The speed of the cat 5 m from the sidewalk is 7.42 m/s
What is speed:
Speed is scalar quantity that refers to how fast an object is moving. Speed can be derived as the rate of change of distance.The Newton's equation of motion:
h = u*t + 1/2 (a*t^2)here the cat falls from the height,
h = 40 m
since The cat is falling from rest
Initial velocity, u = 0 m/s
acceleration, a = g = 9.8 m/s^2
substituting values in eq.
40 = 0 + ( 9.8 t^2)
t^2 = 40 / 9,8
t^2 = 4.0814
t = 2.02 s
now when cat is 5 m from sidewalk
distance, S = 40 - 5 = 35 m from top
so,
35 = u*2.02 + 1/2 ( 9.8* 2.02^2 )
u = 15 / 2.02
u = 7.4257 m/s
The speed of the cat 5 m from the sidewalk is 7.42 m/s
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Summarize the differences between solids, liquids, and gases in terms of particle motion, shape, and compressibility.
Solids have a distinct volume and form. Although they have a specific capacity, liquids adopt the form of a container. Gases lack a distinct volume or form.
What is gas?Gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.
a)Particle motion
Liquid molecules are more energetic than solid molecules. Further heating will cause the molecules to move so quickly that they won't stick together at all. The gas molecules have the highest energy content.
b)Shapes
Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The form and volume of gases are ambiguous.
c)Compressibility
The solid or liquid's constituent atoms, ions, or molecules are in close proximity to one another.
The greater compressible nature of gases compared to liquids or solids is explained by the kinetic-molecular hypothesis.
Hence solids, liquids, and gases differentiate in terms of particle motion, shape, and compressibility.
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Answer:
In a solid, atoms vibrate or wiggle, but are locked in place. Solids have a rigid shape, and are hard to compress. In a liquid, atoms have some freedom to move. Liquids take the shape of their container, and are hard to compress. In a gas, atoms move freely. Gases have no definite shape, and are easy to compress.
Explanation:
A team of engineers is asked to help a community improve local air qualiy what must a team do before it can begin to identify
The team of engineers must first define the problem, Option A.
What is air quality?The term air quality has to do with the overall purity of the air in a certain locality. We know that the air in an area is affected by the activities of the people that reside in that vicinity.
In this case, the team of engineers must first define the problem before they can improve local air quality in the community.
Missing parts;
A team of engineers is asked to help a community improve local air quality. What must the team do before it can begin to identify possible solutions?
answer choices
Iterate to improve the solution.
Define the problem.
Select one solution.
Model the solution.
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Imagine you want to create a model of Solar system (and beyond) with the Sun
represented by a beach ball of diameter 60 cm = 0.60 m. (i.e. of radius 30 cm = 0.30m). On that same scale:
What is the diameter of the Milky Way?
And the diameter or Radius of Earth
Using the scale model of the Sun given;
The diameter of the Milky Way = 4.28 × 10¹¹ mThe diameter of the Earth = 5.44 × 10⁻³ mWhat is the diameter of the Milky Way?The diameter of the Milky Way is about 1 × 10¹⁸ km.
The diameter of the Sun is about 1.4 × 10⁶ km
The diameter of the Earth is about 1.27 × 10⁴ km.
Using the scale model of the Sun given, the diameter of the Milky Way = (1 × 10¹⁸ km/1.4 × 10⁶ km) × 0.6 m
The diameter of the Milky Way = 4.28 × 10¹¹ m
Using the scale model of the Sun given, the diameter of the Milky Way = (1.27 × 10⁴ km/1.4 × 10⁶ km) × 0.6 m
The diameter of the Earth = 5.44 × 10⁻³ m
In conclusion, the diameter of the Milky Way is far bigger than the Sun while the diameter of the Sun is about 5400 times bigger than the Earth.
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Which word describes Arette?
A. Trilingual
B. Bilingual
C. Monolingual
Arette is considered bilingual.
Within the context of this question, Arette is from France but speaks two different language
What is bilingual?Bilingual is a word which is usually, frequently and most of the times used to describes a person, community or a nation that speaks two languages.
I myself too; I am bilingual; I speak English and Yoruba
Generally, people who speak more more more than one language are considered as linguists
In conclusion, Arette is considered bilingual.
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In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvage experts plan to recover the container by attaching a spherical balloon to the container and inflating it with air pumped down from the surface. The dimensions of the container are 5.80 m long, 2.60 m wide, and 2.80 m high. As the crew pumps air into the balloon, its spherical shape increases and when the radius is 1.50 m, the shipping container just begins to rise toward the surface. Determine the mass of the container. You may ignore the weight of the balloon and the air in the balloon. The density of seawater is 1027 kg/m3.
Answer:
57.885.8 kg weight of the container
Explanation:
The volume of the balloon * density of water = buoyant force of balloon
volume of a sphere = 4/3 pi r^3
= 4/3 pi * (1.5)^3 = 14.14 m^3 <===balloon volume
Now, find the buoyant force on the container ALONE ....
5.8 * 2.6 * 2.8 * 1027 = 43 364 kg <===== buoyant force
Now add the buoyant force of the balloon to find the weight
43 364 + 14.14 * 1027 = 57885.8 kg
A ping pong ball rolls off a table at 2.33 m/s. What is the magnitude of the ball's velocity after 0.428 seconds? (Ignore direction, unit = m/s, 50 points)
The magnitude of the ball's velocity after 0.428 seconds is 6.62 m/s.
What is the new velocity of the ball?The new velocity, v, of the ball is related to its initial velocity, u and the acceleration due to gravity, g as follows:
v = u + gt
v = 2.33 + 9.81 x 0.428
v = 6.62 m/s
In conclusion, a ball falling under gravity with an initial velocity is accelerated as is it fall.
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Answer:
4.79 is the answer for tihs
Explanation:
A golf ball is initially travelling at 25m/sec hits a sand traps and slow down with an acceleration of -25m/sec. find its displacement after 2.0 sec.
The displacement of the ball is zero.
What is displacement?
The smallest distance between the initial and final position of an object.
What are the equations of motion?
There are three equations of motion that completely describes the motion of an object.
The first equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and time.
The second equation of motion gives the relationship between the initial velocity, displacement, acceleration, and time.
The third equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and displacement.
Given time, initial velocity, and acceleration, the displacement can be calculated using the second equation of motion. The second equation of motion is,
s=u*t+(1/2)*a*t^2
Here, u=25 m/sec, a=-25 m/sec and t=2.0 sec.
Put the values in the formula and calculate the displacement.
s= (25)*(2.0)+(1/2)*(-25)*(2.0)^2
s=50-50
s=0 m.
Hence the displacement of the ball is zero.
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J.J. Thomson discovered the electron by noticing that: A. molecules with the same atoms exhibited the same chemical properties. B. a beam of particles could be influenced by an electric or magnetic force. C. chemical compounds contained various combinations of at least two atoms. D. some particles in a beam were deflected when passed through a sheet of gold foil.
J.J. Thomson discovered the electron by noticing that a beam of particles could be influenced by an electric or magnetic force.. That is option B.
What is an electron?An electron can be defined as the part of an atom that is negatively charged and is found revolving round the nucleus of an atom.
J.J. Thomson was the scientist that discovered electrons through subjecting two oppositely-charged electric plates around the cathode ray.
He noticed that the particles where deflected by both the magnetic and electric fields.
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Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
What would violate the second law of thermodynamics?In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.
A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.
The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.
The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:
Clearly, if the thermal efficiency of a heat engine is 100 percent,
Qin=Wout
If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.
Therefore:
A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
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A ball is thrown straight up from the ground level, with an initial velocity of 34.3 m/s.34.3 m/s. How high is the ball thrown
The maximum height attained by the ball is 60 m.
What is the maximum height?We know that the maximum height can be obtained from the equation;
v^2 = u^2 - 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = maximum height
Since the final velocity is 0 m/s at maximum height then;
u^2 = 2gh
h = u^2/2g
h = (34.3)^2/2 * 9.8
h = 60 m
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What is the magnitude of the net electric field at the origin produced by this distribution of charge?
The magnitude of the net electric field at the origin due to the given distribution of charge is E_net = 4kQ/πR².
Given:
A semi-circle distribution with radius 'r'
Charges '+Q' and '-Q'
Calculation of net electric field:
Step 1:
The electric field for a charge is given as:
E = (kλ/R) i + (kλ/R) j - ( 1 )
where, k is Coulomb's force constant
λ is charge density
R is separation distance between the charges
i & j are unit vectors for x-axis and y-axis respectively
Step 2:
The electric field due to charge +Q is given as:
E₁ = (kλ/R) i - (kλ/R) j - ( 2 )
The electric field due to charge -Q is given as:
E₂ = (kλ/R) i + (kλ/R) j - ( 3 )
Step 3:
Thus, the net electric field will be given as:
E_net = E₁ + E₂
Applying values in above equation, we get:
E_net = (kλ/R) i -(kλ/R) j + (kλ/R) i + (kλ/R) j
=( kλ/R) [ i - j + i + j ]
= 2i (kλ/R) -( 4 )
Step 4:
Now, we know that the linear charge density is given as:
λ = Charge/length
= Q/(πR/2)
= 2Q/πR
Applying the value in equation 4, we get:
E_net = 2i (k(2Q/πR)/R)
= 4i (kQ/πR²)
= 4kQ/πR²
Therefore, the net electric field due to the given charge distribution is of magnitude 4kQ/πR² directed along the positive x-axis.
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One way to measure how long Jupiter takes to rotate is to watch the giant storms in its atmosphere go around. A more fundamental way to measure the rotation is to:
A more fundamental way to measure the rotation of Jupiter is to measure the changes in the planet's radio waves, which are controlled by its magnetic field.
Rotation of JupiterJupiter, in contrast to the inner terrestrial planets, is a sphere made almost completely of hydrogen and helium. There are no craters or mountains that spin into view after a set amount of time on Jupiter, unlike Mars or Mercury, which you can follow to determine the rotation speed.Out of all the planets in the Solar System, Jupiter rotates the most quickly. Given that Jupiter is also the largest planet in the Solar System, this is quite an accomplishment because it is rapidly rotating a vast amount of mass. The planet's equator protrudes due to its rapid spin. Jupiter doesn't appear to be a perfect sphere; rather, it resembles a squashed ball. Even with a modest telescope in your backyard, you can see the bulge at the equator.Observing the enormous storms that circle Jupiter's atmosphere can help determine how long it takes for Jupiter to revolve. Monitoring the variations in the planet's radio waves, which are governed by its magnetic field, is a more basic technique to gauge the rotation.
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What did both newton and einstein believe directly affects gravity? mass of objects distance between objects curvature of objects acceleration of objects
Newton and Einstein believe that the factor directly affects gravity is (a) the mass of objects.
Factor affects gravity:
The force that pulls items toward the center of a planet or other entity is called gravity. As we know gravity is a type of force that is mainly affected by the mass of the object and the distance between the objects. The object which has more mass will have large gravity and a smaller mass has small gravity and when the distance between the objects is smaller then the gravity is larger. Thus, the gravity is directly proportional to the mass of the objects and the inversely proportional to the distance between the objects.
Both Newton and Einstein believe that the gravity directly dependent on the mass of the objects.
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Answer:
Newton and Einstein believe that the factor directly affects gravity is (a) the mass of objects.
Factor affects gravity:
The force that pulls items toward the center of a planet or other entity is called gravity. As we know gravity is a type of force that is mainly affected by the mass of the object and the distance between the objects. The object which has more mass will have large gravity and a smaller mass has small gravity and when the distance between the objects is smaller then the gravity is larger. Thus, the gravity is directly proportional to the mass of the objects and the inversely proportional to the distance between the objects.
Both Newton and Einstein believe that the gravity directly dependent on the mass of the objects.
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Explanation:
Scientists in the 1800s suggested that the source of the Sun's energy might be gravitational contraction. What was the major flaw of this hypothesis
Answer:
The major flow of this hypothesis was that the Sun could last only about 25 million years.
Explanation:
Gravitational contraction:
It is the process of a cloud's gravity overcoming its internal pressure and causing a collapse. Before the atoms inside will fuse, the core temperature of an object must reach a minimum temperature.If the source of the Sun's energy is gravitational contraction,
from this process we could say that, the Sun could last only about 25 million years, which is far less than the age of Earth. But geologists already had evidence the Earth was much older than that.
So, the major flow of this hypothesis was that the Sun could last only about 25 million years.
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At what distance is the electrostatic force between two protons equal to the weight of one?.
0.118 m is the distance between the two protons.
Mass of proton = 1.6726 × 10⁻²⁷ kg
Weight of proton= 1.6726 × 10⁻²⁷ x 9.81 N
= 1.6408 × 10⁻²⁶ N
Charge of proton = 1.602 × 10⁻²⁹ C
The force between two protons = kq²/r² where, K is a proportionality
constant, q is a charge of proton and
r is the distance between two protons.
= 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²
To calculate distance :
Weight of proton= Force between protons
⇒ 1.6408 × 10⁻²⁶ N = 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²
⇒ r = 0.118m
Therefore, 0.118 m is the distance between the two protons.
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5. How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr?
6. A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km?
7. A plane traveled for about 2.5 hours at a speed of 1200 km/hr. What distance did it travel?
8. A girl is pedaling her bicycle at a speed of 0.10 km/min. How far will she travel in two hours?
9. An ant carries food at a speed of 1 cm/s. How long will take the ant to carry a cookie crumb from the kitchen table to the anthill, a distance of 50 m? Express your answer in seconds. How many hours is this?
10. The water in the Buffalo River flows at an average speed of 5 km/hr. If you and a friend decide to canoe down the river a distance of 16 kilometers, how many hours and minutes will it take?
Answer:
7 minutes in a hour okay
WILL GIVE BRAINLIST TO THE CORRECT ANSWER!
Read the two passages.
Excerpt from The Gettysburg Address, 1863
By Abraham Lincoln
Four score and seven years ago, our fathers brought forth upon this continent a new nation: conceived in liberty, and dedicated to the proposition that all men are created equal.… Now we are engaged in a great civil war…[and many have died]. It is for us the living…to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us ...that we here highly resolve that these dead shall not have died in vain...that this nation, under God, shall have a new birth of freedom...and that government of the people...by the people...for the people...shall not perish from this earth.
Excerpt from John F. Kennedy’s Inaugural Address, 1961
By John F. Kennedy
In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger; I do not shrink from this responsibility.… I welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve it…and the glow from that fire can truly light the world. And so, my fellow Americans…ask not what your country can do for you…ask what you can do for your country. My fellow citizens of the world…ask not what America will do for you, but what together we can do for the Freedom of Man.
According to the supporting details, what do the speeches by Lincoln and Kennedy have in common?
A. Both speeches mention that the presidents do not welcome the role of defending freedom.
B. Both speeches express they do not want those who have died during a war to have died in vain.
C. Both speeches indicate a desire to motivate and unite Americans in order to preserve freedom.
D. Both speeches pose a question for each American to ask themselves.
Answer:
the best answer would be c
Explanation:
Two main features of each of the eight planets?
Answer:
Mercury: Mercury is hot, but not too hot for ice. It has a thin atmosphere, and it doesn't have any moons.
Venus: Venus has a thick, toxic atmosphere filled with carbon dioxide and it's perpetually shrouded in thick, yellowish clouds of sulfuric acid that trap heat, causing a runaway greenhouse effect. That is why it is very hot on Venus.
Mars: Mars is similar to Earth. Like Earth, Mars has seasons, polar ice caps, volcanoes, canyons, and weather. It has an atmosphere, but it is very, very thin.
Jupiter: Because of its great mass, Jupiter is a great comet catcher. Jupiter is covered in swirling cloud stripes and has many storms. An example is the great red spot.
Saturn: No one knows how old Saturn's rings are. It remains a mystery. A cool fact about Saturn could float in water because it is mostly made of gas.
Uranus: Uranus is more stormy than we thought. Uranus is the coldest planet in the Solar System.
Neptune: Neptune has supersonic winds. These winds of are on average over 700 mph.
Suppose that a voltage surge produces 140 V for a moment in a 115-V line. What will temporarily be the output of a 100-W light bulb assuming its resistance does not change
The temporarily be the output of a 100-W light bulb is 148 watt.
To find the answer, we need to know about the resistance of the bulb.
What's the mathematical expression of resistance of the bulb in term of power and voltage?Mathematically, power= voltage²/resistanceSo, resistance= voltage²/powerWhat's the resistance of the bulb, if 115 volt is applied to 100 watt bulb?Resistance= 115²/100= 132.25 Ohm
What's the power of the bulb, if 140 volt is applied to it?Power= voltage²/resistance
= 140²/132.25
= 148watt
Thus, we can conclude that the temporary output of the bulb is 148 watt.
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A +0.05 C charge is placed in a uniform electric field pointing downward with a strength of 100 Newtons over Coulombs.. Determine the magnitude and direction of the force on the charge.
The magnitude of the electric force on the charge is 5 N.
Magnitude of force on the chargeThe magnitude of force on the charge is calculated as follows;
F = Eq
where;
E is electric fieldq is magnitude of the chargeF = 100 N/C x 0.05 C
F = 5 N
Thus, the magnitude of the electric force on the charge is 5 N.
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Answer:
5n downward
Explanation:
took the assignment
A traffic-safety engineer is designing a deceleration lane. She is basing the length of
this lane on the distance needed to slow down from 126 km/h to 65 km/h in 8.5 s.
How long should the deceleration lane be?
The deceleration of the car is observed as 2 m/s^2.
What is deceleration?The term deceleration has to do with the decrease of velocity with time.
Given that;
v = 65 km/h or 18 m/s
u = 126 km/h to or 35 m/s
t = 8.5 s
a = ?
v = u - at
18 - 35 = -8.5a
a = 18 - 35/-8.5
a = 2 m/s^2
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Which part of the heating curve corresponds with the boiling of liquid water?
Answer:
the part of heating of corresponds to showing how the temperature changes as a substance for a constant rate
let me know if you need any details
answer the liquid phase which is segment c explanation to quiz
A sphere of diameter 6.0cm is moulded into a thin uniform wire of diameter 0.2mm.calculate the length of the wire in metres.
The length of the wire is 36 m.
The density is the ratio of the mass and volume of a substance. The density is given by the formula,
d=m/V
where d is the density. m is the mass and V is the volume.
The density of the material does not change and the initial and final volume of the substance will be equal when it has changed shape provided the mass has not been changed.
The radius r of the sphere is half of its diameter. Therefore, r=6.0/2 = 3.0 cm.
Then volume of the sphere Vs is given by the formula,
Vs=(4/3)*π*r^3
Put the value of r in the above formula.
Vs=(4/3)*3.14*(3.0)^3
Vs=113.04 cm^3
For the cylinder, the radius s=0.2/2 mm = 0.01 cm and the length l is unknown. The volume of the cylinder Vc is given by the formula,
Vc=πs^2l
Put s=0.01 cm in this equation and solve it.
Vc=(3.14)*(0.01)^2l
Vc=0.000314 l cm^2
The volume of the wire (cylindrical in shape) and the sphere are same, therefore,
Vc=Vs
0.000314 l =113.04
l=3600 cm
I=36 m.
Hence the length of the wire is 36 m.
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Radioactive fuel rods from power plants emit what kind of energy? A. mechanical B. nuclear C. thermal
Answer:
B. Nuclear Energy
Convert 800 cm to meters.
Answer:8 meters
Explanation:100cm is a meter
Answer:
8 meters
Explanation:
800 cm * 0.01 m/1 cm = 8.0 m
Somebody please help me
Conversion Steps that Provide Energy in the Biosphere
1. Solar energy comes from nuclear fusion.
2. Solar energy is absorbed by chlorophyll in plants.
3. Respiration releases chemical potential energy.
4. Photosynthesis converts carbon dioxide and water into glucose and oxygen.
The conversion steps listed above in order from start to finish are
The conversion steps listed above in order from start to finish are already in an arranged form from 1-4.
What is a biosphere?A biosphere can be defined as the part of the earth that supports life. These include :
aquatic,desert, forest, grassland and tundra.The flow of energy through the biosphere includes
Energy from the sun which is as a result of the nuclear fusion,the energy released is absorbed by plant chlorophyll,Chemical energy is released during respiration.Photosynthesis converts carbon dioxide and water into glucose and oxygen.Learn more about biosphere here:
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A transverse wave on a string has an amplitude a.a tiny spot on the string is colered red.as one cycle of the wave passes by what is the total distance travel by the red spot?
total distance travel by the red spot is 4 times of Amplitude
Given:
A transverse wave on a string has an amplitude "A". A tiny spot on the string is colored red.
To find:
Distance travelled by red spot in one cycle of the wave.
Solution:
So, we know that particles in a transverse wave oscillate periodically in a direction perpendicular to propagation of wave.
Frankly speaking, the type of motion shown by particles is SHM (simple harmonic motion)
So, in a wave cycle, the red dot will start from a particular position and will end at the same position.
Let's assume that the red coloured part started from mean point. So, it will go to one extremity return back to the other extremity and finally end at the mean position.
So, it traverses a distance 4 times of the Amplitude.
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which two factors decrease as the kinetic energy of the particles in an object decrease
The particle temperature and the valency of the atom in the particles are the two parameters that decrease with the kinetic energy of the particles in an item.
What is temperature?Temperature directs to the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles more the temperature.
Because an item possesses kinetic energy when it is moving, anything that prevents that motion will reduce the kinetic energy of the object.
A valence electron is an electron in the outermost shell associated with an atom that can experience the innovation of a chemical bond if the outer shell is not closed. Both atoms contribute one valence electron to create a shared pair.
More the valence electron more the motion of atoms results in more kinetic energy,
Hence the two factors decrease as the kinetic energy of the particles in an object will be the particle temperature and the valency of the atom in the particles.
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If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have
The acceleration of the mass when it is nudged ever so slightly on the incline: a = (g sin(∅)) - (μ g cos(∅))
If the minimum mass on the incline is nudged ever so slightly, it will experience a force due to gravity pulling it down the incline. This force can be broken down into two components: one parallel to the incline and one perpendicular to the incline.
Since the mass is on an incline, it experiences a normal force that is perpendicular to the incline.
The perpendicular component, also known as the weight component perpendicular to the incline, is given by mg cos(∅).
The force of friction can be represented as the product of the coefficient of friction (μ) and the normal force (mg cos(∅)).
Therefore, the net force along the incline is;
(mg sin(∅)) - (μ mg cos(∅)).
To calculate the acceleration, we use Newton's second law, which states that the net force acting on an object is equal to its mass (m) multiplied by its acceleration (a).
(mg sin(∅)) - (μ mg cos(∅)) = ma
Simplifying:
a = (g sin(∅)) - (μ g cos(∅))
This is the expression for the acceleration of the mass when it is nudged ever so slightly on the incline. The acceleration will depend on the angle of the incline (theta), the coefficient of friction (μ), and the acceleration due to gravity (g).
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A barber wants to set up a salon in a room measuring length of 3m by 3m. he has a simple wooden chair, 3 large mirrors and one bulb. using the knowledge of shadows and reflection, advise the barber on how to arrange a good salon using the only items he has. without adding more sources of light, how can he enhance the lightning in his salon.
According to law of reflection, the barber should place one mirror in front of the chair and two mirrors on the left and right sides of the chair perpendicular to the front mirror. According to law of shadows, the bulb should be placed above the chair.
What is the law of refraction?
The angle of incidence is equal to the angle of reflection.
According to the law of reflection, when two mirrors are placed parallel to each other, then infinite images are formed. So if the bulb is placed between two parallel mirrors, then there will be more light.By using the front mirror and the side mirrors, the person can see his hair from all sides.What is the law of shadow?
The length of the shadow of an opaque substance on the surface decreases as the angle between the blocked light ray and the surface plane increases.
According to the law of shadows, when the light falls on an opaque substance perpendicularly, then no shadows are formed. So hairs will be easily visible to the barber.So the light should be placed above the chair.Learn more about law of reflection.
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