Answers
The total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
What is Work Done?
Work is a physical quantity that describes the amount of energy transferred when a force acts on an object and causes it to move. When a force acts on an object and causes it to move in the direction of the force, work is said to be done on the object. Mathematically, work is defined as the dot product of force and displacement:
Work = Force x Displacement x cos(theta)
To calculate the total work done on the mass as it moves from position x1 to x2, we need to find the net work done by all the forces on the mass. The net work done by a force is given by the formula:
W = F * d * cos(theta)
where W is the work done, F is the force, d is the displacement of the mass, and theta is the angle between the force and the displacement.
First, we can calculate the work done by each force separately and then add them up to find the total work done.
Work done by F1:
W1 = F1 * (x2 - x1) * cos(0) = 5 N * 40 m * cos(0) = 200 J
Work done by F2:
W2 = F2 * (x2 - x1) * cos(50°) = 6 N * 40 m * cos(50°) ≈ 165.41 J
Work done by F3:
W3 = F3 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
Work done by F4:
W4 = F4 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
The total work done on the mass is the sum of the work done by each force:
W_total = W1 + W2 + W3 + W4 ≈ 515.17 J
Therefore, the total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
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Related Questions
The speed of light in vacuum is 3* 10^8. If the refractive index of a transparent liquid is 4/3, then what is the speed of light in the liquid?
Answers
The speed of light in vacuum is 3 × 10⁸ m/s. If the refractive index of a transparent liquid is 4/3, then the speed of light in water will be 2.25 × 10⁸ m/s.
What is Refractive index?Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to the speed of light in the second medium of greater density. The refractive index variable is most commonly symbolized by the letter n or n'.
R.I. of water = Speed of light in vacuum / speed of light in water
n' = 4/3
Speed of light in vacuum = 3 × 10⁸
n' = Speed of light in vacuum / speed of light in water
Speed of light in water = Speed of light in vacuum/ n'
Speed of light in water = 3 × 10⁸/ 4/3
Speed of light in water = 2.25 × 10⁸
Therefore, the speed of light in water medium will be 2.25 × 10⁸ m/s.
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For a given star size, which planet type is easier to detect using the transit method?
OSmaller planets
O Larger planets
O The relative size of the planet does not matter.
Answers
Answer: Smaller planets are easier to detect using the transit method.
Explanation:
The transit method is a technique for detecting exoplanets, or planets outside our solar system, by observing the periodic dimming of a star as a planet passes in front of it (transits). The size of the planet affects the amount of light that is blocked, and therefore the magnitude of the dimming.
Smaller planets block less light than larger planets, making it more difficult to detect the transit. However, smaller planets are more numerous, and their transits are more frequent and easier to observe. Additionally, smaller planets are more likely to be located in the habitable zone of their star, where conditions may be suitable for life.
Therefore, smaller planets are easier to detect using the transit method, as they cause a smaller but more frequent dimming of the star, making them easier to detect with current technology. The relative size of the planet does matter in the transit method, as smaller planets are easier to detect.
Answer:
larger planets (correct)
Explanation:
You have a set of calipers that can measure thicknesses of a few inches with an uncertainty of ± 0. 005 inches. You measure the thickness of a deck of 52 cards and get 0. 590 in:a. If you now calculate the thickness of 1 card, what is your answer, including its uncertainty?b. You can improve this result by measuring several decks together. If you want to know the thickness of 1 card with an uncertainty of only 0. 00002 in. , how many decks do you need to measure together?
Answers
a. The thickness of 1 card (of a deck of 52) = 0.011346 in/card
b. The decks that need to be measured together = 62,500
To calculate the thickness of 1 card, we divide the measured thickness of the deck by the number of cards in the deck:
(a)
0.590 in / 52 cards = 0.011346 in/card
The uncertainty of the measurement is also divided by the number of cards:
±0.005 in / 52 cards
= ±0.000096 in/card
So the thickness of 1 card is 0.011346 in ± 0.000096 in.
b. To reduce the uncertainty to 0.00002 in, we can use the formula:
uncertainty / √n = desired uncertainty
Where,
n is the number of decks measured together.
Rearranging the formula and plugging in the values:
n = (uncertainty / desired uncertainty)²n
= (0.005 in / 0.00002 in)²
n = 62,500
So we need to measure 62,500 decks together to achieve the desired uncertainty of 0.00002 in.
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Impulse is equal to ... (pick TWO answers)
A. the change in momentum of an object.
B. the change in mass of an object.
C.the change in volume of an object.
D. a force applied to an object for a period of time.
E. the original momentum of the object.
Answers
Answer:
A
Explanation:
Momentum change is basically impulse
Object possessing more velocity after bouncing OR the object which bounces more have more impulse
If the mass of the cart is 250 kg, solve for PE at A (height 100 m) and D
(height 75 m). Velocity at A is 0, solve for velocity at location D.
Answers
To solve for the potential energy at points A and D, we need to use the formula for gravitational potential energy:
[tex]PE = mgh[/tex]
What is potential energy?At point A, the height is h = 100 m and the mass of the cart is m = 250 kg. The acceleration due to gravity is g = 9.81 m/s^2. Therefore, the potential energy at point A is:
[tex]PE_A = mgh = (250 kg)(9.81 m/s^2)(100 m) = 245250 J[/tex]
At point D, the height is h = 75 m and the mass of the cart is still m = 250 kg. The potential energy at point D is:
[tex]PE_D = mgh = (250 kg)(9.81 m/s^2)(75 m) = 183937.5 J[/tex]
To solve for the velocity at point D, we can use the conservation of energy principle. At point A, the cart has only potential energy (no kinetic energy), so the total mechanical energy is equal to the potential energy:
[tex]E_A = PE_A = 245250 J[/tex]
At point D, the cart has both potential energy and kinetic energy. Therefore, the total mechanical energy is the sum of the potential and kinetic energies:
[tex]E_D = PE_D + KE_D[/tex]
where [tex]KE_D[/tex] is the kinetic energy at point D, and it is what we want to find.
According to the conservation of energy principle, the total mechanical energy at point D must be equal to the total mechanical energy at point A (assuming no non-conservative forces such as friction act on the cart between A and D). Therefore:
[tex]E_A = E_D[/tex]
Substituting in the values we have calculated:
[tex]245250 J = 183937.5 J + KE_D[/tex]
Solving for [tex]KE_D[/tex], we get:
[tex]KE_D = 61212.5 J[/tex]
To find the velocity at point D, we can use the formula for kinetic energy:
[tex]KE = (1/2)mv^2[/tex]
where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
Substituting in the values we have calculated, we get:
[tex]KE_D = (1/2)mv_D^2Solving for v_D, we get:v_D = sqrt((2KE_D) / m) = sqrt((2(61212.5 J)) / (250 kg)) = 17.6 m/s[/tex]
Therefore, the velocity at point D is 17.6 m/s.
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Find the momentum of a 0.0231 kg bullet fired at 621 m/s.*
A.0.0269 kg·m/s
B.14,200 kg·m/s
C.26.9 kg·m/s
D. 14.3 kg·m/s
Answers
Answer:
The momentum of a 0.0231 kg bullet fired at 621 m/s is calculated by multiplying the mass of the bullet by its velocity:0.0231 kg * 621 m/s = 14.3 kg·m/sSo the answer is D. 14.3 kg·m/s.
Explanation:
Formula for momentum:
[tex]p=mv[/tex]
momentum(measured in kg*m/s) = mass(measured in kg) * velocity(measured in m/s)
__________________________________________________________
Given:
[tex]m=0.0231kg[/tex]
[tex]v=621m/s[/tex]
[tex]p=?[/tex]
__________________________________________________________
Finding momentum:
[tex]p=mv[/tex]
[tex]p=0.0231\times621[/tex]
[tex]p=14.3kg*m/s[/tex]
__________________________________________________________
Answer:
[tex]\fbox{Option D}[/tex]
state the energy transfer that takes place;
as the changes shape during the contact between the racquet and the ball
Answers
The energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball is due to the changes in shape results in deformation of the ball that converts kinetic energy from the racquet into elastic potential energy in the ball.
What is the importance of the kinetic energy of the substance?When a ball strikes a racquet, the kinetic force of racquet causes the ball to compress, which results in a change in its shape and the energy is transferred from the racquet to the ball, and the work done by the racquet on the ball increases the potential energy stored in the compressed ball, and the ball bounces.
Hence, changes in shape results in deformation of the ball and converts kinetic energy present in the racquet to elastic potential energy in the ball and bounces it.
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The question is incomplete, the complete question is here
State the energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball.
Starting from position x0 = 0 at time t0 = 0, a bicyclist rides in a straight line a distance
x in time t and later is a distance 8x after a time 4t. What is the bicyclist’s constant
acceleration?
A: x/2t^2
B: 7x/3t
C: 6x/5t^2
D: 2x/3t^2
Answers
The acceleration of the bicyclist is a[tex](8x)/(4t) = 2x/3t^2.[/tex]
What is acceleration?Acceleration is a measure of the rate of change of an object's velocity over a period of time. It is a vector quantity, meaning it has both a magnitude (or size) and a direction. Acceleration can be positive, negative, or zero. A positive acceleration is when a body is speeding up, a negative acceleration is when a body is slowing down, and a zero acceleration is when a body's velocity is constant.
The bicyclist's acceleration can be determined by noting the displacement (x) and the time (t) required to cover that displacement.
The equation for acceleration is a = (change in velocity)/(change in time). In this case, the change in velocity is 8x and the change in time is 4t. Therefore, the acceleration of the bicyclist is a =[tex](8x)/(4t) = 2x/3t^2.[/tex]
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Electric rail cars often use magnetic braking. The brake consists of a set of electromagnets that are held just above the rails. To brake the train, the electromagnets are switched on, creating a magnetic field that induces eddy currents in the metal rails passing beneath them. In the figure, which of the choices correctly represents the eddy currents induced in the rails? The diagrams represent a view from above, looking down at the rail through the electromagnet. The electromagnet moves to the right, and the magnetic field points into the screen.
Choose the correct answer A,B,C, or D
Answers
The correct choice for the direction of the eddy currents induced in the rails is option A,
As the electromagnet moves to the right and the magnetic field points into the screen, the magnetic flux passing through the metal rails changes, which induces eddy currents in the rails. These eddy currents produce their own magnetic field that opposes the motion of the electromagnet and slows down the train.
Based on the given information, we can determine that the correct choice for the direction of the eddy currents induced in the rails is option A, which shows a circular current flowing in a clockwise direction as viewed from above. This direction of the eddy currents corresponds to Lenz's law, which states that the direction of the induced current will be such that it opposes the change in the magnetic field that produced it. In this case, the eddy currents produce a magnetic field that opposes the motion of the electromagnet, creating a braking force on the train.
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Again, combining the heat equations with the heat flow equation, we find that the difference in the temperature between the sample (or Polly) and the cold bath followed an exponential decay, i.e., Tdir = (constant) - Setting time equal to 0 tells us that the prefactor (constant) out front simply is the initial temperature difference. Knowing the decay constant from the previous question and the temperature difference at some later time, then, we can find the time it takes for the difference between the sample's (Polly's) internal temperature and the bath's temperature to reach some specific value. According to the data you took at the (possible) crime scene and your answer to the previous problem, determine how many hours (to the nearest hour) Polly has been deceased (in hours, to the nearest hour)? Again, Polly's and the water bath's initial temperatures were 37°C and 2°C, respectively, and the final temperatures you measured were 13°C and 7°C. Hence, you could determine if foul play may have been involved (say, someone had been seen leaving Polly's apartment a certain time before her body was discovered). 18.703 As you are assisting in the investigation, you notice that Polly's apartment has maintained a cozy temperature even though her heat had been turned off and it's a cold winter's day. (Could this be another clue?) One explanation is that her apartment has nice double pane windows, consisting of two glass panes that are each 4-mm thick sandwiching a well-sealed air gap 6-mm thick. In "steady state", the rate that heat flows through a glass pane equals the rate that heat flows through the air gap in the double pane window (otherwise there would be a net heat flow into the air or window, changing its temperature -- whatever flows into one of these materials must flow out to maintain a given temperature). Since the thermal conductivity of still air (0.025 W/(mºC)] is much smaller than the thermal conductivity of glass (0.80 W/(m°C)], the temperature difference across the double pane window is almost entirely over the air gap. (Again, in this steady state, the rate of heat flow through the glass and air are the same for the double pane window, so if the conductivity of air is much smaller than that of glass, the temperature difference across the air must be much larger than that across the glass for these windows.) Considering this, what is the ratio of the rate of heat flow through a cheap window with a single pane of glass 4-mm thick compared to a nicer double pane window with an air gap of 6 mm if the temperature difference across them is the same (and they have the same areas)? Neglect heat leaks at the edges of the windows.
Answers
the ratio between the rate of heat flow through a cheap window with a single pane of glass that is only 4 mm thick to a nicer double pane window with an air gap of 6 mm is 76.6667.
K[tex]_{glass}[/tex]=0.80 W/m°C
K[tex]_{air}[/tex]=0.025 W/m°C
Q=[tex]\frac{\triangle T}{R_{Th} }[/tex]
(R[tex]_{Th}[/tex])[tex]_{double pane}[/tex]×Q[tex]_{double pane}[/tex]=(R[tex]_{Th}[/tex])[tex]_{single pane}[/tex]×Q[tex]_{single pane}[/tex]
(R[tex]_{Th}[/tex])[tex]_{double pane}[/tex]=∑[tex]\frac{l}{KA}[/tex]
= [tex]\frac{3}{0.8A} +\frac{7}{0.025 A}+\frac{3}{0.8 A}\\[/tex]
=[tex]\frac{287.5}{A}[/tex]
(R[tex]_{Th}[/tex])[tex]_{single pane}[/tex]=[tex]\frac{3}{0.8A}[/tex]=[tex]\frac{3.75}{A}[/tex]
[tex]\frac{Q_{single pane} }{Q_{double pane}} =\frac{R_{Th}_{double pane} }{R_{Th}_{single pane}}[/tex]
= 76.6667
Heat flow, also known as heat transfer, is the movement of thermal energy from a region of higher temperature to a region of lower temperature. This occurs due to the random motion of atoms and molecules within a material. There are three main mechanisms of heat flow: conduction, convection, and radiation. Conduction is the transfer of heat through a material by direct contact, while convection involves the movement of a fluid (such as air or water) due to temperature differences. Radiation is the transfer of heat through electromagnetic waves, such as from the sun or a fire. Heat flow is a fundamental concept in thermodynamics and plays a critical role in many fields, including engineering, physics, chemistry, and biology.
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What is/are the energy transformation(s) that take place when using a wind turbine to generate usable energy?.
Answers
The energy transformation that takes place when using a wind turbine to generate usable energy is mechanical-to-electrical.
This is done by converting the kinetic energy of the wind into mechanical energy, which then turns a generator to produce electrical energy. Then, residences and businesses can be powered by this electrical energy. Wind drives the rotor blades of contemporary wind turbines, which transform kinetic energy into rotational energy. Kinetic energy is a particular kind of power that can be present in a moving object or particle. An object can perform work, which involves the transfer of energy, by applying a net force. The effect is that the object accelerates and acquires kinetic energy. Aerodynamic force is used by the rotor blades of a wind turbine, which function similarly to an aeroplane wing or a helicopter rotor blade, to transform wind energy into electricity. The air pressure drops on one side of the blade as the wind passes across it.
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complete question: What is/are the energy transformation(s) that take place when using a wind turbine to generate usable energy?
A) friction- electrical
B) kinetic - mechanical - electrical
C) friction - mechanical - electrical
D) mechanical - friction - electrical
A truck moving across an ice road is spreading sand across the ice. The truck can be considered a closed, isolated system. Which of the following is true? A. The mass of the truck decreases with no change in the velocity of the truck B. The mass of the truck decreases while the velocity of the truck increases. C. The mass of the truck decreases while the velocity of the truck decreases. D.The mass of the truck remains the same while the velocity of the truck remains the same.
Answers
The mass of the truck decreases while the velocity of the truck increases. Option B
What is a closed system?A closed system is a system in which matter cannot enter or leave the system, but energy can be exchanged between the system and its surroundings. In other words, a closed system is isolated from its environment in terms of mass, but not in terms of energy.
Closed systems can be found in many different areas of science and engineering, including thermodynamics, mechanics, and engineering. For example, in thermodynamics, a closed system is a system in which heat can be transferred between the system and its surroundings, but no mass can be transferred. In mechanics, a closed system is a system in which the total momentum of the system remains constant, regardless of any external forces acting on the system.
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• Point A - the instant before the figure drops. It is at rest and the spring is not stretched.
• Point B - an instant when the figure is falling. It is lower than its original position, and
moving downwards, but the spring has not yet begun to stretch.
• Point C - the very last instant for which the figure is falling but the spring has not yet
begun to stretch.
• Point D - an instant when the figure is falling and the spring is stretching.
Point E - the instant at which the figure has reached its lowest position and is
momentarily motionless before rebounding.
Fill out Table 2 below to show how energy is transferred between forms during the
drop. In each box write either Maximum, Zero, Increasing, or Decreasing.
Answers
The magnitude of the GPE depends on the position of the object.
How does the GPE change as the object is falling?Some parts of the question appears to be missing but I will try to answer generally.
As an object falls, its gravitational potential energy (GPE) decreases.
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. The GPE of an object is directly proportional to its mass, the acceleration due to gravity, and its height above a reference level. The formula for gravitational potential energy is:
GPE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the reference level.
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A child is riding on a merry go round. As the speed of the merry go round is doubled, the magnitude of the centripetal force acting on the childa. Remains the sameb. Is quadrupledc. Is doubledd. Is halved
Answers
A youngster is on a merry-go-round. The centripetal force acting on the toddler is quadrupled as the merry-go-speed round's is doubled. So, option B is correct.
What is centripetal force?
Centripetal force is a term used to describe a force that moves a body along a curved path. The centripetal force is always applied in the general direction of the path's instantaneous center of curvature and against the motion of the subject. According to Isaac Newton, it is "a force by which bodies are dragged or forced, or in any other way gravitate, towards a point as to a center." Gravity is the centripetal force that generates astronomical orbits, according to Newtonian mechanics theory.
As, the formula of Centripetal force,
[tex]F=\frac{mv^2}{r}[/tex],
We can see that, F is directly proportional to [tex]v^{2}[/tex], When the speed of the merry-go-round is doubled, the centripetal force acting on the child is multiplied by four.
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what present day conditions could be compared to conditions during the Cretaceous
Answers
Present-day conditions that are similar to the Cretaceous period include a warm climate and high sea levels. However, today's situations are influenced by human activities unlike those in the Cretaceous era.
Explanation:The Cretaceous period was marked by a warm climate, high sea levels, and abundant green life. Some present-day conditions might mirror those of the Cretaceous period. For instance, current issues like global warming and rising sea levels are somewhat akin to conditions in the Cretaceous. Nonetheless, it's crucial to remember that modern situations are influenced by anthropogenic activities, whereas Cretaceous conditions were primarily determined by natural processes.
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Both Josef Loschmidt and Amedeo Avogadro contributed to our understanding of basic molecular numbers sizes reaction ratios. Neither scientist discovered avogadro’s number in the form we use today (6.02 x 10^23). Still, there’s controversy over the name of this number. Research the contributions of these two scientists and how Avogadro’s number got its name. Note the name you think is the number should be called provide key details about each scientist contribution to this concept and give a solid rationale for your case and Namingthe number.
Answers
Avogadro's number, which is equal to [tex]6.02214076 \times 10^23[/tex] Is the quantity of units in one mole of any material (defined as its molecular weight in grams).
What Avogadro’s number in the form we use today?Avogadro made the right assumption that equivalent quantities of gases at the same pressure and temperature contain an equal number of molecules. Avogadro proposed a theory in 1811 that his contemporaries disregarded for many years.
In order to determine how many particles there are in a cubic centimetre of gas under ideal conditions, Loschmidt employed the kinetic molecular theory in 1865. The acknowledged value of this quantity—now known as the Loschmidt constant is [tex]2.6867773 \times 10^25 m-3.[/tex]
Therefore, equal volumes of gases at the same temperature and pressure should contain equal numbers of molecules, as Avogadro rightly theorized. It is [tex]6.02214076 \times 10^23[/tex] Or Avogadro's number.
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ASAP:
6. In magnetic elements, each atom’s magnetic domains are _______________________ which creates a __________________. In nonmagnetic elements, each atom’s domains are ______________________________ so the resulting element _______________________
Answers
In magnetic elements, each atom’s magnetic domains are aligned which creates magnetic force. In nonmagnetic elements, each atom’s domains are pointing in the different directions so, resulting element has nonmagnetic force.
What is magnetic force?Attraction or repulsion that arises between electrically charged particles because of their motion is called magnetic force and it is the basic force responsible for such effects as action of electric motors and also attraction of magnets for iron.
Magnetism is caused by motion of electric charges. Every substance is made up of tiny units called atoms and each atom has electrons, particles that carry electric charges. Spinning like tops, electrons circles the nucleus, or core, of an atom.
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A 400Hz tuning fork is vibrating, producing a sound wave in the
air.
What is the wavelength of the sound wave (in given units)? In centimeters ?
Answers
The wavelength of the sound wave that has a frequency of 400Hz is 7.5 × 10⁵m.
How to calculate wavelength?Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.
It is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency.
According to this question, a 400Hz tuning fork is vibrating, producing a sound wave in the air. The wavelength is calculated as follows:
λ = 3 × 10⁸ ÷ 400
λ = 7.5 × 10⁵m
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In which collision(s) is kinetic energy conserved?
A.Elastic
B.Inelastic
C.Perfectly inelastic
Answers
Answer:
Explanation:
A elastic
The first active volcano observed outside the Earth was discovered in 1979 on Io, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about 3.00×105m
Given that the acceleration of gravity on Io is 1.80m/s2 find the initial velocity of the ejected material.
Answers
The material that was thrown out had an approximate initial velocity of 1.50-10⁵ m/s.
How can the ejected material's initial velocity be determined?The following equation can be used to determine the ejected material's initial velocity under gravity's constant acceleration:
y is equal to v₀ x t x (1/2) a x t₂, where:
The values for y, a, and t are as follows: y is the vertical displacement (height) of the ejected material (3.00 10⁵ m); a is the acceleration caused by gravity on Io (1.80 m/s²); t is the time it takes for the ejected material to reach its maximum height (let's assume it is equal to 2 seconds for simplicity).
3.00×10⁵ m = v₀ ×2 s + (1/2) × 1.80 m/s² × (2 s)²
3.00×10⁵ m = v₀ × 2 s + 1.80 m/s² × 4 s²
3.00×10⁵ m = v₀× 2 s + 7.2 m/s²
v₀ = (3.00×105 m - 7.2 m/s²) / 2 s
v₀ = (3.00×105 m - 7.2 m/s²) / 2 s
v₀ = 1.50×10⁵ m/s
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Two opposite charges of the same magnitude Q = 2x10^-7c are separated by a distance of 15.0cm. What is the magnitude and direction of the force acting on an electron placed at the midpoint
Answers
The direction of the force is along the line joining the two charges, and its magnitude is approximately 1.44 x 10^-12 N.
What is magnitude?Magnitude can be defined as the maximum extent of size and the direction of an object.
The force on the electron can be found using Coulomb's law:
F = k * (q1 * q2) / r^2
where
k is Coulomb's constant (k = 9 x 10^9 N*m^2/C^2)q1 and q2 are the magnitudes of the two charges r is the distance between themF is the magnitude of the forceIn this case, the two charges have the same magnitude Q = 2 x 10^-7 C, so we can write:
F = k * [(Q * -Q) / (0.15 m)^2]
where the negative sign for one of the charges indicates that it has the opposite charge to the other. Simplifying this expression, we get:
F = k * (Q^2 / 0.0225)
F = (9 x 10^9 N*m^2/C^2) * (2 x 10^-7 C)^2 / 0.0225
F ≈ 1.44 x 10^-12 N
Therefore, the direction of the force is along the line joining the two charges, and its magnitude is approximately 1.44 x 10^-12 N.
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(17%) Problem 2: The drawing shows a small sphere of mass m=0.26 g that carries a charge of q = 85 x 10-10 C. The sphere is attached to one end of a very thin silk string of length L = 6.25 cm. The other end of the string is attached to a large vertical conducting plate that has a charge density of o = 30 x 10-6C/m². + + + + + + L m, A 25% Part (a) Write an expression for the magnitude of the electric field due to the charge distribution on the conductive plate. E = 0 Grade Summary Deductions 0% Potential 100% €0 B 0 Y b 0 Submissions Attempts remaining: 20 (% per attempt) detailed view d h ( 789 HOME 1456 1 23 + 0 END VO BACKSPACE GEL CLEAR g k j m n P S Submit Hline Feedback I give up! Hints: for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. Date Submission History All Date times are displayed in Eastern Standard Time Red submission date times indicate late work. Time Answer Hints Feedback 24 25% Part (b) Write an expression for the horizontal component of the net force acting on the charged sphere in terms of the tension T in the string, the electric field, and the given variables. A 25% Part (c) Write an expression for the vertical component of the net force acting on the charged sphere in terms of the tension T in the string and the given variables. 425% Part (d) What is the angle in degrees that the string makes with respect to the vertical?
Answers
θ = 39.7º is the angle in degrees that the string makes with respect to the vertical using Newtons law.
In each exercise, we construct the equations at the equilibrium point using Newton's second law for the sphere. We'll assume that plate 1 is on the left for this exercise.
Y Axis
Y= -W = 0 = W
X axis
X= - F_{e2} + Tₓ = 0
Let's utilize trigonometry to determine the tension's component parts. We gauge the angle in relation to the vertical
sin θ = Tₓ / T
cos θ = T_{y} / t
Tₓ = T sin θ
T_{y} = T cos θ
Gauss's law can be used to determine the electric field of each leaf. Since a cylinder forms a Gaussian surface, the component of the field perpendicular to the cylinder's base is the one containing electric flow.
F = ∫ E. dA
The flow is towards both sides of the plate in this instance, and the scalar product is reduced to the algebraic product.
F = 2E A = q_{int} / ε₀
let's use the concept of surface charge density
σ = q_{int} / A
we substitute
2E A = σ A /ε₀
E = σ / 2ε₀
T cos θ = mg
- q σ₁ / 2ε₀ - q σ₂ /2ε₀ + T sinθ = 0
we introduce t in the second equations
- q /2 ε₀ (σ₁ + σ₂) + (mg / cos θ) sin θ = 0
mg tan θ = q /2ε₀ (σ₁ + σ₂)
θ = tan -1 (q / 2ε₀ mg (σ₁ + σ₂)
data indicates the mass of 0.26 g = 0.26 10⁻³ kg
give the charge density on plate 2, suppose ab = 10 10⁻⁶ C / m²
let's calculate
θ = tan⁻¹ (9.0 10⁻¹⁰ (30 + 10) 10⁻⁶ / (2 (6.25 10⁻¹² *0.26 10⁻³ 9.8))
θ = tan⁻¹ 8.3 10⁻¹)
θ = 39.7º
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Two box of the masses 5 kg and 40 kg are in contact with each other on a frictionless surface. What is the acceleration of the more massive box?
Answers
Answer:ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Explanation:
fill in the balance equation below with the name of missing compuod. The answer the question that follow in the space provided
____ ____ sunlight ____ ___ ____
Answers
The answer to the question that follows in the space provided is
carbon dioxide + water + sunlight = glucose + oxygen.
What is photosynthesis?Green plants produce their food in the presence of sunlight during photosynthesis. The process is only done by autotrophs.
They use carbon dioxide and water, which are inorganic components from the environment, to create glucose, and oxygen gas is released into the atmosphere.
Carbon dioxide + water → Glucose + Oxygen
Therefore, the correct option is
1 carbon dioxide2 water3 glucose4 oxygen gasTo learn more about photosynthesis, refer to the link:
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Which statement describes the difference between a covalent bond and a
hydrogen bond?
OA. A covalent bond forms between two atoms that can share a pair
of valence electrons, while a hydrogen bond forms between two
atoms that can form ions.
OB. A covalent bond forms between electrons and positive ions, while
a hydrogen bond forms between two polar molecules.
C. A covalent bond forms between two atoms that can share a pair
of valence electrons, while a hydrogen bond forms between two
polar molecules.
OD. A covalent bond forms between two polar molecules, while a
hydrogen bond forms between two atoms that can share a pair of
valence electrons.
Answers
A covalent bond forms between two atoms that can share a pair
of valence electrons, while a hydrogen bond forms between two
atoms that can form ions.
When two atoms share valence electrons, do covalent bonds form?
An electron exchange that results in the formation of electron pairs between atoms is known as a covalent bond. Bonding pairs or sharing pairs are the names given to these electron pairs. Covalent bonding is the stable equilibrium of the attractive and repulsive forces between atoms when they share electrons.
Not a covalent link to a hydrogen atom, hydrogen bonding is an unique kind of dipole-dipole interaction between molecules. It comes about as a result of the attraction between two extremely electronegative atoms, such as N, O, or F, and a hydrogen atom that is covalently bound to one of them.
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hellppplpp me on this besties
Answers
The acceleration of the car is 2.5 m/s² to the right.
What is the acceleration of the car?The acceleration of the car is calculated by applying Newton's second law of motion as shown below.
F (net ) = ma
F - Ff = ma
where;
m is the mass of the cara is the acceleration of the carFf is the force of friction of the carF is the applied force of the car3400 N - 400 N = 1200a
3000 = 1200a
a = 3000 / 1200
a = 2.5 m/s² to the right
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What is the mass of a car possessing 15,000 kg*m/s of momentum going a speed of 35 m/s?
A.525000 kg
B.428.6 kg
C.14965 kg
D.0.0023 kg
Answers
Answer: 30,000 kg m/
Explanation: Therefore p=1500*20 = 30,000 kg m/s.
2 Examples of adverse events (AE) include which of the following?
A. Damaged wheelchair.
OB. Anxiety.
C. Decreased blood sodium.
D. Enlarged thyroid on physical examination.
OE. B, C, and D only
OF. All the above are adverse events (AES).
Answers
WRITE ABOUT HOW YOU THINK PEOPLE CAN MAKE CHANGES TO IMPROVE THE
ENVIRONMENT IN THE UNITED STATES
Answers
Environmentally responsible involves more than just avoiding plastic bags; it also means making daily decisions that, quite literally, will determine whether or not we succeed as a species.
What is Enviornment?We can slow the pace of climate change by becoming more aware of how we can reduce pollution, safeguard species, conserve natural resources, and take other steps.
Everyone can make a difference, especially when wise environmental decisions become routine and perhaps even start inspiring others to follow suit.
Even immediate personal advantages can result from acting morally in favor of the future of life on Earth. It can help you express your creativity, become more involved in your community and the wider world, and lead to a healthier living.
Therefore, Environmentally responsible involves more than just avoiding plastic bags; it also means making daily decisions that, quite literally, will determine whether or not we succeed as a species.
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A toy car of mass 50g travels down a smooth incline at 30 degrees to
the horizontal. Calculate:
(a) The net force acting on the car as it rolls down the slope, and
(b) The force of the incline on the car as it travels down the slope.
Answers
The only force causing the car to slide down the incline is the gravitational force component, or "mg sin," because the surface is frictionless (smooth), or Ff = 0.
What is Force?a) F = mg sin θ.
F = 50 * 10−3 9.8 * 1/2
= 0.245 N
If the slope is 30 degrees, the top corner will be 90 30 degrees, and the normal to the vertical force will also be 90 60 degrees, thus we will use mg cos 30 perpendicular to the slope.
b) FN = mg cos θ
= m × g × cos θ
= 50 × 10−3 × 9.8 × cos 30
= 0.43N
Therefore, The only force causing the car to slide down the incline is the gravitational force component, or "mg sin," because the surface is frictionless (smooth), or Ff = 0.
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