part a find the magnitude of the impulse delivered to a soccer ball when a player kicks it with a force of 1300 n . assume that the player's foot is in contact with the ball for 5.60×10−3 s .

Answers

Answer 1

To find the magnitude of the impulse delivered to the soccer ball, we need to use the formula: impulse = force x time

Plugging in the given values, we get:

impulse = 1300 N x 5.60×10−3 s
impulse = 7.28 Ns

Therefore, the magnitude of the impulse delivered to the soccer ball when the player kicks it with a force of 1300 N and the foot is in contact with the ball for 5.60×10−3 s is 7.28 Ns.

To find the magnitude of the impulse delivered to a soccer ball when a player kicks it with a force of 1300 N and the foot is in contact with the ball for 5.60×10^(-3) s, you can use the formula:

Impulse = Force × Time

Here, Force = 1300 N and Time = 5.60×10^(-3) s.

Now, simply multiply the given values:

Impulse = 1300 N × 5.60×10^(-3) s

Impulse ≈ 7.28 Ns

So, the magnitude of the impulse delivered to the soccer ball is approximately 7.28 Ns.

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Related Questions

Besides astronomy, what did copernicus study in school?

Answers

Besides astronomy, copernicus study paintings and mathematics in school of the university of krakow.

The basic ideas of Copernicus already appear in the 7 ’axioms’ of his first published work, the Commentariolus. These axioms were:

1. There is no single centre for all orbits in the universe.

2. The Earth’s centre is not the centre of the universe, but only of the lunar orbit.

3. The centre of the universe is near the sun.

4. The distance from the Earth to the sun is imperceptible compared with the distance to the stars.

5. The daily rotation of the Earth accounts for the apparent daily rotation of the stars, which themselves are immobile.

6. The apparent annual cycle of solar motion is caused by the Earth revolving round it once every year.

7. The apparent retrograde motion of the planets is caused by the motion of the Earth around the sun, and from which one observes the planets.

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If an object moves in a straight line direction that is northward, the only other direction that it can move is.

Answers

Due to its only being able to travel to and fro, if an item goes in a straight line northern, the only additional direction it may move is southward.

What is motion in a straight line?

Since linear motion consists of movement in one dimension in a straight line, also called as rectilinear motion, it may be analytically described only using just that spatial dimension.

The two forms of linear motion are non-uniform motion with changing velocity and non-zero acceleration.

Uniform linear motion is defined by a constant speed or no acceleration. A person moving linearly would sprint 100 m on a smooth path.

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POGIL - Energy of Option: The Effect of Mass and Speed (Student PS Activity 10) Answer key

Answers

Although mass does not directly affect speed, as an object's speed increases, so does its mass. The term "mass" refers to a thing's total amount of energy. Thus, we draw the conclusion that while a particle's mass increases with speed, its charge stays constant.

What is mass?

A thing's mass is the total amount of stuff or substance that constitutes it. The measurement unit is the kilogramme, also written as kg. It's important to remember that mass is distinct from weight. Mass never changes, whereas weight fluctuates as the centre of gravity shifts. The best way to understand mass is to think about how much matter each object or body is made up of. Everything that we can see has mass.

How do we measure mass?

A balance is used to determine an object's mass for the majority of commonplace objects. The balance compares the target object to a known mass object. Digital scientific balances and beam balances, like a triple beam balance, are examples of several sorts of balances.

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The energy in the nucleus of atoms produce heat which Can be used to generate which energy ​

Answers

Nuclear energy is the energy in the nucleus, or core, of an atom. Nuclear energy can be used to create kinetic energy or electricity, but it must first be released from the atom.

What produces heat in Nuclear energy?

Nuclear energy originates from the splitting of uranium atoms – a process called fission. This generates heat to produce steam, which is used by a turbine generator to generate electricity. Because nuclear power plants do not burn fuel, they do not produce greenhouse gas emissions.

What are main uses of Nuclear energy?

Some primary uses of nuclear energy are- Space Exploration, Nuclear energy provides nearly 20% of electricity in many countries like United States, Medical Diagnosis and Treatment, Criminal Investigation and Agriculture.

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A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. Friction is not negligible.

Answers

A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. Weight (W), the normal force( N), and the tension force( T )in the string will all be forces operating on the box.

How does tension force work?

The force transmitted through a rope, string, or wire while opposing forces pull it is referred to as the tension force.

Energy is drawn equally from both ends by the tension force, which is exerted along the entire length of the wire.

A box is being dragged across the floor at a constant speed by a horizontally pulling rope. Friction has a big impact.

As a result, the weight W, normal force N, and tension force T in the string will all be acting on the box.

Your question is incomplete but most probably your full question was

A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. identify all the forces acting on the box.

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PLEASE HELP

Johannah wants to know the spring constant of her bow. She created the graph shown by measuring the force required to stretch her bow to various displacements.
If this specific bow is stretched 40 cm to shoot an arrow that has a mass of 20 grams,

Answers

The spring constant of the bow is 0.49 N/m.

What is the spring constant of the bow?

The spring constant of the bow is calculated by applying Hooke's law, which states that force applied to an elastic material is directly proportional to the extension of the material.

F = kx

k = F / x

where;

F is the applied forcex is the extension of the materialk is the spring constant

k = ( mg ) / x

where;

m is the mass suspendedg is acceleration due to gravity

K = ( 0.02  kg x 9.8 m/s² ) / ( 0.4 m )

K = 0.49 N/m

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PLEASE ANSWER!! 1A. Volcanic eruptions are caused by ________.


A
increasing temperature in the Earth’s mantle.

B
the build-up of heat, energy, and pressure underground.

C
the movement of tectonic plates.

D
magma chambers turning to rock.

Answers

Answer: B

Explanation:

As gas bubbles accumulate, the upward pressure increases, forcing cracks in the rocks to widen, often in the direction of Earth's surface. For magma to erupt from a volcano, this upward pressure must exceed the downward pressure that is exerted by the eight-kilometer (five mile) thick load of rock overhead.

A 8. 43-newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?(1 point).

Answers

Answer:

8.74 m

Explanation:

W = FΔx

376 = 43(Δx)

8.74 = Δx

Hey there everyone!

_____________________________________________________

Answer:

So, if you have the following to choose from:

O 368 m

O 44.6 m

O 384 m

O 3170 m

44.6 m (aka. Option B) is correct.

_______________________________________________________

Step By Step Explanation:

1. F = 8.43 N

2. W = 376 J

3. W = F x d

4. 376 J = 8.43 N × d

5. d = 44.6 m ← Our Final Solution

_______________________________________________________

Hope this helps! If you still need help on this, feel free to check out the flash cards I made below.

h t t p s : / / q u i z l e t . c o m / 7 6 4 3 6 7 9 6 0 / p h y s i c a l - s c i e n c e - 2 2 - f o r c e - a n d - w o r k - r e l a t i o n s h i p s - f l a s h - c a r d s / ? n e w

A spring with a spring constant of 2.00N/m applies a force of 0.500N when it is compressed. How much was the spring compressed?

Answers

0.125 was compressed

ApplyStreets A and L run parallel to each other. BoulevardN forms a 75° angle with Street L south of (below) theirintersection. What angle does Boulevard N make withStreet L north of (above) their intersection? Justifyyour answer.

Answers

The angle that Boulevard N makes with Street L north of their intersection is also 75°.

What is intersection?

Intersection is a point where two or more lines, curves, surfaces, or objects meet or cross each other. It is a common concept in mathematics, engineering, and everyday life. In mathematics, an intersection is a point where two or more sets of objects meet. In engineering, an intersection is a point where two or more roads, railways, or other transportation routes meet. In everyday life, an intersection is a point where two or more paths, streets, or other routes meet. Intersections are important in transportation, as they are the points where vehicles can change direction or turn around. Intersections are also important in mathematics, as they are the points where two or more lines, curves, or surfaces meet.

This is because the angle formed by two parallel lines is always equal. Since A and L run parallel to each other, the angle formed by Boulevard N and Street L south of their intersection is equal to the angle formed by Boulevard N and Street L north of their intersection. Therefore, the angle that Boulevard N makes with Street L north of their intersection is also 75°.

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19 kg rock 8m above ground what is potential energy of the rock

Answers

Answer:

1489.6 Joules

Explanation:

Potential Energy:

[tex] \displaystyle{\text{PE} = mgh}[/tex]

m is mass (kg), g is acceleration due to gravity which is 9.8 m/s² (some people use 10 m/s² which is acceptable) and h is height. Hence, substitute in known values:

[tex] \displaystyle{\text{PE} = 19 \times 9.8 \times 8} \\ \\ \displaystyle{\text{PE} =1489.6 \: \text{J}}[/tex]

Hence, the potential energy is 1489.6 Joules

The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The heat capacity of a certain substance has been measured to be. Suppose of the substance are heated until the temperature of the sample has changed by. Write an equation that will let you calculate the heat that was needed for this temperature change. Your equation should contain only symbols. Be sure you define each symbol.

Answers

An equation that will let you calculate the last Q that was needed for this temperature change is Q = MCΔT.

The following formula can be used to determine how much heat is required to cause a change in temperature:

Q = MCΔT

Where:

The required heat, Q, is expressed in joules (J).

M is the substance's mass, expressed in grams (g)

C is a substance's specific heat capacity expressed in J/g°C.

T is the change in temperature expressed in degrees celsius (°C).

As a result, we can determine how much heat is required to change the temperature as follows:

Q = MCΔT

Q = 420 x 3.52 x 43.8

Q = 64753.92 J

Thus, 64753.92 J of heat are required to change the temperature.

Your question is incomplete but most pprobably your full question was

The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The specific heat capacity of a certain substance has been measured to be 3.52 J/g °C. Suppose 420.0 g of the substance is heated until the temperature of the sample has changed by 43.8 °C.

Write an equation that will let you calculate the last Q that was needed for this temperature change. Your equation should contain only symbols. Be sure to define each symbol.

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Ideally, a motorist should try to enter an expressway lane ____________
answer choices
on the exit ramp
at a slower speed than the traffic already on the expressway
at the same speed as the motorists on the expressway
any speed they want

Answers

Ideally, motorists should try to enter the toll road c. at the same speed as a motorist on the freeway

Velocity is a vector quantity that measures the speed and direction of an object's change in position. Examples of speed units are km/hour, m/minute, m/second, and so on. There are two concepts of speed, namely the instantaneous speed is the speed of the object at a time and the average speed is the result of transfers at intervals each time.

When on expressway lane motorists should use the same speed as other motorists. The speed of other drivers is in accordance with the rules for the average speed of driving on the highway. This aims to keep the driver focused and to prevent accidents.

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Mention and describe (6) examples in which physics has been used in daily life

Answers

Six examples in which Physics has been used in daily life include:

TransportationCommunicationsEnergy productionMedical imagingConstructionEntertainment

What are some uses of physics in daily life ?

Physics plays a major role in transportation, from the design of cars and airplanes to the operation of trains and buses. Physics is also used in communications, from the design of telephone networks to the operation of the internet.

Physics is used to generate energy from various sources, such as fossil fuels, nuclear power, hydroelectric power, and wind power. Physics is used in medical imaging, such as X-rays, CT scans, and MRI.

Physics plays a major role in construction, from the design of buildings and bridges to the materials used in construction.  Physics is also used in entertainment, from the design of amusement park rides to the operation of video games.

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Assuming the acceleration is the same for each of the following objects which will require more force to cause acceleration 0 a lion 0 a mouse 0 a dog 0 an elephant

Answers

Answer: Elephant

Explanation: Because of an elephants weight and size, it would require more force for acceleration when compared to a lion, mouse, and/or dog.

What are the domain and range of the function f(x) = 4(rootindex 3 startroot 81 endroot) superscript x?.

Answers

The domain of that function is a real number or can be written as {x | x is a real number}. The range of that funciton is {y | y > 0}.

How to find the domain and range of that function?

Domain is all possibly value of "x" for a function to keep functional. In short, domain is a parameter of the function to work.  By its definition, domain is a real number or in math written as {x | x is a real number}

As per given function f(x) = 4(3√81)ˣ. Because of there is no negative sign in the formula, The value of f(x) has to be greater than zero. So, f(x) > 0 or y > 0. Range = {y | y > 0}

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A car applies a force of 36. 8 newtons for a 668-meter loop; what was the work done?.

Answers

The value of the work that was done on the car is 24.6 J.

How to calculate how much the work on the car was done?

Work is an energy that move from or to one object into another object that might make the object have the displacement, or we can say work is equal to force multiply with displacement in meters. In formula form, it will be written as W = F x s. As per data given F = 36.8 N and s = 668 m. The work will be:

W = F x s

W = 36.8 x 668

W =  24,582J  

Let round the work value. So, the work value will be 24.6 J

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Calculate the amount of energy required to escape from the surface of the following bodies, relative to that required to escape from the surface of Earth.
(a) Venus
_____ energy to escape Earth
(b) the Sun
_____ energy to escape Earth

Answers

The amount of energy required to escape from the surface are:

(a) Venus: about 40,250 m/s, or 0.9 times the energy required to escape Earth(b) the Sun: about 617,250,000 m/s, or 2 x 10^5 (two hundred thousand) times the energy required to escape Earth.

Venus's Energy to Escape Earth

To calculate the energy required to escape from the surface of relative to that required to escape from the surface of Earth, we can use the formula for escape velocity (Ve) which is:

Ve = √(2GM/R)

Where G is the gravitational constant, M is the mass of the celestial body and R is its radius.

First, we need to calculate the escape velocity of Venus (VeV) and Earth (VeE) using the formula above:

VeV = √(2GM_V/R_V)VeE = √(2GM_E/R_E)

And the ratio of VeV/VeE = √(M_V/R_V) / √(M_E/R_E)

Given the mass of Venus is 4.87 x 10^24 kg and radius of Venus is 6.0518 x 10^3 km, we can calculate the ratio of Venus escape velocity over Earth escape velocity:

VeV/VeE = √(4.87 x 10^24 / 6.0518 x 10^3) / √(5.97 x 10^24 / 6.371 x 10^3) VeV/VeE = 0.9

So the energy required to escape from the surface of Venus relative to that required to escape from the surface of Earth is about 0.9. This means that Venus escape velocity is 90% of the energy required to escape Earth.

To calculate the escape velocity of Venus in m/s, we can use the same formula:

Ve = √(2GM/R)

Where G is the gravitational constant (G = 6.67 x 10^-11 Nm^2/kg^2), M is the mass of Venus (M = 4.87 x 10^24 kg) and R is its radius (R = 6.0518 x 10^3 km). Hence:

Ve = √(2 * 6.67 x 10^-11 Nm^2/kg^2 * 4.87 x 10^24 kg) / 6.0518 x 10^3 km)Ve = √(2 * 6.67 x 10^-11 * 4.87 x 10^24 ) / 6.0518 x 10^3Ve = √(5.88 x 10^14) / 6051.8Ve = 40250 m/s

The Sun's Energy to Escape Earth

Given the mass of the Sun is 1.989 x 10^30 kg and radius of the Sun is 6.963 x 10^8 meters, we can calculate the ratio of the Sun's escape velocity over Earth escape velocity:

VeS/VeE = √(1.989 x 10^30 / 6.963 x 10^8) / √(5.97 x 10^24 / 6.371 x 10^3) VeS/VeE = 2 x 10^5

So the energy required to escape from the surface of the Sun relative to that required to escape from the surface of Earth is about 2 x 10^5 (two hundred thousand) times the energy required to escape Earth. This means that the Sun's escape velocity is 200,000 times larger than the energy required to escape Earth.

To calculate the escape velocity of The Sun in m/s, we can use the same formula as Venus:

Ve = √(2 * 6.67 x 10^-11 Nm^2/kg^2 * 1.989 x 10^30 kg) / 6.963 x 10^8 m)Ve = √(2 * 6.67 x 10^-11 * 1.989 x 10^30 ) / 6.963 x 10^8Ve = √(5.3 x 10^20) / 6963000000Ve = 617,250,000 m/s

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How much time does it take for a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers?

Answers

The time it will take a fish swimming at a speed of 15 kilometers per hour to travel a distance of 900 kilometers would be = 60hours.

What is speed?

Speed is defined as the scalar quantity that is used to define the rate of movement of an object with respect to time.

That is; Speed = distance/ time = s/t = km/hr

Speed = 15 km/hr

Distance = 900km

Time = X

Make t the subject of formula;

t = speed/distance = 900/15 = 60hours.

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Complete the following sentence. Overhead cables are often slack to allow them to __________ on hot days without breaking.

No fake answers please :,(

Answers

Answer:

Overhead cables are often slack to allow to expand on hot days without breaking.

Explanation:

They hang power lines with enough (even it seems tons!) slack to allow conductors to expand and contract due to the variations in ambient temperature and the current flowing through them. If strung tight, they will keep snapping causing the disruption in power flow.

Overhead cables are often slack to allow them to expand on hot days without breaking, as overhead cables, such as electrical power lines or communication cables, are exposed to various environmental conditions, including temperature fluctuations. Here option a is correct.

When temperatures rise, materials, including metals used in cables, tend to expand. This expansion can lead to increased tension and stress within the cable. If a cable is already under high tension and does not have room for expansion, it can potentially lead to structural damage or even breakage. To accommodate the expansion of the cables during hot weather, they are deliberately kept slack or loose. By allowing some slack in the cables, they have the flexibility to expand and contract with changes in temperature. This prevents excessive tension and reduces the risk of the cables becoming overstressed and breaking.

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complete question is below

Complete the following sentence. Overhead cables are often slack to allow them to __________ on hot days without breaking.

a, expand

b, contract

What is the velocity of a ball that is thrown 8 meters toward 3rd base in 4 seconds

Answers

Answer:

V=∆s/∆t

V=800/4

V=200

you have to change 8meters into centimeters and please let me know if I'm wrong

can anyone help? thanks.. physics Light​

Answers

Light travels in straight lines. This explains how shadows are formed on sunny days, how images are formed in cameras, and why there are  reflection in mirrors.

What is reflection?

When two different media come together at an interface, a wavefront might change direction so that it returns to the first medium, which is termed as reflection. The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).

You cannot see something unless you have 'line of sight' and the light can travel from the object to your eye in  straight line. Light waves are one of the ways that energy from the Sun reaches the Earth.

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Two identical objects, A and B move along straight, parallel, horizontal tracks. The graph above represents the velocity as a function of time for the two objects.

(a) Indicate which of the two objects, if either, has a decreasing speed during the time interval shown. If neither object has a decreasing speed, indicate this explicitly. Briefly explain your answer.

(b) Indicate at approximately which time or times, if any, the objects are moving at the same speed. If the objects are never moving with the same speed during the interval shown, indicate this explicitly. Briefly explain your answer.

(c) For which object, if either, is the magnitude of the net work done on it greater for the time interval shown? If the net work has the same magnitude for both objects, indicate this explicitly.

(d) In a clear, coherent paragraph-length response, explain your response to part (c).

Answers

(a) According to the graph, neither object A nor object B has a decreasing speed during the time interval shown. This can be inferred from the graph, as the slope of the line representing the velocity of both objects is always positive (going upwards) and never negative (going downwards).

(b) According to the graph, the objects are never moving at the same speed during the time interval shown. This can be inferred from the graph, as the lines representing the velocity of the two objects never intersect, indicating that they are never at the same point on the graph at the same time.

(c) According to the graph, the magnitude of the net work done on object A is greater than that on object B for the time interval shown. This can be inferred from the graph, as the area under the line representing the velocity of object A is greater than that of object B.

(d) The net work done on an object is equal to the force applied to the object multiplied by the distance it moves in the direction of the force. From the graph, it can be seen that object A has a greater velocity than object B for the entire time interval shown, which means that it covers a greater distance in the same amount of time, and therefore the net work done on object A is greater than that on object B. This can be seen by the area under the velocity graph, the area under the graph of object A is greater than that of object B. This means that the force applied to object A is greater than that applied to object B, and that the net work done on object A is greater than that on object B.

How to calculate speed in physics?

In physics, velocity is the rate of change of an object's position with respect to time. To calculate velocity, you need to know the initial position of the object, the final position of the object, and the time it took for the object to move from the initial position to the final position. Once you have this information, you can use the following formula to calculate velocity:

Velocity = (Final position - Initial position) / Time

The unit of velocity is typically meters per second (m/s) or kilometers per hour (km/h).

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A large raindrop--the type that lands with a definite splat--has a mass of 0. 014 g and hits your roof at a speed of 8. 1 m/s.

Answers

(a) The magnitude of the impulse delivered to your roof is 1.134 × 10⁻⁴ kg m/s.

(b) The magnitude of the force of the impact is 0.307 N.

Given that,

Mass of the rain drop is m = 0.014 g = 0.014 × 10⁻³ kg

Speed of the rain v = 8.1 m/s

Time of motion t = 0.37 ms = 0.37× 10⁻³ s

The following formula is used to determine the roof impulse,

J = ΔP = m× v

⇒ (0.014 × 10⁻³)× 8.1 = 1.134 × 10⁻⁴ kg m/s

Newton's second law of motion is used to compute the force of impact in the following ways,

F = m × a

F = [(0.014× 10⁻³) 8.1]/(0.37× 10⁻³) = 0.307 N

The given question is incomplete. The complete question is 'a. What is the magnitude of the impulse delivered to your roof?

b. If the raindrop comes to rest in 0. 37 ms, what is the magnitude of the

average force of the impact?'

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Explain Ramachandran's thoughts from the interview on how mirror
neutrons connect science with humanities. How did the mirror neutrons
influence the development of civilization?

Answers

The intriguing functions of mirror neurons are described by neuroscientist Vilayanur Ramachandran. These neurons, which have only lately been found, enable us to acquire intricate social skills.

Describe a mirror.

A mirrors is a collection of features that reflects light and creates an actual or fictitious picture. When an item is placed front of a mirror, the mirror reflects the same object. Glass can also be coated with metal to create mirrors.

What material does a mirror have?

Wet depositing of silver or aluminum is primarily used in the manufacture of contemporary mirrors. The glass substrate is first cleaned and polished to get rid of blemishes and pollutants. Next, a sequence of coatings must be applied to the glass, starting with tin chloride.

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A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. What is the final momentum of the block?
I NEED AN ANSWER FAST!!!

Answers

A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. the final momentum of the block remains constant as per the law of conservation of momentum.

What is the law of conservation of momentum ?

As per the law of conservation of momentum, The complete momentum of two or more bodies acting on one another in an isolated system remains constant unless an external force is applied.

Hence, as per the statement given there is no external force is applying so, the final momentum of the block is equal to ball's momentum and remains constant.

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When working with a hybrid vehicle HV What are some safety precautions that need to be taken?

Answers

When working with a Hybrid Vehicle (HV), there are certain safety precautions that must be taken in order to ensure the safety of you and your vehicle. First and foremost, make sure you read and understand the vehicle’s owner's manual before attempting to operate the vehicle.

This is the best source of information for understanding the safety features and operational guidelines for the HV.

Additionally, always use the correct size and type of tires, as stated in the owner’s manual. This will help to ensure optimal performance and safety. Additionally, inspect the brakes of the hybrid vehicle HV regularly, and make sure all lights and signals are working properly.

Finally, check the battery and make sure it is in good condition. Following these steps will help to ensure the safe and efficient operation of your HV.

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5. A roller coaster car accelerates at 8.0 m/s² for 4.0 s. What
is the change in the speed of the roller coaster car?

Answers

Answer:

monkey tunky funky luncky

Which type of resource is solar energy ?(a) Exhaustible resource (b) Soil resource(c) Biotic resource(d) Non-exhaustible resourcencit​

Answers

The solar energy is  Non-exhaustible resource​. Hence, option (d) is correct.

What  renewable resource?

A natural resource that can be replenished to replace the portion used up by usage and consumption is known as a renewable resource, also known as a flow resource. This replenishment can occur naturally through reproduction or through other recurring processes in a limited amount of time on a human time scale.

The natural environment of the Earth and the main elements of its ecosphere are renewable resources. A resource's sustainability can be determined in large part by looking at its life-cycle assessment.

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Scenario
Consider a coin of massm placed on a rotating surface a
distance R from the axis of rotation. The surface rotates with a
period T. There are some locations on the surface where the coin
can be placed and the force of static friction will not allow the com
to slip. At other locations, the coin will slip because static friction or
not strong enough to present the coin from slipping. The coefficient
of static fraction between the coin and the surface is u

Answers

The coefficient of the static friction(ц) between the coin and the surface is v²/gR.

The mass of the coin = m kg

The distance of the coin from the axis of rotation = R meter

Let the speed of the rotating surface = v m/sec

We know that an object moving in a circular motion on a circular path of radius R, experiences a centrifugal force which acts outwards from the axis of rotation. This force is determined by the following formula,

F = mv²/R

This force is balance by the static friction force on the coin.

Static friction force on the coin = mg × static friction(ц)

mv²/R = mg × static friction(ц)

Static friction(ц) = v²/gR

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