a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this speed?

Answers

Answer 1
T=Vf-Vi/s
25m/s -15m/s/ 125m
10m/s /125m
=0.08s
I hope it’s correct !
Answer 2

The time taken by the car to achieve the final speed is 6.25 seconds.

What is the equation of motion?

The equations of motion can be defined as the equation that represents the relationship between the time, velocity, acceleration, and displacement of a moving object.

The mathematical expressions for the equations of motions can be written as:

\(v= u+at\\S=ut+(1/2)at^2\\v^2-u^2=2aS\)

Given, the initial speed of the car, u = 15 m/s

The final speed of the given car, v = 25m/s

The distance covered by car, S = 125 m

From the third equation of motion: v² = u²+ 2aS

(25)² = (15)² + 2×a× 125

a = 1.6 m/s²

From the first equation of motion we can find the time to achieve the final speed:

v = u+ at

25 = 15 + (1.6) × t

t = 6.25 sec

Therefore, 6.25 seconds will be taken by the car to catch the final speed.

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Related Questions

Draw a floorplan of your home or school. Make a key to show where the wireless router is
located. Show on your model where the Wi-Fi signals are good and bad. Based on the
information from this article, explain why you think the Wi-Fi signal is bad in certain parts of
your home or school. Upload an image of your floorplan drawing below.

Answers

The position of the router and the design of the building in my house or school can have an impact on the Wi-Fi signal's intensity. The Wi-Fi signal is probably going to be strong throughout the entire building if the router is placed in a central location and there are no obstacles.

Where do I install the router in my three-story home?

That's simple: just put the router about in the middle of the second level to get even coverage. Keep in mind that this is true whether you have a wireless router upstairs or downstairs.

How can I relocate my router throughout my home?

Plug it out. ,Put it away.,Link it when you move.

Set it up with your new

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The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds 
3)Is there any time interval in which no force acts on object.Justify

The velocity time graph of an object mass 50 g is shown in figure study graph and answer1)calculate force

Answers

1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.

2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.

3) There is no time interval in which no force acts on the object.

(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.

In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.

Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2

Acceleration, a = slope= 20/3 m/s^2

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.

Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.

(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.

The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:

Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.

Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.

(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.

Therefore, there is no time interval in which no force acts on the object.

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i
e. network executives make hasty
When winding an old clock, it is important not to overwind it. Over-
winding occurs when the mainspring is almost fully wound, but the
operator continues to turn the winding key. This causes the main
spring to coil too tight, and might even break it.
110. This paragraph best supports the statement that
a. clocks have changed over the years.
b. old-fashioned clocks become fragile with age.
c. old-fashioned clocks were operated by an internal spring.
d. overwinding clocks used to be a common mistake.
e. time flies when you're having fun.

Answers

The paragraph primarily discusses the concept of overwinding old clocks and its consequences, indicating that overwinding clocks used to be a common mistake. Here option D is the correct answer.

The paragraph explains that overwinding occurs when the mainspring is almost fully wound, but the operator continues to turn the winding key, resulting in the spring coiling too tightly or even breaking.

This suggests that overwinding was a mistake commonly made in the past when operating old-fashioned clocks. The other options, such as clocks changing over the years or clocks becoming fragile with age, are not directly addressed in the paragraph and are therefore less supported.

The option e. "time flies when you're having fun" is unrelated to the paragraph and can be disregarded as an irrelevant answer choice. Hence option D is the correct answer.

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How large a net force is required to accelerate a 1600-kg SUV from rest to a speed of 25 m/s in a distance of 200 m

Answers

Answer:

F=2496 N

Explanation:

Given that,

Mass of SUV, m = 1600 kg

Initial speed, u = 0

Final speed, v = 25 m/s

Distance, d = 200 m

We need to find the net force. Firstly, let's find acceleration using equation of motion.

\(v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(25)^2-(0)^2}{2\times 200}\\\\a=1.56\ m/s^2\)

Net force, F = ma

\(F=1600\times 1.56\\\\F=2496\ N\)

So, the net force is 2496 N.

The amount of net force that will be required to accelerate a 1600kg SUV from rest to a speed of 25 m/s in a distance of 200m is 2500N

HOW TO CALCULATE NET FORCE:

The net force of a body can be calculated by multiplying its mass by acceleration.

However, the acceleration of this SUV needs to be calculated using the following equation of motion:

v² - u² = 2as

a = v² - u²/2s

Where:

a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s)s = distance (m)

a = 25² - 0²/2(200)

a = 625/400

a = 1.563m/s²

Since a = 1.563m/s²

F = 1600 × 1.563

F = 2500N

Therefore, the amount of net force that will be required to accelerate a 1600kg SUV from rest to a speed of 25 m/s in a distance of 200m is 2500N.

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Change of state due to cooling is due to

Answers

Change of state due to cooling is due to the removal of thermal energy from a substance. A substance changes states, such as from a gas to a liquid or from a liquid to a solid, when its particles lose kinetic energy as it loses heat and moves more slowly. Eventually, the particles reorganize into a more ordered form with less energy. The term "solidification" or "freezing" refers to this process.

The "law of effect" states that:

Answers

Answer:

The answer is D

Explanation:

The Law of effect states that if a benefit comes out of a action the action is most likely to be repeated

what is prefixe name of 1.5×10⁴​

Answers

Answer:

10000

Explanation:

10 to the 5th power

You are cooking spaghetti and you look into the pot of boiling water before you put the spaghetti in. You notice the water moving around in the pot. What type of thermal energy transfer occurs to heat the water?

Answers

Answer:

Heat transfer is an exchange of thermal energy between two objects. The rate of heat transfer depends upon the temperatures of each entity and the medium through which the thermal energy is being transferred. In cooking, heat transfer refers to heating your food items through a cooking appliance, such as a stove, fryer, microwave, or oven.

Explanation:

I hope it helps

Answer:

Convection

Convection is heat transfer by mass motion of a fluid such as air or water when the heated fluid is caused to move away from the source of heat, carrying energy with it. Convection above a hot surface occurs because hot air expands, becomes less dense, and rises (see Ideal Gas Law).

Explanation:

hope this helps:-)

A 235-kg merry-go-round at the Great Escape in Lake George is in the shape of a uniform, solid, horizontal disk of radius 1.50 m. It is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.400 rev/s in 2.00 s?

Answers

Answer:

The constant force to be exerted on the rope is 221.55 N

Explanation:

Given;

mass of the merry, m = 235 kg

radius, r = 1.5 m

number of revolution per second, = 0.4 rev/s

time of motion, t= 2.00 s

The angular acceleration is given by;

\(\alpha = \frac{0.4 \ rev}{s} *\frac{2\pi \ rad}{rev} *\frac{1}{2.0\ s} = 1.257 \ rad/s^2\)

Torque is given by;

τ = F.r

Also torque in uniform solid disk is given by;

τ = ¹/₂mr²α

Thus, equating the two;

F.r = ¹/₂mr²α

F =  ¹/₂mrα

F = ¹/₂(235)(1.5)(1.257)

F = 221.55 N

Therefore, the constant force to be exerted on the rope is 221.55 N

The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat of Aluminum is double the specific heat of iron. If the temperature of the Aluminum's mass changes by /\T, what is the change in the Iron's mass temperature?

The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat

Answers

Answer:

it is double the temperature change of iron

11. A metallic block of mass sokg exerts o pressure of ION/m² on the surface. Determine the area of contact between the block and the surface.​

Answers

The area of contact between the block and the surface is 50 m².

What is mass?

A body's mass is an inherent quality. Before the discovery of the atom and particle, it was widely considered to be tied to the amount of matter in a physical body.

The measure of matter in a particles or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).

What is pressure?

Pressure is defined as force applied on a body per unit area. Pressure is the force perpendicularly applied to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the outside pressure. There are many different units used to express pressure.

Equation :

Given,

mass(m) = 50kg

pressure (p) = 10N/m²

Taking,

g= 10 m/s²

p= mg/A⇒ 10= 50 × 10/A∴

A= 500/10 = 50 m²

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Two charged objects are separated by distance, d. The first charge has a larger magnitude (size) than the second charge. Which one exerts the most force?

Answers

Pretty sure the first one

. The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth


Answers

A. The weight of the mass on the earth is 117.6 N

A. The weight of the mass on the moon is 19.56 N

How do i determine the weight of the mass?

Weight is defined as follow:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Now we shall determine the weight. Details below:

A. Weight on earth

Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s²   Weight on earth (W) =?

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 9.8

Weight on earth = 117.6 N

B. Weight on moon

Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s²  Acceleration due to gravity on moon (g) = (1/6) × 9.8 = 1.63 m/s² Weight on moon (W) =?

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 1.63

Weight on moon = 19.56 N

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Complete question:

The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon

13) What property of matter would be measured with this piece of equipment?
A) The mass of an apple
hing
)
By the temperature of a room
The volume of water in a glass.
D) The length of a piece of string.

13) What property of matter would be measured with this piece of equipment?A) The mass of an applehing)By

Answers

Answer:

a

Explanation:

i took the test 100%

You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?

A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.

Answers

Answer:

C) The book's inertia carried it forward.

When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.

An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.

An appeal of a state appellate court ruling can next be made to: A. a state trial court. B. the state

Answers

The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.

Why is Supreme renowned?

In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.

Why is Supreme so expensive?

Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.

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ASAP
What is the area under the curve for the histogram below?

ASAPWhat is the area under the curve for the histogram below?

Answers

The area under the curve for the histogram in this problem is given by the following option:

B. 97.

How to obtain the area of the histogram?

The histogram is composed by rectangular bins, hence the total area under the histogram is given by the sum of the areas of each bin.

The area of a rectangle of base b and height h is given by the multiplication of these dimensions, as follows:

Area = b x h.

From the histogram given in this image, all the bins have a base of 1, hence the total area is given by the sum of the heights of the histogram.

Thus the total area is calculated as follows:

Area = 5 + 7 + 11 + 15 + 17 + 14 + 12 + 9 + 4 + 3 = 97.

Meaning that option B is correct.

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In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!


Here is a function machine.



Input : multiply by 6. Subtract 80: output



The input is the same as the output. Find the input.


Also can you please show me an easy to work out these type of questions

Answers

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Compare and contrast microscopic and macroscopic energy transfer Give least three comparisons for each

Answers

Answer:

Differences

microscopic refers to substances visible to the naked eye

macroscopic are substances invisible to naked eye

Similarities

both refer to different scales that are useful to determining the size to different compounds.

Explanation:

Ima find more

Mixed Martial Artists (MMA fighters) can really pack a punch. The average fighter can generate
5,000 N of force. This means that the fighters arm and fist has to decelerate at 877 m/s/s. How
much mass does the fighters arm have?

Answers

The mass of the fighter's arm, given that it can generate 5000 N of force is 5.7 Kg

How to determine the mass of the fighter's arm

Force, mass and acceleration are related according to the following formula:

Force = mass × acceleration

With the above formula, we can determine the mass of the figter's arm. This is illustrated below:

Force (F) = 5000 NAcceleration (a) = 877 m/s/sMass (m) =?

Force = mass × acceleration

5000 = mass × 877

Divide both sides by 877

Mass = 5000 / 877

Mass = 5.7 Kg

From the calculation made above, we can conclude that the mass of the fighter's arm is 5.7 Kg

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What are the things being compared in the following argument?



"The United Nations failed to intervene in Bosnia to prevent massive human rights violations and ethnic cleansing. It also failed to act to stop the murders of close to a million innocent people in Rwanda. THe UN will not intervene to stop any widespread slaughter of innocents in Nigeria."

a.
Ethnic cleansing in Nigeria and Bosnia

b.
The slaughter of innocents by the UN

c.
situations in which the United Nations might intervene

d.
Human rights violations in Rwanda and Bosnia

Answers

Answer:

C

Explanation:

The thing that is being compared in the given argument is Ethnic cleansing in Bosnia. The correct option is A.

What is Ethnic cleansing?

Ethnic cleansing is the systematic removal of ethnic, racial, and religious groups from a given area with the goal of ethnically homogenizing the region.

In this group of resettled Bosnian refugees, ethnic cleansing has resulted in high rates of PTSD and depression, as well as other forms of psychological morbidity.

The long-term consequences of ethnic cleansing as a form of mass psychological trauma have yet to be studied.

Political elites seek to gain and/or consolidate political power by capitalizing on nationalism and the desire to create the domestic "other" in order to foster solidarity among the dominant nationality.

The topic under discussion in this argument is ethnic cleansing in Bosnia.

Thus, the correct option is A.

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In an experiment similar to the one you performed in Week 3, an experimenter measures the count rate of a radioactive element 100 times, calculates the mean and standard deviation of the data, and organizes the data into four bins:
Interval Number of Occurrences
n < n 15
< n < n 50 - 15
n < n < + 38
n > n + 12
The experimenter expects a Gaussian distribution. (For simplicity, assume 68 % of the counts fall within one standard deviation of the mean rather than the more exact value of 68.27 \%.) What is x?

Answers

Answer:

The answer is "1.5625".

Explanation:

Please find the complete question with its solution file in the attachment.

In an experiment similar to the one you performed in Week 3, an experimenter measures the count rate
In an experiment similar to the one you performed in Week 3, an experimenter measures the count rate
In an experiment similar to the one you performed in Week 3, an experimenter measures the count rate

An air-track cart with mass m=0.20kg and speed v0=1.5m/s approaches two other carts that are at rest and have masses 2m and 3m, as indicated in (Figure 1). The carts have bumpers that make all the collisions elastic. Find the final speed of cart 2, assuming the air track extends indefinitely in either direction .Find the final speed of cart 3, assuming the air track extends indefinitely in either direction.

Answers

The final speed of cart 2 is -1.0 m/s, and the final speed of cart 3 is 0.5 m/s.

To find the final speeds of cart 2 and cart 3 after the collision, we can use the principles of conservation of momentum and kinetic energy.

Given:

Mass of cart 1 (approaching cart): m = 0.20 kg

Initial velocity of cart 1: v0 = 1.5 m/s

Mass of cart 2: 2m

Mass of cart 3: 3m

Let's denote the final velocities of cart 2 and cart 3 as v2 and v3, respectively.

According to the conservation of momentum, the total momentum before the collision should be equal to the total momentum after the collision.

Initial momentum = Final momentum

(m * v0) + (2m * 0) + (3m * 0) = m * v2 + 2m * v3 + 3m * v3

Simplifying the equation, we have:

m * v0 = m * v2 + 5m * v3    ...(1)

Since the collision is elastic, the total kinetic energy before the collision should be equal to the total kinetic energy after the collision.

Initial kinetic energy = Final kinetic energy

(1/2) * m *\(v0^2 = (1/2) * m * v2^2 + (1/2) * 2m * v3^2 + (1/2) * 3m * v3^2\)

Simplifying the equation, we have:

(1/2) * m *\(v0^2 = (1/2) * m * v2^2 + m * v3^2 + (3/2) * m * v3^2\)

m * \(v0^2 = m * v2^2 + 2m * v3^2 + 3m * v3^2\)

\(v0^2 = v2^2 + 2v3^2 + 3v3^2\)    ...(2)

Now, we have two equations (equation 1 and equation 2) with two unknowns (v2 and v3). We can solve these equations simultaneously to find the values of v2 and v3.

From equation 1, we can rewrite it as:

v2 = v0 - 5v3

Substituting this expression into equation 2, we get:

\(v0^2 = (v0 - 5v3)^2 + 2v3^2 + 3v3^2\)

Expanding and simplifying the equation, we have:

\(v0^2 = v0^2 - 10v0v3 + 25v3^2 + 2v3^2 + 3v3^2\)

\(0 = -10v0v3 + 30v3^2\)

Rearranging the equation, we get:

10v0v3 = 30\(v3^2\)

v0 = 3v3

Solving for v3, we find:

v3 = v0/3 = (1.5 m/s) / 3 = 0.5 m/s

Substituting this value of v3 back into the expression for v2, we have:

v2 = v0 - 5v3 = 1.5 m/s - 5 * 0.5 m/s = 1.5 m/s - 2.5 m/s = -1.0 m/s

Therefore, the final speed of cart 2 is -1.0 m/s (indicating it moves in the opposite direction with respect to the initial velocity), and the final speed of cart 3 is 0.5 m/s.

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An aeroplaneflying above groundnd490m with 100 meterpersecond how far on ground it will strike

Answers

The airplane will strike the ground at a horizontal distance of 490 meters.

To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.

The horizontal distance traveled by an object can be calculated using the formula:

Distance = Speed × Time

In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.

Distance = 100 m/s × t

Now, to find the value of time, we can rearrange the equation as follows:

t = Distance / Speed

t = 490 m / 100 m/s

t = 4.9 seconds

Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.

Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:

Distance = Speed × Time

Distance = 100 m/s × 4.9 s

Distance = 490 meters

It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.

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a stone on the ground has zero energy why​

Answers

Explanation:

it has no energy when considered with respect to earth ,as it has neither height (i e potential energy) nor velocity (i.e kinetic energy).

A 25 kg lamp is hanging from a rope. What is the tension force being supplied by the rope?

Answers

The tension force being supplied by the rope is 245 N.

What is tension force?Tension force is the force exerted on a rope or cord due to the weight of an object suspended from it.

The tension force on the given rope due to the weight of the lamp hanging from the rope is calculated by applying Newton's second law of motion as shown below;

T = mg

where;

m is the mass = 25 kgg is acceleration due to gravity = 9.8 m/s²

T = 25 x 9.8

T = 245 N

Thus, the tension force being supplied by the rope is 245 N.

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this is electricity in physics please help​

this is electricity in physics please help

Answers

Explanation:

a. (i) When the variable resistor is set at zero, the only resistance in the circuit is due to the lamp. So the current flowing through the circuit is

\(I = \dfrac{V}{R} = \dfrac{220\:\text{V}}{440\:Ω} = 0.5\:\text{A}\)

(ii) The power output P of the lamp is given by

\(P = I^2R = (0.5\:\text{A})^2(440\:Ω) = 110\:\text{W}\)

b. (i) The variable resistor is in a series connection to the lamp so when its value is set to its maximum value of 660 Ω, the total resistance of the circuit is simply the sum of the two resistances:

\(R_T = R_{vr} + R_L = 660\:Ω + 440\:Ω = 1100\:Ω\)

Therefore, the current through the circuit is

\(I = \dfrac{V}{R_T} = \dfrac{220\:\text{V}}{1100\:Ω} = 0.20\:\text{A}\)

(ii) Using the result in Part (ii), we can solve for the potential difference across the lamp as follows:

\(V_L = IR_L = (0.20\:\text{A})(440\:Ω) = 88\:\text{V}\)

(iii) The power output of the lamp is

\(P = I^2R_L = (0.20\:\text{A})^2(440\:Ω) = 17.6\:\text{W}\)

(iv) The rate at which electrical energy is supplied, i.e., the power output of the circuit is equal to the square of the current multiplied by the total resistance of the circuit:

\(P = I^2R_T = (0.20\:\text{A})^2(1100\:Ω) = 44\:\text{W}\)

I need help figuring out the science question!!

I need help figuring out the science question!!

Answers

Answer:

Explanation:

Speed is the distance covered over the time taken to do so.

s = d/t = 45 m / 3 s = 15 m/s

A 1.0-kg ball falls to the floor. When it is 0.90 m above the floor, its potential energy exactly equals its kinetic energy. How fast is it moving

Answers

\(\text{Given that,}\\\\\text{Mass, m = 1 kg and height, h = 0.90 m}\\\\\text{Acoording to the condition,}\\\\mgh = \dfrac 12 mv^2\\\\\implies g h = \dfrac{v^2}2\\\\\implies v^2 =2gh\\\\\implies v = \sqrt{2gh} = \sqrt{2 \times 9.81 \times 0.90} = \sqrt{17.658} = 4.203 ~ \text{ms}^{-1}\)

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