Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, is powered by the discharge of a 1.33 F capacitor charged to 77.9 kV. Rosa rightly reckons that she can enhance the effect of each laser pulse by increasing the electric potential energy of the charged capacitor. She could do this by replacing the capacitor's filling, whose dielectric constant is 427, with one possessing a dielectric constant of 983.
A. Find the electric potential energy of the original capacitor when it is charged.
B. Calculate the electric potential energy of the upgraded capacitor when it is charged.

Answers

Answer 1

Answer:

A) 4.035 × 10^(9) J

B) 9.29 × 10^(9) J

Explanation:

We are given;

Capacitance of the original capacitor; C = 1.33 F

Potential difference given to the original capacitor; V = 77.9 kV = 77.9 × 10³ V

A) The formula for Potential energy (U) for the original capacitor is given as:

U = ½CV²

Plugging in the relevant values, we have;

U = ½ × 1.33 × (77.9 × 10³)²

U = 4.035 × 10^(9) J

B) We are told that the capacitor with dielectric constant of 427, was replaced with one possessing a dielectric constant of 983.

Thus;

U = ½ × 1.33 × (983/427) × (77.9 × 10³)²

U = 9.29 × 10^(9) J


Related Questions

which statement below is FALSE? *
1 point
Gravity acts on any object with mass.
The closer objects are, the stronger the gravitational force between them.
The farther you are from the center of Earth, the less gravitational force you feel.
Gravitational force depends on what the object is made of.

Answers

Answer:

the farther you are from earth

Explanation:

It is this because when you get into space there is less gravity

The farafter you are from earch

Nate throws a basketball straight downward, letting it bounce once before Watching it. We can ignore air
resistance.
What is true about the acceleration and velocity of the ball on its way down (while in the air)?
Assume that upward is the positive direction,
Choose 1 answer:
Acceleration increases and velocity is negative and decreasing.
Acceleration remains constant and velocity is negative and decreasing,
Acceleration decreases and velocity is positive and increasing.
Acceleration remains constant and velocity is negative and increasing.

Answers

Answer:

D. Acceleration remains constant and velocity is negative and decreasing.

Explanation:

Khan Academy

You want to know how tall a cliff is, so you drop a rock off the edge. You estimate that
the rock has a mass of about 15 kg. You hear a splash 1.00 seconds later. How tall is the
cliff?

Answers

Analysing the Question:

Neglecting air resistance

We are given:

mass (m) = 15 kg

time taken by the rock to reach the water (t) = 1 second

height of the cliff (h) = h m

initial velocity of the rock (u) = 0 m/s  [ the rock was 'dropped' and not 'thrown' downwards]

acceleration of the rock due to gravity (a) = 9.8 m/s²

Finding the height to the cliff:

from the seconds equation of motion

s = ut + 1/2*at²

replacing the variables

h = (0)(1) + 1/2 * (9.8) *(1)²

h = 4.9 m

Therefore, the cliff is 4.9 m high

A 3-column table with 4 rows. The first column titled substances has entries aluminum, zinc, chromium, nickel. The second column titled density has entries 2.70 grams per centimeter cubed, 7.13 grams per centimeter cubed, 7.18 grams per centimeter cubed, 8.90 grams per centimeter cubed. The third column titled mass has entries 4.60 grams, 9.81 grams, 6.24 grams, 3.17 grams.
Use the information in the table to identify the metal with a volume of 1.38 cm3.

aluminum
zinc
chromium
nickel

Answers

Answer:rhe answer is zink

Explanation:i got he anwer rong and it say that one was right it is in ed geunity :)

Answer:

The answer is Zinc on Edegenuity.

Explanation:

ANSWER NOW PLS
Given the following images, choose the one that most likely represents an M-class star.

Star A is a yellow star. Star B is a blue star. Star C is a red star. Star D is a green star.

A
B
C
D

Answers

The answer is C because Class M stars are red

Plzzz hurry!! Pick 3 answer choices
Andrea ate a bowl of cereal for breakfast. Then, she played a game of soccer with her friends. During the game, Andrea became hot and started to sweet. Which three statements provide evidence of conservation of energy in this scenario?
A.The chemical energy in the cereal transformed to mechanical that Andrea used to play soccer.
B.The thermal energy of Andreas body caused the kinetic energy of surrounding air particles to increase.
C.The chemical energy in the cereal transformed to thermal energy that increased Andreas body temperature.
D.The mechanical energy of Andreas legs was created by the collision of her feet with the ground.

Answers

Answer:

A B and C are correct I think

The three statements that gives the proof with related to the conversation of energy should be option A, option B, and option C.

What is a conversation of energy?

It is the principle of physics where the energy of the bodies should be interacted and remained the same. In this, the chemical energy in the cereal that shifted to the mechanical should be considered. The thermal energy resulted the kinetic energy so that there is the increment of the air particles. And, the chemical energy in the cereal should be shifted to the thermal energy should raise the temperature of the body.

Learn more about conversation of energy here: https://brainly.com/question/11234965?referrer=searchResults

a ball is thrown straight upward with an initial velocity of 8 m/s. the magnitude of the final velocity of the ball is
A. 0 m/s
B. 4 m/s
C. 8 m/s
D. 16 m/s

Answers

Assuming no air restance the speed when the ball comes back to the starting point will be again 8ms but directed DOWNWARDS; we can express this by saying that it will equal to −8ms adding a minus to indicate the downward direction.

To find the time of flight we use:

vf=vi+at

Where:

a is the acceleration of gravity (downwards, −9.8ms2);

vi=+8ms

vf=−8ms

So, we get:

−8=8−9.8t

−16=−9.8t

t=169.8≈1.6s

The answer is "B"

Answer link

why exactly do people use simple
machines like a pulley

Answers

They can change the direction of force which can result in easier movement.

Your friend has been hired to design the interior of a special executive express elevator for a new office building. This elevator has all the latest safety features and will stop with an acceleration of g/4 in the case of an emergency. The management would like a decorative lamp hanging from the unusually high ceiling of the elevator. He designs a lamp which has three sections which hang one directly below the other. Each section is attached to the previous one by a single thin wire, which also carries the electric current. The lamp is also attached to the ceiling by a single wire. Each section of the lamp weighs 10.0 N. Because the idea is to make each section appear that it is floating on air without support, he wants to use the thinnest wire possible. Unfortunately the thinner the wire, the weaker it is.

Required:
Calculate the force on each wire in case of an emergency stop.

Answers

Answer:

The force on each wire is  

   [tex]T_1  = 12.5 \ N  [/tex]

     [tex]  T_2  =   25 \  N  [/tex]

    [tex]  T_3  =  50  \  N  [/tex]

Explanation:

From the question we are told that

   The acceleration at which the elevator will stop is  [tex]a =  \frac{g}{4}[/tex]

    The weight of each section of the wire is  [tex]W =  \ 10 \ N[/tex]

Generally [tex]W_1 = W_2 = W_3[/tex] here  [tex]W_1 , W_2 , W_3[/tex] are weight at each section

Generally considering the first section, the force acting along the y-axis  is mathematically represented as

       [tex]\sum F_y_1 =  T_1 - W_1 =  m *  a[/tex]

Here [tex]T_ 1[/tex] represents the tension on the wire at the first section while  [tex]W_1[/tex] represents the weight  of the lamp at the first section

So

      [tex]T_1  - 10 = m *  \frac{g}{4}[/tex]

=>    [tex]T_1  - 10 =  \frac{W_1}{4}[/tex]

=>    [tex]T_1  - 10 =  \frac{10}{4}[/tex]

=>    [tex]T_1  = 12.5 \ N  [/tex]

Generally considering the second section, the force acting along the y-axis  is mathematically represented as

      [tex]\sum F_y_2 =  T_2 -T_1- W_2 =  m *  a[/tex]

=>   [tex]  T_2 - T_1- 10 =  m *  \frac{g}{4}[/tex]

=>   [tex]  T_2 - 12.5- 10 =    \frac{W_2}{4}[/tex]

=>  [tex]  T_2- 12.5- 10 =    \frac{10}{4}[/tex]

=>   [tex]  T_2  =   25 \  N  [/tex]

Generally considering the third  section, the force acting along the y-axis  is mathematically represented as

    [tex]\sum F_y_3 = T_3- T_2 -T_1- W_3 =  m *  a[/tex]

    [tex]  T_3 - T_2 - T_1- 10 =  m *  \frac{g}{4}[/tex]

      [tex]  T_3 - 25 - 12.5- 10 =    \frac{W_2}{4}[/tex]

       [tex]  T_3 - 25 - 12.5- 10 =    \frac{10}{4}[/tex]

       [tex]  T_3  =  50  \  N  [/tex]

A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed out of the plane of the page. The external field decreases to 0.020 T in 12 milliseconds. What is the magnitude of the total change in the external magnetic flux enclosed by the coil

Answers

Answer:

Δϕ = -2.89 x 10^-4 Wb

Explanation:

Given that A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed out of the plane of the page. The external field decreases to 0.020 T in 12 milliseconds. What is the magnitude of the total change in the external magnetic flux enclosed by the coil

Let ΔB = Change in magnetic field

A = cross sectional area = 8.5 cm^2

t = time = 12ms

Flux change = Δϕ = (ΔB*A) / t

Δϕ =  [(0.02 - 0.06)x(8.5 x 10^-2)^2 ] / 0.012

Δϕ = (-0.04 x 7.225^-3) / 0.012

Δϕ = -2.89 x 10^-4 Wb

Therefore, the magnitude of the total change in the external magnetic flux enclosed by the coil is -2.89 x 10^-4 Wb

A magnet was cut in half to form the pieces shown. Which image best represents the original magnet?

IT'S OPTION A!!

Answers

Answer : The correct option is (A).

Explanation :

As we know that a magnet is an object which produces an invisible magnetic field and attract metals like iron, nickel, cobalt.

The magnets have two poles that is a north pole and a south pole.

If you take a magnet and cut a magnet in half then two pieces would separate and form new sets of poles. That means, when we cut a magnet of south-north pole then it gives two pieces of magnet like south-north and south-north pole.

From the given options we conclude that the option A is the representation of original image of magnet.

Hence, the correct option is (A).

Answer:

A

Explanation:

IMAGE

In 1 second how many kilometers does light can travel

Answers

Answer:

299,792 kilometers

Explanation:

Light travels at a speed of 299,792 kilometers per second; 186,287 miles per second.

Answer:

299,792

Explanation:

Hope this helped, if not, don’t hate.

(b) You start to move in the direction you found in part (a) at a speed of 3 cm/sec. How fast is the concentration changing

Answers

Complete Question

The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z)=x^2+y^4+2x^2z^2 mg/cm3 You are at the point (1,1,1).

a. In which direction should you move if you want the concentration to increase the fastest?

I keep getting <5,2,8> for this answer and it says it is incorrect

You start to move in the direction you found in part (a) at a speed of 4 cm/sec. How fast is the concentration changing?

Answer:

a

  [tex]\vec \Delta  F (1 ,1 , 1) =  < 6  , 4 , 4 >[/tex]

b

 [tex] M =  2 \sqrt{ 17 }[/tex]

Explanation:

From the question we are told that

  The equation is [tex]F(x,y,z)=x^2+y^4+2x^2z^2[/tex]

differentiating with respect to x

     [tex]F_x (x, y, z) =  2x + 4xz^2[/tex]

differentiating with respect to y

     [tex]F_y (x, y, z) =  4y^3[/tex]

differentiating with respect to z

     [tex]F_z (x, y, z) =  4x^2z[/tex]

Gnerally the rate of change of the salt concentration is mathematically represented as

     [tex]\vec \Delta  F (x ,y , z) =  <F_x  , F_y , F_z >[/tex]

=>  [tex]\vec \Delta  F (x ,y , z) =  <2x + 4xz^2  ,4y^3 , 4x^2z >[/tex]

At  the point (1,1,1)

    [tex]\vec \Delta  F (1 ,1 , 1) =  <2(1) + 4(1)(1)^2  ,4(1)^3 , 4(1)^2(1) >[/tex]

=> [tex]\vec \Delta  F (1 ,1 , 1) =  < 6  , 4 , 4 >[/tex]

generally rate at which the concentration is changing is mathematically represented as

     [tex]M=  \sqrt{ 6^2 +4^2 + 4^2}[/tex]  

=>    [tex]M=  \sqrt{ 36 + 16 + 16}[/tex]  

=>    [tex]M=  \sqrt{68}[/tex]

=>    [tex]M =  \sqrt{ 4 *  17 }[/tex]

=>    [tex]M=  2 \sqrt{ 17 }[/tex]

On a hot day, you sit on the edge of a pool and dip your feet into the water, causing changes to occur that are
related to the physical and thermal properties of your feet and of the water. Select the statements that
accurately describe what is happening, in terms of the heat and temperature of the objects and substances.
There may be more than one accurate statement.

A. Cold from the water reduces the temperature of your feet.

B. Heat from your feet raises the temperature of the water.

C. Your feet transfer heat into the surrounding water, reducing the temperature of your feet.

D. Cold from the water moves into your warm feet.

Answers

Answer:

B and D

Explanation:

The movement of kinetic energy from one media or item to another, or from an energy source to a medium or object, is referred to as heat. The correct statements are B and C.

What is Heat?

The movement of kinetic energy from one media or item to another, or from an energy source to a medium or object, is referred to as heat. Energy may be transferred in three ways: radiation, conduction, and convection.

The statement that is correct in terms of heat and temperature are:

B. Heat from your feet raises the temperature of the water.

C. Your feet transfer heat into the surrounding water, reducing the temperature of your feet.

These two statements are correct because two statements out of four are stating about heat transfer is due to temperature difference.

Hence, the correct statements are B and C.

Learn more about Heat here:

https://brainly.com/question/1429452

#SPJ2

My body is not just something that I have, my body is also I am.

Answers

Answer:

OK IS THERE A ANSWER TO THIS

Explanation:

Please tell me which on it is!

Answers

Answer

.0003

Explanation:

A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. We observe that at room temperature (20.0°C) the ammeter reads 18.5 A, while at 92.0°C it reads 17.2 A. We can ignore any thermal expansion of the rod. Find
a. the resistivity at 20.0°C and
b. the temperature coefficient of resistivity at 20.0°C for the material of the rod.

Answers

Answer:

a) 1.06*10^-5

b) 0.00105 °C^-1

Explanation:

Given that

Length of the cylinder, L = 1.5 m

Radius of the cylinder, r = 0.25 cm

Voltage across the rod, V = 15 V

I• at Temperature T• = 20° C is 18.5 A

I at Temperature T = 90° C is 17.2 A

See attachment for calculations

An object increases its velocity from 22 m/s to 36 m/s in 5.0 s. What is the average velocity of the object?

Answers

Answer:

[tex]a=2.8\ m/s^2[/tex]

Explanation:

Given that,

Initial velocity of an object, u = 22 m/s

Final velocity of an object, v = 36 m/s

Time, t = 5 s

It can be assumed to find the average acceleration of the object instead of average velocity.

The change in velocity per unit time is equal to average acceleration of an object. It can be given by :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{36\ m/s-22\ m/s}{5}\\\\\a=\dfrac{14}{5}\ m/s^2\\\\a=2.8\ m/s^2[/tex]

So, the acceleration of the object is [tex]2.8\ m/s^2[/tex].

What happens when a proton is placed directly in the path of the proton cannon?

Answers

Answer:coherent light

Explanation:

What is the common temperature of the final equilibrium state of the system? A 10.0 kg block of ice at 0.0°C is placed into 10 kg water bath at 90.0C in an isolated container. The system eventually comes to equilibrium at a common temperature. Ignore the effect of the container.

Answers

Answer:

The equilibrium temperature is 45°C

Explanation:

Given;

mass of block of ice, m₁ = 10 kg

mass of water, m₂ = 10 kg

initial temperature of the ice, t₁ = 0.0°C

initial temperature of water, t₂ = 90.0°C

let the equilibrium temperature = T

Apply the principles of mixture;

Heat lost by the water = heat gained by the ice

m₂c(90 - T) = m₁c(T - 0)

m₂(90 - T) = m₁(T - 0)

10(90 - T) = 10(T)

90 - T = T

90 = 2T

T = 90 / 2

T = 45°C

Therefore, the equilibrium temperature is 45°C

The corona is to the sun as ___ to earth


A. The atmosphere is

B. The oceans are

C. The seasons are

D. The moon is

Answers

A- The atmosphere is to earth

PLEASE HELP
At a circus, a human cannonball is shot from a cannon at 15m/s at an angle of 40° above horizontal. She
leaves the cannon 2m off the ground and lands in a net 1m off the ground. What height does she reach?
How much ground distance does she cover?

Answers

Answer:

Explanation:

[tex]a_{x}=0[/tex] [tex]v_{xo}= v_{o}cos(delta)t[/tex] [tex]a_{y}=-g[/tex] [tex]v_{yo}=sin[/tex]θ

X-direction                                     | Y-direction

[tex]x=x_o+v_{xo}t[/tex] ⇒ [tex]x=v_{xo}cos(delta)t[/tex] |

Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mmHg. The systolic and diastolic pressures of a healthy person are about 120 mmHg and 80 mmHg, respectively, and are indicated as 120/80. Express both of these gage pressures in kPa, psi, and meter water column.
Take the densities of water and mercury as 1000 kg/m3 and 13,600 kg/m3, respectively.
The high and low pressures, in kPa, are kPa and kPa, respectively.
The high and low pressures, in psi, are psi and psi, respectively.
The high and low pressures, in meter water column, are m and m, respectively.

Answers

Answer:

a) High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.

b) High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.

c) High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.

Explanation:

a) High and low pressures in kilopascals:

101.325 kPa equals 760 mm Hg, then, we can obtain the values by a single conversion:

[tex]p_{high} = 120\,mm\,Hg\times \frac{101.325\,kPa}{760\,mm\,Hg}[/tex]

[tex]p_{high} = 15.999\,kPa[/tex]

[tex]p_{low} = 80\,mm\,Hg\times \frac{101.325\,kPa}{760\,mm\,Hg}[/tex]

[tex]p_{low} = 10.666\,kPa[/tex]

High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.

b) High and low pressures in pounds per square inch:

14.696 psi equals 760 mm Hg, then, we can obtain the values by a single conversion:

[tex]p_{high} = 120\,mm\,Hg\times \frac{14.696\,psi}{760\,mm\,Hg}[/tex]

[tex]p_{high} = 2.320\,psi[/tex]

[tex]p_{low} = 80\,mm\,Hg\times\frac{14.696\,psi}{760\,mm\,Hg}[/tex]

[tex]p_{low} = 1.547\,psi[/tex]

High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.

c) High and low pressures in meter water column in meters water column:

We can calculate the equivalent water column of a mercury column by the following relation:

[tex]\frac{h_{w}}{h_{Hg}} = \frac{\rho_{Hg}}{\rho_{w}}[/tex]

[tex]h_{w} = \frac{\rho_{Hg}}{\rho_{w}}\times h_{Hg}[/tex] (Eq. 1)

Where:

[tex]\rho_{w}[/tex], [tex]\rho_{Hg}[/tex] - Densities of water and mercury, measured in kilograms per cubic meter.

[tex]h_{w}[/tex], [tex]h_{Hg}[/tex] - Heights of water and mercury columns, measured in meters.

If we know that [tex]\rho_{w} = 1000\,\frac{kg}{m^{3}}[/tex], [tex]\rho_{Hg} = 13600\,\frac{kg}{m^{3}}[/tex], [tex]h_{Hg, high} = 0.120\,m[/tex] and [tex]h_{Hg, low} = 0.080\,m[/tex], then we get that:

[tex]h_{w, high} = \frac{13600\,\frac{kg}{m^{3}} }{1000\,\frac{kg}{m^{3}} } \times 0.120\,m[/tex]

[tex]h_{w, high} = 1.632\,m[/tex]

[tex]h_{w, low} = \frac{13600\,\frac{kg}{m^{3}} }{1000\,\frac{kg}{m^{3}} } \times 0.080\,m[/tex]

[tex]h_{w, low} = 1.088\,m[/tex]

High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.

One strategy in a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second one at low angle times to arrive before or at the same time as the first one . Assume both snowballs are throw with a speed of 33.2 m/s. The first o e is thrown at an angle of 57 degrees with respect to the horizontal. At what angle should the second snowball be throw to arrive at the same point as the first? Answer in units of degrees

Answers

Answer:

33°

Explanation:

We are given;

Speed at which both snowballs are thrown; v = 33.2 m/s

Angle at which snowballs are thrown with respect to the horizontal; θ = 57°

Now,we want to find out the angle at which the second snowball should be thrown in order to arrive at the same point as the first.

To calculate this angle, we will use complementary angle concept.

Now, because the target is in the same place, there will be two launch angles that will make the snow ball to be placed on the target.

The is calculated from;θ1 = 45° - (57° - 45°) = 33°

In some cases, neither of the two equations in the system will contain a variable with a coefficient of 1, so we must take a further step to isolate it. Let's say we now have
3C+4D = 5
2C+5D = 2
None of these terms has a coefficient of 1. Instead, we'll pick the variable with the smallest coefficient and isolate it. Move the term with the lowest coefficient so that it's alone on one side of its equation, then divide by the coefficient. Which of the following expressions would result from that process?
a. C=53−43D
b. C=1−52D
c. D=25−25C
d. D=54−34C

Answers

Answer:

a) C = (5-4D)/3

Explanation:

Given the simultaneous equation

3C+4D = 5 .... 1

2C+5D = 2 .... 2

In order to isolate one of the variables, we will make one of the variables in any of the equation.

Using equation 1:

3C+4D = 5

Make C the subject of the formula:

Subtract 4D from both sides of the equation.

3C+4D-4D= 5-4D

3C = 5-4D

Divide both sides by 3:

3C/3 = (5-4D)/3

C = (5-4D)/3

Hence the expression that would result from the process is C = (5-4D)/3

A positron is a particle similar to an electron, but with the opposite charge of an electron. If a positron and an electron collide, sometimes both the electron and positron disappear, and two photons are created. This is an example of A positron is a particle similar to an electron, but with the opposite charge of an electron. If a positron and an electron collide, sometimes both the electron and positron disappear, and two photons are created. This is an example of potential energy:

a. being converted into thermal energy.
b. rest-mass energy being converted into kinetic energy.
c. kinetic energy being converted into rest-mass energy.
d. rest-mass energy being converted into radiative energy.

Answers

Answer:

The answer is "Option d".

Explanation:

If we assume the sum of energy which could be obtained by completely transforming a volume unit, m. Its compared to the speed of light throughout this link. In that situation, the whole mass of its electron becomes power. In this, each electron should produce 510 keV depending on Einstein's connection, that's why only the choice "d" is correct.

PLEASE HELP GIVING 15 P

Answers

Answer:

can you make the pic more clear

i think it's D

Give reasons:
1. We use tongs to a catch a burning piece of a coal.
2. We use a pulley to draw water from a well.
3. A second class lever multiplies the effort more than other levers.

Answers

Explanation:

1) 1 : to Prevent a burning we use tongs

2:it can burn our skin hoa it's help

2) 1: because pulley helps in water draw from a well

3) 1: second class lever has mechanical advantage more than one as load is in between fulcrum an effort making the effort arm longer than the load arm


help pls
I just need an explanation to why it’s that answer

Answers

Answer:

The area under the speed - time graph denotes the distance travelled by the object

In the given graph, we just have to think about the first 4 seconds, we also notice that the velocity at 4 seconds is 20 m/s

The distance travelled by the object in 4 seconds is the area of the triangle in the graph with a base of 4 units and height of 20 units (image included)

Distance Travelled = Area of triangle =  1/2 * base * height

Distance Travelled = 1/2 * 4 * 20

Distance travelled = 4 * 10

Distance travelled = 40 m

A train travels 6.1m/s (E)The train’s destination is 134 km(E), how long until it arrives?

Answers

Answer:

The time taken is  [tex]t =   6.102 \  hours [/tex]

Explanation:

From the question we are told that  

    The velocity of the train is [tex]v_t = 6.1 \ m/s[/tex]

    The distance covered by the train is  [tex]D =  134 \  km  =  134000 \  m[/tex]

   

Generally the time taken is mathematically represented as

     [tex]t =  \frac{  134000}{ 6.1 }[/tex]

=>    [tex]t =  \frac{  134000}{ 6.1 }[/tex]

=>    [tex]t = 21967.21 \ sec [/tex]

Converting to hours

       [tex]t = 21967.21  =  \frac{21967.21 }{3600} =   6.102 \  hours [/tex]

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