5. If the voltage in a circuit is 24 V and the current is 2 A, what's the total power in the circuit?
O A. 48 W
O B. 72 W
O C. 102 W
O D. 6 W

Answers

Answer 1

Answer:

The correct answer is a) 48 W

Explanation:

P = I * U

P = 2A * 24 V

P = 48 W


Related Questions

A bowling ball hits a single stationary pin at 59.1 m/s. The bowling ball and pin have masses of 41.7kg, and 4.17 kg, respectively. After the collision the bowling ball is moving at 48.35m/s. What is the velocity of the pin after the collision?
Two vehicles get into a head on collision. Consider the collision perfectly inelastic. Vehicle 1 has a mass of 51.3kg and a velocity of 50.1m/s. Vehicle 2 has a mass of 100kg and a velocity of 47.2m/ s. What is the velocity of the cars after they collide?

A bowling ball hits a single stationary pin at 59.1 m/s. The bowling ball and pin have masses of 41.7kg,

Answers

1) The velocity of the pin after the collision is 107.4 m/s.

2) The velocity of the two cars as the collision is inelastic is 48.2 m/s.

What is the velocity after collision?

We know that by the principle of the conservation of linear momentum, the momentum before Collison is equal to the total momentum after collision. Now we have to use this principle in the both questions that we have here.

1) Given that;

Total momentum before collision = Total momentum after collision

(41.7 * 59.1) + (4.17 * 0) = (41.7 * 48.35) + ( 4.17 * v)

We then have;

2464 + 0 = 2016 +  4.17v

2464 - 2016 = 4.17v

v = 2464 - 2016 /4.17

v = 107.4 m/s

2) Given that;

Total momentum before collision = Total momentum after collision

(51.3 * 50.1) + (100 * 47.2) = (100 +  51.3)v

2570 + 4720 = 151.3v

v = 2570 + 4720/151.3

v = 48.2 m/s

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Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of 7.5 10-3 m2 and supports a load of 4.5 104 N. Young's modulus for steel is 210 ✕ 109 N/m2.

Answers

Yes I think he was just asking me if you

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?

40m/s2

30m/s2

20m/s2

72m/s2

Answers

Answer:

\(20m/s^2\)

Explanation:

Solution is attached. I apologize if it is a little messy.

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.What is its acceleration?40m/s230m/s220m/s272m/s2

Consider a regular solution, for which energy
w =5 kJ/mol
At what temperature, in K, will a miscibility limit emerge?

Answers

At room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.

What is temperature?

Temperature directs the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles, more the temperature.

Hence, at room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.

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Light travelling in air striked a flat piece of uniformly thick glass at an incident of 60. If the index refraction of the glass is 1.50 what is the angle of refraction in the glass

Answers

Answer:

30.81°

Explanation:

Angle of refraction= sin⁻¹ 0.5122 = 30.81°.

Hope this helped!

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Atoms with atomic number ____ or less will not undergo fission.

Answers

26

I hope its helped you a lot good luck

Which law of thermodynamics does each of the following scenarios violate (if any)?

A machine that pulls all thermal energy out of a refrigerated space
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed


A machine that can pull 1000J of heat out of a refrigerated space and into a warmer space without external work
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

A machine that can create 1000J of heat from 100J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

A machine that can pull 1000J of heat out of a refrigerated space and put 1500J of heat into a warmer space if it uses 500J of external work

1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

Answers

Below are the required answers and explanations for each of the scenarios listed.

1. A machine that pulls all thermal energy out of a refrigerated space: This violates the second law of thermodynamics. This is because the second law of thermodynamics states that no heat engine can have an efficiency of 100 percent, and no heat transfer can occur from a colder to a warmer object without external work being done.

2. A machine that can pull 1000J of heat out of a refrigerated space and into a warmer space without external work: This violates the second law of thermodynamics. The second law of thermodynamics states that no heat transfer can occur from a colder to a warmer object without external work being done.

3. A machine that can turn 1000J of heat directly into 1000J of electricity: This does not violate any of the laws of thermodynamics.

4. A machine that can create 1000J of heat from 100J of electricity: This does not violate any of the laws of thermodynamics.

5. A machine that can pull 1000J of heat out of a refrigerated space and put 1500J of heat into a warmer space if it uses 500J of external work: This does not violate any of the laws of thermodynamics.

a) Option 2 is correct answer.

b) Option  2 is correct answer.

c) Option 4 is correct answer.

d) Option 4 is correct answer

e) Option 4 is correct answer.

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The first charged object is exerting a force on the second charged object. Is the second charged object necessarily exerting a forcer on the first?

Answers

Answer:

Explanation:

Of course because it's Newton's Law that if body A exerts force on body B, then body B will exert equal but opposite force on body A.

HAPPY LEARNING:)

The first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first is correct.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Newton's third law states that for every action (force) in nature there is an equal and opposite reaction, from that we can understand when force is exerted on first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first.

The first charged object is exerting a force on the second charged object. The second charged object necessarily exerting a force on the first is correct.

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How do you get c and d?

A positive charge of magnitude Q1 = 0.85 nC is located at the origin. A negative charge Q2 = −7.5 nC is located on the positive x-axis at = 15.5 cm from the origin. The point P is located at = 6.5 cm above the charge Q2.

a) Sketch the directions of Q1, Q2, and on the figure. Make sure to label your arrows.

b) Determine the magnitudes of E1 and E2 at point P.

c) Determine the x and y components of E1 at point P.

d) Determine the x and y components of E2 at point P.

e) Determine the magnitude and direction of the net electric field at point P due to the two charges.

How do you get c and d?A positive charge of magnitude Q1 = 0.85 nC is located at the origin. A negative

Answers

Answer:

of the net electric field at point P due to the two charges.

Explanation:

The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?

Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.

Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!

Answers

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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1. Is it possible for the ball to move so quickly that the angle between the cable and vertical post stays at ninety degrees?
2. When the ball is moving in a horizontal circle, what vertical force (or component) balances gravity?
3. What happens to the centripetal force as the length of the cord increases?

Answers

Answer:

Tetherball is an interesting game in which two players tries to hit the ball hard so that it goes around the

pole.Each time the player hits the ball, it's orbit rises higher off the ground.Let's understand the physics

behind this.The motion of a tetherball is governed by two forces.These two forces combine to generate a

net force, i.e. centripetal force.If the ball is moving more quickly, it requires a greater centripetal force,

which in turn requires a greater tension force.Since the ball's weight hasn't changed, the angle of the

tension force changes until the ball is in vertical equilibrium.

To access this physics simulation visit: http://goo.gl/xVdwgO Page 02Exploration Series www.ck12.org

Ball Mass : This slider controls the mass of the ball. A ball with more mass will have more inertia, requiring

a greater net force to accelerate it. A ball with more mass will ALSO have a greater gravitational force

acting on it. Watch both of these effects occur when you manipulate this slider.

Cable Length : This slider controls the length of the cable. A longer cable is capable of allowing a greater

circular radius of motion for the ball. It is important to remember that the radius of the circular motion is

NOT equal to the length of the cable. Instead, if you want to understand the size of the circle of the ball's

motion, ignore the cable and just imagine the path of the ball.

Ball Speed : This slider controls the speed of the ball - imagine a kid just hit the ball and it sped up. A ball

moving more quickly is also accelerating more quickly because its velocity is changing as it moves in a

circle (remember that changes in DIRECTION of velocity 'count' as changes to velocity).

Force Diagram : This allows you to turn on or off the diagram of the forces acting on the ball. Look for the

ball to be in vertical force balance, which means the vertical component of tension is canceled by the

gravitational force. The ball should NOT be in horizontal force balance - it is accelerating towards the center

of the circle! It is important to note that this free body diagram should really be moving with the ball so that

To access this physics simulation visit: http://goo.gl/xVdwgO Page 03Exploration Series www.ck12.org

the tension force always points along the cord - we are just showing the forces at the moment the ball is at

the furthest-right on this screen.

Centripetal force vs Tetherball speed : This is a plot of centripetal force required to keep the ball in

circular orbit about the pole as a function of its speed. As expected, a more quickly-moving ball is changing

in velocity more often in a given amount of time, and so is accelerating more. This greater (centripetal, or

center-pointing) acceleration requires a greater net force.

Explanation:

(Please help it will mean a lot)
(
1. The graph above represents the nuclear decay of a radioactive element, measured using a radiation-detecting device. What is the half-life, in days, of this hypothetical element?


2. If the half-life of a given substance is 65 days, how long will it take for a
100-gram sample of the substance to decay until there is only 25 grams of the radioactive material remaining?


3. If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to
50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.


4. If a 500.0 g sample of technetium-99 decays to 62.5 g of technetium-99 remaining in 639,000 years, what is the half-life of technetium-99

(Please help it will mean a lot)(1. The graph above represents the nuclear decay of a radioactive element,

Answers

1. The half-life is 2 days

2. The time taken is 130 days

3. The half-life is 30 minutes

4. The half-life is 213000 years

1. How do i determine the half-life?

The half-life of a material is the time taken for half the material to decay.

From the above diagram, the following were obtained

Original amount = 80Half of original amount = 80 / 2 = 40Half-life =?

From the diagram, we can see that the time taken to get to half of the element is 2 days.

Thus, we can conclude that the half-life is 2 days

2. How do i determine the time taken?

First, we shall determine the number of half lives that has elapsed. This is obtained as follow:

Original amount (N₀) = 100 gAmount remaining (N) = 25 gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 100 / 25

2ⁿ = 4

2ⁿ = 2²

n = 2

Finally, we shall determine the time taken. Details below

Half-life (t½) = 65 daysNumber of half-lives (n) = 2 Time taken (t) =?

t = n × t½

t = 2 × 65

Time taken = 130 days

3. How do i determine the half-life?

First, we shall determine the number of half lives that has elapsed. This is obtained as follow:

Original amount (N₀) = 200 gAmount remaining (N) = 50 gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 200 / 50

2ⁿ = 4

2ⁿ = 2²

n = 2

Finally, we shall determine the half-life. Details below

Number of half-lives (n) = 2 Time taken (t) = 60 minutes Half-life (t½) = ?

t½ = t / n

t½ = 60 / 2

Half-life = 30 minutes

4. How do i determine the half-life?

First, we shall determine the number of half lives that has elapsed. This is obtained as follow:

Original amount (N₀) = 500 gAmount remaining (N) = 62.5 gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 500 / 62.5

2ⁿ = 8

2ⁿ = 2³

n = 3

Finally, we shall determine the half-life. Details below

Number of half-lives (n) = 3 Time taken (t) = 639000 yearsHalf-life (t½) = ?

t½ = t / n

t½ = 639000 / 3

Half-life = 213000 years

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A hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.2 m/s , a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic

Answers

Answer:

The speed of the raindrop  and the mosquito is 8.02 m/s.

Explanation:

mass of mosquito = m

mass of drop = 45 m

initial velocity of mosquito, u = 0 m/s  

initial velocity of drop,  u' = 8.2 m/s

During the inelastic collision, the momentum of the system is conserved.  

Let the speed of rain drop and the mosquito is v.

Use the conservation of momentum

m x u + 45 m x u' = (m +  45 m) v

m x 0 + 45 m x 8.2 = 46 m x v

v = 8.02 m/s

How does energy move in relation to the medium in a longitudinal wave?

Answers

Answer:

In a transverse wave.ok now u know

Bài 4: Một vật dao động điều hòa với phương trình x = 4cos(4πt - π/3) cm.
a)Viết phương trình vận tốc của vật.
b) Xác định vận tốc của vật ở các thời điểm t = 0,5 (s)

Answers

Answer:

g

Explanation:

Which of the following is the best hypothesis?
A. The size of ice crystals in clouds depends on the air temperature.
B. It is fun to fly an airplane through large cumulus clouds.,
C. How big can ice crystals get inside a cloud?
D. Clouds are always found in the atmosphere.

Answers

A the size of ice crystals….

Describe the unique characteristics of fluids

Answers

ANS:-

The characteristics of fluid are as given below:

densitypressureviscositycompressibility

#HOPE IT HELPED YOU#

compressibility, pressure, buoyancy, viscosity, and surface tension are characteristic of a fluids.

What is fluid ?

Fluid is a material which can flow. gas and liquid is called as fluid. If a fluid is not compressible and it has zero viscosity it is considered an ideal fluid.

Fluids have no definite shape.

it has many characteristics,

Compressibility, different fluids have different compressibility, only gas is compressible, liquids are incompressible.  

Pressure - all flued have pressure associated with them, when a gas is enclosed in a box, gas molecule have kinetic energy which collides on the wall of the box and pressurize it. Flowing water have pressure.

buoyancy - when a small object is falling in the flued a force called buoyance force is acted upon it which opposes falling motion.  

Viscosity - it is relative motion between two adjacent layer, each liquid has different viscosity.    

surface tension - it is the force per unit tangential line on the region which acts as stretched membrane.

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please help (science)

Plate Boundaries on Earth
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.

Open the worksheet to get started. Use the criteria below to see what you should include in this assignment.

Row 1: Plate Boundary (Movement)

Write the type of plate boundary: convergent, divergent, transform.

Write the correct description for each in parentheses below the name: sliding, separating, or colliding.

Row 2: Diagram

Draw a diagram or illustration of the plate movement at the plate boundary. Include arrows to show whether the plates are colliding, separating, or dividing.

Row 3: Lithosphere (Created or Destroyed)

Identify whether the Earth's crust is created or destroyed at this type of plate boundary.

Row 4: Geologic Process

Give at least one example of the type of process or geological event that occurs on the Earth when the plates move in this manner.

Row 5: Real World Example

Give at least one example of a place on the planet where this type of plate movement is demonstrated along the plate boundary. Include both the location and name of the example.

Row 6: References

This assignment requires you to conduct formal research. When researching, make sure to use only valid and reliable resources; Wikipedia, blogs, and answer sites are not valid or reliable. References must be cited in APA format. Please provide your references in APA format in this column.

please help (science)Plate Boundaries on EarthPlate boundaries represent parts of the Earth where plates

Answers

Plate Boundaries on Earth assignment involves identifying and illustrating different types of plate movements at the Earth's contact points.

Here are the steps to be followed:

Step 1: Understanding the Assignment Requirements

Read through the assignment instructions carefully to ensure a clear understanding of the tasks and expectations.

Step 2: Research

Start by conducting research on plate boundaries, their types, movements, and associated geological processes. Use reliable and valid resources such as scientific journals, textbooks, and reputable websites. Take notes on the different plate movements, their characteristics, and examples of each.

Step 3: Worksheet Setup

Create a table or chart with six rows corresponding to the six categories specified in the assignment instructions: Plate Boundary (Movement), Diagram, Lithosphere (Created or Destroyed), Geologic Process, Real World Example, and References.

Step 4: Fill in Row 1 - Plate Boundary (Movement)

In the first row, list the three types of plate boundaries: convergent, divergent, and transform. Next to each type, write the correct description in parentheses: sliding, separating, or colliding.

Step 5: Fill in Row 2 - Diagram

In the second row, draw a diagram or illustration for each type of plate movement. Use arrows to indicate the direction of movement and whether the plates are colliding, separating, or sliding past each other.

Step 6: Fill in Row 3 - Lithosphere (Created or Destroyed)

In the third row, identify whether the Earth's crust is created or destroyed at each type of plate boundary. Note the corresponding effects of plate movement on the lithosphere.

Step 7: Fill in Row 4 - Geologic Process

In the fourth row, provide at least one example of a geologic process or event that occurs as a result of plate movement at each type of boundary. This could include processes like subduction, seafloor spreading, or earthquakes.

Step 8: Fill in Row 5 - Real World Example

In the fifth row, give at least one real-world example of a location where each type of plate movement is demonstrated along a plate boundary. Include the name of the location and its corresponding plate boundary type.

Step 9: Fill in Row 6 - References

In the final row, provide the references for your research in APA format. Include the sources you used to gather information on plate boundaries, plate movements, and related geological processes.

Step 10: Review and Proofread

Review the completed assignment, ensuring that all information is accurate and properly cited. Proofread for any grammatical or spelling errors.

Note: The specific format and layout of the worksheet may vary based on your preference or instructor's instructions. Make sure to follow any specific formatting guidelines provided by your instructor.

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What is the best anime show to watch? I need to watch some more anime and I need some shows lol

Answers

Try watching Demon Slayer on Netflix. It's a new series, and it's very entertaining to watch!! :)

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What is the best anime show to watch? I need to watch some more anime and I need some shows lol

Before the collision, the toy train is travelling at 0.5 m/s. The train and the stationary
truck both have a mass of 75 g.
Calculate the momentum of the toy train before the collision?

Answers

Answer:

Explanation:

p = mv = 0.075(0.5) = 0.0375 kg•m/s

Give two examples of situations or application where electronic circuits are used

Answers

a battery running to a transistor to regulate voltage to then power an LED lightbulb.

The matress of a water bed is 2.0m wide and 30.0cm deep.When the water bed is in its normal condition,the area contact with the floor with 4.0

Answers

The mattress of a water bed is 2.0m wide and 30.0cm deep. When the water bed is in its normal condition, the area in contact with the floor with 4.0 m², then the weight of the water in the mattress would be 11772 N.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

As given in the problem The mattress of a water bed is 2.0m wide and 30.0cm deep.When the water bed is in its normal condition, the area in contact with the floor with 4.0 m².

At normal pressure and temperature, the density of the water is 1000 kg/m³

The mass of the mattress of water

mass = density×volume

= 1000 ×4 ×0.3

= 1200 kg

The weight of the mattress of water

W = mg

= 1200×9.81

=11772 N

Thus, the weight of the mattress of the water would be 11772 N

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The question seems incomplete, the complete question is

The mattress of a water bed is 2.0m wide and 30.0cm deep. When the water bed is in its normal condition, the area in contact with the floor with 4.0 m², Find the weight of the mattress of the water

Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.

Answers

The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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What is an electric current?

a
a potential difference
b
a piece of wire
c
A flow of charge within a circuit
d
A light bulb
What is an electric current?

a
a potential difference
b
a piece of wire
c
A flow of charge within a circuit
d
A light bulb

Answers

Answer:

c

Explanation:

mark brainleyest plz if right

Four objects labeled W, X, Y, and Z have different forces applied to them. All of the horizontal forces acting on each object are shown in the diagrams. Identify the example(s) that demonstrate(s) a change in motion.

Four objects labeled W, X, Y, and Z have different forces applied to them. All of the horizontal forces

Answers

The horizontal forces acting on each object are shown in the diagrams would only cause a change in motion in diagram A

When does force cause a change in motion?

A force causes a change in motion when it is unbalanced, meaning there is a net force acting on an object. According to Newton's first law of motion, an object at rest will remain at rest, and an object in motion will continue to move in a straight line at a constant speed, unless acted upon by an unbalanced force.

When an unbalanced force acts on an object, it will accelerate, meaning its velocity will change.

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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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Given the following information, what is the magnitude of the sum of the three
vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]
Express your answer to two decimals

Answers

Answer:

31.84

Explanation:

To find the magnitude of the sum of the three vectors, first, we need to add the vectors component-wise. Then, we can find the magnitude of the resulting vector.

Add the vectors component-wise:

Vector A + Vector B + Vector C = [13+13+0, 8+0+1, 0+8+8] = [26, 9, 16]

Find the magnitude of the resulting vector:

The magnitude of a vector [x, y, z] is given by the formula:

magnitude = sqrt(x^2 + y^2 + z^2)

Plugging in the values from the resulting vector:

magnitude = sqrt(26^2 + 9^2 + 16^2)

magnitude = sqrt(676 + 81 + 256)

magnitude = sqrt(1013)

magnitude ≈ 31.84

The magnitude of the sum of the three vectors is approximately 31.84.

Hope this helps!

4. Kepler-22b is an extrasolar planet orbiting within the habitable zone of the Sun-like star. It has a mass that is 36 times the mass of Earth and a radius that is 2.4 times that of Earth. What is the acceleration due to gravity on Kepler-22b?
answers:
a. 3g/100
b. g/33
c. 3g/10
d. 9g/20​

Answers

The acceleration due to gravity on Kepler-22b would be 10.9 m/s^2.

Acceleration due to gravity

The acceleration due to gravity on a planet can be calculated using the formula:

g = GM/r^2

where G is the gravitational constant, M is the mass of the planet, r is the radius of the planet.

For Kepler-22b, we are given that its mass is 36 times that of Earth, so its mass is:

M = 36M_E

where M_E is the mass of Earth. We are also given that its radius is 2.4 times that of Earth, so its radius is:

r = 2.4R_E

where R_E is the radius of Earth.

Substituting these values into the formula for g, we get:

g = GM/r^2

g = G(36M_E)/(2.4R_E)^2

g = G(36M_E)/(5.76R_E^2)

g = (36/5.76)G(M_E/R_E^2)

g = 6.25G(M_E/R_E^2)

The value of g for Earth is approximately 9.81 m/s^2. Substituting this value for G, M_E, and R_E, we get:

g = 6.25(6.674×10^-11 N·m^2/kg^2)(5.97×10^24 kg)/(6.38×10^6 m)^2

g = 10.9 m/s^2

Therefore, the acceleration due to gravity on Kepler-22b is approximately 10.9 m/s^2.

So the answer is not one of the options given.

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find a vector(s) of length √15m in the x-z plane that is perpendicular to the vector A= (2i+3j+k) m

Answers

The vector that is perpendicular to the original vector is vector B = (√3 i  - 2√3 k )

What is the vector that is perpendicular to the original vector?

The vector that is perpendicular to the original vector is calculated as follows;

Let the vector = B = (xi + 0j + zk)

The dot product of A and B must be equal to zero.

A . B = (2i + 3j + k) . (xi + 0j + zk)

A.B = 2x  + z = 0

2x = - z

The product of the vector must be √15 and it is calculated as;

√ (x² + z²) = √15

x² + z² = 15

Substitute the value of x for z;

x²  +  (-2x)² = 15

x² + 4x² = 15

5x² = 15

x² = 15/5

x² = 3

x = √3

z = - 2x

z = -2√3

The vector B = (√3 i  - 2√3 k )

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A parallel plate capacitor is constructed using two square metal sheets, each of side L = 10 cm. The plates are separated by a distance d = 2 mm and a voltage applied between the plates. The electric field strength within the plates is E = 4000 V/m. The energy stored in the capacitor is

Answers

Answer:

The energy stored is 1.4 x 10^-9 J.

Explanation:

Side of square, L = 10 cm = 0.1 m

Distance, d = 2 mm = 0.002 m

Electric field, E = 4000 V/m

The energy stored in the capacitor is

\(U = 0.5 C V^2\)

The capacitance is given by

\(C = \frac{\varepsilon o A}{d}\\\\So \\\\U = 0.5\frac{\varepsilon o A}{d}\times E^2 d^2\\\\U = 0.5\times 8.85\times 10^{-12}\times 0.1\times 0.1\times 4000\times 4000\times 0.002\\\\U = 1.4\times10^{-9} J\)

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