Answer:
20m
Explanation:
The work done by the tractor is given by the formula:
work = force x distance x cos(theta)
where force is the applied force, distance is the distance moved by the object, and theta is the angle between the force and the direction of motion. In this case, we know the force and the work done, but we don't know the distance or the angle.
However, we can use the fact that the work done is also given by:
work = force x distance
We can rearrange this equation to solve for distance:
distance = work / force
Plugging in the values given in the problem, we get:
distance = 20,000 J / 1000 N = 20 meters
Therefore, the tractor moved the rock a distance of 20 meters
You mix 1 glass of water at 20 C and 1 glass of water at 80 C. What will be temperature of mixture
30
40
50
60
Explanation:
When Two Samples of Water are Mixed, what Final Temperature Results?
Go to Mixing Two Amounts of Water: Problems 1 - 10
Go to calculating the final temperature when mixing water and a piece of metal
Worksheet #2
Back to Thermochemistry Menu
Example #1: Determine the final temperature when 32.2 g of water at 14.9 °C mixes with 32.2 grams of water at 46.8 °C.
This is problem 8a from Worksheet #2.
First some discussion, then the solution. Forgive me if the points seem obvious:
1) The colder water will warm up (heat energy "flows" into it). The warmer water will cool down (heat energy "flows" out of it).
2) The whole mixture will wind up at the SAME temperature. This is very, very important.
3) The energy which "flowed" out (of the warmer water) equals the energy which "flowed" in (to the colder water)
This problem type becomes slightly harder if a phase change is involved. For this example, no phase change. What that means is that only the specific heat equation will be involved
Solution Key Number One: We start by calling the final, ending temperature 'x.' Keep in mind that BOTH water samples will wind up at the temperature we are calling 'x.' Also, make sure you understand that the 'x' we are using IS NOT the Δt, but the FINAL temperature. This is what we are solving for.
The warmer water goes down from to 46.8 to x, so this means its Δt equals 46.8 − x. The colder water goes up in temperature, so its Δt equals x − 14.9.
That last paragraph may be a bit confusing, so let's compare it to a number line:

To compute the absolute distance, it's the larger value minus the smaller value, so 46.8 to x is 46.8 − x and the distance from x to 14.9 is x − 14.9.
These two distances on the number line represent our two Δt values:
a) the Δt of the warmer water is 46.8 minus x
b) the Δt of the cooler water is x minus 14.9
Solution Key Number Two: the energy amount going out of the warm water is equal to the energy amount going into the cool water. This means:
qlost = qgain
However:
q = (mass) (Δt) (Cp)
So:
(mass) (Δt) (Cp) = (mass) (Δt) (Cp)
With qlost on the left side and qgain on the right side.
Substituting values into the above, we then have:
(32.2) (46.8 − x)(4.184) = (32.2) (x − 14.9) (4.184)
Solve for x
PLEASE ANSWER THESE FAST
AND CORRECT PLEASE
Which of the following best describes the relationship between frequency and wavelength of electromagnetic waves?
a
b
If the frequency remains constant, the wavelength increases.
The wavelength decreases as the frequency decreases.
The frequency increases as the wavelength decreases.
If the wavelength remains constant, the frequency increases.
С
d
Answer:
The option that best describes the relationship between frequency and wavelength of electromagnetic waves is the third option
c. The frequency increases as the wavelength decreases
Explanation:
The frequency of an electromagnetic wave, 'f', is given by the following formula;
\(Frequency, \, f = \dfrac{Wave \ Speed,v }{Wavelength, \ \lambda}\)
From the above formula, the frequency of an electromagnetic wave is inversely proportional to the wavelength, and therefore, a higher frequency, ('f', to increase), requires a lower wavelength, (λ, decreases)
The correct option is that the frequency of an electromagnetic increases as the wavelength of the wave decrease.
the question is confusing
Alpha particles have highest mass.
Alpha particles are most ionising.
Gamma particles are the most penetrating.
Beta particles are negatively charged.
Gamma particles have the highest speed.
Comparing the three types of ionizing radiation-alpha particles have the greatest mass. Alpha particles have approx 4 times the mass of a proton or neutron and 8,000 times the mass of a beta particle. Ionising power of alpha particle is very high due to double positive charge, large mass as compared to a beta particle. Alpha particles can cause multiple ionisations within a very small distance. Beta radiation is more penetrating than alpha radiation. beta radiation can pass through the skin, but it is absorbed by a few cm of tissue of the body or a few mm of aluminum. Gamma radiation is the most penetrating of the three radiations. Alpha particles are positively charged, while beta particles are negatively charged, and gamma radiation is electrically neutral. Gamma rays are similar to visible light but they have higher energy. Gamma rays are emitted along with alpha or beta particles during radioactive decay.learn more about gamma rays here:
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henry bought 1/4 pound of screws and 2/5 pounds of nails to build a skate board ramp what is the total of the screws and nAils
The total weight of screws and nails that Henry bought to build the skate board ramp is 13/20 pounds.
To find the total weight of screws and nails, we need to add the weight of the screws and the weight of the nails.
Henry bought 1/4 pound of screws and 2/5 pounds of nails, so
Total weight = 1/4 + 2/5 pounds
Total weight = (1 x 5)/(4 x 5) + (2 x 4)/(5 x 4) pounds
Total weight = (5/20) + (8/20) pounds
Now that both fractions have the same denominator, we can add them together,
Total weight = 13/20 pounds
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--The complete question is, henry bought 1/4 pound of screws and 2/5 pounds of nails to build a skate board ramp what is the total weight of the screws and nails?--
If speed is measured in meters per seconds (m/s) and time is measured in seconds, the SI unit of acceleration is m/s2. Imagine you are riding a motorcycle that is accelerating at a rate of 6 m/s2. What is the motorcycle’s speed after three seconds of acceleration?
Answer:
please let me know when you find it
Explanation:
i have the same question and cant find it
Answer:
It’s 5m/s^2
Explanation:
Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move
Option B, C, and E are correct. First principle of motion options that address the issue include Before an item may move, it must be subjected to a net force. The inertia rule is another term for the first principle of Newton's theory of motion.
InertiaNewton's fundamental law holds valid whether or not an object is moving. Newton's first law can be viewed as the law of inertia. It helped us understand that when a body is at rest, it will remain immobile unless an external force is added to it, or that if a body is moving at a constant rate, it will continue to move until an external force is applied to it.Only when a net force is applied will a body move from its resting state. This law is demonstrated whenever a passenger in a car fastens their seat belt. This rule applies to both stationary and moving items. Thus, alternatives B, C, and E are correct.For more information on inertia kindly visit to
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Complete question: Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move?
A. Most planets do not have any inertia, so their motion constantly changes.
B. The force of gravity acts on planets and changes the direction of their motion.
C. Each planet's inertia is constantly changing from one moment to the next.
D. There are no forces acting on the planets as they move in orbits around the Sun.
all frictional forces are considered to be negligible. what distance does the object fall 10 s after it is released from rest?
t=10s (provided in the question)
u=0m/s
the initial velocity is taken as 0 as the body is starting from rest even if it is falling.
s=?
a=-g =-9.8 (acceleration due to gravitation)
Let v be final velocity.
Where 't' represents time, 's' represents distance, 'u' is initial velocity while 'g' is the acceleration due to gravity.
Now using the second equation of Newton's equations of Motion.
s=ut+1/2a\(t^{2}\)
Now putting values into the equation above:
s=(0)(10)+1/2(-9.8)x\((10)^{2}\)
s=0-1/2x9.8x100
s=-4.9x100
s=-490m
That is the distance is 490m where the negative sign represents the direction of the distance towards the earth instead of away from it.
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Which statement best describes what happens during a solar eclipse?
A. The Sun casts a shadow directly on Earth and the Moon.
B. Earth passes directly between the Sun and the Moon.
C. The Moon passes directly between Earth and the Sun.
D. Earth casts a shadow directly on the Sun and the Moon.
Answer: A.
Explanation:
Solar eclipse happens when Sun casts a shadow directly on Earth and the Moon. Option A is correct.
What is solar eclipse?A solar eclipse occurs when the Sun throws a shadow directly on Earth and the Moon.
When the Sun throws a shadow directly on the Earth and the Moon, it is called a solar eclipse.
Hence,option A is correct.
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50. a kangaroo can jump over an object 2.50 m high. (a) calculate its vertical speed when it leaves the ground. (b) how long is it in the air?
Answer:
The easiest way to do this is to realize that the time to fall is the same as the rise time (conservation of energy can easily verify this)
S = 1/2 g t^2 time to fall 2.5 m
t = (5 / 9.8)^1.2 = .714 sec time in air
v = a t = 9.8 * .714 = 7 m/s initial vertical speed
Check:
S = v t - 1/2 g t^2 where v is the initial vertical speed
S = 7 * .714 - 4.9 * .714^2 = 2.5 m total vertical distance traveled
how is frame motion used to measure motion
Answer:
To describe motion accurately and completely, a frame of reference is necessary. frame of reference ( or reference frame) consists of an abstract coordinate system and the set of physical reference points that uniquely fix ( locate and orient ) the coordinate system and standardize measurements within that frame.
Explanation:
The different observations occur because the two observers are in different frames of reference. A frame of reference is a set of coordinates that can be used to determine positions and velocities of objects in that frame; different frames of reference move relative to one another.
The mean free path where commercial aircraft fly (about 30,000 ft) is nearest: a. 0.0076 mmb. 0.0026 mm c. 0.00076 mm d. 0.00017 mm
The mean free path where commercial aircraft fly (about 30,000 ft) is nearest 0.0076 mm. (A)
The mean free path is the average distance a molecule can travel before it collides with other molecules in the atmosphere. This is important for aircraft because collisions with molecules can cause drag on the aircraft and reduce its performance.
At high altitudes, there is less air density, so the mean free path increases. At 30,000 ft, the mean free path is around 0.0076 mm, which is the closest answer to the given options.
This is because the air density at this altitude is much lower than at lower altitudes, so the molecules have a longer distance to travel before they collide.
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1. Through the law of gravity, Newton showed that two objects attracted by gravity actually orbit
around
Otheir common center of mass.
O the object with more mass.
O the object with less mass.
O the center of the larger object.
Please HELPPPP!!! Describe the frequency and wavelength range of this type of electromagnetic wave. IM uses X-Ray which uses Ionizing radiation.
The frequency range of electromagnetic waves of X-ray is 3 ×10¹⁶ Hz to 3 ×10¹⁹ Hz. The wavelength range of electromagnetic waves of X-ray is 0.01 nm t0 10 nm.
What is the electromagnetic spectrum?The electromagnetic spectrum of electromagnetic waves can be described as the range of frequencies of electromagnetic radiation and its wavelengths and photon energies. The electromagnetic spectrum have range from one Hertz to above 10²⁵ Hertz.
The wavelength of electromagnetic radiation lies in between 380 to 760 nm and is detected by the human eye and characterized as visible light.
Electromagnetic waves of each frequency band are known by different names; starting at the low frequency (long wavelength) end of the spectrum these are radio waves, microwaves, infrared (IR), visible light, UV, X-rays, and gamma rays at the high-frequency (short wavelength) end.
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If I am walking towards the rising sun and turns left, on which side will my shadow be? PLEASE ANSWER BY 11.20 AT 8TH FEB 2020....
Answer:
The shadow would be on your left side.
Explanation:Give brainliest if this helped :)
What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
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Man pushes a shopping cart to the right with 93 N of force and travel 23 m to tge right how much work is done on shopping cart ?
If a falling object is covering 50 metre distance in 5 seconds, how much time it will take to cover 72 metres?
Answer:
7.2 seconds
Explanation:
50=5
72=t, criss-cross, t=72 (5)/50
A vector is an example of a physical quantity that a. Includes information about force and mass
A vector is an example of a physical quantity that includes information about force and mass. Thisn.statement is true
In physics, a vector is a quantity that has both magnitude and direction. It represents physical quantities that require both a numerical value and a specific direction to be fully described. Force and mass are two physical quantities that can be represented as vectors. Force is a vector quantity because it has both magnitude and direction. It describes the interaction between two objects and is characterized by its magnitude (measured in units of Newtons) and the direction in which it acts. Forces can be added, subtracted, and manipulated using vector operations.
Mass, although a scalar quantity (having only magnitude), can be associated with a vector through Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Since acceleration is a vector quantity, it implies that the net force acting on an object is also a vector. Hence, a vector is an example of a physical quantity that can include information about force and mass.
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ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
a force of 300n produces pressure of 20 N/m2. On what are is it acting? show your working
Answer:
Explanation:
Given:
F = 300 N
p = 20 N/m²
__________
A - ?
Valid for the area A:
A = F / p
A = 300 / 20 = 15 m²
The train 'A' travelled a distance is f 120 km in 3 hours , Whereas another train 'B' travelled a distance of 180 km in 4 hours . Which train tracelled faster
Answer:
B train!
Explanation:
A train travelled at 40 km/hr. (120/3)
B train traveled at 45 km/hr (180/4)
Answer:
Train B
Explanation:
Let's find each train's speed using the following formula.
\(s=\frac{d}{t}\)
where \(d\) is distance and \(t\) is time.
Train A
Train A travelled a distance of 120 kilometers in 3 hours.
\(s=\frac{d}{t}\\d=120 km\\t= 3hrs\)
Substitute the values into the formula and divide.
\(s=\frac{120km}{3hrs}\\\)
\(s= 40 km/hr\)
Train B
Train B travelled a distance of 180 kilometers in 4 hours.
\(s=\frac{d}{t}\\d=180 km\\t= 4hrs\)
Substitute the values into the formula and divide.
\(s=\frac{180km}{4 hrs}\\\)
\(s= 45 km/hr\)
45 kilometers per hour is greater than 40 kilometers per hour, so Train B travelled faster.
An electric current requires the movement of particles, which could be electrons or ions. A solid ionic substance does not conduct an electric current because the ions are in place in the crystal structure. When dissolved in water, the ions and are therefore free to move. True or false?.
The statement is true. ions are free to move when dissolved in water.
As solids, ionic compounds won't conduct electricity. This is because ions are organized in an ionic lattice, which prevents them from moving freely within a solid. Conduction happens when an ionic substance is dissolved in solution or molten because the ionic lattice is broken, allowing the ions to move about freely. Ionic compounds do not conduct electricity when they are in the solid state because there are no free electrons and no chances for ions to form. Whenever ionic chemicals are melted or dissolved in water, an electric current is produced. The B ions migrate toward the positive electrode in an ionic solution, while the A+ ions migrate toward the negative electrode.
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a pulsed ruby laser emits light at 694.3 nm. for a 14.0-ps pulse containing 3.00 j of energy, fi nd (a) the physical length of the pulse as it travels through space and (b) the number of photons in it. (c) if the beam has a circular cross section 0.600 cm in diameter, what is the number of photons per cubic millimeter?
Number οf phοtοns per cubic millimeter = Number οf phοtοns / (Vοlume in cubic millimetres)
How to find the physical length οf the pulse as it travels thrοugh space?Tο find the physical length οf the pulse as it travels thrοugh space, we can use the equatiοn:
Length = (Speed οf light) x (Time)
(a) First, let's cοnvert the pulse duratiοn frοm picοsecοnds (ps) tο secοnds (s):
14.0 ps = 14.0 × \(10^{(-12)} s\)
The speed οf light is apprοximately 3 × \(10^8\) m/s, but we need tο cοnvert it tο the apprοpriate units tο match the pulse duratiοn. Sο, the speed οf light in picοmeters per secοnd (pm/s) is:
3 × \(10^8\) m/s = 3 × \(10^{14\) pm/s
Nοw we can calculate the length οf the pulse:
Length = (3 × \(10^{14\) pm/s) × (14.0 ×\(10^{(-12)} s\) )
(b) Tο find the number οf phοtοns in the pulse, we can use the equatiοn:
Energy οf the pulse = Number οf phοtοns × Energy per phοtοn
Given that the energy οf the pulse is 3.00 J and the wavelength οf the laser is 694.3 nm, we can calculate the energy per phοtοn using the equatiοn:
Energy per phοtοn = (Planck's cοnstant) × (Speed οf light) / (Wavelength)
Planck's cοnstant is apprοximately 6.626 × \(10^{(-34)\) J·s.
Nοw we can calculate the energy per phοtοn:
Energy per phοtοn = (6.626 × \(10^{(-34)\) J·s) × (3 × \(10^8\) m/s) / (694.3 × \(10^{(-9)\)m)
The number οf phοtοns in the pulse can be fοund by rearranging the equatiοn:
Number οf phοtοns = Energy οf the pulse / Energy per phοtοn
(c) Tο find the number οf phοtοns per cubic millimeter, we need tο knοw the vοlume οf the beam. The vοlume οf a cylinder is given by the equatiοn:
Vοlume = π × (Radius)² × Length
The radius οf the circular crοss sectiοn is half the diameter, sο it is 0.300 cm (οr 0.003 m).
The number οf phοtοns per cubic millimeter can be calculated by dividing the number οf phοtοns by the vοlume οf the beam in cubic millimeters:
Number οf phοtοns per cubic millimetre = Number οf phοtοns / (Vοlume in cubic millimeters)
Let's calculate the results:
(a) The physical length οf the pulse:
Length = (3 × \(10^{14\) pm/s) × (14.0 × \(10^{(-12)\) s)
(b) The number οf phοtοns in the pulse:
Energy per phοtοn = (6.626 × \(10^{(-34)\) J·s) × (3 × \(10^8\) m/s) / (694.3 ×\(10^{(-9)\)m)
Number οf phοtοns = Energy οf the pulse / Energy per phοtοn
(c) The number οf phοtοns per cubic millimeter:
Vοlume = π × (0.003 m)² × Length
Number οf phοtοns per cubic millimetre = Number οf phοtοns / (Vοlume in cubic millimetres)
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Eee A student conducts an investigation to determine how the force of gravity affects different objects dropped from different heights. The student tests each object one time and announces that all objects experienced gravity the same way. What is wrong with the student's reasoning?
Answer:
For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
Explanation:
The force of gravity comes from Newton's second law with the force the universal attraction
F = ma
F = \(G \frac{m_1 M}{(R_e +h)^2}\)
we substitute
\(G \frac{m_1 M}{ (R_e+ h)^2}\) = m₁ a
where Re is the radius of the Earth 6.37 106 m
a = \(G\frac{M}{R_e^2} \ ( 1 + \frac{h}{R_e})^{-2}\)
In general, the height is much less than the radius of the earth, therefore the term ha / Re is very small and we can use a series expansion leaving only the first fears.
(1 + x)⁻² = 1 -2x + \(\frac{2 \ 1}{2!}\) x²
we substitute
a = g₀ (\(1 - 2 \frac{h}{R_e}\) )
with
g₀ = \(G \frac{M}{R_e^2}\)
let's launch the expression.
* For small height compared to the radius of the earth we can neglect the last term
g = g₀
* For height comparable to the radius of the Earth
g = g₀ \((1 - \frac{2h}{Re} )\)
We see that the acceleration of gravity is decreasing.
For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
The student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.
The given problem is based on the concept of gravity and gravitational force. The force of gravity comes from Newton's second law with the force the universal attraction as,
F = ma
\(F=G\dfrac{mM}{(R+h)^{2}}\\\\\\ma = G\dfrac{mM}{(R+h)^{2}}\)
Here, a is the linear acceleration, m is the mass of object, M is the mass of Earth, R is the radius of Earth and h is the height from where the objects will be dropped. Then,
\(a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}\)
In general, the height is much less than the radius of the earth, therefore the term h/ R is very small, hence can be neglected.
\(a = \dfrac{GM}{R^{2}}\\\\a=g = \dfrac{GM}{R^{2}}\)
g is the gravitational acceleration.
For small height compared to the radius of the earth we can neglect the last term as,
a = g
And for the height comparable to radius of Earth,
\(a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}\\\\a=g \times(1+h/R)^{-2}\)
Clearly, the acceleration of gravity is decreasing, for which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
Thus, we can conclude that the student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.
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What is the difference between abiotic and biotic factors?
Answer:
Abiotic referfers to non-living and biotic factors are living or once living
Explanation:
Complete the table.
Write in the correct units that correspond with the letters in the table.
A:
B:
C:
Answer:
A. quart
B. gram
C. Meter
Explanation:
Answer:
A. meter
B. liter
C. pound
Explanation: First kid is not right at all i am
Typical electrical wires in your house are generally made of copper (electron density of 8.47∗1024 electrons per cm3 ) and are usually either 14 gauge (diameter of 1.63 mm ), 12 gauge (diameter of 2.05 mm ), or 10gauge(2.59 mm) wires.
(A) If you have a 14 gauge wire that is carrying the maximum current of 20 , what would be the average drift speed of the electrons in the wire? Tries 1/8
(B) Usinq the averaqe speed you just calculated in Part (A), how much time would it take an electron to travel 8.84 m?
A. The average drift speed of the electrons in the wire is 1.19 x \(10^{-3}\)cm/s.
B. The time it would take an electron to travel 8.84 m is 7.43 x \(10^{5}\)sec
(A) To find the average drift speed of electrons in a wire, we can use the equation:
I = nAvq
Where:
I is the current in Amperes
n is the electron density in electrons per \(cm^{3}\)
A is the cross-sectional area of the wire in \(cm^{2}\)
v is the average drift velocity of electrons in cm/s
q is the charge of an electron, which is 1.6 x \(10^{-19}\) Coulombs
First, we need to find the cross-sectional area of the wire. The formula for the area of a circle is:
A = π\(r^{2}\)
Where:
A is the area of the circle
r is the radius of the circle
Given that the wire diameter is 1.63 mm, we can find the radius by dividing it by 2:
r = 1.63 mm / 2 = 0.815 mm = 0.0815 cm
Now, we can calculate the area:
A = \(π(0.0815 cm)^{2}\) = 0.0209 \(cm^{2}\)
Next, we can rearrange the equation to solve for v:
v = I / (nAq)
Given that the current is 20 A and the electron density is 8.47 x \(10^{24}\)electrons per \(cm^{3}\), we can substitute these values into the equation:
v = 20 A / (8.47 x \(10^{24}\) electrons per cm^3 * 0.0209 cm^2 * 1.6 x \(10^{-19}\) C)
Simplifying the expression:
v = 1.19 x \(10^{-3}\) cm/s
Therefore, the average drift speed of electrons in the 14 gauge wire carrying a maximum current of 20 A is approximately 1.19 x \(10^{-3}\) cm/s.
(B) To calculate the time it would take for an electron to travel a distance of 8.84 m, we can use the formula:
t = d / v
Where:
t is the time in seconds
d is the distance in meters
v is the average drift velocity of electrons in meters per second
Given that the distance is 8.84 m and the average drift velocity is 1.19 x 10^-3 cm/s, we need to convert the velocity to meters per second:
v = 1.19 x \(10^{-3}\) cm/s * 0.01 m/cm = 1.19 x \(10^{-5}\) m/s
Now, we can substitute the values into the formula:
t = 8.84 m / 1.19 x \(10^{-5}\)m/s
Simplifying the expression:
t = 7.43 x \(10^{5}\)s
Therefore, it would take approximately 7.43 x \(10^{5}\) seconds for an electron to travel a distance of 8.84 m.
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a horizontal force of 10 newtons isneeded to keep an object weighing 20 newtons moving at a constant speed. the force of friction between the surface and the object must be
The force of friction between the surface and the object must be equal to 10 N. In order to keep an object moving at a constant speed, the force of friction must be equal to the force applied to it.
In this question, we have given that a horizontal force of 10 newtons is needed to keep an object weighing 20 newtons moving at a constant speed. We need to find the force of friction between the surface and the object. If the object is moving at a constant speed then it is said to be in equilibrium. When an object is in equilibrium then the net force acting on it will be zero. Therefore, the force of friction between the surface and the object must be equal to the force applied to it in order to move it. Mathematically, it can be represented as follows:
The force of friction = Force applied = 10 N. To move any object from its state of rest or to keep it moving, a force is required to be applied. Once the object starts moving, it can be kept moving at a constant speed if the force applied and the force of friction is balanced. The force of friction is defined as the resistance force between two objects when they come in contact with each other. There are different types of frictional forces such as static friction, kinetic friction and rolling friction. When an object is at rest, the force of static friction must be overcome to move the object. Kinetic friction comes into play when an object is already in motion and rolling friction is experienced by the objects that are rolling over the surface. In this question, we have given that a horizontal force of 10 newtons is needed to keep an object weighing 20 newtons moving at a constant speed.
We need to find the force of friction between the surface and the object. If the object is moving at a constant speed then it is said to be in equilibrium. When an object is in equilibrium then the net force acting on it will be zero. Therefore, the force of friction between the surface and the object must be equal to the force applied to it in order to move it. Mathematically, it can be represented as follows: Force of friction = Force applied = 10 N. Hence, the force of friction between the surface and the object must be equal to 10 N. The force of friction between the surface and the object must be equal to 10 N. In order to keep an object moving at a constant speed, the force of friction must be equal to the force applied to it.
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A force of 23.5N is required to set an object with a mass of 11kg in motion on a flat horizontal surface. What is the coefficient of static friction between the object and surface?
The coefficient of static friction between the object and surface, given that a force of 23.5 N is required to set the object in motion is 0.22
How do I determine the coefficient of static friction?Coefficient of friction is defined according to the following formula:
Frictional force (F) = coefficient of friction (μ) × normal reaction (N)
Divide both sides by normal reaction (N)
Coefficient of friction (μ) = Frictional force (F) / normal reaction (N)
μ = F / N
The following data were obtained from the question:
Force applied = 23.5 NMass of object (m) = 11 KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 11 × 9.8 = 107.8 NCoefficient of friction (μ) =?The coefficient of static friction can be obtained as follow:
Coefficient of friction (μ) = Frictional force (F) / normal reaction (N)
μ = F / N
μ = 23.5 / 107.8
μ = 0.22
Thus, we can conclude that the coefficient of friction is 0.22
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