A massless bar 1 m long is balanced by a pivot in the middle. A 1 kg mass is placed to the right of the pivot at a distance 20 cm from the pivot. How far to the left of the pivot does a 2 kg mass need to be placed in order to keep the system in balance?
Answers
The 2 kg mass needs to be placed at a distance of 10 cm to the left of the pivot to keep the system in balance. This can be calculated using the principle of moments.
What is the principle of moments?
The principle of moments states that for a system to be in balance, the sum of the clockwise moments about any point must be equal to the sum of the anticlockwise moments about the same point. Mathematically, this can be written as:ΣMcw = ΣMacwIn this problem, the bar is balanced by a pivot in the middle. This means that the bar is in rotational equilibrium.
Calculating the distance of the mass from the pivot:
The principle of moments can be applied by considering moments about the pivot. Moment of the 1 kg mass about the pivotM1 = 1 kg × 9.81 m/s² × 0.2 m = 1.962 Nm (clockwise moment). Moment of the 2 kg mass about the pivot M2 = 2 kg × 9.81 m/s² × x = 19.62x Nm (anticlockwise moment)Since the system is in balance, the clockwise moment must be equal to the anticlockwise moment. Therefore,1.962 = 19.62xSolving for x,x = 1.962/19.62 = 0.1 m = 10 cm. Therefore, the 2 kg mass needs to be placed at a distance of 10 cm to the left of the pivot to keep the system in balance.
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Related Questions
the filament of a 100 ww (120 vv ) light bulb is a tungsten wire 0.032 mmmm in diameter. at the filament's operating temperature, the resistivity is 5.0×10−7ω⋅m5.0×10−7ω⋅m .
Answers
The length of the filament of a 100 ww (120 vv ) light bulb is a tungsten wire 0.032 mmmm in diameter. at the filament's operating temperature, the resistivity is 5.0×10−7ω⋅m5.0×10−7ω⋅m is 2.44 cm.
The resistance of a filament in an electric bulb can be calculated using the formula: R = ρ (L / A)Where R is resistance, ρ is resistivity, L is length and A is cross-sectional area of the filament. Diameter of the filament, d = 0.032 mm, The radius of the filament, r = d/2 = 0.032/2 = 0.016 mm = 0.000016 m, Area of the filament, A = πr² = π(0.000016)² = 8.04 x 10^-8 m²Resistivity, ρ = 5.0×10^-7 Ω m, Length of filament, L = ?Power of bulb, P = 100 W, Voltage of bulb, V = 120 V, Resistance of filament, R = V² / P. From the formula R = ρ (L / A), we have, L = RA / ρL = (V² / P) * A / ρSubstituting the values, L = (120² / 100) * 8.04 x 10^-8 / 5.0×10^-7L = 0.0244 m or 2.44 cm.
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is it chronoligical order
descrption
compare contrast
cause and effect or problem and solution
Answers
Answer:
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a model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. the airplane engine provides a net thrust of 0.800 n perpendicular to the tethering wire. (a) find the torque the net thrust produces about the center of the circle. (b) find the angular acceleration of the airplane. (c) find the translational acceleration of the airplane tangent to its flight path.
Answers
The force on the section of the wall of the airplane is 3N.
The pressure outside the cabin of the commercial airplane is 0.150 atm and the pressure inside the airplane cabin is 0.900 atm.
The dimensions of the section of wall of the airplane are 2.00 m × 2.00m.
The area of the section = 4.00 m².
We know,
Force applied on the portion = pressure applied on that area × area
So, the force on the section of the wall of airplane will be,
Force = (0.900-0.150)×4
Force = 3N.
So, the force on the airplane is 3 Newtons.
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Spring constant of 80 N/m how much elastic potential if it’s stretched .20 metered
Answers
The elastic potential energy of the spring is 1.6 J.
What is the elastic potential energy of the spring?
The elastic potential energy of the spring is the energy stored in the spring and it is calculated as follows;
U = ¹/₂kx²
where;
k is the spring constant x is the extension of the springThe given parameters include;
the spring constant of the spring, k = 80 N/mthe extension of the spring, x = 0.2 mU = ¹/₂kx²
U = ¹/₂ (80) (0.2)²
U = 1.6 J
Thus, the elastic potential energy of the spring is a function of the spring constant and the extension of the spring.
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(Hurry) If there is 3 A going through a lamp that has a resistance of 45
22, what is the voltage running through the lamp?
Answers
The voltage running through the lamp that has a resistance of 45 ohms is 135 V.
What is voltage?Voltage is the product of current and resistance in a circuit.
To calculate the voltage of the lamp, we use the formula below.
Formula:
V = IR................................ Equation 1Where:
V = VoltageI = CurrentR = ResistanceFrom the question,
Given:
I = 3 AR = 45 ΩSubstitute these values into equation 1
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What are your controls?
Answers
Answer:
A to jump
Explanation:
hope this helpes!
What are the two factors that determine the strength of the gravitational force between two objects?
Question options:
density and mass
size and speed
mass and temperature
mass and distance
Answers
Answer:
mass and distance
Explanation:
took the test
A metal rod 800mm long is heated from 10°C to 95°C.If it expands by 1.36mm,the linear expansivity of the metal is?
Answers
Answer:
2 x 10^(-5)
Explanation:
The linear expansivity α can be calculated using the following equation:
\(\Delta L=\alpha\cdot\Delta T\cdot L\)Where ΔL is the change in length, ΔT is the change in temperature and L is the original length of the metal. So, replacing the values, we get:
\(\begin{gathered} 1.36=\alpha(95-10)(800) \\ 1.36=\alpha(85)(800) \end{gathered}\)Then, solving for α, we get:
\(\begin{gathered} 1.36=\alpha(68000) \\ \frac{1.36}{68000}=\frac{\alpha(68000)}{68000} \\ 2\times10^{-5}=\alpha \end{gathered}\)Therefore, the linear expansivity of the metal is 2 x 10^(-5)
calculate work done by a 50 n force pushing a pencil .75m
Answers
Explanation:
work done=force*distance
force=50n
distance=75m
therefore work done is
50*75=3750joules
Explanation :
W =FS
W = 50N(75m)
W = 3750J
the acceleration due to gravity near the surface of the moon is about one-sixth of the value near the earth's surface. if a rock were dropped from equal heights on the moon and earth, the time it would take the rock from the moon to hit the ground would be
Answers
The expression for time it would take the rock from the moon to hit the ground, \(t_m = \sqrt{6} t_e\).
The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.
The Newton's second law says,
\(s = ut +\dfrac{1}{2}a t ^2\)
This means acceleration is inversely proportional to square of time.
\(\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}\)
where, \(a_e\), \(a_m\) is the acceleration at earth and moon respectively.
and, \(t_e\), \(t_m\) is the time at earth and moon respectively.
\(a_m = \dfrac{1}{6} a_e\)
Hence, \(t_m = \sqrt{6} t_e\).
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Greg, Matt, and Stephen work together to hold the door shut to keep out the zombies. Greg pushes
with a force of 15 N, Matt with 12 N, and Stephen with 22 N. What is their net force on the door?
Answers
Part C
Both circuit 2 and circuit 3 have a battery that provides energy to light two bulbs. Based on your observations of
brightness, which battery would run out more quickly when the switches are closed?m
Answers
Answer: The battery in circuit 3 would run out more quickly when the switches are closed because the two bulbs are brighter, which means the battery is providing more energy to that circuit.
Explanation: Answer from plato
a square coil of wire is falling out of a magnetic field directed into the page as shown. what is the direction of the induced current in the coil? a picture containing diagramdescription automatically generated
Answers
The induced current in the coil will flow in a counterclockwise direction.
The direction of the induced current in the coil can be determined using Faraday's law of electromagnetic induction. According to the law, when there is a change in the magnetic flux through a coil of wire, an electromotive force (EMF) is induced in the coil, which in turn creates a current.
In this case, as the coil falls out of the magnetic field directed into the page, the magnetic flux through the coil decreases. To counteract this decrease in flux, the induced current in the coil will produce its own magnetic field directed into the page. .
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positron emission tomography (pet) studies of patients with schizophrenia have found
Answers
Positron emission tomography (PET) studies of patients with schizophrenia have found various patterns of brain activity and neurotransmitter abnormalities associated with the condition. Some key findings from PET studies in schizophrenia include:
Dopamine Dysregulation: PET studies have revealed an imbalance in dopamine neurotransmission in the brains of individuals with schizophrenia. Excessive dopamine activity in certain brain regions, such as the mesolimbic pathway, is associated with positive symptoms of schizophrenia, including hallucinations and delusions.Hypofrontality: PET scans have shown reduced metabolic activity in the frontal cortex of individuals with schizophrenia. This "hypofrontality" may be related to cognitive impairments and negative symptoms experienced by patients, such as decreased motivation and social withdrawal.
Abnormal Glutamate Levels: PET studies have suggested alterations in glutamate neurotransmission in individuals with schizophrenia. Glutamate is an excitatory neurotransmitter involved in various cognitive processes. Disruptions in glutamate signaling may contribute to cognitive deficits observed in schizophrenia.Brain Connectivity: PET imaging has also provided insights into altered functional connectivity in the brains of individuals with schizophrenia. Aberrant patterns of connectivity between different brain regions have been associated with symptoms and cognitive impairments in the disorder.
It is important to note that findings from PET studies in schizophrenia can vary across individuals and may not be consistent across all patients. More research is needed to fully understand the complex neurobiological mechanisms underlying schizophrenia
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why do asteroids look like "dots" to earth-based telescopes?
Answers
Asteroids appear as "dots" to Earth-based telescopes due to their small size and significant distance from Earth, resulting in limited angular resolution and light spread.
Asteroids appear like "dots" when observed through Earth-based telescopes due to their small size and distance from Earth.
1. Small size: Asteroids are relatively small celestial bodies compared to planets or stars. Most asteroids range in size from a few meters to hundreds of kilometers in diameter. Their compact size makes them appear as mere points of light when viewed from Earth.
2. Distance: Asteroids are typically located at significant distances from Earth. Even the nearest asteroids are millions of kilometers away. Due to their distance, the light reflecting off asteroids becomes significantly spread out by the time it reaches Earth, resulting in a small and concentrated point of light.
3. Angular resolution: Earth-based telescopes have a limited angular resolution, which determines the smallest details they can resolve. Since asteroids appear as relatively tiny objects in the sky, the limited angular resolution of telescopes causes them to appear as dots without revealing much surface detail.
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A ball bouncing eventually coming to a stop A. Open system B. Closed system C. Isolated system
Answers
Given:
A ball bouncing eventually comes to stop.
To find:
What kind of a system is this?
Explanation:
An open system is a system where the free exchange of matter and energy with the surroundings takes place.
A closed system is where only the energy of the system is shared with the surrounding. In these kinds of systems, the exchange of matter does not take place.
An isolated system is where neither matter nor energy is exchanged between the system and the surrounding.
When a ball is bouncing, it gradually loses its kinetic energy to the surroundings and eventually comes to stop. But the mass of the ball remains the same. Thus this is a closed system.
Final answer:
The given system is a closed system.
Therefore the correct answer is option B.
1d. Conservation of energy is demonstrated in this roller coaster example.
The Conservation of Energy is a principle which states that energy cannot be created
or destroyed, but can be altered from one form to another
Friction plays a significant role in the efficiency of the rollercoaster cars. Explain how, even
with friction, the law of conservation of energy still holds true. (2 points)
Answers
Answer:
According to the principle of the Conservation of Energy, energy can neither be destroyed or created, energy can be transformed from form to another
The forms of energy the car has at the different stages is given by virtue of either the position of the car, which is the car's potential energy, or the speed of the car, which gives the potential energy of the car
However, due to the frictional forces acting on the car, there is a frictional force which requires work to be done for the car to move between points in the roller coaster
Therefore, based on the Conservation of Energy principle, we have;
The total energy of the roller coaster, M.E. = m·g·\(h_{max}\)
Where;
m = The mass of the roller coaster = 4,500 kg
g = The acceleration due to gravity ≈ 9.81 m/s²
\(h_{max}\) = The maximum height = 30 m
Therefore, M.E.\(_A\) = 4,500 × 9.81 × 30 = 1,324,350 J
The energy at point B, \(M.E._B\) = 4,500×15×9.81 + (1/2) ×4,500×17.15² = 1,323,950.625
The energy at point B, \(M.E._B\) = 1,323,950.625 J
At point C, the total energy, \(M.E._C\) = (1/2)·m·v²
Where;
v = The velocity of the roller coaster at point c = 24.25 m/s
Therefore;
\(M.E._C\) = (1/2) × 4,500 × 24.25² = 1,323,140.625
At point C, the total energy, \(M.E._C\) = 1,323,140.625 J
Therefore, given that the energy at point A, M.E.\(_A\) is larger than the energy at point B, \(M.E._B\), is larger than the energy at point C, \(M.E._C\), the loss in energy can be explained by the presence of the friction which require energy for movement of the roller coaster between the points
Explanation:
Can somebody explain to me what’s 1/d^2 in electric force? And how do I graph it versus a force?
Answers
Answer:
so basically what you gotta do is, and then you can do that but you shouldn't do this
A tugboat is pulling a barge into a harbor. The barge is exerting a force of 3000 N against the tugboat.
Answers
Available options are:
A. –4500 N
B. –2500 N
C. 2500 N
D. 4500 N
Answer:
-4500 N
Explanation:
Given that we have F₁ = 3000N? (force of the barge)
the force of the tugboat is F '
To pull the barge, the force of the tugboat must be greater than or equal to the force of the barge.
Hence, according to Newton's third law which states that for every action or force in nature, there is an opposite reaction.
Therefore considering the available option the correct answer is "- 4500N, " this is because it is greater than the force of the barge and it's in opposition to the force exerted.
Answer:
The answer is -4500 N
Explanation:
Can the sum of two vectors be longer than the total length of both vectors? explain.
Answers
No, the sum of two vectors cannot be longer than the total length of both vectors.
In vector addition, the resultant vector is obtained by placing the vectors head-to-tail and drawing a line from the tail of the first vector to the head of the second vector. This resultant vector represents the sum of the two vectors.
According to the triangle inequality, the length of the sum vector (resultant) must be less than or equal to the sum of the lengths of the individual vectors.
This inequality arises from the fact that the sum of two sides of a triangle must be greater than or equal to the length of the remaining side.
If the sum of the vectors were longer than the total length of both vectors, it would violate this fundamental geometric principle.
Therefore, it is not possible for the sum of two vectors to be longer than the total length of both vectors.
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!!PLEASE I NEED HELP ASAP!!
As the kinetic energy of the molecules in a substance increases, the
a. temperature of the substance increases.
b. temperature of the substance decreases.
c. potential energy of the substance changes.
d. temperature remains the same.
Answers
Answer:
a. temperature of the substance increases.
Explanation:
Temperature is defined as a measure of the average kinetic energy of a substance, so as one rises, so will the other. They are directly proportional.
As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.
Relation of kinetic energy and temperatureKinetic energy is directly related to temperature which means if kinetic energy is increased, the temperature of the solution is also increased and vice versa.
So we can conclude that As the kinetic energy of the molecules in a substance increases, the temperature of the substance is also increases because kinetic energy and temperature is proportional to each other.
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In this section please include the if then statements you develop during your lab activity these statement reflect your predicted outcomes for the experience
Answers
Answer:
but for which activity donu need the answer and mention the question clearly
Classification of living things is necessary
Answers
Classification of living things is necessary to organize and understand the immense diversity of life on Earth.
It allows us to systematically categorize organisms based on their shared characteristics, relationships, and evolutionary history. By classifying living things, we can identify patterns, make predictions, and gain insights into the biological world.
Classification provides a framework for scientists to communicate and exchange information effectively. It enables us to develop a common language and reference system for discussing different species and their traits. It also aids in the identification and discovery of new species, facilitating research, conservation efforts, and the development of medical treatments.
Moreover, classification helps us recognize the interconnectedness and interdependence of various organisms within ecosystems. It highlights the evolutionary relationships between species, revealing shared ancestry and evolutionary patterns.
Overall, classification of living things is crucial for scientific understanding, communication, and management of biodiversity, contributing to our knowledge of the natural world and its complex web of life.
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for which colour of light is. the index of refraction of glass largest
Answers
Answer:
don't know sorry for the irreverent answer..
Answer:
The index of refraction varies with frequency, it doesn't change as light travels from one medium to another, As violet colour has the shortest wavelength and so the refractive index is maximum for it.
28,800 C of charge flow through a lamp every hour. Calculate the current used by this lamp.
Answers
The value of current used by this lamp is 8 ampere.
What is electric current?The rate of charge (electron) passage in a conductor is known as electric current. The ampere is the electric current's SI unit.
Given parameter:
Amount of charge flow through the lamp, Q = 28800 C.
Time taken for this charge flow, t = 1 hour = 3600 second.
Hence, the current flowing through the lamp, I = Q/t
= 28800/3600 ampere.
=8 ampere,
So, the current used by this lamp is 8 ampere.
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a block with mass is suspended on a string. you pull upwards on the string creating a tension force of magnitude . if the upward speed of the block is right now, then what is its speed later?
Answers
The block receives gravitational potential energy when the string is pulled up on it, and this energy is equal to mgh, where mg is the block's mass, g is the acceleration caused by gravity, and h is the height to which it is elevated.
Depending on the context, a block can be used to refer to various things. A block in computing is a unit of data that is sent or stored as a single entity. A block in programming is a segment of code contained in curly brackets or a keyword like "if" or "while." A block in economics is a collection of nations or organisations that work together to accomplish similar objectives. A rectangular or square building material made of concrete, clay, or other materials can be referred to as a block in construction. The word "block" is used in a variety of contexts and for a variety of purposes.
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Why do some substances dissolve in water, but other substances do not?
Answers
Answer:
It has to do with the polairity of said molelule. If you have vegetable oil, for example, it will not disolve in water because the oil is a non-polar compound, unlike water which is polar. The bond dipoles and differences in electronegetivity in the molecule results in this.
which two options are examples of waves refracting?
Answers
hope this helps!
Answer: A & B
Explanation:
Took The test
A body has masses of 0.013kg and 0.012kg in oil and water respectively, if the relative density of oil is 0.875, calculate the mass of the body
Answers
Answer:
the mass of the body is 0.02 kg.
Explanation:
Given;
relative density of the oil, \(\gamma _0\) = 0.875
mass of the object in oil, \(M_o\) = 0.013 kg
mass of the object in water, \(M_w\) = 0.012 kg
let the mass of the object in air = \(M_a\)
weight of the oil, \(W_0 = M_a - 0.013\)
weight of the water, \(W_w = M_a - 0.012\)
The relative density of the oil is given as;
\(\gamma_0 = \frac{density \ of \ oil }{density \ of \ water} = \frac{W_0}{W_w} = \frac{M_a -0.013}{M_a -0.012} \\\\0.875 = \frac{M_a -0.013}{M_a -0.012}\\\\0.875(M_a - 0.012) = M_a - 0.013\\\\0.875M_a - 0.0105 = M_a -0.013\\\\0.875M_a - M_a = 0.0105 - 0.013\\\\-0.125 M_a = -0.0025\\\\M_a = \frac{0.0025}{0.125} \\\\M_a = 0.02 \ kg\)
Therefore, the mass of the body is 0.02 kg.
The diagram shows a ball falling toward Earth in a vacuum.
Why is the distance traveled between seconds 3 and 4 greater than the distance traveled between seconds 1 and 2?
A. The force on a falling object decreases as it falls.
B. The object must push the air out of the way as it falls.
C. An object falling due to gravity moves faster every second.
D. An object slows down as it falls towards Earth.
Answers
Answer: C
Explanation: I took the quiz on A p e x
The distance traveled between seconds 3 and 4 is greater than the distance traveled between seconds 1 and 2 because: an object falling due to gravity moves faster every second. Hence, option (C) is correct.
What is free fall?Any motion of a body in which gravity is the only force acting on it is referred to as free fall in Newtonian physics.
An object may not necessarily be falling down in the traditional sense of the word while it is in a "free fall" in a technical sense. Even if an object going upwards isn't typically thought of as falling, it is said to be in free fall if it is just being affected by gravity.
As during feel force gravitational force works on the object continuously, the velocity of the object increases continuously. Hence, the distance traveled between seconds 3 and 4 is greater than the distance traveled between seconds 1 and 2 .
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