The current in one part of a series circuit is 5 - 3f amps. The current in another part of the circuit is 7 + 9j amps. Add these complex numbers to find the total current in the circuit.
The overall current in the circuit, according to the stated assertion, is 12 -2f + 9j.
What does current in electrical terms mean?When describing however much electricity flows through a connection and how it moves in an electronic circuit, the phrase "electric current" is often employed. It is measured in amperes (A). The ampere number rises as more electricity flows through the circuit.
Briefing:
Since all current in a series circuit travels in the same direction.
We can evaluate the total current that flows in the circuit as follows;
Total current = 1st part current + 2nd part current
Total current =5 – 2f + 7 + 9j
Total amps = 12 –2f + 9j.
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Imagine a table that has a hole drilled through the center. Through this hole is a string that connects one mass that hangs under the table, to a mass that is on top of the table and spinning. mass M weighs 10kg, mass m weighs 5 kg, and the radius, R, of the circle mass M, traces out is 50cm.
1. Solve for Force centripetal
2. At what speed does the mass M need to rotate in order to keep mass m suspended
Answer: The speed at which mass M needs to rotate in order to keep mass m suspended is 0.7071067811865475 m/s.
Explanation:
The CN Tower in Toronto, Canada, is 553 m tall, making it the tallest free-standing structure in the world. Suppose a chunk of ice with a mass of 25.0 g falls from the top of the tower. The speed of the ice is 30.0 m/s as it passes the restaurant, which is located 353 m above the ground. What is the magnitude of the average force due to air resistance?
The magnitude of the average force due to air resistance be 188.75 N.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that
The total energy of the system is conserved in a closed system, also known as an isolated system.
Total energy of the chuck of ice at 553 m tall tower: E = mgh
= 25.0 × 9.8 × 553 Joule = 135485 joule.
If the average force due to air is W the, total energy of the ice at 353 m above the ground:
E = mgh + 1/2mv² + W(553-353)
= 25.0 × 9.8 × 353 + 1/2×25×30² + 200 W
= 97735 + 200 W joule
According to conservation of energy:
135485 = 97735 + 200 W
⇒ 200 W = 37750
⇒ W = 188.75 N.
Hence, the magnitude of the average force due to air resistance be 188.75 N.
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During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 21.3 meters above the river, while the opposite side is only 1.8 meters above the river. The river itself is a raging torrent 48.0 meters wide.
The speed of the car to land safely on the opposite side will be 24.0 m/s. The speed of the car just before it lands on the other side will be 31.0 m/s.
(a) Speed is defined as the rate of change of the distance attained. it is a time-based quantity.
The equation for the position vector will be;
= r = x₀ + v₀xt,y₀ + v₀yt + (1/2)gt²
where,
r = the vector position of the car
vₓ = the initial horizontal velocity
vₐ = initial vertical velocity
t = time
y₀ =the initial vertical position
g =the acceleration due to gravity
v = the velocity at time t
From the figure, the origin of the frame of reference is located at y₀ = 0 and x₀ = 0.
The given position vector from the figure;
= r(final) = (48 -19.5) m
Then, employing the equations for the x and y-components of the vector r final, we will obtain;
= y = y₀ + v₀yt + (1/2)gt²
= y = (1/2)gt²
= -19.5 m = (1/2) X 9.8 X t²
= t = 2 s
By estimating the initial velocity at t = 2.00
The value is x-component of the vector r final is 48.0 m.
= x = x₀ + v₀xt [x₀ = 0]
= 48 = v₀x X 2
= v₀x = 24 m/s
Hence the speed of the car to land safely on the opposite side will be 24.0 m/s.
(b) The speed of the car just before it lands on the other side will be 31.0 m/s.
= v = (v₀x,v₀y + gt)
The y-component of v is given by;
= vₐ = v₀y + gt [v₀y = 0]
= vₐ = -9.8 X 2
= vₐ = -19.6 m/s
The resultant speed of the vector v will be :
= v² = 24² + (-19.6)²
= v = √ (24² + (-19.6)²)
= v = 31 m/s
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The complete question:
During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leap- ing the river with his car. The side of the road the car is on is 21.3 m above the river, while the opposite side is only 1.8 m above the river. The river itself is a raging torrent 48.0 m wide. (a) How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? (b) What is the speed of the car just before it lands on the other side?
which of the following are advantages of deformation processes compared to other metal manufacturing processes? [select all that apply]
The advantages of deformation processes are surface qualities, strength, and durability. Cold processing of metals has numerous advantages.
In cold settings, metals are distorted to achieve the desired forms. Cold processing of metals has numerous advantages.
The most significant advantage of cold working is the absence of the need for heating equipment and heat energy to raise the temperature of the metal. This is a highly valuable advantage of cold-working metals over heat-working processes.
Because the dimensions do not vary as the temperature rises, greater surface qualities, and dimensional tolerances can be produced.
Because of grain flow, when metal parts are deformed at high temperatures, the desired mechanical characteristics can be acquired in the desired directions.
The strain-hardening phenomenon occurs during the cold deformation of metal parts, resulting in increased strength.
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I need help with this question please.
The frequency heard by the person is 493.78Hz.
When the train moves toward the stationary observer then:
[tex]F=n(V/V-V_{s})[/tex]
Given:[tex]n=472,V=340m/s,V_{s}=15m/s[/tex]
[tex]F=472(340/340-15)\\F=493.78Hz[/tex]
What are the frequency and pitch of sound?
Sounds are higher or lower in pitch according to the frequency of vibration of the sound waves producing them. A high frequency (e.g., 880 hertz [Hz; cycles per second]) is perceived as a high pitch, and a low frequency (e.g., 55 Hz) as a low pitch.
How does the frequency of sound change with distance?
The frequency of sound doesn't decrease with distance, but it does decrease with increasing distance, meaning it does go through the doppler shift, the same as light. This is why the sound of a car driving by at high speeds drops in frequency as the car passes you.
Thus, the frequency at which the whistle is heard is 493.78Hz
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452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
What is frequency ?The No. of oscillations of a wave in fixed unit of time is termed as frequency. f=1/T .
The S.I unit of frequency is hertz (Hz). One hertz is = to one cycle per second.Given:
Frequency of whistle is =472Hz
The speed of train = 15m/s
Speed of air =340m/s
Solution:We use the given formula nA=n( V/V+Vs)
nA= 472(340/340+15)
nA=452.05 Hz
Hence, 452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
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creep i. is the plastic deformation of a material under a stress. ii. is the time dependent degradation of material. iii. is a measure of the amount of energy a material can absorb. iv. is the fracture of material under cyclic stress.
The plastic deformation of a material under a stress is the permanent deformation.
Plastic deformation is the permanent deformation of a material that occurs when the material is subjected to a stress that is above its yield strength. When a material undergoes plastic deformation, the bonds between the atoms or molecules that make up the material are broken and reformed in a new configuration, resulting in a permanent change in the shape of the material.
Plastic deformation can occur in a variety of materials, including metals, plastics, and ceramics. It is typically characterized by a decrease in the strength and an increase in the ductility of the material, as the material becomes more pliable and able to undergo significant deformation without breaking. The amount of plastic deformation that a material can undergo depends on a variety of factors, including the material's yield strength, the type of stress it is subjected to, and the duration of the stress. Some materials, such as steel, are able to undergo significant plastic deformation before breaking, while other materials, such as glass, are prone to brittle failure and can undergo little or no plastic deformation before breaking.
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Kenneth is football player who lifts weights to build his strength for games. He begins drinking with his friends. At first it's only sometimes, but soon he
does this every weekend and sometimes during the week. His sister Margaret wants to get him to quit. What area would be BEST for Margaret to
focus on to convince Kenneth to quit drinking?
A aerobic fitness
B mental stimulation
C muscle development
D heart health
The mental stimulation area would be BEST for Margaret to focus on to convince Kenneth to quit bad habit.
What is mental stimulation?Mental activity plays a significant role in every stage of life, from birth to death. There are numerous benefits of mental stimulation, including those that are protective, emotional, physical, psychological, and neurological.
Anything that stimulates, activates, or enriches the mind is said to be engaging the mind or stimulating the nervous system. Thoughts can offer internal stimulation, while the environment might provide external stimulation. Education, employment, social interaction, and leisure activities are all significant sources of mental stimulation.
Hence, Margaret should concentrate on increasing Kenneth's mental stimulation in order to persuade him to change his bad habit.
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This graph shows the changes in energy of a box as it moves down a ramp. The x-axis represents the distance the box travels from its starting point at the top of the ramp. How do the height and velocity of the box change as it moves down the ramp?
The height and the velocity both decrease.
The height and the velocity both increase.
The height increases and the velocity decreases.
The height decreases and the velocity increases.
The height of the box decreases and the velocity of the box increases.
What is law of conservation of energy?Energy cannot be created or destroyed according to the rule of conservation of energy. However, it is capable of changing its form. The total energy of an isolated system is constant for all forms of energy.
The law of energy conservation is observed by all energy forms. In a nutshell, the law of conservation of energy asserts that: The whole energy of the system is preserved in a closed system, or a system that is cut off from its surroundings.
As the total mechanical energy of the box is conserved, the potential energy of the box transfers into kinetic energy which refers that the height of the box decreases and the velocity of the box increases.
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Since Finding Nemo came out in theaters, there has been an increased demand for pet clownfish. Now marine biologists are noticing that the sea anemone population is also decreasing. What can we do to help build up the sea anemone population? Explain why your solution would help.
There are plenty of things we can do to help build up the sea anemone population, but a few ways would be:
A) mate clown-fish to breed,
B) tell people about the problem they're producing, and
C) prohibit the purchase and sale of clown-fish in retailers.
Why sea anemone population is decreasing?The sea anemone is not a threatened species. The effects of climate change and human activities on sea anemone populations, on the other hand, remain mostly unknown. Clown-fish have a thick mucus covering that shields them from the potentially lethal sting of sea anemones.
According to research, clown-fish and other anemone-fish populations are declining in the wild due to over harvesting for the aquarium trade.
Thus,
A) mate clown-fish to breed,
B) tell people about the problem they're producing, and
C) prohibit the purchase and sale of clown-fish in retailers.
This can we do to help build up the sea anemone population.
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According to the position vs time graph below, at what time did David first start to move in a positive velocity (forward direction)?
A. At 3 minutes
B. At 0 minutes
C. At 7 minutes
D. At 5 minutes
According to the given position vs time graph, at the 5th minute, David first starts to move at a positive velocity in the forward direction. Therefore, option D is correct.
What is the Position Time Graph?The position vs time graph can be defined as where the instantaneous position is plotted on the y-axis and the time is plotted on the x-axis is called a Position vs. time graph.
In the position vs time graph, draw an independent variable on the x-axis while dependent variables will be plotted on the y-axis. The dependent variable should be dependent on the independent variable.
In the given graph the slope of the graph is positive after the fifth minute. The slope of the position vs time graph is representing the velocity. Therefore, David first starts to move at a positive velocity at 5 minutes.
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Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The
object moves with constant acceleration. Which part of a velocity vs. time graph can be used to calculate the
displacement of the object?
The integration of the area under the curve would give the displacement.
What is the displacement?We know that the displacement can be defined as the change in the position of an object in a specified direction. Now we know that the velocity time graph is the kind of graph that shows change in the velocity of the object with time.
Now we can get the displacement of the object as the integral of the area under the curve of the graph and this is going to help us to obtain the entire displacement of the journey of the object.
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electronic rack-and-pinion systems use an electric motor to pump the hydraulic fluid through the hoses.
Electric – power – steering rack. Let's break it down one by one. “Steering rack” is a set of rack and pinion gears that is connected to both front wheels. When we turn the steering wheel, the rack and pinion gears engage in a way that shifts the car wheels to the left or right, which steers the car
Electric systems do not require power steering fluid to work and only draw power when needed, making them more fuel efficient than hydraulic systems. A rack gear and a pinion gear that transmits the steering wheel rotation inside of your car to tire movement outside of your car.
By providing power assist via hydraulic pressure, this system delivers a naturally smooth steering feel and, thanks to the flexibility of control allowed by electric power, offers more precise steering power characteristics.
Hydraulic power steering systems tend to be heavier than electrical systems. Hydraulic power steering systems require hydraulic fluid, which must be changed from time to time. Electrical systems don't use any fluid, so you don't have to do as much maintenance.
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11.15 in the circuit of fig. 11.46, find the value of zl that will absorb the maximum power and the value of the maximum power.
The value of x =3.
What is value?Value is regard that something is held to deserve the important worth or usefullness of something .
In ∆ ABC
<A= <B=<C
Triangle is equilibrium triangle.
All the triangle side will be equal
6x-3=3x+6=5x
=6x-3 =3x+6
=3x=g
X=3
Thus, X = 3
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MgBr2 + 2 NaCl → MgCl2 + 2 NaBr
is this double replacement or single replacement or something else
The reaction depicted by the equation is a double replacement reaction.
What are double replacement reactions?Double-replacement reactions are chemical reactions during which the reactants exchange ions to form two new products entirely. The two compounds participating in double-replacement reactions are usually ionic compounds.
Unlike double-replacement reactions, single-replacement reactions involve the displacement of an atom from a compound by another atom.
Thus, a double-replacement reaction is in the form: [tex]AB + CD --- > AD + CB[/tex]
While a single-replacement reaction is usually in the form: [tex]AB + C --- > AC + B[/tex]
Thus, the reaction [tex]MgBr_2 + 2 NaCl --- > MgCl_2 + 2 NaBr[/tex] is a double replacement reaction.
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The graph in Figure 13 represents the motion of a car moving along a straight highway. Describe in words the car’s motion.
Answer: decreasing diagnol lines are constant dpeed moving toward the origin
Explanation:
an alien spacecraft is flying overhead at a great distance as you stand in your backyard. you see its searchlight blink on for 0.190 s s . the first officer on the craft measures the searchlight to be on for 20.0 ms m s . for related problem-solving tips and strategies, you may want to view a video tutor solution of time dilation at 0.99c.
The time measure as 20 ms is the proper time. The speed of aircraft relative to Earth is 0.89 X c m/s.
Part A:
The time measured by the searchlight of 20 ms is the proper time Because this time is measured by a rest clock with respect to space craft.
Part B:
Speed of the aircraft = v
Initial time = t = 20 ms = 0.020 s
Final time = t' = 0.190 s
Speed of light = c
Using Time dilation equation,
= t' = t / √( 1 - (v/c)²)
= √( 1 - (v/c)²) = t / t'
= ( 1 - (v/c)²) = ( t / t' )²
= ( 1 - (v/c)²) = ( 0.02 / 0.190 )²
= (v/c)² = 1 - 0.011025
Finding roots on both sides,
= (v/c) = 1 - 0.20/0.19
= 0.89 = (v/c)
= v = 0.89 X c m/s
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The complete question:
An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see its searchlight blink on for 0.150 s . The first officer on the craft measures the searchlight to be on for 18.0 ms . Part A Which of these two measured times is the proper time? 0.150 s 18.0 ms Part B What is the speed of the spacecraft relative to the earth, expressed as a fraction of the speed of light, c?
Physical properties can be and Some physical properties of matter such as and are observed using the fives senses.What are the ways to tell if a chemical change has occurred due to a reaction? List and describe them in complete sentences. (Hint: there are five that we read about.
The ways to tell if a chemical change has occurred due to a reaction include the following below:
Color Change.Production of an odor.Evolution of a gas etc.What is a Chemical change?This is a term which is referred to as the type of reaction which occurs when the substance's composition is changed and also involves the substance combining with another to form a new substance through the process of bond formation etc.
As a result of a new substance being produced during the reaction, there are certain changes in the color and odor due to the new substance being formed.
The evolution of a gas and the presence of precipitate both depicts the formation of a new substance which are therefore the ways to tell if chemical change occurred in the reaction.
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PLEASE HURRY!!
Two objects that each have a mass of 10,000 kg are 5.5 m apart. What is the gravitational force between them? (Universal constant of gravitation: 6.67 x 10-11)
a. 2.20 x 10^-4 N
b. 1.51 x 10^-3 N
c. 2.59 x 10^-5 N
d. 1.99 x 10^-4 N
Answer:
(a) 2.20 x 10^-4 N.
Explanation:
To solve this problem, you can use the formula for the gravitational force between two objects:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the universal constant of gravitation, m1 and m2 are the masses of the two objects, and r is the distance between them.
Plugging in the given values, we get:
F = (6.67 x 10^-11) * (10,000 kg) * (10,000 kg) / (5.5 m)^2
= 2.20 x 10^-4 N
So the answer is (a) 2.20 x 10^-4 N.
Tell me if this helps :)
g determine how fast the top of the ladder is sliding down along the vertical wall when the base is 6 ft from the wall
The top of the ladder is sliding down the vertical line with a vertical speed of 0.75ft/s when the bottom of the ladder is 6ft from the wall.
Please refer to the image below.
We know from the case, that:
x = 6ft
l = 10ft
dx/dt = 1ft/s
Using the phytagoras theorem, we know that:
y² = 10² - x² ... (i)
Since the speed is the derivative of distance with respect to time, we could use the same concept to the equation (i) above:
2y.dy/dt = (0 - 2x) dx/dt
dy/dt = (x/y) dx/dt ... (ii)
When the ladder slides down and its bottom reach 6ft from the wall, the height of the ladder on the wall is:
y² = 10² - x²
y² = 10² - 6²
h = 8ft
The vertical speed of the ladder is:
dy/dt = (8/6) dx/dt
dy/dt = (8/6) (1)
dy/dt = 0.75 ft/s
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Complete Question:
A ladder 10ft long rest afainst a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6ft from the wall?
A mechanic uses a crowfoot wrench to loosen a bolt at E. Knowing that the mechanic applies a vertical 24-lb force at A, determine using Mohr's circle method the principal stresses and the maximum shearing stress at point H located as shown as on top of the 3/4-in. diameter shaft (this is the problem of 7.47 in the 7th edition).
As a result, the diameter of the shaft, as determined by Mohr's circle method, is 3.4 ksi.
What is Mohr's circle method?The transformation equation for issues involving plane stress are shown graphically by Mohr's circle. It helps to visualize the relationship between normal and shear loads acting on a stress component at any required direction. This process was developed by a German scientist by the name of Karl Friedrich Mohr. As a result, this procedure was given the moniker Mohr's method. Direct titration is a part of the procedure. Chloride ion solution serves as the analyte in this process, while silver nitrate is utilized to prepare titrants.
What is Mohr equation?The major stress and maximum shear stresses are identified, along with their planes, using Mohr's circle, which also aids in visualizing the normal stress and shear stress acting on the plane. Maximum shear stress (max) equals (σ1-σ2). Mohr's Circle coordinate is represented by the symbols σx,σy. Mohr's Circle Center (C) = ((σ1+2)/2, 0)
Briefing:J=0.0310 in^4
I=J/2=0.0310/2
I=0.0155 〖in〗^4
T=Tr/J=(240×0.375)/0.031
=2.9ksi
σ=Mr=144×(0.375)
=3.5ksi
σA=σmax=σ avg+R
=1.75+3.4
=5.15ksi
σB=σ min=σ avg-R
=1.75-3.4
=-1.65ksi
T max.=R=3.4ksi
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the following is the electron configuration for an element that combines with magnesium to form an ionic compound. what are the correct subscripts for the formula of this compound?
Magnesium oxide is created by the ionic bonding of magnesium (Mg) and oxygen (O2). While oxygen has six valence electrons and an of 3,44, magnesium only has two valence electrons and a value of 1,31.
What is in a electron?A opposite charges subatomic particle known as an electron can either be free or attached to an atom (not bound). One of the three main types of components within an atom is an e that is bonded to it; the other couple are protons и neutrons.
What gives electrons their energy?When sufficiently stimulated, atoms in these materials transition from one energy level to another and inhabit a new orbital. These higher-energy electrons eventually return to their initial energy level after releasing their "excess" energy in form of a light photon.
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Discussion Topic
Whenever important physicists are discussed, Galileo Galilei, Isaac Newton, and Albert
Einstein seem get the most attention. However, as you've seen, Galileo formulated or
refined many of his discoveries and theories based on the findings of others who came
before him, including Aristotle and Nicolaus Copernicus. Likewise, Newton claimed that
he "stood on the shoulders of giants" in developing his work. You've just begun your stud
of physics, but from what you know (or can research and find out) take a position that
Galileo, Newton, and Einstein deserve this special recognition. Alternately, identify a
physicist that you think has been overlooked, compared to these three. Do some
research and support your opinion with credible arguments.
This particular honour belongs to Galileo, Newton, and Einstein since they each contributed significantly new ideas in addition to expanding upon and furthering the knowledge of those who came before them.
Briefing:
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. As you've seen, though, many of Galileo's discoveries and hypotheses were developed or modified using the findings of those who came before him, including Aristotle.
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. However, as you've seen, a lot of Galileo's discoveries and theories were developed or improved upon using the knowledge of those who came before him, including Aristotle.
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A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest.
The centripetal acceleration of the mass is 10 m/s².
What is the centripetal acceleration of the mass?
The centripetal acceleration of the mass when it is at the lowest position is calculated as follows;
Tsinθ = ma - mg
where;
θ is the angle of inclination of the stringT is the tension in the stringm is mass suspendeda is centripetal acceleration of the massg is acceleration due to gravitywhen the mass is at the lowest position, θ = 0
The centripetal acceleration of the mass is calculated as follows;
T sin (0) = ma - mg
0 = ma - mg
ma = mg
a = g
Given that g, acceleration due to gravity = 10 m/s²
Hence, a = 10 m/s²
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The complete question is below:
A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest. Calculate the centripetal acceleration of the mass when it is at the lowest position ( take g = 10 m/s²).
Wich is faster this is for a project so pls don't guess
1.328m/s
or
1.351 m/s
Answer:
1.328m/s
Explanation:
Because it takes less meters per second compared to 1.351 m/s. Hope it helps!
A teacher wants to determine how well students can discuss ways in which related concepts differ. Which of the following is most appropriate for this objective?
Group of answer choices
True-false
Matching
Multiple choice
Short essay
Short essay is most appropriate for this objective because it allows
students to discuss ways in which related concepts differ in their own
words. True-false, matching, and multiple choice formats do not
typically provide as much opportunity for in-depth discussion.
A 12 kg weather rocket generates a thrust of 200 N_ The rocket, pointing upward, is clamped to the top of a vertical spring, k = 550 N/m. The spring is anchored to the ground: a. Initially, before the engine is ignited, the rocket sits at rest on the top of the spring: How much is the spring compressed? b. After the engine is ignited, what is the rocket'$ speed when the spring has stretched 40 cm?
Initially before the engine is ignited, the weather rocket sits at rest on the top of the spring, and the spring is compressed 0.214m
After the engine is ignited, the rocket speed (that generates a thrust of 200N) when the spring has stretched 40cm is 1.78m/s
Answer to question a.
Given from the question
mass of weather rocket = 12kg
Thrust by rocket Ft = 200N
Spring constant K = 550N/m
Let spring compressed = x meters
Now, let us using the force formula
F rocket = F spring
mass rocket (m) * g (earth gravity) = spring constant (K) * x
12 * 9.8 = 550 * x
117.6 = 550x
x = 0.214m (X₁)
Answer to question b
where y = x₁ + x₂ ; x₁ = 0.214m ; x₂ = 0.4m (stretched 40cm)
y = 0.614
200 * 0.614 + 1/2 * 550 * 0.214² = 1/2 * 550 * 0.4² + 12 * 9.8 * 0.614 + 1/2 * 12 * v²122.8 + 12.59 = 44 + 72.21 + 6 * v²6v² = 19.18v = 1.788m/s
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A transverse wave of amplitude 3.0 cm, frequency 5.0 Hz, and speed 2.0 m/s travels on an infinitely long Slinky. How far apart are the two nearest points on the Slinky that at one particular time both have the maximum magnitudes of displacements from their equilibrium positions?
A transverse wave of amplitude 3 cm, frequency 5 Hz, speed 2 m/s travels on an infinitely long silky. The distance between the two nearest points is 0.4 m.
Given that, amplitude = 3 cm
Frequency = 5 Hz
Speed = 2 m/s
As the wavelength is the measure of distance between two crests or two troughs in a wave, the peaks should be identical.
The distance between the two near-points on the silky is calculated by applying wave equation as follows:
v = f * λ
where, v is the speed
f is the frequency
λ is the wavelength
Making λ as subject, we have, λ = v/f
Substituting the values in the above formula, we have,
λ = v/f = 2/5 = 0.4 m
Thus, the wavelength is found to be 0.4 m.
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(a) Find an equation for the length L of a refracting telescope in terms of the focal length of the object Fo and the magnification m. (b) A knob adjusts the eyepiece forward and backward. Suppose the telescope is in focus with an eyepiece giving a magnification of 50.0. By what distance must the eyepiece be adjusted when the eyepiece is replaced, with a resulting magnification of 1.00x10^2? Must the eyepiece be adjusted backward or forward? Assume the objective lens has a focal length of 2.00m.
The equation of length is fo(1-1/M) and distance used for adjustment of eye piece is 20cm.
A refracting telescope's magnification is calculated by dividing the objective's focal length by the eyepiece's focal length.
e. g. A reflecting telescope has a 5 cm eyepiece and an objective with a focal length of 70 cm. It will be magnified by 70 / 5 = 14.
a) L = fo + fe
M = -fo / fe========> fe = -fo / M
L = fo - fo/M = fo*(1-1/M)
b) M = 50 = -fo/fe
L1 = fo*(1-(1/50)) = 2*(1-(1/50)) = 1.96 m
L2 = fo*(1-(1/50)) = 2*(1-(1/100)) = 1.98 m
d = L2 - L1 = 0.02m = 20 cm
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If you live in a place that gets its electricity from a coal plant, it is better to drive a(n) ____ car.
Driving an electric vehicle is preferable if you reside somewhere where coal plants are used to generate power.
Coal-fired power plants generate steam in order to generate electricity. These facilities generate almost 40% of the power used worldwide. Coal plants require enormous amounts of coal. The coal plant uses 9000 tonnes of coal per day. Coal is a flammable sedimentary rock with a colour that is either black or brownish-black, and it is sometimes referred to as coal seams. Coal is essentially made of carbon, with different amounts of other elements, including hydrogen, sulphur, oxygen, and nitrogen. Dead plant matter decomposes into peat, which under the heat and pressure of deep burial for millions of years eventually turns into coal. Coal mining and consumption result in early mortality and disease. The biggest anthropogenic source of carbondioxide causing climate change is coal burning, which harms the ecosystem.
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