Projectile motion challenge problem. You are at war. You are stationed with a cannon that can only fire shells at 100 m/s. You may adjust the angle but it takes five seconds to do so. You are positioned on a strategically important bridge 70m high with a mission to protect it from the enemy. Spotters have alerted you to a remote controlled speedboat 3000 m away heading West to your position. It is carrying a bomb to blow up the bridge. The spotter tells you that its initial velocity is 26 m/s and its accelerating at 11 m/s2. You must fire the cannon and destroy the boat as fast as possible before it reaches the bridge. When the speedboat is 3000 m away set that as time = 0s. A. What time do you fire and what is the angle when you do fire? B. Right before you fire a 10m/s wind starts blowing from behind you towards the East. How do you adjust your fire?

Answers

Answer 1

Answer:

A. the time of fire is 15 seconds, and the angle of fire is approximately 23.794° above the horizontal

B. The angle of fire is increased to approximately 35.4126° above the horizontal

Explanation:

A. The height of the bridge, h = 70 m

The speed with of the shell, v₀ = 100 m/s

The location of the speedboat = 3000 m

The direction of the speedboat = 26 m/s

The acceleration of the speedboat, a = 11 m/s²

Let t represent the time of firing the shells, and let x represent the distance of the speedboat from the bridge, and let θ, represent the angle to fire with, we have;

For the speedboat, t = x/(100 × cos(θ))

We note that the time the shell can travel the 3,000 m = 30 seconds

Therefore an adequate time to fire is, t = 15 seconds

The distance the speedboat covers in 15 seconds is given as follows;

s = u·t + 1/2·a·t²

s = 26 × 15 + 1/2 × 11 × 15² = 1627.5 m

At the point the speedboat had traveled 1,627.5 m, the distance of the speedboat, x is then 3000 - 1,627.5 = 1,372.5 m from the bridge, the angle of fire is given from the following formula;

t = x/(100 × cos(θ))

15 = 1,372.5/(100 × cos(θ))

cos(θ) = 1,372.5/(15 × 100) = 0.915

θ = cos⁻¹(0.915) ≈ 23.794°

The angle of fire, θ ≈ 23.794° above the horizontal in the direction of the speedboat

B. Given that a 10 m/s wind is blowing towards East, we have;

The horizontal velocity towards East = 10 + v₀ × cos(θ)

The angle of firing is therefore, given as follows;

15 = 1,3725.5/(10 + 100 × cos(θ))

(10 + 100 × cos(θ)) = 1,3725.5/15

100 × cos(θ) = 1,372.5/15 - 10

cos(θ) = (1,372.5/15 - 10)/100 = 0.815

θ = cos⁻¹(0.815) ≈ 35.4126°

Therefore, the angle of fire, θ, will be increased to approximately 35.4126° above the horizontal in the remote controlled speedboat direction.


Related Questions

think about some of the things physicists have done or discovered. what is something that you would like to see a physicist develop in the future?

Answers

In the near future, I hope that physicists will work on the following theories:

A theory for superconductors that operate at high temperatures, like YBCO.

A stochastic Monte Carlo approach, such as the wave function of interacting electrons in alkali metals, that can handle multiple identical fermions.

A hypothesis for iron superconductors, such as FeSe surface layers on a substrate.

A hypothesis explaining dark matter.

What is the future in physics?

I believe environmental issues will have a greater impact on physics. Cleaner and greener lab equipment will be used in science. The particle-accelerator laboratories that once took pride in bragging about how much electricity they used to run collision tests will either have to be more discreet or, even better, prioritize energy-saving solutions. Air travel will become less acceptable as the effects of climate change worsen, making it more difficult for physicists on the go to defend their conference flights.

The field of medical physics will keep growing, with new imaging technologies and better radiotherapy procedures. NASA's James Webb Space Telescope should finally take off in astronomy.

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An arrow is shot horizontally at 93 m/s, from a height of 0.80 meters. Calculate the amount of time (in seconds) the arrow is in the air. Round to two decimal places.

Answers

.90m = .70g = .45 yes

in a machine shop, a hydraulic lift is used to raise heavy equipment for repairs. the system has a small piston with a cross-sectional area of 0.045 m2 and a large piston with a cross-sectional area of 0.239 m2 . an engine weighing 2000 n rests on the large piston. what force must be applied to the small piston in order to lift the engine? answer in units of n.

Answers

The force applied to the small piston in order to lift the engine would be 376.56 N.

What is pressure?

The total applied force per unit of area is known as the pressure.

The pressure depends both on externally applied force as well the area on which it is applied.

As given in the problem,

the cross-sectional area of the small piston =0.045 m2

the cross-sectional area of the large piston =0.239 m2

weight of the engine = 2000 N

By using the Pascal law,

Force /0.045 = 2000/0.239

Force = 376.56 N

Thus, the force applied on the small piston would be 376.56 N

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use the drop-down menu to complete the statement. the production of an electric current by a changing magnetic field is known as .

Answers

The production of an electric current by a changing magnetic field is known as electromagnetic induction.

The phenomenon when the current is produced due to changing magnetic field is given by Faraday.

And this phenomenon is called the electro-magnetic induction or magnetic induction since the electricity is generated due to the fluctuations or variance in the magnetic field.

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Answer:

electromagnetic induction

Explanation:

In the lab, a student is investigating the effects of texting and driving on reaction time. A student determines his/her reaction time by having a friend release a meter stick at random intervals while the driver sends text messages. The student, on average, catches the meter stick after it has traveled 0.64 m.

How far will the student travel in a car moving at 25 m/s horizontally before reacting?

Answers

The distance traveled by the student in a car is 9 m.

Reaction time of the student

The reaction time of the student is the time of motion of the meter stick and it is calculated as follows;

t = √(2h/g)

where;

h is the height traveled by the meter stickg is acceleration due to gravity

t = √(2 x 0.64/9.8)

t = 0.36 seconds

Distance traveled by the student in a car

x = vt

where;

v is the velocity of the cart is the time of motion

x = 25 m/s  x  0.36 seconds

x = 9 m

Thus, the distance traveled by the student in a car is 9 m.

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)two spheres are touching each other. a charged rod is brought near. the spheres are then separated, and the rod is taken away. in the first case, the spheres are aligned with the rod, in the second case, they are perpendicular. after the charged rod is removed, which of the spheres is:

Answers

Positively charged rod acting as an attractor will cause spheres A and B's combined negative charges to gravitate toward sphere A. A and B's combined positive charge will concentrate in sphere B.

Since the spheres are oriented perpendicular to the rod, an equal force from the positively charged rod will pull the spheres' negative charges, C and D, towards the direction of the rod. However, they won't focus on just one area. There have been no charging movements.

A sphere may it be a perpendicular?

Any geometry where angles may be measured has a perpendicular. When two lines cross, they make a 90° angle. Lines have perpendiculars running through them at every point along the length of them in the majority of geometries (including spherical, Euclidean, hyperbolic, and others). The answer to your query is indeed true.

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A uniform magnetic field is directed along the x axis. For what orientation of a flat, rectangular coil is the flux through the rectangle a maximum? (a) It is a maximum in the x y plane. (b) It is a maximum in the x z plane. (c) It is a maximum in the y z plane. (d) The flux has the same nonzero value for all these orientations. (e) The flux is zero in all cases.

Answers

It is a maximum in the y z plane

Theoretically, magnetic field lines must traverse the coil's contained space in order for there to be magnetic flux through the coil. In contrast to the x y and x z planes, where the coils are located, the y z plane is where the magnetic field lines pass through.

How does magnetic flux work?

The entire magnetic field that traverses a particular area is measured by magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area. The precise area selected will determine how magnetic flux is measured.

When the field is perpendicular to the coil's region, the flux is at its highest level. When the x axis is located in the plane of the loop and there is no magnetic field component perpendicular to the loop, the flux is zero.

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How are variations passed on from one generation to the next

Answers

Answer:

Inheritance

Explanation:

Passing of genetic material to offspring over the next generations

One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero?

Answers

[tex]Given: Current $30 \mathrm{~A}$ along $x$-axis to left $\left(I_1\right)$current $50 \mathrm{~A}$ along $\gamma$-axis $(0=z, y=0.280 \mathrm{~m})$ bo righta) Take a point $P$ at distance $x$ below $x$-axis$B=$ Magnelic field at $P$$B_D=\frac{\mu_0 I_1}{2 \pi x} \hat{k}+\frac{\mu_0 I_2}{2 \pi(0.28+x)}(-\hat{k})=0\left(\mu_0=4 \pi_{\times 10^{-7}} \mathrm{n} / \mathrm{m}\right)$[/tex][tex]$\frac{\mu_0 I_1}{2 \pi \alpha}=\frac{\mu_0 I_2}{2 \pi(0 \cdot 28+x)} \hat{k} \Rightarrow \frac{\mu_0 30}{2 \pi \alpha} \hat{k}=\frac{\mu_0^x 50}{2 \pi(0.28+x)} \hat{k}$$\Rightarrow x=0.42 \mathrm{~m}$[/tex]

What is magnetic field?

The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.  The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, such those utilized in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetized things.

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M A uniformly charged ring of radius 10.0cm has a total charge of 75.0μC . Find the electric field on the axis of the ring at from the center of the ring.(c) 30.0cm, and

Answers

The electric field on the axis of the ring at the center of the ring at 30.0cm is 6.74×〖10〗^6 N/C

Where a positive charge (q) is given, always note that the charges are pointing away from the electric field. The expression used to calculate the electric field away from the center of the ring is given by the equation below,

E=(K_e×b)/(r^3×Q)

Given that;

E = Electric field

Ke = electric field constant

a = radius of the charge q from the center of the circle

Q = electric charge = 75.0μC

The radius of the charge is a = 10cm= 0.1m

Distance from the electric field is 30cm = 0.3m

Ke is a constant given as  8.99×〖10〗^(9  ) Nm^2/c^2

E=(8.99×〖10〗^(9  ) Nm^2/c^2×0.3)/(〖0.1〗^3×75×〖10〗^(-6) )

E=6.39×〖10〗^6N/C

Therefore, the electric field away from the center of the ring is 6.39×〖10〗^6N/C away from the center of the ring

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nerve impulses are carried along axons, the elongated fibers that transmit neural signals. we can model an axon as a tube with an inner diameter of 10 μm. the tube wall is insulated, but the fluid inside it has a resistivity of 0.50 ω⋅m.

Answers

here,

the inner diameter , d = 10 um = 10 * 10^-6 m

radius , r = d/2 = 5 * 10^-6 m

resistivity , p = 0.5 ohm.m

length , l = 6 mm = 0.006 m

the resistance , R = p * l /area

R = p * l /( pi * r^2)

R = 0.5 * 0.006 /(pi * ( 5 * 10^-6)^2) ohm

R = 3.82 * 10^7 ohm (Answer)

the resistance of a wire is 3.82 * 10^7 ohm

Neurons, or nerve cells that transmit nerve impulses, consist of a cell body, an axon, and a few dendrites. Signals travel through synapses, where the axon of one neuron meets the dendrites of another neuron, using chemicals called neurotransmitters.

An electrical signal that travels along a nerve fiber in response to a stimulus and conveys the recording of sensations from receptors or instructions to effectors: Propagation of an action potential along the length of a neuron.

Differential charges across the plasma membrane of neurons generate nerve impulses. How does this charge difference come about? The response contains ions, which are charged atoms or molecules.

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100 points
National Park rangers create public announcements to help prevent accidental wildfires from start. Which is a simple way that accidental wildfires can be prevented in these parks?(1 point)

Ensure people do not have unattended cooking fires while camping.

Ensure people do not create defensible spaces.

Prevent people from thinning dead trees.

Prevent rangers from setting controlled burns.

Answers

It is possible to avoid the spread of accidental wildfires in parks when we stop rangers from initiating a burn that is controlled. Option D

What is a wildfire?

The term wild fire refers to fires that burn uncontrollably. There are some factors that could lead to the beginning of wild fires. One of the several ways that we could have the emergence of a wild fire is if a fire is set up and then is left unattended.

The effects of this wild fire could be so devastating that large buildings as well as large habitats where organisms live could become permanently damaged from the raging of the wild fire and could now amount to a tremendous damage as well as the loss of biodiversity in the ecosystem.

Thus, It is possible to avoid the spread of accidental wildfires in parks when we stop rangers from initiating a burn that is controlled.

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a vehicle's consists of components that generate and transmit power to the wheels. a. suspension b. fuel system c. power train

Answers

The power train is a vehicle's consists of components that generate and transmit power to the wheels.

What do you mean by power train?

The collection of all the parts that propel your car forward is called the powertrain. The engine of your car generates power, which the powertrain then transfers to the wheels on the ground. The engine, transmission, driveshaft, axles, and differential are the main parts of a powertrain. A high-performance sports sedan is frequently described as having smooth steering, acceleration, and braking, as well as great body control and improved driving safety. These methods are crucial, but they are not the "end-all" of a great sports car. Its incredible performance figures, such as its ability to accelerate from zero to one hundred kilometers per hour in just seconds, come exclusively from your powertrain.

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Will the following pairs of atomic orbitals interact constructively, destructively, or with no net overlap if they approach along the indicated axis?.

Answers

If the atomic orbitals are oppositely charged and are out-of-phase combinations then they interact destructively.

In Chemistry, molecular orbital theory(MOT) indicates the design of electron movement in a molecule.

The theory also states that electrons have wave-like nature which occurs as a result of the combination of the atomic wavefunction.

Theory suggests that there are two types of orbitals in a molecule: bonding orbitals (BO) and anti-bonding orbitals(ABO).

More are the chances of molecule stability if the electrons are present in bonding orbitals rather than anti-bonding orbitals.

Molecular orbitals are produced by the overlapping of atomic orbitals. When only the crusts of waves overlap in molecule orbitals they form constructive interference while overlapping of troughs causes destructive interference.

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Trucks carrying garbage to the town dump form a nearly steady procession on a country road, all traveling at 19.7 m/s in the same direction. Two trucks arrive at the dump every 3 min. A bicyclist is also traveling toward the dump, at 4.47 m/s.(a) With what frequency do the trucks pass the cyclist?

Answers

The truck passes the cyclist with a frequency of 8.59×10⁻³Hz.

What do you mean by frequency?

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

According to the question:

Using Doppler effects:

f' = (v+v₀/v-v₁)f

v₀ is the speed of the observer.

v₁ is the speed of the source.

v is the speed of sound in the medium.

Given:

v, speed of truck = 19.7m/s

f, frequency = 1/90Hz

v₀, speed of cyclist = 4.47m/s

v₁, speed of wave from a stationary source.

Putting in the equation:

f' = 8.59×10⁻³ Hz.

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50 points if you answer these questions!
Please don't copy from other websites
1. How does heat added to a solid system cause it to melt into liquid form?
2. What is antifreeze, and how is it used?
3. Explain how frost forms.

Answers

1) Heat is added to a solid by exposing the solid to heat sources

2) The antifreeze is used to keep water liquid in winter

3) Frost is formed by the withdrawal of heat

How do you add heat to a solid?

We know that heat is that which leads to the existence of a temperature difference between two bodies. This the reason for a change in temperature of a body is the addition or the withdrawal of heat.

We could add heat to a body when we heat the body up by exposing the body to a source of heat. For instance, we add heat to food when we place the food on top of our gas cookers and light the gas cooker.

The antifreeze is used to decrease  the temperature at which water freezes. We know that addition of a solute would make pure water to freeze at a temperature that is less than zero degrees. This helps to keep the water in the liquid state at temperatures less than zero during winter.

Frost is formed when heat is withdrawn from a object thus that its temperatures decreases until it reaches the ice point.

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Answer:

1. When a solid is heated, it gains enough kinetic energy to break the force of attraction that holds it in a fixed shape, and it turns into a liquid.

2. The purpose of antifreeze is to transfer heat from a car's engine to a radiator without causing it to boil or freeze. The mixture raises the boiling point of water while decreasing its freezing point. Other chemicals in antifreeze protect the coolant passages in the metal radiator and engine from rust and corrosion.

3. When the temperature is freezing, water vapor condenses on the solid surface and condenses to produce dew, which eventually freezes.

Review. A global positioning system (GPS) satellite moves in a circular orbit with period 11h 58 min.(a) Determine the radius of its orbit.

Answers

The global positioning system (GPS) satellite  that moves in a circular orbit with period of 11h 58 min has an orbital radius of: 26.55465166*10^6 m

To solve this problem the orbital radius formula and the procedure we will use is:

r =[tex]\sqrt[3][/tex][tex]\sqrt[3]{}[/tex][(G* m *T²)/(4 * π²)]

Where:

r = orbital radiusG = Gravitational constantm = Mass of the EarthT = Time period of the satelliteπ = mathematical constant

Information about the problem:

T = 11h 58 minG = 6.67 × 10⁻¹¹ m³/kgs²m= 5.972 × 10²⁴ kgπ = 3.1416r =?

By converting the time period of (h) and (min) from (s) we have:

T = (11h *3600 s/ 1 h) + (58 min * 60 s/1 min)

T = 39600 s +3480 s

T = 43080 s

Applying the orbital radius formula we get:

r =[tex]\sqrt[3][/tex][tex]\sqrt[3]{}[/tex][(G* m *T²)/(4 * π²)]

r =[tex]\sqrt[3][/tex][tex]\sqrt[3]{}[/tex][(6.67 × 10⁻¹¹ m³/kgs² * 5.972 × 10²⁴ kg *(43080 s)²)/(4 * (3.1416)²)]

r =[tex]\sqrt[3][/tex][tex]\sqrt[3]{}[/tex][1.8725*10^22 m³]

r= 26.55465166*10^6 m

What is the orbital radius?

It is the maximum of the radial distribution curve of the outermost orbital.

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a force of 8 lb8 lb is required to keep a spring compressed to 13 ft13 ft shorter than its equilibrium length. what is its spring constant? ????

Answers

The Spring constant (K) = 9 N/m.

We have a force of 8 lb is required to keep a spring compressed to 13 ft shorter than its equilibrium length.

We have to determine the Spring constant.

When the Spring is Compressed or Stretched the restoring force is directed towards?

The restoring force is directed towards the Equilibrium position.

According to the question, we have -

Force = 8 lb = 8 x 4.45 = 35.6 Newton.

Displacement = 13 ft = 3.96 meter.

Now -

The Restoring force = Applied force

Therefore -

|F| = Kx

35.6 = 3.96K

K = 8.99 = 9 N/m.

The Spring constant K = 9 N/m.

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please help asap times!! thank tub in advance!

Answers

As the speed of the object increases, the fluid resistance increases.

What is fluid resistance?

The fluid resistance is what could otherwise be referred to as the drag force. This is the force that inhibits the object from moving through the fluid. Thus it drags the object and prevents its motion.

This fluid resistance is caused by the layers of the fluid as the object moves through the fluid. As the speed of the object increases, the fluid resistance increases.

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john needs to measure the brightness of a light bulb using the metric system. in which unit does he express his measurement? candela candela meter meter liter liter kilogram

Answers

john needs to measure the brightness of a light bulb using the metric system, in candela he expresses his measurement.

What is metric system?

The decimal standard for measuring is a globally perceived decimalized arrangement of estimation. It is in far and wide use, and where it is taken on, it is the just or most normal arrangement of loads and measures. Decimal standard can be involved by a few groups all around the world as a solitary method for estimating the amounts. This will make them to effectively think about their works. The Decimal standard for measuring was first embraced in France, and essentially every country on the planet currently utilizes it. Be that as it may, for reasons unknown, America hasn't gotten the update yet. The decimal standard gives units of estimation to remove, volume, mass, time, and temperature. It constructs these units utilizing a fundamental unit and a bunch of prefixes. The accompanying rundown shows five significant essential units in the decimal standard.

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Answer:

A. candela

Explanation:

I did a quiz with this question.

25. Calculating
A triathlete enters a race in which
he swims 500 meters, runs 3000 meters, and
cycles 10.0 kilometers. What is the total distance
of the race in kilometers?

-I NEED HELP PLEASE! I BEGGGGG

Answers

Answer:

3,510 po yung sagot pa brainliest po

Explanation:

By adding the distances for cycling, running, and swimming, the total race distance can be determined. The distance covered by him is 13.5 km.

Converting all the distances to the same unit before combining them because the triathlete swims 500 meters, runs 3000 meters, and cycles 10.0 kilometers.

Divide 500 meters by 1000 to get kilometers: 500 meters divided by 1000 equals 0.5 kilometers.

Divide 3000 meters by 1000 to get 3 kilometers: 3000 meters divided by 1000.

The triathlete completes a 0.5-kilometer swim, a 3-kilometer run, and a 10.0-kilometer bike ride.

Now that the distances have been added, the total is 13.5 kilometers: 0.5 kilometers for swimming, 3 kilometers for running, and 10.0 kilometers for cycling.

Consequently, the race's overall length is 13.5 kilometers.

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How long did it take Fernando to drive to
Kroger if he went west at a constant rate of 30
m/s. Assume Kroger was located 1680 m away.

Answers

How do you calculate distance over speed?
Image result for if your going 30 m/s to go somewhere thats 1680 miles away
The formula can be rearranged in three ways:
speed = distance ÷ time.
distance = speed × time.
time = distance ÷ speed.

1680÷30 = 56

So it would take around 56 minutes to get to Kroger.


I hope this helps !! :)

Speed is a scalar quantity that describes "how fast an object is moving." The rate at which an object travels a distance can be thought of as its speed. The time taken by Fernando is 56 s.

Speed is only the rate at which motion changes. Or just the distance a body travels in a unit of time. Velocity is the rate at which an object's position changes and it takes direction into account. Speed has just magnitude because it is a scalar quantity.

The expression used to calculate speed is:

Speed = Distance / Time

Time = Distance / Speed

t = 1680 / 30

t = 56 s

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The compounds that make up
plastic are ___________
because they contain carbon and
hydrogen

Answers

Answer:

ethylene

Explanation:

ethylene is a compound consist of two double bonded carbon atom and four hydrogen atoms at room temperature is a gas

Answer:

Ethylene

Explanation:

Because Ethylene is a simple molecule composed of two double-bonded carbon atoms and four hydrogen atoms. It's a gas at room temperature. Ethylene molecules can be chemically bonded, end to end, to form a polymer named polyethylene.

if blinded by an approaching motor vehicle at night, it is best to: stop dim your lights and continue at the same speed slow down and avoid looking directly into the lights of the approaching vehicle leave your lights on bright to offset the glare submit answer

Answers

If blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle which is denoted as option C.

What is a Vehicle?

This refers to something which is used to transport people and goods from one place to another and examples include car, lorry etc. The lights are used at night for proper vision of the road so as to reduce the risk of accidents on the road.

In a situation whereby an individual is blinded  by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle so as to prevent temporary vision impairment.

This helps to prevent accidents on the road and for the safety of the driver thereby making it the correct choice.

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A = 5 m/s N, B = 7 m/s at -25 degrees, C = 3 m/s N of W at 45 degrees

Find the resultant vector.

Answers

The resultant vector will be 29.5° E of N.

A = 5 m/s

B = 7 m/s at 25° NE

C = 3 m/s at 45° NW

To find the resultant vector for these given vectors,

first we need to resolve the vector B and C into X and Y direction respectively.

On resolution, vector gets distributed into its X-axis and Y-axis components.

Vector B has BCos25° as its X component and BSin25° as its Y component

Similarly, Vector C has CCos45° ac its X-axis component and CSin45° as its Y-axis component.

Now, the algebraic sum of the resolved parts of a series of forces in a particular direction is equal to the resolved part of their resultant in the same direction.

Σ along X-axis

= 5 + BCos25° - CCos45°

= 5 + 7(0.92) - 3(0.76)

= 5 + 6.44 - 2.28

Fx = 9.16 m/s

Σ along Y-axis

= BSin25° + CSin45°

= 7(0.38) + 3(0.64)

= 2.66 + 1.92

Fy = 4.58 m/s

The direction of the resultant vector is given by calculating Tan[tex]\alpha[/tex]

Here Tan[tex]\alpha[/tex] = [tex]\frac{P}{B\\}[/tex]

Tan[tex]\alpha[/tex] = [tex]\frac{4.58}{9.16}[/tex]

Tan[tex]\alpha[/tex] = 0.5

[tex]\alpha[/tex] = Tan⁻¹(0.5)

[tex]\alpha \\[/tex] = 29.5° with the X-axis

Magnitude of the resultant vector can be calculated by

= [tex]\sqrt{Fx^{2} +Fy^{2} +FxFyCos\alpha }[/tex]

= [tex]\sqrt{9.16^{2} +4.58^{2}+ 9.16*4.58*Cos29.5 }[/tex]

= 11.93 m/s

Therefore the resultant vector will be having 11.93 m/s as magnitude directing 29.5° from East to North.

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The name of the festival or custom​

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Answer: harvest moon

During the harvest season, they would worship the full moon, giving thanks for a plentiful harvest. The women in each family would prepare a table full of newly harvested rice and fruit, in an ancient tradition called 'charye. ' The origins of Chuseok can be traced back to this custom.

ceremonies

hope this helps

A scientific law seeks to explain why an event occurred.

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Answer:

answer explanation

Explanation:

explanation answer

An object of mass “15kg” is in free fall in a vacuum where there is no resistance determine the acceleration of the object

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An object of mass “15kg” is in free fall in a vacuum where there is no resistance determine the acceleration of the object -9.8 m/s^2

An object of mass “15kg” is in free fall in a vacuum where there is no resistance

During a free fall motion an object acquires acceleration

a = g  ( gravity)

a = 9.8 m/s^2

whilst an item dropped in air that experiences no air resistance is stated to be in free fall motionwhen an item is in unfastened fall, the simplest force appearing on the object is gravity.A loose fall with equal acceleration, internet force acting on them is weight, their weight-to-mass ratios are constantly the identical, their acceleration is g, and  the acceleration because of gravity.

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photon strikes the surface of tungsten and an electron is emitted. what is the maximum possible speed of the electron?

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Answer: The maximum possible speed v is √2(  hν - Ф  ) / m

Explanation: You could be referring to the provided explanation, despite the fact that the question isn't comprehensive. When a photon collides with the surface of any metal, it transmits all of its energy to the electron in the atom. The collision causes the electron to travel with a certain amount of kinetic energy. This is referred to as the photoelectric effect. The maximum kinetic energy is calculated using Einstein's equation for the photoelectric effect:

K.E. = hν - Ф

½ mv² = hν - Ф

Hence the maximum possible speed is:

v = √2(  hν - Ф  ) / m

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The rest energy of an electron is 0.511MeV. The rest energy of a proton is 938MeV. Assume both particles have kinetic energies of 2.00MeV. Find the speed of (b) the proton.

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The speed of proton is 0.063c given that the rest energy of an electron is 0.511MeV and the rest energy of a proton is 938MeV, with both particles having kinetic energies of 2.00MeV.

From the data given,

Rest energy of an electron = 0.511MeV

Rest energy of a proton = 938MeV

Kinetic energies (K) = 2.00MeV

Using the equation.

γ=K/E_0 +1      (1)

Where, γ represents the ratio of total energy to the rest energy of the particle

γ=2.00MeV/938MeV+1  

γ=0.002+1

γ=1.002

γ can also be derived as shown below;

γ=1/(√1-v^2/c^2)

Making v which is the velocity the subject of formula we get;

γ^2=1/(1-v^2/c^2)    by squaring both sides

Simplifying it we get;

1/γ^2 =1-v^2/c^2  

v^2/c^2 =1-1/γ^2  

v/c=√1-1/γ^2  

v=√1-1/γ^2 ×c     (2)

Putting the values into equation 2 we have;

v=√1-1/〖1.002〗^2 ×c

v=√1-0.996×c

v=√0.004×c

v=0.063×c

v=0.063c

The speed of proton is 0.063c.

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