The resultant forces in each case is;
a) 22.3 Km
b) 158 Km
c) 15.7 Km
What is the resultant force?Let us note that the resultant force is the force that would have the same effect in magnitude and direction as the the two force that are acting together.
In this case we have been asked to find the resultant of the forces and we would use the triangle method.
a) R = √(10)^2 + (20)^2
R = 22.3 Km
b) R = √(150^2) + (50)^2
R = 158 Km
c) R = √(7)^2 + (14)^2
= 15.7 Km
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an aluminum wire having a cross-sectional area equal to 5.10 10-6 m2 carries a current of 7.50 a. the density of aluminum is 2.70 g/cm3. assume each aluminum atom supplies one conduction electron per atom. find the drift speed of the electrons in the wire.
1.29×10^-4 m/s is the drift speed of the electrons in the wire.
volume=molar mass/density= 26.98g/2.7g/cm3 = 9.99 cm3
n=(6.02E23 electron/volume)*(1.00E6 cm3/ 1 m3) = 6.024E28 m3
V= I/neA= 7.50 A/(6.024E28 m3)×(1.60E-19 C)×(5.60E-6 m2))
V= 1.29×10^-4 m/s
Electrons and other subatomic particles constantly migrate in arbitrary ways. When exposed to an electric field, electrons do travel randomly, but they do so slowly in the direction of the applied electric field. The drift velocity refers to the overall speed of these electrons.
M/s is the SI unit for drift velocity. It can also be expressed in m2/ (V.s). The relationship between the electrons' current density and their drift velocity is straightforward. Additionally, when the strength of the electric field grows, the drift velocity and current flowing through the conductor do as well.
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saturn orbits the sun at more than 50% of the speed of Mars 
true or false????
Answer:
(TRUE) Mars seems to pass the fastest, Jupiter next, and Saturn the slowest. But all exhibit that puzzling quirk--near the point of their celestial course precisely opposite the Sun ("opposition"), their action amongst the stars briefly turns around.
Explanation:
Mars: 24.077 km/s (53,853 miles per
hour), or a period of about 686.93 days.
Answer:is true
Explanation:
two boxes sit side-by-side on a smooth horizontal surface. the lighter box has a mass of 5.56 kg, the heavier box has a mass of 7.51 kg. calculate the contact force between these boxes when a horizontal force of 5.02 n is applied to the light box.
Answer:
18.09
Explanation:
add all the numbers together
would adding mass to the top of a slope in the form of houses or buildings make the mass more or less likely to slide?
adding mass to the top of a slope in the form of houses or buildings make the mass more likely to slide because the houses add weight to the slope making it more unstable.
When a slope breaks, there is mass waste. When a slope is excessively steep and unstable given the materials and environmental factors at play, it fails. The slope angle and the underlying material's strength are the two main criteria that eventually influence slope stability.
On the Earth's surface, the force of gravity, which contributes to mass wasting, is mostly constant, however there are minor fluctuations based on the height and density of the underlying rock. In the illustration, the force of gravity is seen pulling a rock block on a slope down toward the center of the Earth.
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a plane travels 360 km in 3 hours. what is its velocity
The velocity of the plane is 120 km/hr.
How would you define velocity?Velocity is the pace at which an object's location is changing as perceived from a particular point of view and as measured by a certain unit of time (for example, 60 km/h northbound). Velocity is the direction at which an object is traveling. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies. In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). As opposed to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar.
Distance traveled = 360 km
Time taken = 3 hours
Hence, velocity = 360/3 = 120 kmph
Thus, the velocity of the plane is 120 km/hr.
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An atmospheric layer of a specific gas provides shielding from harmful ultraviolet light from the sun, allowing life to thrive on earth. What gas makes up this layer?.
The gas that makes up this layer is Ozone.
The ozone layer protects the earth from most of the sun's UVB rays. Greenhouse gases are a set of gases that accumulate in the lower layer of the atmosphere, the troposphere and absorb infrared radiation to increase the average temperature of the Earth's surface. At the top of the stratosphere, 30 miles up, ozone absorbs most of the sun's harmful UV rays.
At the top of the troposphere 12 miles up, ozone acts as a greenhouse gas and traps heat. The troposphere is the lowest layer of the Earth's atmosphere. Most of the atmospheric mass is in the troposphere. Most types of clouds are in the troposphere, and almost all weather phenomena occur in this layer. Ozone protects the earth's surface from ultraviolet radiation from the sun. The ozone layer reduces the risk of skin cancer.
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40 kg girl and an 8.4 kg sled are on the frictionless ice of a frozen lake, 15 m apart but connected by a rope of negli- gible mass. the girl exerts a hori- zontal 5.2 n force on the rope. what are the acceleration magni- tudes of (a) the sled and (b) the girl? (c) how far from the girl’
a) The acceleration magnitudes of the sled is 0.62 m/s². b) The acceleration magnitudes of the girl is 0.13m/s². c) The distance from the girl is 2.6m.
(a) The girl's force is the sole horizontal force acting on the sled because friction is insignificant. The total of the vertical forces—gravitational force and the normal force of the ice—is zero. The sled accelerates with an acceleration of
a s = F/m s = 52N/8.4kg = 0.62m/s².
(b) The third law of Newton states that the force exerted by the sled on the girl is 5.2N. Her acceleration is equal to a g times m g.
a s= F/m s = 5.2N/40kg = 0.13m/s².
(c) The sled and girl are accelerating in the opposite directions. The coordinate for the girl, assuming she starts at the origin and advances in the +x direction, is given by x g = 2 1 a g t 2. The sled moves in the -x direction and begins at x 0 = 15m. Its location is indicated by the coordinates x s =x 0 2 1 a s t 2. They collide when x g = x s, or when 2 1 a g t 2 = x 0 2 1 a s t 2.
When this occurs
t= a \sg \s \s +a \ss \s
2x \s0
The girl has already traveled the distance x g = 2 1 a s t 2 = a g + a s by that point.
x \s0 \s \s a \sg
\s = \s0.13m/s \s2 \s +0.62m/s \s2
(15m)(0.13m/s \s2 \s ) \s \s =2.6m
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Anya has 115 mangoes lauren has five times the the number of mangoes Anya has they put them together and sold them in the market at $450 to $15 the sold all the mangoes how much money was collected at the end of the sale
$10,350 is the amount of money that has been collected mangoes are sold by Anya and Lauren at $15.
Number of mangoes of Anya's = 115 mangoes
Number of mangoes of Lauren's = 5 × 115 = 575 mangoes
Total number of mangoes = Number of mangoes Anya has + Number of mangoes Lauren has
= 115 + 575
= 690 mangoes
Amount each mango sold = $15
The total amount of money collected = Total number of mangoes × Amount each mango were sold
= 690 × 15
= $10,350
So, therefore, Anya and Lauren sold their total mangoes for $10,350.
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A negative charge of -6.0 x 10-5 exerts an attractive force of 65 N on a second charge 0.50 m away. What is the magnitude of the second charge? Is the second charge negative or positive?
The magnitude of the second charge is 3.01 x 10⁻⁵C.
The second charge is positive.
What is the magnitude of the second charges?The magnitude of the second charge is determined by applying Coulomb's law of electrostatic force as shown below.
F = kq₁q₂/r²
where;
r is the distance between the chargesk is coulomb's constantF is the force between the chargesSubstitute the given parameters, and solve for the magnitude of the second charge as shown below.
q₂ = Fr²/kq₁
q₂ = (65 x 0.5²) / (9 x 10⁹ x 6 x 10⁻⁵)
q₂ = 3.01 x 10⁻⁵C
Thus, the magnitude of the second charge is 3.01 x 10⁻⁵C. Also, since the force is attractive, the second charge must be positive.
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what is the correct answer for this ?
Answer: the correct answer is option "C"
Explanation:
Mr. Mangan is in freefall on Planet Y. His velocity increases from rest to 30 m/s in 1.2 s. If his mass is 86 kg, what is his weight on Planet Y? What is the gravitational field strength on Planet Y?
Explanation:
First, we need to calculate the gravitational field strength g on Planet Y. So, we will use the following e
a train slows down as it rounds a sharp horizontal turn, going from 96.0 km/h to 58.0 km/h in the 16.0 s that it takes to round the bend. the radius of the curve is 120 m. compute the acceleration at the moment the train speed reaches 58.0 km/h. assume the train continues to slow down at this time at the same rate.
The acceleration vector will be the vector sum of the tangential and radial acceleration components because the train is changing both its speed and direction.
Since the train is altering both its speed and direction, the vector sum of the tangential and radial acceleration components will represent the acceleration vector.
The radius of curve and the train's speed can be used to calculate the tangential acceleration, while the elapsed time and changing speed can be used to calculate the radial acceleration.
Let's first convert the speed measurements from km/h to m/s:
v I = 90.0 km/h
= (90.0 km/h) (10 3 m/km) (1 hour and 36 minutes)
= 25.0
m/s v f = 50.0 km/h
= (50.0 km/h) (10 3 m/km) (1 hour and 36 minutes)
= 13.9 m/s
Backwards, the tangential acceleration is equal to a t = t v = 15.0s (13.9 m/s 25.0 m/s = 0.741 m/s 2), and the radial acceleration is equal to a r = r v 2.
Consequently, an is equal to 1.48 m/s 2 inward and 29.9 0 backward.
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If an element starts off with an activity of 100Bq, and its half life is 10 minutes, what would the activity be after 5 minutes???
The radioactivity of the element after 5 minutes is 75 Bq.
What is radioactivity?Radioactivity is a phenomenon exhibited by radioactive elements or isotopes by emitting energy and subatomic particles spontaneously.
The radioactivity of a radioactive element or isotope in becquerels is denoted by decay per second.
The radioactivity of the isotope in becquerels is calculated as follows;
Bq = decay / time
Half life = 10 min
This implies that after 10 minutes, the activity of the element will be; ¹/₂(100 Bq) = 50 Bq
The given time, 5 minutes is not up to 10 minutes, so the element will not be reduced to 50 Bq.
5 minutes = half of 10 minutes
half of 50 Bq = 25 Bq
So after 5 minutes, the element will decay 25 Bq, and the activity will be 75 Bq.
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a capacitor consists of a set of two parallel plates of area ???? separated by a distance ????. this capacitor is connected to a battery that maintains a
The correct answer is option D: halved
Energy becomes half i.e. E' = E/2 if the distance between the plates is doubled.
Let's say the area of parallel plates = A
The distance between plates = d
The potential difference between Plates = V
Now, the capacitance is given by
C = ∈[tex]o[/tex] A / d
If the separation between the plates is doubled then the value of capacitance will become half.
C' = ∈[tex]o[/tex] A / 2d
C' = C/2
Now, we can determine the electrical energy stored in the capacitor which is given by
E = [tex]\frac{1}{2}[/tex] [tex]CV^{2}[/tex]
When the distance between the plates is doubled then energy becomes
E' = [tex]\frac{1}{2}[/tex] x [tex]\frac{C}{2}[/tex] x [tex]V^{2}[/tex]
E' = E/2
Thus, energy becomes half i.e. E' = E/2 if the distance between the plates is doubled.
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The complete question is:
A capacitor consists of a set of two parallel plates of area A separated by a distance d. This capacitor is connected to a battery that maintains a constant potential difference V across the plates. If the separation between the plates is doubled, the electrical energy stored in the capacitor will be: _______
a- doubled
b- unchanged
c- quadrupled
d- quartered
e- halved
Can you explain for me Colomb's Torsion Balance Experiment
The two experiments that Coulomb's to show the relationship between electrostatic force and that law carries Coulomb's name today to include this relationship as a fundamental component.
Torsion balance is used to study the repulsion and attraction forces of charged particles and found that the strength of the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
A bar is suspended from the centre of the torsion balance by a thin fibre. The fibre functions as a flimsy torsion spring.
The torsion balance in Coulomb's experiment was a suspended metal-coated ball attached to one end of an insulating rod.
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a crane lifts a 425 kg steel beam vertically a distance of 79.0 m . how much work does the crane do on the beam if the beam accelerates upward at 1.60 m/s2 ? neglect frictional forces.
The crane does increase the kinetic and potential energy of the beam: W=ΔK+ΔU. Potential energy fluctuates with height while kinetic energy changes with speed W=mΔv2/2+mgΔh.
We should figure out v before moving on. We are aware that the beam is moving 95 meters away at an acceleration of 1.8 text m/s/s. Assuming that the acceleration is uniform and that the initial velocity was 0 m/s.
v2f=v2i+2aΔx
v2f=(0 m/s)
2+2(1.8 m/s2)(95 m) (95 m)
v2f=342 m2/s2 (saving one additional sign. for calculations in the future)
vf=18.5 m/s
Now that we are aware of acceleration vf and v, we may proceed to calculate W.
W=mΔv22+mgΔh
W=m(Δv22+gΔh)
W = 425 kg((18.5 m/s)22+(9.81 m/s2)(95 m))+(9.81 m/s2)
W=(425 kg)(171 + 932 m2/s2)
W=(425 kg)(1103 m2/s2)
W=469000 J→4.7×105 J
The crane does make the beam's kinetic and potential energy higher: W=K+U. In contrast to kinetic energy, which changes with speed W=mv2/2+mgh, potential energy varies with height.
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I NEED HELP URGENTLY! FOR 20 POINTS!
The law of definite proportion states that any sample of the compound will always have the same percentage of each element by weight or mass.
There are four elements that made up matter: air, water earth, and fire is not the main idea of dalton's atomic theory.
What is the law of definite proportion?The Law of Definite Proportion defines that the elements that composed a chemical compound are generally arranged in a definite mass ratio regardless of preparation.
The composition of compounds will always be the same by mass using the law of definite proportions. Chemical compounds are made of elements that are present at fixed ratios in terms of their mass.
In the nitrogen dioxide molecule (NO₂), Nitrogen and oxygen atoms are always present in a 1:2 ratio.
According to Dalton's atomic theory, all matter consists of atoms. The atoms of the same element have the same mass and the atoms of different have different masses and compounds are made of atoms of more than one element.
Therefore, for question (1) option (C) and for (2) option (C) is correct.
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In 1934, the wind speed on Mt.Washington in New Hampshire reached a record high. Suppose a very sturdy glider is launched in this wind, so that in 45.0 s the glider reaches the speed of the wind. If the glider undergoes a constant acceleration of 2.29 m/s2,what is the wind’s speed? Assume that the glider is initially at rest
The wind's speed at the given constant acceleration is 103.05 m/s.
What is velocity of an object?
The velocity of an object is defined as the rate of change of displacement of the object with time.
Mathematically, the velocity of an object is given as;
v = u + at
where;
a is the acceleration of the objectv is the final velocity of the objectt is time of motion of the objectu is the initial velocity of the objectSince the object started from rest, the initial velocity = 0
v = 0 + (2.29 x 45)
v = 103.05 m/s
Thus, the final velocity of the glider will be greater than his initial velocity moving at the constant acceleration.
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Free-body diagrams for four situations are shown below. For each situation, determine the net force acting upon the object. Your answer must include both the magnitude and the direction of the net force vector. You should have four (4) total responses to this question (labeled A, B, C, and D).
Answer:
A) 3 N [south]
B) 0 N
C) 5 N [south]
D) 4 N [east]
Explanation:
A) 5 - 2 = 3
B) equal forces
C) 0 + 5 = 5
D) 7 - 3 = 4
Physical science please help me I’m begging
Answer: the displacmen is 2 blocks north
Explanation:
A 10-kg crate sits on a horizontal floor. What is the maximum static friction that could be exerted on the crate? the coefficient of static friction is 0. 60.
The maximum static friction that could be exerted on the crate is 58.8.
Static friction is a force that keeps an object at rest. Friction is experienced when individuals try to move a stationary object on a surface, without actually triggering any relative motion between the body and the surface on which it is on.
Formula for static friction:
Static friction(max) = Normal force × Static friction
= mg × μ
m = mass = 10kg
g = gravity on the body = 9.8 m/s²
μ = static friction = 0.60
Now putting these values in the equation, we get:
Static friction = 10 × 9.8 × 0.60
= 58.8
Therefore the static friction is 58.8.
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A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes a
smooth, flat slab of crown glass at an angle of 30.0° to the normal.Find the angle of refraction, θr .
The angle of refraction for the light ray with the wavelength of 589nm traveling through air strikes a crown glass at 30.0° incidence is 19.2°.
What is refraction?Refraction is the quantity used to measure the amount of refraction taking place at any boundary when light passes between the two mediums.
Refractive index can be calculated using Snell's law, the formula for calculating angle of refraction is as follows:
n₁/n₂ = sinФ₁/sinФ₂
n₁. sin(i) = n₂. sin(r)
where, n₁ = refractive index of medium 1
n₂ = refractive index of medium 2
i = angle of incidence in air
r = angle of refraction in glass
Therefore, by putting the values in this formula we can get the angle of refraction.
(1) × sin(30°)=(1.52) × sin(r)
sin(r)= 1/2 × 1.52
sin(r) = 1/ 3.04
r = sin⁻¹(0.328)
r = 19.2°
Therefore, Angle of refraction = 19.2°
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Your question is incomplete, most probably the complete question is:
A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes a smooth, flat slab of crown glass at an angle of 30.0 to the normal. If the index of refraction of the crown glass is 1.52 and the index of refraction of air is 1. Find the angle of refraction.
What are the characteristics of light?
Explanation:
intensity, direction, color, contrast, hardness
Question at position 3
The table shows mass and weight data of some common items.
Based on the data, which conclusion is valid regarding the relationship between the force of gravity, mass, and weight?
The table shows mass and weight data of some common items.
Based on the data, which conclusion is valid regarding the relationship between the force of gravity, mass, and weight?
The weight of an object depends on the force of gravity of the planet, but the mass does not.
Neither the mass nor the weight of an object depends on the force of gravity.
The mass of an object depends on the force of gravity of the planet, but the weight does not.
Both the mass and the weight of an object depend on the force of gravity.
An increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass. It depends on the object's mass and acceleration due to gravity.
Mass is an intrinsic unchanging property. Weight is a force and it depends on gravitational force. This force is directly proportional to mass the more mass the object has the stronger the force of gravity will be. Because of this, it turns out that gravity does not matter when we compare the distance traveled by objects with different masses. The important part of the force is air resistance also called drag.
The slope of the graph is the relationship between weight and mass. The slope tells how many newtons of weight pull down on each kilogram of mass. Mass is the measure of the amount of matter in an object. This is an immutable property inherent in the body. Mass cannot be destroyed or created. Weight is the production of mass and acceleration due to gravity.
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a small boat was initially drifting at 0.5 m/s down stream. the person in the boat rolled the oar for 20 s, and the boat ended traveling upstream at 2 m/s. if the boat and person weighs a total of 200 kg, what was the average net force on the small boat during the 20s period?
25 Newton is the average net force on the small boat during the 20s period
initial velocity of boat=0.5m/s
after t= 20s, velocity of boat= -2m/s
acceleration of boat=
[tex]a=v-u/t=-2-0.5/20[/tex]
[tex]a=-0.125m/s^2[/tex]
total weight= 200 kg
average net force= ma
average net force=200×0.125
average net force=25N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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When you drop a .44 kg apple earth exerts a force on it that accelerates it at 9.8 m/s^2 towards the earth's surface. newtons third law, the apple must exert an equal but opposite force on earth. if the mass of earth is 5.98 x 10 ^24 what is the magnitude of the earths acceleration towards the apple
If the mass of earth is 5.98 x 10 ^24 Then magnitude of the earths acceleration towards the apple 6.56 * 10^(-25) m/s²
A key concept in science is the concept of magnitude in physics. The general quantity or distance is referred to as magnitude. When it comes to the elements of movement, we can tie magnitude to an object's size and motion speed.
A particular object's magnitude is determined by its size or quantity. For instance, when it comes to speed, if a car is moving at a quicker rate than a nearby motorcycle, the magnitude of the automobile's speed is greater than the speed of the motorcycle. Although they contain directions as well as magnitude, vector quantities. Vector quantities include things like force, acceleration, speed, velocity, and many others. A vector's absolute value is referred to as its magnitude.
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An object is thrown up from the top of a building of height h with an initial velocity v,. The object reaches its maximum height and then returms down to the ground. The velocity of this object when it reaches the maximum height is equal to:
Maximum height of the object is the highest vertical position along its trajectory. The object is flying upwards before reaching the highest point - and it's falling after that point. It means that at the highest point of projectile motion, the vertical velocity is equal to 0 (Vy = 0)
In which type of circuit must the voltage always be the same across each
resistor/branch.
A: Series Circuit
B: Parallel Circuit
C: Both
Look at the energy bar graph on the left. The total energy does not move, as it shows the maximum energy used or stored at any given instant. However, the potential energy and kinetic energy are constantly changing. Why?
The potential energy and kinetic energy are constantly changing because of law of energy conservation as the kinetic energy is constantly being converted into potential energy and vice versa.
What is the law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
The total mechanical energy of any system is made up of kinetic energy and potential energy.
The kinetic energy is the energy of the object due to its motion while the potential energy is the energy of the object due to its height above the ground.
Based on the law of conservation of energy, the kinetic energy of an object can be converted into potential energy and from potential energy to kinetic energy.
Thus, the potential energy and kinetic energy are constantly changing because of law of energy conservation as the kinetic energy is constantly being converted into potential energy and vice versa.
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2. A peregrine falcon dives 83 m/s to the South-East at a 30 degree angle. What is the x-axis component (East/West) of its velocity? What is the y-axis component (North/South) of its velocity?
The x - component and the y - component of the falcon will be 71.88 a[x] m/s and 41.5 a[y] m/s respectively.
What are the components of a vector?Any vector (say [V]) can be resolved along the axes of two - dimensional coordinate system such that the vector components along this direction will be -
[x] = VcosФ a[x]
[y] = VsinФ a[y]
Given is peregrine falcon dives 83 m/s to the South-East at a 30° angle.
Now, the x - component of the falcon will be -
[x] = 83 cos (30) = 71.88 a[x] m/s
Similarly, the y - component of the falcon will be -
[y] = 83 sin(30) = 41.5 a[y] m/s
Therefore, the x - component and the y - component of the falcon will be 71.88 a[x] m/s and 41.5 a[y] m/s respectively.
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