The force exerted by the ground on each of the front wheels is 4532 N. and the force exerted by the ground on each of the back wheels is 6108 N.
a) Calculation of the force exerted by the ground on each of the front wheels of a 1540-kg parked truck
The force exerted by the ground on each of the front wheels can be calculated as follows:
First, calculate the weight of the truck using the
formula: w=mg
Where w is the weight of the truck,
m is the mass of the truck, and
g is the acceleration due to gravity.
Substituting the given values in the formula, we have:
w=mg=1540×9.8=15172 N
Next, calculate the moment of the weight of the truck about the rear axle using the formula: mr =w×(l−d)
Where mr is the moment of the weight of the truck about the rear axle,
w is the weight of the truck,
l is the wheelbase, and
d is the distance between the center of mass and the front axle.
Substituting the given values in the formula, we have:
mr=15172×(3.13−1.3)=24967.84 Nm
Since the truck is in equilibrium, the force exerted by the ground on each of the front wheels must be equal to the weight of the truck minus half of the moment of the weight of the truck about the rear axle, divided by the distance between the front and rear axles.
Therefore, we have F=½(w×l−mr)/
where F is the force exerted by the ground on each of the front wheels. Substituting the given values in the formula, we have F=½(15172×3.13−24967.84)/3.13=4532 N
b) Calculation of the force exerted by the ground on each of the back wheels of a 1540-kg parked truck.
The force exerted by the ground on each of the back wheels can be calculated as follows:
Since the truck is in equilibrium, the force exerted by the ground on each of the back wheels must be equal to the weight of the truck minus the force exerted by the ground on each of the front wheels.
Therefore, we have: F= w−2Ff
Where F is the force exerted by the ground on each of the back wheels, and Ff is the force exerted by the ground on each of the front wheels.
Substituting the given values in the formula, we have: F=15172−2×4532=6108 N
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An aquarium has a volume of 2.75 cubic
meters. How many liters of water can the
aquarium hold?
Temperature and kinetic energy have a________
relationship.
how many atoms in each element of 4Al2O3
The smallest component of a chemical that can't be chemically broken down to produce static electricity has 18.06 10–23 atoms in each of its elements, which is 4Al2O3.
What are the 3 different types of atoms?Protons, electrons, and neutrons are the three fundamental type of particles found in atoms. In contrast, the mass of the electron is extremely little compared to that of neutrons and protons. A neutrons has no charge, a proton has a positive charge, and an electron has a negative charge.
How is the atom created?After the Big Big 13.7 billion years ago, atoms began to form. Conditions for the formation of quarks and electrons improved when the scorching, dense new universe cooled. Protons and neutrons were created when quarks joined to form nuclei from these particles.
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Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).
Answer:
Explanation:
For every action (or force), there is an equal and opposite action (or force).
A car is driving down the road at 30 MPH. A bug hits the windshield with a force of 50N. With what force does the car hit the bug?
Group of answer choices
80N
20N
50N
300N
Answer:
80 N
Explanation:
The windshield is a part of the car and the bug hits it so the bug hits the car. they both are in opposite directions so their total force will be 80N
Of the following approximate conversions of celsius into fahrenheit, which is most accurate? a. 24°c almost-equals 75.9°f b. 2°c almost-equals 35.8°f c. 34°c almost-equals 92.7°f d. 13°c almost-equals 55.0°f
The most accurate among the options is 13°c almost-equals 55.0°f, when you round down 55.4, you get 55.0
Hence, option D) is the most accurate.
What is Scale of Temperature?Scale of temperature is simply a method used in calibrating the physical quantity of temperature in metrology.
Conversion of Celsius into Fahrenheit, Formula is expressed as;
Degree = (0 × 9/5) + 32 = Fahrenheit
First we check each option;
A) 24°c almost-equals 75.9°f
24°C = (24 × 9/5) + 32 = 75.2°F
B) 2°C almost-equals 35.8°f
2°C = (2 × 9/5) + 32 = 35.6°F
C) 34°C almost-equals 92.7°f
34°C = (34 × 9/5) + 32 = 93.2°F
D) 13°c almost-equals 55.0°f
13°C = (13 × 9/5) + 32 = 55.4°F
The most accurate among the options is 13°c almost-equals 55.0°f, when you round down 55.4, you get 55.0
Hence, option D) is the most accurate.
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what two forces contribute to the nuclear tug of war in an atom
Answer:2 protons and 2 neutrons
Explanation:In Nuclei, There are 2 forces. 1 force is electrostatic and acts as repulsion between 2 protons. The other is force of attraction called Nuclear force between 2 neutrons.
An object has an acceleration of 6 m/s/s. If the net force
was tripled and the mass were halved, then the new
acceleration would be m/s/s.
Answer:
\(F = ma \\ a = \frac{F}{m} = 6 \\ when \: force \: is \: trippled \: and \: mass \: is \: halved \\ a = \frac{3F}{ \frac{1}{2} m} = \frac{3}{2} \times 6 \\ a = \frac{(3 \times 6)}{2} \\ a = \frac{18}{2} \\ a = 9 \: m {s}^{ - 2} \)
A block of wood is pushed across a rough surface and slides to the right until it comes to a stop. What is the direction of the force of friction on the block of wood?
Answer: left side
Explanation:
Given
Block of wood is pushed to the right
As friction always resist the motion, it must be acting towards the left side to stop the block
The position-time equation of a particle (P) moving in the space reference
system Ox is:
x = 3t? +10t+4 [SI]
1) Specify the nature of motion of (P).
Deduce the values of the acceleration, initial velocity and initial position of
(P).
Write the expression of the velocity of (P) as a function of time. Calculate
its value at t=3s.
Calculate the displacement between t = 2s and t; = 4s.
Which action would not speed up erosion in a Texas ecosystem?
A
High winds
B
Flash flooding
C
Acid rain
D
Large waves
20kVA,2500/250 V,50 Hz, single-phase transformer gave the following test result: Open-circuit test: 250 V,1.5 A, and 100 watts measured on the low voltage side Short-circuit test: 100 V,8 A, and 320 watts measured on the on high voltage side On which side the tests were done? Please show your work and highlight your answers Find the approximate equivalent circuit a) Referred to the high side b) Referred to the low side
The open-circuit test was performed on the low voltage side of the transformer, while the short-circuit test was performed on the high voltage side.
To find the approximate equivalent circuit referred to the high side, we need to calculate the following parameters:
1. Referred Resistance (R'):
\(R' = (Short-circuit power) / (Short-circuit current)^2\)
\(R' = 320 watts / (8 A)^2\)
\(R' = 320 watts / 64 A^2R' = 5 ohms\)
2. Referred Reactance (X'):
X' = sqrt[(Open-circuit power)^2 - (Referred Resistance)^2]
\(X' = sqrt[(100 watts)^2 - (5 ohms)^2]\)
\(X' = sqrt[10000 - 25]\)
\(X' = sqrt[9975]\)
\(X' ≈ 99.87 ohms\)
The approximate equivalent circuit referred to the high side is represented as follows:
Series combination of Referred Resistance (R') and Referred Reactance (X') in parallel with the ideal transformer.
To find the approximate equivalent circuit referred to the low side, we can use the following formulas:
1. Referred Resistance (R''):
\(R'' = (Referred Resistance) * (Turns ratio)^2\)
\(R'' = 5 ohms * (2500 V / 250 V)^2\)
\(R'' = 5 ohms * (10)^2\)
\(R'' = 5 ohms * 100\)
\(R'' = 500 ohms\)
2. Referred Reactance (X''):
\(X'' = (Referred Reactance) * (Turns ratio)^2\)
\(X'' = 99.87 ohms * (2500 V / 250 V)^2\)
\(X'' = 99.87 ohms * (10)^2\)
\(X'' = 99.87 ohms * 100\)
\(X'' = 9987 ohms\)The approximate equivalent circuit referred to the low side is represented as follows:
Series combination of Referred Resistance (R'') and Referred Reactance (X'') in parallel with the ideal transformer.
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A device with a wire coal that is mechanically rotated through a
Answer:
A generator is a device that converts mechanical energy into electrical energy by rotating a coil of wire in a magnetic field.
Why does 10 gram bigger cooper than 10 gold
Answer: A gram of gold is worth about $25, so 2 grams or better would be viewed as high-grade for bulk tonnage mining.
Explanation:
i looked it up.
Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
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with the switch open, what is the potential difference between the plates which are separated by a distance d
If the switch is open, there will be no potential difference between the plates since no current is flowing through the circuit to establish a potential difference.
A potential difference, or voltage, is the electrical energy per unit charge that is transferred between two points in a circuit. In this case, the plates are separated by a distance d and are part of a circuit that includes a switch. When the switch is open, the circuit is not complete and no current flows through it. Therefore, there is no transfer of electrical energy between the plates, and no potential difference exists between them.
When a switch is open, it acts as a gap in the circuit, interrupting the flow of electrical current. This means that there is no electrical energy being transferred from one plate to the other.
Potential difference, also known as voltage, is the measure of the electric potential energy per unit charge between two points in a circuit. It is calculated as the work done per unit charge to move a small test charge from one point to another in an electric field.
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a system was heated from 44.30 °c to 109.1 °c, and had a final pressure of 350.5 torr. what was the intial pressure?
The initial pressure of the system was 290.66 torr.
To find the initial pressure of the system, we can use the combined gas law equation:
(P1 × V1) / (T1 × n1) = (P2 × V2) / (T2 × n2)
Since the number of moles (n) and volume (V) are constant, we can simplify the equation to:
P1 / T1 = P2 / T2
Substituting the given values, we have:
P1 / (44.30 + 273.15) = 350.5 / (109.1 + 273.15)
Now, we can solve for P1 by cross-multiplication:
P1 = (350.5 / (109.1 + 273.15)) × (44.30 + 273.15)
P1 = (350.5 / 382.25) × 317.45
P1 = 0.916 × 317.45
P1 ≈ 290.66 torr
Therefore, the initial pressure of the system was approximately 290.66 torr.
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PLEASE HELP QUICK!!!!!!
The top: Deposition, compaction, and cementation. The right: The heat and pressure.
The bottom Right: Melting.
The bottom left: Cooling.
The top left: Weathering and erosion.
Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)
Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.
Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.
Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
Answer: atoms that are attracted to each other because the bonds that form between them can support the creation of the structure
Explanation:
a circular swimming pool has a diameter of 14 m. the circular side of the pool is 3 m high, and the depth of the water is 1.5 m. (the acceleration due to gravity is 9.8 and the density of water is 1000 .) how much work (in joules) is required to: (a) pump all of the water over the side? (b) pump all of the water out of an outlet 2 m over the side?
The work done required to pump all of the water (a) over the side is 6.8094 × 10⁶ J and (b) out of an outlet 2 m over the side is 11.349 × 10⁶ J.
The total amount of work done required to pump all of the water in a circular swimming pool with a diameter of 14 m whose circular side is 3 m high, and the depth of the water is 1.5 m can be calculated as follows:
(a) Pump all of the water over the side:
We have been given that the circular swimming pool has a diameter of 14 m. The depth of the water is 1.5 m. So the radius of the pool can be calculated as:
r = d/2 = 14/2 = 7 m
The volume of the water that needs to be pumped out of the pool is given by the formula:
Volume of water = πr²h
Where h is the depth of the water.
V = πr²h= 22/7 × 7 × 7 × 1.5= 231 m³
The mass of water that needs to be pumped out of the pool can be calculated as follows:
Mass of water = Volume of water × Density of water = 231 × 1000= 231000g
The gravitational force on the water can be calculated as follows:
Gravitational force on water = Mass of water × Acceleration due to gravity = 231000 × 9.8= 2269800 N
Work done in pumping all the water over the side can be calculated as follows:
Work done = Gravitational force on water × Height from the surface to the top of the pool= 2269800 × 3= 6.8094 × 10⁶ J
(b) Pump all of the water out of an outlet 2 m over the side:
Work done in pumping all the water out of an outlet 2 m over the side can be calculated as follows:
Work done = Gravitational force on water × Height of outlet from the surface= 2269800 × 2= 4.5396 × 10⁶ J
Therefore, the total amount of work (in joules) required to pump all of the water over the side and pump all of the water out of an outlet 2 m over the side of the pool is 6.8094 × 10⁶ + 4.5396 × 10⁶ = 11.349 × 10⁶ J.
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An image is formed by a mirror but not by the same cemented wall. why?
The force that acts between the electron and nucleus of an atom is the same force that keeps the planets in their orbits. Is this true or false?
Answer:
The answer is false
because they are held an electric forces or attraction
while the planets are held bt Gravitational foces
which allows them to move about their axis.
Answer: False
This statement is false
Jimmy can travel 550 miles South in 10 hours. Jimmy's velocity is____
Answer:
The answer is
55 miles/hrExplanation:
The velocity or speed of an object can be found by using the formula
\(velocity \: = \frac{distance}{time} \)
From the question
time taken to travel = 10 hours
distance covered = 550 miles
Substitute the values into the above formula and solve for the velocity
That's
\(velocity = \frac{550}{10} \)
We have the final answer as
55 miles/hrHope this helps you
2. A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table at a
speed of 5.0 m/s.
a. How long will it take the cat to hit the floor?
b. How far from the base of the table will the cat land?
Answer:
Below
Explanation:
Here is what we are given in the problem :
dy = - 1.0 m (this is negative because the cat falls)
Vx = 5.0 m/s
We can use this equation to find the time that it will take the cat to fall :
t = √-2dy / g
t = √-2(-1.0) / 9.8
t = √0.20408
t = 0.45 (round this to 2 sig figs)
t = 0.5 seconds
Now we can find dx (distance in the x direction)
dx = vx (t)
dx = (5.0m/s)(0.45s)
dx = 2.258769 m
dx = 2.3 m
Hope this helps! Best of luck <3
I NEED HELP PLEASE, THANKS!
Identify each of the following as a conductors or insulators. Explain.
-cloth
-dry wood
-tap water
-glass
Answer:
Cloth:
It is an insulator since it can't let electricity pass through
Dry Wood:
It is an insulator and can't conduct electricity.
Tap Water:
It is a good conductor as it contains dissolved salts.
Glass:
It is an insulator since it can't let electricity pass through.
( Interactions of the Earth) (Moon, and Sun: Mastery Test Place) the phases of the Moon in the correct order, starting with the new Moon. first-quarter Moon 1 new Moon full Moon 1 gibbous Moon crescent Moon |
Answer:
crest moon
Explanation: because you ar etalking about moons
Determine whether the series is convergent or divergent. 1 + 7n Σ 57 n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 7 4
The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.
To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.
As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.
Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."
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Do automobiles rust quicker in hotter or colder climates? Explain.
Answer:
colder because of moisture
when the displacement in shm is one-fifth the amplitude xm, what fraction of the total energy is kinetic energy?
The displacement in SHM is 1/5 of amplitude, and the fraction of total kinetic energy is Ek = 24/25.
What is SHM?
Simple harmonic motion is described as the periodic motion of a point along a straight line with an acceleration that is always toward a fixed point in that line and a distance from that point that is proportional to that acceleration.
Calculations:
Let’s derive the equations needed from the first principle. For SHM with amplitude A and angular speed ω the displacement is:
s=Asin(ωt) ------------ (1)
Differentiate the displacement to get the velocity:
v=s′=Aωcos(ωt)
So for a mass m, the kinetic energy is:
Ek = 1/2mv²
Ek = 1/2m ×(Aωcos(ωt) )² --------------------- (2)
At time t= 0 the displacement s= 0 and so all the energy is kinetic. Therefore the total energy is:
E (total) = 1/2m ×( Aωcos(0) )²
E (total) = 1/2m × (Aω)² ------------------ (3)
Comparing (2) and (3) we can rewrite the kinetic energy in terms of the total energy:
Ek = E (total) cos²(ωt)
Using the identity cos² (x) + sin² (x) = 1, we can rewrite this equation as:
Ek = Etotal (1−sin²) .(ωt)) ---------------------(4)
We also know that the potential energy U = E(total) − Ek, so:
U = E (total) − E (total) (1−sin²(ωt) )
U = E (total) sin²(ωt) -------------------------(5)
Now in this question, we’re given that s = 1/5 A, so from our displacement formula (1) we have:
s= Asin (ωt) = 1/5A
Inserting this in equation (4) we have for the kinetic energy:
Ek = E (total)(1 − (1/5)²)
Ek = 24/25 (E (total) )
Hence, the displacement in SHM is 1/5 of the amplitude, and the fraction of total kinetic energy is Ek = 24/25.
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Which describes the electric field at the center of a ring of uniform negative charge?.
Answer:
A negatively charged particle -q is placed at the center of a uniformly charged ring, where the ring has a total positive charge Q as shown in the following figure. The particle, confined to move along the x axis, is moved a small distance x along the axis ( where x << a) and released. Show that the particle oscillates in simple harmonic motion with a frequency given by,