To find the minimal force needed to lift the box, it is necessary to use the formula for the force of friction. The minimal force needed is equal to the force of gravity acting on the box plus the force of friction.
As per the given sketch, the situation is depicted in the diagram below: Here, the direction of the force is upward, and the direction of the force of gravity is downward.
F = ma is the formula used to calculate the force. It's possible to rearrange this formula to solve for the force. This formula is rewritten as:F = m(g + a) where F is force, m is the mass of the box, g is the acceleration due to gravity, and a is the acceleration.
The force of friction in the system is equal to the force of gravity on the intermediate box.
The intermediate box will remain motionless as long as the tension on both sides of the rope is equal to one another, as there is no friction in the system. So, the total force required to lift the box is given by the following equation:F = m1g + m2gHere, the force required to lift the box is dependent on two factors: the force of gravity acting on the box and the force of friction acting on the intermediate box.
Thus, the minimal force is given by:Fmin = m1g + m2gExplanation:In order to lift a box with inertia m1, a student pulls on a rope. The rope goes around two pulleys, and an additional box is placed on a frictionless surface between the two pulleys, as shown in the illustration. To find the minimal force required to lift the box, one must use the formula for the force of friction.
The minimal force required is equal to the force of gravity acting on the box plus the force of friction. As per the given sketch, the direction of the force is upward, and the direction of the force of gravity is downward.So, the total force required to lift the box is given by the following equation:F = m1g + m2gHere, the force required to lift the box is dependent on two factors: the force of gravity acting on the box and the force of friction acting on the intermediate box. Thus, the minimal force is given by:Fmin = m1g + m2g
Summary:To summarize, the force required to lift the box is dependent on two factors: the force of gravity acting on the box and the force of friction acting on the intermediate box. Thus, the minimal force is given by Fmin = m1g + m2g.
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What voltage would produce a current of 100amps through an aluminum wire assuming that the re sistance of the wire is3.44×10-4 ohm
a light-emitting diode (led) connected to a 3.0 v power supply emits 440 nm blue light. the current in the led is 21 ma , and the led is 71 % efficient at converting electric power input into light power output. part a how many photons per second does the led emit? express your answer as the number of the photons.
The LED is found to be emitting approximately 2.03 x 10¹⁶ photons per second.
The energy of a single photon of 440 nm light is given by,
E = hc/λ, Planck's constant is h, speed of light is c, and the wavelength of the light λ. Plugging in the given values:
E = (6.626 x 10⁻³⁴ J s)(2.998 x 10⁸ m/s)/(440 x 10⁻⁹ m)
= 4.51 x 10⁻¹⁹ J
The power input to the LED is given by,
P = IV = (21 x 10⁻³ A)(3.0 V)
= 63 x 10⁻³ W
Since the LED is 71% efficient, the power output in the form of light is,
P_out = 0.71(63 x 10⁻³ W)
= 44.73 x 10⁻³ W
n = P_out / E
= (44.73 x 10⁻³ W) / (4.51 x 10⁻¹⁹ J/photon)
= 9.92 x 10¹⁵ photons/s.
This is the number of photons emitted per second per one side of the LED.
n_total = 2(9.92 x 10¹⁵ photons/s)
= 1.98 x 10¹⁶ photons/s
Therefore, the LED emits approximately 2.03 x 10¹⁶ photons per second.
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What leads astronomers to conclude that the protogalactic cloud (the cloud from which our galaxy formed) was roughly spherical?
The oldest stars in the Galaxy (Population II stars, globular clusters) form a spherical halo around the Galaxy which leads astronomers to conclude that the protogalactic cloud (the cloud from which our galaxy formed) was roughly spherical.
Protogalactic cloud can be defined as, a protogalaxy, which could also be called a "primeval galaxy", is a cloud of gas which is forming into a galaxy.
A protogalactic cloud with very little angular momentum is more likely to form an elliptical galaxy (spherical) than a spiral galaxy.
The higher gas density forms stars more efficiently, so all the gas is converted into stars before a disk can form. This is why a dense cloud can more likely to produce an spherical galaxy.
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a convex mirror has a focal length of -12 cm. a lightbulb with diameter of 6 cm is placed 60 cm from the mirror
Here the focal length of the convex mirror as -12 cm, a light bulb with a diameter of 6 cm is placed 60 cm from the mirror. Hence, the image distance is -60 cm, and the image height is 6 cm.
To find the image distance and height, we will use the mirror formula for a convex mirror, which is given as follows;1/f = 1/v + 1/u. Where, f = focal length of the convex mirror;
v = the image distance;
u = the object distance
If the object distance is positive, it means the object is placed in front of the mirror, and if it is negative, it means the object is placed behind the mirror. The focal length of a convex mirror is always negative, as given above.
Therefore, u = -60 cm and f = -12 cm.
Plugging in the values in the mirror formula, we get:1/-12 = 1/v + 1/-60=> -5/60 = 1/v - (1/60) => -5/60 = (60 - v)/60=> v = -300/5= -60 cm
The image distance is -60 cm, which means the image is virtual and erect. The negative sign indicates that the image is formed behind the mirror.
To find the image height, we use the magnification formula:
m = -v/u= -(-60)/(-60)= 1
The magnification is 1, which means the image is of the same size as the object. The height of the light bulb is 6 cm, so the height of the image will also be 6 cm.
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Suppose an adult blue whale is stranded on a beach. The whale, which lies parallel to the shore, is 15 m from water deep enough for it to swim away in. A group of people line up along the side of the whale to push it back into the ocean. If the whale’s weight is 1. 5 × 10 6 N, and the force of friction that must be overcome by the people is 0. 25 times the whale’s weight, how much work must the people do on the whale in order to return it to the ocean?
Answer:
W = F x work done by force F thru distance X
F = w + .25 w = 1.25 w where w is the weight of the whale
x = 15 m distance the whale must be pushed
W = 1.25 w * x
W = 1.25 * 1.5E6 N * 15 m = 18.75E6 N * 15 m = 2.81E7 joules
Work done people on the whale in order to return it to the ocean is 5.625 ×10⁶ Joule.
What is friction?The resistance provided by surfaces in touch as they move past one another is known as friction. To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move.
Given parameter:
Weight of the whale, W = 1.5×10⁶ N.
The people push it back a distance, d = 15 m.
Coefficient of friction on the surface, μ = 0.25.
The work done by the people on the whale in order to return it to the ocean is equal to work done against the friction. As, No work is done against gravitation on moving a object on the surface of earth,
Frictional force acting on the whale,
F= μ× normal reaction
= μ× weight of the whale
= 0.25 × 1.5× 10⁶ N.
= 3.75 ×10⁵ N.
Hence, work done by the people = F.d = 3.75 ×10⁵ × 15 Joule
= 5.625 ×10⁶ Joule.
Hence, people have to do 5.625 ×10⁶ Joule work.
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Aristotle supported which of these views?
A. The Sun and all the planets revolve around Earth.
B. The speed of a free-falling object is independent of its weight.
C. Earth and other planets revolve around the Sun.
D. Every action has an equal and opposite reaction.
E. The fifth element, ether, does not exist in heavenly bodies.
(PLEASE HELP ME)
Answer:
I am pretty sure that it is A. The Sun and all the planets revolve around Earth. Hope this helps!!!!!
Explanation:
Which of the following is qualitative information?A.20 degreesB.15 gramsC.25 secondsD.Blue sky
From the given list, let's determine the given qualitative information.
Qualitative data can be said to be data that are represented without determining a value.
This type of data are uncountable.
It is data that can be observable in nature and they cannot be measured.
From the given list, the qualitative data is blue sky.
Other information given are that of quantitative data because they are measured values.
Therefore, the qualitative information is blue sky.
ANSWER:
D. Blue sky
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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When a person walks on a tile, a potential difference of 40 V is induced across the tile.
The power output of the tile is 4.4 W.
Calculate the current in the tile.
[3 marks]
The current in the tile is 0.11 ampere.
What is electric current?The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Due to not following vector law of addition, current is a scalar quantity.
Given parameters:
Potential difference: V = 40 V.
The power output: P = 4.4 W.
We have to find, the current in the tile; I =?
We know that, power output = current × Potential difference
So, the current in the tile = power output /Potential difference
= 4.4/40 ampere.
= 0.11 ampere.
Hence the current in the tile is 0.11 ampere.
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If the starting population of 5 rabbits grows at 200% each year, how many will there be 50 years?
Answer:
Alot of god dam rabbits
Explanation:
Answer:
million rabbits becauseeverything
pls help
will give the brainliest!
Explanation:
longitudinal wave .
they are composed of rarefaction and compression
there is change of pressure variations through medium
there is change in density throughout the medium
they can be propagated in liquid soild and gasses
example sound wave
transverse wave
they are composed of troughs and Crest
there is no pressure variations throughout the medium
there is no change in density
they can propagated in liquid soild but not gases
example light wave
A go-cart is rolling down a hill at 15m/s. If it has 85J of kinetic energy. what is the mass of the go-cart?
0.76kg
0.87kg
5.67kg
0.18kg
What conversion takes place in a motor?
O A. An electric current into a magnetic field
B. A lower voltage into a higher voltage
O C. Mechanical energy into electric energy
O D. Electric energy into mechanical energy
Answer:
D. Electric energy into mechanical energy
Explanation:
hope it helps
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A roller coaster starts from rest at its highest point and then descends on its (frictionless) track. Its speed is 20 m/s when it reaches ground level. What was its speed when its height was half that of its starting point
Answer:
Approximately \(14\; {\rm m\cdot s^{-1}}\).
Explanation:
The gravitational potential energy \(\text{GPE}\) of this roller coaster is proportional to the height \(h\) of the roller coaster.
The kinetic energy \(\text{KE}\) of this roller coaster is proportional to the square of speed \(v\).
The question states that the track is frictionless. Thus, during the descent, the \(\text{GPE}\) of this roller coaster is turned into \(\text{KE}\) without any energy loss.
When the roller coaster was at \((1/2)\) of the the initial height, only\(1 - (1/2) = (1/2)\) of the original \(\text{GPE}\) was turned into \(\text{KE}\). The \(\text{KE}\!\) of this roller coaster at that height would be \(1 - (1/2) = (1/2)\!\) of the \(\text{KE}\!\!\) when the roller coaster is at the ground level.
The \(\text{KE}\) of the roller coaster is proportional to \(v^{2}\) (the square of speed \(v\).) Thus, since the \(\text{KE}\!\) at \((1/2)\) the initial height is \(1 - (1/2) = (1/2)\!\) the \(\text{KE}\!\!\) at the ground level, the \(v^{2}\) at \((1/2)\!\) the initial height would also be \(1 - (1/2) = (1/2)\!\) the \(v^{2}\!\) at the ground level.
Since \(v = 20\; {\rm m\cdot s^{-1}}\) at the ground level, \(v^{2} = (20\; {\rm m\cdot s^{-1}})^{2}\) at the ground level. The \(v^{2}\) at \((1/2)\) the initial height would then be:
\((1 - (1/2))\times (20\; {\rm m\cdot s^{-1}})^{2}\).
Thus, the speed \(v\) at \((1/2)\) the initial height would be:
\(\begin{aligned}& \sqrt{(1 - (1/2))\times (20\; {\rm m\cdot s^{-1}})^{2}} \\ =\; & \sqrt{\frac{1}{2} \times (20\; {\rm m\cdot s^{-1}})^{2}} \\ =\; & \sqrt{200}\; {\rm m\cdot s^{-1}} \\ \approx\; & 14\; {\rm m\cdot s^{-1}}\end{aligned}\).
The kinetic energy of an object is increased by a factor of 4.By what factor is the magnitude of its momentum changed
Momentum is increased by a factor of 2.
The momentum of an object is defined as the product of its mass and velocity.
Therefore, the magnitude of its momentum is directly proportional to the speed of the object.
When the kinetic energy of an object is increased by a factor of 4, its speed must also increase.
The relationship between kinetic energy and speed is given by the equation KE = 1/2\(mv^2\), where m is the mass of the object and v is its velocity.
Doubling the speed of the object would result in an increase in kinetic energy by a factor of 4.
Therefore, the magnitude of its momentum would also increase by a factor of 2.
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What would be the synchronous speed of a 24-pole three-phase synchronous motor operating at 20 Hz
The synchronous speed of the motor would be 100 RPM.
To calculate the synchronous speed of a 24-pole three-phase synchronous motor operating at 20 Hz, you can use the following formula:
Synchronous Speed (Ns) = (120 * Frequency) / Number of Poles
By plugging in the given values:
Ns = (120 * 20 Hz) / 24 poles
Ns = 2400 / 24
Ns = 100 RPM
So, the synchronous speed of the motor would be 100 RPM.
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what will happen if you increse the amplitude of a drum hit
The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases. As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder.
Mg^12 O^8
-write down the electron structure
-Draw the atom
-write the molecule formula of the compound and give its name!
Answer:
Writing Electron Configurations. When writing an electron configuration, first write the energy level (the period), then the subshell to be filled and the superscript, which is the number of electrons in that subshell. The total number of electrons is the atomic number, Z
A 30-g car rolls from a hill 12 cm high and is traveling at 154 cm/s as it travels along a 275 cm horizontal track. What is the momentum of the car?.
The momentum of the car, given the data d from the question is 0.0462 Kg.m/s
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
With the above formula, we can determine the momentum of the car. Details below
How to determine the momentum of the carThe momentum of the car can be on rained as follow:
Mass of car = 30 g = 30 / 1000 = 0.03 KgVelocity of car = 154 cm/s = 154 / 100 = 1.54 m/sMomentum of car = ?Momentum = mass × velocity
Momentum of car = 0.03 × 1.54
Momentum of car = 0.0462 Kg.m/s
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applying newton's second law gives the equation ma = f
Newton's Second Law of Motion states that the net force acting on an object is directly proportional to its acceleration. The proportionality constant, which is the object's mass, gives the equation ma = f (force equals mass times acceleration). This means that if a force is applied to an object with a certain mass, it will accelerate proportionally to the magnitude of the force.
Applying Newton's Second Law of Motion allows us to determine the force required to move an object of a certain mass a certain distance. We can also use it to calculate the acceleration of an object given its mass and the force acting on it. The second law states that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. If the mass of the object remains constant, the acceleration produced is directly proportional to the force applied.
The second law also tells us that if a net force is acting on an object, it will accelerate in the direction of that force. This law can be used to explain the motion of objects in both linear and rotational motion. For example, when a bat hits a ball, the force of the bat on the ball causes it to accelerate, and the ball moves in the direction of that force. In summary, applying Newton's Second Law of Motion is a powerful tool for understanding the motion of objects and how they respond to forces acting on them.
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* Question Completion Status: Moving to another question will save this response. Question 29 Which one of the following statements is not true? (choose all apply) O UV radiation is a type of ionizing
One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.
UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.
UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.
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a collection of voltaic cells (or piles) is called a _______________.
A collection of voltaic cells (or piles) is called a battery.
What are voltaic cells?
Voltaic cells are chemical cells that generate electricity.
A series of voltaic cells connected together in a steel container which produce current as a result of oxidation reduction reaction.
In a voltaic cell there are two compartments where oxidation and reduction occurs simultaneously to produce current.
In each compartment there is an electron. The positively charged electrode is cathode(reduction) and negatively charged in anode (oxidation).
In general, the steel container in which a redox reaction occurs inside a voltaic cell is called a battery.
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Friction is a ____________ force
a. Artificial
b. Natural
c. Pessimistic
d. Negative
Answer:
natural is the answer
Friction is a natural force which exist
in the process of delivering mail, a postal worker walks 161 m, due east from his truck. he then turns around and walks 194 m, due west from his truck. what is the worker's displacement relative to his truck?
33 m, due west, is the worker's displacement from his truck.
The meaning of displacementThe state of being displaced: the action or process of displacing. a storm that forced thousands of people to evacuate. Physics: the volume and weight of a fluid, such as water, that is moved by a floating object, such as a ship, of equivalent weight (see move sense 2a).
What else can displacement be called?Replace, supersede, & supplant are some typical synonyms for the word "displace." Displace indicates an ousting and dislodging even if all of these terms imply "to put out of a customary or proper place and into the position of another." Thousands had been displaced by war.
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around how many banks failed during the great depression?
In total, 9,000 banks failed, wiping out $7 billion in assets from depositors. Additionally, there was no deposit insurance throughout the 1930s; this New Deal reform made it possible.
In the midst of the Great Depression, which banks failed?The Bank in New York went under in December of that year. The bank at the time had deposits totaling more than $200 million, making it the biggest single bank failure within American history.
Between 1929 and 1933, how many banks failed?The amount of products and services produced by the United States decreased by one-third from 1929 and 1933, the unemployment rate increased to 25% of the working population, the stock market lost 80% of its value, and over 7,000 banks failed.
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6. A sled traveling at a speed of 3.0 m/s slows to a stop 4.0 m from the point where
its passenger rolled off. What is the magnitude of the horizontal net force that
slows the 110 N sled? (Assume ag = 10m/s2)
D
Answer:
-12.38 N
Explanation:
This question requires you to first find the acceleration then apply Newton's 2nd law of motion to find the force.
To find deceleration use the formula;
v²= u²+2ad ---where
v= final speed = 0 m/s
u= initial speed = 3.0 m/s
a= acceleration { in this case , deceleration} = ?
d= distance from the point where its passenger rolled off= 4.0 m
therefore ;
\(a=\frac{v^2-u^2}{2d}\)
\(a=\frac{0^2-3^2}{2*4} =\frac{-9}{8} m/s^2\)
Mass of the sled is calculated from its weight force.
Weight force = mg
mass of sled = weight force / g where g= 10 m/s²
mass of sled = 110/10 = 11kg
The magnitude of horizontal net force will be : F= ma where ;
m= mass of sled = 11 kg
a= deceleration = -9/8 m/s²
F = 11 * -9/8 = -12.38 N
Force is acting on the opposite direction of the initial motion of the sled.
The magnitude of the horizontal net force acting on the sled is 12.375 N.
Given data:
The initial speed of sled is, u = 3.0 m/s.
The final speed of sled is, v = 0 m/s.
The distance covered before stopping is, s = 4.0 m.
The weight of sled is, W = 110 N.
Using the Newton's second law, the net horizontal force acting on the sled is given as,
F = ma
here,
m is the mass of sled.
a is the acceleration of sled.
Mass is calculated from the weight as,
W = mg
110 = m (10)
m = 11 kg.
Now, using the second kinematic equation of motion to obtain the acceleration of sled as,
\(v^{2}=u^{2}+2(-a)s\\\\0^{2}=3^{2}+2(-a)4\\\\8a=9\\\\a=1.125 \;\rm m/s^{2}\)
Then the magnitude of net horizontal force is,
\(F = ma\\\\F = 11 \times 1.125\\\\F = 12.375\;\rm N\)
Thus, we can conclude that the magnitude of the horizontal net force is 12.375 N.
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solar energy and terrestrial reradiation are usually measured in units of length called ________.
Solar energy and terrestrial reradiation are usually measured in units of length called micrometers.
Radiometers are sensors that can be used to measure solar and terrestrial radiation. These sensors detect electromagnetic radiation and convert it into a measurable electrical signal. The energy that the sensor detects can be measured in units of length called micrometers (µm).
One common type of radiometer is a pyranometer, which measures the total amount of incoming solar radiation. Another type of radiometer is a pyrgeometer, which measures the amount of outgoing longwave radiation from the Earth's surface. Both of these sensors measure radiation in units of micrometers.
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A student conducted a scientific investigation on the magnetic properties of iron. She used a magnet to try to pick up
iron nails
After making several observations, which question can she answer?
O Which part of a magnet is strongest at attracting iron?
O How fast does iron lose its magnetism?
O What is the importance of studying the magnetic field of a magnet?
How does the color of iron change with exposure to air?
Mark this and return
Save and Exit
RE
S
Answer:
she can answer : which part of the magnet is said strongest at attracting iron & how fast does iron lose its magnetism?
Cindy pours cool milk into a hot bowl of oatmeal and then stirs it with a room-temperature spoon. Which substance will have heat flow from it to the other substances? the milk
the spoon
the oatmeal
the surrounding air
true or false? Atmospheric pressure increases with height
Answer:
True
Explanation: