The position of center of mass will be x = (x₁m₁ + x₂m₂) / m₁ + m₂
The center of gravity of a body or system of particles is defined as the point at which the entire mass of the body or all the masses of the system of particles appeared to be concentrated.
In physics, we can say that the center of mass is the point at the center of the distribution of mass in space (also known as the equilibrium point) where the weighted relative position of the distributed mass sums to zero.
Simply put, the center of gravity is the position that is relative to the object. We can say that it is the average position of all parts of the system or it is the mean location of the mass distribution in space. It is the point where a force is usually applied that results in linear acceleration without any angular acceleration.Mathematically, COM is (x₁m₁ + x₂m₂) / m₁ + m₂where, x₁ and x₂ are the positions of the objects and m₁ + m₂ are the masses of the objects respectively.
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Make a timeline that lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Your timeline has to include the physicists, their pictures and main laws and discoveries .
(HELP ME I'LL BRAIN E-LIST I SWEAR)
This timeline lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Pre-scientific16th century17th century18th century19th century20th century21st centuryWhat is definition of timeline?
A timeline is a display of a list of chronicle in chronological order. It is usually a graphic design showing a long bar tagged with dates paralleling it, and usually present day chronicle.
Timelines can use any appropriate scale representing time, suiting the subject and statements; many use a linear dimension, in which a unit of distance is equal to a set quantity of time. This timescale is incumbent on the chronicle in the timeline.
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Which of the following are signs that an endothermic reaction is taking place
Answer:
positive delta H (enthalpy/heat change)
temperatures drop
Explanation:
eg water changing state to ice is an endothermic reaction
Answer:
Some signs that an endothermic reaction is taking place are if:
- the container holding the reaction feels cold to the touch
- the change in enthalpy is positive
- the total heat of formation is positive
Aluminum reacts vigorously and exothermically
with copper chloride which of the following is the balanced equation for this reaction
Aluminum reacts vigorously and exothermically with copper chloride, the balanced chemical reaction becomes:
2Al + 3CuCl₂ → 2AlCl₃ + 3Cu
Why Aluminum reacts vigorously with copper chloride?Considering that aluminium is a more active metal in the electrochemical series of metals than copper, it displaces copper from the bond. The result is the emission of gaseous hydrogen and red metallic copper. This reaction is quite intense and results in the production of heat.
The reaction between aluminium and copper(II) chloride is highly vigorous, as heat is generated, the reaction mixture becomes very hot, the blue hue owing to the Cu(II) ions fades, the aluminium foil disintegrates, a reddish brown solid emerges, and gas bubbles are released.
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An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer
The observed frequency will be greater than the source’s frequency
The observed frequency will be less than the source’s frequency
The observed frequency will be the same as the source’s frequency
The source never passes the observer
The observed frequency will be greater than the source’s frequency (option - B) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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a ball is launched with an initial velocity of 10 m/s at an angle of 45 degrees follows a parabolic path and hits a balloon at the top (peak) of its trajectory (path). neglecting air resistance, how fast is it going when it hits the balloon? (both horizontally and vertically)
The speed of the ball that is launched into a parabolic path after it hits the balloon is 7.07 m/s.
Given that,
Initial speed of the ball = 10 m/s
Angle at which the ball is launched = 45°
The path of the ball which hits the balloon at the top of its flight follows a parabolic trajectory
The horizontal component of the velocity is vₓ = v* cos(θ)
The vertical component of the velocity is vy = v* sin(θ)
vₓ = 10 × cos(45°) = 7.07 m/s
vy = v* sin(45°) = 7.07 m/s
Thus, the horizontal and vertical speed with which the ball hits the balloon is vₓ = vy = 7.07 m/s.
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an object travels 20 m in 4s and then another 16m in 2s. what is the average speed of the object?
The average speed of the object is calculated as 6 m/s, when distance travelled by object and time taken are given.
What is an average speed?Average speed is calculated by dividing total distance that something has travelled by the total amount of time it took to cover that distance. Average speed measures the average rate of speed of a trip.
As we know, Velocity V = Distance / time
Distance travelled in first half, D1 = 20 m
Time taken in first half, T1 = 4 seconds
Distance travelled in second half, D2 = 16 m
Time taken in second half, T2 = 2 seconds
Average speed of an object = (D1+D2)/(T1+T2)
= 36 / 6
Average speed of object = 6 m/s
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A kid rides a scooter down the sidewalk with an constant speed of 3.0 m/s for 7.0 seconds, then uniformly increases speed to 9.0 m/s in 5.0 seconds. What is the kid's total displacement? (How far along the sidewalk did the kid travel?)
The kid's total displacement is 66m.
What is distance?The formula for calculating distance, d = st, or "distance equals speed times time," can be used. Because they both refer to the amount of movement per unit of time, such as miles per hour or kilometers per hour, speed and rate are comparable. The equation r = s = d/t holds if speed s = rate r.
In first case
Distance = speed × time
Distance = 3×7
Distance = 21m
In second case
Distance = speed × time
Distance = 9×5
Distance = 45m
Total displacement = 21+45
Total displacement = 66m.
So, the kid's total displacement is 66m.
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which type of lens (converging or diverging) will be able to focus an image on a screen? explain your answer.
On the same side as the object, a diverging lens constantly creates a virtual, erect, decreased, and in-between focus and lens.
What does the lens do?A lens is a sheet of transparent material that is typically round in form with two clean lines that are either concave (bulging) or concave on one or both sides (depressed). In other words, the radii is constant since the curves are virtually always spherical.
Briefing:A convergent lens is also known as a convex lens. An accurate, reversed image is produced by a convex lens. When the material is located between the focusing F1 and also the ocular center O, an upright, virtual image is created.
Concave lenses are sometimes known as diverging lenses. A virtual, upright image is always produced by a concave lens.
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why not turn car your engine off to save gas while waiting to pickup your husband, but keep the car turned on so the air conditioning, lights, and radio keep running without the engine?
It doesn't matter if you turn off the AC first or after you turn off the engine; someone once said that doing so would shock the system. It still stops abruptly whether it shuts off from the switch or the engine.
Does turning off your car while waiting save gas?Turning it off can help you conserve gasoline and cut down on carbon dioxide emissions, unless you drive a classic automobile with a carburetor. Our research has shown that drivers can save fuel and cut pollutants by shutting down for periods as little as 10 seconds. Some drivers believe that idling burns less fuel than resuming.
More gasoline is used and more CO2 is released when an engine is left idle for more than 10 seconds (Figure 3). For passenger cars of various sizes, idling fuel consumption ranges from 0.2 to 0.5 gal/h and rises with idling speed. Driving causes the car to warm up more quickly than idle does.
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Why do organisms make different proteins? The Darwin’s bark spider on the left makes proteins that result in spider silk with high flexibility. The Darwin’s bark spider on the right makes proteins that result in spider silk with low flexibility. Using the space below, explain why you think this happens.
Organisms make different proteins because of the gene recombination and genetics.
What is the genetics of spider silk?Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.
The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility - high, medium, and low.
The above explanation about the genetic recombination tells about why the organisms make different proteins.
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A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an
initial speed shown in the figure below. The crate is pulled a distance of 9.01 m on the
incline by a 150 N force. The acceleration of gravity is 9.8 m/s^2 a) What is the change in kinetic energy of the crate? Answer in units of J..
The change in kinetic energy of the box be 33.47 Joule.
What is friction?The resistance provided by surfaces in touch as they move past one another is known as friction.
To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.
Net force acting on the box = 150 N - (mgcos32° + μmgsin32°) N = 35.90 N.
Work done by this force = fs = 35.90 × 9.01 = 323.47 Joule.
Hence, the change in kinetic energy = 33.47 Joule.
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What is the formula for Gravitational Potential Energy (GPE)?
Answer: GPE = MGH
Explanation:
M = Mass
G = Gravitational acceleration(9.8m/s^2 on Earth)
H = Height
Answer:
GPE=mgh
Explanation:
m - mass
g - gravitational force
h - height
The speed of sound wave in a medium is 1481m/s. If the wavelength of the sound is 23 m, calculate the frequency of the sound wave.
Answer: For a sound wave with a speed 1481 m/s and wavelength of 23 m, the frequency is 64.391 Hz
Explanation:
We know that v = λ x f
where v ⇒ velocity of the wave
λ ⇒ wavelength
f ⇒ frequency
Here, λ = 23 m and v = 1481 m/s
Hence,
f = v / λ
f = (1481 / 23) Hz
f = 64.391 Hz
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The period, T of a simple pendulum depends on the length of the pendulum,the mass of the pendulum and the acceleration due to gravity. Determine the actual equation.
The period of a simple pendulum is T = 2π√l/g and T = 2π√m/k
What is the period of a simple pendulum?The time period of a simple pendulum is equal to the time it takes to complete one Oscillation. The period of a simple pendulum depends on the length of the string, and acceleration due to gravity. In simple pendulum , the mass of the pendulum does not after the period.
But in spiral spring, the period depend on the elastic constant 'k' and mass of the load.
Therefore the period of a simple pendulum is can be given in two forms:
T = 2π√l/g and
T = 2π√m/k
where m is the mass of the load
l is the length of the spring and g is the acceleration due to gravity.
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You lift a relatively light bowling ball with your hand, accelerating it upward. What are the forces on the ball? what forces does the ball exert? what objects are these forces exerted on?
The forces on the ball are the force of your hand and the gravitational force of Earth's mass. The ball exerts a force on your hand and a gravitational force on Earth. All these forces are exerted on your hand, on the ball, or on Earth.
What is acceleration?
Compared to displacement and velocity, acceleration is like a raging fire-breathing dragon of motion variables. it can be violent. Some people fear it. And when it's big, you have to be careful. Taking off an airplane, braking a car, cornering a go-kart at high speed are all sensations of acceleration.
Acceleration is the name we give to any process that changes velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both.
No matter how fast you run, you can't accelerate unless you change speed and direction. So a jet traveling along a straight line at a constant speed of 800 miles per hour will not accelerate even though it is traveling very fast because its speed does not change. When the jet lands and comes to a sudden stop, it accelerates while decelerating.
Therefore, The forces on the ball are the force of your hand and the gravitational force of Earth's mass. The ball exerts a force on your hand and a gravitational force on Earth. All these forces are exerted on your hand, on the ball, or on Earth.
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An echo is an example of the type of wave interaction called.what?
Answer:
wave reflection
Explanation:
An echo is an example of wave reflection. Reflection occurs when waves bounce back from a barrier they cannot pass through. Reflection can happen with any type of waves, not just sound waves.
Study the image.
The wind belts. The Earth is shown with points 1 through 4. 1: Winds in middle latitudes that originate from high pressure. 2: Near the equator, air circulates in an upward direction. 3: Subtropical regions with calm winds. 4: winds near poles that blow toward the low pressure areas of the westerlies.
Which point shows the prevailing westerlies?
1
2
3
4
The point that shows the prevailing westerlies is the wind belt labelled with 1.
What is prevailing westerlies?Prevailing westerlies is the average or normal westerly winds of the middle latitudes.
From the given image of wind belts, 1 represents winds in middle latitudes that originate from high pressure.
Thus, the point that shows the prevailing westerlies is the wind belt labelled with
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Answer: A
Explanation:
A student determines the centre of mass of a piece of card. Fig. 3.1 shows the equipment the student uses.
Describe how the student determines the centre of mass of the card using the equipment in Fig. 3.1.
Based on the fact that the center of mass and the center of gravity in the parallel gravity field close to the earth's surface are the same. The experimental measurement of a body's center of mass makes use of gravity forces on the body.
What determine the center of mass of a piece of card?The center of mass is a point determined with respect to an object or group of objects. It shows the system's average location, weighted by the mass of each component.
The center of mass will always rest immediately underneath a shape if it is suspended from a single point.
Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
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how much heat is required to completely melt a 4.6-kg block of ice having a temperature of 252.2 k? cice
The heat required to completely melt the block of ice is 15.18 * [tex]10^{5}[/tex] J
What is the heat required for melting?The mass of ice = m = 4.6 kg
The Latent heat = [tex]L_{f}[/tex] = 3.3 *[tex]10^{5}[/tex] J/kg
Heat required to melt the ice =Q
[tex]Q = mL_{f}\\ Q = 4.6 * 3.3 * 10^{5} \\ Q =15.18 * 10^{5}J[/tex]
What is Latent heat?Latent heat is energy that a body or thermodynamic system releases or absorbs during a constant-temperature process, typically a first-order phase transition. Latent energy and heat of transformation are other names for it.Latent heat can be thought of as energy that is provided or removed in a concealed form in order to alter a substance's state without altering its temperature. Latent heat of fusion and latent heat of vaporization, which are involved in phase shifts when a substance condenses or vaporizes at a particular temperature and pressure, are two examples. In contrast to latent heat, sensible heat is energy that is conveyed as heat and causes a change in a body's temperature.To learn more about Latent heat, refer:
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calculate the friction force of a 65 kg person if the coefficient of friction for the ground is 0.47
Answer:
299.39N
Explanation:
F=un
n=w=mg⇒ (65)(9.8)=637
0.47(637)= 299.39 N
*your teacher/prof may expect you to round to sig figs*
adding solar panels to the roof that add heat to the inside of the cat house a
answers:
radiation
convection
conduction
Thermal energy from the solar rays heats the black paper. Through conduction, it warms the air in the box's. The warm air circulates inside the box due to convection, preventing it from escaping.
Solar panels: Do they reflect heat from the roof?Researchers at the UC San Diego Jacobs School of Engineering found that solar panels significantly reduced the amount of heat that reached roofs, keeping them 5 degrees cooler than roof areas that were directly exposed to sunshine.
Is installing solar on your roof worthwhile?Installing solar panels on your home is worthwhile if you reside in a region with high energy costs, a sufficient solar rating, and if you have the initial financial means to do so.
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the half-life of iodine-123 is 13.3 hours. how much of a 25.0 mg sample will remain after 39.9 hours?
3.12 mg of sample will remain after 39.9 hours if the half life of iodine is 13.3 hours.
What does half-life mean?Half life of the process is the time necessary for the reaction rate to fall to one-half its original amount. A statistic that is connected to the reaction's rate constant is the split of a first-order order reaction.
Briefing:
Given, Half life of iodine is 13.3 hours. so,
Half life t1/2 = ln 2/ K
k = 0.693 / t1/2
= 0.693 /13.3 hours
= 5.21 *10-2
The flow time is based on rate law which would be different for each emotions. A first-order interaction is one in which only one reactant's concentration affects the rate of the reaction. As a result, it is sometimes referred to as a unimolecular reaction. For this kind of reaction, the rate equation is: The first order reaction's rate constant is,
k= 1/t ln [A]0 / [A]t
t = 39.9 hours
k = 5.21 * 10-2 / hour
putting all the values in the expression of rate constant for first order reaction we get,
[A]t = 3.12mg
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PLEASE HELP - WILL GIVE BRAINLIEST.
Objects 1 and 2 attract each other with a gravitational force of 72.0 units. If the distance separating Objects 1 and 2 is changed to one-half the original value (i.e., halved), then the new gravitational force will be ____ units.
Answer: 288.0 units.
Explanation: If the distance between two objects is halved, the gravitational force between them will be increased by a factor of 4. So if the original gravitational force between Objects 1 and 2 was 72.0 units, the new gravitational force will be 72.0 * 4 = 288.0 units.
Answer: If the distance separating Objects 1 and 2 is halved, then the new gravitational force will be 288.0 units.
Explanation:
a lamp of mass m hangs from a spring scale which is attached to the ceiling of an elevator. when the elevator is stopped at the fortieth floor, the scale reads mg. what does it read as the elevator slows down to stop at the ground floor?
Your brain sends electrical impulses to the remainder of your body through your nerves, which act as cables.
How do medical professionals test for nerve damage?CT or MRI scans can check for cancers, herniated discs, pinched (compressed) nerves, blood vessel abnormalities, and other conditions affecting the bones and blood vessels. testing of nerve function. Your muscles' electrical activity is captured by electromyography (EMG), which can identify nerve damage.
How is nerve injury treated?Your surgeon has two options for nerve repair: either remove the injured portion & reconnect healthy nerve ends, or implant a stretch of nerve from another area of your body (nerve graft). Your nerves can regrow with the aid of these therapies.
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Pt 1
A neutron in a reactor makes an elastic head on collision with the nucleus of an atom initially at rest assume the mass of the atomic nucleus is about 12.5 the mass of the neutron. What fraction of the neutrons kinetic energy is transferred to the atomic nucleus
Pt2
If the initial kinetic energy of the neutron is 4.31x10^ -13 J find it's final kinetic energy answer in units of J
Conservation of momentum states that the momentum remains constant within the problem region. Momentum is neither created nor destroyed, it is changed only by the action of force in the sense of Newton's laws of motion.
For head on elastic collision both momentum and energy are conserved.
Initial Momentum = Final Momentum
v = mv₁ + 12.5mv₂
m = mass of neutron
v = final velocity of neutron after collision
v₁ = initial velocity of neutron
v₂ = velocity of atom
v = v₁ + 12.5v₂
Energy before = energy after
½ m v² = ½ m v₁² + ½ (12.5m) v₂²
v² = v₁² + 12.5 v₂²
We want to find the fraction of the neutron's kinetic energy is transferred to the atomic nucleus.
KE/KE = (½ (12.5m) v₂²) / (½ m v²)
KE/KE = 12.5 v₂² / v²
KE/KE = 12.5 (v₂ / v)²
We need to find the ratio v₂ / v.
Solve for v₁ in the momentum equation and substitute into the energy equation.
v₁ = v − 12.5 v₂
v² = (v − 12.5 v₂)² + 12.5 v₂²
v² = v² − 25 v v₂ + 156.25 v₂² + 12.5 v₂²
0 = -25 v v₂ + 168.75 v₂²
0 = -25 v + 168.75 v₂
25 v = 168.75 v₂
v₂ / v = 25 / 168.75
v₂ / v = 0.148
Hence, the fraction of the kinetic energy transferred is:
KE/KE = 14.1 (0.148)²
KE/KE = 0.296
Part 2/2
If a fraction of 0.296 of the initial kinetic energy is transferred to the atomic nucleus, the remaining 0.704 fraction must be in the neutron.
Therefore, the final kinetic energy is:
KE = 0.704 (4.31 ×10⁻¹³ J)
KE = 3.034 × 10⁻¹³ J
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. a makeup mirror has radius of curvature 54 cm. how far is the upright image from your face if it is 6 times larger?
It is 22.5 cm far the upright image from your face if it is 6 times larger, when radius of curvature is given.
What is a concave mirror?Concave mirror has a reflective surface that is curved inward and is away from the light source and it reflects light inward to one focal point.
Given radius of curvature=54 cm
Focal length= r/2
= 54/2
=27 cm
v is the distance to the virtual image and u is the distance of the object in front of the mirror.
Given v = -6u
As we know that ; 1/f = 1/u +1/v
So now, 1/f = 1/u - 1/6u
= 5/6 u
∴ u = 5f/6= (5* 27)/6
u = 22.5 cm
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What are all the terms that could be used to describe the wave that is produced when a person speaks?
Answer:
Sound
Amplitude Wave
Pitch
Strenght
Explanation:
what is the source of heat for most hot springs and geysers, and how is this reflected in the distribution of these features?
Geothermal heat is the source of heat for most hot springs and geysers.
Geothermal heat, or heat that originates from deep within the Earth, heats hot springs. Water may come into touch with extremely hot rock heated by magma in volcanic zones. Hot springs in volcanically active areas may create superheated water that is so hot than immersion can be dangerous or fatal. The temperature of rocks within the Earth also rises with depth in non-volcanic regions; this temperature rise is known as the geothermal gradient. Water can generate hot springs if it percolates far enough through the crust, coming into contact with hot rocks along the way.
The most well-known geothermal feature is a geyser. Due to intricate interior plumbing, each geyser has distinct characteristics. In a location of volcanic activity, geysers often demand that vast volumes of groundwater fill subsurface cavities. These deep caverns' water is warmed by neighbouring magma. Suddenly, a portion of the water turns to steam and rapidly expands. An burst of heated air and steam forces the suspended in the water column violently out of the vent. Repeating this cycle is possible frequently. Yellowstone National Park contains Old Faithful, a geyser that has been erupting once in every 65 minutes for centuries.
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how big aforce wiil achare of+2c expreiance if placed bin anelectric field of strenght18n/c?
The magnitude of force experienced by the charge is 36 N.
What is electric field?The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.
Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.
Given that:
Amount of charge: q = + 2 C
Magnitude of electric field strength: E = 18 N/C.
So, Magnitude of force applied on the charge: F = qE = +2 ×18 N = 36 N.
So, The magnitude of force experienced by the charge is 36 N.
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Select the correct vectors. a ship moves through the water at 30 miles/hour at an angle of 30° south of east. the water is moving 5 miles/hour at an angle of 20° east of north. identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.
A ship travels across the water at a speed of 30 mph while angled 30 degrees south of east. The water is travelling 20 degrees east of north at a speed of 5 miles per hour. Vector for the ship is 25.98i - 15j mi/h.
What is the direction of the water current?The water is also travelling at a speed of 5 miles per hour at an angle of 20° south of east, which suggests that it is moving in the first quadrant at an angle of 90° - 20° = 70° east of north. So, the water's velocity has an x-component of v3 = 5cos70° = 1.71 mi/h and a y-component of v4 = 5sin70° = 4.7 mi/h.
What does the ship's actual motion's vector look like?V = velocity vector of ship as it goes through water + velocity vector of water current is the velocity vector that accurately depicts the ship's real motion.
Briefing:V = v + v'
= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h
= (25.98i + 1.71i + 4.7j - 15j )mi/h
= 27.68i -10.3j mi/h
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