The direction of the torque is along the positive y-axis since the torque vector is <0, 54, 0>.
The magnitude and the direction of the torque about the origin on a plum located at coordinates (-4 m, 0 m, 6 m) due to the force F with a component Fx = 9 N can be calculated by using the torque formula:
Torque = r x F
where r is the position vector of the plum and F is the force vector. In this case, r = <-4, 0, 6> and F = <9, 0, 0>.
To find the torque, we can use the cross-product of the two vectors:
Torque = <-4, 0, 6> x <9, 0, 0>
Torque = <0, (6)(9), 0> = <0, 54, 0>
The magnitude of the torque is the length of the torque vector:
Magnitude = sqrt((0)^2 + (54)^2 + (0)^2) = 54 Nm
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A lamp uses a standard 9 V battery, How much resistance is in the circuit is in the current of 1.05 A?
Answer:
R= v/I
R= 9/1.05=8.5714 ohms
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Identify the structure that separates the nuclear contents from the cytoplasm.
Answer:nuclear membrane
Explanation:
Answer:
Nuclear envelope. Hope this helps.
which of the following best represents force?
1-a push or a pull acting on a object.
2-a push or a pull always causing acceleration.
3-a push or a pull action without an object.
4-a push or a pull always causing motion
Answer:
1 -a push or a pull acting on a object.
Explanation:
force is a push or pull acting upon an object as a result of its interaction with another object.
Which type of energy is stored in an elastic material stretched by a force
Potential energy is stored in the elastic material when we stretch it by some distance.
The energy stored when a force is used to deform an elastic object is called elastic potential energy. The energy is conserved until the force is released and the object returns to its original shape, doing work in the process. Objects can be compressed, stretched, or twisted when deformed.
Elastic material produces elasticity when stretched or compressed. The more the material is crushed or stretched, the greater this force.
Springs have many applications, including bed springs.
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This box plot shows the distribution of wind speeds measured near an oil rig.Work out the value that completes the statement below.
50% of the speeds are between 36 km/h and… km/h
The value that completes the box plot distribution of wind speed statement is 48 km/h.
How to calculate the second speed?To determine the value that completes the statement, locate the median, which represents the 50th percentile. From the plot, the median (50th percentile) is at approximately 42 km/h.
The box extends from the first quartile (25th percentile) to the third quartile (75th percentile), so determine the range of speeds that contains 50% of the measurements by finding the difference between the median and the first quartile, and then adding it to the median.
The plot estimates that the difference between the median and the first quartile is approximately 6 km/h. Therefore, 50% of the speeds are between 36 km/h and (42 + 6) km/h, which simplifies to 36 km/h and 48 km/h.
So the value that completes the statement is 48 km/h.
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HELP NOWWWWW PLEASE
Which of the following materials is most efficient at transferring vibrations?
a) water
b) air
c) pillow
d) steel rod
Answer:it is A
Explanation:
ok
Everything in life is what you need to know
Answer:
ok
Explanation:
Answer:
True✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨
consider two surfaces pressed against each other. now the air at the interface is evacuated. will the thermal contact resistance at the interface increase or decrease as a result? why?
Yes, the thermal contact resistance at the interface will decrease as a result of the evacuation of air at the interface.
This is because the presence of air creates a barrier between the two surfaces that prevents efficient heat transfer. When the air is evacuated, the surfaces are able to make better contact and heat transfer between them becomes more efficient. Therefore, the thermal contact resistance decreases.
In mathematical terms, the thermal contact resistance (Rc) can be expressed as:
Where hc is the thermal contact conductance and A is the contact area.
When the air is evacuated, the thermal contact conductance (hc) increases, which leads to a decrease in the thermal contact resistance (Rc). So, in conclusion, the evacuation of air at the interface between two surfaces leads to a decrease in thermal contact resistance and an increase in thermal contact conductance, allowing for more efficient heat transfer between the surfaces.
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Absolutely, as a result of the air evacuation at the interface, the thermal contact resistance will decrease. This is because air between the two surfaces produces a barrier that obstructs effective heat transfer.
The surfaces may make better touch with one another and transmit heat more effectively when the air is evacuated. The thermal contact resistance consequently drops. Rc = 1/ (hcA), where hc is the thermal contact conductance and A is the contact area, is the mathematical formula for the thermal contact resistance (Rc).
Rc = 1/ (hcA)
The thermal contact resistance decreases when the air is expelled, which causes the thermal contact conductance (hc) to rise (Rc). In conclusion, it can be said that the evacuation of air at the boundary between two surfaces results in a reduction in thermal contact resistance and an increase in thermal contact conductance, enabling more effective heat transmission between the surfaces.
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Jennifer, who has a mass of 50.0 kg, is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the air bag, that brings her body to a stop in 0.500 s. What average force does the seat belt exert on her
Answer:
Average force = 3.5 kN
Explanation:
Given:
Mass of Jennifer (m) = 50 kg
Initial velocity = 35 m/s
Time taken to stop body = 0.5 s
Find:
Average force
Computation:
v = u + at
0 = 35 + a(0.5)
Acceleration (a) = - 70 m/s² = 70 m/s²
Average force = ma
Average force = (50(70)
Average force = 3500 N
Average force = 3.5 kN
If a person displaces a mass of
60kg through 300 metres in 1
Minute, what is the power?
?
Answer:
Power = 2940 Watts
Explanation:
Given the following data;
Mass = 60 kg
Height = 300 meters
Time = 1 minutes = 60 seconds
To find the power;
First of all, we would determine the potential energy possessed by the person due to height.
We know that acceleration due to gravity is equal to 9.8 m/s².
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the formula, we have;
P.E = 60 * 9.8 * 300
P.E = 176400
Next, we find the power using the following formula;
Power = energy/time
Power = 176400/60
Power = 2940 Watts
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How do spores grow into an adult plant?
The cells in the spores start to differentiate into different cells once it is planted in the ground.
The cells in the spores grow into different cells through photosynthesis.
Cells in the spores start to grow through the process of cellular reproduction.
Cells in the spores go through the process of mitosis.
Answer:
The cells in the spores start differentiate into different cells once it is on the ground
Alcohol is being heated on the stove and distillates at 172.4⁰F . What is this temperature on the Celsius degree?
Answer: The head temperature rises as the vapors of lower-boiling compound fill the distillation head. The temperature drops because the lower-boiling compound finishes distilling before vapors of the higher-boiling compound can fill the distillation head, which then cause the head temperature to rise.
a disc starts from rest with an angular acceleration completes 10 revolutions in 2 seconds. the time taken by it to complete 10 more revolution from that instant is
Starting from rest, the disc completes \(\theta\) revolutions after \(t\) seconds according to
\(\theta=\dfrac\alpha2t^2\)
with angular acceleration \(\alpha\). It completes 10 rev in 2 s, which means
\(10\,\mathrm{rev}=\dfrac\alpha2(2\,\mathrm s)^2\implies\alpha=5\dfrac{\rm rev}{\mathrm s^2}\)
Find the time it takes to complete 20 rev with this acceleration:
\(20\,\mathrm{rev}=\dfrac12\left(5\dfrac{\rm rev}{\mathrm s^2}\right)t^2\implies t=\sqrt8\,\mathrm s\approx2.83\,\mathrm s\)
so it takes approximately 0.83 s to complete 10 more rev.
The half life of
40
K is approximately 1.3 billion years, and it decays to
40
Ar, which is trapped in igneous rocks as
40
K decays. If we find a sample of granite in which the ratio of
40
Ar/
40
K is 3/1, then how old is the sample?
The half-life of 40K is approximately 1.3 billion years. Given a ratio of 40Ar/40K as 3/1 in a granite sample, we can estimate the age of the sample by understanding the decay process. Based on the given 40Ar/40K ratio, the age of the sample is approximately 650 million years.
Since the half-life of 40K is 1.3 billion years, this means that after each half-life, half of the 40K atoms will have decayed into 40Ar. Therefore, if the ratio of 40Ar/40K is 3/1, it suggests that three-quarters (or 75%) of the original 40K atoms have decayed into 40Ar.
To determine the age, we can calculate the number of half-lives that have occurred based on the remaining 25% of 40K. Since each half-life is 1.3 billion years, dividing the remaining 25% by 50% (half) gives us 0.5. Thus, the sample has undergone 0.5 half-lives.
Multiplying 0.5 by the half-life of 1.3 billion years gives us an estimated age of 0.65 billion years, or 650 million years, for the granite sample.
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An object is travelling at a velocity of 5m/s to the right for 5 seconds. If NO forces are applied to the object, what will the velocity of the object be after 5 seconds.
Answer:
Below
Explanation:
We can use this formula to find the final velocity of the object :
vf = vi + at
Now, because no force is applied to the object, the acceleration of this object will be 0 according to Newton's 1st law!
vf = 5m/s + (0)(5)
vf = 5 m/s
Hope this helps!
A vehicle travels for 20 minutes at a speed of 60 km/h. It then travels for 10 minutes at 90 km/h. At
the end of 30 minutes, it covers a distance of Select... v km.
Answer:
120km
Explanation:
it will covered 120km
Does the law of conservation of energy apply to open systems? Explain.
No, law of conservation of energy is not applicable to open systems.
Law of conservation of energy states that energy present anywhere can neither be created nor be destroyed by any means, it can only be converted from one form of energy to other form of energy. It means total energy of an isolated system remains same.
An open system is a system that can exchange energy and matter from the surroundings. The flow of energy takes places in an open system. Therefore, the law of conservation does not apply to an open system as it can lose or gain energy, hence its total energy will not be constant and will violate law of conservation of energy.
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a 60.-kilogram man is pushing a 30.-kilogram lawn mower. compared to the magnitude of the force exerted on the lawn mower by the man, the magnitude of the force exerted on the man by the lawn mower is
The lawn mover is exerting a force of 30 N on the man.
Given, a man weighing 60 kg is moving a 30 kg lawnmower.
Thus, the lawnmower's force is calculated as 30N - 60N = -30N.
A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.
Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.
The direction of the force is referred to as the force's direction, and the application of force is the point at which the force is applied.
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Fill in the blank. Bones fitted together in the shape of a give the human body structure.
Answer:
skeletal system
Explanation:
hope its the right answer:))
Answer:
top
Explanation:
A bomb initially at rest on a smooth horizontal surface is exploded into three pieces. Two pieces fly off horizontally at a 60 degrees angle to each other, a 2. 0 kg piece at 20m/s and a 3. 0 kg piece at 12m/s. The third piece flies off horizontally at 30m/s. Determine the direction of motion of the third piece
The third piece of the bomb flies off horizontally in the direction opposite to the vector sum of the velocities of the other two pieces.
To determine the direction of motion of the third piece, we need to calculate the vector sum of the velocities of the first two pieces. Let's break down the given velocities into their x and y components.
Piece 1: Velocity = 20 m/s at 60 degrees
Piece 2: Velocity = 12 m/s at 120 degrees
Using trigonometry, we can find the x and y components of the velocities:
Piece 1:
\(V1x = 20 m/s * cos(60) = 10 m/sV1y = 20 m/s * sin(60) = 17.32 m/s\)
Piece 2:
\(V2x = 12 m/s * cos(120) = -6 m/sV2y = 12 m/s * sin(120) = 10.39 m/s\)
Now, we can find the vector sum of the x and y components:
\(Vx = V1x + V2x = 10 m/s + (-6 m/s) = 4 m/sVy = V1y + V2y = 17.32 m/s + 10.39 m/s = 27.71 m/s\)
Finally, we can find the magnitude and direction of the resulting velocity:
\(V = sqrt(Vx^2 + Vy^2) = sqrt((4 m/s)^2 + (27.71 m/s)^2) ≈ 27.99 m/s\)
The direction of motion of the third piece is opposite to this resulting velocity, so it will be approximately 180 degrees.
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Parker (73.2 kg) is being dragged down the hall with an applied force of 123 N. If the frictional force is 27.4 N, what is the coefficient of friction in the hall?
Answer:
The coefficient of friction in the hall is 0.038
Explanation:
Given;
mass of the Parker, m = 73.2 kg
applied force on the parker, F = 123 N
frictional force, Fs = 27.4 N
the coefficient of friction in the hall = ?
frictional force is given by;
Fs = μN
Where;
μ is the coefficient of friction
N is normal reaction = mg
Fs = μmg
μ = Fs / mg
μ = (27.4) / (73.2 x 9.8)
μ = 0.038
Therefore, the coefficient of friction in the hall is 0.038
calculate the power of an engine which can supply 60kg of energy per minute
Answer:
1 Watt
Explanation:
Power (P) = w / Δt
w = work done
Δt = change in time
Power (P) = 60kg / 60 seconds
Power (P) = 1 Watt
Simulate a blackbody spectrum of temperature 900 Kelvin. Determine the peak wavelength in nanometers of an object of that temperature nanometers What is the emissive intensity of the object (the amount of power emitted per unit area )? ×10 W/m 2
A blackbody spectrum of temperature 900 Kelvin has been simulated. The peak wavelength in nanometers of an object of that temperature is determined to be nanometers. The intensity of the blackbody radiation at a given temperature and wavelength can be determined using Planck's law.
Planck's law, which describes the intensity of blackbody radiation, is given byI(λ) = 2hc²λ⁻⁵[exp(hc/λkT) - 1]⁻¹Where c = speed of light, h = Planck's constant, k = Boltzmann constant, T = temperatureλ = wavelength of lightI (λ) = spectral radiant intensity expressed in watts per square metre per unit wavelength.
Simulating the blackbody spectrum for a temperature of 900 K:
Using the equation for peak wavelength λ_max = 2897/T nm, where T = 900 KTherefore,λ_max = 2897/900λ_max = 3.22 µm or 3220 nm.
The emissive intensity of the object (the amount of power emitted per unit area) is given asI = σT⁴, where σ is the Stefan-Boltzmann constant.
Therefore,I = σT⁴ = 5.67 × 10⁻⁸ × (900)⁴W/m²= ×10 W/m².
Hence, the emissive intensity of the object is ×10 W/m².
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energy conservation of radio
The functioning of a radio obeys the energy conservation principle, the energy is conserved throughout the process of transmitting sound waves.
Radio is a device that receives and broadcasts electromagnetic waves in the radio frequency (RF) range. The energy conservation principle states that energy can neither be created nor destroyed, but it can be converted from one form to another. This principle applies to the functioning of a radio, where the energy is conserved throughout the process.
When a radio receives a signal, it converts the electromagnetic wave energy into an electrical signal using an antenna. The electrical signal is then amplified and demodulated to extract the original audio signal. The audio signal is then amplified again and played through a speaker, where the electrical energy is converted into sound energy. The energy that was originally present in the electromagnetic wave is conserved throughout this process and is not lost.
Similarly, when a radio broadcasts a signal, the audio signal is first converted into an electrical signal, which is then amplified and used to modulate an RF carrier wave. The modulated RF wave is then transmitted through an antenna as electromagnetic waves. The electrical energy from the audio signal is conserved and transformed into electromagnetic energy in the transmitted signal.
In both cases, the energy conservation principle is applied, and the energy is conserved throughout the process. Therefore, the functioning of a radio obeys the energy conservation principle.
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which statement is wrong concerning the two tails of a comet? a. they are ion tail and dust tail. b. they are perpendicular to each other. c. dust tail is more massive than ion tail. d. they all pointing away from the sun.
The statement that is wrong concerning the two tails of a comet is "they are perpendicular to each other." Two tails of a comet can't be perpendicular to each other.
Comets are celestial bodies that circle around the sun, originating from the Kuiper Belt and Oort Cloud. Comets are believed to be made up of ice, rock, and dust, and they can range in size from a few meters to tens of kilometers in diameter. Comets typically consist of two tails: a gas or plasma tail and a dust tail. Two tails of a comet. The two tails of a comet are made up of gas, plasma, and dust. They all point in opposite directions from the comet's nucleus, or core, as it travels through space. The dust tail of a comet is more massive than its ion tail, which is made up of electrically charged particles that are affected by the sun's magnetic field. Both tails of a comet are not perpendicular to each other because they are pointing in opposite directions. A gas tail may be tens or hundreds of thousands of kilometers long. It consists of highly volatile molecules such as water and carbon dioxide that have been energized by the sun's ultraviolet radiation. As they lose energy, the molecules release the energy in the form of light, which is what makes the gas tail visible. A dust tail, on the other hand, consists of tiny grains of rock and dust that have been kicked off the surface of the comet. It's typically much shorter than the gas tail, but it can be much brighter.
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In a first-order electrical circuit, containing Resistor-Capacitor (RC), or Resistor-Inductor (RL) components, the transients will be _____________. (complete the sentence using one of the options listed below)
In both cases, the transients are exponential in nature, and their time constants are determined by the component values in the circuit.
In a first-order electrical circuit containing Resistor-Capacitor (RC) or Resistor-Inductor (RL) components, the transients will be exponential.
For an RC circuit, the transient response can be described as the charging or discharging of the capacitor. When charging, the voltage across the capacitor increases exponentially from 0V to its final steady-state value, while during discharging, the voltage decreases exponentially from its initial value to 0V. The time constant for an RC circuit is given by τ = RC, where R is the resistance, and C is the capacitance.
For an RL circuit, the transient response is observed in the current flowing through the inductor. When an RL circuit is connected to a voltage source, the current through the inductor increases exponentially from 0A to its final steady-state value. When the voltage source is disconnected, the current decreases exponentially from its initial value to 0A. The time constant for an RL circuit is given by τ = L/R, where L is the inductance, and R is the resistance.
In both cases, the transients are exponential in nature, and their time constants are determined by the component values in the circuit.
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How many cats are at shelter if each pen holds 10 cats and there are 56 pens?
Answer:
560
Explanation:
56*10=560
hope this helps :3
if it did pls mark brainliest
Answer: 560 cats
Explanation: 56x10 = 560.
A model airplane is flying horizontally due south at 42 mi/hr when it encounters a horizontal crosswind blowing west at 42 mi/hr and a downdraft blowing vertically downward at 21 mi/hr. a. Find the position vector that represents the velocity of the plane relative to the ground. b. Find the speed of the plane relative to the ground. a. Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane relative to the air, the crosswind, and the downdraft. Find the vectors representing the velocity of the plane relative to the air v_a, the velocity of the horizontal crosswind v_w, and the velocity of the vertical downdraft v_d. v_a = () i () j + () k v_w = () i () j + () k v_d = () i + () j + () k The position vector of the velocity relative to the ground is ()i + ()j + ()k. b. The speed of the plane relative to the ground is
The speed of the plane relative to the ground is approximately 63.25 mi/hr, the position vector is v_g = (-42)i + (-42)j + (-21)k.
To find the position vector representing the velocity of the plane relative to the ground, we need to consider the vectors representing the velocity of the plane relative to the air (v_a), the velocity of the horizontal crosswind (v_w), and the velocity of the vertical downdraft (v_d).
Given:
Velocity of the plane relative to the air: v_a = 42 mi/hr south
Velocity of the horizontal crosswind: v_w = 42 mi/hr west
Velocity of the vertical downdraft: v_d = 21 mi/hr downward
The position vector representing the velocity of the plane relative to the ground is obtained by adding these vectors together:
v_ground = v_a + v_w + v_d.
v_g = (0 - 42 + 0)i + (-42 + 0 + 0)j + (0 + 0 - 21)k
v_g = (-42)i + (-42)j + (-21)k
b. To find the speed of the plane relative to the ground, we compute the magnitude of the vector v_g:
|v_g| = √((-42)^2 + (-42)^2 + (-21)^2)
|v_g| ≈ 63.25 mi/hr
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1 point
9. A 70 kg diver drops from a board 10 m above the water's surface.
Neglect air resistance. What is the diver's Kinetic Energy just before he hits
the water? Show work. NO work shown, NO credit. *
10.0 m
KE;= 0
PE;= mgyi
5.00 m
m
KE, = mv
PE, = 0
0
Your answer
The kinetic energy of the diver just before he hits the ground is 6860 J.
Kinetic energy can be defined as the energy of a body due to its motion.
Note: Just before the diver hits the ground, the potential energy is converted into kinetic energy.
Formula:P.E(Potential energy) = K.E(Kinetic energy)K.E = mgh..................... Equation 1Where:
m = mass of the diverh = height of the boardg = acceleration due to gravity.From the question,
Given:
m = 70 kgh = 10 mg = acceleration due to gravity.Substitute these values into equation 1
K.E = 70×10×9.8K.E = 6860 JHence, The kinetic energy of the diver just before he hits the ground is 6860 J.
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Physics, Engineering, and Industrial Research, Earth and Space Sciences, and Mathematics - emphasizing degrees, licenses, and employment opportunities, review of RA 9184 (procurement act)
Physics, Engineering, and Industrial Research, Earth and Space Sciences, and Mathematics are the different areas that can be pursued in the Philippines. Bachelor's, Master's, and Ph.D. degrees are available in these fields.
Engineering is a regulated profession in the Philippines that requires licensure examination for professionals to work in the industry. In contrast, Mathematics and Physics have no licensing requirements.
Employment opportunities vary according to field and degree, with engineers, mathematicians, and physicists being in high demand in research and development, manufacturing, and construction.
RA 9184 is the Philippine government's procurement act that aims to provide clear guidelines and procedures for procurement activities in the public sector. It defines the roles and responsibilities of procurement personnel, specifies the procurement process and requirements, and establishes the accountability mechanisms for public procurement.
In conclusion, obtaining a degree in Physics, Engineering, and Industrial Research, Earth and Space Sciences, or Mathematics can lead to various employment opportunities.
While Engineering is a regulated profession in the Philippines, Mathematics and Physics do not require licensure exams. Additionally, the government has set specific guidelines for procurement activities in the public sector through RA 9184.
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