1. There is a resemblance between decimal multiplication and convolution.
2. Binary multiplication is also similar to convolution, but it uses the addition, shift, and subtraction approach in convolution, whereas it uses the addition, shift, and AND approach in multiplication.
3. The output voltage is given as, Vout = K Vin1 Vin2, where K is a proportionality constant determined by the values of the resistors R1 to R4.
4. In the full adder circuit, each bit of the multiplier is convolved with the multiplicand bit, and the result is then shifted left and added to the sum of the previous multiplication result.
1. Decimal multiplication & convolution
There is a resemblance between decimal multiplication and convolution.
Multiplying two decimal numbers is equivalent to convolving their digits, which is proven below.
To obtain the convolution of two decimal numbers, reverse one of them, say 1110, to become 0111, and shift it one decimal place to the left, resulting in 01110.3330 is then multiplied by 1,0,1,1, giving 0.3330, 0,3330, 0,6660, and 0,3330, which are then summed.
The result is the same as multiplying 3330 by 1110.
2. Binary multiplication & convolution
Binary multiplication is also similar to convolution, but it uses the addition, shift, and subtraction approach in convolution, whereas it uses the addition, shift, and AND approach in multiplication.
The AND operation is equivalent to convolving the binary digits and dropping the carry.
Since 33= 00100001 and 11= 00001011, align them with 1 in the LSB, as shown below:
00001011 (11)00100001 (33)&--------00001011+00000000+00000000+00100001=00101010 (42)
Therefore, multiplying 33 by 11 is the same as convolving their binary representation.
3. Linear analogue device
For multiplying two analog voltages, an analog multiplier circuit can be utilized.
The below diagram depicts an analog multiplier circuit that can be used for this purpose.
+------+ +-----------------+
| | | |
IN1 ----| | | |
| AD633 |--- OUT --------| |
IN2 ----| | | |
| | | |
+------+ +-----------------+
It uses two diodes, two operational amplifiers (op-amps), and four resistors to perform multiplication.
When Vin1 and Vin2 are input into the circuit, Vout is obtained.
The two diodes in the circuit enable the multiplication to occur.
The resulting output voltage is given as, Vout = K Vin1 Vin2, where K is a proportionality constant determined by the values of the resistors R1 to R4.
4. Binary multiplication device
A binary multiplication circuit can be implemented using logic gates.
A full adder, which is a combinational circuit that adds three inputs (two binary numbers and a carry bit), can be used to accomplish binary multiplication.
The circuit diagram is shown below:
+---+ +---+
A --| | | |
| | | | +---+
B --| |-------| |-------| |
| | | | | |
+---+ +---+ +---+
| | |
+---+ +---+ +---+
| | | | | |
+---+ +---+ +---+
In the above diagram, the multiplicand is fed to a series of full adders, one for each digit, with each subsequent full adder shifting the product to the left by one digit.
The final sum is the product.
The use of full adders in binary multiplication is equivalent to convolution.
In the full adder circuit, each bit of the multiplier is convolved with the multiplicand bit, and the result is then shifted left and added to the sum of the previous multiplication result.
This process continues until all bits are multiplied and added to produce the final product.
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Which statement correctly classifies distance and displacement? (1 point)
O Both distance and displacement are vector quantities
Distance is a vector quantity, and displacement is a scalar quantity
Both distance and displacement are scalar quantities.
Distance is a scalar quantity, and displacement is a vector quantity.
Answer:
Distance is a scalar quantity, and displacement is a vector quantity
Distance is a scalar parameter and displacement is a vector quantity. Therefore, option (D) is correct.
What are distance and displacement?The distance of a body can be described as the total length traveled by an object. Distance is a scalar quantity because it has only magnitude with no direction. The distance will be always positive (+ve), it can never be zero.
The displacement of a body can be described as the shortest length between two points. The displacement is a vector quantity because it contains both direction and magnitude. The displacement of an object can be positive (+ve), negative (-ve), or zero and can change with time.
The distance can be described as how much ground an object has covered during its motion while displacement is the smallest value of the length between starting and the ending point.
Therefore displacement is a vector while distance is a scalar quantity.
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Provide three examples of situations in which mass is the main factor determining an object's momentum
The three examples of situations in which mass is the main factor determining an object's momentum are, a moving truck, a moving trailer and a rolling block.
What is momentum?Momentum is the product of mass and velocity of an objectP = mv
where;
m is the mass of the objectv is the velocity of the objectThe three examples of situations in which mass is the main factor determining an object's momentum is below;
A moving truck.A moving trailer.A rolling block.The three examples given above shows three objects with heavy mass.
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Name formula mol. Eq mw mmol amount imine intermediate 1. 00 280 mg nabh4 70 mg thf - - - 10 ml product
The number of millimoles of the product produced is: = 0.846 mmol. The equation for the imine intermediate 1 is as follows: C₁₉H₂₁N₃O₂ + NaBH₄ + THF → C₁₉H₂₃N₃O₂ + NaBH₃CN + NaCl + THF
The formula for imine intermediate 1 is C₁₉H₂₁N₃O₂. The molecular weight (MW) of imine intermediate 1 is 331.4 g/mol.
The molecular weight of NaBH₄ is 37.83 g/mol.
The molecular weight of THF is 72.11 g/mol.
Therefore, the amount of NaBH₄ is 70 mg, and the amount of THF is 10 mL.
The number of millimoles of NaBH₄ can be calculated as follows: 70 mg × 1 mol/37.83 g × 1000 mg/1 g
= 1.85 mmol
The number of millimoles of THF is: 10 mL × 0.088 g/mL × 1 mol/72.11 g × 1000 mg/1 g
= 1.22 mmol
The number of millimoles of imine intermediate 1 can be calculated as follows:
280 mg × 1 mol/331.4 g × 1000 mg/1 g
= 0.846 mmol
The number of millimoles of NaBH₃CN produced can be calculated as follows:
1.85 mmol × 1 mol/1 mol
= 1.85 mmol
The number of millimoles of the product produced is:
0.846 mmol × 1 mol/1 mol
= 0.846 mmol
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In ancient times, _____________________was predicting the motion of the stars, while ____________________was predicting how those stars affected us
In ancient times, Astronomy was predicting the motion of the stars, while Astrology was predicting how those stars affected us.
If a star is moving away, its light waves get stretched out to longer, redder, wavelengths, producing a redshift. The faster the star, the greater this shift, so observers can measure the line-of-sight speed from the Doppler shift.the astronomer William Herschel (1738-1822) systematically measured the proper motion of stars in the sky. He found that stars were moving apart in one region and coming closer together in another, and concluded that the Sun was moving toward the region where stars are moving apart.
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i will name brainliest please help
Answer:
Inverse
Explanation:
much like a battery these generate electricity from chemical events
The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.
When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.
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what is the electric potential at a point in space if a charge of 7.3x 10^-17 coulombs at that point has a potential energy of 6.4
Answer:
V = 0.87 volt
Explanation:
Given that,
Charge, \(q=7.3\times 10^{-17}\ C\)
Electric potential energy, \(U=6.4\times 10^{-17}\ J\)
We need to find the value of electric potential at a point. The relation is as follows :
\(V=\dfrac{U}{q}\)
Where
V is electric potential
So,
\(V=\dfrac{6.4\times 10^{-17}}{7.3\times 10^{-17}}\\\\V=0.87\ V\)
So, the value of the electric potential at a point is equal to 0.87 Volts.
what is υx(t), the x-component of the velocity of the squirrel, as function of time?
υx(t) is the x-component of the squirrel's velocity as a function of time. It represents the rate of change of the squirrel's x-position with respect to time.
To determine υx(t), the x-component of the squirrel's velocity as a function of time, you first need to know the squirrel's position function in the x-direction, which is represented as x(t). The position function could be given as a formula, or you might need to find it based on other information.
Once you have the position function x(t), you can find the x-component of the velocity by taking the derivative of x(t) with respect to time. This derivative, denoted as υx(t) or dx/dt, will give you the rate of change of the squirrel's x-position over time, indicating its velocity in the x-direction.
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Rafe is placing his car on a lift to change the oil and oil filter. He needs to drive up the lift 1.5 meters and the lift raises his car 0.4 meters. What is the IMA (ideal mechanical advantage) of Rafe’s car lift?
Answer:
104 IMA
Explanation:
A 5.00 kg box is being pulled at constant speed up a 30o incline by a force of 45.0 N parallel to the
incline. Determine the coefficient of kinetic friction between the box and the plane.
The coefficient of kinetic friction between the box and the plane would be 0.577.
Coefficient of kinetic frictionThe forces acting on the box can be resolved into two components: the force parallel to the incline, which is 45.0 N, and the force perpendicular to the incline, which is equal to the weight of the box, mg.
The force parallel to the incline can be written as Fpar = mgsinθ, where θ is the angle of the incline, and g is the acceleration due to gravity (9.81 m/s^2).
Since the box is being pulled at a constant speed, the force of kinetic friction, F, is equal in magnitude to the parallel force, Fpar. Thus, we can write:
F = mgsinθ = 5.00 kg x 9.81 m/s^2 x sin(30o) = 24.5 N
μ = F / Fperp = (mgsinθ) / (mgcosθ) = tanθ
Substituting the value of θ, we get:
μ = tan(30o) = 0.577
Therefore, the coefficient of kinetic friction between the box and the plane is 0.577.
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a ferris wheel 50 ft in diameter makes on revoltuopms every 40 secs. if the center of the wheel is30 ft abovce the groud, how long after reahcing the low point isa rider 0 ft aboe the ground?
It takes 20 seconds for the rider to reach the low point and be 0 ft above the ground.
Since the Ferris wheel has a diameter of 50 ft, its radius is 25 ft (50/2 = 25). The rider will be 0 ft above the ground at the lowest point of the ferris wheel, which is when they are at the bottom of the wheel.
The circumference of the ferris wheel can be calculated using the formula C = 2πr, where r is the radius.
C = 2π(25) = 50π ft
The time it takes for one revolution is given as 40 seconds.
To find the time it takes for the rider to reach the low point, we need to determine what fraction of one revolution it takes to get there.
One revolution is equal to the circumference of the ferris wheel, which we calculated as 50π ft.
So, the distance the rider needs to travel to reach the low point is half of the circumference, which is 25π ft.
The time it takes to travel this distance can be calculated using the formula t = d/v, where d is the distance and v is the velocity. The velocity can be calculated by dividing the distance traveled in one revolution (50π ft) by the time it takes for one revolution (40 seconds).
v = (50π ft) / (40 seconds) = (5/4)π ft/s
t = (25π ft) / ((5/4)π ft/s) = 20 seconds
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How are EM waves similar?
They are all forms of light
They all have the same frequency
They all have the same energy level
Answer:
Electromagnetic waves have crests and troughs similar to those of ocean waves.
Explanation:
The distance between crests is the wavelength. hope this helps you :)
Determine both the mass and the charge of a block of material consisting of 3 x 10^27 protons, 3 x 10^37 neutrons, and 3.1 x 10^27 electrons.
Answer:
The mass of the block of material is 3 x 10³⁷ g/mol
The charge of the material is 4.8 x 10⁸ C
Explanation:
Given;
number of protons of the material, P = 3 x 10²⁷
number of neutrons in the material, N = 3 x 10³⁷
number of electrons in the material, E = 3 x 10²⁷
The mass of the block of material is calculated as follows;
M = P + N
M = 3 x 10²⁷ + 3 x 10³⁷
M = 3 x 10³⁷ g/mol
The charge of the material is calculated as follows;
charge of 1 electron = 1.6 x 10⁻¹⁹ C
charge of 3 x 10²⁷ electrons = 3 x 10²⁷ electrons x 1.6 x 10⁻¹⁹ C
= 4.8 x 10⁸ C
compare transportation in the past and present
Answer:
In the past, the primary means of transportation was walking or riding on horses, carriages, or boats. Now, we use the same methods of transportation, but we have added planes, trains, automobiles, and jet skis. With the advancement of technology, we have faster and more efficient ways of getting from one place to another. Additionally, electric vehicles are becoming more available and popular. Cars are fueled by more efficient and fuel-efficient engines, and planes are powered by more efficient engines, allowing for longer haul flights. Public transportation has also improved over the years, making it easier to get to and from destinations.
Explanation:
What is the acceleration of a baseball that has a final velocity of 15.0 m/s when it crosses the plate 2.0 seconds after leaving the pitchers hand? The initial velocity is 0./0 m/s and the baseball is traveling forward.
Answer:
7.5m/s²
Explanation:
Acceleration is the change in velocity of a body with respect to time.
acceleration = change in velocity/time
a = Δv/t
a = v-u/t
v is the final velocity = 15.0m.s
u is the initial velocity = 0.0m/s
t is the time = 2.0s
Substituting the values to get a
a - 15-0/2
a = 15/2
a = 7.5m/s²
Hence the acceleration of the baseball is 7.5m/s²
which of the following is a clinical sign of bulimia nervosa? multiple choice swollen salivary glands lanugo low body temperature hair loss
The correct answer is:Swollen salivary glands.This is a clinical sign of bulimia nervosa, as it is a physical manifestation of the condition, often caused by frequent vomiting.
Bulimia nervosa is an eating disorder characterized by episodes of binge eating followed by compensatory behaviors such as purging (self-induced vomiting and laxative or diuretic misuse) in an attempt to avoid weight gain. Other compensatory behaviors may include fasting and excessive exercise. Bulimia nervosa is associated with feelings of distress, shame, and guilt. People with bulimia often struggle with body image issues and may have difficulty regulating emotions
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complete question:
which of the following is a clinical sign of bulimia nervosa?
multiple choice
a. swollen salivary glands
b. lanugo
c. low body temperature
d. hair loss
What is the answer to this question?
Answer:it c
Explanation: I took the test
Managers' personalities can be described by a point on a scale where each of the ______ traits has a high and low range.
Managers' personalities can be described by a point on a scale where each of the Big Five traits has a high and low range.
The Big Five personality traits, also known as the Five-Factor Model (FFM), provide a framework for understanding and describing human personality. These traits include openness, conscientiousness, extraversion, agreeableness, and neuroticism. Each trait exists on a spectrum, ranging from high to low levels. For example, someone may exhibit high levels of openness if they are curious, imaginative, and open to new experiences, while low levels of openness may indicate a preference for routine and tradition. Similarly, the other traits—conscientiousness, extraversion, agreeableness, and neuroticism—also have their high and low ranges, capturing various aspects of an individual's personality. By assessing where individuals fall on these trait dimensions, we can gain insights into their managerial style and approach to work.
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Children on the autism spectrum are at risk for nutritional deficiencies because?
Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.
I hope this helps!
What is the density of an object that has a mass of 25 grams and a volume of
100 mL?
Answer:
o.25
Explanation:
because the formula for density is=mass/volume
Answer:
D=M/V
25/ 100=0.25
Explanation:
how do you determine final velocity in projectile motion
the fall of a body on the earth's surface cannot be a complete free fall why ?
Explanation:
because the boy has larger surface area due to which he offers the larger air resistance which decreases the acceleration so, he will fall towards the earth's surface approximately with constant velocity.
sound wave moving through water has a frequency of 256 Hz and a wavelength of 5.77m. What is the speed of sound in water?
The speed of sound in water is approximately 1477.12 m/s. To find the speed of sound in water, we can use the formula: Speed = Frequency × Wavelength.
In this case, the given frequency is 256 Hz, and the wavelength is 5.77 m. By multiplying these values, we obtain the speed of sound in water.
Substituting the numbers into the formula, we get: Speed = 256 Hz × 5.77 m = 1477.12 m/s. Therefore, the speed of sound in water is approximately 1477.12 m/s.
This value represents the rate at which the sound wave propagates through water, indicating how quickly the disturbances caused by the wave travel through the medium.
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HELP. A river flows South with a speed of 8m/s. From the shore, you see a boat moving South with a speed of 10 m/s. From their frame of reference, how fast are the rowers moving?
Answer:
18 m/s
Explanation:
Given that,
Speed of river is 8 m/s due South
From the shore, you see a boat moving South with a speed of 10 m/s. Both boat and river are moving in same direction. The resultant velocity will add up.
v = 10 m/s + 8 m/s
v = 18 m/s
Hence, the rowers are moving with a speed of 18 m/s.
why are astronauts weightless in the space station?
Answer:
Astronauts float around in space because there is no gravity in space. Everyone knows that the farther you get from Earth, the less the gravitational force is. Well, astronauts are so far from the Earth that gravity is so small. This is why NASA calls it microgravity.
Explanation:
A car moving with an initial velocity of 36 m/s slows down at a constant rate of -2.8 m/s^2 . What distance does the car travel after 3 seconds of deceleration? Remember to include units in your answer! *
Answer:
the distance covered by the car is 95.4 m.
Explanation:
Given;
initial velocity of the car, u = 36 m/s
acceleration of the car, a = -2.8 m/s²
time of motion of the car, t = 3 s
The distance covered by the car is calculated as;
s = ut + ¹/₂at²
s = 36(3) + ¹/₂ x (-2.8)(3)²
s = 108 - 12.6
s = 95.4 m
Therefore, the distance covered by the car is 95.4 m.
rapid gas exchange can be accomplished more easily in air than in water because
Rapid gas exchange can be accomplished more easily in air than in water because air has a lower viscosity and contains a higher concentration of oxygen compared to water.
The lower viscosity of air means that it offers less resistance to the movement of gases, allowing for quicker diffusion. In contrast, water has a higher viscosity, making it more challenging for gases to move and diffuse rapidly.
Furthermore, the higher concentration of oxygen in air facilitates efficient gas exchange. Oxygen is required for respiration, and organisms need to extract oxygen from their environment to support metabolic processes. Air contains a higher percentage of oxygen compared to water, which enhances the availability of oxygen for respiration.
Additionally, the physical properties of air, such as its lower density and higher compressibility compared to water, further facilitate gas exchange. These properties enable organisms to more easily ventilate their respiratory surfaces and exchange gases with the surrounding environment.
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Spring compressed 10cm by 100N force and held in place with Pin. Pin is pulled and block is pushed Up the incline. Uk(coefficient of kinetic energy)=. 39
Determine the speed of block after the Spring extends forward 7cm,
Determine the height at which the block will stop moving
Determine the length of the incline such that the leading edge of the block is stopped when the block reaches the end of the incline.
The compression of 10 cm by a 100 N force on the plane that has a
coefficient of friction of 0.39 give the following values.
The velocity of the block after the Spring extends 7 cm is approximately 1.73 m/sThe height at which the block stops rising is approximately 1.1415 mThe length of the incline is approximately 1.536 mHow can the velocity and height of the block be calculated?Mass of the block, m = 3 kg
\(Spring \ constant, K = \dfrac{100 \, N}{0.1 \, m} = \mathbf{ 1000\, N/m}\)
Coefficient of kinetic friction, \(\mu_k\) = 0.39
Therefore, we have;
Friction force = \(\mathbf{\mu_k}\)·m·g·cos(θ)
Which gives;
Friction force = 0.39 × 3 × 9.81 × cos(48°) ≈ 7.68
Work done by the motion of the block, W ≈ 7.68 × d
The work done = The kinetic energy of the block, which gives;
\(\mathbf{\dfrac{1}{2} \times k \cdot x^2 }= 7.68 \cdot d\)
The initial kinetic energy in the spring is found as follows;
K.E. = 0.5 × 1000 N/m × (0.1 m)² = 5 J
The initial velocity of the block is therefore;
5 = 0.5·m·v²
v₁ = √(2 × 5 ÷ 3) ≈ 1.83
Work done by the motion of the block, W ≈ 7.68 N × 0.07 m ≈ 0.5376 J
Chane in kinetic energy, ΔK.E. = Work done
ΔK.E. = 0.5 × 3 × (v₁² - v₂²)
Which gives;
ΔK.E. = 0.5 × 3 × (1.83² - v₂²) = 0.5376
Which gives;
The velocity of the block after the Spring extends 7 cm, v₂ ≈ 1.73 m/sThe height at which the block will stop moving, h, is given as follows;
\(At \ the \ maximum \ height, \ h, \ we \ have ; \ \dfrac{1}{2} \times 1000 \times 0.1^2 = 7.68 \times x\)
Which gives;
\(Length \ of \ the \ incline \ at \ maximum \ height, \ x_{max} =\dfrac{ 7.68 }{ \dfrac{1}{2} \times 1000 \times 0.1^2 } \approx 1.536\)
The distance up the inclined, the block rises, at maximum height is therefore;
\(x_{max}\) ≈ 1.536 m
Therefore;
h = 1.536 × sin(48°) ≈ 1.1415
The height at which the block stops rising, h ≈ 1.1415 mFrom the above solution for the height, the length of the incline is he
distance along the incline at maximum height which is therefore;
Length of the incline, \(x_{max}\) = 1.536 mLearn more about conservation of energy here:
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A ga at a temperature of 50°C i under a preure of 700 MM Hg what will the preure be at 30°C auming the volume tay contant
The pressure will 657 MM Hg.
The relationship between pressure and temperature for a fixed volume of an ideal gas can be described by the Ideal Gas Law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.
P1 = (700 mm Hg) x (101.3 kPa / 1 mm Hg) = 70,910 Pa
T1 = (50 + 273.15) K = 323.15 K
T2 = (30 + 273.15) K = 303.15 K
P2 = (70,910 Pa) x (303.15 K / 323.15 K) = 65,688 Pa
Therefore, the pressure at a temperature of 30°C while keeping the volume constant would be 65,688 Pa, which is equivalent to 657 mm Hg.
Since the volume is constant in this case, we can see that the pressure is directly proportional to the temperature. Therefore, if we decrease the temperature by 20°C, the pressure will also decrease by a factor of (T2/T1)(1-γ), where γ is the adiabatic index of the gas. In reality, the pressure will not decrease exactly as calculated using the Ideal Gas Law, since the gas is not an ideal gas and the volume may not remain constant. However, the Ideal Gas Law provides a useful approximation in many situations.
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A 1400 kg car is traveling at a rate of speed of 32 m/s for 2 hours. For the remaining 3 hours of the trip the car travels at an average rate of speed of 38 m/s. What was the average change in momentum?
The average change in momentum for the car during the trip is 8400 kg·m/s.
What is Momentum?
Momentum is a vector quantity, meaning it has both magnitude and direction. The direction of momentum is the same as the direction of velocity, and its magnitude is proportional to both the mass and the velocity of the object.
Then, we calculate the final momentum of the car during the remaining 3 hours:
Final momentum during the remaining 3 hours = mass × final velocity during the remaining 3 hours = m × v2
Now, we can calculate the average change in momentum:
Average change in momentum = Final momentum - Initial momentum
= (Final momentum during the first 2 hours + Final momentum during the remaining 3 hours) - Initial momentum
= [(m × v2) + (m × v2)] - (m × v1)
= 2m × v2 - m × v1
Plugging in the given values:
Mass of the car (m) = 1400 kg
Initial velocity (v1) = 32 m/s
Final velocity during the first 2 hours (v2) = 38 m/s
Average change in momentum = 2m × v2 - m × v1
= 2 × 1400 kg × 38 m/s - 1400 kg × 32 m/s
= 53200 kg·m/s - 44800 kg·m/s
= 8400 kg·m/s
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