According to the universal law of gravitation, the force due to gravity is a. inversely proportional to the square of the distance between objects.
What is the universal law of gravitation?
Newton's law of universal gravitation states that objects are attracted to each other in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of their distance apart.
The equation that represents this law is;
F = G × M1M2 ÷ r∧2
Where,
F is the gravitational force acting between two objects
M1 and M2 are the masses of the objects
r is the distance between the centers of their masses
G is the gravitational constant.
Thus. according to the universal law of gravitation, the force of gravity is inversely proportional to the square of the distance between objects.
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A boat going from salt water (sg = 1. 03) to fresh water (sg=1. 0) sinks 7. 82cm and after burning 72,730kg of coal rises up by 15. 24cm. Find the original displacement of the boat in seawater in kn
The original displacement of the boat in seawater in km is 7.42 x 10⁻⁵ km.
What is displacement?The shortest path traveled by any particle during its motion.
A boat going from salt water to fresh water sinks 7. 82cm. After burning coal, the boat rises up by 15. 24cm.
Displacement = 15.24 -7.82 = 7.42 cm
1cm = 10⁻⁵ km
So, 7.42 cm =7.42 x 10⁻⁵ km
Thus, the original displacement is 7.42 x 10⁻⁵ km.
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A roller coaster glides from rest from the top of an 80.0 meter hill. What is the speed of the roller coaster at the bottom of the hill?
6.32 m/s
39.6 m/s
12.6 m/s
19.8 m/s
Based on the calculations, the speed of this roller coaster at the bottom of the hill is equal to: B. 39.6 m/s.
Given the following data:
Height = 80.0 meters.
Scientific data:
Acceleration due to gravity (g) = 9.8 m/s².
How to calculate the speed?In accordance with the law of conservation of energy, the potential energy possessed by the roller coaster at the top is equal to the kinetic energy possessed by the roller coaster at the bottom of the hill:
PE = KE
mgh = ½mv²
2mgh = mv²
v = √(2gh)
Substituting the given parameters into the formula, we have;
v = √(2 × 9.8 × 80)
v = √1,568
Speed, v = 39.6 m/s.
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Are there conditions under which the incident light ray undergoes reflection but not transmission at the boundary? if so, then what are those conditions?
Total internal reflection causes light to be completely reflected across the boundary between the two media but not transmitted.
What is total internal reflection?The term total internal reflection occurs when light is moving from a denser to a less dense medium such as from glass to air. This phenomenon occurs at the interface between the two media.
There are two conditions necessary for total internal reflection and they are;
1) Light must travel from a denser to a less dense medium
2) The angle of incidence in the denser medium must be greater than the critical angle.
Total internal reflection causes light to be completely reflected across the boundary between the two media but not transmitted.
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A very thin plastic rod of length is rubbed with cloth and becomes uniformly charged with a total charge of . Consider an arbitrary piece of rod of length located at a position on the rod. Find an expression for the electric field due to an arbitrary source location at observation location on the x-axis, a distance to the right of the end of the rod as indicated. Next, integrate to find the total electric field caused at by the entire rod. Use for Coulomb's constant
The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Expression for the electric fieldAn expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;
E = kq/r²
where;
k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]
Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
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A 500 N weight is hung at the middle of a rope attached to two buildings at the same level. If the breaks in the tension exceed 1800 N, what is the minimum angle the rope can make with the horizontal?
Not sure what you mean by "breaks in the tension" but I suspect you mean the rope will come apart if the tension in the rope exceeds 1800 N.
In the free body diagram for the 500 N weight, we have a figure Y with the net force equations
• horizontal net force:
∑ F[hor] = T₁ cos(θ) - T₂ cos(θ) = 0
• vertical net force:
∑ F[ver] = T₁ sin(θ) + T₂ sin(θ) - 500 N = 0
From the first equation, it follows that T₁ = T₂, so I'll denote their magnitude by T alone. From the second equation, we have
2 T sin(θ) = 500 N
and if the maximum permissible tension is T = 1800 N, it follows that
sin(θ) = (500 N) / (3600 N) ⇒ θ = arcsin(5/36) ≈ 7.9°
is the smallest angle the rope can make with the horizontal.
What can you infer about the changes in the environment over time at the mystery fossil dig site? Record your inferences in the spaces provided.
Describe the environment in Egypt before the mystery fossil organism emerged.
the fossil informed us about the climatic and geographical changes that occurs in the environment over time.
What the mystery fossil dig site informed us about environment?We can infer about the climate and geographical changes in the environment over time at the mystery fossil dig site because the fossil provides us information about the climatic condition as well as the geography of land when this fossil organism were alive.
So we can conclude that the fossil informed us about the climatic and geographical changes that occurs in the environment over time.
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The earth’s orbit around the sun is elliptical. What does this word mean?.
Answer:
An elliptical orbit is the revolving of one object around another in an oval-shaped path called an ellipse. The planets in the solar system orbit the sun in elliptical orbits. Many satellites orbit the Earth in elliptical orbits as does the moon.
why is it difficult to climb on a mountain through vertical path than a curved path
Answer: For less steep slope, less power is needed by the vehicle. The concept is that it will be easier for one to exert less control and that too for a more extended period. So the roads of the mountains are always made curvy and not straight.
A 740 kg car traveling 19 m/s comes to a complete stop in 2.0 s. What is the force exerted on the car during this stop?
Answer:
Force exerted on the car is 7030 N.
Explanation:
It is given that,
Mass of the car, m = 740 kg
Initial speed of the car, u = 19 m/s
Final speed of the car, v = 0
Time taken, t = 2 s
Let F is the force exerted on the car during this stop. We know that it is equal to the product of force and acceleration. Mathematically, it is given as :
F=m\times \dfrac{v-u}{t}F=m×tv−u
F=740\times \dfrac{0-19}{2}F=740×20−19
F = -7030 N
So, the force exerted on the car during this stop is 7030 N. Hence, this is the required solution.
A 84-kg man stands on a bathroom scale inside an elevator. the scale measures in units of newtons. (a) the elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. what does the scale read during this 1.50 s interval
Answer:
94 kg
Explanation:
The mass registered by the scale is based on the assumption that the force applied is due entirely to gravity. If the force is greater, then the indicated mass will be greater.
__
how many g'sAs a fraction of the acceleration of gravity, the elevator's acceleration is ...
(1.2 m/s²)/(9.8 m/s²) ≈ 6/49
net forceThe force required to produce a given acceleration is found by the formula ...
F = ma . . . . . . . force on mass m to produce acceleration 'a'
When the man is stationary on the scale, the upward force it supplies is balanced by the downward force on the man due to gravity. The force and the mass are proportional, and the constant of proportionality (the acceleration due to gravity) is used to calibrate the scale. More force is thus translated to a higher mass reading.
Since the man's net acceleration is upward at the rate of 6/49×g, the total force applied by the scale is (1 +6/49) = 55/49 times as great as when the man is stationary. This greater force gets translated to a greater mass reading.
The force is equivalent to what would be required to support a stationary man with a mass of ...
(84 kg)(55/49) = 94 2/7 kg
The scale would read about 94 kg during the upward acceleration period.
How does the value of gravity vary as you go:
i. above the earth surface?
ii. below the earth surface?
Answer:
Gravity changes with altitude. as we know The gravitational force is proportional to 1/R2, where R is your distance from the center of the Earth.
eg. The radius of the Earth at the equator is 6400 kilometers.
Let's say you were in a jet at the equator that was 40 kilometers high above the earth's surface.
may be helpfull
What is the most likely outcome? it will become a permanent magnet because the domains will remain aligned. it will become a temporary magnet because the domains will remain aligned. it will become a permanent magnet because the domains will easily realign. it will become a temporary magnet because the domains will easily realign.
The likely outcome when a magnetically soft material is placed in a strong magnetic field is that it will become a temporary magnet because the domains will easily realign.
What is a magnet?A magnet is a material whose magnetic domains are properly aligned. These materials are able to attract other materials that are magnetizable.
Hence, the likely outcome when a magnetically soft material is placed in a strong magnetic field is that it will become a temporary magnet because the domains will easily realign.
Missing parts:
A magnetically soft material is placed in a strong magnetic field. What is the most likely outcome?
a. It will become a permanent magnet because the domains will remain aligned.
b. It will become a temporary magnet because the domains will remain aligned.
c. It will become a permanent magnet because the domains will easily realign.
d. It will become a temporary magnet because the domains will easily realign.
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Answer: D or It will become a temporary magnet because the domains will easily realign.
Explanation: Taking the quiz!
I just need the formula solved
Answer:
55 kg
Explanation:
Formula :
Force = mass × acceleration
=========================================================
Given :
⇒ Force = 220 N
⇒ acceleration = 4 m/s²
===========================================================
Solving :
⇒ 220 N = mass × 4 m/s²
⇒ mass = 220/4
⇒ mass = 55 kg
Calculate the power of a person that does 8kJ of work in 4 hours
[tex]\text{Power,}~ P = \dfrac{\text{Work done}}{\text{Time}}\\\\\\~~~~~~~~~~~~~=\dfrac{8 \times 1000~J}{4 \times 3600~ s}\\\\\\~~~~~~~~~~~~~~=\dfrac{80}{144}\\\\\\~~~~~~~~~~~~~~=0.56~ W[/tex]
Answer:
Explanation:
Energy used is power multiplied by time.
Power is energy used divided by time
8 kj is 8000 j
4 hours is 240 minutes
240 minutes is 14400 seconds
8000j divided by 14400 is 0.55 recurring, measured in watts
A model train running on an inclined track is part of a closed system that has
316 J of mechanical energy. If the kinetic energy of the train decreases from
314 J to 250 J, what happens to the gravitational potential energy of the
system?
A. It decreases from 66 J to 2 J.
B. It decreases from 316 J to 314 J.
SMIT
OC. It increases from 2 J to 66 J.
D. It increases from 316 J-to 564 J.
If the kinetic energy of the train decreases from 314 J to 250 J, the gravitational potential energy of the system It increases from 2 J to 66 J.
What is conservation of mechanical energy?The principle of conservation of mechanical energy states that the total mechanical energy of a system is always constant. This means that the sum of the potential and the kinetic energy does not change.
Thus, if the kinetic energy of the train decreases from 314 J to 250 J, the gravitational potential energy of the system It increases from 2 J to 66 J.
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The diameter of the Earth is 12.7 x 10 6 m. The diameter of Mars is 6800 km.
The difference in the diameters of the two planets is:
Answer:
5.9 × 10⁶m
Explanation:
The diameter of the Earth is 12.7 ×10⁶m.We have to convert the diameter of the mars in the same exponent as that of the earth so that we can easily subtract.The diameter of mars = 6800km = 6800 × 10³ m = 6.8 × 10⁶mNow we can subtract the diameters.The difference between the diameters = (The Diameter of Earth - The diameter of Mars)= 12.7×10⁶ - 6.8 × 10⁶
= 5.9 × 10⁶m
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What happens to the cost of goods when inflation increases?
OA. The cost of goods decreases.
B. The cost of goods increases.
OC. The cost of goods stays the same.
OD. The cost of goods varies.
Answer:
The answer is B
Explanation:
Generally speaking, a company selling goods during periods of inflation will see an increase in its cost of goods sold.When inflation increases, the cost of goods increases. The correct option is B.
Generally speaking, inflation raises the price of products sold. The price of producing and purchasing those things rises together with the prices of goods and services owing to inflation.
This can be attributable to elements like escalating manufacturing costs, rising input costs, and shifting dynamics of supply and demand.
As a result, companies might need to modify their pricing plans to take inflation-related cost increases into account, the cost of goods typically increases when inflation occurs.
Thus, the correct option is B.
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Which statement describes the magnetic field inside a bar magnet?
O It points from north to south.
• It points from south to north.
O It forms loops inside the magnet.
• There IS no field within the magnet.
The statement that describes the magnetic field inside a bar magnet is as follows: it points from north to south.
What is a bar magnet?A bar magnet is a permanent magnet of rectangular shape.
A magnet generally possess a magnetic field, which is a condition in the space around a magnet which there is a detectable magnetic force and the presence of two magnetic poles.
A bar magnet like every other magnet possesses a magnetic field that points from the north pole to the south pole.
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There are uniform cubes in a toy box, a child makes a pillar using these cubes on a rough plane which is inclined to the horizontal at angle theta. The cubes do not slide on each other. If tan theta = 1/8, the max no. of cubes that can be stacked is,
A. 4
B. 5
C. 8
D. 16
Please explain the methods of obtaining the ans . Will mark the brainliest for the best ans
The maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
Net force on the box
The net force on the box can be used to determine the maximum number of cubes that can be stacked without sliding.
The stack cubes must be at equilibrium.
∑Fx = 0
nW - μFₙ = 0
where;
n is number of the cubesFₙ is the normal force of the cubesW is the weight of the cubes acting parallel to the planen(mg)sinθ - μmgcosθ = 0
n(mg)sinθ = μmgcosθ
nsinθ = μcosθ
let the coefficient of friction = 1nsinθ = cosθ
n = cosθ/sinθ
n = 1/tanθ
n = (1)/(1/8)
n = 8
Thus, the maximum number of cubes that can be stacked on the inclined plane without sliding is determined as 8.
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To help you rank the reactivity of the three metals you will be creating atomic charge models for each of the elements. You may use the periodic table as a model to help you complete these individual models.
1. Complete the atomic charge models to show the charged substructure of sodium, magnesium and potassium.
Metals tend to readily lose electrons and form cations. Most of them react with atmospheric oxygen to form metal oxides. However, different metals have different reactivities towards oxygen (unreactive metals such as gold and platinum do not readily form oxides when exposed to air
For sodium
Nucleus =11+Core electrons=10-Valence electrons=1-For Magnesium
Nucleus=12+Core electrons=10-Valence electrons=2-For potassium
Nucleus=19+Core electrons=18-Valence electrons=1-
(42)What is the speed of sound in air at a temperature of 15°C?
Answer:
340 m/s
At the temperature of 15 degrees Celsius, the velocity of sound is about 340 m/s in air.
how can geo thermal energy be used ?
Answer:
Geothermal energy can heat, cool, and generate electricity: Geothermal energy can be used in different ways depending on the resource and technology chosen—heating and cooling buildings through geothermal heat pumps, generating electricity through geothermal power plants, and heating structures through direct-use
Explanation:
geothermal energy, form of energy conversion in which heat energy from within Earth is captured and harnessed for cooking, bathing, space heating, electrical power generation, and other uses. Heat from Earth's interior generates surface phenomena such as lava flows, geysers, fumaroles, hot springs, and mud pots.
Base your answers to questions 27 through 30 on the information below and on your knowledge of physics.
The Great Nebula in the constellation Orion consists primarily of excited hydrogen gas.
The electrons in the atoms of excited hydrogen have been raised to higher energy levels. When these atoms release energy, a frequent electron transition is from the excited n = 3 energy level to the n = 2 energy level, which gives the nebula one of its characteristic colors.
27 Determine the energy, in electronvolts, of an emitted photon when an electron transition from n=3 to n = 2
occurs.
28 Determine the energy of this emitted photon in joules.
29 Calculate the frequency of the emitted photon. [Show all work, including the equation and substitution with units.]
30 Identify the color of light associated with this photon.
27. The energy , in electronvolts, of an emitted photon when an electron transition from n=3 to n = 2 is -1.89 eV.
28. The energy of this emitted photon in joules is -3.0278 x 10⁻¹⁹ Joules.
29. The frequency of the emitted photon is 4.572 x 10¹⁴ Hz.
30. The color of light associated with this photon is Red.
What is frequency?It is the number of oscillations per second of the sinusoidal wave.
Given is the Great Nebula in the constellation Orion consists primarily of excited hydrogen gas.
The electrons in the atoms of excited hydrogen have been raised to higher energy levels. When these atoms release energy, a frequent electron transition is from the excited n = 3 energy level to the n = 2 energy level, which gives the nebula one of its characteristic colors.
27. The energy of transition between n = 3 to n = 2 is
E = R h e (1/n₁² - 1/n₂²)
where R = Rydberg constant and h = Planck's constant.
Substitute the values, we get
E = 1.0974 x 10⁻⁷ x 6.626 x 10⁻³⁴ x 1.6 x 10⁻¹⁹ (1/3² - 1 /2²)
E = -1.89 eV
28. Energy in joules can be obtained by multiplying 1.6 x 10⁻¹⁹ . So we have
E = -1.89 eV x 1.6 x 10⁻¹⁹ J/eV
E = -3.0278 x 10⁻¹⁹ Joules
29. Wavelength associated with the photon emitted is
1/λ = R (1/n₂² - 1/n₁² )
Substitute the values, we get
1/ λ = 1.524 x 10⁶ /m
The frequency is related to the wavelength as
f = c/λ where c = speed of light
f = 3 x 10⁸ x 1.524 x 10⁶
f = 4.572 x 10¹⁴ Hz
30. The color of light associated with the photon of calculated frequency is Red.
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Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?
Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.
How to determine the more expensive?Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:
Energy consumption = power × time
For the electric saw, we have:
Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,200 × 20
Energy consumption = 24,000 Joules.
For the electric sander, we have:
Power = 1000 Watts.Time = half-hour = 30 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,000 × 30
Energy consumption = 30,000 Joules.
Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.
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Answer: sanding
Explanation:
Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.
Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.
The sander uses more energy.
A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
school bag of mass 10 kg. He throws the bag directly forward at 20 m/s relative to the
ground. Calculate the boy's speed after throwing the bag forward?
Answer:
6m/s
Explanation:
the original momentum = mass x velocity = 8x (60+10) = 560
momentum after = mass x velocity of the school bag + mass x velocity of the boy = 10x20 + 60x A
200+60A = 560
A=6
Which word is described by this statement? This is the top of the volcano where sulfur-filled gasses and lava come out.
Answer:
I believe it is crater.
A machine is used to convert heat energy into work energy, and is connected to a cooling system which keeps the machine at a constant temperature. If 2000 kJ of heat energy enter the machine, and the machine performs 700 kJ of work,
how much heat energy must still be removed by the cooling system?
Remember What the law of Conservation of energy says about the total energy before and after a transformation.
The amount of heat energy that must still be removed by the cooling system is 1300 kJ.
Conservation energyThe total energy before and after a transformation must be equal.
Based on this principle, the heat energy that must still be removed by the cooling system is calculated as follows;
Input heat energy = out put heat energy
E = h + w
2000 kJ = h + 700 kJ
1300 kJ = h
Thus, the amount of heat energy that must still be removed by the cooling system is 1300 kJ.
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You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere. If the pressure at the surface is 1000 mb, what is the most reasonable approximation of the pressure at the summit (top of the mountain)?
You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere, the pressure at the summit is mathematically given as
P= 250mb
What is the most reasonable approximation of the pressure at the summit (top of the mountain)?Generally, the equation for pressure at the summit is mathematically given as
P= (100-75) * pressure at the surface
Therefore
P= (25/100) x 1000
P= (0.25 x 1000)mb
P= 250mb
In conclusion, the pressure at the summit
P= 250mb
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A pulley system is used in an auto repair shop to lift a 200 kg engine block 1.5 m out of a car. The lower pulley is attached directly to the engine block, and there are 8 strands of rope attaching the lower pulley to the upper pulley. The repairman pulls through 12 m of rope in the process of lifting the engine block. How much work is done during this process
For a pulley system is used in an auto repair shop to lift a 200 kg engine block 1.5 m out of a car, work is done during this process is mathematically given as
w=3000J
What is the work is done?Generally, the equation for work done is mathematically given as
W=mgh
Therefore
W=200*10*1.5
w=3000J
In conclusion, work done
w=3000J
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A locomotive (toy) travels at a velocity of 25 m/s for 10 s, then at 10 m/s for 5 minutes. What is the total distance covered?
A).3250m B). 4257 m C). 5200 D). The answer is not given
The total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
What is the total distance covered?Note that: Speed/velocity is distance traveled per unit time.
Speed = Distance ÷ time
Distance = velocity × time
Given that;
For the first journey,
velocity v = 25m/selapsed time t = 5min = (5×60)s = 300sFor the second journey,
velocity v = 10m/selapsed time t = 5min = (5×60)s = 300sDistance covered in the first journey
Distance = velocity × time
Distance = 25m/s × 300s
Distance = 7500m
Distance covered in the second journey
Distance = velocity × time
Distance = 10m/s × 300s
Distance = 3000m
Total distance covered will be;
Total Distance = Distance covered in the first journey + Distance covered in the second journey
Total Distance = 7500m + 3000m
Total Distance = 10500m
Therefore, the total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
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