The amount of torque can be calculated by Force x Moment arm.
How to calculate torqueIt should be noted that to uncover the quantity of torque, you must comprehend both the force applied and the separation from the pivot point (also referred to as the moment arm) at which the force is exerted. The formula for torque can be put forth as:
Torque = Force x Moment arm
The magnitude of force typically is disseminated in Newtons (N) and the length is relayed using meters (m), thus implying that the unit for torque is Newton-meters (Nm).
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You are researching a fungus that can kill banana plants. Which source is
likely to have the least reliable information?
A. An article in a popular science magazine
B. A press release about research on the fungus posted on the
website of a university
C. A posting about the fungus on a social media site
D. A report about the fungus on a nightly news show
Answer:
B
Explanation:
what could i say except ur welcome
In the drawing below, R1 has a resistance of 6.8 Ω and R2 has a resistance of 1.9-Ω. Determine the current (magnitude and direction) in the 6.8 and 1.9-Ω resistors in the drawing.
For the 6.8 Ω resistors, the voltage across it is V1 = 4.0 V, so the current through it is I1 = V1 / R1 = 4.0 V / 6.8 Ω = 0.588 A
For the 1.9 Ω resistors, the voltage across it is V2 = 12 V, so the current through it is:
I2 = V2 / R2 = 12 V / 1.9 Ω = 6.32 A, directed from the negative terminal of V2 to the positive terminal.
Therefore, the current in the 6.8 Ω resistor is 0.588 A directed from the positive terminal of V1 to the negative terminal, and the current in the 1.9 Ω resistor is 6.32 A directed from the negative terminal of V2 to the positive terminal.
What are resistors?Resistors are electronic components used in electrical circuits to provide a specific amount of resistance to the flow of electric current. They are designed to impede the current flow and reduce the amount of voltage flowing through a circuit.
What does a circuit consist of?An electrical circuit consists of a closed loop of conductive material through which electric current can flow. A circuit typically includes a power source, wires to connect the components, and various components such as resistors, capacitors, inductors, diodes, and transistors, among others.
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Plutonium-32 has a half-life of 14.2 days. After 99.4 days, how much of what was originally a 499.2 gram sample remains?
14 grams
3.9 grams
35.7 grams
0.71 grams
Answer:
3.9 gm remains
Explanation:
499.2 ( 1/2)^(99.4/14.2) = 3.9 gm
Which of the following careers is most likely to require business skills?
Systems Analyst
Hardware Engineer
Software Engineer
Database Administrator
Answer:
C. Software Engineer
What is the potential difference when the current in a circuit is 5mA and resistance is 30 Ohms
\( \sf• \: The \: current \: in \: a \: circuit \: is \: 5 \: amps. \: and \: resistance \: is \: 30 \: Ohms.\)
\( \\ \)
\(\bf{ \underline{To \: Find :- }}\)\( \sf{• \: The \: Potential \: Difference. }\)
\( \\ \)
\( \huge\bf{ \underline{ Solution:- }}\)
\( \sf According \: to \: the \: question, \)
\( \sf• \: Current \: (I) = 5 \: Amps.\)
\( \sf• \: Resistance \: (R) = 30 \: Ω\)
\( \sf{Potential \: difference \: means \: Voltage \: ( V).}\)
\( \sf{We \: know \: that, }\)
\( \bf \red{ \bigstar{ \: V = IR }}\)
\( \rightarrow \sf V =5 \times 30\)
\( \rightarrow \sf V =150\)
\( \\ \)
\( \sf \purple{Therefore, \: the \: potential \: difference \: is \: 150 \: v \: .}\)
A suspect isnleading the police on a car chase the officer reports that the suspect is traveling north at 100 miles per hour the officer has reported the suspects
Answer:
Velocity.
Explanation:
It is given that, the officer reports that the suspect is traveling north at 100 miles per hour. It means the suspect covers a distance of 100 miles every hour and moving in North direction.
It shows the velocity of the suspect. This is because his speed and direction are given. Velocity is a vector quantity.
So, the officer has reported the suspect's velocity.
Cindy roller skates with a constant
speed of 18 km/h. How long will she
take to travel a distance of 54
kilometres?
Answer:
3 hours
Explanation:
\((54 km)\frac{1 h}{18 km} = 3 h\)
Need
Help answering the questions
Will it be 200N? I am just making sure
Answer:I think it would be 0
Explanation:
Both are pushing with 100n therefore it will not move
Daylon's family just bought a new puppy, and Daylon decided to take him for a walk. He put the puppy in a wagon and pulled the wagon along the sidewalk. From which of these reference points does the puppy appear to be moving? 1. Daylon 2. The wagon 3. The sidewalk 4. The puppy's collar
The puppy was not moving relative to Daylon, the wagon, or his collar.
He was moving relative to a point on the sidewalk.
Note that the puppy did NOT get his walk.
What minimum volume must the slab have for a 51.0 kg woman to be able to stand on it without getting her feet wet
The minimum volume required for the slab is 0.051 cubic meters. This assumes that the weight of the woman is evenly distributed across the surface of the slab, and that the depth of the water is shallow enough that the woman's feet will not break the surface tension.
To determine the minimum volume required for the slab for the 51.0 kg woman to stand on it without getting her feet wet, we need to consider the density of the material that the slab is made of.
Assuming that the slab is made of a material with a density of 1000 kg/m³, we can calculate the minimum volume required using the following formula:
Volume = Mass / Density
In this case, the mass is 51.0 kg, and the density is 1000 kg/m³. Substituting these values into the formula, we get:
Volume = 51.0 kg / 1000 kg/m³ = 0.051 m³
Therefore, the minimum volume required for the slab is 0.051 cubic meters. This assumes that the weight of the woman is evenly distributed across the surface of the slab, and that the depth of the water is shallow enough that the woman's feet will not break the surface tension.
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proteins and biomolecules anatomy and physiology edapt drag the descriptions to the appropriate biomolecule class.
Carbohydrates: Organic compounds composed of carbon, hydrogen, and oxygen, often in a 1:2:1 ratio. They are a major source of energy and provide structural support.Lipids: Hydrophobic biomolecules that include fats, oils, and waxes. They are essential for energy storage, insulation, and forming cell membranes.
Carbohydrates are organic compounds that serve as a major source of energy and provide structural support. They include sugars, starches, and fibers.
Lipids are hydrophobic molecules that are essential for energy storage, insulation, and forming cell membranes. They include fats, oils, phospholipids, and steroids.
Proteins are complex biomolecules composed of amino acids. They play diverse roles in the body, including enzyme catalysis, structural support, transport of molecules, immune response, and cell signaling.
Nucleic acids are biomolecules responsible for storing and transmitting genetic information. DNA (deoxyribonucleic acid) stores genetic instructions, while RNA (ribonucleic acid) is involved in protein synthesis.
In summary, carbohydrates provide energy and structural support, lipids are involved in energy storage and membrane formation, proteins perform various functions in the body, and nucleic acids store and transmit genetic information.
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When you rub your feet on a carpet and then go to touch a door knob you may receive a shock! This is the result of millions of....moving in a
matter of seconds.
Answer:
I need points cri
Explanation:
Answer:
Electrons
Source:
https://kidshealth.org/en/kids/electric-shock.html#:~:text=When%20you%20touch%20a%20doorknob,quick%20movement%20of%20these%20electrons.
A light spring with force constant 3.70 N/m is compressed by 8.64 cm as it is held between a 0.261-kg block on the left and a 0.522-kg block on the right, both resting on a horizontal surface. The spring exerts a force on each block, tending to push them apart. The blocks are simultaneously released from rest. Find the acceleration with which each block starts to move, given that the coefficient of kinetic friction between each block and the surface is the following. (Let the coordinate system be positive to the right and negative to the left. Be sure to include the sign to indicate the direction of the acceleration.) (a) μ = 0 heavier block lighter block (b) μ = 0.110 heavier block lighter block (c) μ = 0.480 heavier block lighter block m/s² m/s² m/s² m/s² m/s² m/s²
The lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
(a) μ = 0
The heavier block will accelerate to the right with an acceleration of:
a = F / m = k x / m = (3.70 N/m) (0.0864 m) / 0.261 kg = 1.22 m/s²
The lighter block will also accelerate to the right with an acceleration of 1.22 m/s².
(b) μ = 0.110
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m) (0.0864 m) / 0.261 kg - (0.110)(0.261 kg)(9.80 m/s²) = 0.68 m/s²
The lighter block will not accelerate because the force of friction is greater than the force of the spring.
(c) μ = 0.480
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m)(0.0864 m) / 0.261 kg - (0.480)(0.261 kg) (9.80 m/s²) = -0.82 m/s²
Therefore, the lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
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Which material is a conductor?
A. chalk
B. lead
C. leather
D. paper
E. rubber
B. Lead is a conductor....
IF ITS RIGHT YOU WILL GET 5 STARS AND A BRAINLY WITH A LIKE
Answer:
DNA IS SMALLEST
NUCLEUS IS BIGGEST
PLEASE MARK BAiniRINIiEST
Solve the science problem
Plan an experiment to measure the ideal mechanical advantage of a three-hole punch. (a) What materials would you need? (b) What procedure would you use?
Answer:
A) Three hole punch and either a layered plastic or paper
B) Identify the lengths involved ,
Length of input arm / length of output arm = L1/ L2
Explanation:
a) Materials involved includes :
Three hole punch and either a layered plastic or paper
Identify the forces acting on the three-hole punch which are Input and output forces
Identify the points where they act
B) procedures involved
The mechanical advantage = output force / input force
step one: Identify the lengths involved
assuming no friction or relatively small friction \
mechanical advantage can be calculated as : Length of input arm / length of output arm = L1/ L2
Please helpp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Explain why "selectively permeable" is a good way to describe a cel
membrane.
\( \huge \mathsf \blue{Question}\)
Explain why "selectively permeable" is a good way to describe a cell membrane.
\( \huge \mathsf \blue {Answer}\)
The plasma membrane is called a selectively permeable membrane as it permits the movement of only certain molecules in and out of the cells. Not all molecules are free to diffuse. If plasma membrane ruptures or breaks down then molecules of some substances will freely move in and out of the cells.
As the plasma membrane acts as a mechanical barrier, the exchange of material from its surroundings through osmosis or diffusion in a cell won’t take place. Consequently, the cell would die due to the disappearance of the protoplasmic material. It allows hydrophobic molecules and small polar molecules diffuse through the lipid layer, but does not allow ions and large polar molecules cannot diffuse through the membrane.
Most of the Earth's volcanoes occur
A.
near the center of tectonic plates.
B.
where there are no tectonic plates.
C.
along tectonic plate boundaries.
D.
before tectonic plates can form.
Answer:
A.
Explanation:
NEAR THE CENTER OF TECTONIC PLATES.
Answer: C. along tectonic plate boundaries
Explanation:
Right on Study Island 2021
Ever shine a green laser at anyone, especially not at an airplane, since the pilots can see the beam. Some fool did this in 2002, and the F. B. I. Arrested him on domestic terrorism charges.
Suppose that a green laser shines light with λ = 5. 32 × 10−7 m. This light travels outward from the laser through a circular aperture that is 2. 50 mm in diameter. How many meters in diameter is the beam, at a jet airliner altitude of exactly 38,000 feet? (Recall that 1 foot = 0. 3048 m. )
At a jet airliner altitude of 38,000 feet, the diameter of the laser beam would be approximately 37.34 meters.
Beam divergence refers to the spreading out of a laser beam as it travels away from its source. The angle of divergence (θ) can be approximated using the formula:
θ = λ / (π * D)
Where:
θ is the angle of divergence,
λ is the wavelength of the laser light,
D is the diameter of the circular aperture.
First, let's calculate the angle of divergence using the given values:
θ = 5.32 × 10⁻⁷ m / (π * 1.25 × 10⁻³ m)
θ ≈ 0.135 radians
Now, we can calculate the diameter of the laser beam at the jet airliner altitude by using the tangent of the angle of divergence and the altitude:
Beam diameter = 2 * altitude * tan(θ)
Beam diameter = 2 * (38,000 × 0.3048 m) * tan(0.135 radians)
Beam diameter ≈ 37.34 meters
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You pull straight up on the string of a yo-yo with a force 0.19 N, and while your hand is moving up a distance 0.12 m, the yo-yo moves down a distance 0.30 m. The mass of the yo-yo is 0.058 kg, and it was initially moving downward with speed 3.4 m/s. (b) What is the new speed of the yo-yo
Answer:
2.54 m/s
Explanation:
By conservation of energy,
work done by force due to hand = mechanical energy gained by yo-yo
So Fd = mgh + 1/2m(v₂² - v₁²)
where F = force on string = 0.19 N, d = distance moved by hand = 0.12 m, m = mass of yo-yo = 0.058 kg, g = acceleration due to gravity = 9.8 m/s², h = distance moved by yo-yo = 0.30 m, v₁ = initial speed of yo-yo = 3.4 m/s and v₂ = final speed of yo-yo = unknown
So, Fd = mgh + 1/2m(v₂² - v₁²)
Fd/m = gh + 1/2(v₂² - v₁²)
Fd/m - gh = 1/2(v₂² - v₁²)
2(Fd/m - gh) = (v₂² - v₁²)
(v₂² - v₁²) = 2(Fd/m - gh)
v₂² = v₁² + 2(Fd/m - gh)
taking square-root of both sides, we have
v₂ = √[v₁² + 2(Fd/m - gh)]
Substituting the values of the variables into the equation, we have
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.0228 Nm/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.393 Nm/kg - 2.94 m²/s²)]
v₂ = √[(3.4 m/s)² + 2(-2.547 m²/s²)]
v₂ = √[11.56 m²/s² - 5.094 m²/s²)]
v₂ = √[6.466 m²/s²]
v₂ = 2.54 m/s
Gravitational force between two masses m, and m, is represented as F Gm₂ m₂ 7 where = xi+yj + zk and Irl=√√x² + y² + z² G,m,, m₂ are nonzero constants and let's assume that I 0 a) Calculate curl of and divergence of F (4 points) b) Show the integral ffdf is path independent and calculate following (4 points) (11) 우리가 일반물리 시간에 중력장을 이용한 포텐셜은 위치의 함수라는 걸 배운게 기억이 날겁니다. 이 문제는 사실 vector function 에 대한 문제인데 (9.10.11 단원), 우리가 배운 수학적 도구를 가지고 한번쯤 생각해볼 필요가 있어서 넣었습니다.
Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0
a) Calculation:For F = Gm₂ m₂ / r^2.
Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.
Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))
b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.
Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]
Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.
Let's choose the unit normal to the surface S as k (along the z-axis).
The curl of F is a vector field perpendicular to the plane and along the direction of k.
Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]
Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).
Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].
Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.
Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.
Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.
Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).
This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.
On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).
Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.
Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).
Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.
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matter and energy- how are they interrelated?
Any substance that possesses mass and volume is considered to be matter. In general, atoms and anything composed of them are considered to be "matter."
Energy is the power to effect change or carry out work.
The connection between energy and matter is determined by the speed of light, per the theory of relativity. E = M x C^2, where E is energy, M is mass, and C is the speed of light, describes how matter and energy are related.
Matter and Energy - How are they inter-related?
The variation in a body's mass is inversely proportional to the square of the speed of light and directly correlated with the amount of energy released during the conversion process. An energy conversion process can be carried out by a system using this kind of transformations, in which some of the body's intrinsic energy is converted into thermal energy or radiant light. Also implied by this process is a loss of mass. At the atomic level, the shift of mass is significant because it demonstrates that matter is not an immutable property of the body and that it may, in fact, "disappear," releasing energy to the outside.
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A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?
Explanation:
vertical force = 460,000 * sin(70) - 300,000
Fv = 187,717.75N
help i need to answer this question fast
Answer:
The reason you feel weightless is because there is no force pushing against you, since you are not in contact with anything. Gravity is pulling equally on all the particles in your body. This creates a sensation where no forces are acting on you and you feel weightless.
A carrot hangs from the ceiling by a rope,
What is the correct free body diagram for the carrot?
Answer: Diagram B
Explanation:
A free body diagram shows the forces acting on an object in a certain scenario.
In this scenario there are two forces acting on the carrot: the Tension force (Ft) from the rope that the carrot is hanging from and Gravitational force(Fg) which is pulling the carrot to the Earth.
The diagram depicting this is diagram B.
Answer:
ft and fg
Explanation:
energy is the energy an object has because it is in motion. *
The energy an object has due to its motion is called kinetic energy.
What happens when stress builds up at faults?
A. Energy is absorbed
B. Rock can bend and break
C. Plates form on the lithosphere
D. earthquakes develop at earths surface
Answer:
The answer is D because when the faults move that is the tectonic plates moving. So earth quakes will be forming when the fault moves.
Explanation: