A car is moving along a straight road. The graph shows how its velocity changes from start of the journey to the end of the journey.

A Car Is Moving Along A Straight Road. The Graph Shows How Its Velocity Changes From Start Of The Journey
A Car Is Moving Along A Straight Road. The Graph Shows How Its Velocity Changes From Start Of The Journey

Answers

Answer 1

(a) The total distance traveled by the car is 120 km.

(b) The total displacement of the car from A to G is 15 km.

(b) The average speed of the car for the first 8 hours is 11.25 km/h.

(c) The average velocity of the car from the start to the end is 8.57 km/h.

(d) The acceleration of the car during the first 2 hours is 7.5 km/hr².

(e) The motion of the car between B to C is constant.

What is the total distance traveled by the car?

The total distance traveled by the car is calculated by applying the following formula.

total distance = area of the two shape formed.

Area = ¹/₂ (8 + 4)x15  + ¹/₂(4)x15

Area = 90 km + 30 km

Area = total distance = 120 km

The total displacement of the car from A to G is calculated as follows;

Area =  ¹/₂(2)x15

Area = displacement = 15 km

The average speed of the car for the first 8 hours is calculated as follows;

V = total distance / total time

total distance =  ¹/₂ (8 + 4)x15 = 90 km

V = 90 km/8hr

V = 11.25 km/hr

The average velocity of the car from the start to the end;

V = total displacement / total time

V = ( 120 km ) / (14 hr)

V = 8.57 km/h

The acceleration of the car during the first 2 hours is calculated as follows;

a = Δv/Δt

v = 15 km/hr/ (2hr)

v = 7.5 km/hr²

The motion of the car between B to C can be described as a constant motion, since the car is moving at a constant velocity of 15 km/h.

Learn more about velocity - time graph here: https://brainly.com/question/28715702

#SPJ1


Related Questions

Help please please

is calculate total distance travelled

Help please pleaseis calculate total distance travelled

Answers

Here's the fact that you need to know:

"The AREA under a speed/time graph is the distance traveled during the time covered by the graph."

Now ... What's the area of that nice trapezoid on the graph ?

Hint: Area of a trapezoid is

(1/2) • (height) • (base-1 + base-2)

if you are riding in a car that suddenly turns to the right, why do you tend to slide to the left side?

Answers

When a car turns to the right, the car and everything inside it, including you, experiences a centripetal force that pulls the car towards the center of the turn. This force acts on you towards the left side of the car, which makes you tend to slide to the left side of the car.

Four atoms of hydrogen combine with one carbon atom to form CH4, but only two hydrogen atoms combine with one oxygen atom to form H2O. Which of the following helps to explain why?
Hydrogen has one valence electron.
Oxygen has two vacancies in its electron shell, but carbon has four vacancies.
Metallic bonds form between positively charged metal ions and delocalized electrons.
Atoms may share electrons in order to fill their electron shells.

Answers

Answer:

Oxygen has two vacancies in its electron shell, but carbon has four vacancies.

Explanation:

Oxygen has vacant space for two electrons in its outermost shell. Hence, it can accommodate two electrons from two hydrogen atoms. This leads to the formation of the H₂O molecule. On the other hand, the Carbon atom has vacant space for four electrons. Hence, it can accommodate four electrons from four hydrogen atoms. This leads to the formation of the CH₄ molecule.

In this way the explanation can be provided by the following statement:

Oxygen has two vacancies in its electron shell, but carbon has four vacancies.

Answer:

-Atoms may share electrons in order to fill their electron shells.

- Hydrogen has one valence electron.

- Oxygen has two vacancies in its electron shell, but carbon has four vacancies.

Explanation:

just did it

An object accelerates 2 m/s2 when an unknown force of 20 N is applied to it. What was the mass of the object?

Answers

Answer:

10 kg

Explanation:

The mass of an object given only the force acting on it and it's acceleration can be found by using the formula

\(m = \frac{f}{a} \\ \)

f is the force in N

a is the acceleration in m/s²

We have

\(m = \frac{20}{2} = 10 \\ \)

We have the final answer as

10 kg

Hope this helps you

You have just connected two routers through their serial ports in a back-to-back configuration. You've already configured IP addresses on the Fa0/0 and Fa0/1 interfaces for both routers and have configured a static route on each router for the networks accessible through the other router. You need to complete the configuration by configuring the serial link between the two routers. Remember that a 30-bit mask has a magic number of 4. Valid subnets are 192.168.2.0, 192.168.2.4, 192.168.2.8, etc. The seventh subnet is 192.168.2.24. The first valid address on that subnet is 192.168.2.25. The last valid address on that subnet is 192.168.2.26. A 30-bit mask uses a mask value of 255.255.255.252. In this lab, your task is to: Assign an IP address to each serial interface. Use the seventh subnet on network 192.168.2.0 using a 30-bit mask: For S0/0/0 on RouterA, assign the first address on the subnet. For S0/0/1 on RouterB, assign the last address on the subnet. Use the show controllers command to identify the DCE device. On the DCE interface, configure a clock rate of 9600 using the clock rate command. Bring both interfaces up. Save the changes on both routers.

Answers

To complete the configuration as described, follow the steps below:

1. Assign IP addresses to the serial interfaces:

  - On RouterA's S0/0/0 interface, assign the first address on the subnet: 192.168.2.25 with a 30-bit mask (255.255.255.252).

  - On RouterB's S0/0/1 interface, assign the last address on the subnet: 192.168.2.26 with a 30-bit mask (255.255.255.252).

 Here's an example of how you can configure the IP addresses on both routers:   ```plaintext

  RouterA# configure terminal

  RouterA(config)# interface Serial0/0/0

  RouterA(config-if)# ip address 192.168.2.25 255.255.255.252

  RouterA(config-if)# no shutdown

  RouterA(config-if)# exit

  RouterA(config)# exit

RouterB# configure terminal

  RouterB(config)# interface Serial0/0/1

  RouterB(config-if)# ip address 192.168.2.26 255.255.255.252

  RouterB(config-if)# no shutdown

  RouterB(config-if)# exit

  RouterB(config)# exit

  ```2. Use the `show controllers` command on RouterA to identify the DCE (Data Communications Equipment) device. The DCE device is the one that provides clocking on the serial interface.

```plaintext

  RouterA# show controllers Serial0/0/0

  ```   Look for the line that indicates the DCE status, which should mention something like "Clock rate 9600" or "DCE V.35."

3. Configure the clock rate on the DCE interface:

  - Assuming RouterA is the DCE device based on the previous step, configure the clock rate of 9600 on RouterA's Serial0/0/0 interface.

 ```plaintext

  RouterA# configure terminal

  RouterA(config)# interface Serial0/0/0

  RouterA(config-if)# clock rate 9600

  RouterA(config-if)# exit

  RouterA(config)# exit

  ```4. Bring both interfaces up:

  - On RouterA:

  ```plaintext

  RouterA# configure terminal

  RouterA(config)# interface Serial0/0/0

  RouterA(config-if)# no shutdown

  RouterA(config-if)# exit

  RouterA(config)# exit

  ``` - On RouterB:

```plaintext

  RouterB# configure terminal

  RouterB(config)# interface Serial0/0/1

  RouterB(config-if)# no shutdown

  RouterB(config-if)# exit

  RouterB(config)# exit

  ```5. Save the changes on both routers:

  - On RouterA:

  ```plaintext

  RouterA# write memory

  ``` - On RouterB:

```plaintext

  RouterB# write memory

  ```

By following these steps, you should have completed the configuration of the serial link between the two routers in a back-to-back configuration.

Learn more about IP addresses here ;

https://brainly.com/question/31026862

#SPJ11

Can someone help me please

Can someone help me please

Answers

3200m
80m/s * 40s = 3200m
seconds cancel out

Two skaters A and B. having masses 50 kg and
70 kg respectively, stand facing each other 6 m
apart on a horizontal smooth surface. They pull
on a rope stretched between them. How far does
each move before they meet?
(A) both move 3 m
(B) A moves 2.5 m and B moves 3.5 m
(C) A moves 3.5 m and B moves 2.5 m
(D) both move 4 m
(E) none of the above

Answers

Answer:

Explanation:

Hell im good dude

HELPPP!!! I will give Brainliest!!! super easy question

I have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?

Answers

Answer:

most likely just 1

Explanation:

I sucked at sig figs in middle school, in fact it was the lowest test grade i ever received, but it is relatively simple.

because there is only one sig fig involved in each number, there can't be multiple sig figs here. 3000/500=6

500/3000=2(round up from 1.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666) you get the point.

catching a wave, a 73.2-kg surfer starts with a speed of 1.44 m/s, drops through a height of 1.84 m, and ends with a speed of 8.89 m/s. how much nonconservative work was done on the surfer?

Answers

The nonconservative work done on the surfer is 2845.5 J.

We can use the work-energy theorem to solve this problem. The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. In this case, we can calculate the initial and final kinetic energies of the surfer and find the difference, which will give us the net work done.

The initial kinetic energy of the surfer is:

\(K_i = (1/2) * m * v_i^2\)

\(K_i = (1/2) * 73.2 kg * (1.44 m/s)^2\)

K_i = 75.7 J

The final kinetic energy of the surfer is:

\(K_f = (1/2) * m * v_f^2\)

\(K_f = (1/2) * 73.2 kg * (8.89 m/s)^2\)

K_f = 2921.2 J

The change in kinetic energy is:

ΔK = K_f - K_i

ΔK = 2921.2 J - 75.7 J

ΔK = 2845.5 J

According to the work-energy theorem, this change in kinetic energy must be equal to the net work done on the surfer. Therefore, the nonconservative work done on the surfer is:

W_nc = ΔK

W_nc = 2845.5 J

So, the nonconservative work done on the surfer is 2845.5 J.

Learn more about   nonconservative work

https://brainly.com/question/28588859

#SPJ4


A toy train moves round a circular track of radius 0.50 m.
How many radians has the trained turned through in moving 1.4 m along a track?

Answers

Answer:

2.8 radians

Explanation:

\(s = r \beta \\ 1.4 = 0.50 \beta \\ \beta = 2.8 \: rad\)

how much time does it take to roll a ball 2 meters on a steep slope

Answers

Answer:

asdadsadada

Explanation:

When light goes straight through a medium that means it has been

Question 8 options:

absorbed


reflected


transmitted

Answers

Answer:

Reflected

Explanation:

During the process of reflection whatever that is sent forth e.g light comes back (reflects)

Answer:

transmitted

Explanation:

took quiz

The electric force between two charged balloons is 0.12 newtons. If the distance between the two balloons is halved, what will be the new force?
A.
0.03 newtons
B.
0.06 newtons
C.
0.36 newtons
D.
0.48 newtons

Answers

Answer:

d. 0.48

Explanation:

What is an infrared camera simple definition

IN OWN WORDS!!!!!!!!!!

explain like you would to a kid pls

Answers

Answer:

An infrared camera – also called IR camera, thermal means heat it can track your heat camera or thermal camera – is a measuring  by instrument it means its a measuring tool

used for non-contact measurements of the surface temperature of objects.

Explanation:

kids are oof

Suzy drives 10 miles north then drives 24 miles west. What is her total distance traveled?

Answers

Answer:

34

Explanation:

if an ocean has a wavelength of 2 m and a frequency of 1 wave/s then it's speed is ___ m/s.

Answers

V = f x lamda

Wave speed = frequency x wavelength
2x1 = 2 so wave speed = 2m/s

Let me know if you have any questions

2/28 the 230,000-lb space-shuttle orbiter touches down at about 220 mi ∕ hr. at 200 mi ∕ hr its drag parachute deploys. at 35 mi ∕ hr, the chute is jettisoned from the orbiter. if the deceleration in feet per second squared during the time that the chute is deployed is −0.0003v2 (speed v in feet per second), determine the corresponding distance traveled by the orbiter. assume no braking from its wheel brakes.

Answers

The corresponding distance traveled by the orbiter is 1,728.05 feet. Given that the deceleration in feet per second squared during the time that the chute is deployed is −0.0003v2 (speed v in feet per second), the corresponding distance traveled by the orbiter can be found using the equation below;

The equation is:ds=∫v₁ᵛ₂dt Let's put in the values we have;v₁ = 200 mi/hr = 200 * 1.467 = 293.4 ft/s, v₂ = 35 mi/hr = 35 * 1.467 = 51.345 ft/s

∫ds= ∫v₁ᵛ₂ dt = ∫v₁ᵛ₂ (-dv/0.0003v²) = [-1/0.0003 ∫(1/v²)dv] from v₁ to v₂= [-1/0.0003 (-1/v)] from v₁ to v₂ = [1/0.0003 (1/v₁ - 1/v₂)]

The distance covered by the shuttle during the time that the chute is deployed is given by 1/0.0003 (1/v₁ - 1/v₂).∴ d = 1/0.0003 (1/293.4 - 1/51.345) = 1,728.05 feet. Therefore, the corresponding distance traveled by the orbiter is 1,728.05 feet.

Learn more about distance: https://brainly.com/question/13034462

#SPJ11

The voltage V, in an electric circuit is measured in millivolts (mV) and is given by the formula
V=0.2sin0.1π(t -0.5)+0.3, where t is the time in seconds from the start of an experiment. Use the graph of the function to estimate how many seconds in the 40 second interval starting at t = 0 during which the voltage is below
0.21mV.
Select one:
a. 14.06
b. 7.03
c. 12.97
d. 27.16

Answers

The number of seconds in the 40 second interval starting at t = 0 during which the voltage is below 0.21m V is: 19.06 - 7.03 = 12.03 s = 12.97 (approx.) Thus, the correct option is (c) 12.97.

The voltage V, in an electric circuit is measured in millivolts (mV) and is given by the formula V=0.2

sin0.1π(t -0.5)+0.3, where t is the time in seconds from the start of an experiment. We have to use the graph of the function to estimate how many seconds in the 40 second interval starting at t = 0 during which the voltage is below 0.21mV.

Graph of the given function is shown below:

Graph of the given function

As per the graph, it is observed that the voltage is below 0.21 mV from 7.03 s to 19.06 s.

To learn more on  voltage :

https://brainly.com/question/14883923

#SPJ11

9. Thermal energy (heat) is defined as
A. the sum of all the kinetic energies of all the particles in an object
B. the average of all the kinetic energies of all the particles in an object
C. the sum of all the numbers of particles in an object
D. the average number of particles in an object

Answers

Answer:

The correct answer is A. Thermal energy (heat) is defined as the sum of all the kinetic energies of all the particles in an object.

If a tow truck pulls a 907 kilogram pickup with a force of 1500 Newtons. How fast do the trucks accelerate?​

Answers

Answer:

accelaration= 1.654 m/s²

Explanation:

accelaration= force/mass

a= \(\frac{F}{m}\)

a= \(\frac{1500}{907}\)

a= 1.654 m/s²

what is the color that makes purple ?
ANSWER RED)BLUE

Answers

Answer:

both

Explanation:

really you don't know something from kindergarden

red and blue together

What is the concentration of H^ + at apH = 2 ? Mol / L What is the concentration of H^ + ions at apH = 6 ? Mol/L How many more H^ + ions are there in a solution at a pH = 2 than in a solution at a pH = 6?

Answers

Answer:

The concentration of hydrogen ion at pH is equal to 2 :\(= [H^+]=0.01 mol/L\)

The concentration of hydrogen ion at pH is equal to 6 : \([H^+]'=0.000001 mol/L\)

There are 0.009999 more moles of  \(H^+\) ions in a solution at a pH = 2 than in a solution at a pH = 6.

Explanation:

The pH of the solution is the negative logarithm of hydrogen ion concentration in an aqueous solution.

\(pH=-\log [H^+]\)

The hydrogen ion concentration at pH is equal to 2 = [H^+]

\(2=-\log [H^+]\\\)

\([H^+]=10^{-2}M= 0.01 M=0.01 mol/L\)

The hydrogen ion concentration at pH is equal to 6 = [H^+]

\(6=-\log [H^+]\\\\\)

\([H^+]=10^{-6}M= 0.000001 M= 0.000001 mol/L\)

Concentration of hydrogen ion at pH is equal to 2 =\([H^+]=0.01 mol/L\)

Concentration of hydrogen ion at pH is equal to 6 = \([H^+]'=0.000001 mol/L\)

The difference between hydrogen ion concentration at pH 2 and pH 6 :

\(= [H^+]-[H^+]' = 0.01 mol/L- 0.000001 mol/L = 0.009999 mol/L\)

Moles of hydrogen ion in 0.009999 mol/L solution :

\(=0.009999 mol/L\times 1 L=0.009999 mol\)

There are 0.009999 more moles of  \(H^+\) ions in a solution at a pH = 2 than in a solution at a pH = 6.

A roller coaster car has a mass of 840 kg. It is launched horizontally from a giant spring, with spring constant 31,000 n/m into a frictionless vertical loop-the-loop track of radius 6. 2m. What is the minimum amount that the spring must be compressed if the car is to stay on the track?.

Answers

The minimum amount that the spring must be compressed if the car is to stay on the track is 8.373 Xa.

let A be the starting point

Let B be the loop's top.

Given that K=31,000 N/m, m=840 kg, and r=6.3 m

Early Compression

Xa = ?

Final (spring is in natural state then) (spring is in natural state then)

Xb = 0

Please remember to find the minimal compression now. When the roller coaster is almost at separation, which means the normal force is equal to zero, we need to determine the velocity at the top of the hoop.

total force C = Mac

mVb = mVb²/R

We now use the work energy technique.

-(1/2) * k* (Xb²-Xa²) - mg(2r) = m * (Vb²-Va²) * (1/2)

Va = 0\s

Xb = 0\s-(1/2) * k * (-Xa^2) - mg(2r)

= (1/2)*(m*Vb*2) (1/2)*(k*Xa*2) - mg(2r)

= m * Vb * (1/2)

Isolate the deformation

Using algebra, Xa of the spring equals (1/2) * k * (Xa2) = (1/2) * m * Vb2 + mg (2r)

Substituting m/k * (gR) + m/k * g* into Vb²/ Xa²

2.89 m for 4r Xa²

= 8.373 Xa.

Learn more about spring here-

https://brainly.com/question/14670501

#SPJ4

find the moments m x , m y and the mass m , of the triangular lamina defined by the vertices (0,0), (0,3) and (6,3). the density function is rho ( x , y )

Answers

To find the moments and mass of the triangular lamina, we first need to determine the density function rho(x, y). Once we have the density function, we can calculate the moments mx and my and the mass m.

Given that the vertices of the triangular lamina are (0,0), (0,3), and (6,3), we can see that the base of the triangle is 6 units long, and its height is 3 units. Therefore, the area of the triangular lamina is (1/2) * base * height = (1/2) * 6 * 3

= 9 square units.

To find the density function rho(x, y), we need more information. The density function represents how the mass is distributed over the lamina. Without this information, we cannot proceed with finding the moments and mass accurately.


To find the moments mx and my, we need to integrate the product of the density function rho(x, y) and the coordinates x and y, respectively, over the triangular lamina. The moments mx and my can be calculated using the following formulas:

mx = ∫∫ x * rho(x, y) dA
my = ∫∫ y * rho(x, y) dA

where dA represents the infinitesimal area element.

To find the mass m, we need to integrate the density function rho(x, y) over the triangular lamina. The mass m can be calculated using the following formula:

m = ∫∫ rho(x, y) dA

However, since we don't have the density function rho(x, y) given, we cannot determine the moments mx and my or the mass m accurately.


In order to find the moments mx and my and the mass m of the triangular lamina, we need to know the density function rho(x, y). Without this information, we cannot proceed with the calculations. It is important to have all the necessary data and information to accurately solve problems involving moments and mass.

To know more about density function visit:

brainly.com/question/31039386

#SPJ11

NASA is conducting a test with the Perseverance Rover to investigate the gravity on Mars. They test a pendulum with a length of L on the Earth and find it has a period of 1.0 s. The Perseverance Rover has a similar pendulum with a length of L/2. If the acceleration due to gravity on Mars is 1/3 the acceleration due to gravity on the Earth, what is the period of the Perseverance Rover's pendulum on Mars?

Answers

If the time period of the pendulum in earth is 1 seconds, then the length  L is 0.24 m. If length in mars is L/2 and acceleration due to gravity is 1/3rd of that of earth, the time period of the pendulum on mars is 1.216 seconds.

What is time period of oscillation ?

The time period of oscillation of a pendulum is the time taken to complete oscillation. It is related to the length l, and acceleration due to gravity g as:

T = 2π √l/g

T for earth = 1 s

g for earth = 9.8 m/s²

then l = T/4π² × g

l = 1/4π²× 9.8 m/s²

 = 0.24 m

If in mars L = L/2 = 0.24 /2 = 0.12 m

g = 9.8 m/s²/3 = 3.22m/s²

Then time period T = 2π × √0.12 m/3.22m/s²

T = 1.216 s.

Therefore, the time period of the Rover's pendulum in mars is 1.216 seconds.

Find more on period of oscillation:

https://brainly.com/question/14596666

#SPJ9

A block is attached to the end of a horizontal ideal spring and rests on a frictionless surface. The block is pulled so that the spring stretches relative to its unstrained length. In each of the following three cases, the spring is stretched initially by the same amount. Rank the amplitudes of the resulting simple harmonic motion in decreasing order (largest first). (a) The block is released from rest. (b) The block is given an initial speed . (c) The block is given an initial speed .

Answers

Answer:

The answer is "a, c and b"

Explanation:

Its total block power is equal to the amount of potential energy and kinetic energy.Because the original block expansion in all situations will be the same, its potential power in all cases is the same.Because the block in the first case has no initial speed, the block has zero film energy.For both the second example, it also has the \(v_o\) velocity, but the kinetic energy is higher among the three because its potential and kinetic energy are higher.While over the last case the kinetic speed is greater and lower than in the first case, the total energy is also higher than the first lower than that of the second.The greater the amplitude was its greater the total energy, therefore lower the second, during the first case the higher the amplitude.

What length of copper wire (resistivity 1.68x10-8\Omegam) of diameter 0.15 mm is needed for a total resistance of 15\Omega? if 6.00 Ohm resistor is connected to a 12.0 V battery with this wire, what would the voltage drop accross the resistor be? What would the voltage drop accross the wire be?

Answers

Answer: (a) The length of the wire with a diameter of 0.15m and 15-ohm resistance is 15.77 m

(b) There is no voltage drop in the resistor but there is a voltage drop of 2 V in the wire

Explanation:

The expression for resistance is R = xL/A,  where R is resistance, x is Resistivity, L is the length of the wire and A is the area

Rearranging the equation we get, L = RA/x

The area of a cross-section is A = \(\pi\)(D/2)^2

D in our case is equal to 0.15 x 10^-3 m

x in our case is equal to 1.68 x 10^-8 omega m

Putting all these values in the equation we get L to be equal to 15.77 m

For the second part using our equation V = IR, we can figure out there will be no voltage drop across the resistor but there will be a voltage drop across the wire by 2 V

That is due to the new resistor being added in a series connection and using that information we can find out the current in the wire, as the current stays the same across resistors in a series connection we can find out the voltage in each resistor using our equation V = IR

Subtracting it from the initial voltage through the wire will give us the change i.e. of 2 V

an electric circuit was accidentally constructed using a 7.0µf capacitor instead of the required 16µf value. without removing the 7.0µf capacitor, what can a technician add to correct this circuit?

Answers

To correct the circuit without removing the 7.0µF capacitor, the technician can add an additional 9.0µF capacitor in parallel.

To find the total capacitance when capacitors are connected in parallel, we simply add their individual capacitances.

Given that the circuit was mistakenly constructed with a 7.0µF capacitor instead of the required 16µF capacitor, the technician needs to add a capacitance of 16µF - 7.0µF = 9.0µF to correct the circuit.

By connecting this additional 9.0µF capacitor in parallel with the existing 7.0µF capacitor, the total capacitance of the circuit will be 7.0µF + 9.0µF = 16µF.

To correct the circuit without removing the 7.0µF capacitor, the technician can add an additional 9.0µF capacitor in parallel. This will result in a total capacitance of 16µF, meeting the required value for the circuit.

To know more about Capacitor visit:

https://brainly.com/question/21851402

#SPJ11

Identical point charges (+50 x 10 power -6C) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?

Answers

Answer:

636.4 J

Explanation:

The potential energy between one of the charges at the corner of the square and the fifth identical charge is U = kq²/r where q = charge = +50 × 10⁻⁶ C  and r = distance from center of square. = √2 m (since the midpoint of the sides = 1 m, so the distance from the charge at the corner to the center is thus √(1² + 1²) = √2)

Since we have four charges, the additional potential energy to move the charge to the centre of the square is U' = 4U = 4kq²/r

U' = 4kq²/r

= 4 × 9 × 10⁹ Nm²/C² (+50 × 10⁻⁶ C)²/√2 m

= 900 Nm²/√2 m

= 636.4 J

The total external energy required is 636.4 J.

Electric potential energy:

According to the question, a square of side a = 2m has 4 identical charges on the corners with charge Q = 50×10⁻⁶C.

A fifth identical charge is brought at the geometric center of the square. The geometric center is at the center of the diagonal:

\(r=\frac{a}{\sqrt{2} }=\sqrt{2}\;m\)

The potential energy is a state function which means that it depends on the initial and final position.

Now the energy required is equal to the change in potential energy

\(\Delta U=\frac{1}{4\pi\epsilon_o}\frac{4Q^2}{r}\\\\\Delta U=\frac{4\times9\times10^9\times(50\times10^{-6})^2}{\sqrt{2} } \\\\\Delta U=636.4\;J\)

Learn more about electric potential energy:

https://brainly.com/question/13003272?referrer=searchResults

If a bullet of mass 50 gm is moving with the velocity of 720 km/hr. Calculate its kinetic energy. Ans: here, mass (m)= 50 gm = 50/1000 kg = 0.05 kg velocity (v) = 720 km/hr= 720×1000/60×60=200m/s kinetic energy = ? We know, K.E.= 1/2 mv^2 = 1/2 × 0.05×(200)^2 = 0.05×40000/2 = 1000j ans. Is it correct???????

Answers

Answer:

yes   1000 j   as I posted on the same Q elsewhere

Explanation:

Other Questions
what are the assumptions and predictions of the simple quantity theory of money? does the simple quantity theory of money predict well Solve the differential equation.dy/dx=2exyChoose the correct answer below. A.ey=2ex+CB.y=2lnx+CC.y=2ex+CD.ey=e2x+C Where in the human uterus do implantation and placentation ordinarily occur?High, Low or Mid Uterus? all of the following statements correctly describe a contemporary approach to create the work breakdown structure (wbs) for a project except: solve the equation 9=8(n+4)-7 the epidermis of the skin is composed of what type of tissue? When determining which business units to retain in the corporate portfolio, the Boston Consulting Group developed a decision matrix. In this model, what's a name for a firm with high market share units within fast-growing industries pls pls help me out AHH, what is not true about MEIOSIS?A. The chromosomes in the daughter cells half the number from the parent cell.B. The chromosomes in the daughter cells are the same number as the parents cell.C. The only cells that will undergo meiosis will become sperm or egg cells used for reproduction.D. The shuffling of genes happens in meiosis. How do lobbyists influence the legislative branch? Interview a business owner on the crisis experienced in the worplace 42Many words that exist in the English language have multiple meanings. The process of determining which meaning is appropriate in the context of the situation involves which of the following? A. deductive reasoning B. Whorfian hypothesis of linguistic relativity C. semantics D. inductive reasoning Quantum 'R Us has a physics research lab which would like to use a specialized machine for its quantum computers research program. The company will either need to lease the machine for the lab or it will buy the machine for the lab. Which one is better? Here's what's known about the machine and about the Quantum 'R Us company:Quantum 'R Us's pre-tax borrowing rate is 6% per year.Quantum 'R Us pays a 36% tax rate on its corporate taxable income.The machine for the research lab would cost $8,000,000 to buy. It depreciates straight-line to zero over its 4 year economic life. After that, the lab's research project would end, and the machine will have no selling value.If the machine for the research lab is leased, Quantum 'R Us would need to pay $1,400,000 at the end of every year in pre-tax lease payments, for 4 years.Each year, the depreciation of the machine would equal $ ______ , and the tax savings from depreciation (or the "tax shield") would equal $ ______ . That's if the machine is purchased.Each year, Quantum 'R Us would need to make a $ ______ lease payment after taxes. That's if the machine is leased.Based on Quantum 'R Us's calculations of "leasing instead of buying" incremental cash flows for each year, in "Year 0" it would equal _____(positivite or negative) _________ , and at the end of each future year it would equal ______ (positive or negative) _______ . As part of this valuation analysis, the appropriate discount rate for these cash flows would equal _________Based on the above, the calculations show that Quantum 'R Us's estimated net advantage to leasing, or NAL (i.e., the NPV of leasing instead of buying), is ______ (positive or negative) _______In addition (no math!):In general, if Quantum 'R Us's calculated NAL is negative, then it should ___ (buy/ lease) the machine. And in this case, in order for Quantum 'R Us to be indifferent between leasing and purchasing the machine, the lease payment would have to ___ (increases/ decreases) .In general, if Quantum 'R Us's calculated NAL is positive, then the other company that would be leasing the machine to Quantum 'R Us would _____ (accept/ reject) to sign the lease agreement with Quantum 'R Us. 1.) How would you define Self-Control in yourown words?2.) What is an example of using Self-Control?Read the question above^ Type 5 complete sentences. Give explanation(s). Provide an example(s). Explain in your own words 2. Explain why it is important to identify and use the correct calculation technique / method to solve mathematical problems in the workplace Each managed object on a managed device using SNMP is assigned which of the following?a. object identifier (OID)b. TCP/UDP portc. process IDd. inode number 4. taylor brought some candy back from europe. it wasn't shaped like american candy. the candy tasted kind of strange to him. A person experiencing psychosis may exhibit ___________. a. sluggish and repetitious movements b. paranoia c. self-injury d. abnormal attachments to childish objects e. all of the above Why was the American Colonization Society founded?A. To make a homeland for freed slaves in AfricaB. To make a colony for freed slaves in New MexicoC. To promote settlement in the Oregon TerritoryD. To recruit settlers for the newly acquired territories from Mexico Find the value of x. Then use the answer bank below to determine the color for each region, labelled withthe values of x what role did the geography of the sahel play in the rise of the medieval african kingdoms? (5 points) it provided a place for trade between the north and the south. the lack of fresh water made rulers here more warlike. the desert was difficult for outsiders to invade. it provided access to the large ports on the atlantic.