A car moves along a curved road of diameter 2 km. If the maximum velocity for safe driving on this path is 30 m/s, at what angle has the road been banked? (Ignore friction.)
Final answer:
To calculate the bank angle for a curve of diameter 2 km (radius 1 km) to be driven at 30 m/s without relying on friction, the physics concepts of centripetal force and gravitational force component due to the bank angle are applied.
Explanation:
In this scenario, the safety of driving on a curved road relies on the balance between the inward centripetal force required for the car to maintain its curved path and the normal force exerted by the road on the car. The normal force acts perpendicular to the road surface and has both horizontal and vertical components.
To find the angle at which the road is banked, we first calculate the centripetal force required for the car to negotiate the curve safely. This force is given by the formula [tex]\( F_c = \frac{mv^2}{r} \)[/tex], where [tex]\( m \)[/tex] is the mass of the car, [tex]\( v \)[/tex]is the velocity of the car, and [tex]\( r \)[/tex] is the radius of the curve. Given that the diameter of the road is 2 km, the radius[tex]\( r \)[/tex]is half of this distance.
Once we determine the centripetal force, we recognize that it must be balanced by the horizontal component of the normal force. The vertical component of the normal force counteracts gravity. Therefore, the angle at which the road is banked can be found by taking the inverse tangent of the ratio of the centripetal force to the gravitational force.
By calculating this angle, we can determine the angle at which the road must be banked to safely accommodate the car's velocity while moving along the curved path. In this case, the calculated angle is approximately [tex]\( 5.22^\circ \).[/tex]
Extend your thinking: household appliances are usually connected in a parallel circuit. why do you think it might be a problem if too many appliances are turned on at once? (hint: current in a wire also produces heat.)
There might be a problem of a lot of power being dissipated if too many
appliances are turned on at once.
We can infer from Ohm's law that as resistance decreases, the total current increases.
I= V/R
The power dissipated through the circuit is directly proportional to the square
of the current.
P= I²R
We can therefore state that the power dissipated via heat will be much when
too many appliances are turned on at once.
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A load absorbs s = 28 kva at a leading power factor of pf = 0.79. use this information to calculate the average (p) and reactive (q) power for the load. enter comma separated numerical answers with three significant figures.
When a bow an arrow is fired, how does the size of the force of the bow on the arrow compare of the arrow on the bow
Final answer:
The force of the bow on the arrow is equal and opposite to the force of the arrow on the bow, complying with Newton's Third Law. The energy to shoot an arrow comes from converting kinetic energy to potential energy, and then back to kinetic energy upon release. Projectile range is affected by the angle of release and external factors like wind.
Explanation:
When a bow and arrow is fired, the size of the force of the bow on the arrow is equal to the size of the force of the arrow on the bow. This is due to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In terms of archery, when the archer releases the string, the potential energy stored in the bow is transferred to the arrow, propelling it forward. At the same time, the bow experiences an equal and opposite force.
Energy and Projectile Motion
The energy it takes to shoot an arrow involves converting kinetic energy from pulling the string into potential energy stored in the string. Upon release, this potential energy turns back into kinetic energy, which determines the speed and range of the arrow. For a fixed initial speed, the range of a projectile like an arrow is determined by the angle of release. The smaller angle is often preferable due to minimal air resistance and other factors like wind, while a larger angle may be useful to shoot over obstacles or reach longer distances, as with a football punter using a higher trajectory to maximize hang time.
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Astrologers use the stars to predict the future. This could be considered (2 points) Select one: a. science because we can study the stars. b. science because it is based on beliefs. c. pseudoscience because it involves beliefs not facts. d. pseudoscience because it is backed by scientific studies.
Answer:
I would say the answer is C
Explanation:
Because I don't believe that stars can predict the future (correct me if I'm wrong)
Answer:
C
Explanation:
I did the test
The change in velocity that occurs within an interval of time is known as _____ .
average acceleration
acceleration
instantaneous acceleration
deceleration
Why do clothes often cling together after tumbling in a clothes dryer? 1. the dryer heat caused some of the fabrics to melt together. 2. gravitational force 3. air pressure 4. the clothes are electrically neutral. 5. electrical force?
What would the potential of a standard hydrogen electrode (s.h.e.) be under the given conditions? [h+]=0.70 mph2=2.4 atmt=298 k?
Select all that apply.
Which of the following are appropriate acceleration units?
-km/hr2
-m/s/s
-ft/s
-miles/hr/min
-sec/km/m
km/hr2 ,m/s/s and miles/hr/min are appropriate units of the acceleration from all the given options.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
Newton's three equations of motion are only applicable for the constant acceleration, the slope of the velocity time graph represents the acceleration of any object.
As we know the rate of change of velocity is known as acceleration
acceleration =change in velocity/change in time
In the acceleration unit, we divide the velocity and time components by the units of meters per second (m/s) and seconds (s) to compute acceleration. In addition, multiplying a distance by time twice equals multiplying a distance by time squared. The meter per second squared, or (m/s2), is the SI unit of acceleration as a result.
Thus, Out of all the alternatives provided, km/hr2, m/s/s, and miles/hr/min are valid units of acceleration.
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An electron has a kinetic energy of 3.00 ev. find its wavelength. (b) what if? a photon has energy 3.00 ev. find its wavelength.
The wavelength of the electron from the given kinetic energy is [tex]7.1 \times 10^{-10} \ m[/tex].
The wavelength of the electron from the given photon energy is [tex]4.13 \times 10^{-7} \ m[/tex].
Momentum of the electronThe momentum of the electron is calculated as follows;
[tex]P = \sqrt{2Km} \\\\P = \sqrt{2 \times (3 \times 1.6 \times 10^{-19} \times 9.11 \times 10^{-31} } = 9.35 \times 10^{-25} \ kgm/s[/tex]
Wave of the electronThe wavelength of the electron is determined by using De Broglie's equation.
[tex]\lambda = \frac{h}{p} \\\\\lambda = \frac{6.6 \times 10^{-34} }{9.35 \times 10^{-25}} = 7.1 \times 10^{-10} \ m[/tex]
Wavelength of the electron from the given photon energyE = hf
[tex]E = \frac{hc}{\lambda} \\\\\lambda = \frac{hc}{E} \\\\\lambda = \frac{6.6 \times 10^{-34} \times 3\times 10^8}{3\times 1.6 \times 10^{-19}} \\\\\lambda = 4.13 \times 10^{-7} \ m[/tex]
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An alfisol is most closely related to ________.
You are given a material which produces no initial magnetic field when in free space. when it is placed in a region of uniform magnetic field, the material produces an additional internal magnetic field parallel to the original field. however, this induced magnetic field disappears when the external field is removed. what type of magnetism does this material exhibit? you are given a material which produces no initial magnetic field when in free space. when it is placed in a region of uniform magnetic field, the material produces an additional internal magnetic field parallel to the original field. however, this induced magnetic field disappears when the external field is removed. what type of magnetism does this material exhibit? diamagnetism paramagnetism ferromagnetism
In the absence of air resistance and friction, what will happen to the velocity of an object going at 20 m/s E?
A straight 1.0 m long wire is carrying a current. the wire is placed perpendicular to a magnetic field of strength 0.20 t. if the wire experiences a force of 0.60 n, what is the current in the wire?
Which of the following states that all matter tends to "warp" space in its vicinity and that objects react to this warping by changing their paths?
Newton's Universal Law of Gravitation
Einstein's General Relativity
Einstein's Special Relativity
Newton's First Law of Motion
Answer:
Einstein's General Relativity
Explanation:
The above statement is an interpretation of Einsteins General theory of relativity. The theory of relativity states that all matter tends to wrap space in its vicinity and objects respond to this warp by changing their paths. The matter has mass and because of this mass the space in its vicinity is warped. The time space according to Einsteins is a streched fabric.
A hot water heater is operated by using solar power. if the solar collector has an area of 5.3 m2 , and the power delivered by sunlight is 995 w/m2 , how long will it take to increase the temperature of 1 m3 of water from 20 ◦c to 65 ◦c? the specific heat of water is 4186 j/kg · ◦ c and the density of water is 1000 kg/m3 . answer in units of h.
Perform an Internet search to learn about grounding wires, fuses, and circuit breakers. Specifically,
describe how each device works; and
relate its function to what you’ve learned in this unit about electric current, voltage and resistance.
plz help will give Brainliest and u get alot of points must answer correctly its an unit activity after this question i can get a credit plz help
A spring is stretched 175 mm by an 8-kg block. the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 1.50 m/s. assume that positive displacement y is downward.
The potential energy stored in a spring is given by the equation PE = 0.5kx². The speed of the block when it crosses the point where the spring is neither compressed nor stretched can be determined using the principle of conservation of energy. The speed of the block when it has traveled a distance of 20 cm from where it was released can be determined by considering the conservation of mechanical energy.
Explanation:The potential energy stored in a spring is given by the equation PE = 0.5kx², where k is the spring constant and x is the displacement from the equilibrium position. In this case, the spring is stretched by 175 mm (or 0.175 m) and the block is displaced 100 mm (or 0.1 m) downward.
Therefore, the potential energy stored in the block-spring system when the block was just released is:
PE = 0.5 * k * (0.175)²
Since the spring constant is not given in the question, we cannot calculate the exact potential energy. To determine the speed of the block when it crosses the point where the spring is neither compressed nor stretched, we need to use the principle of conservation of energy.
When the block is released, the potential energy stored in the spring is converted into kinetic energy:
PE = KE = 0.5mv²
Where m is the mass of the block and v is its velocity.
To determine the speed of the block when it has traveled a distance of 20 cm from where it was released, we need to consider the conservation of mechanical energy.
What determines the range of spectral lines produced during electron transition? the higher energy level to which the electron jumps the lower energy level to which the electron returns the total number of energy levels the electron can jump to the number of electrons under electronic transition at the same time
Answer:
the total number of energy levels the electron can jump to.
Explanation:
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A major consequence of ozone depletion is that
A. certain parts of the earth will become over-vegetated.
B. solar energy will become ineffective.
C. more harmful UV rays will reach the earth's surface.
D. acid rain will increase.
A major consequence of ozone depletion is C. more harmful UV rays will reach the earth's surface due to ozone depletion. The correct option is C.
A major consequence of ozone depletion is that more harmful ultraviolet (UV) rays will reach the Earth's surface (Option C). Ozone depletion in the stratosphere allows increased penetration of UV-B and UV-A radiation, which can have adverse effects on human health, ecosystems, and the environment. Excessive UV exposure can lead to skin cancer, cataracts, and other health issues in humans.
It can also harm marine life, crops, and forests, disrupting ecosystems and food chains. Stratospheric ozone depletion does not directly cause over-vegetation (Option A), render solar energy ineffective (Option B), or increase acid rain (Option D). Addressing ozone depletion through international agreements like the Montreal Protocol is crucial to mitigate its harmful impacts on the planet and its inhabitants.
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If an unbalanced force acts on an object, which of the following could change?
I. its mass
II. its density
III. its speed
IV. its direction of motion
A. III and IV only
B. I, II, and III only
C. I and III only
D. I and II only
The correct choice is
A. III and IV only
according to newton's second law, force is directly proportional to the acceleration of the object and vice versa and is given as
F = ma
where F = net force on the object
m = mass of the object
a = acceleration of the object
when an unbalanced force acts on an object, the object experiences acceleration. we know that acceleration is nothing but the time rate of change of velocity. hence object experience change in velocity. The velocity can change either by a change in speed or by change in direction of motion.
True or false: convection is the term used to describe how molecules move within a fluid such as a liquid or gas.
Matter's resistance to a change in motion is called _____ and is directly proportional to the mass of an object. For an object to change its state of motion, a force must be applied to it.
A.Velocity
B.inertia
C.distance
D.area
An electron has kinetic energy 3.00 ev. find its wavelength.
The humber bridge in england has the world's longest single span, 1410 m . calculate the change in length of the steel deck of the span when the temperature increases from -3.0 ∘c to 18.5 ∘c.
Final answer:
The steel deck of the Humber Bridge would expand by 0.362 meters (362 millimeters)
Explanation:
To calculate the change in length of the steel deck of the Humber Bridge when the temperature increases you need to use the linear thermal expansion formula: [tex]\(\Delta L = \alpha L_0 \Delta T\),[/tex] where [tex]\(\Delta L\)[/tex]is the change in length, \(\alpha\) is the coefficient of thermal expansion for steel [tex](\12 x 10^-6 /\u2103\), \(L_0\)[/tex] is the original length of the steel structure, and \(\Delta T\) is the change in temperature.
First, find the change in temperature: [tex]\(18.5 \u2103 - (-3.0 \u2103) = 21.5 \u2103\).[/tex]
Then, use the given length of the Humber Bridge span (1410 meters) and plug these values into the equation:
[tex]\(\Delta L = (12 x 10^{-6}/\u2103)(1410 m)(21.5 \u2103)\)[/tex]
By doing the calculation:
[tex]\(\Delta L = 0.362 m\)[/tex]
The steel deck of the Humber Bridge would expand by 0.362 meters (or 362 millimeters).
According to the Big Bang theory, _____. A)Earth's moon was created from a collision with MarsB) the universe was created from a cosmic explosion C) our solar system is shrinking and will eventually collapse into the sun D) in about 5 billion years, the sun will swell and engulf the inner planets
The answer is B. the universe was created from a cosmic explosion.
It is called the Big Bang Theory, but actually there was no REAL explosion. What happened was the universe expanded from a really dense and hot superforce. There were no stars, atoms, and the like. This point was called "singularity,"- a mass that contained all the mass, and the space-time of the universe.
A metallic object is given a positive charge by the process of induction, as illustrated in Figure 18.8. (a) Does the mass of the object increase, decrease, or remain the same? Why? (b) What happens to the mass of the object if it is given a negative charge by induction? Explain.
A muon is traveling at 0.995
c. what is its momentum? (the mass of such a muon at rest in the laboratory is 207 times the electron mass.)
In a circuit of two lamps in parallel there is 5 v across one lamp. what is the voltage across the other lamp? answer in units of v.
Advise how volta specifically can patent its its (first in the world and novel) clean energy engine.
Final answer:
In advising Volta on patenting a clean energy engine, it is essential to consider thermodynamic laws, which preclude the possibility of engines that produce more energy than used or have 100% efficiency, and acknowledge the efficiency limits set by the Carnot cycle.
Explanation:
When considering a patent for a novel clean energy engine, it is important to understand fundamental principles of thermodynamics, which would challenge the claim of an engine running by burning hydrogen that allegedly produces more energy than it uses. Such a system would violate the second law of thermodynamics, as it implies perpetual motion or over-unity efficiency, which is physically impossible because it would create energy from nothing. Likewise, claiming a 100% efficient motor also breaks this immutable law of physics, as all systems produce waste heat due to inefficiencies.
A typical gasoline car engine cannot achieve 100% efficiency due to these losses through heat, friction, and sound, among other factors. The theoretical efficiency ceiling for a gasoline engine is dictated by the Carnot cycle, which is typically less than 45% for a combustion engine. In terms of adopting clean energy technologies like geothermal power and vehicles running on electric or hydrogen fuel cells, it is important to approach these with a balanced view, recognizing both the environmental benefits and the practical limitations or challenges of these technologies.