

[tex]\\ \rm\dashrightarrow \rho =\dfrac{RA}{\ell}[/tex]

[tex]\\ \rm\dashrightarrow \rho=\dfrac{86.3(0.4\times 10^6)}{69}[/tex]

[tex]\\ \rm\dashrightarrow \rho=0.5\times 10^{6}[/tex]

It should be silicon

#3

Ohms law

[tex]\\ \rm\dashrightarrow R=\dfrac{V}{I}[/tex]

[tex]\\ \rm\dashrightarrow R=\dfrac{7(10^3)}{6(10^{-6})}[/tex]

[tex]\\ \rm\dashrightarrow R=1.167\times 10^9\Omega[/tex]

A (-8.8×10-20 C) charge is moving at (9.6×106 m/s) perpendicular a magnetic field. It
experiences a force of to (-5.2×10-16 N). What is the magnetic field strength?

6.2×10 -4 T
5.4×10 -15 T
3.2 ×10 -27 T
4.4×10 -20 T

Answers

The magnetic field strength will be 6.1 x 10⁻⁴ T.

What is magnetic field?

The magnetic field is the region of space where a charged object experiences magnetic force when it is moving.

The magnetic field strength is the magnitude of magnetic field in Tesla. It is related to velocity, magnitude of charge and force by the relation,

Magnetic force F = qVB

Given is the charge q = -8.8×10⁻²⁰ C, Force F = -5.2×10⁻¹⁶ N and the velocity v = 9.6×10⁶ m/s, then the magnetic field strength will be

B =  -5.2×10⁻¹⁶/-8.8×10⁻²⁰ x9.6×10⁶

B = 6.1 x 10⁻⁴ T

Thus, the magnetic field strength will be 6.1 x 10⁻⁴ T.

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A body moves in the east with the velocity of 25 m/s. Another body B moves in the same direction with a velocity of 10 m/s. If both of them had started from the same point then find :

i) The velocity of w .r. t. B.

ii) The distance covered by each in 30
seconds...

iii) The distance between them after 1
minute...

Please help....ty !!!
[tex].....[/tex]

Answers

Answer:

See below

Explanation:

i)     Velocity of A  wrt B is  15 m/s east

ii)    A   30 * 25 = 750 m east      B   30 *10 = 300 m east

iii)    1 minute will be    15 m/s * 60 = 900 m  apart

“Jonny pulls his sister Jane (weight 28 lbs), who is sitting in a wagon, up an incline ramp (θ = 17°) with a steady speed. If the coefficient of kinetic friction is 0.18, the wagon has a mass of 14 kg, and the length of the ramp is 2.4 m, find: a) the work done by the frictional force. b) the work done by the gravitational force.“

Answers

(a) The work done by the frictional force is -33.1 J.

(b) The work done by the gravitational force is 175.58 J

Work done by frictional force

The work done by frictional force is calculated as follows;

W = -μmgsinθ x L

W = -μmgsinθ  x L

where;

m is mass of Jane and wagon

W = -0.18 x (12.7 + 14)9.8 x sin(17) x 2.4

W = -33.1 J

Work done by the gravitational force

W = mgh

W = mgcosθ  x h

W = mgcosθ  x Lsinθ

W = (26.7)(9.8)cos(17) x 2.4 x sin(17)

W = 175.58 J

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In sound, the wavelength of the sound
determines the __ of the sound.
A. Pitch
B. Volume
C.Length

Answers

Answer:

A) Pitch

Explanation:

Wavelength determines the pitch  ( or frequency which is 1/wavelength)

How do you know that light travels faster than
sound? (Hint: Give an example of something that
produces sound and light at the same time.)

Answers

Answer:

Explanation:

Answer

How about a thunder storm. I don't know if you live in a city or out in the sticks as I do. Lighting is very obvious and it is not a good idea to be out when experiencing a thunderstorm, especially in an open field. You might be the only thing around that will cause the lightning to be connected to the ground.#  Seconds later, you will hear the thunder which is quite harmless. If you live in the city, observing this is not quite so easy. There are all kinds of buildings around and some of them may block your view.

#The great golfer, Lee Travino, was "hit" by lightening storm twice while playing in tournaments.

(50 Points)

Explain how an electric current affects the charged atoms in a piezoelectric crystal and how this allows the crystal to push a robotic forward

Answers

Answer:   The piezoelectric effect describes the property of certain solids to generate an electrical charge under mechanical stress. The actuating force modifies the microscopic structure of the body; dipoles are created between which a voltage builds up. And Their positive and negative charges complement each other creating two types of electricity: static electricity

Explanation:

3. The height of a wave crest is called
a. wavelength.
c. amplitude.
b. frequency
d. energy

Answers

Answer:

C. Amplitude

Explanation:

The height of a wave crest is called Amplitude
Other Questions
Suppose you were to create a scatter plot of outside temperature and amount of heating bill. would you expect to see a positive, negative, or no relationship between the two variables. explain your answer. a. no relationship. b. positive relationship; as the outside temperature decreases, the amount of the heating bill increases. c. positive relationship; as the outside temperature increases, the amount of the heating bill increases. d. negative relationship; as the outside temperature decreases, the amount of the heating bill increases What does impeach mean?a. to accuse a public official, before anappropriate tribunal, of misconduct in officeb. the power or right to prohibit or reject ac. having two branches, chambers, or houses,as a legislative bodyd. to suspend proceedings to another time or Among the licensed drivers in the same age group, what is the probability thata 66-year-old was involved in an accident? Use the table below.Drivers inAge group accidents(thousands)19 and under 215020-24 262025-34 374035-44 |322045-54 303055-64 199065-74 179075 and over 560Drivers infatalaccidents5,4003,700(10,70096009400650038004300LicensedDrivers|(thousands)10,03417,17335,71240,32240,93730,35517,24613321O A. 6.6%O B. 4.2%O C. 4.6%O D. 7.4% The students in Classroom 101 consist of 13 girls and 7 boys. The students in Classroom 103consist of 8 girls and 12 boys. You randomly choose one student from each classroom. Find theprobability of the events.8. Choosing a boy from both classrooms9. Choosing a girl from Classroom 101 and a boy from Classroom 10310. Choosing a boy from Classroom 101 and a girl from Classroom 10311. You randomly choose 2 students from Classroom 101 to compete ina competition.a. First Choice: girl Second Choice: girlb. First Choice: boySecond Choice: girlc. First Choice: girlSecond Choice: boy What was the topof the pyramidused for in theMayan civilization?A. drying out their fabrics and goodsB. religious practicesC. growing natural goods Please answer quickly I felt approaching footsteps. I stretched out my hand as Isupposed to my mother. Someone took it, and I wascaught up and held close in the arms of her who had cometo reveal all things to me, and, more than all things else, tolove me.-Helen Keller, The Story of My LifeWhich word from the passage provides a clue to the type of narration beingused?A. motherO B. meO C. loveD. someone Solve the system of linear equations by elimination. Check your solution.3x - 4y = 177x - 4y = 13 Seven times a number is 30 greater than the sum of twice the number and 5. What is the number Select the best answer for the question.1. Which one of the following statements is true regarding paragraphs?A. A paragraph with two main topics is called a complex paragraph.OB. A topic sentence should not be placed in the middle of a paragraph.C. The topic of a paragraph is always placed in the first sentence.D. A paragraph should have one main topic. why are bad habbits difficult to get rid of? Why have plants and animals been able to adapt to climate change in the past?A. Slower ChangeB. Human Protectionc> Climate has not changed help me please....._ please answer this question what is the density of population in Terai region according to the latest census of 2011 Help me please !!!!!!!!!!!!!!!!! 25 POINTS Which equation does the graph of the systems of equations solve? two linear functions intersecting at 3, 2 one thirdx + 1 = 2x 4 one thirdx + 1 = 2x 4 one thirdx + 1 = 2x 4 one thirdx 1 = 2x 4^-^the answer is [tex]\frac{1}{3} x + 1 = 2x - 4[/tex] Two capacitors C1 = 1.5 F and C2 = 5 F are in series. If the charge stored by C1 is 10 C, determine the charge stored by C2. a. 4 C b. 1.5 C c. 10 C d. 3 C Apple estimates that 2.8 million square feet of the building is used for office space. Is their estimate reasonable? Below is the floor plan (each floor has a similar floor plan). Only the blue area is office space. Justify your response. What is the value of y?