A 4. 00-kg model rocket is launched, shooting 50. 0 g of burned fuel from its exhaust at an average velocity of 625 m/s: the velocity of the rocket after the fuel has burned is approximately -7.81 m/s.
Initially, the rocket and fuel have a combined mass of 4.00 kg + 0.050 kg (converting 50.0 g to kg). The initial velocity is 0 m/s since it hasn't launched yet. After the fuel is burned, the remaining mass of the rocket is 4.00 kg, and we want to find its final velocity (v).
According to the conservation of momentum, the initial momentum of the system must equal the final momentum. So, (initial mass) * (initial velocity) = (final mass) * (final velocity). In this case:
(4.050 kg) * (0 m/s) = (4.00 kg) * (v) + (0.050 kg) * (625 m/s)
0 = (4.00 kg) * (v) + 31.25 kg*m/s
To find the final velocity of the rocket (v), we'll isolate it in the equation:
(4.00 kg) * (v) = -31.25 kg*m/s
v = (-31.25 kg*m/s) / (4.00 kg)
v ≈ -7.81 m/s
The velocity of the rocket after the fuel has burned is approximately -7.81 m/s. The negative sign indicates that the direction of the rocket's velocity is opposite to that of the exhaust.
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what is the power loss from a wire having a resistance of 0.1 ohm and carry-ing a current of 25 a?
The power loss from a wire with a resistance of 0.1 ohm carrying a current of 25 A is 62.5 W.
The power loss in a wire is given by the formula \(P = I^2 * R\), where P is the power loss, I is the current and R is the resistance of the wire. Substituting the given values, we get:
\(P = 25^2 * 0.1\)
P = 62.5 W
Therefore, the power loss from the wire is 62.5 W. This means that 62.5 J of energy is lost per second in the form of heat due to the resistance of the wire. This power loss can lead to heating of the wire and may cause damage or decrease in efficiency in some electrical applications. It is important to choose wires with appropriate thickness and low resistance to minimize power loss in electrical circuits.
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Find the magnitude and direction of the net gravitational force on mass A due to masses B and
C in the figure. Each mass is 2 kg.
a. 2.8x10^-8N, to the right
b. 2.54x10^-8N, to the right
c. 3.4x10^-8N, to the left
d. 3.4x10^-8N, to the right
Answer is A 2.8 x 10^-8 N, to the right
The net gravitational force on mass A due to masses B and C is required.
The correct option is a. \(2.8\times 10^{-8}\ \text{N}\) to the right.
G = Gravitational constant = \(6.674\times 10^{-11}\ \text{Nm}^2/\text{kg}^2\)
\(r_{AB}\) = Distance between A and B = 0.4+0.1 = 0.5 m
\(r_{AC}\) = Distance between A and C = 0.1 m
\(m_A=m_B=m_c\) = Mass of each particle = 2 kg
The required force is
\(F_A=F_{AB}+F_{AC}\\ =\dfrac{Gm_Am_B}{r_{AB}^2}+\dfrac{Gm_Am_C}{r_{AC}^2}\\ =Gm^2\left(\dfrac{1}{r_{AB}^2}+\dfrac{1}{r_{AC}^2}\right)\\ =6.674\times 10^{-11}\times 2^2\left(\dfrac{1}{0.5^2}+\dfrac{1}{0.1^2}\right)\\ =2.8\times 10^{-8}\ \text{N}\)
The magnitude of force will be \(2.8\times 10^{-8}\ \text{N}\)
The direction will be towards the right since C is closer to A.
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Select all the correct answers. In most cases, what happens to a liquid when it cools? Its density increases. Its density decreases. Its mass increases. Its mass decreases. Its volume increases. Its volume decreases.
Answer:
its density decrease
Explanation:
Explanation: As the molecules of a liquid are cooled they slow down. As the molecules slow down they take up less volume. Taking up less room because of the molecules lower energy causes the liquid to contract.
Answer:
A & F
Explanation:
As the liquid cools down, it means the temperature decreases the density of the liquid increases in most o the cases.
Now the volume is inversely proportional to the density of substance so density increases.
A train travels 600km in 5hours . Give the awnser in km/h
Answer:
the answer is 600/5 km/h
Estimate how long a 2500 W electric kettle would take to boil away 1.5 Kg of water . The specific latent heat of vaporization of water is 4000000 J / Kg .
The time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds
How to calculate the timeUse the formula:
Power × time = mass × specific heat
Given mass = 1. 5kg
Specific latent heat of vaporization = 4000000 J/ Kg
Power = 2500 W
Substitute the values into the formula
Power × time = mass × specific heat
2500 × time = 1. 5 × 4000000
Make 'time' the subject
time = 1. 5 × 4000000 ÷ 2500 = 6000000 ÷ 2500 = 2400 seconds
Therefore, the time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds.
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please help me thank youuuu !!!!
Answer:
D. Left
Explanation:
The question is worded weirdly, but based on the fact that heat transfers from hot to cold and the temperature on the right is warmer than the temperature on the left, I would say that the heat is flowing from the box on the right to the box on the left.
I hope this makes sense and was helpful! ☺
Answer:
A or up
Explanation:
A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling Enter a number m/s
Answer: Velocity = v = 35 m/s
Explanation:
Kinetic energy of an object is defined as the energy possess by an object due to its motion. Kinetic energy K.E of an object is equal to the half of the mass of that object multiplied by square of the object's velocity.
Mathematically,
v = 35 m/s
in the use of coal to produce energy, which does not decrease the energy efficiency of the process? * 1 point extracting the coal from the ground waste heat cogeneration energy required to build the power plant
the power efficiency of the procedure when using coal to produce energy extracting the coal again from earth gasification energy required to construct the power plant.
What kind of coal burns with the greatest amount of thermal energy released?Lignite has the minimum energy output of all coal grades and contains 25%–35% carbon. Lignite coal deposits are frequently rather recent and have not been subjected to high temperatures or pressures. Due to its high moisture content and brittle nature, lignite has a low heating value.
Which of the aforementioned Macq sources has the highest energy production?The Urban Local Organizations of the individual cities are to carry out the program. The MNRE/GOI approved the construction of Faridabad and Dwarka as Solar Cities with its sanction dated 25.6.09, at an estimated Photovoltaic solar energy in particular is gaining popularity.
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15 points!! pleas help! A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential
energy. What is its height above the ground?
PT.2
The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the
bottom of its biggest hill. What is its velocity?
what are two reasons communication is important in scientific research
Answer:
It allows them to write better and more comprehensible research papers. As well as being able to communicate the relevance and impact of their ideas and discoveries.
Explanation:
A 0.050 kg ball starts from rest at some unknown height on a toy roller coaster.
At a later time, it travels through the top of a loop at 2 m/s and a height of 0.40 m.
Since this track is frictionless, what was the starting height of the ball?
Answer:
The starting height of the ball is approximately 0.604 m
Explanation:
The given parameters are;
The mass of the the ball = 0.050
The speed with which it travels through the top loop = 2 m/s
The given height at which the ball moves at 2 m/s = 0.40 m
Therefore, we have;
1/2·m·v² = m·g·h
1/2·v² = g·h
h = 1/2·v²/g = 1/2 × 2²/9.81 ≈ 0.204
The additional height = h = 0.204 m
Therefore;
The starting height of the ball ≈ The given height at which the ball moves at 2 m/s + h
The starting height of the ball ≈ 0.40 + 0.204 = 0.604 m
The starting height of the ball ≈ 0.604 m.
When any object in rest, then potential energy is present. But when object is in motion then object have kinetic energy.
Starting height of the ball is 0.604 m.
We know that, when any object is start from rest, then potential energy is converted into kinetic energy.
\(\frac{1}{2}mv^{2} =mgh\)
Where m is mass of object, g is gravitational acceleration , h is height and v is velocity of object. (value of g = 9.81 m/ second square)
from above equation,
we get, extra height \(h=\frac{v^{2} }{2g} \\\\h=\frac{4}{2*9.81}\\\\h=0.204\) meter
The starting height of the ball will be sum of the height at which ball moves 2 m/s and extra height.
Starting height = 0.40 + 0.204 = 0.604 meter.
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What is measurement? Describe in brief the importance of measurement in our daily life
"The measure of physical quantities which humans have developed is measurement. It is important in our daily lives as we use thermometer to measure our body temperature, we use simple measurements in simple home chores, all the humans use measurement in some or the other ways."
We measure weight, height, area, volume of various needs in our daily lives. If a person is sick, we monitor temperature and take the sufficient dosage of medicine.
In home chores like cooking, we use the ingredients proportionately to measure water, grocery, etc.
Recording blood pressure, taking medicines, measuring pulse, all of them require measurements for the proper diagnosis.
Other professionals using common measurements include surveyors, actuaries, cartographers, and accountants.
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What are the two elements play the greatest role in the carbon cycle?
Carbon
Hydrogen
Oxygen
Sulfur
Nitrogen
Answer:
carbon and oxygen
hope this helps! <3
A 2. 3-kg object traveling at 6. 1 m/s collides head-on with a 3. 5-kg object traveling in the opposite direction at 4. 8 m/s. If the collision is perfectly elastic, what is the final speed of the ?
The final speed of the system after the collision is 5.31 m/s.
To solve the problem, we can use the conservation of momentum and the conservation of kinetic energy.
First, we need to find the initial momentum of the system. We can use the convention that motion to the right is positive and motion to the left is negative. Therefore:
initial momentum = m1v1 + m2v2
= (2.3 kg)(6.1 m/s) + (-3.5 kg)(-4.8 m/s)
= 14.03 kg·m/s + 16.8 kg·m/s
= 30.83 kg·m/s (to the right)
The negative sign for the velocity of the second object is because it is traveling in the opposite direction.
Next, we can use the conservation of momentum to find the final velocity of the system. Since the collision is perfectly elastic, we can assume that kinetic energy is also conserved.
final momentum = initial momentum
= 30.83 kg·m/s
final momentum = (m1 + m2)vf
= (2.3 kg + 3.5 kg) vf
= 5.8 kg vf
Therefore, 30.83 kg·m/s = 5.8 kg vf, and:
vf = 30.83 kg·m/s / 5.8 kg
= 5.31 m/s
So the final speed of the system after the collision is 5.31 m/s.
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Using any software plot magnitudes of I, XL,XC, VL, VC,VR as a function of L when the inductance of a series RLC circuit is varying
Using software like Python and MATLAB we can plot magnitudes of I, XL,XC, VL, VC,VR as a function of L when the inductance of a series RLC circuit is varying.
To plot the magnitudes of I, XL, XC, VL, VC, and VR as a function of inductance (L) in a series RLC circuit, you can use software like MATLAB or Python with libraries such as matplotlib or numpy.
The code is given below:
import numpy as np
import matplotlib.pyplot as plt
# Define the parameters of the circuit
R = 100 # Resistance in ohms
C = 1e-6 # Capacitance in Farads
f = 1000 # Frequency in Hz
# Define the range of inductance values
L_values = np.linspace(0.1, 10, 100) # Range of inductance values
# Calculate the quantities for each inductance value
I = 1 / np.sqrt(R ** 2 + (2 * np.pi * f * L_values - 1 / (2 * np.pi * f * C)) ** 2) # Current
XL = 2 * np.pi * f * L_values # Inductive reactance
XC = 1 / (2 * np.pi * f * C) # Capacitive reactance
VL = XL * I # Inductive voltage
VC = XC * I # Capacitive voltage
VR = R * I # Resistor voltage
# Plot the quantities as a function of inductance
plt.plot(L_values, I, label='Current')
plt.plot(L_values, XL, label='Inductive Reactance')
plt.plot(L_values, XC, label='Capacitive Reactance')
plt.plot(L_values, VL, label='Inductive Voltage')
plt.plot(L_values, VC, label='Capacitive Voltage')
plt.plot(L_values, VR, label='Resistor Voltage')
plt.xlabel('Inductance (L)')
plt.ylabel('Magnitude')
plt.legend()
plt.grid(True)
plt.show()
This code snippet calculates the values of current (I), inductive reactance (XL), capacitive reactance (XC), inductive voltage (VL), capacitive voltage (VC), and resistor voltage (VR) for a range of inductance values. Then, it plots these quantities as a function of inductance using the matplotlib library. You can adjust the circuit parameters, such as resistance (R), capacitance (C), and frequency (f), to suit your specific circuit.
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IIf the Sun were twice as massive
its pull on the Earth would double.
the pull of the Earth on the Sun would double.
Its pull on the Earth would double; and the pull of the Earth on lhe Sun would double.
none of the other choices arc correct.
Option C; If the Sun were twice as massive the pull of the Earth on the Sun would double.
A hot, incandescent ball of hydrogen and helium at the center of our solar system, our Sun is a 4.5 billion year old star. Despite the Sun's distance from Earth, which is around 93 million miles (150 million kilometers), life as we know it would not be possible on our planet without the Sun's radiation.
To fill the volume of the Sun, 1.3 million Earths would be required. The solar system is held together by its gravity, which keeps everything in orbit around it, from the largest planets to the smallest pieces of junk. The Sun's core, which reaches temperatures of more than 27 million degrees Fahrenheit, is its hottest region (15 million degrees Celsius).
Option C; If the Sun were twice as massive the pull of the Earth on the Sun would double.
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Find the potential difference between point a and point b for the situation shown below. Here ε1=12.0 V,ε2=9.27∨ and R1=3.73Ω,R2=6.24Ω, and R3=2.08Ω. va−V
Va and Vb are on opposite sides of the 6.24Ω resistor, so the potential difference across the resistor is negative. The circuit given in the figure below is a combination of parallel and series combinations of resistors and sources, which can be easily solved with the help of Kirchhoff's law and Ohm's law.
Solution:
First, let us label the points that are not known. Let Va be the voltage potential at point a, and Vb be the voltage potential at point b.
Voltage potential of point b:
Vb = ε2
Since the voltage source ε2 is directly connected to point b, the voltage potential of point b will be equal to the voltage provided by the source ε2 which is 9.27V.
Voltage potential of point a:
To find the voltage potential at point a, we first need to find the current through the 6.24Ω resistor (R2) since this resistor is connected between points a and b. To find the current flowing through the resistor R2 we need to use Ohm's law:
V = IR
IR = V/R2
Since the two branches are in parallel, the voltage across them will be the same as shown below:
Va - Vb = V1
V1 = i2R2
i2R2 = (ε2 - Va)R2/R1
i1 = (ε1 - Va)/[R1 + (R2R3/R1)]
Therefore, the potential difference between point a and point b is:
Va - Vb = 4.8218V - 9.27V
= -4.4482V
Va and Vb are on opposite sides of the 6.24Ω resistor, so the potential difference across the resistor is negative.
Therefore, the potential at point b is higher than the potential at point a.
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Two drops of mercury each has a charge on 5.44 nC and a voltage of 235.15 V. If the two drops are merged into one drop, what is the voltage on this drop?
To find the voltage of the combined drops, we can just add the voltage of both drops together.
2(235.15) = 470.3 Volts
suppose you had used a metal ball of a different mass (say, ten times heavier). would you expect the value of ay to be the same, or different? why?
The value of ay would be different if you used a metal ball of a different mass.
The acceleration due to gravity (ay) is equal to the force of gravity divided by the mass of the object, so if the mass of the object is increased, the acceleration due to gravity will be decreased. Therefore, if you used a metal ball that was ten times heavier, the acceleration due to gravity (ay) would be decreased by a factor of 10.
When using a metal ball of a different mass, the value of ay would be different. This is because acceleration is inversely proportional to mass, meaning that a heavier object will have a lower acceleration compared to a lighter object.
Therefore, the value of ay will be lower if a metal ball of ten times heavier mass is used compared to the original metal ball used
We know that force is given by:
F = ma
Where,
F: force exerted on the object
m: mass of the object
a: acceleration of the object
Therefore, we can rearrange the equation to get: a = F/m
From this equation, it is clear that acceleration is inversely proportional to mass. This means that a heavier object will have a lower acceleration compared to a lighter object. In the given case, if a metal ball of ten times heavier mass is used compared to the original metal ball used, the value of ay will be lower. This is because the force exerted on the object is the same, but the mass is ten times higher.
Hence, acceleration will be lower. Therefore, the value of ay will be different if a metal ball of different mass is used.
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What is the major difference between a bimetallic stemmed thermometer and a thermistor ?
The major difference between a bimetallic stemmed thermometer and a thermistor is the principle of temperature measurement they utilize.
A bimetallic stemmed thermometer consists of two different metals bonded together. These metals have different coefficients of thermal expansion, causing the strip to bend when exposed to temperature changes. The degree of bending is proportional to the temperature, allowing the measurement of temperature based on the mechanical deformation of the bimetallic strip.
On the other hand, a thermistor is a type of temperature sensor that relies on the change in electrical resistance with temperature. Thermistors are typically made of semiconductor materials that exhibit a significant change in resistance as the temperature varies. The resistance of a thermistor decreases as the temperature increases, and vice versa. This change in resistance is used to measure and indicate the temperature.
In summary, while a bimetallic stemmed thermometer operates based on the mechanical deformation of a bimetallic strip, a thermistor measures temperature by monitoring the change in electrical resistance. Each type of thermometer has its advantages and applications based on the specific temperature range, accuracy requirements, and sensitivity needed in various contexts.
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a force of 365N is used to move an 80kg person. what is the acceleration
Answer:
See below
Explanation:
F=ma
F/m = a = 365/80 =4.56 m/s^2
The function that accepts a pointer to a c-string as an argument and returns the length of the c-string, not including the null terminator is:_________
The function that accepts a pointer to a C-string as an argument and returns the length of the C-string, not including the null terminator is called strlen.
The strlen () function is a standard library function in C and C++. It is defined in the <string.h> header file. The function takes a pointer to a C-string as an argument and returns the length of the C-string, not including the null terminator.
The length of a string as returned by strlen() and similar functions is one less than the amount of storage required. This is because the null terminator is not included in the length of the string. The null terminator is a special character that marks the end of a string and has a value of zero.
Other related functions that can be used with c-strings include strnlen_s, which returns the length of a given null-terminated byte string, and strcpy, which copies a null-terminated string from one location to another.
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two small spheres separated 3.13 m apart have equal positive charge. the electric force between them is 4.57e-2 n. what is the amount of charge on one sphere (in coulombs)?
Two small spheres separated 3.13 m apart have equal positive charge. the electric force between them is 4.57e-2 n. The amount of charge on one sphere is approximately 1.72 x 10^-9 C.
The electric force between two charged spheres can be calculated using Coulomb's law:
F = k * Q1 * Q2 / d^2
Where,
F = the electric force,
k = Coulomb's constant (8.99 x 10^9 N * m^2 / C^2),
Q1 and Q2 are the charges on the two spheres, and d is the distance between them.
Rearranging the equation and solving for one of the charges:
Q1 =\(\sqrt{ (F * d^2 / k)}\) = \(\sqrt{(4.57e-2 N * (3.13 m)^2 / (8.99 x 10^9 N * m^2 / C^2))}\) = 1.72 x 10^-9 C
So, the amount of charge on one sphere is approximately 1.72 x 10^-9 C.
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A person drops a ball off the top of a 10 story building. What statement below best describes the movement of the ball?
Most helpful Answer~
There are no options~
Anyway If the ball is of bad quality it will get deflated/ or strike out.
' The must reasonable thing that could happen is that the ball will bounce'
*Smile* :)
Florida is a peninsula bound by the Atlantic Ocean on the east and the Gulf of Mexico on the west. The sea affects temperatures along Florida’s coast. How do coastal temperatures compare to those inland?
suppose that the forecast errors were 3, 1 and -2 during the past three periods. what is the tracking signal value?
The tracking signal value is 1. The tracking signal can be useful in identifying when adjustments need to be made to the forecast to ensure accuracy.
The tracking signal is a measure of how well the forecast is predicting actual results. To calculate the tracking signal, you first need to calculate the cumulative sum of the forecast errors.
For this scenario, the cumulative sum of forecast errors is:
3 + 1 - 2 = 2
Next, you need to calculate the mean absolute deviation (MAD) of the forecast errors. In this case, the MAD is:
(3 + 1 + 2) / 3 = 2
Finally, the tracking signal is calculated by dividing the cumulative sum of forecast errors by the MAD:
2 / 2 = 1
Therefore, the tracking signal value is 1.
To calculate the tracking signal value, you need to find the cumulative sum of the forecast errors and the mean absolute deviation (MAD) of the forecast errors. In this scenario, the cumulative sum of forecast errors is 2, and the MAD is 2 as well. To find the tracking signal value, divide the cumulative sum of forecast errors by the MAD, which results in a tracking signal value of 1. The tracking signal helps to identify whether the forecast is accurate and can signal when adjustments need to be made. A positive tracking signal indicates that the forecast is consistently higher than actual results, while a negative tracking signal means the opposite.
The tracking signal value for the given forecast errors of 3, 1 and -2 is 1. This indicates that the forecast is relatively accurate, as the cumulative sum of forecast errors is close to the mean absolute deviation of the errors. The tracking signal can be useful in identifying when adjustments need to be made to the forecast to ensure accuracy.
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How much work is done when mass of 3kg(weighing 30N)is lifted vertically through 6m?
Answer:
180 [J].
Explanation:
1) the required work [W] can be calculated as difference of the energy: W=E₂-E₁, where E₁=mgh₁ - the energy before lifting, E₂=mgh₂ - the energy after lifting;
2) W=mgh₂-mgh₁, where m - mass; g=10 [N/kg], h - height;
3) then the required work [W]:
W=mg*(h₂-h₁)=30*6=180 [J].
A spring has a spring constant of 100 N/m. When the spring is compressed by 5 mm (such that \Delta xΔx is negative), determine the restoring spring force.
Given that spring constant, k = 100 N/m and displacement, x = - 5mm = - 0.005 m
The formula of restoring force according to Hooke's law,
\(F=-kx\)Substituting the values, we get
\(\begin{gathered} F=-100(-0.005) \\ =\text{ 0.5 N} \end{gathered}\)Thus, the force is 0.5 N
People who are exceptionally tall (like seven feet and over) often have a disorder that causes them to keep growing past the age most people do in their late teens. What gland would this disorder be associated with?
A.
adrenal
B.
thyroid
C.
pituitary
D.
pancreas
Answer:
C is the answer
Explanation:
The pituitary gland also known as the Master gland controls and regulates secretion of most hormones, when taller people usually grow past expected height this is normally due to the Pituitary gland not properly regulating and it secretes too many growth hormones causing "gigantism."
Mumtaz chooses TWO two digit numbers and divided one by the other. His answe was 2. 12121212121
find the two numbers he used
The two numbers that Mumtaz used are:
15 and 75
27 and 81
39 and 99
21 and 10
Let's assume the two-digit numbers chosen by Mumtaz are represented by "AB" and "CD," where A, B, C, and D are digits.
According to the given information, Mumtaz divided one number by the other and obtained a result of 2.12121212121.
We can express this division as:
(AB) / (CD) = 2.12121212121
To solve this problem, we'll examine the possible values of A, B, C, and D.
First, let's focus on the integer part of the division (before the decimal point). Since the division result is 2, it implies that AB divided by CD must be equal to 2.
So, we have:
(AB) / (CD) = 2
This equation suggests that AB should be twice the value of CD. Let's consider the possible cases:
Case 1: AB = 2 * CD
To find the possible values, we can iterate through all two-digit numbers and check if AB is equal to twice CD.
The possible values for A and C are:
A = 1, C = 5
A = 2, C = 7
A = 3, C = 9
For each value of A and C, we need to find the corresponding values of B and D.
For A = 1 and C = 5, AB = 15, and CD = 75 (since 15 / 75 = 0.2).
For A = 2 and C = 7, AB = 27, and CD = 81 (since 27 / 81 = 0.333...).
For A = 3 and C = 9, AB = 39, and CD = 99 (since 39 / 99 = 0.3939...).
Case 2: AB = 20 * CD
In this case, the value of AB would be twenty times the value of CD.
The only possible values for A and C are:
A = 2, C = 1
For A = 2 and C = 1, AB = 21, and CD = 10 (since 21 / 10 = 2.1).
Therefore, the two numbers that Mumtaz used are:
15 and 75
27 and 81
39 and 99
21 and 10
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