two point charges, 3.0 c and –2.0 c, are placed 4.0 cm apart on the x axis. at what points along the x axis is (a) the electric field zero and (b) the potential zero?

Answers

Answer 1

(a) The electric field will be zero at some point between the two charges, where the electric forces due to the two charges cancel each other out. This point can be found using the formula:

E = k * Q / r^2

where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the charge. At the point where the electric field is zero, the forces due to the two charges will be equal in magnitude but opposite in direction, so we can set the two equations equal to each other:

k * 3.0 c / (x - 2.0 cm)^2 = k * (-2.0 c) / (4.0 cm - x)^2

Solving for x, we get:

x = 1.33 cm

So the electric field will be zero at a point 1.33 cm from the 3.0 c charge and 2.67 cm from the -2.0 c charge.

(b) The potential will be zero at some point where the electric potential due to the two charges is equal but opposite in sign. The electric potential can be found using the formula:

V = k * Q / r

where V is the electric potential, k is Coulomb's constant, Q is the charge, and r is the distance from the charge. At the point where the potential is zero, the potentials due to the two charges will be equal in magnitude but opposite in sign, so we can set the two equations equal to each other:

k * 3.0 c / (x - 2.0 cm) = k * (-2.0 c) / (4.0 cm - x)

Solving for x, we get:

x = 1.60 cm

So the potential will be zero at a point 1.60 cm from the 3.0 c charge and 2.40 cm from the -2.0 c charge.
Visit here to learn more about electric potential:

brainly.com/question/19260166

#SPJ11


Related Questions

A negative charge feels a force when stationary in an electric field. moving parallel to an electric field. moving parallel to a magnetic field. moving perpendicular to a magnetic field. stationary in a magnetic field. moving perpendicular to an electric field.

Answers

Answer:

stationary in an electric field.

moving perpendicular to a magnetic field.

moving perpendicular to an electric field.

Explanation:

Negative charge: In physics, the term "negative charge" is defined as a phenomenon that consists of a surplus or different electrons in any field i.e magnetic or electric field.

However, the correct answer in the question above, would be:

"stationary in an electric field".

"moving perpendicular to a magnetic field".

"moving perpendicular to an electric field".

A/An _____ is a type of electric circuit in which there is a single current path.1) electric current2) conventional circuit3) parallel circuit4) series circuit

Answers

An electric circuit consists of a completer closed path (or paths) for electric current. A series circuit is a type of electric circuit in which there is a single current path.

Hence, the correct option is (2)

Two 2.90 cm×2.90 cm plates that form a parallel-plate capacitor are charged to ±0.708nC. What is the electric field strength inside the capacitor if the spacing between the 1.40 mm ? Express your answer with the appropriate units.

Answers

The given information includes the size of the plates, the charge on the plates, and the spacing between the plates. To find the electric field strength, we can use the formula:

E = V/d Where E is the electric field strength, V is the voltage between the plates, and d is the distance between the plates. In this case, the voltage between the plates can be calculated using the charge on the plates and the capacitance of the capacitor: V = Q/C Where Q is the charge on the plates and C is the capacitance of the capacitor. To find the capacitance, we can use the formula: C = ε₀A/d Where C is the capacitance, ε₀ is the permittivity of free space (a constant), A is the area of the plates, and d is the distance between the plates. Given that the plates are square with side length 2.90 cm, the area of each plate is: A = (2.90 cm)^2 = 8.41 cm² Converting the area to square meters: A = 8.41 cm² * (1 m/100 cm)^2 = 8.41 * 10^(-4) m² Now we can calculate the capacitance: C = (8.85 * 10^(-12) F/m)(8.41 * 10^(-4) m²)/(1.40 * 10^(-3) m) = 5.315 * 10^(-11) F Next, we can calculate the voltage: V = (±0.708 * 10^(-9) C)/(5.315 * 10^(-11) F) = ±13.312 V Finally, we can find the electric field strength: E = (±13.312 V)/(1.40 * 10^(-3) m) = ±9.508 * 10^3 V/m Therefore, the electric field strength inside the capacitor is ±9.508 * 10^3 V/m.

Learn more about the Capacitor:

https://brainly.com/question/30529897

#SPJ11

it is difficult to push a beach ball underwater because

Answers

It is difficult to push a beach ball underwater is that a force of up to 150% of its weight is required to submerge it.

The reason why it is difficult to push a beach ball underwater is that a force of up to 150% of its weight is required to submerge it. That's why a beach ball bounces back to the surface when you try to push it underwater.

What is buoyancy?

Buoyancy is the ability of an object to float in a fluid, which can be a gas or a liquid. The principle of buoyancy was discovered by Archimedes, a Greek mathematician, in the third century BC. He discovered that an object that is immersed in a fluid experiences a buoyant force that is equal to the weight of the fluid displaced by the object.

learn more about weight on

https://brainly.com/question/86444

#SPJ11

calculate the velocity of an object moved around a circle with a radius of 1.65m and an acceleration of 3.5 m/s^2​

Answers

Answer:

2.4m/s

Explanation:

6. Dentists use a soft, clay-like material to make a filling for a cavity. The filling stays soft under the
light of the dentist's lamp, but it hardens when the dentist shines an ultraviolet flashlight on it. Why
does light from the ultraviolet flashlight harden the filling when light from the lamp does not?

Answers

Because ultraviolet light may be absorbed by the filler substance, but not by the lamp's light. Because UV light extracts energy from the filler substance while lamp light does not.

What is ultravoilet ray?

Ultraviolet Rays in the electromagnetic Spectrum Ultraviolet rays are a kind of electromagnetic radiation that extends from the visible light spectrum to the X-ray area.

Harmful rays have a long-term effect on humans, causing skin and eye problems. It is also a source of Vitamin C.

Because ultraviolet light may be absorbed by the filler substance, but not by the lamp's light. Because UV light extracts energy from the filler substance while lamp light does not,

Hence light from the ultraviolet flashlight harden the filling when light from the lamp does not.

To learn more about the ultravoilet ray refer to thr link;

https://brainly.com/question/25780677

What is radiation produces a wave full energy.

Answers

Answer:

electromagnetic radiation hopefully

HELP PLS 100 POINTS TAKING TEST RN


WHEN you look at the speedometer in a moving car, you can see the car's.

A.instantaneous speed.
B.average speed.
C.instantaneous acceleration.
D.average acceleration.
E.average distance traveled.?

Answers

Answer:

I think he answer is C but I could be wrong

Explanation:

brainliest plz

Answer:

d mark brainlyest

Explanation:

this thomas edison invention allowed for a new era of imaginative stage lighting for the theatre. what is the invention?

Answers

The incandescent lamp was a major innovation in the field of lighting, allowing for brighter and more controllable light than previous lighting technologies.

The lamp worked by passing an electric current through a filament, which heated up and emitted light.

Thomas Edison's invention of the incandescent lamp in 1879 was a major breakthrough in lighting technology and had a significant impact on many industries, including theatre, film, and photography.

The incandescent lamp also had a profound effect on society, improving quality of life by enabling longer work hours and increased leisure time and spurring further technological advances in lighting and electricity.

Learn more about incandescent lamps at

https://brainly.com/question/1363894

#SPJ4

2. The moon was not a graceful orb but a misshapen circle. No stars were visible. It spooked
Heidi that the moon was so clear and the stars so missing. Even as she looked out, the sky
around the moon darkened threateningly. It did not seem cold enough for snow. They would
have one of those grim, depressing, icy rains.
The sky was _____
A) mysterious
B) sparkling
C) smoky
D) peaceful

Answers

Answer:

a c

Explanation:

During a certain time interval, the net work done on an object is zero joules. We can be certain that ____.

Answers

During a certain time interval, the net work done on an object is zero joules. We can be certain that the object's final speed is same as its initial speed.

When the net work done on an object is zero, this indicates that the kinetic energy of the body has not changed which means that the object's final speed is same as its initial speed.

Since, we know from the Work energy Theorem that the Change in Kinetic energy is equal to the work done.

So, Zero work indicates that the kinetic energy has not varied which directly signifies that the speed has not change in the course of the interval.

Work is done by the force acting on the body which gets transferred in the kinetic energy of the body.

Kinetic energy is the energy produced due to the motion of the body in the system.

Learn more about Kinetic Energy here, https://brainly.com/question/999862

#SPJ4

A runner accelerates from rest to 8.0 m/s in 2.0 s. What is his acceleration?

Answers

Explanation:

v = u + at

8 = 0 + a (2) (u=0 at rest)

8 = 2a

a= 4 m/s²

what’s the answer????

whats the answer????

Answers

Answer:

left side

Explanation:

It's smaller in length but still has a pretty close slope to the right side.

With speeds up to 90 miles per hour, what is the fastest sport on ice?.

Answers

Answer:

Luge

Explanation:

What is the resistance of a circuit contains two 50. 0 resistors connected in series with a 12. 0 v battery

Answers

The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.

In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.

Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.

To know more about circuit visit:

https://brainly.com/question/12608516

#SPJ11

can someone please help me A wave’s velocity is 120 m/sec with a frequency of 6 Hz. What is its wavelength?

Answers

Answer:

by using formula,

wavelength= velocity/frequency

= 120/6

= 20 meter

Ans: 20 meter

Answer:

wavelength= velocity

= 120/6= 20 meter

Explanation:

what are three assumptions of the kinetic molecular theory​

Answers

Kinetic molecular theory is based on the following postulates, or assumptions:
1. Gases are composed of a large number of particles that behave like hard, spherical objects in a state of constant, random motion.
2. These particles move in a straight line until they collide with another particle or the walls of the container.
3. These particles are much smaller than the distance between particles. Most of the volume of a gas is therefore empty space.

A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?

Answers

To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.

In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.

In this scenario, the force needed to lift the automobile can be calculated using the formula:

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.

Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:

\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

Simplifying the equation and substituting the values, we can solve for \(F_{2}\):

\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)

Plugging in the values, we find:

\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)

Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:

\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)

Solving for \(F_{1}\), we find:

\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)

Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.

Learn more about hydraulic lifts here:
https://brainly.com/question/24941127?

#SPJ11


Total Resistance of Circuit (2) 80 20 40 60 Resistance of R2 (2) In the laboratory, two resistors, R1 and R2, are connected in series in a circuit. The total measured resistance of the circuit, Rr, is varied, and the results are plotted above. Which of the following is closest to the resistance of R1? 175kΩ 100kΩ 80kΩ 0.93kΩ 11,000kΩ

Answers

As a result, 80k is the closest value to the resistance of R1.

What is the resistance that R1 and R2 have in common?

The equivalent resistance of two resistors, R1 and R2, connected in series, is 180 ohms. They have an equivalent resistance of 40 Ohms when they are connected in parallel.

The formula for the overall resistance of a series circuit can be used to get the resistance of R1:

Rr = R1 + R2

At the point where Rr is 80 Ω, we can see that R2 has a resistance of 20 Ω, so:

80 Ω = R1 + 20 Ω

Solving for R1, we get:

R1 = 60 Ω

As a result, 80k is the closest value to the resistance of R1.

To know more about resistance visit:-

https://brainly.com/question/30799966

#SPJ1

a light bulb with a resistance of 10 ω is hooked up to a 2 v battery. if this light bulb were replaced by a bulb with 20 ω of resistance, what would change about the circuit?

Answers

When the light bulb with a resistance of 10 Ω is replaced by a bulb with 20 Ω of resistance, replacing the light bulb with a higher resistance would result in a decrease in current, brightness, power consumption, and heat generation in the circuit.

Here are the key changes:

1. Current: The current in the circuit would decrease. According to Ohm's Law (I = V/R), as the resistance increases and the voltage (V) remains constant, the current (I) decreases.

2. Brightness: The brightness of the bulb would decrease. Since the current is reduced, less electrical energy is flowing through the bulb, resulting in lower light output.

3. Power: The power consumed by the circuit would decrease. Power is calculated using the formula P = IV, where P is power, I is current, and V is voltage. As the current decreases, the power consumption of the circuit decreases.

4. Heat dissipation: The bulb with a higher resistance would generate less heat compared to the lower resistance bulb. This is because heat dissipation in a circuit is directly proportional to the square of the current (P = I²R), and with reduced current, less heat would be produced.

To know more about the resistance refer here :

https://brainly.com/question/15728236#

#SPJ11

Suppose 900 kg satellite is orbiting the earth one earth radius above the surface: Q1) Find the force of gravity between the earth and the satellite Q2) Find the orbital period of the satellite_ Q3) Find the tangential velocity required to keep the satellite in orbit: Q4) Find the angular velocity of the satellite:

Answers

(1) The force of gravity between the Earth and the satellite is 8.91 * 10^6 N.

(2)  The orbital period of the satellite is 6,132 seconds i.e. 1 hour and 42 minutes.

(3) The tangential velocity required to keep the satellite in orbit is approximately 7.94 km/s.

(4) The angular velocity of the satellite is 0.0011 radians per second.

(1)  The force of gravity between two objects can be calculated using Newton's law of universal gravitation. The formula is F = (G * m1 * m2) / \(r^2\), where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers. In this case, the mass of the Earth is much larger than the mass of the satellite, so we can consider the satellite's mass negligible compared to the Earth's mass. Plugging in the values, we get\(F = (6.67 \times 10^{-11} N m^2/kg^2) \times (5.97 \times 10^{24} kg) \times (900 kg) / (6,371,000 m)^2 = 8.91 \times 10^6 \ Newtons\)

(2) The orbital period of a satellite can be determined using Kepler's third law of planetary motion, which states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit. Since the satellite is orbiting at a radius equal to one Earth radius above the surface, the semi-major axis is the sum of the Earth's radius and the altitude of the satellite. Using the formula \(T = 2\pi \times\sqrt{(a^3 / (G \times M)}\), where T is the orbital period, a is the semi-major axis, G is the gravitational constant, and M is the mass of the Earth, we can calculate the value. Plugging in the values, we get \(T = 2\pi \times\sqrt{6,371,000}\) meters +\((6,371,000 \ m)^3 / (6.67 \times 10^{-11} N m^2/kg^2 \times 5.97 \times 10^{24} kg)\) = 6,132 seconds.

(3) The tangential velocity required to keep a satellite in orbit can be determined using the formula \(v = \sqrt{G \times M / r\) where v is the tangential velocity, G is the gravitational constant, M is the mass of the Earth, and r is the distance between the center of the Earth and the satellite. Plugging in the values, we get v = √((6.67 x 10^-11 N m^2/kg^2 * 5.97 x 10^24 kg) / \(v = \sqrt{\frac{(6.67 \times 10^{-11} N m^2/kg^2 \times 5.97 \times 10^{24} kg) }{(6,371,000 m + 6,371,000 m)}\)) = 7,906 m/sec.

(4) The angular velocity of a satellite in orbit can be calculated using the formula ω = v / r, where ω is the angular velocity, v is the tangential velocity, and r is the distance between the center of the Earth and the satellite. Plugging in the values, we get ω = 7,906 meters per second / (6,371,000 meters + 6,371,000 meters) = 0.0011 radians per second.

To know more about force of gravity here https://brainly.com/question/2537310

#SPJ4

11.27 Helium has the lowest boiling point of any substance, at 4.2 K. What is this temperature in C and F.

Answers

Helium has the lowest boiling point of any substance, at 4.2 K. We have to find this temperature in C and F.

The boiling point of helium is 4.2 K, which is equivalent to -268.95°C or -452.11°F. To convert from Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. Therefore, 4.2 K is equal to -268.95°C. To convert from Celsius to Fahrenheit, using the formula F = (C x 1.8) + 32. Therefore, -268.95°C is equal to -452.11°F.

Learn more about boiling point at: https://brainly.com/question/40140

#SPJ11

General relativity can be used to calculate what?

Answers

Answer:

Equation for general relativity

Explanation:

The intensity of a sound wave emitted by a hair dryer is 2.25 µW/m2. What is the sound level (in dB)?

Answers

The sound level of the hair dryer is approximately 58 dB.

The formula for sound level (in decibels) is:

L = 10 log (I/I₀)

Where L is the sound level, I is the intensity of the sound wave, and I₀ is the reference intensity of 1 pW/m².

Substituting the given values:

L = 10 log (2.25 x 10⁻⁶ / 1 x 10⁻¹²) = 10 log (2.25 x 10⁶) ≈ 58 dB

Therefore, the sound level of the hair dryer is approximately 58 dB when the intensity of a sound wave emitted by a hair dryer is 2.25 µW/m² which is comparable to the noise level of a normal conversation.

For more questions like Sound level  click the link below:

https://brainly.com/question/30101270

#SPJ11

A 8.0\,\text {kg}8.0kg8, point, 0, start text, k, g, end text box is released from rest at a height y_0 =0.25\,\text my 0 ​ =0.25my, start subscript, 0, end subscript, equals, 0, point, 25, start text, m, end text on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface. The box slides 2.0\,\text m2.0m2, point, 0, start text, m, end text horizontally until it stops.

Answers

Answer:

μ = 0.125

Explanation:

To solve this problem, which is generally asked for the coefficient of friction, we will use the conservation of energy.

Let's start working on the ramp

starting point. Highest point of the ramp

         Em₀ = U = m h y

final point. Lower part of the ramp, before entering the rough surface

        \(Em_{f}\) = K = ½ m v²

as they indicate that there is no friction on the ramp

          Em₀ = Em_{f}

          m g y = ½ m v²

          v = \(\sqrt{2gy}\)

we calculate

          v = √(2 9.8 0.25)

           v = 2.21 m / s

in the rough part we use the relationship between work and kinetic energy

          W = ΔK = K_{f} -K₀

as it stops the final kinetic energy is zero

          W = -K₀

The work is done by the friction force, which opposes the movement

          W = - fr x

friction force has the expression

          fr = μ N

let's write Newton's second law for the vertical axis

         N-W = 0

         N = W = m g

we substitute

            -μ m g x = - ½ m v²

           μ = \(\frac{v^{2} }{2 g x}\)

Let's calculate

           μ = \(\frac{2.21^{2}}{2\ 9.8\ 2.0}\)

           μ = 0.125

A 8.0 kg box is released from rest at a height y0 = 0.25 m on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface. The box slides 2.0 m horizontally until it stops.

What is the friction coefficient of the horizontal surface?

Answer: 0.125

What are the uses of a magnet?

Answers

Answer:

A magnet is used in a compass to show the direction.

Magnets are used in medical equipment.

Powerful magnets are used to lift objects

they are used in refrigerator, televisions, earphones etc

Answer:

1. they are used in medical equipment

2. they are used in dynamos

3. they are used in generators and motors

4. powerful magnets are used to lift heavy objects

5. they are used to prevent corrosion in a water heater

When making a lane change on the Interstate, you should always

Answers

Answer: When you change lanes, follow these steps:

Turn on your signal.

Check your mirrors.

Check your blind spot by looking over your shoulder.

If it is safe, change lanes.

Turn off your signal after completing the lane change.

Explanation: urwellcome

Answer:

Turn on your turn signal, and check for cars behind and in front of you.

Explanation:

It is important to check for cars because you may crash and injure/die. So stay safe!

The reason type ia supernovae are useful to astronomers for determining distances to other galaxies is that?

Answers

Answer:

Because these supernovae are formed by white dwarfs that explode when they reach a uniform accreted mass, the supernova peak luminosity is thought to be very consistant. This consistancy allows these supernovae to be used as standard candles to measure distances.

we do not use water instead of mercury in a barometer​

Answers

Answer:

Mercury is commonly used in barometers because its high density means the height of the column can be a reasonable size to measure atmospheric pressure.

why does the green colour of iron (ii) chloride change to yellow when chlorine gas is bubbled into it

Answers

Answer:

FeCl2 has a high melting point.

Explanation:

Iron is seen to get oxidized by addition of chlorine 3 as the product is rust colored and on dissolving in water has a yellow orange color. This is characterized by the aquatic iron and is due to the monohydroxy
Other Questions
What are the dimensions of a rectangle if the area is 103ft Use a factor tree to write the prime factorization of 80. Which statement BEST explains how the structure of the passage contributes to the meaning of the text? 2.A blanket ban on single-use plastic in Kerala, a landmark step in the states wastegeneration mechanism, came into effect at midnight on January 1, 2020. It was a gladnews welcoming the new year. Write a letter to the Editor of The New Times,Cochin , expressing your delight in the wise decision of the government and the needfor banning plastic burning in residential zones . You are Renjit/Renjini, D- 350,Good Earth Apartments, Cochin.pls help guys its urgent In the development of throwing, trunk rotation in which the lower trunk and upper trunk rotate together, as a unit, is called ____________ rotation. Which occurred in the united states in the decades after wwii? question 12 options: economic depression the rise of fascism high unemployment a "red scare" write the given equation of a line that passes through two given points (0,1) and (2,2) as per the resource dependence theory, in which of the following situations is an organization said to be weak? group of answer choices 6. Most drivers take an average of 3 seconds to react.TrueFalse Any time there is no expectation of privacy for a person or their information, evidence collected under those circumstances will be considered admissible. T/F at fish world,clownfish are on sale for $5 off with a maximum of 6 fish per customer. Rudy buys 6 clownfish on sale plus 3 more clownfish at the regular price and spends a total of $149.55. What is the regular price of a clownfish? Hsung Company accumulates the following data concerning a proposed capital investment: cash cost $226,445, net annual cash flows $40,500, and present value factor of cash inflows for 10 years is 5.89 (rounded). (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45).) Determine the net present value, and indicate whether the investment should be made. why is conventional solar electricity is so expensive to generate?? mya average 86 points on five tests. what would she have to score on the sixth test to bring her average up by one point Which of the following would NOT be an asset for a commercial bank? a. U.S. Treasury securitiesb. borrowingsc. loansd. cash in the vaulte. deposits at the Federal Reserve Allan borrowed $4200 from his father to buy a car. He repaid him after 4 months with interest of 7% per year. Find the total amount he repaid. Which of the following is a secondary source?A. a personal recordB. a history textbookC. an autobiographyD. an organization's records 2. A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep.The pool is filled to the top with water.a. What is the area of the surface of the water in the pool?b. How much water does the pool hold?c. Express your answers to the previous two questions as powers of 10. A person invested \$8,700$8,700 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$23,100$23,100? What is the value of cell F9?