Overproduction is caused by price supports. Governments assist farmers to increase production by subsidising prices above the point at which the market clears. Farmers use more inputs per acre in order to produce more. Additionally, they compete with one another for the limited supply of farmland, driving increasing the cost of it.
What is agricultural price supports ?Agricultural assistance is defined as the annual dollar amount of gross consumer and taxation transfers to agriculture resulting from governmental policies that support agriculture, independent of the goals or effects on the economy.
The link between price and supply is generally positive since farmers will typically desire to increase the quantities they bring to market. It demonstrates that goods manufacturers are willing to create more as the price rises.Learn more about Agricultural price supports here:
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A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
Answer:
2 m/s²
Explanation:
To calculate the acceleration of an object, we use the following formula:
[tex]\boxed{a = \frac{v - u}{t}}[/tex],
where:
• a = acceleration
• v = final speed
• u = initial speed, and
• t = time taken
We are told in the question that the final speed of the helicopter is 40 m/s, its initial speed is 30 m/s, and that the time it took to get from 30 m/s to 40 m/s is 5 seconds.
Therefore, using this information, as well as the formula above, we can evaluate the acceleration of the helicopter:
[tex]a = \frac{40 - 30}{5}[/tex]
[tex]= \frac{10}{5}[/tex]
[tex]= \bf 2 \: m/s^2[/tex]
So the acceleration of the helicopter is 2 m/s².
Particle 1 is moving on the x-axis with
an acceleration of 3.37 m/s² in the positive
x-direction. Particle 2 is moving on the y-
axis with an acceleration of 5.18 m/s² in the
negative y-direction. Both particles were at
rest at the origin at t = 0 s.
Find the speed of particle 1 with respect to
particle 2 at 2.83 s.
Answer in units of m/s.
The speed of particle 1 with respect to particle 2 which is moving perpendicular to each other at 2.83 s is 20.89 m / s
a = v / t
v = x / t
[tex]a_{1}[/tex] = 3.37 m / s²
[tex]a_{2}[/tex] = 5.18 m / s²
t = 2.83 s
[tex]v_{1}[/tex] = [tex]a_{1}[/tex] * t
[tex]v_{1}[/tex] = 3.37 * 2.83
[tex]v_{1}[/tex] = d[tex]x_{1}[/tex] / dt = 9.54 m / s
[tex]v_{2}[/tex] = [tex]a_{2}[/tex] * t
[tex]v_{2}[/tex] = 5.18 * 2.83
[tex]v_{2}[/tex] = d[tex]x_{2}[/tex] / dt = 14.66 m / s
[tex]x_{1}[/tex] = [tex]v_{1}[/tex] * t
[tex]x_{1}[/tex] = 9.54 * 2.83
[tex]x_{1}[/tex] = 27 m
[tex]x_{2}[/tex] = [tex]v_{2}[/tex] * t
[tex]x_{2}[/tex] = 14.66 * 2.83
[tex]x_{2}[/tex] = 41.49 m
Since they are moving perpendicular to each other, they make a right angled triangle. According to Pythagoras theorem,
[tex]x_{3} ^{2}[/tex] = [tex]x_{1} ^{2}[/tex] + [tex]x_{2} ^{2}[/tex]
On differentiating with respect to t,
2[tex]x_{3}[/tex] d[tex]x_{3}[/tex] / dt = 2[tex]x_{1}[/tex] d[tex]x_{1}[/tex] / dt + 2[tex]x_{2}[/tex] d[tex]x_{2}[/tex] / dt
41.49 ( d[tex]x_{3}[/tex] / dt ) = 27 ( 9.57 ) + 41.49 ( 14.66 )
d[tex]x_{3}[/tex] / dt = ( 258.4 + 608.24 ) / 41.49
d[tex]x_{3}[/tex] / dt = [tex]v_{12}[/tex] = 20.89 m / s
Therefore, the speed of particle 1 with respect to particle 2 at 2.83 s is 20.89 m / s
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Which of the following statements is TRUE?
A. When muscles contract they become longer.
B. Involuntary muscle can be identified by its unique striped appearance.
C. The biceps and quadriceps are an antagonistic pair.
D. The origin of a muscle is attached to the bone that does NOT move.
What is a magnitude of the vectors for A and B?
A vector is a physical quantity that has both magnitude and direction
What is the magnitude of a vector?A two dimensional vector represented by r = xi + yj has the magnitude r = √(x² + y²) where
x = x component of vector r and y = y component of vector r.Also, a three dimensional vector represented by r = xi + yj + zk has the magnitude r = √(x² + y² + z²) where
x = x component of vector r y = y component of vector r and z = z component of vector r.Given a vector r = 3i + 4j, we find its magnitude thus r = √(x² + y²) where
x = 3 and y = 4So, r = √(x² + y²)
r = √(3² + 4²)
r = √(9 + 16)
r = √25
r = 25 units
Also, given a vector r = 3i + 4j + 5k, we find its magnitude thus r = √(x² + y² + z²) where
x = 3 y = 4 andz = 5So, r = √(x² + y² + z²)
r = √(3² + 4² + 5²)
r = √(9 + 16 + 25)
r = √(25 + 25)
r = √50
r = 5√2 units
So,
The magnitude of a two dimensional vector represented by r = xi + yj is r = √(x² + y²) and The magnitude of a three dimensional vector represented by r = xi + yj + zk is r = √(x² + y² + z²)Learn more about magnitude of a vector here:
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What is the equation for velocity?
Velocity = distance + time
Velocity = distance / time
Velkocity = distnace - time
Velocity = distance * time
Answer:
The equation for velocity is: Velocity = distance / time. Velocity is a measure of the speed at which an object moves in a specific direction. The equation for velocity states that the velocity of an object is equal to the distance it travels divided by the time it takes to travel that distance. This equation can be used to calculate the velocity of an object if the distance it travels and the time it takes to travel that distance are known.
Explanation:
What does a coat do?
O Coats speed up heat transfer.
O Coats make people cooler.
O Coats slow heat transfer.
O Coats make people warmer.
Answer: Coats make people warmer.
Explanation: Coats help keep us warm due to the fillings inside the materials.
A peregrine falcon dives at a pigeon. The falcon starts downward from rest and falls with free-fall acceleration. If the pigeon is 68.6 m below the initial position of the falcon, how long does the falcon take to reach the pigeon? Assume that the pigeon remains at rest. The acceleration of gravity is 9.8 m/s².
The falcon take 14 seconds to reach the pigeon.
What are equation of motion ?A mathematical expression that expresses the location, speed, or acceleration of a body in relation to a specified frame of reference is called as Equation of motion,
By using equation of motion
s = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
where, s = total distance travelled by an object = 68.6 m
g = acceleration of gravity = 9.8m/[tex]s^{2}[/tex]
t = time taken to travel the distance = ?
Therefore, t = [tex]\sqrt{2s/g}[/tex]
t = [tex]\sqrt{2*68.6/9.8}[/tex]
t = 14 seconds
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Create a series of eight successive displacements that would program a robot to move in an octagonal path that is as close as you can get to approximating a circle. The robot should return to its starting point after the eighth displacement. What total distance does the robot move? Calculate the radius of the circle that has this distance as its circumference.
Answer:
Ex; If the robot traveled 20 cm around the octagon then the circle circumference = 20 cm
Use the equation circumference = 2 π radius to calculate radius(C = 2πr)
If circumference = 20cm; radius = circumference / ( 2 π) = 20/6.28= 3.18 cm. Use your scale to express your answer in meters, km, etc
now set the protractor distance measure as 3.18 cm, place the protractor's metal spike at the octagon center and draw the circle.
Explanation:
why does the acceleration due to gravity have to be measured in an airless tube?
It is measured in the airless tube because there is no air to offer resistance to the fall of the object.
What is the acceleration due to gravity?The acceleration due to gravity refers to the acceleration that is imparted to a body because of its movement in the earth's gravitational field. Irrespective of mass, all objects move with the same acceleration in the earth gravitational field.
If air is present, air resistance makes it appear as if different masses are accelerated to different amounts. Thus, the acceleration due to gravity is measured in an airless tube the where there is no air to offer resistance to the fall of the object.
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1. A car having an initial velocity of 12 meters per
second east slows uniformly to 2 meters per
second east in 4.0 seconds. The acceleration of
the car during this 4.0-second interval is
Answer:
5/2m/s^2
Explanation:
Acceleration is change in velocity divided by change in time. You might have seen it written like this:
ΔV/Δt
in this case, your change in velocity is -10m/s and your change in time is 4s thus your acceleration is -5/2m/s^2
a Think of a behavior that you have that you would like to change. How could
behavior modification, specifically positive reinforcement, to change
your behavior? What is
your positive reinforcer?
A part of me which I would love to change is over trusting people around me.
Behavior modification, particularly that of positive reinforcement can help anyone to shift balance by learning to control what stimulates the character.My positive drive which may likely repeat my old behavior is my hyperemmotionality Changing ones behavior through positive reinforcementIt happens that there is always a solution to every problem as long one one is willing to make an ammend. I as as person have been hurt many countless times by friends which I am giving my possible best to withdraw from over trusting someone who will later hurt me.
I have been able to modify this by making sure I am not too emotional on anything, keeping my words to myself and revealing my weaknesses to anyone.
So therefore, behavioral modification is very important to every individual who has a character that needs to be changed.
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What element has 31 neutrons and is in group 10
Answer:
Nickel is the correct answer here.
Questions
High-speed video can record sporting events at a
frame rate of 60 frames per second (frame/s).
What is the time interval between one frame
and the next?
8
a
b
If we can see 24 frame/s as continuous motion,
by what factor can the action recorded at
60 frame/s be slowed down and still look
continuous?
The time interval between one frame and the next is 1/60 second and it needs to be slowed down by a factor of 2.5.
The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
The frame rate of a high-speed video while recording sporting events is 60 frames per second.
Let's say the time interval between one frame and the next is x.
Using the unitary method,
60 frames → 1 sec
1 frame → x second
So, x = 1/ 60 second
Now, in continuous motion, we can see 24 frames per second.
60 frames per second need to be slowed down to 24 frames per second.
Therefore the factor will be:
= ( 60/24 ) = ( 15/6 ) = ( 5/2 ) = 2.5
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what is kineamatics (60 words)
Kinematics is the study of motion of an object without considering the forces that caused the object to move.
Kinematics is a branch of mechanics, which is used to study about mechanical bodies or mechanical systems without the reference of the body's/system's physical properties or the forces acting on it.
Kinematics models different motion mathematically with the help of algebra. Therefore, it is referred as geometry of motion. The modelling is done to calculate the various factors of motion such as speed, acceleration etc.
Therefore, Kinematics is the study of motion of an object without considering the forces that caused the object to move.
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We are in an elevator going down at constant speed. All these forces are acting on us, except:
A- air drag
B- a torque
C- gravity
D- a reaction from the elevator floor
In an elevator going down at constant speed. All these forces are acting on us, except option B. a torque.
Torque is the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.
Torque is the torque that interacts with the torque of the motor and measures how much of that torque is available when the motor is exerting itself. Torque is present in everyday events. B. Turning a doorknob, opening a soda bottle, using a wrench, pedaling a bicycle.
Constant speed means that the velocity does not change at all for each second of movement. The example of driving a car with cruise control shows constant speed. Constant acceleration means that the velocity increases at the same constant rate every second of his.
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At 10–10 s during the evolution of the universe,
formed, which are elementary particles that make up protons and neutrons.
At 10⁻¹⁰ s during the evolution of the universe, quarks formed, which are elementary particles that make up protons and neutrons.
The three subatomic particles.Generally, an atom comprises three (3) distinct subatomic particles and these include the following
Protons.Neutrons.Electrons.What are protons?Protons can be defined as the positively charged subatomic particles that are found in the nucleus of a chemical element and they have a magnitude of +1. Also, the number of protons in the nucleus of a chemical element always the same as its atomic number.
What are quarks?Quarks can be defined as the elementary particles that make up both protons and neutrons, and they are the basic component of matter. Also, quarks have a charge that's approximately equal to 1.07 × 10⁻¹⁹ Coulomb.
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Complete Question:
At 10⁻¹⁰ s during the evolution of the universe, ________ formed, which are elementary particles that make up protons and neutrons.
A sphere of radius =0.280 m and uniform charge density 151 nC/m^3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50 and 4.00, respectively. If the conducting shell carries a total charge of =−11.9 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution.
The magnitude of the electric field at the given radial distances from the center of the charge distribution is, For the first case electric field=E₁= 1211.37N/C, For the second case electric field =E₂=762.82 N/C, For the third case electric field= E₃= 3276.7 N/C, For the fourth case electric field=E₄=555.04N/C
What is electric field?Electric field is defined in a way that a field is present in a frame. There is two electric source is present that associated with each other and make the field electrified and source of electric. It can be shown in electric per unit area.
How can I calculate the electric field?The conducting shell carries a total charge of=Q=−11.9 nC=11.9*10⁻⁹C
A sphere of radius=R =0.280m
A uniform charge density of a sphere=ρ₁= 151 nC/m³= 151×10⁻⁹C/m³
A uniform charge density of a spheric shell,
ρ₂=Q/(4/3)π[(4.00R)³−(3.50R)³]
Or,ρ₂=3Q/4πR³[(4.00)³−(3.50)³]
Or,ρ₂=3*11.9*10⁻⁹/4π(0.280)³[(4.00)³−(3.50)³]
Or,ρ₂=6.15*10⁻⁹ C/m³
We know the law of electric field,
E=(1/4πϵ₀)*(q/r²)
(a) r₁=0.76R
The electric field, in this case, can be given as:
E₁=(1/4πϵ₀)*(q₁/r₁²)
Or, E₁=(1/4πϵ₀)*(ρ₁*{(4/3)πr₁³}/r₁²)
Or, E₁=(1/4πϵ₀)*(ρ₁*(4/3)πr₁)
Or, E₁=9*10⁹*( 151×10⁻⁹*(4/3)π*0.76*0.280)
Or, E₁= 1211.37N/C
According to the calculation, The electric field for this case is, E₁= 1211.37N/C
(b) r₂=3.65R
The electric field, in this case, can be given as:
E₂=(1/4πϵ₀)*(q₂/r₂²)
Here, q₂=Q+(4/3)π[(4.00)³−(3.50)³]
Or, q₂=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]
Or, q₂=88.488*10⁻⁹C
Now, E₂=(1/4πϵ₀)*(q₂/r₂²)
Or, E₂=(1/4πϵ₀)*(88.488*10⁻⁹/(3.65*0.280)²)
Or, E₂=762.82 N/C
According to the calculation, The electric field for this case is, E₂=762.82 N/C
(c) r₃=2.30R
The electric field, in this case, can be given as:
E₃=(1/4πϵ₀)*(q₃/r₃²)
In this case, electric charge enclosed by the Gaussian surface is given by: q₃=151×10⁻⁹C/m³
Now, E₃=(1/4πϵ₀)*(q₃/r₃²)
Or, E₃=(1/4πϵ₀)*(151×10⁻⁹/(2.30*0.280)²)
Or, E₃= 3276.7 N/C
According to the calculation, The electric field for this case is, E₃= 3276.7 N/C
(d) r₄=4.50R
Here, q₄=Q+(4/3)π[(4.00)³−(3.50)³]
Or, q₄=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]
Or, q₄=88.488*10⁻⁹C
Now, E₄=(1/4πϵ₀)*(q₄/r₄²)
Or, E₄=(1/4πϵ₀)*(88.488*10⁻⁹/(4.50*0.280)²)
Or, E₄=555.04N/C
According to the calculation, The electric field for this case is, E₄=555.04N/C
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The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 132-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.
The moment of the force about point A found using the moments formula, [tex]|M| = |F| \cdot \: d \perp[/tex] is 67.695 ft–lb.
What is the moment of a force?The moment of a force is the turning effect of the force about a point.
The moment of the force is given by the formula;
[tex]|M| = |F| \cdot \: d \perp[/tex]
Where;
d = The perpendicular distance from the point to the line of action of the force.
The length of the sides of ∆ABC are;
AB = √(20.5²+4.38²) ≈ 20.9626907
BC = √(17.2²+7.62²) ≈ 18.812347
AC = √((7.62+4.38)²+(20.5-17.2)²) ≈ 12.4454811
The semi–perimeter of triangle ABC = (20.9626907 + 18.812347 + 12.4454811)/2 ≈ 26.1102594
The area, A, of triangle ∆ABC found using Heron's formula is therefore;
A = √((26.1102594×(26.1102594-20.9626907)×(26.1102594-18.812347)×(26.1102594-12.4454811)) ≈ 115.773
The perpendicular distance, d, from point A to BC is therefore;
d = A/(BC)
Which gives;
d = 115.773/18.812347 ≈ 6.15409696
The magnitude of the moment about point A is therefore;
M = 132 lb × 0.51284138 ft. ≈ 67.695 ft.–lb
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Can anyone solve this problem?
The question has two parts
beginning with part 1:
R1 and R2 are in series
R3 and R4 are in series with each other
R5 and R6 are in series with each other
R3 and R4 are parallel to R5 and R6
it is given that R1=R2=R3=R4 =2 Ohm
R5=R7=1 Ohm
R6 = 3ohm
We know that resistance is the sum of resistances in series and reciprocal sum of resistances in parallel
R1+R2=2+2=4 ohm
R3+R4 = 2+2 = 4ohm
R5+R6 =1+3=4Ohm
R3 and R4 and R5 and r6 are in parallel = 4 x 4/4+4 = 16/8 = 2 ohm
Resultant resistance = 4 + 2 +1 =7 phms
In part 2 of the question,
R1=R7=2 ohm
R2=R3=R6 =1 ohm
R4=R5=3 ohm
R2,R3 are in series, R5 and R6 are in series
R2,R3 AND R4 and R5 ,R6 in parallel
R2+R3 = 1+1 =2 ohm
R5 +R6 = 3+1 =4 ohm
R2,R3 AND R4 and R5 ,R6 in parallel= 1/(1/2+1/4+1/3 )=v 1/(6+3+4)/12
=12/13
Resultant resistance = 2+2+12/13 =4.93 ohm
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Which unit is not a unit of velocity
Answer:
m/s^2
Explanation:
m/s^2 is a unit of acceleration.
You hike two thirds of the way to the top of a hill at a speed
of 3.5 mi/h and run the final third at a speed of 6.5 mi/h.
The correct answer is 4.14456 mi/hour.
The entire distance that an object travels in a given amount of time is the definition of average speed for that object. You can figure it out by dividing the overall distance traveled by the overall journey time.
When an object travels a distance at a variety of speeds, its average speed is the speed at which, if the object moves uniformly, it will travel the same distance in the same amount of time.
average speed= total distance / total time
total distance = 1 mile
The total time = 2 / ( 3 × 3.5 ) = 0.190 hour
time for coming = 1 / (3 × 6.5 ) = 0.05128 hour
Thus the average speed = 1 / ( 0.190 + 0.05128 ) = 1 / 0.24128 = 4.14456 mi/hour.
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A tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes. How far would it have traveled?
If a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes, then it would have traveled 37.49 meters
What is speed?The total distance covered by any object per unit of time is known as speed.
It depends only on the magnitude of the moving object.
As given in the problem a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes.
The distance traveled by the tumbleweed = speed ×time
= 16.3 meters/minute×minutes
=37.49 meters
Thus, the distance traveled would be 37.49 meters.
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Which quantity or quantities is/are increasing for the object represented by Line B?
(1 point)
O velocity and acceleration
O velocity and position
O velocity only
velocity, position, and acceleration
Answer:
Explanation:
velocity and position
Answer:
A. Velocity and position
Took the test.
A rock is dropped from a sea cliff, and the sound of it
striking the ocean is heard 2.7 s later. If the speed of sound is 340 m/s, how high is the cliff?
The height of the cliff is 88 m.
The initial velocity of the rock, when it is dropped is V(i) = 0 m/s.
The sum of the time taken by the rock to reach the surface of the ocean from the sea cliff and the time taken by the sound of the splash of the rock to the ears of the person who threw the rock is t = 2.7 s.
The speed of sound in air is V(s) = 340 m/s.
The acceleration due to gravity is g = 10 m/s².
The displacement made by the rock during this period will be as follows if we use the kinematic equation for translational motion under gravity and assume that the time it takes the rock to reach the ocean's surface is t₁ :
d = 0 − h = V(i) × t₁ + (1/2) × (− g ) × ( t₁ )²
Since the positions of the rock are taken from the surface of the ocean.
Substituting the values in the equation.
t₁ = √ [ 2h/g ]
( t₁ )² = 2h / g
Since sound moves through the medium at a constant speed, the following is how long it will take for the sound to reach the rock-thrower:
t₂ = h / V(s)
h = V(s) × t₂
Therefore,
( t₁ )² = ( 2 × V(s) × t₂) / g
Now, since t = t₁ + t₂ , therefore, t₂ = t − t₁ .
( t₁ )² = ( 2 × V(s) × ( t - t₁ ) ) / g
( t₁ )² = 2 × ( 340 ) ×( 4.5 − t₁ ) / 10
( t₁ )² = 306 − 68 t₁
Now,
( t₁ )² - 306 + 68t₁ = 0
By using the quadratic formula,
t₁ = { − 68 ± √ [( 68 )² − 4 × ( 1 ) × ( − 306 )] } / 2 × ( 1 )
t₁ = − 68 ± 76.47 / 2
( t₁ = − 68 + 76.47 / 2 = 4.24 s) and;
( t₁ = − 68 − 76.47 / 2 = − 72.24 s )
Since time can't be negative,
t₁ = 4.24 s.
Therefore,
t₂ = t − t₁
t₂ = 4.5 s − 4.24 s
t₂ = 0.26 s
Now,
h = V(s) × t₂
h = ( 340 m / s ) × ( 0.26 s )
h ≈ 88 m
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How long does it take a skier to travel 547 m going 9.7 m/s?
Answer:
56.39 hours
Explanation:
I say this because to calculate how long something is traveling you have to divide the distance traveled by the rate or do distance/time
If there are 7.5x1013 cells in a human body and the average cell diameter is 1×10-5 meter, how long would the string of cells be if you stretched them out in a single line?
The length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.
What is human cells?
Cells are the basic building blocks of all living things, including humans. The human body is composed of trillions of cells with average cell diameter of 1 x 10⁻⁵ m.
The length of the total cells in the human body when all the cells are stretched out is calculated as follows;
total length of the cells = average diameter of a cell x number of cells
total length of the cells = 1 x 10⁻⁵ m x 7.5 x 10¹³
total length of the cells = 7.5 x 10⁸ m
Thus, the length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.
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A ball is dropped from the top of a 82-m-high building. What speed does the ball have in falling 3.6 s?
The speed of the ball have in falling 3.6 s is 35.5 m/s.
What is the speed of the ball?The speed of the ball is calculated using the equation of a body falling under the influence of gravity or velocity of free fall.
The equation of the motion of the body is given as follows:
v = u - gt
where;
u is the initial velocity
g = acceleration due to gravity
t = time
v = final velocity
Assuming u = 0 m/s, g = 9.8 m/s², t = 3.6 s
v = 0 - 9.8 * 3.6
v = 35.5 m/s
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According to Pascal, pressure applied to a fluid __.
According to Pascal, pressure applied to a fluid is transmitted equally in all directions.
P = F / A
P = Pressure
F = Force
A = Area
Pressure is in Pa ( Pascals ).
Force is in N ( Newtons )
Area is in m² ( Meter² )
Pascal's law states that, pressure applied to an incompressible fluid enclosed in a container is transmitted equally throughout the fluid without any change in magnitude.
Therefore, According to Pascal, pressure applied to a fluid is transmitted equally in all directions.
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We desire to make an LC circuit that oscillates at 100 Hz using an
inductance of
2.5H. We also need a capacitance of
The capacitance needed in the LC circuit is 1 μF.
Capacitance needed to make the LC circuitThe capacitance needed to make the LC circuit is calculated as follows;
capacitive reactance = inductive reactance
Xc = Xl
1/2πfC = 2πfL
2πfC(2πfL) = 1
4π²f²LC = 1
LC = 1/4π²f²
C = 1/(4π²f²L)
where;
L is the inductancef is the frequencyC is the capacitanceSubstitute the given parameter and solve for the capacitance as follows;
C = (1)/(4π² x 100² x 2.5)
C = 1.01 x 10⁻⁶ F
C ≈ 1 μF
Thus, the capacitance needed in the LC circuit is 1 μF.
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What would the motion look like for a person starting 0.4 m away and walking at a constant speed of 0.5 m/s away from the motion detector?
The motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed.
What is constant velocity?If the person moves at constant velocity, it implies that the velocity is not changing with time. This implies that the person does not change speed and that the acceleration of the person is zero.
Accordingly, the motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed of the object with time as the person moves.
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