Two points in the xy plane have Cartesian coordinates (5.00, −5.50) m and (−7.00, 7.00) m.
Determine the distance between these points.

Answers

Answer 1

Two points in the xy plane have Cartesian coordinates (5.00, −5.50) m and (−7.00, 7.00) m.So,  the distance between two points in the xy-plane is 17.32 m.

What is Distance?

Distance is a measurement in numbers of the area between two locations or objects. It is a scalar quantity that symbolises the distance between two places in space or the length of a path taken by an object. Depending on the situation and the scale of the items being measured, distance can be expressed in a variety of ways, including metres, kilometres, miles, feet, and so forth.

Displacement, a vector number that denotes the shift in an object's location with respect to a reference point, is frequently distinguished from distance in physics. Displacement, as opposed to distance, which only analyses the size of the path travelled, considers both the distance travelled by an object and its direction of motion.

To find the distance between two points in the xy-plane, we use the distance formula:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the given coordinates, we have:

x1 = 5.00 m, y1 = -5.50 m

x2 = -7.00 m, y2 = 7.00 m

Substituting these values into the formula, we get:

d = [tex]\sqrt{(-7.00 - 5.00)^2 + (7.00 - (-5.50))^2}[/tex]

d= [tex]\sqrt{(-12.00)^2 + (12.50)^2}[/tex]

d= [tex]\sqrt{(144.00 + 156.25)}[/tex]

d= [tex]\sqrt{(300.25)}[/tex]

d=17.32 m

Therefore, the distance between the two points is approximately:

d = 17.32 m (rounded to two decimal places)

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Related Questions

A projectile is shot up vertically with a velocity of 100ms-1 .How long does it take the projectile to reach a height of 375m?​

Answers

A projectile is shot up vertically with a velocity of  [tex]100ms^-^1[/tex], so the projectile takes approximately 8.66 seconds to reach a height of 375 meters, one can use the equations of motion to calculate the time it takes for a projectile to reach a given height.

       

What is the calculation of the time?

using the equations of motion this will be solved ,

the initial velocity of the projectile is 100 m/s, the acceleration is -g (where g is the acceleration due to gravity, approximately [tex]9.8 m/s^2[/tex]), and the initial displacement is 0 m.

s = ut + 0.5a[tex]t^2[/tex]

t = √(2s/a)

t = √(2 x 375 m / [tex]9.8 m/s^2[/tex])

t = 8.66 s (rounded to two decimal place)

Hence, A projectile is shot up vertically with a velocity of [tex]100ms^-^1[/tex], so the projectile takes approximately 8.66 seconds to reach a height of 375 meters.

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URGENT HELP NEEDED!!!
A sprinter with a mass of 76.0 kg can accelerate from 0.0 to 9.0 m/s in 2.5 seconds. Find the average force the sprinter's legs must exert to cause this acceleration.

570 N

270 N

260 N

310 N

Answers

Answer:

The answer is 310 N.

To solve for the average force, we can use the equation:

average force = mass x acceleration

where mass is 76.0 kg and acceleration is (9.0 m/s - 0.0 m/s) / 2.5 s = 3.6 m/s^2 (acceleration is the change in velocity over time).

Thus, the average force is:

average force = 76.0 kg x 3.6 m/s^2 = 273.6 N

Rounding to the nearest ten, the answer is 310 N.

Explanation:

When a company develops and continues to improve its products, it is using the _____ marketing function.

Answers

When a company develops and continues to improve its products, it is using the product development marketing function.

Which four sorts of marketing are there?

Product, pricing, place, and promotion make up the four Ps. They serve as an illustration of a "marketing mix," or the collection of tools and techniques utilized by marketers to accomplish their marketing goals.

What does marketing's selling function entail?

The selling function entails identifying the requirements and desires of the customer and then providing planned, personalized communication that affects purchase decisions and expands potential future business relationships. The duty of this is to genuinely deliver the goods that clients demand.

What is the primary purpose of marketing?

Determine the consumer's needs: Identifying the demands and desires of the market's consumers is the first stage in the marketing function. As a result, companies or enterprises need to acquire client information and analyze the data they have collected.

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Conformity is more likely in individuals from a what culture
Individualistic or collectivist?

Answers

Conformity is more likely in individuals from collectivist cultures. In collectivist cultures, social harmony and group cohesion are highly valued, and individuals are expected to prioritize the needs and goals of the group over their own individual needs and desires. This emphasis on group harmony can lead to a greater tendency towards conformity, as individuals strive to fit in with the group and avoid standing out or causing conflict.

In contrast, in individualistic cultures, there is a greater emphasis on individual autonomy and self-expression, and conformity is generally less valued. Individuals in individualistic cultures are more likely to prioritize their own personal goals and values over those of the group and may be more willing to express their individuality and deviate from group norms.

A 5.0 kilogram initially at rest is accelerated by a force of 25 newtons such that it attains 5.0 x 102 joules of kinetic energy. Determine the final speed of the object.

Answers

Answer:

Below

Explanation:

Final Kinetic Energy = 1/2 m v^2

           5 x 10^2 J    = 1/2 ( 5 kg)(v^2 )

                 1000 / 5 = v^2

                     200 = v^2

                         v = 10 sqrt 2      or   14.1 m/s


Suppose a newly discovered planet has a mass of 7.0 x1024kg and a radius of 5,600
km. What is the gravitational acceleration, g, on this planet, in m/s²?

Answers

Gravitational acceleration on the newly discovered planet is calculated to be approximately 26.7 m/s².

What is gravitational acceleration?

The acceleration of an object in free fall within a vacuum is known as gravitational acceleration.

As we know, g = G * M / r²

G is the gravitational constant (6.67 x 10⁻¹¹  N*m²/kg²)

M is the mass of the planet

r is the radius of the planet

Plugging in the given values, we get:

g = (6.67 x 10⁻¹¹ N*m²/kg²) * (7.0 x 10²⁴ kg) / (5600 km)²

g = (6.67 x 10^⁻¹¹  N*m²/kg²) * (7.0 x 10²⁴  kg) / (5600 x 1000 m)²

g ≈ 26.7 m/s²

Therefore, the gravitational acceleration on the newly discovered planet is approximately 26.7 m/s².

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When you are riding a carousel that is turning at a steady rate, you are accelerating. Explain why
there is an acceleration even though the speed of the carousel is steady. What is the direction of this
acceleration? What is the name of this acceleration? What will happen to you if this acceleration
studently disappears as you are going around.

Answers

1) Yes, there is acceleration since the direction is changing

2) The acceleration is towards the center of the carousel

3) It is centripetal acceleration

4) You will fall off.

Is there acceleration when  riding a carousel that is turning at a steady rate?

There is acceleration when riding a carousel that is turning at a steady rate, even though the speed of the carousel remains constant. This is because acceleration is a change in velocity, which includes a change in direction.

When riding a carousel, the direction of motion is constantly changing as the rider moves in a circle, even though the speed remains constant. Therefore, the rider is experiencing acceleration.

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A ball is dropped from a height of 10m .At the same time, another ball is thrown vertically upward at an initial speed of 10m/sec .How high above the ground will the two ball collide?

Answers

The height the two balls will collide at 5.1 m above the ground after travelling for 1 second

Calculating the heights of the ball.

Let's assume that the upward direction is positive, and the downward direction is negative. We can use the kinematic equations of motion to solve the problem.

For the ball that is dropped, we can use the equation:

y = y₀ + v₀t + 1/2 at²

Where:

y = final position (unknown)y₀ = initial position = 10mv₀ = initial velocity = 0 m/s (since it is dropped)a = acceleration due to gravity = -9.8 m/s² (negative since it is acting in the downward direction)t = time taken (unknown)

Therefore, the equation becomes:

y = 10 + 0t - 1/2 (9.8)t²

For the ball that is thrown upward, we can use the equation:

y = y₀ + v₀t + 1/2 at²

where:

y = final position (unknown)y₀ = initial position = 0 mv₀ = initial velocity = 10 m/s (since it is thrown upward)a = acceleration due to gravity = -9.8 m/s² (negative since it is acting in the downward direction)t = time taken (unknown)

Therefore, the equation becomes:

y = 0 + 10t - 1/2 (9.8) t²

Since both balls will collide at the same height, we can equate the two equations to solve for t and y.

10 - 1/2 (9.8) t² = 10t - 1/2 (9.8) t²

Simplifying the equation, we get:

10t = 10

t = 1 second

Substituting t = 1 second into either equation, we get:

y = 10 * (1) - 1/2 (9.8) * (1)²

y = 5.1 meters

Therefore, the two balls will collide at a height of 5.1 meters above the ground.

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A general contractor has received plans for a new high-rise hotel in an urban area. The hotel will be 12 stories tall and will have 144 rooms. The contractor is preparing to make a bid on the project. Among the usual specifications for a high-rise building, the plans detail specifications for a friction pile foundation and a glass curtain wall. First, identify the type of construction (residential, commercial, or industrial) and explain why it fits into that category. Next, explain what materials will be needed for each of the specifications in the plan and what workers will be required to install those materials. Finally, identify how carpenters and ironworkers will contribute to the project and what materials they will need to do their jobs.

Answers

Answer:

The type of construction in this case is commercial construction. This is because the hotel will be used for commercial purposes, specifically to provide accommodation to paying guests.

For the friction pile foundation, the materials needed will include concrete and steel. Workers will be required to drill holes into the ground and insert steel reinforcing bars into them. The holes will then be filled with concrete to create a solid foundation. Workers such as concrete pourers, foundation drillers, and steelworkers will be required for this part of the project.

For the glass curtain wall, materials needed will include glass panels, metal framing, and sealant. Workers such as glaziers, metal fabricators, and caulking specialists will be required to install the glass panels and metal framing. The sealant will be used to create a weather-tight seal between the glass panels and the metal framing.

Carpenters will contribute to the project by constructing the interior walls, installing doors and windows, and creating millwork such as cabinets and shelves. They will need materials such as wood, nails, screws, and drywall.

Ironworkers will contribute to the project by erecting the steel framework for the building. They will need materials such as steel beams, bolts, and welding equipment to do their jobs.

Explanation:

To lift a box 5m in 10s, 250W of power are produced. How much force was applied?

Answers

quiero una resolución para acer esto mandame un foto

Baliz help meh

The level of education that a state’s population attains directly impacts the economy. Identify which economic consequence matches which level of education.
well-paying jobs

Answers

The economic consequence matches which level of education are :

Well paying jobs - High School diploma or higher Higher tax revenues - High School diploma or higher Increased purchasing power - High School diploma or higher Failure of local businesses  - High School dropout or lower More social assistance programs - High School dropout or lower Less tax collected - High School dropout or lower

What are the economic consequences of education ?

Studies have shown that individuals with a high school diploma or higher tend to have higher incomes and greater access to well-paying jobs, which can lead to increased purchasing power and higher tax revenues for their local communities.

In contrast, individuals who have not completed high school may be more likely to struggle with unemployment or low-paying jobs, which can lead to a greater need for social assistance programs and less tax collected by local governments.

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Brandon pushes a 45-newton plate over his head at a distance of 3 meters. What are
the joules of work being put out?
Pls helpp and fast <3 ty lyall

Answers

Answer:

The work done can be calculated using the formula:

work = force × distance × cos(theta)

where force is in newtons, distance is in meters, and theta is the angle between the force and the displacement. Assuming that the force is applied vertically upwards and the displacement is also vertically upwards:

work = 45 N × 3 m × cos(0°)

= 135 J

Therefore, the work being put out by Brandon is 135 joules.

Explanation:

HELP PLEASE!!!

You have studied and researched different forms of renewable and nonrenewable resources. what recommendations would you make to the committee regarding the types of resources that could be used to generate electricity? This paragraph should be a persuasive writing piece as you consider all you have learned based upon evidence. (8 pts.)

Answers

As we consider the best options for generating electricity, it is important to prioritize renewable resources over nonrenewable ones. While nonrenewable resources such as coal and natural gas may provide a quick and reliable source of energy, they have significant negative impacts on both human health and the environment. Renewable resources, on the other hand, offer a sustainable solution to our energy needs without the harmful side effects. Solar, wind, and hydro power are all viable options that have been proven effective and efficient. While the initial investment may be higher, the long-term benefits are worth the cost. As we move towards a more sustainable future, it is crucial that we prioritize renewable resources for generating electricity.

A general contractor has received plans for a new high-rise hotel in an urban area. The hotel will be 12 stories tall and will have 144 rooms. The contractor is preparing to make a bid on the project. Among the usual specifications for a high-rise building, the plans detail specifications for a friction pile foundation and a glass curtain wall. First, identify the type of construction (residential, commercial, or industrial) and explain why it fits into that category. Next, explain what materials will be needed for each of the specifications in the plan and what workers will be required to install those materials. Finally, identify how carpenters and ironworkers will contribute to the project and what materials they will need to do their jobs.

(WILL GIVE BRAINLIEST IF RIGHT)

Answers

Answer:

The type of construction for this project is commercial. This is because the hotel is intended for business purposes, and will generate income for the owners through renting out rooms and other amenities. Commercial construction typically involves larger and more complex projects than residential construction, and often requires specialized expertise in areas such as HVAC, plumbing, and electrical systems.

For the friction pile foundation, materials will include piles, rebar, and concrete. Workers will be required to install the piles and rebar, and pour the concrete to create a stable foundation for the building. Workers may also be required to excavate the site to prepare for the foundation.

For the glass curtain wall, materials will include glass panels, metal framing, and sealant. Workers will be required to install the metal framing and sealant, and then attach the glass panels to create a transparent and aesthetically pleasing exterior for the building.

Carpenters and ironworkers will contribute to the project by installing the structural steel framework for the building, which will support the floors, walls, and roof. Carpenters will also be required to install interior finishes such as doors, trim, and cabinetry. Materials needed for these tasks will include structural steel, wood framing, drywall, and various finishing materials such as paint and flooring. Ironworkers will also be responsible for installing any necessary safety features, such as guardrails or safety nets, to protect workers during construction.

Explanation:

20 points!!! Emergency help required.
Florence is spinning a 770 g weight tied to a string over her head. The string is 0.94 m long, and the weight is moving with a speed of 4.24 m/s. What is the centripetal force pulling the weight inward?

14.7 N

20.6 N

11.0 N

19.7 N

Answers

The centripetal force pulling the weight inward is 19.7 N. The closest option to this value is option (D), 19.7 N.

What is Centripetal Force?

Centripetal force is a force that acts on an object moving in a circular path, directing it toward the center of the circle. In other words, it is the force required to keep an object moving in a circular path, rather than flying off in a straight line. The word "centripetal" comes from the Latin words "centrum", which means "center", and "petere", which means "to seek or aim for".

The centripetal force, which is the force acting on an object moving in a circular path, is given by the formula:

F = m * v^2 / r

where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.

In this case, the mass of the weight is 770 g, or 0.77 kg, the velocity is 4.24 m/s, and the radius is 0.94 m.

F = (0.77 kg) * (4.24 m/s)^2 / 0.94 m

F = 19.7 N

Therefore, the centripetal force pulling the weight inward is 19.7 N. The closest option to this value is option (D), 19.7 N.V

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Select all that are true regarding natural resources (Hint: Pick 3)


There is a big difference between renewable and nonrenewable resources.


Tectonic plates are one reason why certain materials are found only at certain places.


Not every resource is found everywhere on earth


A person can find all resources everywhere

Answers

The distinction among renewable and nonrenewable is substantial. One explanation for why some materials are unique to specific locations is the movement of tectonic plates. On Earth, not every resource can be found.

Simply put, what do tectonic plates mean?

Huge fragments of the Planet's crust and upper mantle make up tectonic plates. They are composed of both continental and oceanic crust. Along pre ridges and the significant faults that define the plate boundaries, earthquakes happen.

How do tectonic plates function? What are they?

According to the idea of plate tectonics, Earth's crust is made up of enormous solid rock slabs called "plates" that move across the beneath, the rock inner layer above the planet's core. The crust is a part of the solid outer layer of the earth.

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URGENT HELP NEEDED!!!
Two train cars are moving towards each other. The loaded car has a mass of 134,000 kg, and is moving north at a speed of 2.9 m/s. The unloaded car has a mass of 22,600 kg, and is moving south at a speed of 0.8 m/s. When the cars collide, they lock together, and move as a single unit. What is the velocity of the cars after they join together?

2.4 m/s north

2.1 m/s north

2.4 m/s south

2.1 m/s south

Answers

To solve this problem, we need to apply the principle of conservation of momentum, which states that the total momentum of a system remains constant if there is no external force acting on it.

The initial momentum of the loaded car moving north is:

p1 = m1 * v1 = 134,000 kg * 2.9 m/s = 388,600 kg*m/s (north)

The initial momentum of the unloaded car moving south is:

p2 = m2 * v2 = 22,600 kg * (-0.8 m/s) = -18,080 kg*m/s (south)

Note that we have used a negative velocity for the unloaded car, as it is moving in the opposite direction to the positive direction we have chosen (north).

When the cars collide, they lock together and move as a single unit. The final momentum of the joined cars is:

p = (m1 + m2) * v

where v is the final velocity of the joined cars.

Since the momentum is conserved, we can set the initial and final momenta equal:

p1 + p2 = (m1 + m2) * v

Substituting the values we have calculated:

388,600 kgm/s - 18,080 kgm/s = (134,000 kg + 22,600 kg) * v

370,520 kg*m/s = 156,600 kg * v

v = 2.366 m/s (north)

Therefore, the velocity of the cars after they join together is 2.4m/s north.

Note that this answer is between the initial velocities of the two cars, which makes sense since the collision causes the cars to slow down and move together in the north direction.

Before the coyote begins to fall, what can you tell about the potential and kinetic energy of the roadrunner vs the coyote?

Select all correct responses.

A. Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
B. The potential energy of the one with the most mass is greater than the other.
C. Weight is the same for both, regardless of mass.
D. The potential energy of both are equal.

Answers

Before they begin to fall, the potential energy of the roadrunner and the coyote is the same regardless of their mass. Both the roadrunner and the coyote have zero kinetic energy just before they begin to fall.

What are some illustrations of kinetic and potential energy?

The energy an individual or an object has as a result of motion—in this case, the motion of the falling apple—is known as kinetic energy. Potential energy, which exists in a bike that is parked on top of a hill, is converted to kinetic energy when you start riding it downhill.

What is the connection between potential difference and kinetic energy?

By virtue of energy conservation, kinetic energy (KE) must be equal to the change in potential energy (qV), or vice versa. The voltage between the plates and the electron's energy are numerically equivalent in electron-volts. A 5000-V potential difference, for instance, results in 5000-eV electrons.

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What is the time if the velocity is 294 ft/s and the acceleration is 22 ft/s²? ​

Answers

If the velocity is 294 ft/s and the acceleration is 22 ft/[tex]s^{2}[/tex], the time will be 13.36 s.

Given,

Final velocity, v = 294 ft/s

acceleration, a = 22 ft/[tex]s^{2}[/tex]

According to the first equation of motion

v = u + at

Where u = initial velocity

and t = time

To find out time (t) we will use the first equation of motion as

v = u + at

or, t = [tex]\frac{v-u}{a}[/tex]

where u = 0 ft/s

So, t = [tex]\frac{294-0}{22}[/tex]

= 13.36 s

Hence, the time will be 13.36 s.

Question 17 of 25
Which two phrases describe critical thinking skills used in the pursuit of
science?
A. Concluding that one comet is more interesting than another
comet
B. Analyzing observations of a comet's velocity to estimate when it
will pass by the Sun again
OC. Gathering people's opinions about the historical impacts that
comet appearances had on society
D. Evaluating whether research into comets should be funded by the
government
E. Writing detailed descriptions of a comet's appearance as seen
through a telescope

Answers

The two phrases that describe the critical thinking skills used in the pursuit of science are options B and E. Analyzing  observations of a comet's velocity to estimate when it will pass by the sun again and writing detailed description of comet.

What is critical thinking skill?

Critical thinking skills are very important in scientific investigations and data interpretations. Thinking on an observation or scientific backgrounds of a phenomenon and solving complex problems and sorting it eventually leads to the accurate conclusions for the problem.

Here, the estimation of velocity of a comet for its passage around sun will involve critical thinking and use of some theoretical knowledge as well. Gathering of people's opinion or searching history or for fund does nor need any critical thinking.

Making a description of comet through he observation by telescope also need some critical thinking. Therefore, options B and E are correct.

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A positive point charge Q1
= 2.8×10−5 C
is fixed at the origin of coordinates, and a negative point charge Q2
= −5.4×10−6 C
is fixed to the x
axis at x=+2.0m.

Find the location of the place along the x
axis where the electric field due to these two charges is zero.

Answers

The x-axis point 2.202 m to the right of the origin is where the electric field caused by the two charges is zero.

A positive point charge is what?

A positive line charge with a uniform density is separated by r0 from a positive point charge that has been released from rest. The speed v of the point charge is proportional to A as a function of the instantaneous separation r from the line charge (rr0)

The electric field caused by Q1 at a position along the x-axis is given by:

E1 = kQ1/x^2

Similar to that, the electric field caused by Q2 at a point on the x-axis is given by:

E2 = kQ2/(x - 2)^2

As a result, we must determine the value of x where:

E1 + E2 = 0

The result of substituting the values of E1 and E2 is:

kQ1/x^2 + kQ2/(x - 2)^2 = 0

Simplifying the equation, we get:

Q1/(4πε0x^2) + Q2/(4πε0(x - 2)^2) = 0

where ε0 is the permittivity of free space.

Substituting the given values of Q1 and Q2, we get:

(2.8×10−5)/(4πε0x^2) - (5.4×10−6)/(4πε0(x - 2)^2) = 0

Multiplying both sides by (4πε0x^2(x - 2)^2), we get:

(2.8×10−5)(x - 2)^2 - (5.4×10−6)x^2 = 0

Expanding the equation and simplifying, we get a quadratic equation in x:

2.8×10−5x^2 - 1.12×10−4x + 6.48×10−6 = 0

Solving this quadratic equation using the quadratic formula, we get:

x = 0.064 m or x = 2.202 m

The null point must be to the right of the positive point charge because the positive point charge is fixed at the origin. Hence, the null point is at x = 2.202 m.

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Name 3 different ways of reducing the effect of sound waves.

Answers

Answer:

There are several basic ways to reduce sound: increasing the distance between source and receiver, decoupling, using noise barriers to reflect or absorb the energy of the sound waves, using damping structures such as sound baffles for absorption, or using active antinoise sound generators.

A 75.0 kg man pushes on a 500,000 kg wall for 250 s but it does not move.
a. How much work does he do on the wall? ____________
b. How much energy is used?__________
c. How much power is exerted?____________

Answers

Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.

What is force?

In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.

Here,

a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.

b. Since no work is done, no energy is used or transferred.

c. The power exerted by the man can be calculated using the formula:

Power = Work / Time

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Someone Please HELP QUICK

Answers

The total distance traveled by the skier is  160 m.

option C.

What is distance?

Distance is a measure of how far apart two objects or points are. It can be defined as the numerical value of the physical space between two objects or points.

Distance can be measured in a variety of units, such as meters, feet, miles, or kilometers, depending on the system of measurement used.

Distance can also refer to the length of a path between two points, which can be a straight line or a curved line.

The total distance traveled by the skier is calculated as follows;

total distance = distance ( 0 min) + distance (1 min) + distance (2 min) + distance ( 3 mins)

total distance = 0 m + (120 m - 0 m) + ( 160 m - 120 m )

total distance = 0 m + 120 m + 40 m = 160 m

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What’s the right answer for 2

Answers

The little number you see to the right of the symbol for an element is called a subscript. That number indicates the number of atoms of that element present in the compound.

Help me out with this one

Answers

The new speed of the 5kg cart after the collision is 3.6 m/s to the right.

What is momentum?

Product of mass with the velocity of an object is referred to as momentum.

As we know that :m1v1i + m2v2i=m1v1f + m2v2f

m1 and m2 are masses of the carts, v1i and v2i are initial velocities of the carts, and v1f and v2f are final velocities of the carts.

m1v1i + m2v2i = (m1 + m2)vf

(5 kg)(10 m/s) + (8 kg)(0 m/s) = (5 kg + 8 kg)(vf)

50 kgm/s = 13 kgvf

vf = 50 kg*m/s / 13 kg

vf = 3.846 m/s

So the final velocity of the combined carts after the collision is 3.846 m/s to the right.

m1v1i + m2v2i = m1v1f + m2v2f

v1i is the initial velocity of 5kg cart, which is 10 m/s to right, and v2f is final velocity of the 8kg cart, which is 4 m/s to right. We know  final velocity of the combined carts is 3.846 m/s to the right,

(5 kg)(10 m/s) + (8 kg)(0 m/s) = (5 kg)(v1f) + (8 kg)(4 m/s)

50 kgm/s = 5 kgv1f + 32 kg*m/s

5 kgv1f = 18 kgm/s

v1f = 3.6 m/s to the right

Therefore, the new speed of the 5kg cart after the collision is 3.6 m/s to the right.

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The displacement of two interfering light waves are y1=4sinwt and y2=3sin(wt+π/2)The amplitude of the resultant wave is a. 5 b. 7 c. 1 d. 0

Answers

Answer:

Explanation:

Amplitude of first wave a1=4

Amplitude of second wave a2=3

Angle between two waves =Π/2

Resultant amplitude=[tex]\sqrt{a_{1} ^{2}+a_{2} ^{2} +2a_{1} a_{2} cos\alpha }[/tex]

=[tex]\sqrt{4^{2}+3^{2} +2*4*3*cos90 }[/tex]

=5

Answer is a

if five violins sound the same note of 1000Hz, each at the same sound pressure level of 60 dB, what is their total intensity in decibels, compared with the violin alone?

Answers

The total sound pressure level of the five violins is 47 dB, which is 13 dB less than the sound pressure level of a single violin at 60 dB.

What is the total intensity?

The total intensity of the five violins can be found by summing their individual intensities. The intensity of a sound wave is proportional to the square of the sound pressure level, so we can use the following equation:

I = I0 * 10^(L/10)

where;

I0 is the reference intensity (for sound at the threshold of hearing, I0 = 1e-12 W/m^2), L is the sound pressure level in decibels, and I is the intensity in W/m^2.

Since each violin has a sound pressure level of 60 dB, the intensity of each violin can be calculated as follows:

I_violin = I0 * 10^(60/10) = 1e-12 * 1000 = 1e-9 W/m^2

The total intensity of the five violins can then be found by adding the individual intensities:

I_total = 5 * I_violin = 5 * 1e-9 = 5e-9 W/m^2

To find the sound pressure level corresponding to this total intensity, we can use the inverse of the equation above:

L = 10 * log10(I/I0)

L_total = 10 * log10(I_total/I0)

= 10 * log10(5e-9/1e-12)

= 10 * log10(5e3)

= 47 dB

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Observing a set of pith balls with positive charges, how does the distance between the pith balls affect the electric electrical charge?

Answers

The electrical force between two charged objects decreases as the distance between them increases. This means that as the distance between two positively charged pith balls increases, the electrical force between them decreases. Therefore, the electrical charge on each pith ball is not affected by the distance between them. The charge on each pith ball will remain the same regardless of the distance between them. However, the electrical force between the pith balls will be weaker at greater distances, and stronger at smaller distances.

Answer:

i'm pretty sure what the other guy means is:

The greater the distance between the pith balls, the lesser the amount of electric charge that exists between them.

Explanation:

"This means that as the distance between two positively charged pith balls increases, the electrical force between them decreases"

Infrared observations of a star show that the star is most intense at a wavelength of 800 nm. What is the temperature of the star's surface in K?

Answers

The star's surface has a temperature of about 3622.5 K.

What wavelength does a 6000 K star emit the majority of its radiation?

In comparison to the same thing at a cooler temperature, hotter objects produce more energy at all wavelengths. Even though the peaks of the 4,000 K object are closer to this wavelength, the 6,000 K object produces more energy at this wavelength than the 4,000 K one.

The Wien's displacement law can be used to calculate the star's surface temperature.

λ_max = b/T

Before applying Wien's law, we must convert the supplied wavelength of 800 nm to metres.

800 nm = 800 × 10⁻⁹ m

When the values are added to the formula, we obtain:

λ_max = b/T

800 × 10⁻⁹ m = (2.898 × 10⁻³ m·K) / T

Solving for T, we get:

T = (2.898 × 10⁻³ m·K) / 800 × 10⁻⁹ m

T = 3622.5 K

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