Determine the magnitude and direction angles of f2 , so that the resultant of the two forces acts upward along the z axis of the pole and has a magnitude of 275 n. Determine the magnitude and direction angles of , so that the resultant of the two forces acts upward along the axis of the pole and has a magnitude of. F2
Answers
To determine the Magnitude and Direction angles of f2, we need to use the formula for the resultant of two forces acting on a pole:
R = sqrt(f1^2 + f2^2 - 2f1f2cos(theta))
Where R is the resultant force, f1 and f2 are the magnitudes of the two forces, and theta is the angle between them.
Given that the resultant force should act upward along the z axis and have a magnitude of 275 N, we can plug in the values and solve for f2:
275 = sqrt(f1^2 + f2^2 - 2f1f2cos(theta))
Rearranging the equation and squaring both sides, we get:
f2^2 - 2f1f2cos(theta) + f1^2 = 275^2
f2^2 - 2f1f2cos(theta) = 275^2 - f1^2
f2^2 - 2f1f2cos(theta) + f1^2cos^2(theta) = 275^2 - f1^2 + f1^2cos^2(theta)
f2^2 - 2f1f2cos(theta) + f1^2cos^2(theta) - 275^2 + f1^2 - f1^2cos^2(theta) = 0
This is a quadratic equation in f2, and we can use the quadratic formula to solve for f2:
f2 = (-(-2f1cos(theta)) +/- sqrt((-2f1cos(theta))^2 - 4(f1^2cos^2(theta) - 275^2 + f1^2 - f1^2cos^2(theta))(1)))/(2(1))
Simplifying and solving for f2, we get:
f2 = (2f1cos(theta) +/- sqrt(4f1^2cos^2(theta) - 4(f1^2cos^2(theta) - 275^2 + f1^2 - f1^2cos^2(theta))))/2
f2 = (f1cos(theta) +/- sqrt(f1^2cos^2(theta) - f1^2cos^2(theta) + 275^2 - f1^2 + f1^2cos^2(theta)))/1
f2 = (f1cos(theta) +/- sqrt(275^2 - f1^2(1 - cos^2(theta))))/1
f2 = f1cos(theta) +/- sqrt(275^2 - f1^2sin^2(theta))
Now we can plug in the values of f1 and theta to find the magnitude and direction angles of f2.
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Related Questions
Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
Answers
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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Which natural science studies motion and forces?
a.
Mathematics
b.
Biology
c.
Chemistry
d.
Physics
Answers
Answer:
Physics
Explanation:
:):):)
An uncharged object becomes charged without direct contact.
What method of charging is occurring?
Answers
Answer:
chargeing by induction
Explanation:
this is the answer have a great day
can someone help me and give me the right answer
Answers
Answer:
C. sedimentary
Explanation:
Answer:
Sedimentary
Explanation:
Igneous rock- A rock that's formed through the cooling and solidification of magma or lava.
Metamorphic rock- A rock that starts out as another rock and often has a striped appearance.
Volcanic rock- A rock that's formed from lava that erupted from a volcano.
Sedimentary is the only right answer. A Sedimentary rock is a rock thats made from the deposition of lots of pieces of eroded rock particles.
a motorcycle travels west at a speed of 15 m/s. the driver then reverses the direction and goes east at 17 m/s. what is the change in the velocity of the motorcycle?
Answers
Answer:
Explanation:
let east be the positive direction
Δv = vf - vi = 17 m/s - (-15 m/s) = 32 m/s
if you let west be the positive direction, then
Δv = -17 m/s - 15 m/s = -32 m/s
Imagine that person B is more massive than person A in the picture above. 3 points
If they push off of each other with the same amount of force, who will
have the greater acceleration? What law are you applying? Explain how
that law is being applied."
Answers
Answer:bight
Explanation:
if the magnetic field of an electromagnetic wave is in the x-direction and the electric field of the wave is in the y-direction, the wave is traveling in thegroup of answer choicesxy-plane. z-direction.-x-direction.-y-direction.-z-direction.
Answers
The magnetic field of an electromagnetic wave is in the x-direction and the electric field is in the y-direction, the wave is traveling in the z-direction.
The wave is traveling in the xy-plane, as the magnetic field is in the x-direction and the electric field is in the y-direction, indicating that the wave is polarized in the xy-plane. Electromagnetic waves are transverse waves, meaning that the oscillations of the electric and magnetic fields are perpendicular to the direction of wave propagation.
The waves that may go through vacuum space are electromagnetic waves. Magnetic and electrical components are present in electromagnetic waves. All of them move at the speed of light. The atoms of the material absorb and reemit wave energy as part of the energy transport process through a medium.
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can a body have zero velocity and finite acceleration?Explain
Answers
Answer:
Kinda? Depends what the question is fully asking
Explanation:
Acceleration is a change in velocity. So I guess if the velocity of something is -2 m/s and its positively accelerating at a value of +1 m/s, then that means every second its velocity changes by +1m/s.
So that -2 m/s thing after one second will be going -1 m/s.
After another second it'll be going 0 m/s.
After another itll be going +1 m/s and so on.
So at one point for a brief moment, it can have an acceleration but be at 0 m/s velocity.
What ions rush into a neuron during depolarization.
Answers
Answer:
Sodium ions
Explanation:
Please click crown below my answer.
The map shows concentrations of ozone around the world. Ozone shields the earth from harmful ultraviolet light rays from the sun, which cause skin cancers. Aerosol pollutants have reduced levels of ozone by reacting with the ozone. According to the map, what country would likely have the highest rate of skin cancers? Argentina England Japan New Zealand
Answers
The country that would have the highest rate of skin cancers is England
What are the Aerosol pollutants?We know that the chlorofluro carbons are the kind of pollutants that can be able to affect the ozone layer and bore what we call the ozone hole. We know that this can be disastrous to the ozone layer as there would be a combination of the chlorine form these with the ozone and thereby destroy the ozone layer.
We can see from the colored map that the ozone destruction seem to be much more severe in England than in other places.
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Thirty-five coulombs of charge flow through a wire in 2 minutes. determine the current in the wire.
Answers
Thirty-five coulombs of charge flow through a wire in 2 minutes accounts for around 0.29167 amperes in the current wire.
Given:
Electric charge= 30 coulomb
Time for which charge flows through a wire = 2 minutes = 120 seconds
To find:
Electric current flowing in a wire=?
To calculate electric current understand the concept:
An electric current is the flow of charged particles through the conducting material.
The Standard International unit of electric current is Ampere or amp or A.
One ampere is defined as the flow of one-coulomb electric charge in one second.
It can be calculated as follows:
Electric current (Ampere) = Electric charge(Coulomb) ÷ time(seconds)
Electric current (A) = 35 C ÷ 120 s
Electric current = 0.29167 amperes
Hence, the electric current is flowing at the rate of 0.29167C/s or 0.29167 Ampere through a wire.
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Explanation of the Lunar eclipse
● Provide details such as rotation and axis.
● For lunar and solar eclipse describe partial eclipse
and total eclipse. For seasons describe all four seasons.
● Identify the relative position of the sun and earth in each case.
● Use a cause and effect to show how the chosen phenomena
occurs.
Answers
A lunar eclipse occurs when the Moon moves into the Earth's shadow. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, and only on the night of a full moon.
The work done on the box by the static frictional force as the accelerating truck moves a distance D to the left is?
a) Positive
b) Zero
c) Negative
d) Depends on the speed of the truck.
Answers
The work done on the box by the static frictional force as the accelerating truck moves a distance D to the left is zero. The correct answer choice is b).
This is because the static frictional force acts perpendicular to the direction of motion, and therefore does not cause any displacement in the box's position. Work is defined as the product of force and displacement in the direction of the force, so if there is no displacement in the direction of the force, the work done is zero. The speed of the truck does not affect the work done by the static frictional force in this case, as it is solely dependent on the direction and magnitude of the force acting on the box. Therefore, the answer is option b) zero.
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7. Which best describes the energy change th pushes a large rock down a hill?
A: sound energy kinetic energy
B:, potential energy kinetic energy
C: kinetic energy mechanical energy
D: mechanical energy sound energy
Answers
Answer:
B
Explanation:
Gravitational Energy is the energy of position or place. A rock resting at the top of a hill contains gravitational Potential energy. Hydropower, such as water in a reservoir behind a dam, is an example of gravitational potential energy.
I did it and got it right
The long, light-colored lines extending from many craters on the Moon are called rays and are ______.
Answers
Answer:
The long, light-colored lines extending from many craters on the Moon are called rays and are "crater rays".
Explanation:
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In the Newton's ring experiment, the diameter of 4 and 10% dark ring are 0.30 cm and 0.62 cm, respectively. a) What is the diameter of 15th dark ring? b) Calculate the wavelength of the light, if the
Answers
Answer: In the Newton's ring experiment, the diameter of the 4th dark ring is 0.30 cm and the diameter of the 10th dark ring is 0.62 cm. We can use this information to find the diameter of the 15th dark ring and calculate the wavelength of the light.
Explanation:
In the Newton's ring experiment, the diameter of the 4th dark ring is 0.30 cm and the diameter of the 10th dark ring is 0.62 cm. We can use this information to find the diameter of the 15th dark ring and calculate the wavelength of the light.
a) To find the diameter of the 15th dark ring, we can use the formula for the diameter of the nth dark ring:
d_n = sqrt(n * λ * R)
where d_n is the diameter of the nth dark ring, n is the order of the ring, λ is the wavelength of the light, and R is the radius of curvature of the lens.
Since we want to find the diameter of the 15th dark ring, we can substitute n = 15 into the formula and solve for d_15:
d_15 = sqrt(15 * λ * R)
b) To calculate the wavelength of the light, we can use the formula:
λ = (\(d_10^2 - d_4^2\)) / (\(10^2 - 4^2\))
where d_10 is the diameter of the 10th dark ring and d_4 is the diameter of the 4th dark ring.
Substituting the given values, we have:
λ = (\(0.62^2 - 0.30^2\)) / (\(10^2 - 4^2\))
Simplifying this expression will give us the value of the wavelength of the light used in the experiment.
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If you have 5 protrons and 6 neutrons how many electrons would you need to make a neutral atom
Answers
Don’t be confused about the neutron number because it doesn’t have a charge!
Proton number should equal electron number
A quantity of ice at 0.0 C is added to 64.3 g of water in a glass at 55 C, After the ice melted, the temperature of the water in the glass was 15 C. The heat of fusion of water is 6.01 kJ/mol and the specific heat is 4.18 J/g-C. How much ice was added?
Answers
The calculation is based on the heat transferred during the process. Heat of fusion and specific heat values were used to determine the amount of ice. 40.12 grams of ice were added to the glass.
To determine the amount of ice that was added, we can calculate the heat transferred during the process.
1. First, calculate the heat transferred from the water to melt the ice:
Q1 = m1 * C1 * (Tf1 - Ti1)
Where:
- m1 is the mass of water
- C1 is the specific heat of water
- Tf1 is the final temperature of the water (15°C)
- Ti1 is the initial temperature of the water (55°C)
2. Next, calculate the heat required to melt the ice:
Q2 = m2 * ΔHf
Where:
- m2 is the mass of ice
- ΔHf is the heat of fusion of water
3. The total heat transferred during the process is equal to zero since the system is isolated:
Q1 + Q2 = 0
4. Rearrange the equation to solve for m2:
m2 = -Q1 / ΔHf
Now, let's calculate the values:
Q1 = 64.3 g * 4.18 J/g°C * (15°C - 55°C)
Q1 = -13426.9 J
ΔHf = 6.01 kJ/mol * (1 mol/18.02 g) * 1000 J/kJ
ΔHf = 334.85 J/g
m2 = -(-13426.9 J) / 334.85 J/g
m2 ≈ 40.12
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The main water line enters a house on the first floor. The line has a gauge pressure of 2.52 x 105 Pa. (a) A faucet on the second floor, 4.50 m above the first floor, is turned off. What is the gauge pressure at this faucet
Answers
The gauge pressure at the faucet on the second floor when turned off is approximately 2.08 x 10⁵ Pa.
How to determine the gauge pressureTo find the gauge pressure at the faucet on the second floor, we need to consider the height difference (4.50 m) and calculate the hydrostatic pressure due to this height change.
Hydrostatic pressure (ΔP) can be calculated using the formula ΔP = ρgh, where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²), and h is the height difference (4.50 m).
ΔP = 1000 kg/m³ × 9.81 m/s² × 4.50 m ≈ 44145 Pa
To find the gauge pressure at the second-floor faucet, subtract the hydrostatic pressure from the initial gauge pressure:
Gauge pressure (second floor) = 2.52 x 10⁵ Pa - 44145 Pa ≈ 2.08 x 10⁵ Pa
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A star is observed to have an apparent brightness which is 10⁻⁴ times its absolute brightness. How far away is it?
Answers
The star is located at a distance of 31.62 parsecs from us.
To determine the distance of the star, we need to use the inverse square law, which states that the apparent brightness of a star decreases as the square of its distance increases. Mathematically, it can be represented as:
Apparent brightness ∝ 1/Distance²
Given that the star's apparent brightness is 10⁻⁴ times its absolute brightness, we can write:
Apparent brightness = Absolute brightness/ (Distance)²
10⁻⁴ = Absolute brightness/ (Distance)²
Solving for distance, we get:
Distance = √(Absolute brightness/10⁻⁴)
However, we don't have the value of absolute brightness. But we can use the information that the star is observed to have an apparent magnitude of 10. Since apparent magnitude is a logarithmic scale, we know that a difference of 5 magnitudes corresponds to a difference of 100 times in brightness. Therefore, the star's absolute magnitude can be calculated as:
Absolute magnitude = Apparent magnitude - 5 log(distance/10)
Substituting the values, we get:
10 = Absolute magnitude - 5 log(distance/10)
Absolute magnitude = 10 + 5 log(10⁻⁴) = 14
Therefore, the distance can be calculated as:
Distance = 10^(1+((Apparent magnitude - Absolute magnitude)/5))
= 10^(1+((10 - 14)/5))
= 31.62 parsecs
Thus, the star is located at a distance of 31.62 parsecs from us.
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why is water not suitable for hydraulic machine
Answers
Answer:
Hydraulic fluid has a higher boiling point than water to help combat this. Related to this is the concept of vapor pressure. Hydraulic systems often involve small orifices, which can cause cavitation (localized boiling). Water will also exacerbate galvanic corrosion when dissimilar metals are used in the system.
Which event causes the least amount of time to go by on the game clock?
Question 3 options:
A three-point shot
A bounce pass
A free throw
An alley-oop
Answers
The event that causes the least amount of time to go by on the game clock is a free throw.
In basketball, a free throw is an unhindered shot made from behind a set line.This throw (free throw) is produced because of a foul caused by an opponent.The obtention of free throws can be a strategy to win a game.In conclusion, the event that causes the least amount of time to go by on the game clock is a free throw.
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what is meant by input and output work
Answers
Answer:
the x and y values
Explanation:
because on the table the x is the input and y is the output
A car accelerates from 0 mph to 40 mph. Its velocity at time (t) is 5t mph, where is in seconds. Use an integral to find the total distance in miles it travels during its acceleration.
Answers
The velocity of a car during its acceleration is given by the equation 5t mph, where t is in seconds. The total distance traveled by the car during its acceleration is 160 miles.
The velocity function is given as 5t mph.
To get the total distance, we integrate the velocity function over the appropriate time interval. The car starts from 0 mph and reaches 40 mph, so the time interval is determined by solving the equation 5t = 40:
5t = 40
t = 8 seconds
The integral of the velocity function over the interval [0, 8] gives us the total distance traveled:
distance = ∫[0, 8] 5t dt
Evaluating the integral:
distance = 5 ∫[0, 8] t dt
= 5 [t^2/2] evaluated from 0 to 8
= 5 [(8^2/2) - (0^2/2)]
= 5 [32 - 0]
= 5 * 32
= 160 miles
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A car weighing 8000N is traveling at 45 m/s on a perfectly flat, frictionless road. If the driver slams on the brakes, how far will thw car slide before it comes to a stop?
Answers
Without friction, the car cannot stop...
Question 1 of 25
In the circuit below, resistors R₁ and R₂ are in parallel. What is the equivalent resistance? (R₁- 75 QR₂-500)(+/-) R₁
A. 3002
Β. 0.008 Ω
C. 250
D. 1250
Rot
Answers
The value of equivalent resistance in the given parallel resistance circuit is 65.21 Ω.
Two resistors are connected in parallel when they are connected between the same two nodes.
Although parallel resistors have the same voltage drop, the currents passing through them may not be identical. Resistors that are electrically parallel don't necessarily have two parallel lines.
Resistance of the first resistor, R₁ = 75 Ω
Resistance of the second resistor, R₂ = 500 Ω
The expression for the equivalent resistance in the parallel resistance circuit is given by,
1/Req = 1/R₁ + 1/R₂
So,
Req = R₁R₂/(R₁ + R₂)
Req = 75 x 500/(75 + 500)
Req = 37500/575
Req = 65.21 Ω
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Give 2 advantages of sleeping
Answers
Answer:
Physiological benefits: Sleeping is essential for the body to repair and rejuvenate itself. During sleep, the body produces hormones that help to repair tissues and muscles, boost the immune system and improve overall physical health. Adequate sleep also helps in maintaining a healthy body weight, blood pressure and glucose levels.
Cognitive benefits: Sleep plays a crucial role in cognitive function, including learning, memory and mood. During sleep, the brain processes and consolidates information learned during the day, which helps to improve memory and learning. Adequate sleep also helps to improve mood, reduce stress and anxiety, and increase creativity and problem-solving skills.
Answer:
1) helps in reducing stress
2) make a person feel relaxed
A 50 n force is acting on a lever 1.5 m from the fulcrum balances an object 1m from the fulcrum on the other arm. what is the weight of the object in n and what is the mass in kg
Answers
Answer:
A 100 N force acting on a lever 2 m from the fulcrum balances an object 0.5 m from the fulcrum on. ... What is the weight of the object(in newtons)? What is its mass (in kg)? ... mass at the one end and effort arm is the distance between pivot and effort applied at the other end.
Explanation:
hpoe this helps you.
In the model from the lesson, what did the moped riders represent?
A. Angry customers
B. Battery
C. Resistance
D. Flow of charge
Answers
Moped riding represent angry customers in the model from the lesson.
What is moped riding?Moped riding refers to the riding of a special type of small motorcycle, generally having a less stringent licensing requirement than full motorcycles or automobiles.
Generally, the word "moped riding" describes any two-wheeledth with a step-through chassis and footrest platform. These two-wheeled vehicle are usually equipped with bicycle-like pedals that the rider uses to propel the vehicles.
Although motorcycles are usually very harder to learn to ride
The following are other types of riders:
Climber.Puncheur.Breakaway specialist, or baroudeur.Time trialist.Rouleur.Sprinter.Domestique.All-rounder.So therefore, moped riding represent angry customers in the model from the lesson.
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When light in air enters an opal mounted on a ring, the light travels at a speed of 2.07×10^8 m/s. What is opal’s index of refraction?
Answers
The opal's index of refraction is 1.45 based on speed of light.
To find the opal's index of refraction, we need to use the formula:
Index of refraction = speed of light in a vacuum / speed of light in the material
We know that the speed of light in air (which is close to a vacuum) is \(2.07*10^8 m/s\). To find the speed of light in the opal, we need to know the opal's index of refraction.
Let's call the opal's index of refraction "n". Then we can write:
n = speed of light in a vacuum / speed of light in the opal
We can rearrange this equation to solve for n:
n = speed of light in a vacuum / (speed of light in air / opal's refractive index)
\(n = 2.9979*10^8 m/s / (2.07*10^8 m/s / n)\\n = 2.9979*10^8 m/s * n / 2.07*10^8 m/s\)
n = 1.45
Therefore, the opal's index of refraction is 1.45.
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