How is the momentum conversation connected to Newton's Second Law? Why is an external force important here?

How are the conservation of momentum and Newton's Third Law connected? How can they really say the same thing?

Answer:

The downward force on the top of the horizontal square area can be found using the formula:

force = pressure x area

Given that the atmospheric pressure is 15 lb/in^2 and the square area is 5 inches on each side, the area can be calculated as:

area = length x width

= 5 inches x 5 inches

= 25 square inches

Substituting the values in the formula, we get:

force = 15 lb/in^2 x 25 square inches

= 375 lb

Therefore, the corresponding downward force on the top of the horizontal square area is 375 pounds.

In this case, the body has a mass of  [tex]3.0[/tex] kg and is moving with a velocity of [tex]10 m/s[/tex].  the moment of the body is  [tex]30 kg m/s.[/tex]

The moment of a body (also known as its momentum) is defined as the product of the body's mass and velocity.

In this instance, the body weighs  3.0  kilogrammes and is travelling at a speed of 10 m/s.

The formula to calculate the moment of the body is:

momentum = mass x velocity

Plugging in the given values, we get:

momentum [tex]= 3.0 kg \times 10 m/s[/tex]

Solving the above expression, we get:

momentum = [tex]30 kg m/s[/tex]

Therefore, the moment of the body is [tex]30[/tex] kg m/s.

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The type of wave interaction that occurs when light enters a new medium, changes speeds, and bends, creating optical illusions like the one shown, is called refraction.

Refraction is the bending of light as it passes through a medium with a different refractive index. The refractive index is a measure of how much a material can slow down the speed of light passing through it. When light travels from one medium to another, such as from air to water or from water to glass, its speed changes and it bends as a result of the change in the refractive index.

This bending of light is what causes objects to appear shifted or distorted when viewed through lenses or other transparent materials. Refraction is also responsible for many optical phenomena, such as mirages, rainbows, and the dispersion of white light into its component colors.

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Indeed, a magnetised object with a north and south pole can be seen in the above photograph.

Any object that creates a magnetic field of its own and interacts with other magnetic fields is a magnet. A magnet has two poles, the north pole and the south pole. Field lines that begin at the north pole and end at the south pole of a magnet are used to show the magnetic field.

When hanging in the magnetic field of the Earth, a bar magnet automatically points northward and southward. A north magnetic pole is any pole that seeks the north, such as the north-seeking pole of this type of magnet.

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The average force is equal to the area under the curve of force versus time divided by the time of contact between the hammer and the nail.

The equation can be used to determine the average force the nail applies to the hammer.

[tex]F = \frac{mv}{t}[/tex], where m is the hammer's mass, v is its speed, and t is the time at which it made impact with the nail. The average force in this situation is given by:

[tex]F = \frac{(2.5 kg)(6 m/s - 2.0 m/s)}{(0.002 s)}\\ F= 4500 N.[/tex]

To solve this problem using force vs. time, you would need to plot a graph of force versus time, with the time of contact between the hammer and the nail representing the x-axis and the force exerted on the hammer by the nail representing the y-axis. The force exerted on the hammer increases from 0 to 4500 N as the hammer moves from rest to its maximum velocity. The average force is equal to the area under the curve of force versus time divided by the time of contact between the hammer and the nail.

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.

For Part A, we can use the formula Q = mc(T'f - Ti) to calculate the energy required to raise the temperature of the water. Here, Q is the energy required, m is the mass of the water, c is the specific heat capacity of water at 20°C and 1 atm (4.184 J/g°C), T'f is the final temperature (21.6°C), and Ti is the initial temperature (11.2°C).

First, we need to find the mass of the water. Since density = mass/volume, we can rearrange the formula to get mass = density * volume. Plugging in the given values, we get:

mass = (998 kg/m^3) * (4.80 x 10^11 m^3) = 4.79 x 10^14 kg

Now, we can plug in the values into the formula above:

Q = (4.79 x 10^14 kg) (4.184 J/g°C) (21.6°C - 11.2°C) = 2.02 x 10^19 J

Therefore, it would require 2.02 x 10^19 J of energy to raise the temperature of Lake Erie from 11.2°C to 21.6°C.

For Part B, we can use the formula P = E/t to calculate the time required to supply the energy using a power of 1,400 MW. Here, P is the power in watts, E is the energy required in joules (which we found in Part A), and t is the time in seconds. Since we want the time in years, we can convert from seconds to years at the end by dividing by the number of seconds in a year (31,536,000 s).

First, we need to convert the power from MW to W:

P = 1,400 MW * (10^6 W/MW) = 1.4 x 10^9 W

Now, we can rearrange the formula to solve for t:

t = E / P = (2.02 x 10^19 J) / (1.4 x 10^9 W) = 1.44 x 10^10 s

Converting from seconds to years, we get:

t = 1.44 x 10^10 s / 31,536,000 s/year = 456.7 years (rounded to three significant figures)

Therefore, it would take approximately 457 years to supply the energy needed by using a power of 1,400 MW generated by an electric power plant.

Answer:

The answer to your problem is, The change in temperature required is ΔT = ΔV/Vγ

Explanation:

ΔT = ΔV/Vγ

ΔV = 49 - 40 = 9cm

V = 40 cm

γ is unknown since it cannot be calculated due to error in values.

Thus the answer to your problem is, The change in temperature required is ΔT = ΔV/Vγ

Answer:

angle between A and B is approximately 76.8°

Explanation:

Using the cosine law, we can find the magnitude of the resultant vector R:

R^2 = A^2 + B^2 - 2ABcosθ

where θ is the angle between A and B, which can be found using the sine law:

sinθ/8m = sin60°/18m

θ ≈ 43.2°

Substituting the given values into the cosine law:

R^2 = (18m)^2 + (8m)^2 - 2(18m)(8m)cos(43.2°)

R ≈ 19.4m

The angle between R and A can be found using trigonometry:

tanθ = 8m/18m

θ ≈ 24.4°

Therefore, the angle between R and A is approximately 24.4°, and the angles between A and B and between B and R can be found using the fact that they form a triangle:

180° - 60° - 43.2° = 76.8°

Therefore, the angle between A and B is approximately 76.8°, and the angle between B and R is approximately 60° - 76.8° = -16.8° (because B is above the horizontal).

The area of the input and load piston is [tex]7.07 cm^2[/tex] and [tex]452.16 cm^2[/tex], the ratio of the area of the load to the input piston is 63.95, the weight of the car is 16,660N, the force must be applied to the input is 260.15N.

Given the diameter of hydraulic jack (d1) = 3cm

The diameter of load piston of jack (d2) = 24cm

The mass of jack that is being used to lift a car (m) = 1700 kg.

We know that pressure is calculated as force per unit area such that: P = F/A where F is force applied and A is area

(a)Let  The area of the input piston is = A1

Then [tex]A1 = \pi r1^2 = \pi * (d1/2 cm)^2 = \pi * (1.5)^2 = 7.07 cm^2.[/tex]

Let The area of the load piston is = A2

Then [tex]A2 = \pi r2^2 = \pi * (d2/2)^2 = \pi * (12 cm)^2 = 452.16 cm^2.[/tex]

(b) The ratio of the area of the load to the area of the input piston = A2/A1

ratio = 452.16 / 7.07 = 63.95

(c) The weight of the car in newtons is W = mg

[tex]W = 1700 kg * 9.81 m/s^2 = 16,660N.[/tex]

(d) The force must be applied to the input piston to support the car = F1

The force applied at the load piston = F2 = W

We know that pressure exerted at both ends of piston is same, so P1 = P2 such that P1 = F1/A1 and P2 = F2/A2

F1 = F2 * A1/A2 = 16,660/63.95 = 260.15N

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Answer:

Time Travel Machine

Explanation:

The Hubble Space Telescope can look at galaxies that are many light years away. If it captured an image of a star that was 5 light years away, then that means it took light 5 years to reach the lens of the telescope. So, the image we see is what that star looked like 5 years ago. In other words, it is a glimpse of the past.

Ionic bonds bond ions together through their electric attraction to each other due to their opposite electrical charges.

In an ionic bond, one ion (typically a metal) loses one or more electrons and becomes a positively charged cation, while another ion (typically a nonmetal) gains one or more electrons and becomes a negatively charged anion. The opposite charges of the ions then attract each other, creating an ionic bond between them.

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Hello and regards emmateddyafton94.

The acceleration of the lizard that has speeds between 2 m/s and 10 m/s, in a time of 4 seconds, is 2 m/s².

It is an exercise in rectilinear motion uniformly accelerated (MRUA) is a type of movement in a straight line in which an object moves with a constant acceleration. This type of movement is common in everyday life, such as when an object falls due to the force of gravity or when a car moves in a straight line and accelerates at a constant speed.

In the MRUA, the speed of the object changes at a constant rate in each unit of time. This means that acceleration is the amount of change in velocity that occurs in each second, and it is constant throughout the motion. Acceleration is measured in units of length per unit of time squared (for example, meters per second squared).

The fundamental formula of the MRUA is:

Where:

We now know that the data is:

But since they are asking us to calculate the acceleration, we clear the formula:

Where:

This formula shows that the acceleration is equal to the difference between the final velocity and the initial velocity of the object, all divided by the elapsed time. It is important to note that final velocity and initial velocity must be in the same units (for example, meters per second) and that time must be in units of time (for example, seconds).

We substitute data in the formula, and calculate the acceleration:

a = (Vf - V₀)/t

a = (10 m/s - 2 m/s)/(4 s)

a = 2 m/s²

The acceleration of the lizard that has speeds between 2 m/s and 10 m/s, in a time of 4 seconds, is 2 m/s².

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Answer:

The lizard's average acceleration is 2 m/s².

Explanation:

The average acceleration of the lizard can be calculated using the formula:

[tex]\sf\qquad\dashrightarrow a = \dfrac{(V_f - V_o)}{t}[/tex]

where:

Plugging in the given values, we get:

[tex]\sf\qquad\dashrightarrow a = \dfrac{(10\: m/s - 2\: m/s)}{4\: sec}[/tex]

[tex]\sf\qquad\dashrightarrow a = \boxed{\bold{\:\:2\: m/s^2\:\:}}[/tex]

Therefore, the lizard's average acceleration is 2 m/s².

6.25 coulombs of charge is passing through a circuit providing electricity for a 120 V light bulb if it uses 300 J of energy.

When placed in an electromagnetic field, the physical property of matter known as electric charge causes matter to feel a force. A positive or negative electric charge can exist. (commonly carried by protons and electrons respectively, by convention). Like charges repel one another, while unlike charges draw one another. A neutral substance is one that does not have any net charge. Classical electrodynamics refers to early understanding of how charged substances interact, and it is still accurate for problems that do not require consideration of quantum effects.

Electric charge is a conserved characteristic; the net charge of an isolated system, which is the sum of positive and negative charges, cannot change. Subatomic particles carry electric energy. Negative charge in ordinary substance.

Calculate the amount of time that the energy is used.

[tex]\frac{300 J}{120 V}[/tex]= 2.5 seconds

Calculate the current running through the circuit.

Current = Power / Voltage = [tex]\frac{300W}{120V}[/tex]= 2.5 Amps.

Calculate the charge passing through the circuit.

Charge = Current x Time

= 2.5 Amps x 2.5 seconds

= 6.25 Coulombs of charge.

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When two vectors of magnitudes 16.3 m and 7.7 m are combined at an angle of 137.8 degrees, the resultant is equivalent to 23.87 metres.

The adjacent sides drawn from a point can be used to indicate the magnitude and direction of two vectors acting concurrently at a point.

7.7 m in size, with vector 1 pointing at the x-axis at a 27.8 degree angle.

vector 2 of magnitude 16.3 m, 20 degrees off the negative y plane.

Using the law of parallelogram vector addition

i.e.

resultant vector = √((v₁) ² + (v₂) ² + 2 × v₁ × v₂ × cos (angle between two vectors))

substituting given value in parallelogram vector addition we get,

resultant vector = √ (570)

resultant vector = 23.87 meters

As a consequence, the product of the two vectors, which have magnitudes of 16.3 metres and 7.7 metres and an angle of 137.8 degrees, is equal to 23.87 metres.

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Question:

Find the direction of the sum

of these two vectors:

16.3 m

7.70 m

20.0°

magnitude (m)

A 27.8°

A schematic diagram is a graphical representation of an electrical circuit, showing the arrangement of components and their connections.

The lines connecting the components in the schematic diagram represent wires or conductive paths.

The direction of the arrows and the polarity of the symbols indicate the direction of the flow of electrical current. The schematic diagram helps engineers and technicians understand the circuit and troubleshoot problems.

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In a tractor pull, a tractor put 250,000 J of work into pulling a large mass. The tractor pulls the mass using 98,000N of force. The tractor pulled the mass to a distance of 2.55 meters

We may use the work done formula to solve this problem:

Work = Force  x Distance x Cosine (angle between force and displacement)

Yet, because the force and displacement are applied in the same direction, the angle between them is zero, and the cosine of zero is one. As a result, we may reduce the formula to:

Work = Force x Distance

Because we know the work done is 250,000 J and the force exerted is 98,000 N, we can rewrite the formula to solve for distance:

Distance = Work / Force

Distance = 250,000 J / 98,000 N

Distance = 2.55 meters

As a result, The tractor pulled the mass to a distance of 2.55 meters

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The magnitude of the magnetic field is 1.50 x 10^-3 T.

The force on a charged particle moving through a magnetic field is given by the equation:

F = qvB sin(theta)

where F is the force, q is the charge on the particle, v is the velocity of the particle, B is the magnetic field strength, and theta is the angle between the velocity vector and the magnetic field vector.

In this case, the electron is moving in a circular arc, which means that the force on the electron is directed inward toward the center of the circle, and is equal to the centripetal force:

F = mv^2 / r

where m is the mass of the electron, v is the velocity of the electron, and r is the radius of the circular arc.

We can equate these two forces and solve for the magnetic field strength:

mv^2 / r = qvB sin(theta)

Simplifying and rearranging:

B = mv / (qr) * 1/sin(theta)

To find the velocity of the electron, we can use the equation for the kinetic energy of a charged particle:

KE = 1/2 mv^2 = qV

where KE is the kinetic energy of the electron, q is the charge on the electron, and V is the potential difference that the electron was accelerated through.

Solving for v:

v = sqrt(2qV/m)

Plugging in the given values:

V = 20,000 V

m = 9.11 x 10^-31 kg

q = -1.6 x 10^-19 C

v = sqrt(2(-1.6 x 10^-19 C)(20,000 V) / 9.11 x 10^-31 kg) = 2.43 x 10^7 m/s

Now we can plug in the values for m, q, v, r, and theta (which is 90 degrees since the velocity vector is perpendicular to the magnetic field vector) to find the magnetic field strength:

B = (9.11 x 10^-31 kg)(2.43 x 10^7 m/s) / ((-1.6 x 10^-19 C)(0.12 m)) * 1/sin(90 degrees) = 1.50 x 10^-3 T

Therefore, the magnitude of the magnetic field is 1.50 x 10^-3 T.

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The amount of work done is 15,000 J if an automobile pulls a truck with a force of 1500 N and the truck travels 10 meters in 15 seconds. One kW or 1,000 W is the power.

A force's work is indicated by:

Fdcosθ = W

d is the distance moved in the direction of the force, F is the force's magnitude, and is the angle between the force and the displacement.

W = 1500 N x 10 m x cos(0°), which equals 15,000 J.

The amount of work is 15,000 J.

P = W/t

P = 15,000 J / 15 s = 1,000 W

One kW or 1,000 W is the power.

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The resultant  wave is the combination of the two waves as we see in option A

A resultant wave is a wave that is formed when two or more waves interact with each other. When waves meet, they can interfere constructively, destructively, or somewhere in between, depending on their amplitude, phase, frequency, and direction. The resulting wave that emerges from this interaction is called the resultant wave.

The nature of the resultant wave depends on the type of interference that occurs between the waves. If the waves are in phase and have the same amplitude, they will interfere constructively, resulting in a wave with a larger amplitude.

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To solve this problem, we can use conservation of energy. At the top of the hill, the can of cranberry sauce has gravitational potential energy given by:

U = mgh

where m is the mass of the can, g is the acceleration due to gravity, and h is the height of the hill. We can plug in the given values to get:

U = (2.6 kg)(9.81 m/s^2)(15 miles x 1609.34 m/mile) = 601266.8 J

At the bottom of the hill, all of this potential energy will be converted into kinetic energy:

K = (1/2)mv^2

where v is the velocity of the can's center of mass at the bottom of the hill. We can solve for v by equating K and U:

(1/2)mv^2 = mgh

Simplifying and solving for v, we get:

v = sqrt(2gh)

Plugging in the given values, we get:

v = sqrt(2 x 9.81 m/s^2 x 15 miles x 1609.34 m/mile) = 423.6 m/s

Therefore, the velocity of the can's center of mass at the bottom of the hill is 423.6 m/s.

Answer:

When a social position is accompanied by accepted patterns of behavior, it becomes a role. A role is a set of expectations and behaviors that are associated with a particular social position. For example, a doctor's role includes expectations such as providing medical care to patients, making diagnoses, and prescribing treatments. Similarly, a teacher's role includes expectations such as instructing students, grading assignments, and providing feedback on student progress. Roles are important in society because they help to create order and stability, and they allow individuals to understand their place in society and how they are expected to behave.

The average force on the first ball = - 272.8 N.

The average force on the second ball is 9,568 N, and it acts in the direction of its motion.

the principle of conservation of momentum, which states that the total momentum of a closed system remains constant if no external forces act on it. In this case, the two billiard balls can be considered as a closed system.

Let's define some variables:

m =  (mass of each ball)

v1 =  (initial velocity of the first ball)

v2 =  (final velocity of the second ball)

t = 250 μs = 0.00025 s (duration of the collision)

According to the conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision:

m * v1 = m * v2

Solving for v2, we get:

v2 = v1 * (m/m) = v1

This indicates that the second ball departs in the opposite direction of the first ball but with the same velocity. As a result, the system's total momentum is preserved.

The impulse-momentum theorem states that the impulse (change in momentum) is equal to the average force multiplied by the duration of the collision. We can use this to determine the average force on the first ball:

F1 * t = m * (v2 - v1)

Substituting the values we know, we get:

F1 * 0.00025 = 0.28 * (-8.6)

Solving for F1, we get:

F1 = - 272.8 N

The first ball's force is acting in the opposite direction of its initial velocity when the sign is negative.

To find the typical power on the subsequent ball, we can utilize a similar recipe:

F2 * t = m * (v2 - v1)

Substituting the values we know, we get:

F2 * 0.00025 = 0.28 * (v2 - 0)

Since we know that v2 = 8.6 m/s, we can solve for F2:

F2 = (0.28 * 8.6) / 0.00025

F2 = 9,568 N

Therefore, the average force on the second ball is 9,568 N, and it acts in the direction of its motion.

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The density of brass is approximately 8300 kg/m³.

What is density ?

To find the density of brass, we need to first determine the total mass and volume of the mixture.

Let's assume that we have 1 cubic meter of zinc (since the exact volume is not given, we can use any convenient value as long as we are consistent with units).

The mass of this zinc would be:

mass_zinc = density_zinc * volume_zinc = 7100 kg/m³ * 1 m³ = 7100 kg

Since we are adding twice the volume of copper, we have 2 cubic meters of copper.

The mass of this copper would be:

mass_copper = density_copper * volume_copper = 8900 kg/m³ * 2 m³ = 17800 kg

The total mass of the mixture would be:

mass_total = mass_zinc + mass_copper = 7100 kg + 17800 kg = 24900 kg

The total volume of the mixture would be:

volume_total = volume_zinc + volume_copper = 1 m³ + 2 m³ = 3 m³

Finally, we can calculate the density of brass:

density_brass = mass_total / volume_total = 24900 kg / 3 m³ ≈ 8300 kg/m³

Therefore, the density of brass is approximately 8300 kg/m³.

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Answer:

through space and through the earth's atmosphere to the earth's surface.

Explanation:

The heat source for our planet is the sun. Energy from the sun is transferred through space and through the earth's atmosphere to the earth's surface. Since this energy warms the earth's surface and atmosphere, some of it is or becomes heat energy.

energy is transferred from the sun thru radiation. the atmosphere keeps a large amount of the heat and UV rays from burning us into crisps

The given and calculated values: force_impact = (0 - 32,488.4 kg*m/s) / 1.34 s = -24,277.6 N The negative sign indicates that the force is in the opposite direction to the motion, which is consistent with the wreckage coming to a stop.

The negative sign informs us that the restoring force is acting in the direction that is opposed to the distortion. For instance, when a spring is stretched, the restoring force pulls in the opposite way. When a spring is compressed, the restoring force pulls against the compression's direction.

We employ the following formula to determine the power of friction:

f_friction = friction coefficient * normal force

normal force = (1460 kg + 2362 kg + 230 kg) * 9.8 m/s^2 = 38,496.4 N

So the force of friction is:

f_friction = 0.45 * 38,496.4 N = 17,323.4 N

momentum_before = (mass_Prius * velocity_Prius) + (mass_Nissan * velocity_Nissan)

Substituting the given values:

momentum_before = (1460 kg * 22.22 m/s) + (2362 kg * 0 m/s) = 32,488.4 kg*m/s

momentum_after = (mass_Prius + mass_Nissan + 230 kg) * velocity_final

Substituting the given values:

32,488.4 kg*m/s = (1460 kg + 2362 kg + 230 kg) * velocity_final

velocity_final = 11.06 m/s

To calculate the force of the impact, we use the formula:

force_impact = (momentum_after - momentum_before) / time

distance = √((11 m)² + (11 m / tan(39°))) = 14.86 m

Assuming the wreckage was traveling at a constant speed during the skid, we can estimate the time as:

time = distance / velocity_final = 1.34 s

Substituting the given and calculated values:

force_impact = (0 - 32,488.4 kg*m/s) / 1.34 s = -24,277.6 N

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Disaster recovery and cooperation are both benefited by cloud storage. It makes file sharing simple and guarantees that data is backed up and retrievable in the event of loss or damage.

Your documents and data are kept in a safe data centre off-site by a cloud provider. You are no longer required to update software, maintain the servers, or make sure the hardware is working properly.

To store data, including files, business data, videos, or photographs, cloud storage uses remote servers. Users use an internet connection to upload data to servers, where it is stored on a virtual machine on a physical server.

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Answer:

online medical

Explanation:

like COVID dieases technicians do online training

The magnitude of the force of friction acting on the boat is 245.25 N.

F = mg sin - kmg cos is the formula for the component of the total force down the slope.

The following algorithm can be used to determine the amount of friction the boat is experiencing:

F friction = friction coefficient * normal force

normal force=weight of the boat

=m *g

where m is the mass of the boat and g is the acceleration due to gravity (9.81 m/s²).

Therefore, the force of friction on the boat is:

F friction = μ * m * g

Substituting the given values, we get:

F friction = 0.500 * 50 kg * 9.81 m/s² = 245.25 N

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When 2750 J of heat are delivered to 85.45 g of iron, the resultant temperature change is 17.6 °C.

first rule. The law of conservation of energy has been thermodynamically modified to form the first law of thermodynamics. The conservation law states that energy can only be transformed from one form to another, not created or destroyed, which keeps the total energy of an isolated system constant.

q = mcΔT

where T is the temperature change, q is the heat energy, m is the mass, c is the specific heat capacity.

0.45 J/g°C is the specific heat capacity of iron. We can plug in the values given in the problem to find the temperature change:

q = mcΔT

2750 J = (85.45 g)(0.45 J/(g·°C))(ΔT)

ΔT = 17.6 °C

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Answer:

The momentum of the ball is 0.6225 kg/ms^-1

We are given that mass = 0.25 kg

                              force = 10 N

                              Time = 3 seconds

Momentum(p) = mv, where m is mass and v is velocity

First we need to find the final velocity, using the formula:-

   v = u+at, where v is final velocity, u is initial velocity, a is acceleration and t is time.

rearranging the formula, we first find acceleration:-

 a = (v-u)/t

substituting the values,

      a = v/t

a = (0.25kg*10N)/3 seconds

a = 0.83 m/s^2

Finding final velocity using the formula v = u+at

v = 0 + (0.83m/s^2*3 seconds)

v = 2.49 m/s

Finally, using the formula p=mv to find the momentum:-

p = 0.25kg*2.49m/s

p = 0.6225 kg m/s^-1

Thus the momentum is 0.6225 kg m/s^-1.

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