Answer: 120 m/s?
Explanation:
The string shown below covers a distance of 45 m. What is the wavelength Of the wave shown?
The wavelength of the wave shown in the image is approximately 0.0018 m.
we can see that there are two points marked as "A" on the string, which represents two consecutive peaks of the wave. The distance between these two points is 45 m.
The wavelength of a wave is the distance between two consecutive peaks or troughs of the wave. Therefore, in this case, the wavelength is simply the distance between the two points marked as "A".
Using the ruler provided in the image, we can measure the distance between the two points marked as "A" to be approximately 0.18 cm. However, this measurement is not in meters, which is the standard unit for measuring wavelength.
To convert the measurement to meters, we need to divide it by 100, since there are 100 centimeters in 1 meter. Therefore, the distance between the two points marked as "A" is:
0.18 cm ÷ 100 = 0.0018 m
So the wavelength of the wave shown in the image is approximately 0.0018 m.
learn more about wavelength here
https://brainly.com/question/10728818
#SPJ1
a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
learn more about resolution of vectors from
https://brainly.com/question/17369412
#SPJ1
Question 4 of 25
A person drops two objects from the same height. One object weighs 15 N,
and the other weighs 10 N. How does the mass of the objects relate to the
force of gravity on them?
A. The 15 N object has twice the mass of the 10 N object.
B. The 15 N object has more mass than the 10 N object.
C. The 10 N object has more mass than the 15 N object.
D. The 10 N object has the same mass as the 15 N object.
what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)
Pressure (P) = Density (ρ) × g × Depth (h)
Given: Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Depth (h) = 6 m
Using the given values, one can calculate the pressure:
Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure
= 58800 kg·m⁻¹·s⁻²
Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:
Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)
Pressure = 580.124 atm
Learn more about pressure calculation here.
https://brainly.com/question/32496499
#SPJ1
The water in a fast-moving river causes rocks to bump and scrape against one another. What will happen to these rocks over time?
Over time, these tiny fragments will pile up at the bottom of the river and form sediment. Sedimentation can cause the formation of new rocks or change the structure of existing rocks by burying them.
The water in a fast-moving river causes rocks to bump and scrape against one another. As the rocks scrape against each other, they break off tiny pieces from their surface.
Over time, these tiny fragments will pile up at the bottom of the river and form sediment. Sedimentation can cause the formation of new rocks or change the structure of existing rocks by burying them.
The rocks are going to get smaller and rounder, which is why rocks in fast-moving rivers are usually smoother than rocks in slow-moving water.
The erosion process can also form potholes or other unique shapes in rocks. Furthermore, fast-moving water can push rocks downstream, where they may settle in a new location or be washed away entirely.
The movement of rocks in a river can also change the shape and structure of the riverbed. When rocks are removed from a river, the water may begin to flow differently, which can cause erosion in other areas.
In summary, the rocks will get smaller and smoother over time due to the constant erosion and sedimentation caused by the water in the fast-moving river.
For more such questions on Sedimentation
https://brainly.com/question/15009781
#SPJ8
Compare the force of gravity on a 81 kg mass on the Moon's surface with the force on the Earth's surface. Which force is greater? And by how much (F_Earth / F_Moon)? (Assume the mass of the Earth is 5.97 ✕ 1024 kg, the radius of the Earth is 6.38 ✕ 103 km, the mass of the Moon is 7.35 ✕ 1022 kg, and the radius of the Moon is 1.74 ✕ 103 km.)
Answer:
The force of gravity on an object depends on the mass of the object and the mass and distance of the celestial body it is on or near. The formula for the force of gravity is:
F = G * (m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
To compare the force of gravity on an 81 kg mass on the Moon's surface with the force on the Earth's surface, we need to calculate each force using the above formula and then compare the results.
First, let's calculate the force of gravity on an 81 kg mass on the Earth's surface:
F_Earth = G * (m1 * m2) / r^2
= 6.67 x 10^-11 Nm^2/kg^2 * (81 kg * 5.97 x 10^24 kg) / (6.38 x 10^6 m)^2
= 7.92 x 10^2 N
So the force of gravity on an 81 kg mass on the Earth's surface is 792 N.
Next, let's calculate the force of gravity on an 81 kg mass on the Moon's surface:
F_Moon = G * (m1 * m2) / r^2
= 6.67 x 10^-11 Nm^2/kg^2 * (81 kg * 7.35 x 10^22 kg) / (1.74 x 10^6 m)^2
= 1.32 x 10^3 N
So the force of gravity on an 81 kg mass on the Moon's surface is 1320 N.
Therefore, the force of gravity on the Moon's surface is greater than the force of gravity on the Earth's surface. The ratio of F_Earth to F_Moon is:
F_Earth / F_Moon = 792 N / 1320 N
= 0.6
So the force of gravity on the Moon's surface is about 60% of the force of gravity on the Earth's surface.
Mr. MacDougall got his vehicle stuck in the snow. Being the nice student that you are, you stop to help Mr. MacDougall out of the snow. You exert a force of 350N on his vehicle and manage to push it 15m and completely out of the snow. How much work was done on the vehicle?
Answer:
Explanation:
work done=force*displacement
=350N*15m
=5250 joule
Low air pressure and warm temperatures over land are most likely to result in which of the following weather conditions or events?
A.Clear sunny skies
B. tropical hurricane
C. chance of snow
D.Cloudy skies with rain
What technology do researchers use today to help gather data
Answer:
Researchers use a wide range of technologies today to help gather data, depending on the field of study and the type of data they need to collect. Here are some examples:
Sensors: Sensors are devices that can detect and measure physical quantities such as temperature, pressure, and motion. Researchers use sensors to collect data on the environment, human behavior, and other phenomena.
Drones: Drones or unmanned aerial vehicles (UAVs) are aircraft that are remotely controlled or can fly autonomously. Researchers use drones to collect data from hard-to-reach or dangerous areas, such as remote forests, volcanoes, or disaster zones.
Satellites: Satellites are spacecraft that orbit the Earth and can collect data on a wide range of environmental and climatic factors, such as temperature, rainfall, and ocean currents. Researchers use satellite data to study climate change, natural disasters, and other global phenomena.
Imaging technologies: Imaging technologies such as magnetic resonance imaging (MRI) and computed tomography (CT) scans are used to collect detailed images of the body's internal structures. Researchers use these images to study the human brain, diagnose diseases, and develop new medical treatments.
Social media and online platforms: Social media and online platforms provide researchers with access to large amounts of data on human behavior, opinions, and attitudes. Researchers use this data to study social trends, political movements, and public opinion.
Wearable technology: Wearable technology such as fitness trackers and smartwatches collect data on physical activity, heart rate, and other health metrics. Researchers use this data to study human health and behavior.
These are just a few examples of the many technologies researchers use today to help gather data. The use of advanced technology has revolutionized the way researchers collect and analyze data, allowing them to make new discoveries and gain a deeper understanding of the world around us.
What is the absolute pressure at a depth of 9.91 m below the surface of a deep lake? Assume atmospheric pressure is 1.01×105 Pa .
Answer:
P = 198.118 kPa
Explanation:
Given:
Atmospheric pressure = P\(_{atm\\}\) = 1.01×10⁵
depth = h = 9.91 m
To find:
Absolute pressure P\(_{abs}\)
Solution:
Density of water = ρ = 1.000x10 ³kg/m ³
acceleration due to gravity = ρ = 9.8 m/s²
P\(_{abs}\) = P\(_{atm\\}\) + ρgh
= 1.01×10⁵ + 1.000x10 ³x 9.8 x 9.91
= 101000 + 1000(9.8)(9.91)
= 101000 + 97118
= 198118 Pa
= 198.118 kPa
P\(_{abs}\) = 198.118 kPa
The absolute pressure at a depth below the surface of this deep lake is 198.118 kPa.
Given the following data:
Atmospheric pressure = \(1.01 \times 10^5 \;Pa\)Height (depth) = 9.91 meters.Scientific data:
Acceleration due to gravity = 9.8 \(m/s^2\)Density of water = 1000 \(kg/m^3\)To calculate the absolute pressure at a depth below the surface of a deep lake:
Mathematically, absolute pressure is given by this formula:
\(P_{abs} = P + \rho gh\)
Substituting the given parameters into the formula, we have;
\(P_{abs} = 1.01 \times 10^5 + 1000 \times 9.8 \times 9.91 \\\\ P_{abs} = 101000+ 97118 \\\\\)
Absolute pressure = 198118 Pa
Note: 1 kPa = 1000 Pa
Absolute pressure = 198.118 kPa
Read more on absolute pressure here: https://brainly.com/question/10013312
A liquid X at 25°C is poured to a height of 40cm in a thin capillary tube of length 70cm anc diameter of 1cm. Assume that the volume of the capillary tube does not change with temperature. Find the initial volume of the liquid in cm³
The level within a capillary tube with a radius of 0.45 mm rises to a height of 3 cm above the water's surface when submerged in it.
What is the capillary pressure equation?When water saturation decreases, Pnw outside the pore throat is larger than Pw within the pore throat, resulting in a positive pressure (Pc=PnwPw), which is the definition of capillary pressure.
A micron is equal to 0.001 mm in diameter, therefore the capillaries are just big enough for red blood cells to travel through in a single line. Endothelial cells, which also make up the smooth channel surface of the bigger vessels, are the single layer of cells that make up their walls.
learn more about Endothelial cells
https://brainly.com/question/13152960
#SPJ1
difference between centrifugal and semi-centrifugal clutches
Answer:
Semi-centrifugal clutches are used in high powered race cars, to reduce the driver effort. Working is just like semi-centrifugal clutch.
The clutch action is purely under centrifugal force.
At low engine rpm the centrifugal force is low, so there is slip, as engine rpm increases, so does the centrifugal force.
A Ferris wheel at a carnival has a radius of 10 m and turns so that the speed of the riders is 8 m/s.A. What is the magnitude of the acceleration of the riders?B. What is the magnitude of the net force required to produce this centripetal acceleration for a rider with a mass of 60 kg?
Given
Radius = 10 m
r = 10 m
speed = 8 m/s
Explanation
A. centripetal acceleration, the acceleration of a body traversing a circular path.
\(\begin{gathered} a_c=\frac{v^2}{r} \\ a_c=\frac{8^2}{10} \\ a_c=6.4\text{ m/s}^2 \end{gathered}\)B. Net force
\(\begin{gathered} F=ma \\ F=60\text{ kg*6.4m/s}^2 \\ F=384\text{ N} \end{gathered}\)A plate of iron at 20 °C has shown in the figure below. If the temperature
raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7 o
1, then what is the final area of the plate?
(5
2 m
2 m
The final area of the plate is 4.0000352 \(m^2\) if the temperature raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7.
Expecting that the plate of iron is rectangular, we can involve the recipe for warm extension of solids to compute the last region of the plate. The equation for direct warm development is given by ΔL = αLΔT, where ΔL is the adjustment of length, α is the coefficient of straight extension, L is the first length, and ΔT is the adjustment of temperature.
Since the region of the plate is given by A = L*W, where L is the length and W is the width, we can involve the equation for straight warm extension to compute the adjustment of length of the plate and afterward use it to compute the last region.
ΔL = αLΔT = \((1.1 x 10^-7 m/oC)(2 m)(80 oC) = 1.76 x 10^-5 m\)
The last length of the plate is L + ΔL = 2 m + 1.76 x \(10^-5\) m = 2.0000176 m (approx.)
The last width of the plate is thought to be unaltered as it isn't impacted by the adjustment of temperature.
Thusly, the last region of the plate is A = L*W = (2.0000176 m)(2 m) = 4.0000352 \(m^2\) (approx.)
To learn more about linear expansion, refer:
https://brainly.com/question/14123289
#SPJ1
A force of 7 N acts on an object. The displacement is, say 8 m, in the direction of the force. Let us take it that the force acts on the object through the displacement. What is the work done in this case?
Answer:
cos 0 = 1.
Fs = 7×8 = 56 J
Explanation:
The earth rotates on its axis with a period of 24 hours. What is the frequency in Hertz?
Answer:
The answer is 0.042 Hz (rounded)
or 0.0417 Hz
Explanation:
Hope it helps
Answer:
The answer is 0.041Hz
Explanation:
The answer is 0.041Hz
I guess
Assume that helium behaves as an ideal monatomic gas. If 2 moles of helium undergo a temperature increase of 100 K at constant pressure, how much energy has been transferred to the helium as heat
Answer:
6235.5J
Explanation:
Using ( nစ)p= ncp x change in temp
But cp= ( 1+ f/2)R
So cp= ( 1+ 3/2R
Cp= 5R/2
So = n x 5R/2x 150k
= 2 x 5/2x 8.314 x150
= 6235.5J
Answer:
2500 J
Explanation:
Q=(3/2)nRΔT
Q=(3/2)*2 mol*(8.314 J/mol*k)*100 k
Q=2494 J
A small lead ball, attached to a 1.10-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.3 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise
Answer:
1.84 m
Explanation:
For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.
So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,
a = g + rω²
= 9.8 m/s² + 1.10 m × (18.85 rad/s)²
= 9.8 m/s² + 390.85 m/s²
= 400.65 m/s²
Now, using v² = u² + 2a(h₂ - h₁) where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.
v² = u² + 2a(h₂ - h₁)
So, v² - u² = 2a(h₂ - h₁)
h₂ - h₁ = (v² - u²)/2a
h₂ = h₁ + (v² - u²)/2a
substituting the values of the variables into the equation, we have
h₂ = 1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)
h₂ = 1.3 m + [-430.15 (m/s)²]/-801.3 m/s²
h₂ = 1.3 m + 0.54 m
h₂ = 1.84 m
please help me out with these !! 50 points would greatly appreciate it.
Answer:
Its nymber 2
Explanation:
Which two vectors when added will have the largest positive x component?
Answer:
The Number is concept. It is depending with what you mean by infinity. Some of the numbers include 1 through 2 or infinite. If you work with vector space of tuples with any components could be infinite you just know what typed of infinity work with.
Explanation:
May you have a bless day. And send positive all over the world.
A race car starting from rest accelerates at a constant rate of 3.25 m/s². Find the velocity of the car after it has traveled 32.2 m
please help ASAP I am struggling
The velocity of the race car after it traveled 32.2 meter is 14.47m/s.
What is the velocity of the car after it has traveled 32.2 meters?Velocity is simply the speed at which an object moves in a particular direction.
From the Third Equation of Motion
v² = u² + 2as
Given that;
Initial velocity ( starting from rest ) u = 0Acceleration a = 3.25 m/s²Distance covered s = 32.2 m Final velocity v = ?Plug the given values into the above formula and solve for final velocity.
v² = u² + 2as
v² = (0)² + ( 2 × 3.25 m/s² × 32.2 m )
v² = 2 × 3.25 m/s² × 32.2 m
v² = 209.3 m²/s²
v = √( 209.3 m²/s² )
v = 14.47m/s
Therefore, the final velocity is 14.47m/s.
Learn more about Equations of Motion here: brainly.com/question/18486505
#SPJ1
A straight wire, labeled as Wire A, lies horizontally on a tabletop and is oriented to run north-south. A conventional current of 1.0 amperes runs in the wire directed towards the north. A second wire, labeled as Wire B, is also laid on the tabletop oriented north- south. Which of the following statements is true?
a. If Wire B carries no current in it and lies to the left (west) of wire A, then it will experience an attractive force to the right towards wire A).
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
c. If Wire B carries a northward conventional current and lies to the right (east) of wire A, then it will experience a repulsive force to the right (away from Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
Answer:
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
Explanation:
Two parallel conductors experience attractive force when the current flowing in the conductors are in the same direction.
Also two parallel conductors experience repulsive force when the current flowing in the conductors are in opposite direction.
Therefore, b and d are the correct options.
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
A train is traveling south at 31.2 m/s when the brakes are applied. It slows down with constant acceleration to a speed of 6.00 m/s in a time of 9.00 s.What is the acceleration of the train during the 9.00-s interval? If the acceleration is toward north, enter a positive value. If the acceleration is toward south, enter a negative value.How far does the train travel during the 9.00 s? If the displacement is toward north, enter a positive value. If the displacement is toward south, enter a negative value.
Answer:
Acceleration: \(2.80\; {\rm m\cdot s^{-2}}\) (towards the north.)
Displacement: approximately \((-167)\; {\rm m}\) (towards the south.)
Explanation:
The initial velocity \(u\) of the train (before braking) will be negative since the the train was travelling south. Thus: \(u = (-31.2)\; {\rm m\cdot s^{-1}}\).
The train continues southwards after braking. Therefore, the final velocity \(v\) of the train (after braking) will also be negative: \(v = (-6.00)\; {\rm m \cdot s^{-1}}\).
Find the change in the velocity of the train by subtracting the initial value from the final value:
\(\begin{aligned}\Delta v &= v - u \\ &= (-6.00)\; {\rm m\cdot s^{-1} - (-31.2)\; {\rm m\cdot s^{-1} \\ &= 25.2\; {\rm m\cdot s^{-1}} \end{aligned}\).
Divide change in velocity by the time required \(t = 9.00\; {\rm s}\) to find the (constant) acceleration \(a\) of the train:
\(\begin{aligned} a &= \frac{\Delta v}{t} \\ &= \frac{25.2\; {\rm m\cdot s^{-1}}}{9.00\; {\rm s}} \\ &= 2.80\; {\rm m\cdot s^{-2}}\end{aligned}\).
Note that acceleration is positive since the velocity is becoming less negative. The velocity component of the train towards the south has been reduced.
Apply the SUVAT equation \((v^{2} - u^{2}) = 2\, a\, x\) to find the displacement \(x\) of the train:
\(\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a} \\ &= \frac{(-6.00)^{2} - (-31.2)^{2}}{2 \times 2.80}\; {\rm m} \\ &\approx (-167)\; {\rm m} \end{aligned}\).
Note that displacement is negative since the train keeps travelling south. The position of the train after braking is to the south of where the train was before braking.
consider the picture below illustrating three different regions of earth (the northernhemisphere, the southern hemisphere, and the equatorial region) at two different times ofthe year, six months apart.\\\\\\< sunlight-e?sunsunlight >~.::".,\\\\\\note: this drawing is not to scale. in fact you could fit more than 11,000 earths between the sun and earth.12) which location( s) (a-f) correspond( s) with summer in the northern hemisphere?explain your reasoning.
Location F is significant because it demonstrates that there are winters inside the southern hemisphere but that Antarctica has long, dark days and nights.when the winter season in the Hemisphere is in effect
What time of year do you think it is down south?Seasons are a result of the tilt of the Earth's axis; winter occurs when one hemisphere is pointed toward the sun.The beginning of winter is marked by various cultural definitions, some of which base their dates on the weather.In the Southern Quarter, it's indeed summer when it is winter inside the Northern Hemisphere, and conversely.
What time of year do the northern & southern hemispheres experience?As a result, the first day of spring, summer, autumn, and winter in temperate regions of the northern hemisphere is March 1.In the temperate zone of the southern hemisphere, spring officially starts on 1 September, winter on 1 December, and fall on 1 March.
To know more about southern hemisphere visit:
https://brainly.com/question/22713270
#SPJ1
1. At which point is potential energy the greatest?
1. At which point is kinetic energy the greatest?
Answer:
A ,C
Explanation:
Shows
The compound formed from the elements calcium and chlorine is known as
Answer:
calcium chloride
Explanation:
an inorganic compound,a salt with the chemical formula CaCl2
Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.
Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
How do we explain?In a mixed economy, economic decisions are made by both the government and consumers.
The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.
In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.
The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.
Learn more about Economic Decisions at:
brainly.com/question/30296708
#SPJ1
The speed of an animal is how fast it is moving. A speed of 6 m/s (meters per second) means that the animalmoves a distance of 6 meters every second.
1. How would you measure the speed of an animal?
2. What do you think are the fastest animals?
Answer:
Based on the seconds given or recorded you might multiply seconds by 6 and that will give you your equation format to measure the speed of an animal. Cheetahs and wild boars are the fastest probably.
Explanation:
Find the vector whose magnitude is 36 and inclination is 60°.
The vector whose magnitude is 36 and inclination is 60° is v = <18, 18√(3)>.
The inclination of a vector is the angle between the vector and a reference line. In this case, the reference line is the horizontal axis. Let the components be x and y. We know that the magnitude of the vector is 36, so,
magnitude = √(x² + y²) = 36
Squaring both sides of this equation, we get,
x² + y² = 1296
We also know that the inclination is 60°. The tangent of 60° is √(3), which is equal to the ratio of the vertical component to the horizontal component of the vector,
tan(60°) = y/x
y/x= √(3)
Multiplying both sides by x, we get,
y = √(3)x
Now we can substitute y in terms of x in the equation x² + y² = 1296,
x² + (√(3)x)² = 1296
Simplifying this equation, we get,
4x² = 1296
x² = 324
Taking the square root of both sides, we get,
x = +/- 18
Since the vector is making an angle of 60° with the horizontal, it must be in the first or fourth quadrant, where x is positive. Therefore, we take x = 18. Using y = √(3)x, we get,
y = sqrt(3)18
y = 18√(3)
So the vector is,
v = <18, 18√(3)>
Therefore, the vector whose magnitude is 36 and inclination is 60° is v = <18, 18√(3)>.
To know more about vectors, visit,
https://brainly.com/question/27854247
#SPJ1
A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the formula h=208−16t2h=208−16t2. How many seconds (in tenths) will it take for the rock to hit the ground (h=0)(h=0)?
Time taken by the rock to reach the ground form a height of 208 feet is 3.61 seconds.
The rock is falling freely under gravity. The relation between height and and time for the rock is given.
The rock is at a height of 208 feet.
To calculate the time when rock is hit the ground.
h = 0 feet.
The relation between height and time for rock is given by,
\(h = 208 - 16 t^2\)
Using 0 for the value of h.
\(0 = 208 - 16 t^2\\208 = 16 t^2\)
t = 3.61 seconds.
Time taken by the rock to reach the ground is 3.61 seconds.
To know more about the time taken, here
brainly.com/question/28271195
#SPJ4
--The complete question is, A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the formula h= 208-16t^2. how many seconds will it take for the rock to hit the ground (h=0)?--