The ball will hit the ground after 0.408 sec and the horizontal range of the projectile is 1.414 m.
What is Projectile Motion?When a particle throws obliquely near the surface, it follows along a curved path under constant acceleration directed towards the center of the earth. The path followed by the particle and the motion is called projectile motion.
Consider the 'u' is the initial velocity of the particle and θ is the angle with the horizon,
The time of the flight = (2u sinθ)/g
The horizontal range (R) = (u² sin2θ)/g
Given, the initial velocity of the projectile, u 4 m/3
The angle above the horizon, θ = 30°
The time the ball falls back and hits the ground (t):
t = (2u sinθ)/g = (2 × 4 sin30)/9.8 = 0.408 s
The horizontal range (R) of the projectile = (u² sin2θ)/g
R = (4² sin60)/9.8
R = 1.413 m
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A runner exerting a running force of 325 n to the right is met with an air resistance force of 45 n to the left. What is the net force of the runner?.
The net force of the runner, given the data from the question is 280 N.
What is net force?
The net force is the vector sum of forces acting on a particle or object.the net force is a single force that replace the effective of the original forces on the particles motion.
Sol-As per the given question the following data are obtained-
Exerting force = 325 N
Resistance force = 45 N
Net force =?
The net force of the runner can be obtained as illustrated below:
net force = Exerting force - resistance force
net force = 325 - 45
net force = 280 N
From the calculation we can get the runner's net force is 280 N.
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ball a has half the mass and eight times the kinetic energy of ball b. what is the speed ratio vava / vbvb ?
Ball b has eight times more kinetic energy than ball a, which has half its mass. The speed ratio is 4.
What exactly does kinetic energy mean?Force must be applied to object in order to accelerate. To apply a force, we must work hard. Because energy has been transferred to the object, it will be moving at a new, constant speed once the operation is finished.
Given,
Two balls a and b
and the mass of ball an is half that of ball b..
Kinetic energy of ball a is eight times kinetic energy of ball b.
mₐ = [tex]\frac{1}{2} m_{b}[/tex]
KEₐ = 8 KE[tex]_{b}[/tex]
Kinetic energy is measured by,
KE = 1/2 mv²
KE ratios for both balls a and b are calculated,
∴ [tex]\frac{KE_{a} }{KE_{b} }[/tex] = [tex]\frac{1/2 m_{a} v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }[/tex]
[tex]\frac{8 KE_{b}}{KE_{b} }[/tex] = [tex]\frac{1/2 (1/2m_{b}) v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }[/tex]
16 = [tex]\frac{v_{a} ^{2} }{v_{b} ^{2} }[/tex]
[tex]\frac{v_{a} }{v_{b} }[/tex] = 4/1
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assuming 25% human efficiency, how many flights of stairs could a 65-kg person climb using the energy in the snickers bar? assume a flight of stairs is 2.7 m.
The answer is 1.64 dietary calories.
Solution:
Mass of the person (m) = 65 kg
height of the Stains (h) = 2.7m
Potential energy
U= mgh
U= 65X9.8x2.7
U = 1719.9 J
25% human efficiency
n = 25%.
The energy required to do this work
W = 1719.7/25%.
W = 17199x100/25%
W = 6879.6 Joule
4186 Joule = 1 dietary calorie
1 Joule = 1/4186 dietary calorie
6879.6 Joule = 68796/4186 dietary calorie
So, the Energy of snickers bay = 1.64 dietary calories.
The human body is one of the most efficient chemical factories in the world. By taking and incorporating raw chemicals into the complex chemical structures that machines need to function properly, we can manufacture chemicals of an extremely complex nature required for bodily function. By streamlining your day-to-day operations you can improve productivity increase output and eliminate time-consuming administrative tasks.
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A solid silver spoon has a mass of 65.1g.
The volume of the spoon is 6.2cm³.
Calculate the density of silver.
Answer:
10.5
Explanation:
Density= Mass/volume
= 65.1/6.2
= 10.5
on which of the following does the moment of inertia of an object depend? check all that apply. on which of the following does the moment of inertia of an object depend?check all that apply. linear speed linear acceleration angular speed angular acceleration total mass shape and density of the object location of the axis of rotation
The moment of inertia of an object depend on Option D. total mass shape and density of the object location of the axis of rotation.
Angular acceleration refers back to the time fee of change of angular velocity. As there are types of angular velocity, specifically spin angular pace and orbital angular velocity. The motion of rotating items which include the wheel, fan, and earth are studied with the assistance of angular acceleration.
Angular Acceleration is described because of the time charge of alternate angular speed. it also includes expressed in radians according to 2d consistent with 2nd. as a consequence, α = d ω d t. The angular acceleration is likewise known as rotational acceleration.
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it depends upon
a)total mass
b)shape and density of the object
c)location of the axis of rotation
near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. the front runner has a velocity of 3.50 m/s, and the second a velocity of 4.20 m/s. (a) what is the velocity of the second runner relative to the first? (enter a number. enter your answer in m/s faster than the front runner.)
The relative velocity of the second runner relative to the first is 0.7 m/s.
We need to know about relative velocity to solve this problem. The relative velocity depends on the object and observer velocity. It can be written as
v = vo ± v'
where v is relative velocity, vo is object velocity and v' is observer velocity.
From the question above, we know that
vo = 4.2 m/s
v' = 3.5 m/s
The velocity will be minus each other because the direction of the observer is different from the object.
v = vo - v'
v = 4.2 - 3.5
v = 0.7 m/s
Hence, the relative velocity is 0.7 m/s.
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what is the connection between the variations in the cmb and the large scale structure and dark matter
Because primordial baryonic density fluctuations would have to be extremely large for the vast majority of galaxies we observe in the cosmos to emerge without dark matter, the adiabaticity of CMB fluctuations actually leads to dark matter.
The smooth early Universe and the bumpy older Universe are connected by the CMB. The CMB is fairly homogeneous overall, yet there are small temperature differences or anisotropy. These temperature variations match changes in the universe's matter density at the time the CMB formed.
Up to 90% of the matter in the cosmos may be dark matter or invisible matter. Many astronomers and physicists have proposed a number of explanations for this dark matter. It might just be common material, like dust strewn over the universe, frigid gas, big or small black holes, or ultra-faint stars that produce or reflect too little radiation for our equipment to detect. It might possibly be made up of strange, exotic particles that we are unable to perceive.
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why does the atomic structures determine the properties of a substance?
pls don't search it up i just tried that and it's a different question from mine
which determines whether an atom will receive, lose, and share electrons with other atoms in order to become stable.
Describe three electron-related facts.The outside of the nucleus is surrounded by electrons, which are negatively charged particles. Scientists may have trouble observing them since they rotate so quickly. The tiniest particles in an atom, with 2000 of them fitting into a proton, they are drawn to the protons' positive charge.
Why do electrons matter so much?
In addition to participating in gravitational, electromagnetic, and weak interactions, electrons are crucial for a variety of physical processes, including electricity, magnetism, chemistry, and thermal conductivity.
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Please help it’s argent I’ll give crown thing to first and thanks and points pleaseeee
Answer:
the answer is b
Explanation:
leading threat factors include habitat loss disease, invasive species, over exploitation, and chemical pollution these match up with B
Answer: Climate change, thinning of the ozone, pollution, disease
Explanation: Have a good day :)
a crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates an unbanked curve in the road. the curve may be regarded as an arc of a circle of radius 43-m. if the coefficient of static friction between crate and truck is 0.53, what must be the maximum speed of the truck if the crate is not to slide?
The maximum speed of the truck if the crate is not to slide if the coefficient of static friction between crate and truck is 0.53 is 14.95 m / s
Fc = m v² / r
f = μ N
Fc = Centripetal force
m = Mass
v = Velocity
r = Radius
f = Frictional force
μ = Co-efficient of friction
N = Normal force
∑ Fy = 0
N - m g = 0
N = m g
μ = 0.53
r = 43 m
∑ Fx = m ax
f = m ac
μ m g = m v² / r
0.53 * 9.8 = v² / 43
v² = 223.34
v = 14.95 m / s
Therefore, the maximum speed of the truck if the crate is not to slide is 14.95 m / s
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a bicycle has a momentum of 15 kg*m/s. what momentum would the bicycle have if it had 8 times the mass and was moving with 0.46 times the velocity?
The momentum the bicycle would have if it had 8 times the mass and was moving with 0.46 times the velocity is 58.88 kg m / s
p = m v
p = Momentum
m = Mass
v = Velocity
Initially,
p = 15 kg m / s
m v = 15
Finally,
m' = 8 m
v' = 0.46 v
p' = 8 m * 0.46 v
p' = 3.68 m v
p' = 3.68 p
p' = 3.68 * 16
p' = 58.88 kg m / s
Therefore, the momentum the bicycle is 58.88 kg m / s
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Which law do astronomers use to determine the masses of the stars in a spectroscopic binary system?.
Kapler's 3rd law use to determine the masses of the stars in a spectroscopic binary system by astronomers.
A star's mass (the amount of matter it contains) is one of its most important properties. As we'll see, knowing a star's mass allows us to estimate how long it will last and what its ultimate fate will be. However, it is very difficult to directly measure the mass of stars. The mass of the binary system can be estimated using Newton's formulation of Kepler's third law (described in Newton's Law of Universal Gravitation). Kepler discovered that the time it takes a planet to orbit the Sun is related to its distance from the Sun by a specific formula. When two bodies rotate relative to each other in a binary situation, the period (P) in which they orbit each other is related to the semimajor axis (D) of one of its orbits. Formula is D³ = ( M₁ + M₂ ) P²
where D is in astronomical units, P is in years, and ( M₁ + M₂) is the sum of the masses of the two stars in solar mass units. This is a very useful formula for astronomers. If we can observe the size of the orbits of the stars and the period of their mutual rotation in a binary system, we can calculate the sum of their masses.
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Table 4. Interaction between two permanent bar magnets what i did to the pair of magnets to cause interaction. Observed effect/s (attracted or repeled).
In order to attract or repel another substance, a substance must be a magnet. The atoms are arranged in domains of a magnet, each of which is aligned in a . Both the North and South poles of a magnet are present.
What comprises a magnet?Iron, nickel, or cobalt make up the majority of permanent magnets. An alloy called Alnico is comprised of cobalt, nickel, and aluminum. Alnico alloys are capable of producing powerful permanent magnets. They are widely used in industrial applications and consumer electronics.
What are magnet's four applications?Magnets are used in the operation of microwave ovens, televisions, and computers. Refrigerator doors are held closed by magnets, and road sweeping trucks are also equipped with magnets. In addition, magnets are employed in roller coaster braking systems, railroads, and medical instruments that produce magnetic images.
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You see a flash of lightning, and then 15 seconds later you hear thunder. How far away is the lightning?.
If you calculate the seconds between the lightning strike and divide that number by 5, you'll find the distance in miles: 5 seconds = 1 mile, 15 seconds = 3 miles, and 0 seconds = very close.
What is a lighting flash?The return stroke happens when a charged president makes contact with the ground. The quick discharge the electricity that has built up on the leader is all that happens during the return stroke. This discharge resembles a lightning bolt to us.
What causes lightning to flash?A stepped leader, or a channel of negative charges, travels towards the ground during the beginning of a cloud-to-ground lightning strike. The stepped leader keeps moving downhill in a sequence of steps that really are each between 50 and 100 meters long. The stepped leader might take many different turns.
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in a liquid with a density of 1100 kg/m3 , longitudinal waves with a frequency of 430 hz are found to have a wavelength of 7.80 m . calculate the bulk modulus of the liquid.
The bulk modulus of the liquid is 13.31 GPa.
The bulk modulus of a substance is the degree of ways immune to compression the substance is. it's miles defined because of the ratio of the infinitesimal stress boom to the ensuing relative decrease of the volume.
Young's Modulus is the ability of any fabric to withstand the change along its duration. Bulk Modulus is the potential of any fabric to face up to the alternate in its extent. once in a while known as incompressibility, the majority modulus is a degree of the potential of a substance to withstand changes in extent while underneath compression on all aspects. it is the same to the quotient of the implemented strain divided by the relative deformation.
Calculation:-
ρ = 1300 kg/m3 , f = 400 Hz , \small \lambda = 8 m
We know that speed can be given as :
v = \small \lambda*f
i.e. calculating speed as :
v = (8 m)*(400 Hz) = 3200 m/s
The relation between speed, Bulk modulus, and density is :
v = \small \sqrt(K/\small \rho)
Calculating Bulk modulus as :
K = v2*\small \rho
= (3200 m/s)2*(1300 kg/m3)
= 13.31× 109 Pa = 13.31 GPa
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Calculate the energy needed to raise the temperature of 0.5 kg of lead (specific heat capacity of 130 J/kg °C) from 20.0 °C to 30.0 °C
The energy needed to raise the temperature of 0.5 kg of lead (specific heat capacity of 130 J/kg °C) from 20.0 °C to 30.0 °C will be 650 J
Specific heat capacity refers to the heat capacity per unit mass of a pure substance.
heat energy = ?
mass = 0.5 kg
specific heat capacity = 130 J/kg °C
Rise in temperature = (30 - 20 ) = 10° C
Q = m*c*T
= 0.5 * 130 * 10 = 650 J
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A physicist makes a cup of instant coffee in a straight-sided cup with a diameter of 7. 00 cm by pouring in coffee crystals and then adding hot water to a volume of 350 cm3. As the temperature decreases from 95. 0 °c to 45. 0 °c, the height of liquid in the cup decreases by 3. 00 mm. How much of this height change can be attributed to the temperature change?.
The temperature of the system will change 51.71 ⁰C.
The equilibrium temperature of the system depends on the heat released from hot water. The total heat received by the system will equal to total heat released by objects. It should follow
Q released = Q received
The heat can be defined by
Q = m . c . ΔT
where Q is heat, m is mass, c is the specific heat constant and ΔT is the change in temperature.
The given parameters are
V = 350 cm³
d = 7 cm
R = 3.5 cm
ΔT1 = 95 - 45 = 50 ⁰C
Since the heat is the same, the change in temperature will be inversely proportional to the mass of the hot water. Hence,
ΔT ~ 1 / m
ΔT ~ 1 / V
ΔT ~ 1 / h
Find the initial height of cup
V = πR² . h1
350 = π . 3.5² . h
h1 = 100 / 3.5π
h1 = 9.09 cm
Find the final height of cup
h2 = h1 - 0.3
h2 = 9.09 - 0.3 = 8.79
Hence, the change in temperature will change
ΔT2 / ΔT1 = (1 / h2) / (1 / h1)
ΔT2 / 50 = (1 / 8.79) / (1 / 9.09)
ΔT2 = 51.71 ⁰C
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calculate the likely number of poles if the machine is not operating significantly from the synchronous speed.
The equation is n = 60 x f /p, where p is the number of pairs of poles per phase, f is the supply frequency, and n is the synchronous speed.
What is a synchronized speed visit?The rotating field AC motor's synchronous speed is a crucial variable. The frequency and variety of magnetic poles are what determine it. The term "synchronous motor" refers to a group of motors that operate at the same speed.
Why is synchronous speed called such and what does it mean?A revolving magnetic field that spins in both space and time is created when the stator winding of the an induction motor receives three phases that are electrically spaced 120 degrees apart. Synchronous motor speed refers to the rate at which the magnetic field is revolving.
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You are an electrician on the job. The electrical blueprint shows that eight 500-w lamps are to be installed on the same circuit. The circuit voltage is 277 v and is protected by a 20-a circuit breaker. Assuming that the load is continuous, is a 20-a circuit large enough to carry this load?.
The circuit is large enough to sustain the load and has an allowed current load greater than the total current flowing through it. The maximum continuous use current for the circuit is 16 A, or 80% of 20 A.
what's the current equation for physics?How much current is flowing can be calculated to use the electric current formula I=V/R. Ohm's Law serves as the foundation for what is known as the "current equation." I, V, and R are the variables that stand in for current, voltage, and resistance, respectively.
Why do current and electrons exist?Although they move in the same general direction, current and electrons move in different paths. In both directions, electrons can go from a negative to a positive potential. Current is calculated as the quantity of electrons passing through the cross section of a conductor in a second.
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PLEASE ASAP HELP WHO EVER IS FIRST I WILL GIVE THANKS LIKE AND POINTS AND STUFF PLEASE ALSO IT HAS TO BE CORRECT
Answer:
its c i had this as home work and got a 100%
Explanation:
Answer:
reupload the photo please
The graph shows a truck's velocity over time.
Velocity (m/s)
What is the truck's acceleration between 5 and 10 seconds?
A. 3 m/s²
B. 2 m/s²
C. 0 m/s²
OD. 6 m/s²
The Trucks acceleration between 5 and 10 seconds is 0 m/s². Option C.
Solution:
v = 30m/s (final velocity)
u = 30m/s (initial velocity)
t = 10-5= 5s
a = v-u/t
a = 30-30/5
a = 0 m/s²
The main causes of poor acceleration are air and fuel issues and sensor issues. However, mechanical problems can also cause poor performance. Easy acceleration stay still don't accelerate. Progressive Acceleration Gradually accelerates to the desired speed. Thrust Acceleration Move quickly and gain speed.
Rate of change of velocity over time for both acceleration velocity, and direction. A point or object moving in a straight line accelerates as it accelerates or decelerates. Circular motion accelerates because the direction is always changing even if the speed is constant. The gas pedal in your car can actually increase your speed.
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a 20.0 cm wrench is used to generate a torque at a bolt. a force of 50 n is applied at the end of the wrench at an angle of 60.0 degrees to the wrench. the torque generated at the bolt is
A 20.0 cm wrench is used to generate a torque at a bolt. A force of 50 n is applied at the end of the wrench at an angle of 60.0 degrees to the wrench. the torque generated at the bolt will be 8.6 N-m
Torque = F d sin(theta)
= 50 * 0.2 * sin ( 60 )
= 8.6 N-m
Torque will be 8.6 N-m
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Atronaut in training i ubjected to extreme acceleration force by the centripetal force in againt centrifuge. The radiu of the centripetal i approximately 5m. A) calculate the approximate centripetal force of an atronaut of ma 80kg if the centrifuge rotate once even 2econd. B) approximately how many time greater than the atronaut weight i the force
In a large centrifuge, the centripetal force accelerates the astronaut to a very high speed of 49.3 francs ms2 and 5.
Solution:
A. a c = omega2 r = frac4 pi 2 r, T2 = 49.3 frac ms2, and a c = 2 r = T 2
4π \s2 \s r \s \s = 49.3 m\s²
B. frac = k = F aP=\frac{a c}
g = 5.k = P \sF \s\s = \sg \sa \ \s = 5.
Centripetal force is the component of force acting on a body in curvilinear motion and directed towards the axis of rotation or center of curvature. Centrifugal force is the simulated force of circular motion acting along the radius and away from the center of the circle. The centrifuge simulates weightlessness and gravity aboard the space station, allowing substances such as plasma, red blood cells, and white blood cells to be separated from blood samples.
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DESCRIPTION
A crane raises a container with
a mass of 1,865 kg to a height
of 17.5 m. What is the GPE of
the container?
\ta car of mass 2000 kg moves 600 m due east in 10 seconds. what is the average momentum of the car during those 10 seconds?
The average momentum of the car moving due east in 10 seconds is
12 x 10⁴ kgm/s.
the mass of the car, m = 2000kg
distance covered by a car in each direction, s = 600m
time taken by the car, t = 10 second
The velocity of the car = ds/dt
velocity = 600/10
velocity = 60m/s
momentum of the car is calculated as :
P = mv
where
P = momentum of the body
m = the mass of car
v = the velocity of car
P = 2000 x 60
P = 120000 kgm/s
P = 12 x 10⁴ kgm/s
The average momentum of the car moving due east in 10 seconds is
12 x 10⁴ kgm/s.
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Distance equals speed divided by time.
True
False
Answer:
False
Explanation:
speed / time = rate
rate * time = distance
Mike runs horizontally off a cliff at 6.5m/s and lands in the water 15m from the base of the cliff how long does it take mike to hit the water?
Answer:
Explanation:
Given:
V = 6.5 m/s
D = 15 m
_________
t - ?
t = D / V = 15 / 6.5 ≈ 2.3 s
A helical compression spring is wound using 2.5-mm-diamcter music wire. The spring has an outside diameter of 31 mm with plain ground ends, and 14 total coils. a. Estimate the spring rate. b. What force is needed to compress this spring to closure? c. What should the free length he to ensure that when the spring is compressed solid the torsional stress does not exceed the yield strength? d. Is there a possibility that the spring might buckle in service?
162.8 mm is spring rate.
What is Spring Rate?
The term "spring rate" describes how much force is required to compress a spring by one inch. If the spring's rate is linear, the weight applied to it has no impact on the spring's rate. For instance, a spring with a 200 lb. per inch capacity will compress by 1" when a 200 pound. load is applied to it. The spring will compress by another inch if 200 lbs. more are applied. The spring is now carrying a 400 lb weight. However, the spring's rate, which is 200 lbs. per inch, does not change.
k= 8D 3 N ad 4 G
= 8(28.5 3 )132.5 4 (81)10 3
=1.314 N/mmL 0
= kF s+L s
1.314167.9+35
=162.8 mm
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What is generally found behind the drawbridge of a castle?.
An open area between the two buildings is generally found behind the drawbridge of a castle.
A drawbridge is basically a long bridge made up of wood or sometime metal at the entrance of a castle or tower surrounded by a moat. It is basically for the leading to a gateway, capable of being raised or lowered to either restrict entry into the castle or allow someone in it, and often spanned a ditch or moat.
Depending on how big the castle is, when someone go over the drawbridge he or she can generally see an open area, between the buildings. And if we talk about the mechanism behind the drawbridge of the castle a typical arrangement would have the drawbridge immediately outside a gatehouse, consists of a wooden deck with single edge pivoting at the gatehouse threshold, so that in the heighted position the bridge would be flush against the gate, forming passage to entre.
Hence, an open area between the two buildings is generally found behind the drawbridge of a castle.
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Light-rail systems have been tried all over the country, and they've failed. Although the people who support them have noble intentions, sadly, the system the city proposes is doomed to fail as well. People simply enjoy their cars too much to endure any inconvenience for the sake of the environment. And I don't blame them. As the owner of Jake's Used Cars and Trucks, I have seen the joy and freedom car ownership brings people. Americans will never abandon that feeling for the sake of being slightly better citizens. I believe it is far more responsible to purchase a high-quality car with good fuel efficiency. Building an entire light-rail system from the ground up, as the city proposes to do, will be more wasteful in the end if nobody uses it — not to mention that it will take years to build and cost taxpayers millions of dollars. I encourage all city residents to vote against the light-rail system on May 1. Which statement best describes the author's point of view? A. The author thinks Americans should be more environmentally responsible. B. The author wants citizens to visit his car dealership. C. The author is opposed to the light-rail project. D. The author would like the city to implement its project successfully.
The author's best argument against the light-rail project is that it is unnecessary. A combination of trams characterizes light rail transit, a type of passengers urban rail transportation.
What does light rail accomplish?In big cities, LRT can function as an independent organization or as a complement to heavy rail and passenger rail systems. The fastest and most economical interurban transport in a city is provided by LRT.
What does light rail accomplish?Heavy rail systems can be supplemented by LRT, and commuter rail networks in big cities can function independently. In a metropolitan area, LRT offers the fastest and most affordable interurban transportation service. It is intended to close a considerable gap between light rail and local buses.
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