Answer:
Answer:
2 in front of water and 1 in front of oxygen
Explanation:
This question is describing balancing a chemical reaction. A balanced chemical reaction has the same number of atoms of each elements on both the reactant and product side. According to the question, the reactants contains 4 atoms of oxygen. The reactants give rise to water (H20) and O2 in the products side.
This reaction is most likely the decomposition of hydrogen peroxide (H2O2) as follows:
H2O2 (l) ----> H2O (l) + O2(g)
Based on the description, H2O2 will be 2H2O2 as it is said to contain four atoms of oxygen. This means that, in order to have a balanced equation, we must place coefficient 2 in front of water and coefficient 1 in front of oxygen. That is;
2H2O2 (l) ----> 2H2O (l) + O2(g)
Explanation:
Answer:
2 in front of water and 1 in front of oxygen
Explanation:
i took the test and got 100 so it has to be right ;)
One forecasting model was used to forecast demand for a product. The forecasts and the demand are shown in the table below. B Actual Forecast 11 40 41 35 38 3 38 35 33 30 IX Calculate Moan Absolute Deviation (MAD) and Mean Squared Error (MSE). Show all details and use 1 decimal in your answer For the toolbar, press ALT+F10 (PC) or ALT+FN-F10 (Mac). BI V S Paragraph Arial 14px V QUESTION 1 The department manager is using a combination of methods to forecast sales of tonsters at a local department store. The demanders shown in the be Week Actu Demand 11 24 bo 2 bas x III A Using trend projection, calculate foresting values for week and week & Show details of your answer For the toolbar, pro ALT.F10 PC) O ALT.FN.F10 Mac BIS Paragraph Arial 14 Focus Chile we state
The estimated demand for Week 4 is 36.3
MAD(Mean Absolute Deviation) is used to calculate the average difference between forecast values and actual values. It calculates the deviation by taking the absolute value of the difference between actual and forecasted demand. The formula to calculate Mean Absolute Deviation is:
MAD= Sum of| Actual demand - Forecast demand | / number of periods
In the given table, the Actual demand is shown as B and the forecast demand is shown as F.
B Actual Forecast 11 40 41 35 38 3 38 35 33 30
Calculation of MAD:
Actual (B) Forecast (F) |B-F|11 40 29.041 35 5.043 38 0.053 3 35.054 38 3.055 35 0.056 33 3.057 30 3.058 0.0 30.0Total 103.0
The number of periods is 9 as shown in the table.
MAD= 103/9MAD= 11.44
Mean Squared Error (MSE) measures the average squared difference between the actual and forecasted values. The formula for MSE is:
MSE= Sum of (Actual demand - Forecast demand)^2 / number of periods.
Calculation of MSE:
Actual (B) Forecast (F) (B-F)^2 11 40 841 35 25 625 38 0 0 3 35 484 38 0 0 35 33 4 30 0 900Total 2854
The number of periods is 9 as shown in the table.
MSE= 2854/9MSE= 317.1
Therefore, the calculated MAD is 11.44 and MSE is 317.1.
Trend Projection formula is given by:
Y = a + bx
where Y is the estimated demand for a particular period.
a is the Y-intercept
b is the slope of the regression line x is the period number
In the given table, the Week number is shown as X and the Actual demand is shown as Y.
Week number Actual Demand 11 24 22 29
Using trend projection for Week 3, we can calculate the demand as follows:
Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*22 - 1*24)/(2*3 - 1*1) = 20/5 = 4
Intercept (a) = Σy/n - b(Σx/n) =(24+22)/2 - 4(2/2) = 23Y = a + bx = 23 + 4(3) = 35
Therefore, the estimated demand for Week 3 is 35.
Using trend projection for Week 4, we can calculate the demand as follows:
Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*29 - 1*24)/(2*5 - 1*1) = 34/9 = 3.78
Intercept (a) = Σy/n - b(Σx/n) =(24+22+29)/3 - 3.78(2.0) = 21.5Y = a + bx = 21.5 + 3.78(4) = 36.3
Therefore, the estimated demand for Week 4 is 36.3.
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A clock which has brass pendulum beats correctly at 30C will it run faster or slower if temperature increase or decrease
Answer:
We know that the period of a pendulum is written as:
T = 2*pi*√(L/g)
where:
g = gravitational acceleration = 9.8m/s^2
pi = 3.1415...
L = length of the pendulum, in this case, is the length of the brass pendulum.
Now, we know that the brass dilates when the temperature increases.
Then if the temperature increases, the value of L will increase, which means that the period T will also increase, because L is in the numerator of T.
If the period increases the complete motion of the pendulum needs more time, this would mean that the clock will run slower.
If the temperature decreases, the opposite occurs, the value of L decreases, and then the period also decreases, which means that the clock will run faster.
Suppose you calculated the speed of light in an unknown substance to be 4.00x10^8 m/s. How could you tell if you made an error in your calculations
Answer: You could tell if you made an error in your calculations by repeating the steps.
Speed of light is the fastest/maximum in vacuum which is equal to 3 × 10^8 m/s, therefore speed of light through any material equal to 4 × 10^8 m/s is physically and theoretically impossible and therefore incorrect.
Explanation:
thermal energy is transferred between objects only when they have different ______.
Thermal energy is transferred between objects only when they have different temperatures.
The movement of atoms and molecules within a substance is a form of energy known as thermal energy.
When two objects are in contact, or even in proximity, the atoms and molecules in the hotter object collide with those in the colder object.
Because of these effects, a portion of the kinetic energy from the more sizzling object is moved to the colder object, raising the temperature of the previous and bringing down the temperature of the last option.
A material's thermal conductivity — an estimation of how well it moves heat — decides how rapidly heat is moved between various sorts of materials.
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When an ionic compound dissolves like salt, what breaks apart from each other in the water?
Answer:
When ionic compounds dissolve in water, they break apart into the ions that make them up through a process called dissociation. When placed in water, the ions are attracted to the water molecules, each of which carries a polar charge. ... The ionic solution turns into an electrolyte, meaning it can conduct electricity.
The bonds that is present between atoms of ionic compounds break apart when it is dissolved in water.
What happen when ionic compound dissolve in water?When ionic compounds dissolve in water, the ions in the solid separate in the solution because water molecules has polar nature which attracts that ions. The hydrogen of water molecule attracts chlorine of ionic compound whereas hydroxle ion attracts sodium of ionic compound.
So we can conclude that the bonds that is present between atoms of ionic compounds break apart when it is dissolved in water.
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What are the 3 types of POTENTIAL ENERGY?
Answer:
nuclear chemical gravitational
Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which statement correctly describes the changes that will take place in the energy of the system?
Potential energy decreases because movement is in the opposite direction of the magnetic field. This is because when magnets are pulled apart, the magnetic field between them is weakened, thus decreasing the potential energy of the system.
What is magnetic field?A magnetic field is a force field that is created by an electric charge or current. It is a vector field, meaning it has both magnitude and direction. Magnetic fields are generated by electric currents such as those used in electromagnets, and by magnetic materials such as iron. The Earth also generates a magnetic field. Magnetic fields have many uses, including navigation, electric motors, and magnetic storage devices. They are also useful in medical diagnostics and treatments. In addition, they can be used to study the composition of stars and galaxies.
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a 15-kg block is on a frictionless ramp that is inclined at 20° above the horizontal. it is connected by a very light string over an ideal pulley at the top edge of the ramp to a hanging 19-kg block, as shown in the figure. the string pulls on the 15-kg block parallel to the surface of the ramp. find the magnitude of the acceleration of the 19-kg block after the system is gently released?
Hi there!
Since the string is light and there is no friction in the pulley, the acceleration of the system is equal to the acceleration of both blocks.
We can begin by summing the forces of each block:
Block on incline:
- Force of gravity (in the negative direction away from the acceleration)
- Force of Tension
∑F = -M₁gsinФ + T
Block hanging:
- Force of gravity (Positive, in direction of acceleration)
- Force of Tension (Negative, opposite from acceleration)
∑F = M₂g - T
Sum both of these net forces for each block:
∑Fт = -M₁gsinФ + T - T + M₂g
∑Fт = -M₁gsinФ + M₂g
Divide by the mass to solve for acceleration:
\(a = \frac{-M_1gsin\theta+M_2g}{M_1+M_2}\)
Plug in the given values:
\(a = \frac{-(15)(9.81)(sin20)+19(9.81)}{15+19} = 4.002 m/s^2\)
The magnitude of the acceleration of the 19-kg block is 4.0 m/\(s^{2}\).
The 15-kg block is accelerating down the ramp, and the 19-kg block is accelerating up. The string connecting the two blocks is taut, so it must be applying a force to both blocks. The force of the string on the 15-kg block is equal to the force of the string on the 19-kg block.
Let's call the force of the string on the 15-kg block T. We can use Newton's second law to write two equations for the acceleration of the two blocks:
For the 15-kg block: T - mg sin(θ) = 15a
For the 19-kg block: T = 19a
where:
m is the mass of the block
g is the acceleration due to gravity
θ is the angle of the ramp
a is the acceleration of the block
Plugging the second equation into the first equation, we get:
19a - mg sin(θ) = 15a
Solving for a, we get:
a = (mg sin(θ)) / (4m)
= (15 kg * 9.8 m/\(s^{2}\) * sin(20°)) / (4 * 15 kg)
= 4.0 m/\(s^{2}\)
Therefore, the magnitude of the acceleration of the 19-kg block is 4.0 m/\(s^{2}\).
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Give two examples that provide evidence for the presence of terrestrial magnetism?
Explanation:
When a magnetic body is buried inside the earth in North-South direction, it gets magnetized due to the effect of terrestrial magnetism. A freely suspended magnet faces North-South direction.
cuál es la diferencia entre ciencia y tecnología
¿Cuál es la diferencia entre ciencia y tecnología?
La ciencia se refiere al proceso de explorar nuevos conocimientos metódicamente a través de la observación y los experimentos.
La tecnología se refiere al proceso de aplicar el conocimiento científico en aplicaciones prácticas para varios propósitos.
What is the difference between science and technology?
Science refers to the process of exploring new knowledge methodically through observation and experiments.
Technology refers to the process of applying scientific knowledge in practical applications for various purposes.
Why is SI UNIT called decimal system?
Answer:
The metric system is a called a decimal-based system because it is based on multiples of ten. Any measurement given in one metric unit (e.g., kilogram) can be converted to another metric unit (e.g., gram) simply by moving the decimal place.
Explanation:
Hope it helps
a 16 kg cube with sides of length 0.2 meters is released from rest while half submerged in water (density 1000 kg/m3) . what will be the magnitude of its initial accleration?'
Magnitude of the cube's initial acceleration will be 14.715 m/s²
The weight of the cube will act downwards. Because the cube is half submerged, the buoyant force will be equal to the weight of the water displaced by the submerged half of the cube. This can be calculated using Archimedes' principle:
Buoyant force = weight of water displaced
Buoyant force = density of water x volume of water displaced x gravitational acceleration
Buoyant force = 1000 kg/m³ x (0.2 m x 0.2 m x 0.1 m) x 9.81 m/s²
Buoyant force = 392.4 N
The weight of the cube can be calculated using its mass and gravitational acceleration:
Weight of cube = mass x gravitational acceleration
Weight of cube = 16 kg x 9.81 m/s²
Weight of cube = 156.96 N
Because the cube is released from rest, its initial acceleration will be determined by the net force acting on it:
Net force = buoyant force - weight of cube
Net force = 392.4 N - 156.96 N
Net force = 235.44 N
Therefore, the magnitude of the cube's initial acceleration will be:
Magnitude of initial acceleration = net force / mass
Magnitude of initial acceleration = 235.44 N / 16 kg
Magnitude of initial acceleration = 14.715 m/s²
So the magnitude of the cube's initial acceleration will be 14.715 m/s²
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Some department-store windows are slanted inward at the bottom. This is to decrease the glare from brightly illuminated buildings across the street, which would make it difficult for shoppers to see the display inside and near the bottom of the window. Sketch a light ray reflecting from such a window to show how this technique works. (Draw the Picture Please!)
When light from a brightly illuminated building hits the slanted window, the window reflects the light downward and away from the shopper's eyes, reducing the glare and allowing them to see the display inside the store.
Imagine a department-store window that is slanted inward at the bottom. Now, let's suppose that there are brightly illuminated buildings across the street and that light rays from these buildings are entering the window and bouncing off the glass.
Without the slanted window, these reflected rays would likely cause a lot of glare near the bottom of the window, making it difficult for shoppers to see the display inside.
However, because the window is slanted inward at the bottom, the angle at which the reflected light rays bounce off the glass is changed.
Specifically, the angle of incidence (the angle at which the light ray hits the glass) is greater than the angle of reflection (the angle at which the light ray bounces off the glass).
This causes the reflected light rays to be directed more upward, away from the shopper's eyes and thus decreases the amount of glare near the bottom of the window.
In terms of a sketch, imagine a light ray entering the slanted window at a downward angle.
As it hits the bottom of the window, it is reflected upward at a shallower angle than it entered, effectively "bouncing" the glare away from the shopper's eyes.
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What is the speed of sound in air?
Answer:
Around 330 m/s
The speed of sound in air is 343 meters per second
What is an astronomical unit (AU)?
A: the diameter of the Sun
B: the radius of the Sun
C: the average distance between Earth and its moon
D: the average distance between Earth and the Sun
Answer:
D
Explanation:
the AU is the distance between the earth and the sun
Answer:
d
Explanation:
right on edge quiz 2020 :)
What volume of 2. 00 M HCl in liters is needed to react completely (with nothing left over) with 0. 500 L of 0. 500 M Na2CO3
To react completely with 0.500 L of volume of 0.500 M Na2CO3, you would need 0.250 L of 2.00 M HCl.
Write down the balanced chemical equation for the reaction between HCl and Na2CO3:
2 HCl + Na2CO3 → 2 NaCl + H2O + CO2
Determine the stoichiometry of the reaction:
From the balanced equation, we can see that 2 moles of HCl react with 1 mole of Na2CO3.
Calculate the number of moles of Na2CO3:
Given that the volume of Na2CO3 solution is 0.500 L and the concentration is 0.500 M, we can use the formula:
Moles = Concentration × Volume
Moles of Na2CO3 = 0.500 M × 0.500 L = 0.250 moles
Use the stoichiometry to determine the number of moles of HCl needed:
According to the stoichiometry of the balanced equation, 1 mole of Na2CO3 reacts with 2 moles of HCl.
Therefore, to react with 0.250 moles of Na2CO3, we would need 2 × 0.250 = 0.500 moles of HCl.
Convert moles of HCl to volume:
Given that the concentration of HCl is 2.00 M, we can use the formula:
Volume = Moles / Concentration
Volume of HCl = 0.500 moles / 2.00 M = 0.250 L
Convert the volume to liters:
The final answer is 0.250 liters of 2.00 M HCl are needed to react completely with 0.500 L of 0.500 M Na2CO3.
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The can be obtained by using the balanced chemical equation: Na2CO3 + 2 HCl → 2 NaCl + H2O + CO2 Write the balanced chemical equation for the reaction.
Na2CO3 + 2 HCl → 2 NaCl + H2O + CO2
Calculate the number of moles of Na2CO3. Using the formula n = c × V, where n is the number of moles, c is the concentration, and V is the volume, we get:
n = c × V
= 0.500 M × 0.500 L
= 0.250 mol
Calculate the number of moles of HCl required.The balanced chemical equation shows that 2 moles of HCl react with 1 mole of Na2CO3. Hence, the number of moles of HCl required can be calculated as follows
:n(HCl) = 2 × n(Na2CO3)
= 2 × 0.250 mol
= 0.500 mol
Calculate the volume of 2.00 M HCl required.The number of moles of HCl required is 0.500 mol. Using the formula V = n/c, where V is the volume, n is the number of moles, and c is the concentration, we get:
V = n/c
= 0.500 mol ÷ 2.00 M
= 0.250 L
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Travelling waves 1) I want to calculate wave speed. I am given the length of string (30.00 m), frequency (2 Hz), maximum displacement of the end of the string (40 cm), and I am told that the tension is constant. I am also given the time(6s) at which the first wave hits the wall.
The wave speed is 1.6 m/s.
To calculate the wave speed, you can use the formula:
Wave Speed = Frequency * Wavelength
Given:
Frequency (f) = 2 Hz
Length of the string (L) = 30.00 m
To find the wavelength, you can use the formula:
Wavelength = 2 * Maximum Displacement
Given:
Maximum Displacement (A) = 40 cm = 0.4 m
Wavelength = 2 * 0.4 m = 0.8 m
Now, you can calculate the wave speed:
Wave Speed = Frequency * Wavelength
= 2 Hz * 0.8 m
= 1.6 m/s
Therefore, the wave speed is 1.6 m/s.
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Calculate the force on a wire of length 0.1 m carrying a current of 10A if it is
(a) perpendicular
(b) inclined at 300
(c) parallel to a magnetic field of 1 x 10-2 T
(a) The magnetic force experienced by the wire when it perpendicular is 0.01 N.
(b) The magnetic force experienced by the wire when the angle is 30⁰ is 5 x 10⁻³ N.
(c) The magnetic force experienced by the wire when it parallel is 0 N.
What is magnetic force?
The magnetic force experienced by the wire is calculated by applying the following;
F = BIL x sin(θ)
where;
B is the magnetic field strengthI is the current in the wireL is the length of the wireθ is the angle of inclination of the wireWhen the angle of inclination is perpendicular,
F = 1 x 10⁻² x 10 x 0.1 x sin(90)
F = 0.01 N
When the angle of inclination is 30⁰,
F = BIL x sin(θ)
F = 1 x 10⁻² x 10 x 0.1 x sin(30)
F = 5 x 10⁻³ N
When the wire is parallel, the angle is 0⁰,
F = BIL x sin(θ)
F = 1 x 10⁻² x 10 x 0.1 x sin(0)
F = 0 N
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describe periscope.
Answer:
periscope, an optical instrument used in land and sea warfare, submarine navigation, and elsewhere to enable an observer to see his surroundings while remaining under cover, behind armor, or submerged.
Explanation:
A car is driving east at 120. km/h from Toronto to Ottawa. The distance between the two cities is 425.5 km, how long will it take for the driver to reach Ottawa?
Answer:
The time it will take for the driver to reach Ottawa is 3 hours 32 minutes and 45 seconds
Explanation:
The given parameters are;
Speed of the car = 120 km/h
Distance from Toronto to Ottawa = 425.5 km
The formula for speed is given as follows;
Speed = Distance/Time
Therefore, to find the time duration it takes from Toronto to Ottawa, we have;
Time duration = Distance from Toronto to Ottawa/(Speed of the car)
The time duration = 425.5/120 = 3.54583 hours = 212.75 min = 12765 seconds
The time it takes from Toronto to Ottawa while driving at 425.5 km/h = 12765 seconds.
what does a changing magnetic field induce? group of answer choices a constant magnetic field magnetic potential energy a changing electric field a gravitational field
A changing magnetic field induces an electric field according to Faraday's Law of Electromagnetic Induction.
This law states that a time-varying magnetic field will generate an electric field in any nearby conductor, which in turn can cause an electric current to flow.
The amount of the induced electric field is proportional to the rate of change of the magnetic field. In other words, the greater the rate of change of the magnetic field, the stronger the induced electric field will be. This relationship is described mathematically by Faraday's law:
ε = -dΦ/dt
where ε is the induced electromotive force (EMF), Φ is the magnetic flux through a surface, and dt is the time over which the flux is changing. The negative sign in the equation indicates that the induced EMF is in a direction that opposes the change in the magnetic field, in accordance with Lenz's Law.
The phenomenon of electromagnetic induction is widely used in many practical applications, such as electric generators, transformers, and induction motors.
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Which elements should form an ionic bond
___________ furnishes most of the fc to make cars turn in a curve. banking a curve adds to the fc due to the_____________ component of the ____________ force exerted by the road on the car.
Friction furnishes most of the force to make cars turn in a curve. Banking a curve adds to the force due to the gravitational component of the normal force exerted by the road on the car.
When a car turns in a curve, the main force that helps it turn is called friction. Friction is the force that opposes motion between two objects that are in contact with each other. In the case of a car turning in a curve, the friction between the tires and the road helps the car maintain its direction and turn smoothly. Banking a curve refers to the slope of the road that is tilted towards the inside of the curve. This tilt adds to the force that helps the car turn by creating a gravitational component to the normal force that the road exerts on the car. The normal force is the force that acts perpendicular to the road and prevents the car from sinking into the road. The gravitational component of the normal force increases the overall force that helps the car turn, making it easier to maneuver the curve.
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A block of mass 2 kg is attached to a spring whose spring constant is k = 8 N/m. The block slides on an incline with = 37º. If the block starts at rest with the spring in relaxed position, what is the work done by the spring on the block if the block has slid a distance of 0.5 m down the incline? Assume uk = 0.45. (Ans: W = -1)) A crate of mass 10.0 kg is pulled up a rough surface inclined at an angle of 20° with the horizontal. The pulling force is 100 N parallel to the incline and moves the crate with an initial speed of 1.50 m/s. The coefficient of kinetic friction is 0.40 and the crate is pulled 5.0 meters. Determine the work done by the following forces on the crate: a. Gravitational force b. 100-N pulling force C. Friction force
The work done by the spring on the block is -1 Joule.
In the given question, we are given that a block of mass 2 kg is attached to a spring whose spring constant is k = 8 N/m. The block slides on an incline with θ = 37º and uk = 0.45. Also, the block starts at rest with the spring in relaxed position.
We have to calculate the work done by the spring on the block if the block has slid a distance of 0.5 m down the incline.
Using energy conservation, we know that the potential energy of the spring gets converted into kinetic and potential energies of the block in the presence of friction. Therefore, work done by the spring = - change in potential energy of the spring
The work done by the spring on the block can be calculated by finding the change in the potential energy of the spring. Using the formula for the potential energy of the spring, we get:
Potential energy of the spring = \(1/2 k x²\)
where k is the spring constant and x is the displacement of the spring from its relaxed position. Here, the spring is stretched by a distance x = 0.5 m when the block slides down the incline. Therefore, the potential energy of the spring at this position is:
Potential energy of the spring = 1/2 k x²
= 1/2 × 8 × (0.5)²= 1 Joule (approx)
Now, using the work-energy principle, we know that the work done by all the forces acting on the block is equal to the change in its kinetic energy. Therefore, the work done by the spring on the block can be calculated as follows:
Total work done on the block = Change in kinetic energy of the block + Work done by friction
where the change in kinetic energy of the block is given by:
Change in kinetic energy of the block = 1/2 m v²
where m is the mass of the block and v is its final velocity. Here, the block starts from rest, so its initial velocity is zero. Also, we know that the block slides a distance of 0.5 m down the incline. Therefore, the height of the incline is given by:\(h = x sin θ= 0.5 sin 37º= 0.3 m\)
Now, using the conservation of energy, we can write:
Potential energy at the top of the incline = Kinetic energy at the bottom of the incline + Potential energy lost due to friction + Work done by the spring
\(mgh = 1/2 m v² + μk N s\)
- 1 + 1= 1/2 m v² + μk
m g h - 1 + 1
where m is the mass of the block, g is the acceleration due to gravity, μk is the coefficient of kinetic friction, N is the normal force acting on the block, s is the distance moved by the block, and h is the height of the incline. Here, the normal force acting on the block is given by:
N = m g cos θ= 2 × 9.8 × cos 37º= 15.53 N (approx)
Therefore, substituting the given values, we get:
\(2 × 9.8 × 0.3 = 1/2 × 2 × v² + 0.45 × 15.53 × 5 - 1 + 1\)
= 1 × v² + 6.9875 v - 6.37375
where we have taken the positive direction to be downwards.
Solving this equation for v, we get:
v = -1.965 m/s (approx)
Therefore, the change in kinetic energy of the block is given by:
Change in kinetic energy of the block = 1/2 m v²= 1/2 × 2 × (-1.965)²= 3.8385 J (approx)
Finally, substituting the given values, we get:
Work done by the spring = - Change in potential energy of the spring= - 1 J (approx)
Therefore, the work done by the spring on the block is -1 J (approx).
The work done by the spring on the block is -1 Joule.
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what has the greatest effect on refraction?
Answer:
Which eye structure has the greatest effect on light refraction? ... They are the ciliary muscle, which controls the shape of the lens for accommodation, and the iris, the pigmented ring of muscles that regulates the amount of light entering the eye.
Explanation:
2.
The IMA of an inclined plane 8m long and 2m high is ______.
16
4
2
8
Answer:
Explanation:
4
What is meant by the principle of moments
how long does it take to charge a 64-kwh battery from 0 to full using a level 1, 120v charger?
The time required to charge the 64 kwh battery from 0 to full is 45.7 hours.
A level 1 120 V charger supplies a power of 1.4 kW at 20 A.
Since we need to charge a 64 kwh battery with a level 1 120 V charger, the total energy required by the battery is E = 64 kwh.
Since the power rating from the charger is P = 1.4 kW, we know that
energy, E = power, P × time
So, time = energy/power
So, the time required to charge the 64 kwh battery from 0 to full is
time = 64 kwh/1.4 kW
= 45.71 hours
≅ 45.7 hours
So, the time required to charge the 64 kwh battery from 0 to full is 45.7 hours.
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A bicycle wheel, of radius 0.300 m and mass 1.45 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 58.8 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces?
The magnitude of the average torque due to frictional forces is approximately 0.0556 Nm.
To calculate the magnitude of the average torque due to frictional forces, we can use the equation:
τ = I * α
where τ is the torque, I is the moment of inertia, and α is the angular acceleration.
The moment of inertia of the bicycle wheel can be calculated using the formula:
I = 0.5 * m * r²
where m is the mass of the wheel and r is the radius.
Given that the radius (r) is 0.300 m and the mass (m) is 1.45 kg, we can calculate the moment of inertia (I):
I = 0.5 * 1.45 kg * (0.300 m)²
I ≈ 0.1305 kg m²
To calculate the angular acceleration (α), we can use the formula:
α = Δω / Δt
where Δω is the change in angular velocity and Δt is the change in time.
Since the wheel comes to a stop, the change in angular velocity is equal to the initial angular velocity (ωi) since the final angular velocity (ωf) is zero. The initial angular velocity is given as 4.00 rev/s, which can be converted to radians per second:
ωi = 4.00 rev/s * (2π rad/rev)
ωi ≈ 25.13 rad/s
The change in time (Δt) is given as 58.8 s.
Substituting these values into the equation for angular acceleration, we find:
α = (0 - 25.13 rad/s) / 58.8 s
α ≈ -0.426 rad/s²
Finally, we can calculate the torque (τ) using the moment of inertia (I) and the angular acceleration (α):
τ = I * α
τ ≈ 0.1305 kg m² * (-0.426 rad/s²)
τ ≈ -0.0556 Nm
Since the torque is a vector quantity, we take the magnitude of the torque, which is the absolute value:
|τ| ≈ |-0.0556 Nm|
|τ| ≈ 0.0556 Nm
Therefore, the magnitude of the average torque due to frictional forces is approximately 0.0556 Nm or 0.05 Nm (rounded to two decimal places).
The magnitude of the average torque due to frictional forces acting on the bicycle wheel, causing it to come to a stop, is approximately 0.05 Nm.
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When a 10-n object is suspended at rest by two vertical strands of rope, the tension in each rope is?
When a 10 N object is suspended at rest by two vertical strands of rope, the tension in each rope is 5 N.
In this case, we have two ropes supporting the object, and they exert an upward force to counteract the downward force of gravity. Let's assume the tension in one rope is T1 and the tension in the other rope is T2. Since the object is at rest, the forces in the vertical direction must balance each other.
The weight of the object is given as 10 N, and it acts downward. Therefore, the sum of the tensions in the two ropes must equal the weight of the object. Mathematically, we can express this as:
T1 + T2 = 10 N
Since the object is symmetrically suspended, the tension in each rope is equal. Therefore, we can simplify the equation to:
2T = 10 N
By dividing both sides of the equation by 2, we find that the tension in each rope is 5 N.
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