A metal ball bearing that has a 41.3 mm circumference weights 8.77 g. the metal has a density of 7.816 g/cm3. The mass of a material per unit of volume is its density.
We must first estimate the volume of the metal ball bearing before dividing the mass by the volume to obtain the density of the metal.
First calculate the radius,
C = 2πr = 41.3mm = 4.13cm
here, we can find the radius,
r = c/2π = 4.13/2π = 0.65cm
to find the volume,
V = 4/3πr³
V = 4/3 π X 0.65³
V = 1.14cm³
now, to calculate density,
m = 8.77g
d = m/v
d = 8.77/1.14
d = 7.6 g/cm³
Finally, by dividing the mass by the volume, we get at the metal's density, which comes to around 7.6 g/cm3.
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A 5. 60 kg bucket of water is accelerated upward by a cord of negligible mass whose breaking strength is 75 N. If the bucket starts from rest, what is the minimum time requiared to raise the bucket a vertical distance of 12 m without breaking the cord
The minimum time required to raise the bucket a vertical distance of 12m without breaking the cord is 2.58s
Given the mass of bucket of water (m) = 5.60kg
The strength acting on bucket is (F) = 75N
The distance bucket is raised (s) = 12m
Let the time taken to raise the bucket = t
So, W = m x g as a force of gravity is always acting on a system.
W = 5.60 x 9.8 such that W = 54.88N
The maximum accelerating force acting on the cord (Fr) = 75 - 54.88 = 20.12N
We know that from Newtons laws of motion F = ma where a is the acceleration and F is the force.
Fr = ma then a = 20.12/5.60 = 3.59m/s^2
Then according to the problem s = ut + 1/2at^2 where u is initial velocity which is 0m/s as at rest initially.
So, s = 1/2at^2 then 12 = 1/2 x 3.59 x t^2
t^2 = 24/3.59 = 6.68
t = 2.58s
Hence the minimum time required to raise the bucket a vertical distance of 12 m without breaking the cord is 2.58seconds.
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waves on a swimming pool propagate at 0.643 m/s. you splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 36.7 s. how far away is the other end?
The other end of the pool is approximately 24.2 meters away.
What is pool?Pool is a game played on a table with six pockets, in which players use a cue stick to hit balls into the pockets. The game is enjoyed by people of all ages, and is especially popular in the United States and Europe.
The other end of the pool is approximately 24.2 meters away. This can be determined using the equation
speed = distance/time
In this case, the speed of the wave is 0.643 m/s, the time is 36.7 s, and the distance is unknown. We can rearrange the equation to solve for the distance:
distance = speed * time
Therefore, the distance is 0.643 m/s * 36.7 s = 24.2 m. This means that the other end of the pool is approximately 24.2 meters away.
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a 1kg rock suspended above water weighs 9.8n when suspended beneath the surface it weighs 7.8 n what is th buoyant force
The buoyant force exerted on the 1 kg rock by the water is 2 N.
The buoyant force is the force exerted by a fluid (in this case, water) on an object that is submerged in it. To find the buoyant force, we need to subtract the weight of the object when it is submerged in the fluid from the weight of the object when it is suspended above the fluid.
The weight of the rock when it is suspended above water is 9.8 N (the weight of the rock is equal to its mass multiplied by the acceleration due to gravity, which is 9.8 m/s²).
The weight of the rock when it is suspended beneath the surface of the water is 7.8 N.
To find the buoyant force, we can use the following formula:
Buoyant force = weight of object above fluid - weight of object below fluid
Buoyant force = 9.8 N - 7.8 N = 2 N
Therefore, the buoyant force exerted on the 1 kg rock by the water is 2 N.
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how do we known the sun rotates
Answer: Through observing the motion of sunspots
Explanation:
Answer:
The Sun spins on its axis once every 27 days. Its rotation had been initially discovered by watching the movement of sunspots. Because the Sun's rotational axis is tilted by around 7.25 degrees first from the direction of the Earth's orbit, humans observe more of the Sun's north pole in September & more of the south pole in March.
A 3. 8-mole sample of an ideal gas is gently heated at a constant temperature of 340 K. The gas expands to 2. 3 times its initial volume. What is the change in the internal energy of the gas? Let the ideal-gas constant R=8. 314 (mol x K)
The change in internal energy of an ideal gas is 826.9 J. Internal energy, represented by the symbol U, is the total energy of a system.
The change in internal energy of an ideal gas can be calculated using the equation:
ΔU = nCΔT
where ΔU is the change in internal energy, n is the number of moles of gas, C is the heat capacity at constant volume, and ΔT is the change in temperature.
Since the heat capacity at constant volume for an ideal gas is (3/2)R, we can use the ideal-gas equation to find the number of moles n = PV/RT = (810^-3 m^3)(101325 Pa)/(8.314 J/molK)(340 K) = 0.965 mol
We know that the volume of the gas expanded to 2.3 times its initial volume, thus the change in volume is 2.3 - 1 = 1.3 times
The change in internal energy can be calculated by using the equation:
ΔU = nCv(ΔT) + nRT ln(Vf/Vi)
where Cv is the heat capacity at constant volume = (3/2)R, T is the temperature, and Vf and Vi are the final and initial volume respectively.
So, ΔU = 0.965 x (3/2) x 8.314 x (340) + 0.965 x 8.314 x 340 x ln(2.3) = 826.9 J
Therefore, the change in internal energy of the gas is 826.9 J.
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In a 24 s interval, 228 hailstones strike a glass
window of area 0. 788 mº at an angle 20° to the
window surface. Each hailstone has a mass of
4g and speed of 8. 3 m/s.
If the collisions are elastic, find the average
force on the window.
Angwar in units of N.
The average force acting on a given area is 21.98 Pa.
What is force?A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction.
Here,
Force = Mass X acceleration = 0.004kg x 9.8. This is when the hailstone is not inclined at an angle.
When the hailstone is inclined at an angle of 45, then the component of force along the glass window will be F =0.004kg x 9.8 x sin20= 0.005kg x 9.8 x 0.707= 0.0357N.
Therefore, total force for the 500 hailstones would be 500x0.0357N=17.85N
This force is acting on an area equal to 0.788m2
Pressure = Force per unit area = 17.32N/0.788m2 = 21.98Pa
The force is acting on an area known as average force is 21.98 Pa.
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the radius of earth is about 6400 km. an 8200 n spacecraft travels away from earth.what is the weight 43200 km above earth's surface?
The weight of an 8200 N spacecraft when it is 43200 km above earth's surface is 136.5 N
The formula for the gravitational force between two objects is:
F = GMm/r²
Where:
G = gravitational constant
M, m = mass of the objects
r = distance between objects.
Notice that the gravitational force is inversely proportional to the square of the distance.
Hence,
F1 : F2 = (r2)² : (r1)²
In this case:
r1 = 6400
r2 = 6400 + 43200 = 49600
The gravitational force between earth and the spacecraft represents the weight of the satellite. Hence,
w1 : w2 = (r2)² : (r1)²
8200 : w2 = 49600² : 6400²
w2 = 136.5 N
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two point charges exert a 5.00 n force on each other. what will the force become if the distance between decreases by a factor of 2 (i.e. distance becomes 1/2 of original)?
Answer:55
Explanation: hope thi heps!
calculate the energy per photon and the number of pho- tons emitted per second from (a) a 100-w yellow lightbulb ( 550 nm) and (b) a 1-kw microwave source ( 1 cm).
(a) Energy per photon is [tex]3.8 x 10^{-19 }J[/tex] and Number of photons per second is [tex]2.63 x 10^{20}[/tex] photons/s.
A 100-W yellow lightbulb emitting at 550 nm has a wavelength of [tex]550 x 10^{-9 }[/tex]meters. The energy per photon can be calculated using the relationship:
Energy per photon = h * c / wavelength
where h is Planck's constant ([tex]6.62607015 x 10^{-34} Js[/tex]) and c is the speed of light (299792458 m/s).
Substitute the values:
Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (550 x 10^{-9} m)[/tex]
Energy per photon = [tex]3.8 x 10^{-19 }J[/tex]
To calculate the number of photons emitted per second, we can use the relationship:
Number of photons per second = Power / Energy per photon
By substituting the values:
Number of photons per second = [tex]100 W / (3.8 x 10^{-19} J)[/tex]
Number of photons per second = [tex]2.63 x 10^{20}[/tex] photons/s
(b) Energy per photon is [tex]2.0 x 10^{-25 }J[/tex] and Number of photons per second is [tex]5.0 x 10^{25}[/tex] photons/s
A 1-kW microwave source emitting at a wavelength of 1 cm has a wavelength of 1 x 10^-2 meters. The energy per photon can be calculated using the same relationship as before:
Energy per photon = h * c / wavelength
Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (1 x 10^{-2} m)[/tex]
Energy per photon = [tex]2.0 x 10^{-25 }J[/tex]
To calculate the number of photons emitted per second, we can use the same relationship as before:
Number of photons per second = Power / Energy per photon
Number of photons per second = [tex]1000 W / (2.0 x 10^{-25} J)[/tex]
Number of photons per second = [tex]5.0 x 10^{25}[/tex] photons/s.
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A 15. 0-cm-long solenoid with radius 0. 750 cm is closely wound with 600 turns of wire. The current in the windings is 8. 00 A. Compute the magnetic field at a point near the center of the solenoid
The windings' current is 8.00 A. A location close to the solenoid's center has a magnetic field of 0.0111 T.
The magnetic field at a point near the center of a solenoid can be calculated using the following formula:
B = (μ₀xnxI) / L
Where:
B is the magnetic field
μ₀ is the permeability of free space, which is 4π x 10^(-7) Tm/A
n is the number of turns per unit length of the solenoid, in turns/m
I is the current flowing through the solenoid, in A
L, length of solenoid
Given the radius of the solenoid as 0.75 cm = 0.0075 m, and the length of the solenoid as 15.0 cm = 0.15 m, the cross-sectional area of the solenoid is:
π*(0.0075 m)² = 1.767 x 10^-5 m²
The number of turns per unit length of the solenoid can be calculated by dividing the total number of turns by the length of the solenoid:
600 turns / 0.15 m = 4000 turns/m
We can now substitute these values into the formula:
B = (4π x 10^(-7) Tm/A) * (4000 turns/m) * (8.00 A) / (0.15 m)
B = 0.0111 T
Therefore, the magnetic field at a point near the center of the solenoid is 0.0111 T.
It is worth noting that this result is valid only when the solenoid is long enough so that its ends do not affect the magnetic field inside. Also, the solenoid is considered as tightly wound and the radius of the solenoid much smaller than the length, so that the magnetic field inside the solenoid is uniform.
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Cedric and Insha solved the same equation using the calculations below.
Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.
Which statement is true about their work?
Cedric is correct because he used the inverse of subtraction and added 4.5.
Cedric is incorrect because he should have subtracted 4.5 from both sides instead of adding.
Insha is correct because she added the opposite if 4.5, which is Negative 4.5, to both sides.
Insha is incorrect because she did not add Negative 1.5 + (negative 4.5) correctly.
Answer:
Explanation:
Cedric is correct because he used the inverse of subtraction and added 4.5
Most geologist think the movement of Earth’s plates are caused by:
A- conduction
B- earthquakes
C- convection currents in the mantle
D- Earth's magnetic field
Most geologist think the movement of Earth’s plates are caused by: convection currents in the mantle. Option C- is the correct answer.
What is convection currents in the mantle?This occurs as a result of differential heating. Lighter (less dense), warm material rises while heavier (more dense) cool material sinks. It is this movement that creates circulation patterns known as convection currents in the atmosphere, in water, and in the mantle of Earth.
These convection currents are in three forms namely:
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A soccer player kicks a ball moving in a straight line
towards the field goal, causing it to accelerate into the field
goal.
O Negative work is done on the ball.
Positive work is done on the ball.
O No work was done on the ball.
O Negative work was done on the field.
When the force applied on the ball causes it o accelerate into the field
goal, Positive work is done on the ball.
option B.
What is work done?
A work is said to be done when an applied force causes a displacement of an object.
Mathematically, the formula for work done is given as;
W = Fd
where;
F is the applied forced is the displacement of the objectThus, when a soccer player kicks a ball moving in a straight line
towards the field goal, causing it to accelerate into the field goal, the work done on the ball is a Positive work.
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cells in the eye detect light
and dark. What word completes the
sentence?
Enter your answer
"Rod cells in the eye detect light and dark." completes the sentence.
What is light?Light is defined as electromagnetic radiation visible to the human eye with wavelengths ranging from 380 to 750 nm. Light is a type of electromagnetic radiation that enables or makes objects visible to the human eye. It's also known as visible radiation to the eye. Light contains photons, which are tiny packets of energy. Lux (lx) (lx) The unit of illumination is the lux, which is equal to one lumen per square metre. The metric equivalent of footcandles is one lux equals 0.0929 footcandles.
Here,
"In the eye, rod cells detect light and dark." completes the sentence.
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What is the equivalent resistance of a number of identical resistances (n), each of resistance (R), when
connected in series?
1)nR
2)R/n
3)n/R
4)n*2R
Answer:
Explanation: It's R/n
what is the boundary condition at a perfectly insulated surface expressed mathematically? (check all that apply.)
The boundary condition at a perfectly insulated surface (at x = 0, for example) can be expressed as [latex] -k frac{partial T(0, t)}{partial x}=0 [/latex]
Thermal InsulationThis node is the default boundary condition for all Heat Transfer interfaces. This boundary condition means that there is no heat flux across the boundary:
and hence specifies where the domain is well insulated. Intuitively, this equation says that the temperature gradient across the boundary is zero. For this to be true, the temperature on one side of the boundary must equal the temperature on the other side. Because there is no temperature difference across the boundary, heat cannot transfer across it. As the default boundary condition, it can be applied only on external boundaries; but when added manually, it can be applied also on interior boundaries.
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a student does an experiment to measure the charge on various drops of oil and collects the data shown. how do the data relate to the claim that the elementary charge has a value of 1.6
The information supports the assertion that the elementary charge has a value of 1.6. All of the values are more than that number, proving the assertion.
Is my phone capable of measuring?Utilizing augmented reality (AR) technology, the Measure app transforms your iPhone into a tape measure. Objects' sizes can be estimated, the measurements of rectangular objects can be automatically determined, and a photo of the measurement can be saved.
An easy measure is what?Simple measurements are those that just employ one kind of unit. hours and minutes To find all three numbers in seconds, we must use the conversion factors, for instance, if we wish to convert 2 hours, 23 minutes, and 12 seconds into seconds.
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Find the density of seawater at a depth where the pressure is 680 atm if the density at the surface is 1030 kg/m3. Seawater has a bulk modulus of 2. 3 × 109 N/m2. Bulk modulus is defined to be
B ≡ rho0 ∆P ∆rhoAnswer in units of kg/m3
The density of seawater at a depth where the pressure is 680 atm is 2576 kg/m3. Bulk modulus is defined to be measure of its resistance to compression.
The bulk modulus of a substance is a measure of its resistance to compression. It is defined as the ratio of the change in pressure to the resulting fractional change in volume. The density of a substance can be affected by changes in pressure. The equation to calculate density at a certain pressure is:
density = density surface x (1 + (bulk modulus x pressure) / (density surface x gravity x height surface))
where density surface is the density of the substance at the surface, bulk modulus is the bulk modulus of the substance, pressure is the pressure at a given depth, gravity is the acceleration due to gravity, and height surface is the height of the surface of the substance.
In the case of seawater:
density = 1030 kg/m3 x (1 + (2.3*10^9 N/m2 x 680 atm) / (1030 kg/m3 x 9.8 m/s^2 x 0))
density = 1030 kg/m3 x (1 + 1.502)
density = 1030 kg/m3 x 2.502
density ≈ 2576 kg/m3
So the density of seawater at a depth where the pressure is 680 atm is approximately 2576 kg/m3.
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Please help me! I will give brainliest! :(
1. Imagine 50 people walking in straight lines in a room. What would happen to the number of
collisions they would have with the walls if they moved to a room half the size of the original
room but walked at the same speed?
2. Imagine 50 people walking in straight lines in a room. If those 50 people start running, what needs to happen in order for the number of collisions they would have with the walls of the room to remain the same?
Please answer #’s 1 and 2
1) They would collide with the walls more frequently
2) They would collide with the walked more frequently
What is the collision?We know that collisions occur when there is a bump of an object against an obstacle. In the case of the scenario that we have here, we have been told that there are 50 people walking in straight lines in a room. If we move the walls to half the size they would collide with the walls more frequently.
In the second case, if the people that were walking in a straight line now begin to run, the chances are that they would collide with the walls more frequently.
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A heat engine of efficiency e that operates between high temperature TH and low temperature TC. What is the range of possible values of e?
The ratio of the engine's work, W, to the heat absorbed from the high-temperature heat source, QH, is the measure of a heat engine's efficiency, or e. In mathematical terms, it looks like:e = W/QH
According to the second law of thermodynamics, the maximum efficiency of a heat engine, also known as the Carnot efficiency, eC, is equal to the difference between the temperatures TH and TC:
eC = 1 - (TC/TH) The Carnot efficiency is the maximum efficiency of a theoretical heat engine, also known as a Carnot engine, which operates between two temperatures TH and TC and is thought to be the most efficient heat engine possible.
Therefore, the following is the range of possible e values for a heat engine operating between TH and TC:
0 e eC = 1 - (TC/TH), indicating that a heat engine's efficiency cannot exceed the Carnot efficiency and cannot fall below 0.
How does Carnot Efficiency work?A heat engine's maximum theoretical efficiency is measured by the Carnot efficiency, after the French engineer Sadi Carnot. The ratio of the heat engine's work to the heat absorbed from the higher-temperature heat source is what is used to define it. It is calculated as follows:
eC is equal to 1 - (TC/TH), where TC is the cold reservoir temperature and TH is the hot reservoir temperature.
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-A 180 kg hippo is riding a bicycle at a speed of 6. 0
m/s. Out of nowhere, a chimpanzee runs out in the
hippo's path and he must slam on his brakes. If the
bicycle's brakes exert a force of 1600 N, how
long will it take to stop the bicycle? _s
A 180 kg hippo is riding a bicycle at a speed of 6. 0 m/s. 0.135 sec will it take to stop the bicycle
Calculating:The kinetic energy of an object can be calculated using the equation:
KE = (1/2) × m × v^2
where m is the mass of the object, v is its velocity.
The work done by the brakes is given by the force of the brakes multiplied by the distance over which the brakes are applied. This can be written as:
W = F × d
As the force of the brakes is equal to the force that opposes the motion of the object and the force is constant, then,
F × d = KE
W = (1/2) × m × v^2
d = (2 × KE) / F
where d is the distance over which the brakes are applied, F is the force of the brakes and m, v are the mass and velocity of the object
Now we can substitute the known values into this equation:
d = (2 × (1/2) × 180 kg × (6 m/s)^2) / 1600 N = 0.81 m
Now we can find the time it takes to stop the bicycle:
t = d / v = 0.81 m / 6 m/s = 0.135 s
So it will take the hippo 0.135 seconds to stop the bicycle using the brakes.
How does kinetic energy work?The energy that an object has when it moves is called kinetic energy. It is equivalent to the amount of work required to propel an object from rest to its current velocity. The following equation can be used to determine an object's kinetic energy:
where v is the object's speed and m is its mass. The joule (J) is the unit of kinetic energy.
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a positive charge is attracted to a negative charge a certain distance away. the charges are moved so that they are twice the distance apart. the force of attraction is
A positive charge and a negative charge held a certain distance apart are released and when they move, the force on each particle increases.
The charge carriers are the positively charged proton and the negatively charged electron. The movement of any of these charged particles constitutes and explained as electric current.
When there are more or fewer protons in an atom than electrons, the substance has an electric charge. Protons have a positive charge on them, while electrons have a negative charge on them. If a substance has more protons than electrons, it is positively charged; if it has more electrons, it is negatively charged.
The SI units for charge can be written as ampere-second or coulomb.
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at what speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1200 kg car traveling at 5.0 m/s ? express your answer to two significant figures and include the appropriate units.
The speed of a bicycle and its rider with a combined mass of 120 Kg is 50m/s.
It is given that a car of mass 1200 kg is traveling at a speed of 5.0 m/s.momemtum of the car = mass × speed
= 1200 × 5
= 6000 kg m/s
It is given that the bicycle and its rider will also be having the momentum same as the car. Therefore, the momentum of the bicycle = 6000 kg m/s.Mass of the bicycle = 120 kg.
momentum of the bicycle = mass × speed
[tex]speed = \frac{6000}{120} \\\\ speed = 50 m/s[/tex]
Therefore, the speed of the bicycle and its rider = 50 m/s
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why is no harm done? why is no harm done? because very little charge is transferred between you and the doorknob. because there is very large voltage between you and the doorknob. because very large charge is transferred between you and the doorknob. because there is very little voltage between you and the doorknob. request answer
There's no harm done because this is really the low current there is and not many electrons transferred between you and the doorknob.
Voltage just says what is the tendency for charges to move. But it's actually the current that does harm to the body, which is the number of charges per second that move.
Electric field is the voltage or the potential difference between two points divided by the distance between them. We can solve this for V by multiplying both sides by d. So V is electric field times distance. We have electric field of about 3 times 10 to the six volts per meter when air starts to have dielectric breakdown and starts conducting and you have a spark. That's times by the separation between your finger and the doorknob which is one millimeter, which is one times 10 to the minus three meters. So the voltage must be about 3,000 volts.And in this case, there is not very many charges, and so no harm done.
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which will reach the spider first: the very slight sound of the impact or the disturbance traveling along the radial thread of the web?
The very slight sound of the impact will reach the spider first, as sound travels faster than the disturbance traveling along the radial thread of the web.
The speed of sound is about 343 meters per second, while the disturbance traveling through the web is much slower.
The spider's ability to detect and react to sound is an important part of its survival, as it allows it to detect predators and other potential threats. Additionally, spiders use sound to communicate with each other and to find potential mating partners.
By understanding how sound travels and how spiders use sound to detect their environment, we can gain a better understanding of how spiders interact with their environment and how they communicate with each other.
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the andromeda galaxy is the closest spiral galaxy a little more than 2 million light-years away. the light we see today from the andromeda galaxy was emitted how long ago?
We observe the Andromeda galaxy as it was 2.5 million years ago since it is around 2.5 million light years away.
We observe the Andromeda galaxy as it was 2.5 million years ago since it is around 2.5 million light years away. The Andromeda galaxy's light was first visible 2.5 million years ago. The Andromeda galaxy may have gotten a few thousand light years nearer to us during those 2.5 million years. While the diameter of the Andromeda galaxy itself is roughly 200 thousand light years, the uncertainty in the 2.5 million light year distance estimate is on the order of 100 thousand light years (simply because estimating the distance to other galaxies is difficult).
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if the earth were of uniform density, what would be the value of g inside the earth at half its radius? (the value of g at the surface of earth is 9.8 m/s2 .) select all that apply 1. 4.9 m/s2 2. 9.8 m/s2 3. 39.2 m/s2 e4. 19.6 m/s
The value of g inside the earth at half of its radius is 4.9 m/s², if the value of g at the surface of the earth is 9.8 m/s².
Let the uniform density of the earth, = ρ
Radius of the earth, = R
We know the relation between the uniform density(ρ) of the earth and the acceleration due to gravity of the earth is as follows:
g = Gρ(4/3)πR
Let the value of acceleration due to gravity at (r = R/2) is g₁.
Then g₁ = Gρ(4/3)π(R/2)
g₁ = (1/2)Gρ(4/3)π(R)
g₁ = (1/2) × g
g₁ = (1/2) × 9.81 = 4.9 m/s²
Hence the correct option is 1.
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What is the elastic potential energy of a spring that has 150.N applied to it to stretch it 5.00m?
a. Us = 750.J
b. Us = 1,880J
c. Us = 375J
d. Us = 150.J
The elastic potential energy of the spring is 375 J. Option C
What is the elastic potential energy?We have to note that the elastic potential energy has to do with the energy that has been stored in the elastic material and it can be released to do work once the spring has been stretched.
It should be noted that we would have that;
The elastic potential energy which we have shown as E is obtained from;
E = 1/2Fx
F = force applied
x = The stretching of the spring
Then
E = 0.5 * 150 * 5
E = 375 J
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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
[tex]S= u t + \frac{1}{2} g t^{2}[/tex]
S = 0 + [tex]\frac{1}{2} g t^{2}[/tex]
1.7 = [tex]\frac{1}{2} 9.8 t^{2}[/tex]
t = 0.589 sec
using law of conservation of momentum, on the horizontal motion
[tex]m_{bullet} \ v_{bullet i} = m_{bullet} \ v_{bullet f} + m_{tin} \ v_{tin}[/tex]
[tex]0.0020 = 0.0020 \ 3 \ 720 + 0.11 \ v_{tin}[/tex]
[tex]v_{tin}[/tex] = 3.273 m/s
S = [tex]v_{tin} \ t[/tex]
= 3.273 m/s * 0.589 s
= 1.93 m
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HELPPPP ASPPP PLEASE THA K YOU
In the transverse wave, point D represents the trough of the wave.
option D.
What is the trough of a wave?A wave two important points point, one curves upwards while the other curves downwards.
The maximum value of upward displacement within a cycle of a wave is known as crest. So the crest is a point on a surface wave where the displacement of the medium is at a maximum.
The maximum value of downward displacement within a cycle of a wave is known as trough.
Thus, from the graph, point A represents crest of the wave while point D represents trough of the wave.
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