The difference between two slits is 0.09m
It can be seen that the separation between two consecutive interference maxima is constant and independent of the order observed.
Considering that the small angle approximation is valid then we have to
y1 = (1* 5.10m* d/20) / d
y1 = 0.25
y2 = (1*5.10m*d/15) / d
y2 = 0.34
Therefore, the first order maximum produced by laser 1 is closer to the central maximum than that the 1st order maximum produced by laser 2.
Using a previous result y2 - y1
0.34 - 0.25 = 0.09m
In the young's experiment the angular position of intensity maxima and minima of interference is determined by the separation between the slits, an integer number known as order of interference, and the wavelength of the light used.
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two cars collide inelastically and stick together after the collision. before the collision, the magnitudes of their momenta are
P1+P2, P1-P2 and P2-P1 is the magnitude of their combined momentum.
Before the crash
p₀ = P1 + P2
After crash
pf = (m1 + m2) v
p₀ = pf
P1 + P2 = (m1 + m2) v = Pf
-Car 1 travels to the right
Car 2 =right
Pf = P1 + P2
Car2 = left
Pf = P1-P2
-Car 1 = left
Car 2= right
Pf = -P1 + P2
Car 2 = the left
Pf = -P1 -P2
Momentum is the result of a particle's mass and velocity. A vector quantity with both magnitude and direction is momentum. Isaac Newton's second equation of motion states that the force applied to a particle is equivalent to the time rate of change of momentum.
Any grouping of particles has a momentum equal to the vector sum of their momenta. A modification in one particle's momentum is perfectly balanced by a modification in the momentum of another particle, according to Newton's third law, which states that particles exert equal and opposite forces on one another.
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PLEASE ANSWER WILL MARK BRAINLIEST IF YOU EXPLAIN HOW YOU GOT THE ANSWER!!!!!!
I’m not sure if the answer I chose is correct or not
If there is a decrease in the angle of inclination, the acceleration would decrease accordingly.
What is the acceleration?We know that the acceleration is the change in the velocity of the object with time. Given that the mass of the pulley remains the same and the puly is being moved up the incline as we can see.
We have to also recall that we have been told that the incline is frictionless and as a result we are not going to consider the frictional force. In any case, the force that moves the pully along the incline stull depends on the angle of inclination.
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A ball is projected horizontally with some initial velocity off a cliff 249 meters high It
makes contact with the ground in 5.8 seconds. [Neglect air resistancee.] What is the ball's
initial horizontal velocity? [Show all work, including the equation and substitution with
units.] [2 pts]
The initial velocity of the ball projected from the cliff is 5.8y m/s.
What is the initial horizontal velocity of the ball?The ball projected from the cliff undergoes projectile motion.
The initial horizontal velocity of the ball is calculated as follows:
Velocity = horizontal distance * time taken
The horizontal distance traveled by the ball is not given.
Let the horizontal distance traveled be y
The time taken for the ball to fall = 5.8 seconds
The velocity of the ball = y * 5.8
The velocity of the ball = 5.8y m/s
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what is example of energy in the form of motion
Answer:
The wind is an example of motion energy. A dramatic example of motion energy is a car crash—a car comes to a total stop and releases all of its motion energy at once in an uncontrolled instant.
Explanation:
Please give the brainliest.
Our solar system was created by the gravitational collapse of the _____.
Answer:
Solar Nebula?
Explanation:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. (I thought everyone knew this.)
a spehere with a mass m and a radius r rolls down a ramp that makes an angle theta with the horizontal
The acceleration of the roll ramp is a = mR² sinθ / I + mR²
The mass of the given object is m
And the radius of the given object is r
the angle of the ramp is given as θ
The expression to calculate the given equilibrium of the object :
mgsinθ - f = ma
this implies f = m( a + gsinθ)
Here we can write
I a' = fR
a' = ( m ( a + gsinθ) ) R / I
The expression without the value of friction can be written as
a = Ra'
Substitute the values in the above expression and we will get:
I a = mR² ( a + gsin θ )
On further solving it by opening the brackets we get
a = mR² sinθ / I + mR²
The acceleration of the roll ramp is a = mR² sinθ / I + mR²
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At what radial distance from the center of a toroid of 300 windings does the magnitude of the magnetic field equal that found inside a solenoid that has 400 turns per meter of length? Assume that the current is the same through both devices.The magnitude of the magnetic field inside a toroid of total Ntturns and carrying a current I is, Bt=μ0NtI2πs, where s is the distance of the field point from the center of the toroid. The magnitude of the magnetic field inside a solenoid of Ns turns per unit length and carrying a current I is Bs=μ0NI. So if for a value of s, the magnetic field inside a toroid and a solenoid are the same, then the value of s can be found by using the equation, μ0NtI2πs=μ0NsI.
The radial distance from the center of the toroid is 12 cm such that the magnitude of magnetic field through the toroid is equal to that found inside the solenoid.
It is given to us that -
The toroid has 300 windings
The solenoid has 400 turns per meter of length
We have to find out the radial distance from the center of the toroid if the magnitude of the magnetic field is equal to that found inside the solenoid.
We know that the magnitude of the magnetic field inside a toroid is given by -
[tex]B_{t} =[/tex] (μ₀[tex]N_{t}[/tex]I)/(2[tex]\pi[/tex]s) ------ (1)
where,
s = radial distance from the center of the toroid
I = current flowing through the toroid wire
[tex]N_{t}[/tex] = total turns in the toroid
We also know that the magnitude of magnetic field inside a solenoid is given by -
[tex]B_{s} =[/tex] μ₀[tex]N_{s}[/tex]I ----- (2)
where,
[tex]N_{s}[/tex] = turns per unit length of the solenoid
I = current flowing through the solenoid
Now, it is given to us that the magnitude of magnetic field at a radial distance of s inside the toroid is equal to the magnitude of magnetic field inside the solenoid.
=> [tex]B_{t} =[/tex] [tex]B_{s}[/tex]
=> (μ₀[tex]N_{t}[/tex]I)/(2[tex]\pi[/tex]s) = μ₀[tex]N_{s}[/tex]I
Since it is given that the current is same through both toroid and solenoid, the above equation can be written as -
=> [tex]\frac{N_{t}}{2\pi s} =N_{s}[/tex]
[tex]= > \frac{300}{2\pi s} =400\\= > 800\pi s=300\\= > s = \frac{300}{800\pi } \\= > s = 0.11 m\\= > s = 12 cm[/tex]
Thus the radial distance from the center of the toroid is 12 cm such that the magnitude of magnetic field through the toroid is equal to that found inside the solenoid.
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For general projectile motion with no air resistance, the horizontal component of a projectile's velocity
A. remains a non-zero constant
B. continuously decreases
C. continuously increases
D. first decreases and then increases
E. remains zero
The horizontal component of a projectile's velocity remains non-zero constant for general projectile motion without air resistance. Projectile motion is the motion of an item as defined in physics.
Within the gravitational field. Projectile motion is exemplified by the upward vertical toss of a body. The air resistance that a body experiences during projectile travel is disregarded, leaving only the gravitational force to act on the body. A moving object's velocity is a function of time and measures how quickly its position changes in relation to a frame of reference. When an object is moving, its speed and direction are specified by its velocity. When an object moves, its location in relation to its environment changes.
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An object has total energy Ewhen traveling at a speed of 0.70c) The same object has total energy (when traveling at 0.90c) What is the ratio Ea E? O.00 E=mc2=nMo C2 b) 0.8 c) 1.6 d) 2.7 e) 1.3 Ji-
E1:E2 ratio is 0.60 for an item with total energy E moving at a speed of 0.70c. Total energy of the same thing (when travelling at 0.90c).In order to meet the energy needs of a growing global population.
Total energy strives to deliver energy that is affordable, dependable, and cleaner. The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time is called as speed.
E = mc^2 = Moc^2/(1-(v^2/c^2))^1/2
for, 0.7c = 1/(1-(0.7^2))^1/2 = 1.4
for, 0.9c = 1/(1-(0.9^2))^1/2 = 2.294
E2/ E1 = 1.4/2.294 = 0.60
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What is the most numerous type of receptor? Multiple Choice Tactile receptors Chemoreceptors Photoreceptors Proprioceptors
Tactile receptors are the most numerous type of receptors.
Tactile receptors are the most numerous type of sensory receptors that includes mechanoreceptors (in skin) and mucous membranes.A mechanoreceptor, is a sensory receptor that responds to mechanical pressure or distortion. Mechanoreceptors are innervated by sensory neurons that convert mechanical pressure into electrical signals that, in animals, are sent to the central nervous system.There are three classes of mechanoreceptors: tactile, proprioceptors, and baroreceptors. Mechanoreceptors sense stimuli due to physical deformation of their plasma membranes. They contain mechanically-gated ion channels whose gates open or close in response to pressure, touch, stretching, and sound.To know more about receptors visit:
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If the acceleration due to gravity on the Earth is 10m / (s ^ 2) and an gift has a mass of 50 kg, what is the force applied on the object by gravity?
Answer: BLACKPINK IN YOUR AREA SO GOOD AT MATH
Explanation:
PERIOD AHH MATH IS AAMAZING
Planets a and b are both the same size, but planet b has three times the mass of planet a. How does the weight of an object compare on the two planets?.
A comparison of an object's weight between the two worlds An object's weight is the same on both planets.
Why do objects of the same mass weigh differently on various planets?The weight of an object is determined by its mass and how strongly gravity pushes on it. How far apart two objects are from one another determines how strong gravity is. Because of this, the same thing weights differently on several planets.
What connection between the planets' weight and sizes do you notice?The gravity of planets, moons, and stars is the same. Depending on their size, they have different amounts of gravity. Therefore, gravity is different for larger and smaller planets. A human with more mass has greater gravitational pull, just like the planets.
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A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils.
(a) Find the magnitude of the magnetic field at any point on the z-axis shown in the accompanying figure. (Use any variable or symbol stated above along with the following as necessary: z and µ0. Assume the origin is located halfway between the coils.)
(b) Show that dB/dz and d 2B/dz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
According to the formula, 2 moles of Co will magenetic produce 2 mole of CO2 and 1 mole of O2 prednisone will produce 2 moles of CO2. This is 602 for 1 mole. 0.5 mol of O2 is consumed. 0.344/2 = 0.172 mol
mol O2 is required, so O2 has a limiting reagent, so O2 mol has 0.172 mol, 0.344, therefore Co
: mol CO₂ production= 0.196 Particles
grams CO₂ production = 0.196 • Hook x 44.01 g CO₂ = 8.6259 g.Co₂
grams CO₂ 2.63 g = 863
5.50G 5.50G
MOL VON LA H 5,50 x I Mol 5,998 15.444
444 444
444
444
444
444
44
२८०२
mol CO = massmolar mass 5,50 g xX I mol
28-018 444 4 =4 mol 4
mols of la H 5.50 x × I mols
5.998 15.
0.344 mol. It represents the absolute or relative direction or magnitude that an object is moving in the sense of motion. Used to describe the size or extent of something. In physics, size generally refers to entities.
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A mass of 0.30 kg on the end of a spring oscillates with a period of 0.45 s and an amplitude of 0.15 m. Part A Find the velocity when it passes the equilibrium point. Express your answer with the appropriate units. 0 HA ? V= Value Units Submit Request Answer Part B Find the total energy of the system. Express your answer with the appropriate units. HA ?
The answer is k = 58.486.
Part A. V = 2.094 m/sec
Part B. E = 0.6579 J
Solution:
T = 2√m/k
T² = 4n²m/k
k = 4n²m/T² = 4n² x 0.30/(0.45)²
k = 58.486.
The total energy of a system is the sum of kinetic energy and gravitational potential energy, and this total energy is conserved in one orbital motion. A minimum velocity is required for an object to leave the planet and not return. The total energy operator is called the Hamiltonian operator H and consists of the kinetic energy operator and the potential energy operator. The total energy at any stage of a moving fluid is the sum of the internal static velocity and potential energies at that stage.
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21. The coefficient of friction acting upon a 1500 kg car is 0.75. The car is making a 180-degree turn around a curve with
a radius of 25 meters. Determine the maximum speed with which the car can make this turn.
a. 187.5 m/s
b. 209.44 m/s
c. 13.69 m/s
d. 7.5 m/s
The maximum speed with which the car can make the turn is 13.69 m/s (Option C)
How do I determine the maximum speed?We'll begin by obtaining the force. This can be obtained as follow:
Mass (m) = 1500 KgAcceleration due to gravity (g) = 10 m/s²Normal reaction (N) = mg = 1500 × 10 = 15000 NCoefficient of friction (μ) = 0.75Force (F) = ?F = μN
F = 0.75 × 15000
F = 11250 N
Finally, we shall determine the maximum speed. Details below:
Radius (r) = 25 metersMass of car (m) = 1500 KgForce (F) = 11250 NMaximum speed (v) =?F = mv²/r
11250 = (1500 × v²) / 25
Cross multiply
1500 × v² = 11250 × 25
Dive both sides by 1500
v² = (11250 × 25) / 1500
Take the square root of both sides
v = √[(11250 × 25) / 1500]
v = 13.69 m/s
Thus, the maximum speed is 13.69 m/s (Option C)
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What would be the height of the atmosphere if the air density (a) were uniform and (b) decreased linearly to zero with height? Assume that at sea level the air pressure is 1.0 atm and the air density is 1.3 kg/
The height of the atmosphere would be 7951.33 m.
We are given that,
Pressure = P = 1 atm
Air density = ρ = 1.3 kg/m³
Therefore, the height of the atmosphere when the density is constant can be calculated by,
P = ρ g h
We know that pressure at sea level = 1 atm = 101300 Pa
Thus , putting the values in the above equation,
h = (101300 Pa)/(1.3 kg/m³)(9.8m/s²)
h = 7951.33 m
Therefore, the height of the atmosphere would be 7951.33 m, when the air density is constant.
Note : the correct order of the question is,
Assume that at sea-level the air pressure is 1.0 atm and the air density is 1.3 kg/m3.(a) What would be the height of the atmosphere if the air density were constant?(b) What would be the height of the atmosphere if the air density decreased linearly to zero with height?
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A force of 5. 0 n moves a 6. 0 kg object along a rough floor at a constant speed of 2. 5 m/s.
Answer:
BLACKPINK IN YOUR AREA I AM SO GOOD AT MATH
Explanation:
SO GOOD AT MATH BLACKPINK IN YOUR AREA
A bicycle with 0. 80-m-diameter tires is coasting on a level road at 5. 6 m/s. A small blue dot has been painted on the tread of the rear tire.
The speed of the blue dot when it is 0.80 m above the road is 11.2 m/s
Calculation1:d = diameter of tire = 0.80 m
r = radius of tire = (0.5) d = (0.5) (0.80) = 0.40 m
v = speed of bicycle = 5.6 m/s
w = angular speed of the tire
Speed of cycle is given as
v = r w
5.6 = (0.40) w
w = 14 rad/s
Radians per second. ω ω = 14 rad/s
Calculation2:
v' = speed of blue dot
Speed blue of dot is given as
v' = v + rw
v' = 5.6 + (0.40) (14)
v' = 11.2 m/s
The speed of the blue dot when it is 0.80 m above the road is 11.2 m/s
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Question:
Express your answer in radians per second. ω ω = 14 rad/s Previous Answers Correct Part B What is the speed of the blue dot when it is 0.80 m above the road?
a quantum dot is a small structure of atoms, usually about a nm in size. consider a quantum dot with a single ground state (with energy e0
Quantized energy levels and charge states. One wants to create dots as small as 5 nm using 3D metals.
Why do you use the term "quantum dot"?According to Farré et al. (2011), quantum dots (QDs) are semiconductor nanocrystals with a reactive core that regulates their optical characteristics. These cores are constructed of semiconductors, such as zinc selenide (ZnSe), indium phosphide (InP), cadmium selenide (CdSe), and cadmium telluride (CdTe) (ZnSe).
How may a quantum dot's size affect the light it emits?The band gap energy level and size of a quantum dot are inversely correlated, which changes the frequency and color of the light emitted. Smaller objects produce more intense, bluer light.
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which sublevels are in each of the following principal energy levels? (a) n = 1 (b) n = 2 (c) n = 3 (d) n = 4
The outermost energy shell of the atom, where the electrons are situated in relation to the nucleus. the energy levels are- 1 (only"s"), 2 ("s","p"), 3 ("s","p","d"), 4 ("s", "p", "d", "f").
Describe the concept of energy levels.An atom's energy level is the set distance between its nucleus and any potential location for electrons. Additionally, energy levels might be compared to a staircase's steps.
What exactly does low energy mean?Most major diseases, including heart disease, many types of cancer, autoimmune diseases like lupus and multiple sclerosis, and anemia, commonly manifest with a lack of energy (too few red blood cells). Another typical indicator of depression and anxiety is fatigue. Additionally, a side effect of several drugs is weariness.
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a) a constant head permeability test was performed on a 35 cm2 (cross sectional area) soil sample. the length of the sample was 30 cm, and a 25 cm head difference was applied during testing. if 18 cm3 of water was collected over 80 sec, calculate the coefficient of permeability of the soil. (b) in a falling head permeability test,the head fell from 48 to 22 cm, in 6 minutes. the cross-sectional area of the soil sample is 60 cm2,and the length was 12 cm. if the area of the standpipe was 0.7 cm2, compute the coefficient of permeability of the soil.
The value of the coefficient of permeability is 1.6 × m/sec or 1.6 × cm/sec.
What is the value of coefficient of permeability ?Length = 6 cm
Area of cross-section = 50
Quantity of water = 500 ml
Time taken to flow = 15 mins = 15 × 60 secs = 900 secs
Constant Head = 40 cm
The value of the coefficient of permeability.
The formula to find the coefficient of permeability is given by,
⇒ q = k×i×A
q = Q/t and i = (H/L) on substituting for "q" and "i" in the above equation we get,
⇒ Q/t = k(H/L)A
rearranging the above equation in terms of "k" we get,
⇒k = (Q×L)/(A×t×H) → {equation 1}
Where "k" is the coefficient of permeability, "H" is the head constant, "A" is the area of cross-section, "L" is the length, "t" is the time taken to flow, and "Q" is the quantity of water.
On substituting the given values in equation 1 we get,
⇒ k = (500×6)/(50×900×40) {multiplying the terms}
⇒ k = 3000/18000 {dividing the terms}
⇒ k = 0.0016 = 1.6 × cm/sec or 1.6 × m/sec.
The value of the coefficient of permeability = 1.6 × m/sec or 1.6 × cm/sec
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An 82 kg painter stands on a long horizontal board 1. 55 m from one end. This 27 kg board is uniform, 5. 5 m long, and supported at each end by vertical posts. Waht is the magnitude of the total force provided bhy both posts. With what force does the post that is closest to the painter push upward on the board?
(a) The magnitude of the total force provided by both posts is 1,068.2 N.
(b) The force the post that is closest to the painter push upward on the board is 710.9 N.
What is the total force provided by both posts?
The magnitude of the total force provided by both posts is calculated as follows;
sum of the upward force = sum of downward force
total upward force provided by the post = weight of boar + weight of the painter
total upward force provided by the post = (27 x 9.8) + (82 x 9.8)
total upward force provided by the post = 1,068.2 N
The force the post that is closest to the painter push upward on the board is calculated as follows;
the total downward weight is distributed as follows;
= ¹/₂ (weight of board) + (5.5 - 1.55) / (5.5) x (weight of the painter)
= 0.5 (27 kg x 9.8 m/s²) + 0.72 (82 kg x 9.8 m/s²)
= 710.9 N
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identify a control commonly used by organizations during the output design phase of the physical systems design stage of developing a new system to avoids expensive time delays later in the SDLC process
requesting users' signatures on a document confirming their acceptance of the output form and content design
Which task in the physical design phase of the systems development life cycle (SDLC) takes the longest?Program Development: One of the SDLC's most time-consuming tasks is program development. It is best to use an organized programming process.
The last step in the systems development life cycle is which of the following?Once the implementation phase is over, the last step begins. The system has a defined support approach in place for the maintenance phase.
Which of the following activities takes place during the software development life cycle's system planning and designing phase?The system planning and designing phase of the SDLC includes the parallel run, sizing, and specification freeze phases.
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Based on what you learned about solar activity, select all of the correct statements from the following list.
The Sun does not rotate.
Solar activity can produce auroras and communication blackouts on Earth.
The solar constant never changes.
Sunspots are cooler areas of the photosphere.
Numbers of sunspots vary in approximately an 11-year cycle.
Solar activity can produce auroras and communication blackouts on Earth the correct statements from the following list.
What exactly is solar activity?A fraction of a second to billions of years are covered by the variations in the sun's magnetic field. Solar activity includes coronal mass ejections, high-speed solar winds, solar energetic particles, and solar flares.
Solar flares, coronal mass ejections, high-speed solar wind, and solar energetic particles are the four primary categories that may be used to categorise solar activity that is related to space weather. Only when a solar flare occurs on the sun's surface facing Earth do they have an effect on our planet.
The occurrence of events like solar flares and coronal mass ejections increases when the sun is active.
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the perception of flashing lights on a christmas tree as continuous movement can be explained by the optical illusion
The perception of flashing lights on a christmas tree as continuous movement is due to optical illusion.
Perceptual Illusions: the misinterpretation of a real external, sensory experience. The action of deceiving, especially by appearances. An instance of the sense perception of an external object suggesting a false belief as to its nature.
Induced Motion: an illusion of motion, experienced because we have a strong tendency to assume that the object moves, while the background is stationary.Optical Illusions: an instance of something having an appearance so resembling something else as to deceive the eye; mental misapprehension caused by this. An illusion of vision usually affecting “spatial” relations. Also referred to as ‘visual illusions.’Somatic Illusions: tricks used to make parts of your body feel like they are growing, shrinking, bending, etc. Examples (include) ‘Pinocchio,’ ‘Shrinking Waist,’ ‘Doorframe,’ and ‘Rubber Hand.’To know more about optical illusions visit:
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For the purposes of seeking a theory to explain the formation of the solar system, we identify four major features of our solar system. Which of the following represent these four major features?
- Large bodies in the solar system have orderly motions.
- Planets fall into two major categories (terrestrial and jovian).
- Several exceptions to the general trends stand out.
- Swarms of asteroids and comets populate the solar system.
Planets fall into two major categories (terrestrial and jovian).
a. Planets can be divided into two main groups.
b. The fusing of hydrogen into helium is how the Sun produces energy.
c. Gravity brought about the solar nebula's collapse.
d. There are a tons of comets and asteroids.
The four main characteristics of the solar system are listed above in the order in which they contributed to its origin.
The majority of planets can be divided into two groups: gaseous giants and other terrestrial planets. As a result of the solar chromosphere's solar winds.
This energy powers the fusion of hydrogen and helium in the sun's core, which powers the sun itself. The solar nebula was a cloud of gases and dust that started to spin on its own, drawing the microscopic particles closer due to gravity. In the solar system, there are around 100 billion comets and asteroids.
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can someone please help me find velocity?
Answer:
b
Explanation:
why do we say that force is a vector quantity
Force is a vector quantity because its acceleration times a scalar constant (mass) equals the force (a vector quantity).
Why is force considered a vector quantity?The product of an object's mass and acceleration is used to calculate the force acting on it. A vector quantity is acceleration. Since force is a scalar constant (mass) multiplied by acceleration, which is a vector quantity, force is also a vector quantity (a vector quantity).
Because it genuinely depends on the direction in which a force is applied, force can be thought of as a vector quantity. Physically, the force can be felt as a push or a pull. This is illustrated by many physical examples.
For instance, it makes sense that we must push an object upward in order to make it move upward. It simply remains fixed if we push it downward. Knowing which direction it is pushed is crucial.
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Energy efficiency strategies are based on the assumption that consumers will be willing to pay more in exchange for reduced energy use.
On the premise that consumers will be prepared to pay more in exchange for using less energy, energy efficiency measures are based.
What do you think of the American Council for an Energy Efficient's strategy?Energy efficiency policies, programs, technologies, investments, and habits are advanced by ACEEE through research and outreach. In the future, we want energy efficiency to contribute to the US's economic success, energy security, and environmental sustainability.
How is utilizing multiple policy instruments more effective than use just one?How is utilizing multiple policy instruments more effective than use just one? Wider coverage is possible when many policy instruments are used. Cotton was created by Eli Whitney.
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we've seen that squid can escape from predators by ejecting water. some squid do this at the surface of the ocean, thus launching themselves into the air-a particularly effective escape strategy. (figure 1) suppose a 36 kg squid (not including water) at rest at the surface of the water brings in and quickly ejects 3.0 kg of water to achieve a takeoff speed of 3.5 m/s; these are typical numbers.
The law of conservation of momentum states that when two or more bodies act on each other in an isolated system, their total momentum remains constant unless an external force acts on them. Therefore, it can neither be created nor destroyed.
m₁v₁ = m₂v₂
For the given question:
m₁ = mass of squid (36 kg)
v₁ = velocity of squid (3.5 m/s)
m₂ = mass of water (3.0 kg)
v₂ = velocity of water
Substitute the values:
36 × 3.5 = 3.0 × v₂
v₂ = 42 m/s
The maximum range:
R = (v₂)²/ g
where,
g = 9.8 m/s² and launch angle 45°
R = 3.5²/9.8
R = 1.25 m
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The complete question is as follows:
We've seen that squid can escape from predators by ejecting water. Some squid do this at the surface of the ocean, thus launching themselves into the air-a particularly effective escape strategy. Suppose a 36 kg squid (not including water) at rest at the surface of the water brings in and quickly ejects 3.0 kg of water to achieve a takeoff speed of 3.5 m/s; these are typical numbers.
At what speed does the squid eject the water?
If we ignore lift and drag forces as the squid flies through the air, what is the maximum horizontal range that the squid can achieve before splashing down?
