The force of gravity depends on the mass of objects and the distance between them. This is true statement.
What is force?Physics defines force as the push or pull that modifies the velocity of a massed object.
The ability to change a body's resting or moving condition is referred to as an external force. There is a magnitude and a direction to it.
You may determine the Force using a spring balance. The SI's measure of force is the Newton.
The force of gravity between two objects is directly proportional to the mass of the object and inversely proportional to the square of the distance between them.
Hence, the force of gravity depends on the mass of objects and the distance between them. This is true statement.
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The radius of the sun is 695,700 km and the mass of the sun is 2x1030 kg. What would the force of gravity be on a 60 kg person "standing" on the surface of the sun? What is the acceleration of gravity at the surface of the sun?
a) The gravitational force is 1.7 * 10^4 N.
b) The acceleration due to gravity is 277 m/s^2.
What is the gravitational force?We know that the gravitational force is the force of attraction that acts in the universe between any two masses that are close to each other. We can see that we have the following information;
Mass of the sun = 2 x 10^30 kg
Mass of the person = 60 kg
Radius of the sun = 695,700 km or 695,700000 m
Force of gravity = Gm1m2/r^2
G = gravitational constant
m1 = mass of the sun
m2 = mass of the person
r = radius of the sun
Hence;
F = 6.67 x 10^-11 * 2 x 10^30 * 60/( 695,700000)^2
F = 8 * 10^21 /4.8 * 10^17
F = 1.7 * 10^4 N
The acceleration due to gravity is gotten from;
g = Gm/r^2
g = 6.67 x 10^-11 * 2 x 10^30/( 695,700000)^2
g = 1.33 * 10^20/4.8 * 10^17
g = 277 m/s^2
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A trout swam at a steady speed for 0.4 minutes. It swam 4,000 centimeters in that time. What was its speed?
So, the trout swam at a steady speed of 166.67 centimeters per second.
To find the speed of the trout, we'll need to divide the distance it swam (4,000 centimeters) by the time it took (0.4 minutes). Since we want the speed in centimeters per minute, we'll first convert 0.4 minutes into seconds to make our units consistent.
Step 1: Convert 0.4 minutes to seconds
0.4 minutes * 60 seconds/minute = 24 seconds
Step 2: Calculate the speed of the trout
Speed = Distance / Time
Speed = 4,000 centimeters / 24 seconds
Step 3: Simplify the calculation
Speed = 166.67 centimeters/second (rounded to 2 decimal places)
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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
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.
suppose there are a million habitable planets in our galaxy, that one in ten are habitable, that one in a thousand planets with life had at some point had an intelligent civilization, and that one in a hundred civilizations that has ever existed is in existence now. given this, how many civilizations are in existence now?
Only one civilization is in existence now. The human civilization that is present on the earth is the civilization that exists in this period of time. It can also exist in the coming future for several centuries.
Earth is the only planet where intelligent civilization can exist. Atmospheric conditions are also not so suitable for life to exist on planets other than earth. The other habitable planets in the galaxies have conditions that can help to persist life. The availability of water and oxygen on the planets gives a trace of a complete package of materials that makes life possible on other planets.
Some of the technological advancements such as building a spacecraft and placing a satellite in space are the areas of searching of life on other planets.
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lab number 14: sudden stops hurt newtons first law
Answer:
you want to know newtons first law here.
Explanation:
An object that is at rest stays at rest or stays in motion.
3. Is converting wood into saw dust a reversible change? Give one reason for your answer
No, conversion of wood to sawdust is an irreversible change, because a block of wood after grounding into sawdust cannot be changed into the same block of wood
Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday. How much did he use in all?
The total amount of flour he used in all is 115kg
What is Addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.
Given that Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday
We would add the kg of flour he used
This would be 67 + 48 = 115kg of flour
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with the flat white light source, what is the relationship between the filter transmittance and the detected distribution?
The relationship between the filter transmittance and the detected distribution can be complex and depends on the specific details of the filter and detection system, as well as the properties of the incident light source.
Transmittance refers to the ability of a material to allow the passage of light or electromagnetic radiation through it. It is a measure of the proportion of incident radiation that is transmitted through the material, expressed as a percentage. The higher the transmittance value, the more light is transmitted through the material.
Transmittance is typically measured using a spectrophotometer, which measures the intensity of light that passes through a sample relative to the intensity of the incident light. The transmittance value is calculated as the ratio of the transmitted light to the incident light, multiplied by 100%. Transmittance is an important parameter in many applications, including optics, photography, and spectroscopy. It is often used to quantify the performance of optical components such as lenses, filters, and windows.
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Convection can occur in which two substances?
Answer: Convection can occur in both fluids (liquids and gases) and, to a lesser extent, in solids.
Explanation:
Convection is a mode of heat transfer that involves the movement of fluid (liquids or gases) due to temperature differences within the fluid. It occurs as a result of the fluid's natural tendency to move from areas of higher temperature to areas of lower temperature.
Convection in Fluids (Liquids and Gases):
In fluids, convection can occur due to the different densities resulting from temperature variations. When a fluid is heated, it becomes less dense, causing it to rise. Conversely, when a fluid is cooled, it becomes more dense, causing it to sink. This creates a cyclical movement within the fluid known as a convection current.
In liquids, examples of convection can be observed in everyday scenarios such as boiling water. As heat is applied to the bottom of a pot, the heated water near the bottom becomes less dense and rises to the top. This movement creates a circulation pattern, transferring heat from the bottom of the pot to the rest of the liquid.
In gases, convection is responsible for various atmospheric phenomena. For instance, during the daytime, the land heats up faster than the adjacent air. The heated air expands, becomes less dense, and rises, creating an upward convection current. This process contributes to the formation of wind and the circulation of heat throughout the atmosphere.
Convection in Solids:
While convection primarily occurs in fluids, it can also manifest to a lesser extent in solids. In solids, heat is mainly transferred through conduction, where energy is passed from one particle to another. However, in some cases, convection-like movements can be observed in solids with free-flowing particles or when there are temperature gradients. An example of this is the convection-like movements observed in the Earth's mantle, where heated material rises and cooler material sinks, contributing to plate tectonics.
To summarize, convection primarily occurs in fluids (liquids and gases) due to the density changes caused by temperature variations. However, in solids with certain conditions, convection-like movements may also be observed.
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Answer:
Convection can occur in fluids, such as liquids and gases.
Explanation:
Convection is a type of heat transfer that happens in fluids such as liquids and gases.
Convection is the process through which heat is transferred by the movement of a fluid. It is based on the idea that as a fluid is heated, it loses density and rises, while a colder fluid descends to take its place. Convection currents are a type of circulatory pattern caused by fluid movement.
Convection may be seen in liquids, for example, while heating a pot of water on a stove. The water in contact with the heat source grows hotter and less dense as heat is supplied to the bottom of the pot. This heated water rises to the surface, while the colder and denser water sinks. Water sinks to the bottom, causing a convection stream to form. This process is repeated, resulting in the diffusion of heat throughout the liquid.
Convection may also occur in gases. For example, as air is heated, it loses density and rises, whereas colder air descends. This phenomena may be seen when heated air rises from a heater or hot air balloons are inflated. Convection currents are formed when air moves due to temperature differences, allowing heat to be transferred.
In summary, convection may occur in both liquids and gases, and it includes the transmission of heat via fluid movement caused by temperature and density variations.
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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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How does she explain the activity of uranium when amounts of this element are changed? how does she describe the activity of uranium when physical changes of state or chemical transformations occur? which summary statement does she make to describe the property of radioactivity?.
Answer:
What to include in the answer:
Results from edg 2022
Explanation:
Did you include this in your answer?
Chemical compounds are active in direct proportion to the amount of uranium in them.
Activity is not destroyed by physical changes of state or chemical transformations.
Radioactivity is an atomic property of matter.
Which force stops the car from moving?
The force of motion
The force of speed
The force of gravity
The force of Friction
Answer:
The force of friction.
Explanation:
Gravity keeps the car on the ground.
Motion Allows the car to move.
The force of speed doesnt make sense.
Friction would cause the car to stop moving.
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
When light passes through the first filter then it will also pass through the second filter. All of the light will pass through both filters.
Polarization:
Polarization is a property applied to transverse waves that specify the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave.
When the axes of the first and second filters are aligned (parallel), then all of the polarized light passed by the first filter is also passed by the second. If the second polarizing filter is rotated, only the component of the light parallel to the second filter's axis is passed.
Therefore all the light will pass through both filters.
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A hockey puck sliding at constant velocity across the ice is
A) is nowhere near being in equilibrium.
B) in equilibrium.
C) nearly in equilibrium.
D) none of the above
A hockey puck sliding at constant velocity across the ice is in equilibrium.
What is velocity?Velocity is a measure of an object's rate of change of position with respect to time. It is a vector quantity, meaning it has both magnitude and direction. Velocity is calculated by dividing the change in position (displacement) by the change in time. In physics, velocity is often used to describe the speed and direction of an object in motion.
For example, a car traveling 60 miles per hour in a northerly direction has a velocity of 60 miles per hour north. The units of velocity can be expressed in meters per second, feet per second, miles per hour, or any other appropriate unit of distance and time. Velocity can change over time due to acceleration or deceleration.
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A hockey puck sliding at constant velocity across the ice is in equilibrium. Thus, the correct option is B.
What is Equilibrium?Equilibrium is a state of balance of the forces between the opposing forces or the actions which are either static, as in a body which is acted on by forces whose resultant force is zero or dynamic, as in a reversible chemical reaction when the rates of reaction in both the directions are equal.
A hockey puck sliding over at a constant velocity across the ice is an example of equilibrium forces. This is because there is no change in velocity of the objects.
Therefore, the correct option is B.
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Help!! I will mark brainliest!! Worth 50 pts!
If 50.0 calories of heat energy are added to 120 grams of copper currently at room temperature (20°C), what will the change in temperature be?
24.6°C
30 °C
4.6°C
20°C
The change in temperature of the copper is 4.6 ⁰C.
What is heat capacity?
The heat capacity of an object is the total quantity of heat needed to raise the entire mass of a substance by 1 kelvin.
Mathematically, heat capacity is given as;
Q = mcΔθ
where;
Q is the quantity of heat in the material = 50 calories c is the specific heat capacity of copper = 0.09 cal/gcΔθis change in temperatureΔθ = Q/mc
Δθ = (50) / (120 x 0.09)
Δθ = 4.6 ⁰C
Thus, the change in temperature of the copper at the room temperature is determined from the heat capacity of copper.
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WILLL GIVE 5 STARS BRAINIEST AND THANKS AND 20 POINTS EACH ANSWER!!!!
A diver performs a dive from a 10 m-platform. She
jumps vertically upwards at 3 m s initially.
Find the time she takes to reach the water surface
Answer:
The time she takes to reach the water from when she jumps off the platform is 1.71 s
Explanation:
According to the equations of motion, we have;
v = u - g·t
v² = u² - 2·g·s
s₁ = u₁·t₁ + 1/2·g₁·t₁²
The given parameters are;
The height of the platform (assumption: above the water) = 10 m
The velocity with which she jumps, u = 3 m/s
The acceleration due to gravity, g = 9.81 m/s²
The height to which she jumps, s, is found as follows;
v² = u² - 2·g·s
At maximum height, v = 0, which gives;
0 = 3² - 2×9.81×s
2×9.81×s = 3² = 9
s = 9/(2×9.81) = 0.4587 m
s = 0.4587 m
The time to maximum height, t, is found as follows;
v = u - g·t
0 = 3 - 9.81×t
9.81×t = 3
t = 3/9.81 = 0.3058 s
The total distance, s₁ from maximum height to the water surface = s + 10 = 0.4587 + 10 = 10.4587 m = 10.46 m
The time to reach the water from maximum height, t₁, is found as follows;
s₁ = u₁·t₁ + 1/2·g₁·t₁²
Where;
s₁ = The total distance from maximum height to the water surface = 10.46 m
u₁ = The initial velocity, this time from the maximum height = 0 m/s
g₁ = The acceleration due to gravity, g (positive this time as the diver is accelerating down) = 9.81 m/s²
t₁ = The time to reach the water from maximum height
Substituting the values gives;
s₁ = u₁·t₁ + 1/2·g₁·t₁²
10.46 = 0·t₁ + 1/2·9.81·t₁²
t₁²= 10.46/(1/2×9.81) = 2.13 s²
t₁ = √2.13 = 1.46 s
Total time = t₁ + t = 1.46 + 0.3058 = 1.7066 ≈ 1.71 s.
Therefore, the time she takes to reach the water from when she jumps off the platform = 1.71 s.
any correct ans guess for 30 pts and brainlist
Answer:
a) ii
b) i
c)iii
d)iii
e) i
f)iii
Explanation:
i hope this will help
Answer:
the answer of b is N and d is mol
A medical research team wants to test a magnetic beacklet which is stapposed to present motion sickaresk. They plan to ram an experiment where particijants ride in a car along a curvy road and messure bow motion sick each person gets. How shoukd the rosearchers set op their experimant to make it a blind stady? How should the researdmers set op thrir experitart to make it a donble blizd study? (Clearly label which part of yoed answer is about blind and which is about double blind.)
To make the study blind, the researchers should randomly assign participants to two groups: one wearing the magnetic bracelet and the other wearing a placebo bracelet without magnetic properties. In a double-blind study, both the participants and the researchers measuring motion sickness should be unaware of which bracelet each participant is wearing.
In a blind study, the researchers aim to eliminate bias by preventing participants from knowing whether they are receiving the actual treatment or a placebo. To achieve this, the research team should randomly assign participants to two groups. One group will wear the magnetic bracelet, while the other group will wear a placebo bracelet that looks identical but lacks any magnetic properties. The participants should not be informed about the nature of the bracelets to ensure unbiased results.
To conduct a double-blind study, both the participants and the researchers who are assessing motion sickness levels need to be unaware of which bracelet each participant is wearing.
This additional measure prevents the researchers from inadvertently influencing the outcome by treating participants differently based on their bracelet assignment. By keeping both the participants and the researchers blind to the bracelet conditions, the study can minimize bias and ensure more reliable results.
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6.A truck drives to a rock quarry at a speed of 20 m/s. The truck takes on a load of
rocks, which doubles its mass, and leaves at the same speed of 20 m/s. Compare the
kinetic energy of the truck as it left the quarry with its kinetic energy on the way to the
quarry. Explain your answer.
Explanation:
The kinetic energy is basically the energy possesses by virtue of a body's motion
1. The truck moving to the quarry
let the mass be x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(x)*20^2
KE=1/2(x)400
KE=200x
2. The truck leaving to the quarry
let the mass be 2x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(2x)*20^2
KE=1/2(2x)400
KE=400x
From the analysis the kinetic energy is a function of mass, doubling the mass doubles the kinetic energy
How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.
Solar constant never change, and hence there is no change in shortwave as well as longwave radiation by the earth's atmosphere
Solar constant is the rate at which the solar energy from the sun intercepts the earth's surface. It's value is 1,338watts per square meter.
Long wave radiation is a type of radiation emitted from earth whose wavelength ranges from 4 to 30 micrometers. While shortwave radiation is the radiant energy which is produced by the sun whose wavelength ranges from infrared to ultraviolet through visible.
We know that solar constant never change (constant), and the amount of shortwave that reaches the earth's atmosphere is called solar constant. As the solar constant does not change, there will be no change in shortwave as well as longwave radiation by the earth's atmosphere.
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When an inductor is attached to a charged capacitor with little resistance between them, what determines the frequency that the voltage and current will oscillate in the simple circuit
When an inductor is attached to a charged capacitor with little resistance between them, the frequency that the voltage and current will oscillate in the simple circuit is determined by the resonant frequency.
Resonance occurs when the frequency of the current in the inductor is the same as the frequency of the voltage across the capacitor. The resonant frequency is determined by the capacitance and inductance values in the circuit, and it can be calculated using the formula f = 1/(2π√LC), where f is the resonant frequency, L is the inductance, and C is the capacitance.
In simple terms, when the energy stored in the capacitor is fully transferred to the inductor, the voltage across the capacitor decreases to zero, while the current through the inductor reaches a maximum value and starts to charge the capacitor in the opposite direction. This back and forth transfer of energy between the inductor and capacitor continues to occur at the resonant frequency, resulting in oscillations in the circuit. So therefore the frequency that the voltage and current will oscillate in the simple circuit is determined by the resonant frequency, when an inductor is attached to a charged capacitor with little resistance between them.
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in order for the average velocity to be different from the avergae speed, what has to be true of the object's motion?
Answer:
ok
Explanation:
Acceleration is defined as the rate of change of velocity.
Acceleration = (Change in velocity) / time taken
Acceleration = (Final velocity - initial velocity) / time
As the object velocity changes by the same amount in each second, it means the acceleration is constant.
a 0.11-kg tin can is resting on top of a 1.7-m high fence post. a 0.0020-kg bullet is fired horizontally at the can. it strikes the can with a speed of 900.0 m/s, passes through it, and emerges with a speed of 720 m/s. when the can hits the ground, how far is it from the fencepost? disregard friction while the can is in contact with the post.
It is 1.93 metres away from the post.
for vertical motion
\(S= u t + \frac{1}{2} g t^{2}\)
S = 0 + \(\frac{1}{2} g t^{2}\)
1.7 = \(\frac{1}{2} 9.8 t^{2}\)
t = 0.589 sec
using law of conservation of momentum, on the horizontal motion
\(m_{bullet} \ v_{bullet i} = m_{bullet} \ v_{bullet f} + m_{tin} \ v_{tin}\)
\(0.0020 = 0.0020 \ 3 \ 720 + 0.11 \ v_{tin}\)
\(v_{tin}\) = 3.273 m/s
S = \(v_{tin} \ t\)
= 3.273 m/s * 0.589 s
= 1.93 m
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what is astral projection
Answer:
Astral projection is a term used in esotericism to describe an intentional out-of-body experience that assumes the existence of a soul or consciousness called an "astral body" that is separate from the physical body and capable of travelling outside it throughout the universe.
Explanation:
Yeah
bilal investigates the effect of the mass of an object on the force needed to move it.
1) Force of friction.
2) Mass of object.
3) Coefficient of friction between the surfaces.
"Friction is a force (F) that opposes relative motion or the tendency of motion between two surfaces in contact."
Friction can be calculated using the formula:
F = μN
where,
μ ⇒ coefficient of friction
N ⇒ normal force between the surfaces
In this case,
The force that will slow down the movement of the block is the force of friction.
The variable that Bilal should change in the investigation is the mass of the object. By changing the object's mass, Bilal can observe how it affects the force needed to move it.
One variable that Bilal must control in the investigation to make the test fair and reliable is the surface on which the block is placed. Keeping the surface the same throughout the contact of the box ensures that the frictional force remains consistent throughout the experiment, allowing Bilal to accurately measure the effect of the object's mass on the force needed to move it.
Hence,
Answers to questions:
1) Force of friction.
2) Mass of object.
3) Coefficient of friction between the surfaces.
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Bilal investigates the effect of the mass of an object on the force needed to move it. He uses the apparatus shown in the diagram.
1) Name the force that will slow down the movement of the block.
2) Name the variable Bilal should change in the investigation.
3) Name one variable that Bilal must control in the investigation to make the test .
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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Provide three examples of situations in which mass is the main factor determining an object's momentum
The three examples of situations in which mass is the main factor determining an object's momentum are, a moving truck, a moving trailer and a rolling block.
What is momentum?Momentum is the product of mass and velocity of an objectP = mv
where;
m is the mass of the objectv is the velocity of the objectThe three examples of situations in which mass is the main factor determining an object's momentum is below;
A moving truck.A moving trailer.A rolling block.The three examples given above shows three objects with heavy mass.
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A baseball is thrown with a speed of 36 meters per second (m/s). What is the distance
from the mound to home plate if the ball takes 0.5 seconds to leave the pitcher's hand
and cross the plate?
72 meters
41 meters
31 meters
18 meters
18 meters
36m/s ÷ 2 = 18 m/s
Answer:
D
Explanation:
Formula
d = r * t
Givens
r = 36 m/s
t = 0.5 sec
Solution
d = r * t
d = 36 * 0.5
d = 18 m/s
information in internet and the information provided in my textbook are contradicting. can someone tell me what exactly is fringe width
Fringe Width is the distance between two maxima of the next order on one side of the central maxima.
The distance between two fringes can be calculated by β=λDd where β represents fringe width, λ represents wavelength, D represents the distance between slit and screen, and represents the distance between two slits. The fringe width depends on the wavelength of light, the distance between the slits, and slit separation.
The bright (constructive interference) fringes are at maximum intensity and the dark (destructive interference) fringes are at minimum intensity. Fringe is the alternating light and dark band that forms due to interference. Fringe width is the distance between two successive bright or dark fringes.
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two long, straight, parallel wires 6.6 cm apart carry currents of equal magnitude i. they repel each other with a force per unit length of 3.1 nn/m. find the current i.
According to the given statement is currents of equal magnitude the current I is 30mA.
What do you mean of Current?Current is the movement of electrical charge carriers, which are frequently electrons or atoms lacking in electrons. Current is frequently represented with the capital letter I. The common unit is the ampere, which is represented by the letter A.
What is current formula?According to Ohm's equation, V = IR, the current flowing through a conductor is proportional to the voltage V and resistance R. I = V/R is an alternate formulation of Ohm's law.
Briefing:Distance, r = 6.6 cm
Force per unit length, = 3.1 nN/m
Current passes, when wire is parallel:
→ I₁ = i₂
We know the relation,
\(\frac{F}{l}=\frac{\mu_0}{2 \pi} \times \frac{I_1 \times I_2}{r}\)
By substituting the values, we get
3.1 × 10⁻⁹ = \(\frac{3 \pi \times 10^{-7}}{2 \pi} \times \frac{I^2}{6.6 \times 10^{-2}}\)
The current will be:
I = 0.030884 A
= 30mA
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