Taking into account the definition of density, the density of the liquid is 0.8 g/cm³.
Definition of densityDensity is defined as the property of matter, whether solid, liquid, or gas, that allows the amount of mass in a given volume of a substance to be measured.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Density of the liquidIn this case, you know that:
Density= ?Mass of the empty beaker= 130 gMass of liquid + Mass of the empty beaker= 170 gMass of liquid= (Mass of liquid + Mass of the empty beaker) - (Mass of the empty beaker)= 170 g - 130 g= 40 gVolume= 50 cm³Replacing in the definition of density:
density= 40 g÷ 50 cm³
Solving:
density= 0.8 g/cm³
In summary, the density in this case is 0.8 g/cm³.
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the speed of the incoming water is 30 cm/s and the cross-sectional area of the hose carrying the water is 3.0 cm2. 1) determine the time required for a 25-l container to be filled with water. (express your answer to two significant figures.)
The time required for a 25-L container to be filled with water is 277.7 min.
what is time?
Time is something that everyone is familiar with, but it is difficult to explain and comprehend. Time is defined differently in science, philosophy, religion, and the arts, but its measurement method is rather constant.
The time is measured in seconds, minutes, and hours. While the origins of these units have altered over time, they may be traced back to ancient Sumeria. The cesium atom's electrical transition defines the contemporary international unit of time, the second.
Given:
Incoming water speed (v) = 30cm/s
Hose area (A) = 2 cm²
volume of the container, V = 25 L = 25,000 cm³
The volumetric flow rate of the water is calculated as follows;
q=av
V/t=Av
T=V/Av
=25000/3x30
=25000/90
=277.7s
therefore the time required was 277.7 seconds
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Select all that apply.
Salt dissolved in water is a solution, therefore _____.
A. salt and water are chemically combined
B. salt is not chemically bonded to water
C. salt and water retain their own chemical properties
D. the ratio of salt to water may vary
E. the quantity of salt and water is fixed
Answer:B
Explanation:explanation
a solenoid is wound with a single layer of insulated copper wire (of diameter 1.0 mm) and is 14.6 cm in diameter and 1.4 m long. how many turns are on the solenoid? assume that adjacent wires touch and that the insulation thickness is negligible.
How many turns are on the solenoid? The number of turns on solenoid are 1.400 turns
To find how many turns on solenoid can be calculated as follows:
Given data,
[tex]d[/tex] (diameter of copper wire) = 1mm = 1×[tex]10^{-3}[/tex]m
[tex]D[/tex] (diameter of solenoid) = 14.6cm = 0.146m
[tex]l[/tex] (length of solenoid) = 1.4m
Next, to determine how many turns on solenoid, we can use the formula below:
[tex]N=\frac{l}{d}[/tex]
[tex]N=\frac{1.4}{0.001}[/tex]
[tex]N=1.400[/tex] turns
Therefore, the number of turns on solenoid are 1.400 turns
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Fill in the blanks using the word bank.
Answer: We are unable to see the word bank please update it with a more clear bank word image.
what happens to the speed of a molecule when it hits an oncoming faster molecule? when it hits a receding one?
When it hits a receding one, its rebound speed is reduced.
What is the speed of the molecules?To compute a few more gas properties, the kinetic theory of gases is a little more expanded. It is discovered that the average velocity of a gas molecule is approximately the speed of sound. The pressure is caused by the gas molecules' collisions with the container's walls. The ideal gas model presupposes that the gas molecules are, on average, so far apart that they do not collide. The average separation between collisions (also known as the "mean free path") between gas molecule collisions will be determined.Diffusion, viscosity, and thermal conductivity are only a few of the properties of a gas that are influenced by molecular collisions. A fluid's "stickiness" is determined by its viscosity, while diffusion determines how quickly, for example, an ink drop spreads out in a glass of water. The application of the kinetic theory of gases will be illustrated with a straightforward formula for the diffusion coefficient.To learn more about speed of molecules, refer to
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Yet some men say in many parts of England that king Arthur is not dead, but had by the will of our Lord Jesu into another place. And men say that he shall come again, and he shall win the Holy Cross. Yet I will not say that it shall be so, but rather I would say: here in this world he changed his life. And many men say that there is written upon his tomb this verse: HIC IACET ARTHURUS, REX QUONDAM REXQUE FUTURUS (Here lies Arthur, the once and future king. )A. ) This passage ends the Morte Darthur by holding out the possibility that Arthur may one day return. B. ) This passage ends with romance displacing history. C. ) This passage evinces Malory’s nostalgia for the past. D. ) Both A and C. E. ) A, B, and C
However, some people in many regions of England claim that King Arthur is still alive and has only been transferred by the will of our Lord Jesus to another location. They also assert that he will return and claim the holy cross.
What a name is King Arthur
He was a warrior, a knight, and a king who defeated giants, witches, and other creatures while leading a group of brave adventurers on numerous perilous journeys. He is renowned for bringing the peoples of his realm together and for his Knights of the Round Table. Even though he met a horrible end, he is still revered and honored today in every country. Although some historians suggest that King Arthur was a real warrior who led British armies against Saxon invaders in the sixth century, historians cannot corroborate his existence. Up until his son Mordred reveals the relationship between his queen and best friend, Arthur continues to be a decent and honourable king. Throughout all of these tales, Guinevere is either kidnapped by a villainous lord and must be freed, or other ladies are in need of a brave knight's help
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1) a magnetic field is not produced by a) stationary electric charge b) moving electric charge c) electric current d) an electromagnet e) current-carrying solenoid g
The magnetic field will not be produced by a) stationary electric charge
Any stationary charge in the system will not produce any magnetic field because it will not affect both the magnetic and electric fields. Thus it will not be able to produce any effect on the magnet. whereas in all other options like moving electric charge, electric current, electromagnet, current carrying solenoid, there will be the movement of the charges, which will produce the magnetic field because it will affect both the magnetic and electric field in the system and It will able to produce an effect on the magnet
Thus, the magnetic field is not produced in stationary electric charges.
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at noon, ship a is 100 km west of ship b. ship a is sailing south at 35 kmh and ship b is sailing north at 25 kmh. how fast is the distance between the ships changing at 4:00 pm?
To calculate the distance between the ships by formulas.
What constitutes speed?
The speed at which a position of an object changes in any direction. Speed is defined as the ratio of distance travelled to the amount of time needed to cover that distance. Because it only has a direction and no magnitude, speed is a scalar quantity.
What is distance?
Distance is an object's overall movement, independent of direction. Distance can be described as the amount of ground that an object has covered, regardless of its starting or ending points.
Known dx/dt= 35km/h
dy/dt= 25km/h
dz/dt when x=(4.35)= 140km and
y=(4.25) = 100 km
( then =[tex]\sqrt{100^2 + 240^2}[/tex] = 260 km)
∴ 100^2 ( x+y)^2 = Z²
0+∂(x+y)(dx/dt+dy/dt)=∂z(dz/dt)
=∂(140+100)(35+25)=∂(260)(dz/dt)
dz/dt= 55.4km/h
Therefore, the distance between the ships is55.4km/h.
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If you know the acceleration and time, how can you calculate the average velocity?.
The average velocity in terms of acceleration and time is 1/2at².
Average velocity:
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
Assume the acceleration a is uniform then:
v(t) = u + at
u = initial velocity
By average velocity v we mean average over time than strictly speaking:
v = 1/t [tex]\int\limits^t_0 {v(t)} \, dt[/tex]
= 1/t [tex]\int\limits^t_0 {(u + at)} \, dt[/tex]
= 1/t ( ut + 1/2 at²)
v = u + 1/2at²
If u =0, then we have
v = 1/2 at²
Therefore the average velocity is 1/2at².
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what initial speed should a particle be given if it is to have a final speed when it is very far from the earth that it is equal to one half of esdcape verlodctyu
The initial speed of the particle is 15.83 km/s.
Consider a system having initial potential energy. With time as the system proceed, the potential energy gets converted to kinetic energy. The kinetic and potential energy changes individually, but the total energy is constant at every instant. This is known as the conservation of energy.
Escape velocity , v = 11.200 km/s
The radius of the earth, R = 6400 km
Let the mass of the particle be m.
Let the mass of Earth be by M.
Let the velocity of the particle be v.
By conservation of energy we have,
(1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex]
where G is the gravitational constant.
The gravitational constant and the acceleration due to gravity is related:
g = GM ÷ R²
Thus equation (1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex] becomes,
(1 ÷ 2)v² - gR = (1 ÷ 2)[tex]v_{e}^{2}[/tex]
v² - 2gR = [tex]v_{e}^{2}[/tex]
v² − 2 × 9.8 × [tex]10^{-3}[/tex] km/s² × 6400 km = (11.200km/s)²
v = 15.83km/s
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The question is -
What initial speed would a particle need to be given at the surface of Earth if it is to have a final speed that is equal to its escape speed when it is very far from Earth? Neglect any effects due to air resistance?
a 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, find the tension in the string.
A 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, the tension in the string will be 37.8N
from Newton’s second law we get :
Tension force – f k = mass * acceleration equation 1
Tension force –f k = 5.00 * a
Similarly, for the 9.00−kg mass,
mg - Tension force = mass * acceleration
9.00 * g–Tension force = 9.00 * a
Adding these two equations gives:
9.00 *9.80 − 0.2 * 5 * 9.8 = 14 a
a=5.6 [tex]m/s^{2}[/tex]
substituting this into equation 1
Tension = 5.00* 5.60 + 0.200 * 5.00 * 9.8 = 37.8N
The tension in the string will be 37.8N
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you and a friend are on a swing set and her swing is slightly longer than yours. if you both start swinging at the same time, from the same height, where will she be after you have completed one complete swing back and forth?
She might be barely lower than you however shifting upward in the direction of you.
Oscillation is the repetitive or periodic variation, generally in time, of a few measures approximately a critical price or among or greater distinct states. familiar examples of oscillation consist of a swinging pendulum and alternating modern-day.
A pendulum is a weight suspended from a pivot so that it can swing freely. whilst a pendulum is displaced sideways from its resting, equilibrium position, it's miles issue to a restoring force due to gravity so one can accelerate it returned toward the equilibrium function.
Oscillation is defined as the method of repeating versions of any quantity or degree about its equilibrium price in time. Oscillation can also be defined as a periodic variant of a rely on among values or approximately its crucial price.
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The telescope that allowed astronomers to discover most of the planets found with the transit method was called?.
The telescope that allowed astronomers to discover most of the planets found with the transit method was called the Kepler mission.
What is the Kepler mission?Through only this one telescope, Kepler, astronomers have found thousands of extrasolar planets, or exoplanets, since its inception. Most of them are planets with diameters ranging from Earth's to Neptune's (which is four times the size of Earth). Where Kepler was directed for the first four years of its mission, in an area of the constellation Cygnus roughly the size of the palm of a hand held at arm's length, many of these planets were found.
According to the NASA Exoplanet Archive, as of November 2020, Kepler was credited with finding 2,392 exoplanets, with 2,368 candidate planets still awaiting confirmation.
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How does the
gravitational attraction
between people
compare to the gravitational
attraction between the
people and Earth?
Attraction between people is Gravitation while people and earth is Gravity.
Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.
Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.
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the mechanical energy and amplitude of a block-spring oscillator are 7.50 j and 9.40 cm respectively. let the maximum speed be 4.70 m/s. what is the mass of the block?
The mass of the block is 0.655 kg
What is mechanical energy?The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy. A system with solely gravitational forces or one that is otherwise idealized—that is, a system without dissipative forces like friction and air resistance or a system in which such forces may be fairly neglected—has constant mechanical energy.A swinging pendulum has its highest kinetic energy and lowest potential energy in the vertical position, where its speed is greatest and height is lowest, and its highest Energy is constantly moving back and forth between the two forms as the pendulum swings. The mechanical energy of the pendulum, which is the total of its kinetic and potential energies, is constant when air resistance and friction at the pivot are taken into account.Calculation
The mechanical energy of block system,
[tex]E=\frac{1}{2} mv_{max} ^{2}[/tex]
The mass of the block is
[tex]m=\frac{2E}{v^{2} _{max} }[/tex]
[tex]\frac{2(7.50)}{4.70^{2} } =0.6550 kg[/tex]
Hence, the mass of the block is 0.655 kg
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The mass of the block is 0.655 kg
What is mechanical energy?The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy.A system with solely gravitational forces or one that is otherwise idealized—that is, a system without dissipative forces like friction and air resistance or a system in which such forces may be fairly neglected—has constant mechanical energy.A swinging pendulum has its highest kinetic energy and lowest potential energy in the vertical position, where its speed is greatest and height is lowest, and its highestEnergy is constantly moving back and forth between the two forms as the pendulum swings.The mechanical energy of the pendulum, which is the total of its kinetic and potential energies, is constant when air resistance and friction at the pivot are taken into account.The mechanical energy of block system,
[tex]$E=\frac{1}{2} m v_{\max }^2$[/tex]
The mass of the block is
[tex]$m=\frac{2 E}{v_{\max }^2}$[/tex]
[tex]$\frac{2(7.50)}{4.70^2}=0.6550 \mathrm{~kg}$[/tex]
Hence, the mass of the block is 0.655 kg
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a force of 50 n is applied tangentially to the rim of a solid disk of radius 0.12 m. the disk rotates about an axis through its center and perpendicular to its face with a constant angular acceleration of 110 rad/s2. determine the mass of the disk.
Since (r ) equal to A plus Br, the mass per unit area of a circular disc with radius a depends on the distance r from its center.
Determine the mass of the disk ?Mass is obtained by multiplying density by volume.The volume of a disk is equal to its area times thickness, or r2 times thickness.Simply multiply this volume by the disk density, and there you have it!a disk's bulk.
F= 50 N
r= 0.12 m
α = 110 rad/s²
The moment of inertia of disk about center
I= 0.5 m r²
m=mass , r=radius
The moment of inertia of disk about O
I' = 0.5 m r²+ m r²
I'=1.5 m r²
The torque produce by force F about O
τ = F x 2r
τ =2 F r
= 2 x 50 x 0.12 N.m
τ =12 N.m
We know that
τ = I' α
12 = 1.5 x m x 0.12² x 110
m=2.37 Kg
Mass of the disk m= 2.377 kg
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a pushing force of 7 n to the right is applied to a book on a table. a frictional force of 3 n is applied in the opposite direction. in which direction will the book move? (1 point)
The book will move in the right direction as the pushing force is greater than the frictional force.
What is the net force?The net force can be defined as the vector sum of all forces acting on an object. The net force is defined as a single force giving same the effect as the original forces on the object's motion.
The net force becomes the resultant force with the same effect on the rotational motion as all original forces took together by the object.
In the question, the pushing force will act in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the pushing force to push the box = 7N
The frictional force on the book, = 3 N
The net force on the book = 7N + (-3N) = 4N
Therefore, the net force act in the direction of the pushing force, therefore, the book will move in the right direction.
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Answer:The book will move to the right.
Explanation:
8. a car tire has a radius of 0.26 m. a) how far (path length) does a point on the circumference travel if the wheel is rotated through angles of 30 rad? b) if the car travels 80000 km before wearing out the tires, how many revolutions do the tires make, neglecting backing up and any change in radius due to wear?
a point on the circumference travel if the wheel is rotated through angles of 30 rad is 7.8m
4.9 x [tex]10^{7}[/tex] revolutions if the car travels 80000 km.
What is called radian?The Standard International (SI) unit of plane angular measurement is the radian.A full circle has a radius of 2 pi, or approximately 6.28318 radians.One radian therefore equals around 57.296 angular degrees.The Radius of the tyre = 0.26 m.
Perimeter = 2[tex]\pi r[/tex] =0.52[tex]\pi[/tex]m
When the circle is rotated through an 30rad angle, a point of its circumference travels a distance equal to an 30rad arc of this circle.
a full revolution is 2π rad, then an 30rad angle represents
30/2[tex]\pi[/tex] =15/[tex]\pi[/tex]
15/[tex]\pi[/tex] * .52 [tex]\pi[/tex] = 7.8 m
d = 7.8 m.
the car travels 80000 km
revolutions do the tires = 80000 * [tex]10^{3}[/tex]/ 0.52[tex]\pi[/tex]
=4.9 x [tex]10^{7}[/tex] revolutions.
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two parallel plates are maintained with constant voltage by a battery as they are pulled apart. what happens to the strength of the electric field during this process?
During this process, the electric field gets stronger.
Between parallel plates, why does the electric field remain constant?Because of the assumption that the distance between the plates is small in comparison to the area of the plates, the electric field in parallel plates is uniform and roughly constant. Due to the interaction of the fields produced by the two plates, the field is roughly zero outside of the plates.
The capacitor's two oppositely charged plates are separated by an electric field that is constant throughout, with the exception of the plate edges. The electric field does not change because the space between the plates is smaller than their combined surface area.
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what is the relationship between the incident and reflected angles of a beam of light with different types of mirrors?
The relationship between the incident and reflected angles of a beam of light with different types of mirrors that both the angles are equal
According to the law of reflection, the angle of incidence equals the angle of reflection. Irrespective of mirror , whether it is a concave mirror , convex mirror or plane mirror , this law remain same in all condition where the incident angle is always equal to reflected angle .
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A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.
ANSWER ASAP!!! I AM GIVING EXTRA POINTS!!!! PLEASSEEE HELP!!!
The maximum height travelled by the ball before returning to the ground is 8.62 m.
What is the maximum height travelled by the ball?The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.
H = (u²sin²θ) / 2g
where;
u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravityH = (26² (sin 30)²) / (2 x 9.8)
H = 8.62 m
Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.
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How long does it take an automobile traveling 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially 114 m apart?
The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.
What time will it take for two cars traveling at different speeds to be at the same distance?The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:
Let the time it will take the second automobile be T.
the distance traveled by first car = d
distance traveled by second car = d + 114 m
Time = distance / speedTime taken by first car = d / 41.0
Time taken by second car = d + 114 / 62.5
The two times are equal, hence;
d / 41.0 = d + 114 / 62.5
41d + 4674 = 62.5d
21.5d = 4674
d = 217.4 m or 0.2174 km
distance traveled by second car = 0.2174 + 0.114
distance traveled by second car = 0.3314
Time taken by second car = 0.3314 / 62.5
time taken by second car = 0.0053 hours or 19.1 seconds
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A person can jump a horizontal distance of 3.43 m on the earth. the acceleration of gravity is 8.92 m/s how far could he jump on the moon, where the free-fall acceleration is 0.208g? answer in units of m.
A person who jumps a horizontal distance of 3.43 m on the earth will be able to jump a horizontal distance of 16.5 m on the moon.
Using the equation of projectile motion, the maximum distance formula is:
R = u² . sin(2α) / g
Where:
u = initial velocity
g = acceleration due to gravity
α = elevation angle
Assuming that the initial velocities, both on the moon and on the earth are the same both in magnitude and direction, hence the maximum distance is inversely proportional to the acceleration due to gravity.
Therefore,
Rm : Re = ge : gm (m and e refers to moon and earth)
Rm : 3.43 = g : 0.208g
Rm = 3.43 / 0.208 = 16.5 meters
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light that is polarized along the vertical direction is incident on a sheet of polarizing material. only 67% of the intensity of the light passes through the sheet. what angle is the axis of the polarizer oriented, with respect to the vertical?
125.06⁰angle is the axis of the polarizer oriented, with respect to the vertical
given,
Only 67.0% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. No light passes through the second sheet.
for the first sheet we have malus law as
I =I₀cos²θ₁
here(given)
I/I₀ = 0.67
so cos²θ₁ =0.67
θ₁ = cos⁻¹√(0.67)
= 35.06⁰
which is the angle the first sheet makes with transmission axis
here given no light passes through the second sheet i.e. both the sheets are in crossed position
so the angle the transmission axis of the second sheet makes with the vertical is
θ₂ = θ₁ +90⁰
=35.06 + 90⁰
=125.06⁰
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a 500 kg roller coaster car is traveling at 10 m/s as it passes the 20 m high peak of a hill. it rolls down the other side of the hill, to ground level, and then climbs a second 10-meter hill. find the speed of the roller coaster car at the top of the second hill.
The speed of the roller coaster when it comes at the top of the second hill is 17.32 m/s.
The mass of the roller coaster is 500 kg and it is travelling with a speed of 10m/s.
Firstly the roller coaster ride pass a height of 20 m and after that it goes down and then climb till height of 10 m.
It has been know that throughout the motion the total mechanical energy is always conserved.
So we can write,
Potential energy at the top of the 20 m + kinetic energy at the top of 20 m hill = potential energy at the top of 10 m hill + kinetic energy at the top of 10m hill.
MgH + 1/2MV² = Mgh + 1/2Mv²
H is 20m and h is 10m, while M is mass of roller coaster and V is the speed at top of 20m hill and v is the speed at top of 10m hill.
Putting all values,
g(H-h) = 1/2(v²-V²)
10×10 = 1/2(v²-100)
v = 17.32 m/s.
So, the speed of the roller coaster at the top of 10m hill is 17.32 m/s.
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A charging bull has a kinetic energy of 3,848 J and a mass of 267kg. How much work has to be done to stop the bull?
3848 J work has to be done to stop the bull.
The kinetic energy of an item is the energy that it possesses due to its movement. it's miles defined because the work had to accelerate a body of a given mass from relaxation to its said velocity. Having won this power in the course of its acceleration, the frame continues this kinetic energy unless its velocity adjustments.
Kinetic energy is the electricity an item has due to its movement. If we need to boost up an item, then we have to apply pressure. applying a force requires us to do paintings. After paintings have been achieved, strength has been transferred to the item, and the item may be transferred with a new consistent speed.
Calculation:-
work done = change in kinetic energy
= final kinetic energy - initial kinetic energy
= 1/2mVf² - 1/2mVi²
= 0 - (3,848 )
= 3848 J
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a 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it hits and couples with a stationary 10,000-kg boxcar. what is the speed of the cars after the collision?
The speed of the cars just after the collision is 0.875 m/s.the formula to be used m1u1 + m2u2 = m1v1 + m2v2.V=14000*1.5÷14000+1000=0.875m/s
How is speed used? What is speed?Teenagers, young adults, and the others take the stimulant drug "speed" to feel more focused and alert, as well as, in some circumstances, to get high. Several types of speed are also used by some people to suppress their appetite.
Why do people drive fast?Simply because they are not paying attention on their driving pace, drivers frequently go above the speed limit. Traffic flow, operating a powerful car, and listening to music were all mentioned as contributing factors. Some drivers claimed that passengers' distraction caused them to accelerate.
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if an input force of 220 n is applied to the handles of the wheelbarrow in the sample problem, how large is the output force that just lifts the load
The output force that only lifts the load is 484 N
What is force?In mechanics, force is defined as any action that tends to maintain or alter the motion of a body or to distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, which are laid out in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving uniformly in a straight line will remain in that state until some force is applied to it.The second law states that when an external force acts on a body, it causes the body to accelerate (change in velocity) in the direction of the force. The acceleration is proportional to the magnitude of the external force and inversely proportional to the amount of matter in the body. According to Newton's third law, when one body exerts a force on another, the second body exerts an equal force on the first. This action-reaction principle explains why a force tends to deform (i.e., change the shape of) a body whether it causes the body to move. When studying the motion of a body, it is common to overlook.
Calculation
For this case, the relationship between the two forces is given by
[tex]F_{1} =nF_{2}[/tex]
Where,
F1: output strength
F2: input force
n: mechanical advantage
Then, replacing the values we have:
[tex]F_{1} = 2.2*220[/tex] = 484 N
Hence, the output force that only lifts the load is 484 N
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A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.
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when a 20.6 v battery is connected to a resistor with resistance 68.1 ohms, the voltage across the battery drops to 18.8 v. what is the internal resistance (in ohms) of the battery?
The internal resistance of the battery is 5.686ohms.
How much resistance does the battery interior have?A battery's internal resistance (IR) is characterized as the resistance to current flow inside the battery. The internal resistance of a battery is primarily affected by two factors: electrical resistance.
The main causes of the increase in internal resistance with lead acid are sulfation and grid corrosion. Temperature has an impact on resistance as well; heat reduces it and cold increases it. An increase in runtime can be achieved by briefly lowering the internal resistance of the battery
The formula below is used to determine the battery's internal resistance.
(V/R)r = V'
Make r the equation's subject.
r = V'R/V
Given:
V = 68.1 V
R = 20.6 ohms
V' = 18.8 V
r = (18.8×20.6)/68.1
r = 387.28/68.1
r = 5.686ohms.
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