suppose that we attach velcro® to the non-magnetic ends of the two carts in the video and remove the mass bars, so that both carts have the same mass. we repeat the experiment shown in the video, and the carts stick together after they collide. if the launch cart travels at a speed v0, then how fast will the combined two-cart system travel after the collision?

Answers

Answer 1

The momentum conservation allows to find the final speed of the cars together are:

If the second car is stopped, the final speed is:     v = vo / 2 If the second car moves towards the first, the final speed is:   v = 0

The momentum is defined by the product of the mass and the speed of the body.

        p = m v

Where the bold letters indicate vector, p is the moment, m is the mass and v the velocity.

If we define the system as formed by the two bodies, the forces during the collision are internal and the momentum is preserved, let's find the moment in two instants.

Initial instant. Before crash.

       p₀ = m v₀₀₀+ m v₀₂

Final moment. After the crash.

      [tex]p_f = 2m \ v[/tex]

The moment is preserved.

      [tex]p_o =p_f \\m v_o + m v_o_2 = 2m \ v[/tex]  

     [tex]v = \frac{m v_o + v_o_2}{2m}\\ v = \frac{1}{2} \ ( v_o + v_o_2)[/tex]

We have two cases:

That the second car is initially stopped, therefore the speed is zero

       v = v₀ / 2

That the second car move towards the first with velocity v₀₂ = - vo

       v = 0

In conclusion using the momentum conservation we can find the final velocity of the cars together are:

If the second car is stopped, The final speed is:   v = vo / 2 If the second car moves towards the first, the final speed is:  v = 0

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Related Questions

calculate the density of a 50 ml solution that is 5% water and 95% ethanol. show your calculation.

Answers

The density of the solution from the given compositions of water and ethanol is 799.55 kg/m³.

The given parameters;

Volume of the solution, v = 50 mlComposition of water, 5%Composition of ethanol, 95%Density of water, = 1000 kg/m³Density of ethanol, = 789 kg/m³

The density of the solution from the given compositions of water and ethanol is obtained by finding the respective amount of water and ethanol composition is the solution.

The density of the solution is calculated as follows;

[tex]\rho = \frac{5(1000 \ kg/m^3) + 95(789 \ kg/m^3)}{100} \\\\\rho = 799.55 \ kg/m^3[/tex]

Thus, the density of the solution from the given compositions of water and ethanol is 799.55 kg/m³.

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The answer is 799.55 kg/m3.

1. Which of the following does not play a role in convection in the mantle?
A. gravity
B. temperature
C. density
D. magnetism

Answers

Answer:

Magnetism

Explanation:

can i get help with this worksheet

Answers

Answer:

hi uv f hmm k in vyvj

Explanation:

hujjkiv ghujihtnkbggvhbbbnnjnj

Explain why a clothes iron with a metal base must be connected to the mains by a three-core cable.

Answers

The charge going to the clothes iron needs to be grounded so the iron does not make any shock

The earth connection is because the earth connection(third cable) helps to prevent the casing from turning into a live wire.

What are the three cables?

It is normal to find that the cable that is used in the pressing iron has three wires that connect to live, neutral and earth. The earth connection is very important in the pressing iron.

The reason why we ought to have the earth connection is because the earth connection helps to prevent the casing from turning into a live wire.

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#SPJ9

the perimeter of a rectangle is 28 inches if the width of the rectangle is 7 inches what is the length

Answers

4 i think
it needs to b 20 characters so im adding all this extra stuff, its 4 tho

when the weight of the object increase block what is the force of friction applied? Explanation?

Answers

Answer:

There is absolutely No relationship between the weight of an object (which is constant) and the frictional force. If a block is sliding on a surface, that surface will be exerting a force on the block. That force can be resolved into a component parallel to the surface (which we call the frictional component), and a component perpendicular to the surface (called the normal component). For many situations, we find experimentally that the frictional component is approximately proportional to the normal component. The frictional component divided by the normal component is defined to be a quantity called the coefficient of kinetic or sliding friction. The coefficient of kinetic friction obviously depends on the nature of the surfaces involved. The normal component on an object can be decreased if you pull in the direction of the normal component (the weight does not change). However pulling this way on the object not only decreases the normal component, but it also decreases the frictional component since they are proportional. This is why it is easier to slide something if you pull up on it while you push it. If you push down, the normal and frictional components increase so it is harder to slide the object. The weight of an object is the downward force exerted by Earth’s gravity on that object, and it does not change no matter how you push or pull on the object.

A 1.11 kg ball sits at rest on a table 1.72 m above the ground. What is the potential energy of the ball?

Answers

Answer:

18.71 joules

Explanation:

The formula to solve for potential energy is PE = mgh

where m = mass, g = force of gravity, and h = height.

m = 1.11 kg

g = 9.8 m/s^2

h = 1.72 meters

PE = (1.11)(9.8)(1.72)

PE = 18.71016

Therefore, the potential energy of the ball is 18.71 joules.

Answer:

The formula to solve for potential energy is PE = mgh

where m = mass, g = force of gravity, and h = height.

m = 1.11 kg

g = 9.8 m/s^2

h = 1.72 meters

PE = (1.11)(9.8)(1.72)

PE = 18.71016

Therefore, the potential energy of the ball is 18.71 joules.

why are protons and electrons attracted to each other

Answers

Answer:

electrons have a negative charge, while protons have a positive charge

Explanation:

In science "opposites attract"

Which statement best describes the air in Earth's atmosphere?
- a pure substance made of one kind of gas
- a solution of gases that are physically mixed
- a compound made of two or more kinds of gases
- a mixture of two gases that are chemically combined

Answers

Explanation:

Please Tell me About this question if you know que is transformer is used in rectifier to step up or step down voltage?

How much time would it take for the sound of Thunder to travel 2000 meters if sound travels a speed of 330 meters per sec.

Answers

Answer:

6.06 seconds i believe (rounded)

i just divided.

Let’s say someone drops to Waterman off a skyscraper. The second watermelon is released 1s after The first watermelon. Will the vertical distance between the watermelons always be the same

Answers

Answer:

Yes

Explanation:

They will reach the ground right after each other.

help2$2$28/?$3!32$?3)3

Answers

The answer is D; 20 N

What is the weight force of a 10 kg object on the sun? (The sun's acceleration due to gravity is 275 m/s^2)?​

Answers

Answer:

f=mass × acceleration

f=10×275

f=2750N

Explanation:

PLS MARK BRAINLIEST

What is the density of the football in g/cm

Answers

Answer:   see below.

Explanation:

Your question is lacking the necessary parameters, so I will assume the values to enable me to solve it:

Mass of football = 20 grams

Volume of football = 100[tex]cm^{3}[/tex]

To find the density of the football;

Density is simply mass per unit volume of an object such as a football.

Mathematically, the density of an object is given by the formula;

Density=[tex]\frac{Mass}{Volume}[/tex]

Substituting the assumed values into the above formula;

Density=[tex]\frac{20}{100}[/tex]

Density= 0.2g/[tex]cm^{3}[/tex]

Therefore, the density of the football is     0.2g/[tex]cm^{3}[/tex] .

For you: You can substitute the appropriate parameters into the formula to get the exact density of the ball.

What is the efficiency of a ramp if 2,000 joules of energy results in 1.200 joules of work? (1 point)
O 32%
O 80%
60%
0 24%

Answers

Total energy=∆E=2000JUsed energy=E=1200J

[tex]\boxed{\sf Efficiency=\dfrac{E}{∆E}\times 100}[/tex]

[tex]\\ \sf\longmapsto Efficiency=\dfrac{1200}{2000}\times 100[/tex]

[tex]\\ \sf\longmapsto Efficiency=\dfrac{3}{5}\times 100[/tex]

[tex]\\ \sf\longmapsto Efficiency=60\%[/tex]

What is an object's acceleration that takes 550.0 meters to go from 6.0 m/s to
85.0 m/s?

Answers

from,

v² = u² + 2as

where s = distance

a = (v² - u²) /2s

a = (85² - 6²) /2*550

a = 6.53m/s²

Students are given the following information about a 2.0 kg, motorized toy boat on water. what net force is exerted on the boat from 4S to 8S?

Answers

The motorized toy boat experiences a net force of 0 N between 4 s and 8 s.

The motorized toy boat moves at 8 m/s (u) at 4 s and at 8 m/s (v) at 8 s. We can calculate the acceleration (a) in that period using the following kinematic expression.

[tex]a = \frac{v-u}{\Delta t} = \frac{8m/s-8m/s}{8s-4s} = 0 m/s^{2}[/tex]

The object with a mass (m) of 2.0 kg experiences an acceleration of 0 m/s². We can calculate the net force (F) in that period using Newton's second law of motion.

[tex]F = m \times a = 2.0 kg \times 0 m/s^{2} = 0 N[/tex]

The motorized toy boat experiences a net force of 0 N between 4 s and 8 s.

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Please help me! Today's Daily Question is:

What color is the sky when a volcano erupts?


I will give Brainliest to the correct answer, or whoever answers first. Have a great day or night.

Answers

Answer:

Red I'm pretty sure

Explanation:

Vocanic ash and sunsets. Volcanic eruptions can inject millions of tonnes of dust and gaseous sulfur dioxide into the stratosphere. ... The dust and aerosol produce vivid sunset and twilight effects like the intense yellow-red horizon and purple-pink glows of the photograph.

The sky is a Dark Black.

Explanation:

The smoke from the volcano fills the sky with black smoke

I will give brainliest

Which option works similarly to an ultrasound scanner?
O A. Echo
O B. Hand lens
O C. Rainbow
O D. Shadow

Answers

Answer:

A. an echo works similarly with an ultrasound scanner cos they both refract sound

Explanation:

hope it helps

Answer:

A. Echo

Explanation:

I took the quiz and got it right

напряженность поля в некоторой точке 0,8 кН/кл определите величину силы,с которой поле будет в этой точке действовать на заряд 2,5мкКл

Answers

Answer:

напряженность поля в некоторой точке 0,8 кН/кл определите величину силы,с которой поле будет в этой точке действовать на заряд 2,5мкКл 00

Biểu diễn những lực sau đây:

a. Trọng lực của một vật 300N ( tỉ xích 0.5cm ứng với 50N )

b. Lực kéo tác dụng vào điểm A của một vật có độ lớn 1500N theo phương nằm ngang, chiều từ trái sang phải ( 1cm ứng với 500N )

Answers

Answer:

Explanation:  HIII

Which statement about the universality of gravity is untrue?
a
The gravitational force between two objects depends only on their masses.
b
The gravitational force between two objects increases if the mass of one object increases.
c
The gravitational force between two objects increases if the distance between the objects decreases.
d
Any two objects that have mass also have a force of gravity acting between them, no

Answers

Answer:

Explanation:

See attachment.

a  NO - it depends on distance between the masses, also.

The gravitational force between two objects depends only on their masses.

b  YES - see attachment

The gravitational force between two objects increases if the mass of one object increases.

c. No - it decrease

The gravitational force between two objects increases if the distance between the objects decreases.

d. It appears the answer is incomplete (stops at . . ., no . . ).  Otherwise I say YES.

Any two objects that have mass also have a force of gravity acting between them, no

Calculate the following:
D = 35 m
T = 17 sec
V = ?

Answers

4.61 I believe
Hope it helps :)

can someone help please ​

Answers

Hi there!

We know that:

Potential energy = mgh, where:

m = mass

g = acceleration due to gravity

h = height

We know that ΔPE = mgΔh = 1.47 kJ, so:

1.47kJ = mgΔh

Remember to convert kJ to J for simplicity: (1 kJ = 1000J)

1470J = mgΔh

Rearrange to solve for Δh:

1470/mg = Δh

1470/(60 · 9.8) = 2.5m

bus slows down uniformly from 21 m/s to 0 m/s in 21 s. How far does it travel before stopping?

Answers

Answer:

1 hour = 3,600 seconds

1 km = 1,000 meters

75 km/hour = (75,000/3,600) m/s =  20-5/6 m/s

The average speed of the bus while it slows down is

                                   (1/2)(20-5/6 + 0) = 10-5/12 m/s .

Traveling at an average of 10-5/12 m/s for 21 seconds,

the bus covers

                         (10-5/12) x (21) =  218.75 meters .

do not own the answer

answer by (AL2006 from brainly)

A car starts from rest and retains the acceleration of 4m/s² in 20 second. calculate its final velocity.
step by step

Answers

Answer:

80m/s

Explanation:

[tex](acceleration)= \frac{(change \: in \: velocity)}{(change \: in \: time)}[/tex]

4 = v/20

V = 4 * 20

V = 80( final velocity)

Conservation of Momentum
No one likes you little trolls please send an actual answer

Answers

Hello!

This is an example of an inelastic collision, where the two objects "stick" to each other after their collision. (The Goalkeeper CATCHES the puck).

We can write out the conservation of momentum formula:

m1vi + m2vi = m1vf + m2vf

Let:

m1 = mass of puck

m2 = mass of the goalkeeper

We know that the initial velocity of the goalkeeper is 0, so:

m1vi + m2(0) = m1vf + m2vf

m1vi = m1vf + m2vf

The final velocities will be the same, so:

m1vi = (m1 + m2)vf

Plug in the given values:

(0.16)(40)/ (0.16 + 120) = vf ≈ 0.0533 m/s

Using the equation for momentum:

p = mv

The object with the LARGER mass will have the greater momentum. Thus, the Goalkeeper has the largest momentum as p = mv; a greater mass correlates to a greater momentum since the velocity is the same between the two objects. The puck would have a momentum of p = (.16)(0.0533) = 0.008528 kgm/s, whereas the goalkeeper would have a momentum of

p =  (120)(0.0533) = 6.396 kgm/s.

What is the mass of an object if it accelerates at 3 m/s? and has a force of
1 N?

Answers

Answer:

1 / 3 or 0.33

that is if you meant that the object accelerates at 3 m / s² not 3 m / s

for the unit of acceleration is m / s²

Explanation:

m = ?

a = 3

f = 1N

where;

m = mass ( kg )

a = acceleration ( m / s² )

f = force ( N )

from all the parameters we are given, we can use Newton's second law of motion to solve it

that is;

a = f / m

to make m the subject of the formula, we have to cross multiply to give us;

m( a ) = f

divide through by a to give us;

m ( a ) / a = f / a

therefore,

m = f / a

so, we substitute our values to give us;

m = 1 / 3

therefore. m = 1 / 3 or 0. 33

hope this helps

thank you!!!!

4. What is the purpose of the corneal reflex?​

Answers

to protect the eyes from foreign bodies and bright lights

pls need an answer asap

Answers

c] Electrons

Electron gets transferred

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