The specific heat of copper is 0.385 J/g·°C. What equation would you use to calculate the amount of heat needed to raise the temperature of 0.90 g of copper from 9°C to 26°C?

Answers

Answer 1

To determine the amount of heat energy (Q) needed to raise the temperature of 0.90 g of copper from 9°C to 26°C, you would use the formula:

Q = mcΔT
Where:

m is the mass of the copperc is the specific heat capacity of copperΔT is the change in temperature


So, Q = (0.90 g)(0.385 J/g°C)(26°C - 9°C)

By calculating the change in temperature (26°C - 9°C = 17°C) and plugging in the values, we get:
Q = (0.90)(0.385)(17)
Q = 5.8725 J

Therefore, it would take 5.8725 J of heat to raise the temperature of 0.90 g of copper from 9°C to 26°C.


Related Questions

A 1.0 kg object is attached to a string 0.50 m. It is twirled in a horizontal circle above the ground at a speed of 5.0 m/s.

The direction of the acceleration at the point shown points toward which letter? (5 points)


A

B

C

D

Answers

Answer: d

Explanation:

For an object to move in a uniform circular motion, only force that acts on it is the centripetal force which acts along the line joining the object and center of the circular path. The acceleration also acts in the direction of force. The centripetal acceleration acts along the radius of the circular motion path.

In the given horizontal circle, the direction of the acceleration of the object points towards d.

Answer:

D.

Explanation:

A suitcase had a width of 55 cm. Which unit conversion fraction should you use to find the width in inches?

A. 1 cm/2.54 in

B. 1 in/2.54 cm

C. 2.54 cm/1 in

D. 1 in/1 cm

Answers

The answer is B.

When you multiply 55 cm by 1in/2.54 cm, the unit cm cancels leaving only in.

55 cm is thus 21.654 in.


Answer:

B. [tex]\frac{1 in}{2.54 cm}[/tex]

Explanation:

Mary measures how far she can run in a given period of time .She is measuring her ?

Answers

Answer:

She is measuring her speed

Explanation:

Speed is defined as the ratio between the distance covered divided by the time taken to cover that distance:

[tex]v=\frac{d}{t}[/tex]

where

d is the distance covered

t is the time taken

Since Mary is measuring how far she can run in a given period of time, she is measuring the distance she can travel (d) in a given time (t), so she is measuring her speed.

How do the units of work and power compare?
The unit for work is a watt. The unit for power is a joule, which is a watt-second. The unit for work is a watt. The unit for power is a joule, which is a watt per second. The unit for work is a joule. The unit for power is a watt, which is a joule-second. The unit for work is a joule. The unit for power is a watt, which is a joule per second.

Answers

Power is work divided by time or in other words power is juels per second and work is juels

Answer: The unit of work is Joule and Unit for power is Watt which is equal to Joule per second.

Explanation: Work is defined as the unbalanced force which displaces an object. It is also defined as the energy consumed. The units of work is Joules.

Mathematically,

[tex]W=F.d[/tex]

Power is defined as the work done per unit time. The unit of power is Joules per second. The S.I. unit of this is Watt.

Mathematically,

[tex]Power=\frac{Work}{Time}[/tex]

Hence, The unit of work is Joule and Unit for power is Watt which is equal to Joule per second.

A spinning disc rotating at 130 rev/min slows and stops 31 s later. how many revolutions did the disc make during this time?

Answers

f = 130 revs/min = 130/60 revs/s = 13/6 revs/s
t = 31s
wi = 2πf = 2π × 13/6 = 13π/3 rads/s
wf = 0 rads/s = wi + at
a = -wi/t = -13π/3 × 1/31 = -13π/93 rads/s²
wf² - wi² = 2a∅
-169π²/9 rads²/s² = 2 × -13π/93 rads/s² × ∅
∅ = 1209π/18 rads
n = ∅/2π = (1209π/18)/(2π) = 1209/36 ≈ 33.5833 revolutions.

A spinning disk with 130 rev/min will make 33.5833 revolutions in 31 seconds.

Initial angular velocity,

wi = 2π. f

Where, f - frequency = 130 rev/min = 13/6 rev/s

Thus,

wi = 2π × 13/6

wi = 13π/3 rads/s

Final  angular velocity,

wf = 0 rads/s = wi + at

From acceleration,

a = -wi/t

Where,

a - acceleration

t - time = 31s

So,

t = -13π/3 × 1/31

t = -13π/93 rads/s²

From relation between Tangential velocity and Angular velocity,

wf² - wi² = 2a∅

Where, is the Tangential velocity

Thus,

-169π²/9 rads²/s² = 2 × -13π/93 rads/s² × ∅

∅ = 1209π/18 rads

Thus, the the number of rotations,

n = ∅/2π

n = (1209π/18)/(2π)

n = 1209/36

n  = ≈ 33.5833 revolutions.

Therefore, the disc make 33.5833 revolutions in 31 seconds.

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A force of 1 newton will cause a mass of 1 kg to have an acceleration of 1 m/s^2. If a force of 5 newtons is applied to a mass of 5 kg, what will be its acceleration?
A.) 1 m/s^2
B.) 25 m/s^2
C.) 5 m/s^2
D.) 0.20 m/s^2

Answers

For any force and any mass, the acceleration is always

(the strength of the force) divided by (the mass) .

If a force of 5 newtons is applied to a mass of 5 kg, the acceleration will be

(5 Newtons) / (5 kg) = 1 m/s²

Final answer:

When a force of 5 newtons is applied to a mass of 5 kg, the acceleration is A.) 1 m/s², as per Newton's second law. This is obtained using the formula a = F/m.

Explanation:

The question is asking us to calculate the acceleration of a mass when a certain force is applied to it. According to Newton's second law of motion, the force applied to an object (F) is equal to the mass of the object (m) multiplied by the acceleration of the object (a), which can be expressed with the equation F = m * a.

Using this equation, if a force of 5 newtons is applied to a mass of 5 kg, the acceleration (a) can be calculated as follows: a = F/m = 5 N / 5 kg. Therefore, the acceleration would be 1 m/s², which corresponds to option A.) 1 m/s²

If an atom has two electrons outside of its nucleus, what number of protons and neutrons must be contained in the nucleus to result in a neutral atom

Answers

Answer: 2 protons and 2 neutrons.

Explanation: this means that it contains 2 negatively charged elections and 2 positively charged protons which cancels each other to make the atom electrically neutral.

The Port Authority is thinking about dredging the harbor to make it deeper for large ships. Before they do this, they hire a team of environmental scientists and engineers to study the impact of this project. Which statement best explains why this study is important?

Answers

Out of the following given choices;

A) It is always difficult to get a project like this approved. This study will help them convince the local community to support the project.

B) If they do not perform the study, and there is a problem during the dredging project, the media could make them look bad.

C)The study will weigh the benefits against the negative impacts so an informed decision can be made.

D)The study will demonstrate the local government's concern for the community's safety.


The answer is; C

Dredging can have a negative impact on the marine environment. Destruction of this ecosystem could have reverberating effects that affect the communities that rely on this ecosystem for livelihoods, such as fishermen. An environmental and feasibility study will help weigh the benefits and demerits of the project and allow for an informed decision to be made.  


Answer:

I believe the answer Is C

Explanation:

I got it right on my test

What is similar for elements located next to one another anywhere on the periodic table?
a. chemical characteristics

b. physical state

c. mass

d. reactivity with oxygen

Answers

the answer is mass AND CAN BE SEEN IF YOU STUDY PERIODIC TABLE

Answer:

c. mass  

Explanation:

Chemical elements placed in a tabular form according to their atomic number is known as periodic table.

The elements located next to one another in a periodic table have similar mass. In a period, the mass number of adjacent element varies by very few atomic mass. For example, Potassium and calcium are placed adjacent to each other. Potassium has atomic mass: 39.10 u and calcium has 40.08 u. Similarly, Vanadium has atomic mass 50.94 u and Chromium has atomic mas 52.00 u lie adjacent to each other.

Hot air balloon rises because a) molecules become lighter when heated b) molecules move faster and farther apart when heated c) molecules are less attracted by gravity when heated d) molecules become charged and repel each other when heated

Answers

Answer:

a. molecules become lighter when heated

Reason:

Here, a very simple scientific principle involved, that is hot air rises.When the air is heated, the density of air decreases, this causes the balloon to raise simply, because it is lighter than, an equal volume of cold air surrounds it. . Also, we know that the buoyancy is an upward force,  that the air exerts a force, so that the hot air balloons fly in air.


Final answer:

Hot air balloons rise because the heated air inside the balloon is less dense than the cool air outside. This difference in density creates a buoyant force that causes the balloon to rise. The increase in temperature causes the molecules in the gas to move faster and spread apart, further decreasing the density and increasing the buoyancy.

Explanation:

Hot air balloons rise because the molecules in the heated air are less dense compared to the surrounding cool air. This decrease in density creates a buoyant force that causes the balloon to rise. As the temperature of the gas inside the balloon increases, the molecules move faster and farther apart, resulting in a decrease in density and an increase in buoyancy. The expansion of gases and the rapid motion of atoms and molecules in a gas also contribute to the balloon's ability to rise.

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The graph below shows the downloads of two songs over time. Which term describes the slope of the graph of song 2 between minute 14 and minute 15?

A. Negative
B. Zero
C. It is impossible to calculate
D. Positive

Answers

Answer:

B. Zero

Explanation:

Here the number of downloads between  minute 14 and minute 15 is 3000. The number does not increase or decrease so the slope is zero.

The slope of line between two points (x₁, y₁) and (x₂, y₂) is given by

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]m=\frac{30-30}{15-14}\\\Rightarrow m=\frac{0}{1}=0[/tex]

The slope of a function is given by the differential of the function.

If the current in a wire increases from 5 A to 10 A, what happens to its magnetic field? If the distance of a charged particle from a wire changes from 10 cm to 20 cm, what happens to its magnetic field? If the charge of a particle changes from 2 µC to –2µC, what happens to the force exerted on that particle?

Answers

1. The magnitude of the magnetic field doubles

Explanation: the intensity of the magnetic field produced by a current-carrying wire is given by:

[tex]I=\frac{\mu_0 I}{2 \pi r}[/tex]

where [tex]\mu_0[/tex] is the vacuum permeability, I is the current in the wire, r is the distance from the wire.

As we see from the formula, the intensity of the magnetic field is directly proportional to the current: if the current increases from 5 A to 10 A, it means it doubles, so the magnetic field doubles as well.

2. The magnitude of the magnetic field halves

Explanation: the intensity of the magnetic field produced by a current-carrying wire is given by:

[tex]I=\frac{\mu_0 I}{2 \pi r}[/tex]

We see that the magnitude of the magnetic field is inversely proportional to the distance from the wire (r). In this case, the distance of the particle is changed from 10 cm to 20 cm, so it is doubled: therefore, the magnitude of the field will become half of the initial value.

3. The force reverses direction

Explanation: the force exerted on a charged particle in a magnetic field is:

[tex]F=qvB sin \theta[/tex]

where q is the charge, v is the speed of the particle, B is the magnetic field intensity and [tex]\theta[/tex] the angle between the direction of v and B. If the charge of the particle is switched from 2 µC to –2µC, the magnitude of the force does not change (because the absolute value of q does not change), however the charge q gets a negative sign (-), so the sign of the force changes and gets a negative sign too, so the force reverses direction.

(a) When the current increases from 5 A to 10 A, the strength of the magnetic field increases.

(b) When the distance  from the wire increases, the strength of the magnetic field decreases.

(c) When the sign of the charge changes and the magnitude is the same, the strength of the magnetic force will remain the same.

Magnetic field due to a distance from a wire

The magnetic field due to a distance from a wire is given as follows;

[tex]B = \frac{\mu_o I}{2\pi r}[/tex]

where;

I is current in the wirer is distance from the wire

Thus, when the current increases from 5 A to 10 A, the strength of the magnetic field increases.

Also, when the distance  from the wire increases, the strength of the magnetic field decreases.

Magnetic force on a charged particle

The magnetic force on a charged particle moving in a magnetic field is given as;

F = qvB

where;

q is the magnitude of the charge

The magnetic force considers the magnitude of the charge, thus when the sign of the charge changes and the magnitude is the same, the strength of the magnetic force will remain the same.

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Marie and Calvin dissolved 10 grams of KNO3 in 100 grams of water at 25oC. Next they added 5 grams more. Calvin told Marie that they could continue to add solute until they reached 40 grams because the solution was still A) saturated B) semisaturated C) supersaturated D) unsaturated

Answers

Because they have added another solution, it means that the mixture was not yet saturated, so the correct answer is unsaturated, D

Answer:  D) unsaturated

Explanation:

A) Saturated solution is defined as the solution in which no more solute particles can be dissolved in the solvent.

B) Semisaturated is defined as the solution in which half of the amount has been added and  another half has to be added for saturation.

C) Supersaturated solution is defined as the solution in which more amount of solute particles is present than the solvent particles.

D) Unsaturated solution is defined as the solution in which more solute particles can be dissolved in the solvent.

Suppose you want to separate the leaves,acorns,and twigs from a pile of soil. Filtration and distillation are two processes of seperating mixtures. Explain which process you would use and why.

Answers

Filtration is the process we can use here as distillation is done mostly in liquids and we can use distillation here to seperate the substances from the soil.

Answer:

Filtration

Explanation:

Hi, to have in mind:

The filtration is a physical process used to separate two or more components due to their different size of particule (or unit).

The destilation is a chemical process used to separate two or more componets due to the difference between their boiling points (usually used with liquids).

Being that said, by filtration you can separate the leaves, acorns and twigs from the soil.

Which of the statements best describes the relationship between the surface of an object and the amount of friction it produces?



A.) The smoother the surface of an object, the more friction it will produce.



B.) The softer the surface of an object, the more friction it will produce.



C.) The rougher the surface of an object, the more friction it will produce.



D.) The harder the surface of an object, the more friction it will produce.

Answers


C.) The rougher the surface of an object, the more friction it will produce.

think of sliding a rock on the street

What is evidence that the earth rotates on its axis?
How long does it take earth to rotate on its axis?

Answers

The South Pole is the other point where Earth's axis of rotation intersects its surface, in Antarctica. Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes, and 4 seconds with respect to the stars (see below).

Answer:

is 365 days. Because that will equal a year and when the sun goes around the earth one whole time it will be in a year.

Explanation:

i just did a teat, and im smart

The waters of a lake will be most layered in which season

A. winter
B. spring
C. summer
D. fall

Answers

Answer:

B. Spring

Explanation:

The waters of a lake will be the most layered in the spring because of the melting of the ice (which is just frozen water) and the direct heat going into the lake causing the warm water to rise up and the colder water to move further down, which creates even more layers.

Two teams are playing tug of war. The team on the right side is pulling with a force of 4332 N. The team on the left is pulling with a force of 4251 N. What direction will the rope move and why?

18PTS

Answers

As the greater force of tension (by 81N) is exerted by the team on the right the rope will move to the right.

The rope will pull to the right side. This will happen because the force of the right team is higher (4332 N) than the team on the left (4251 N). And if they need it the extra force would be 81 to the right.

During a demonstration of the graviton always force on falling objects to her class , Sarah drops an 11lb bowling bowl from the top of the science building. Determine distance the ball has traveled after falling for 1.0 second, ignoring air restance and given the gravitational acceleration of 9.8m/sec^2

Answers

Answer:

4.9 meters

Explanation:

We know that an 11 lb bowling bowl was dropped.

So we can say that the initial speed of the bowling ball is zero ,

the time taken by the bag to free fall is given as  t = 1.0 s; and

the acceleration of free fall is given as  a = 9.8 m/s[tex]^2[/tex].

So we will use the following equation to find the distance after falling fo 1 sec:

[tex]d=v_i*t+\frac{1}{2} at^2[/tex]

Substituting the given values to get:

[tex]d=0+\frac{1}{2} * 9.8 * 1^2[/tex]

[tex]d=4.9[/tex]

Therefore, the bowling ball will cover a distance of 4.9 meters when released from the top of the building.

Many military submarines are powered by on-board nuclear reactors. This type of energy source is favored because A. They can be converted into nuclear weapons at a moment's notice for use in wartime B. They can be easily replenished even when the submarine is submerged in deep waters C. They supply a lot of energy but do not take up a lot of space D. They are 100% efficient and do not produce any form of waste

Answers

The answer is; C

Nuclear reactors are small and lightweight (ratio of size to power generated) and provide energy reliably compared to other sources. They can carry their own weight by many folds ration. This is why they are also muted as the ideal source of energy in space exploration.


A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. if the box has the least possible surface area, find its dimensions. (in your answer leave a space between the number and the unit.) height = (include units)

Answers

The box has the square shape and thus its length, width and height all will be equal. The volume of a square  is the cube of its side where as sides are equal. Thus the length, width and height of the box is 3.17 m.

What is a square?

A square is geometry having all sided equal. Thus, its, length, breadth and height will be equal. Let a be the side of the square. Then the surface area of the square will be a².

The volume of a square is equal to the cube of the length of side. Thus if a being the side length, volume of the square box will be a³. Similarly volume of any geometry is the product of its length, breadth and height and it is expressed in m³ or cm³.

Given that the volume of the square box is 32 m³. Thus length of its side is calculated as:

a³ = 32

 a = ∛32

    = 3.17 m.

Hence, the dimension of the box is 3.17 m side with surface area  (3.17)² =10.09 m².

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Final answer:

The dimensions of the box with the least possible surface area are x = 2 meters (side length of the square bottom) and h = 8 meters (height).

Explanation:

To find the dimensions of the box with the least possible surface area, we need to optimize the proportions while keeping the volume constant. Let's denote the side length of the square bottom as x and the height of the box as h. The volume of the box is V = x²h, and we are given that V = 32 cubic meters. To minimize the surface area, we need to minimize the sum of the areas of all the sides.

The surface area of the bottom is x², the surface area of each of the vertical sides is 4xh (there are four sides), and the surface area of the top is also x². Therefore, the total surface area A in terms of x and h is A = x² + 4xh + x² = 2x² + 4xh.

To find the dimensions that minimize the surface area, we can use the volume equation V = 32 and solve for h in terms of x: h = 32/x². Substituting this expression for h into the surface area equation gives A = 2x² + 4x(32/x²) = 2x² + 128/x.

To minimize A, we can take the derivative of A with respect to x, set it equal to zero, and solve for x. The derivative of A with respect to x is dA/dx = 4x - 128/x². Setting this equal to zero gives 4x - 128/x² = 0. Multiplying through by x² gives 4x³ - 128 = 0.

Simplifying further, we have 4x³ = 128, so x³ = 32. Taking the cube root gives x = ³∛32 = 2 meters.

Finally, we can substitute this value of x back into the expression for h to find h = 32/(2²) = 8 meters. Therefore, the dimensions of the box with the least possible surface area are x = 2 meters (side length of the square bottom) and h = 8 meters (height).

Sandra moves 14 m in 2 minutes. What is Sandra’s average velocity (in m/s)?

Answers

There are 120 seconds in 2 minutes.

14m/120s = 0.12m/s

Oddly, that is not a choice available...

Yes but I'm not getting any answer that is listed. What section are you in? Is the motion something I'm unaware of?

Givens

d = 14 m

t = 2 * 60 = 120 seconds

Solution

d = r*t

14 m = r * 120 seconds

r = 14 / 120

r = 0.117 m/s

That m must mean something I'm not seeing.

If we're interested in knowing the rate at which light energy is received by a unit of area on a particular surface, we're really trying to figure out the
A. incandescence.
B. luminous flux.
C. illuminance of a surface.
D. luminous intensity.

Answers

Answer: C. illuminance of a surface.

a)  Incandescence:  The phenomenon of light emission by a body as a result of high temperature.

B. Luminous flux :  It is the quantity of the energy of the light emitted per second in all directions.

C. Illuminance of a surface :describes the quantity of light emitted by a light source or received at a surface.

D. luminous intensity : the quantity of visible light that a point source radiates in a given direction.

What is the force that opposes motion and can be found anytime two surfaces are in contact?

friction
momentum
net force
spring forces

Answers

It's friction, spring forces don't always exist, net force is just a sum of forces acting on a body and momentum is not a force.
Final answer:

Friction is the force that opposes motion and exists whenever two surfaces are in contact. It works to slow down or prevent motion, as seen when a book sliding across a table eventually stops.

Explanation:

The force that opposes the motion and can be found anytime two surfaces are in contact is known as friction. Friction is a resistance force that slows or prevents motion between two surfaces that are touching. For instance, if you slide a book across a table, it will eventually stop because of the frictional force between the book and the table's surface. It's also important to note that friction can come in several types, like static friction (friction that prevents an object from starting to move) and kinetic friction (friction that acts on moving objects).

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Determine whether each statement is a description of a physical property or a chemical property.

Sodium metal reacts vigorously with water to produce hydrogen gas.

physical

chemical
Steel is attracted to magnets.

physical

chemical

Answers

1. Sodium metal reacts vigorously with water to produce hydrogen gas.

Chemical. A chemical property can only be observed by changing the chemical identity of a substance.

2. Steel is attracted to magnets.

Physical. A physical property is is an aspect of matter that can be observed or measured without changing its chemical composition.

Answer:

chemical & physical

Explanation:

The force on an object is given by the equation F = ma. In this equation, F is the force, m is the mass, and a is the acceleration. Which answer shows this equation solved for mass?

A. m = Fa

B. m = m/F

C. m = a/F

D. m = F/a

Answers

I cannot eliminate B by any method but to say that you cannot manufacture an extra m in an equation. So B is wrong.

The original equation is F = m * aif you want m by itself, you must divide both sides of the equation by aF/a = m*a/a        Do the divisionF/a = m               the "a"s cancel.So D turns out to be the answer.

C divides only once side by F. It is an unbalanced operation

A does some sort of mathematical slight of hand. Good for magicians, bad for physics students. I don't know how A is justified. It's just wrong.

D <<< Answer

In order to determine mass, you would need to isolate m, in other words keep it alone (m =). However, it can be quite tricky at first glance to do this. Simply divide A by both sides to isolate the m.

F = Ma

M needs to be isolated.

Divide A by both sides to isolate M.

F/a = m

M = F/a

Answer:

D. m= F/a

During a race, a dragster is 200m from the finish line when something goes wrong and it stops accelerating. It travels at a constant velocity of 45 m/s for 3 seconds to try to finish the race. How far from the finish line is the dragster after 3 seconds?

Answers

Answer:

135 m

Explanation:

Speed = 45 m/s, time = 3 second

The formula for the distance is given by

Distance = speed x time = 45 x 3 = 135 m

Which explains the information needed to calculate speed and velocity?

Both require the total distance, but velocity also requires time and displacement.
Both require time, but velocity requires displacement and speed requires distance.
Speed requires displacement, while velocity requires distance.
Speed does not require time, while velocity does require time.

Answers

The second statement is the correct choice.  Don't make me type it out.

how can you use the periodic table to determine the average number of neutrons in element has even though the number of neutrons is not listed

Answers

The periodic table shows the atomic number ( # of protons) and average atomic mass (weight of protons and neutrons combined). You can subtract the number of protons from the atomic mass of that element to find number of neutrons.

Final answer:

To determine the average number of neutrons in an element, subtract the atomic number from the atomic mass listed on the periodic table. For elements with no stable isotopes, the number in square brackets is used for the most stable isotope. Note that the atomic mass is the average mass reflecting the mixture of isotopes found in nature.

Explanation:

To determine the average number of neutrons in an element using the periodic table, you can look at two quantities for each element: the atomic number and the atomic mass. The atomic number, which is the whole number listed with the element, represents the number of protons in the nucleus. The atomic mass (or mass number) is listed with a decimal and represents the average mass of all the isotopes of that element, taking into account the natural abundance of each isotope. It is effectively the average number of protons and neutrons combined.

To calculate the average number of neutrons, you would subtract the atomic number from the atomic mass. For elements with no stable isotopes (such as technetium, promethium, polonium, and those higher than atomic number 84), the mass number in square brackets indicates the mass of the most stable (often hypothetical) isotope. It is important to note that the atomic mass on the periodic table is usually not a whole number because it accounts for the average atomic mass of the naturally occurring isotopes.

A 0.500-kilogram cart traveling to the right on a horizontal, frictionless surface at 2.20 meters per second collides head on with a 0.800-kilogram cart moving to the left at 1.10 meters per second. What is the magnitude ofthe total momentum of the two-cart system after the collision?

Answers

Consider the motion towards right as positive and motion towards left as negative.

m₁ = mass of the cart moving to right = 0.500 kg

v₁ = initial velocity before collision of the cart moving towards right = 2.2 m/s

m₂ = mass of cart moving to left = 0.800 kg

v₂ = initial velocity before collision of the cart moving towards left = - 1.1 m/s

initial momentum of the system of carts before the collision is given as

P₁ = m₁ v₁ + m₂ v₂

P₁ = (0.500) (2.2) + (0.800) (- 1.1)

P₁ = 0.22 kg m/s

P₂ = momentum of system of carts after collision

As per conservation of momentum,

Momentum of system of carts after collision = Momentum of system of carts before collision

P₂ = P₁

P₂ = 0.22 kg m/s



The final momentum of the system before the collision is 1.02 kg-m/s.

Given data:

The mass of first cart is, m = 0.500 kg.

The initial velocity of first cart before collision is, u = 2.20 m/s.

The mass of another cart is, m' =0.800 kg.

The initial velocity of second cart before collision is, u' = -1.10 m/s. (Negative sign shows the opposite direction)

Use the conservation of linear momentum, which says that momentum of a system before collision is equal to the momentum of the system after the collision.

Total momentum before collision = Total momentum after collision

[tex]P_{i} = P_{f}\\\\mu+m'u' = P_{f}\\\\P_{f}=(0.500 \times 2.20)+(0.800 \times -0.100)\\\\P_{f}=1.02 \;\rm kg-m/s[/tex]

Thus, we can conclude that the final momentum of the system before the collision is 1.02 kg-m/s.

Learn more about the conservation of linear momentum here:

https://brainly.com/question/3920210

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