The incidence angle of a light ray that strikes a plane mirror is 35 degrees from the horizontal, hence the angle of reflection is 55 degrees.
Is there reflection at absolute zero?Angle of incidence and angle of reflection are equal when a light beam is incident properly on a flat mirror, according to the laws of reflection. Due to the zero degree incidence angle and reflection, respectively. The path of the reflected light will therefore be the same as the route of the incident beam.
Describe an example of the angle of reflection.The angle between the light and the surface is 10° if it is parallel to the surface, and 80° if it is perpendicular. It follows that the incidence angle is 80o. The incidence angle and reflection is equal, according to the rule of reflection. The reflection therefore has an 80o angle.
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What is the velocity (in m/s) of a 0.179kg billiard ball of its wavelength is 7.83cm
Answer: 472.556m⋅s−1
Explanation: λ=7.83cm=7.83⋅(1cm)=7.83⋅(1cm×0.01m1cm)=0.0783m
HELP ME ASPPP PLEASE do number 7 not 8 if u want to do 8 go ahead if you like
Sodium Hydroxide and water combination of should be used to built devices.
Sodium hydroxide (NaOH), often known as caustic soda or lye, is a caustic white crystalline solid made up of the sodium cation (Na+) and the anion of hydrogen peroxide (OH). It rapidly takes in moisture and eventually disintegrates. The most used industrial alkali is sodium hydroxide, which is frequently used in oven and drain cleaners. The tissue of both plants and animals is severely corroded by it. When dissolved in water, it produces alkaline solutions that balance acids in a variety of industrial processes.
Sulfuric and organic acids are eliminated during the refinement of petroleum. It reacts with natural fats or oils, such tallow or vegetable oil, in the process of creating soap to form sodium fatty acid salt (soap) and glycerin (or glycerol); this saponification reaction is the fundamental step in the production of all soaps.
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a 50 kg crate is pulled across the ice with a rope. a force of 100n is applied at some angle with the horizontal. the vertical component of the force in the rope is 40n. neglecting friction, calculate the acceleration of the crate and the upward force the ice exerts on the crate as it is pulled.
The acceleration of the crate is 1.83 m/s² and the upward force is 40 N.
We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as
F = m . a
where F is force, m is mass and a is acceleration
From the question above, we know that
Fy = 40 N
F = 100 N
m = 50 kg
Find the horizontal force
F² = Fy² + Fx²
100² = 40² + Fx²
Fx² = 100² - 40²
Fx² = 8400
Fx = 91.65 N
Find the acceleration of the crate
Fx = m . a
91.65 = 50 . a
a = 1.83 m/s²
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a small insect viewed through a convex lens is 2.5 cm from the lens and appears 2.5 times larger than its actual size. part a what is the focal length of the lens? express your answer using two significant figures. f
The lens' focal length is 1.5 cm, and its focal length is equal to half its radius of curvature, as shown by the formula f=R2 f = R 2, where f seems to be the focal length as well as R is indeed the radius of curvature.
What does focal length mean?When a lens is focussed at infinity, the focal length of the lens is discovered. We can determine the angle of view, or the amount of the scene will be caught, and the magnification, or how big the individual elements will be, by measuring the focal length of the lens. A narrower field of view and a higher magnification result from a longer focal length.
How do focal length or wavelength work?As wavelength and refractive index are inversely connected, the focal length of a lens varies inversely with each of them. The focal length of a lens varies directly with wavelength of light employed. The main reason chromatic aberration occurs is due to this. No relationship exists between the focal length and the frequency of a light.
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the density of a typical hippo's body is 1030 kg/m3, so it will sink in fresh water. part a what is the buoyant force on a submerged 1500 kg hippo? what is the buoyant force on a submerged 1500 hippo? 14,000 n 14,900 n 14,300 n 14,600 n
The buoyant force on the hippo is 14,300 N
The density of the hippo = 1030 kg/m³
The mass of the hippo = 1500 kg
The buoyant force on the submerged hippo can be found using the formula
F = ρ V g
where F is the buoyant force
ρ is the density of the water
V is the volume
g is the acceleration due to gravity
The volume dispersed can be found by
V = m / ρ
= 1500 / 1030
= 1.456
Now, let us substitute the known values in the above equation, we get
F = 1000 x 1.456 x 9.8
= 14,268.8 N
≈ 14,300 N
Therefore, the buoyant force is 14,300 N
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A 2300-kg car slows down at a rate of 3. 0 m/s2 when approaching a stop sign. What is the magnitude of the net force causing it to slow down?.
A 2300-kg car slows down at a rate of 3. 0 m/s2 when approaching a stop sign. The magnitude of the net force causing it to slow down will be 6900 N
given
mass = 2300 kg
acceleration = 3 [tex]m/s^{2}[/tex]
force = mass * acceleration
= 2300 * 3 = 6900 N
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Which of the following are units that can be used to describe vector
quantities?
Check all that apply.
A. Seconds
B. Miles per hour
C. Meters
D. Grams
UBMIT
Units that can be used to describe vector quantities are :
For velocity B.) Miles per hour
For displacement C.) Meters
What is vector quantity?The physical quantities for which magnitude and direction are defined are known as vector quantities. Some examples are displacement, force, torque, momentum, acceleration and velocity.
Meter is the only basic SI unit that is a vector and others are scalars. Derived quantities can be vector or scalar, but vector quantity must have meters in its definition and unit. Although speed is a scalar quantity but velocity is a vector quantity that specifies both a direction and magnitude.
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When mixed together, oil and vinegar will eventually separate into an oil layer and a vinegar layer. Homemade mayonnaise is made from oil, vinegar, and egg yolks. Making mayonnaise does not require a chemical reaction, and the oil and vinegar do not separate into different layers. Identify what type of synthetic material mayonnaise is and predict the role of the egg yolks.
The type of synthetic material that mayonnaise can be is emulsion and the egg yolk acts as a stabilizer.
What is an emulsion?We know that there is a difference true and false solutions. A true solution is one in which we do not have the particles of the solute still visible in the solution after it has dissolved. However, in a false solution, the particles of the solute would still remain largely visible.
Now there are various kinds of false solutions and one of them is an emulsion. When we talk about an emulsion, we are talking about a situation where a liquid has been dispersed in a liquid.
In many cases, there is the need for a stabilizer which prevents the emulsion from separating into layers. In the absence of the stabilizer we would notice that the oil and vinegar will eventually separate into an oil layer and a vinegar layer.
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uppose that a volleyball A floats up in the water, and a bowling ball B, being denser than water, is completely submerged in water. A and B have the same volume, as in the figure. Which feels a greater buoyant force?
1. They feel the same buoyant force.
2. A
3. B
4. Unable to determine
Ball B will experience greater buoyant force than ball A
The upward buoyant force that is exerted on a body immersed in a fluid, whether partially or fully submerged, is equal to
According to Archimedes principal , the buoyant force experienced by a body immersed in a fluid will be equal to the weight of the fluid that the body displaces .
The more dense is the body , the more fluid will get displaced .
correct option will be
ball B will experience greater buoyant force
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A 1000 N object is pulled along a level surface with a horizontal force of 200 N. The object moves with a constant velocity of 2 m/s. Calculate the k.
0.2 is the value of coefficient of friction (k)
F=kN
F=horizontal force
n=Normal Force
k=coefficient of friction
k=F/N
k=200/1000
k=0.2
The ratio of the normal force pushing two surfaces together to the frictional force preventing motion between them is known as the friction coefficient. Usually, the Greek letter mu is used to indicate it .N is the normal force, and F is the frictional force, hence F = N/N.
Due to the fact that both F and N are measured in units of force, the coefficient of friction has no dimensions (such as newtons or pounds). The coefficient of friction can have a variety of values for both static and dynamic friction. Static friction occurs when an object encounters friction that resists any applied force, keeping the object at rest until the static frictional force is released. In kinetic friction, the frictional force resists the motion of the object.
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a major league pitcher can throw a baseball in excess of 46.0 m/s. if a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 16.7 m away from the point of release?
Answer:
The ball's vertical displacement 0.64 m
Explanation:
Given:
V₀ = 46.0 m
D = 16.7 m
g = 9.8 m/s²
____________
ΔH - ?
Time:
t = D / V₀ = 16.7 / 46.0 ≈ 0.36 s
Vertical displacement:
ΔH = g·t² / 2
ΔH = 9.8·0.36² / 2 ≈ 0.64 m
A Review Constants Part A In (Figure 1) what magnitude force provides 9.0 Nm net torque about the axle? Express your answer with the appropriate units. ? μΑ Figure < 1 of 1 F= Value N 10 cm Submit Request Answer the 수 Provide Feedback Next > 10 cm F
0.09 Nm is net torque about the axle
F=9 N
r=10 cm= 0.01 m
Torque= rF
Torque=9×0.01
Torque=0.09 Nm
In physics, torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. According to the rotational axis, the torque is determined by multiplying the force component's magnitude in the plane perpendicular to the axis by the shortest distance between the axis and the force component's direction. The force vector may always be located in a plane parallel to the axis, regardless of its orientation in space. In SI units, torque is expressed in newton meters.
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An object accelerates to a velocity of 230 m/s over a time of 2. 5 s. The acceleration it experienced was 42 m/s2. What was its initial velocity?.
An object accelerates to a velocity of 230 m/s over a time of 2. 5 s. The acceleration it experienced was 42 m/s2. Its initial velocity will be 125 m/s
final velocity = 230 m/s
time = 2.5 second
acceleration = 42 [tex]m/s^{2}[/tex]
initial velocity = ?
acceleration = final velocity - initial velocity / time
42 = (230 - u) / 2.5
u = 125 m/s
Its initial velocity will be 125 m/s
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how would an increase in time for the application of a given torque (e.g., 200 nm) affect angular impulse?
By increase impulse we can increase in time for the application of a given torque (e.g., 200 nm) affect angular impulse.
A force's magnitude and its line of action's angle of perpendicularity with respect to the axis of rotation are multiplied to form torque. Usually, the lowercase Greek letter tau is used to represent torque. It is typically indicated by the letter M when used as a moment of force. The term "torque" refers to the twisting force that an engine exerts when it works, and it expresses the rotational force. The use of a wrench, turning a doorknob, opening a soda bottle, or peddling a bicycle all involve torque. The equivalent of linear force in rotation is torque. The distance traveled in one unit of time is referred to as speed. Inverse proportionality describes the relationship between speed and torque.
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As a baseball is being caught, its speed goes from 30.0 m/s to 0.0 m/s in about 0.0050 s. The mass of the baseball is 0.145 kg.
What is the baseball's acceleration?
What are the magnitude and the direction of the force acting on it?
What are the magnitude and direction of the force acting on the player who caught it?
Answer: Force = 870 N
Explanation:
acceleration = a = (final velocity - initial velocity) / time elapsed
a = (0-30)/.005 = -6000 m/s2 (negative sign means the ball is slowing down)
Force = F = mass x acceleration = ma
F = (0.145 kg)(6000 m/s2) = 870 N away from the player throwing the ball
The magnitude of the force on the player catching the ball is equal, 870N. The mitt acts on the ball with an equal and opposite force (Newton's 3rd Law of Motion)
using the terms liquid, vapor, and liquid-vapor mixture, describe the condition of the refrigerant at the following points of the cycle: 1. entering evaporator 2. leaving evaporator 3. entering compressor 4. leaving compressor 5. entering condenser 6. leaving condenser, entering receiver
These are the condition of the refrigerant at the following points of the refrigeration cycle:
Entering evaporator: liquid-vapor mixtureLeaving evaporator: vaporEntering compressor: vapor (low-pressure)Leaving compressor: vapor (high-pressure)Entering condenser: liquid-vapor mixture (starts as vapor)Leaving condenser: liquidA vapor compression refrigeration system is a system consisting of circulating refrigerant through stages of a closed system to create a cold environment that's conducive to preserving and storing products.
There are several parts in a refrigeration system that can change the condition of refrigerant during certain points of the cycle.
Evaporator is a part that turns the liquid form of refrigerant into its gaseous-form (vapor). Compressor is a part that compresses the refrigerant to a higher-pressure.Condenser is a part that condense the gaseous-form of refrigerant into a liquid state through cooling process.Learn more about CFC at https://brainly.com/question/28245894
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5.33 stopping distance. (a) if the coefficient of kinetic friction between tires and dry pavement is 0.80, what is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 28.7 m/s ?
kinetic friction between tires and dry pavement is 0.80 then u = 16.26 m/s is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 28.7 m/s.
μk = 0.80, intial speed u=28.7.m/s final velocity v=0
by applying newton's law to the body
-μk mg = ma
a = -μk g = - 7.84 m/s^2
from v^2 - u^2 = 2as
s = v^2 - u^2 /2a = 54 m
2).μk = 0.25 , s = 54 m ,v=0 , intial speed u =?
a = -μk g = -2.45 m/s^2
v^2 - u^2 = 2as
u^2 = 2*2.45 *54
we get u = 16.26 m/s
In most cases, kinetic friction is less intense than the amount of force required to overcome static friction. When an object is already moving, kinetic friction occurs. A force must be applied to an object that precisely balances the force from kinetic friction in order to maintain that object's motion at a constant speed.
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radar, the first link in the cosmic distance chain, is used to establish the baseline distance necessary for the second link, parallax. what baseline distance must we know before we can measure parallax? view available hint(s) for part a radar, the first link in the cosmic distance chain, is used to establish the baseline distance necessary for the second link, parallax. what baseline distance must we know before we can measure parallax? the distance from earth to venus the distance to the nearest star besides the sun the earth-sun distance the distances of all the planets in our solar system from earth
To learn about the parallax and solar system.
What is parallax?
An object's apparent displacement or apparent direction difference when viewed from two separate positions that are not in a straight line with the object Specifically: the angle between the directions of two celestial bodies as seen from two locations on the earth's orbit.
What is solar system?
The solar system includes the Sun and all the celestial bodies that revolve around it. The solar system is made up of many different objects, such as planets, comets, asteroids, and meteors.
Distance between the Earth and the Sun. Explanation: The Earth-Sun distance is the baseline measurement that we need to be aware of in order to estimate parallax.
Therefore, the Earth-Sun distance is the baseline measurement that we need to be aware of in order to estimate parallax.
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in the graph, why is the velocity positive at time 0.0 s? responses the mass is moving downward but not at the origin at 0.0
The positive velocity at 0.0 s on the graph is equal to the mass moving upward and at the origin in 0.0 s.
Velocity is a vector quantity that has both magnitude and direction. Velocity can be positive and negative. Velocity is positive if the direction of motion is up and negative if the direction of motion is down.
On a speed-time graph, a horizontal (flat) line indicates that the object is moving at a constant speed. The diagonal straight line shows the speed of the object changes.
This question is an of choice
The mass moves down and at the origin at 0.0 s.
The mass moves up and at the origin at 0.0 s.
The mass moves upward but not at the origin in 0.0 s.
The mass moves down but not at the origin in 0.0 s.
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Find fmin f m i n , the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board).
F(min) = μsg(m1+m2) the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box.
What is magnitude?In physics, size is simply defined as magnitude. 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 distance or quantity. Simply put, quantities are quantities of quantities.For example, the magnitude of an earthquake measured on the Richter scale typically varies between 1 and 10, representing the magnitude of the earthquake. A magnitude 8 earthquake is much more severe than a magnitude 3 earthquake. A force magnitude is a number that expresses the strength of a force. for example: Assume a force of 10 N to the east."East" represents the direction, and "10" represents the strength of the force. A quantity is therefore basically a "value" or "amount" of a physical quantity.To learn more about magnitude from the given link :
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an object is moving in such a way that the force of gravity is increasing its kinetic energy. you can conclude that
If an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.
Fg = m g
KE = 1 / 2 m v²
Fg = Force of gravity
m = Mass
g = Acceleration due to gravity
KE = Kinetic energy
v = Velocity
Since mass cannot change and will remain constant,
KE ∝ v
As KE increases v increases meaning that there is change in velocity with respect to time.
a = dv / dt
a = Acceleration
dv = Change in velocity
dt = Change in time
Acceleration is the rate of change of velocity with respect to time. If velocity change there will be either acceleration or deceleration based of how the velocity changes.
Therefore, if an object is moving in such a way that the force of gravity is increasing its kinetic energy, you can conclude that the object is accelerating.
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Air initially occupying a volume of 1 m3 at 100 kPa, 20°C undergoe two internally reverible procee in erie. Proce 1-2: compreion to 500 kPa during which PV1. 2 = contant Proce 2-3: adiabatic expanion to 100 kPa (a) Determine the temperature at tate 2 and 3, in °C (b) Determine the net work, in kJ
(a) Temperature in state 2 = 26.153°C
Temperature in state 3 = 19.9°C
(b) Net work done = 0. 143 K J
What is ideal gas law ?The ideal gas law, also called the general gas equation, is the equation of state for a virtual ideal gas. But it has some limitations, but is a good approximation of the behavior of many gases under many conditions.
V = 1 m³
P₁ = 100 KPa
T₁ = 20°C
For process 1-2:
P₂ = 500 kPa
PVˣ = constant (X = 1.2)
For process 2-3:
P₃ = 100 kPa
To determine temperature in state 2:
T₂/T₁ = P₂/P₁
T₂ = P₂/P₁ × T₁
T₂ = 20(500/100)
T₂ = 26.153°C
Since process 1-2 is poly-tropic system
Work done W₁₋₂ = (P₁V₁ - P₂V₂)/X - 1
= (mRT₁ - mRT₂)/(X - 1)
= mR(T₁ - T₂)/(1.2 - 1)
= mR (20 - 26.153)/(0.2)
To determine temperature in state 3:
T₃/T₂ = [tex](\frac{P_{3} }{P_{2} } )^{\frac{X-1}{X} }[/tex]
Now, substitute the values:
T₃ = 19.9°C
Work done W₂₋₃ = (P₂V₂ - P₃V₃)/X - 1
= (mRT₂ - mRT₃)/(X - 1)
= mR(T₂ - T₃)/(1.2 - 1)
= mR(26.153 - 19.9)/(0.2)
Net work done (Wₙ) = W₁₋₂ + W₂₋₃
mR (20 - 26.153)/(0.2) + mR(26.153 - 19.9)/(0.2)
Wₙ = 0. 143 K J
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Which is an outer planet?
Please look at picture
Thanks so much! Have a great day!
Anonymous :)
The third one maybe??
If not then my bad
with the aid of a string, a gyroscope is accelerated from rest to 36 rad/s in 0.7 s. (a) what is its angular acceleration in rad/s2? 51.43 correct: your answer is correct. rad/s2 (b) how many revolutions does it go through in the process?
The principles of angular motion's equations of motion are relevant to this query.
a) An angular acceleration of "80 rad/s2" will occur.
b) During the procedure, it completes "1.02 revolutions."
What is angular acceleration?Acceleration is the effect of a changing velocity. We refer to an object as speeding angularly if it is spinning and its speed is changing
To determine the angular acceleration, we shall utilize the first equation of motion for angular motion:
where,
= angle-moving speed =?
= 32 rad/s for the final angular speed
= 0 rad/s for the initial angular speed
t = time spent = 0.4 s
Therefore,
b)To determine the number of rotations, we will now utilize the second equation of motion for the angular motion:
where,
Angle displacement equals:?
Therefore,
Following are the numbers for the number of revolutions (N):
1.02 rotations per N
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what is the moment of inertia if you twirl a large ring around your finger, so that in essence it rotates about a point on the ring, about an axis parallel to the symmetry axis?
The moment of inertia of large ring is 2MR².
What is inertia?
Inertia is the propensity of a body to resist any alteration to its state of regular motion or of rest.
Given that,
Mass of ring = M
Radius of ring = R
Therefore, moment of inertia of ring = MR²
as we need to calculate the moment of inertia of large ring
Therefore, we need to use the formula of moment of inertia
I = I + MR²
Where I = moment of inertia at centre of mass
As we said,
Mass of ring = M
Radius of ring = R
By puting the value of above into the formula, we get
I = MR² + MR²
I = 2MR²
Therefore, The moment of inertia of large ring is 2MR².
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The moment of inertia of large ring is 2MR².
What is inertia?
Inertia is the propensity of a body to resist any alteration to its state of regular motion or of rest.
Given that,
Mass of ring = M
Radius of ring = R
Therefore, moment of inertia of ring = MR²
as we need to calculate the moment of inertia of large ring
Therefore, we need to use the formula of moment of inertia
I = I + MR²
Where I = moment of inertia at centre of mass
As we said,
Mass of ring = M
Radius of ring = R
By puting the value of above into the formula, we get
I = MR² + MR²
I = 2MR²
Therefore, The moment of inertia of large ring is 2MR².
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craig is trying to push a heavy crate up a wooden ramp, but the crate won't budge.
A. Up the ramp
B. Down the ramp
C. The friction force is zero
D. There is not enough information to tell
Craig is trying to push a heavy crate up a wooden ramp, but the crate won't budge Up the ramp.
Frictional force refers to the pressure generated via two surfaces that touch and slide toward every other. a few factors affect the frictional pressure: those forces are specifically stricken by the surface texture and the amount of pressure impelling them together.
Friction can gradually things down and prevent desk-bound matters from shifting. In a frictionless global, extra gadgets would be sliding about, clothes and footwear might be difficult to keep on and it might be very difficult for human beings or vehicles to get shifting or change direction.
using lubricants such as oil or grease can reduce the friction between the surfaces. by using polishing the floor, sprucing makes the floor easy and friction may be decreased.
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50 kg object is sliding to the right and encounters a frictional force that slows it down. The coefficient of friction
tween the object is 0.15. Determine the acceleration of the object.
a.
0 m/s/s
c. 0.75 m/s/s
b. 7.5 m/s/s
d. 1.5 m/s/s
ONG
unters a friction force
Answer:
Below
Explanation:
Frictional force = Fn * coeff = 50 kg * 9.81 * .15 = 73.57
then F = ma
73.57 = 50 * a shows a = 1.5 m/s^2 ( de-celeration magnitude)
a 15.0 mf capacitor is charged by a 150.0 v power supply, then disconnected from the power and connected in series with a 0.280 mh inductor. calculate: (a) the oscillation frequency of the circuit; (b) the energy stored in the capacitor at time t
Given,
Capacitance of capacitor = 15.0 mf
Voltage = 150.0-V
Inductance = 0.280 m H
What is oscillation?
The act of any variable or measure fluctuating repeatedly about its equilibrium position in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.
(a) In the circuit, the oscillation of frequency is,
f = 1/2[tex]\pi[/tex] sqrt 1/ 0.280×10⁻3×20×10⁻6
f = 2126.9 Hz
(b) U = 1/2 CV²
U = 1/2(20×10⁻6)(150)²
U = 0.225J
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a) The oscillation frequency of the circuit is 2126.9 Hz.
b)The energy stored in the capacitor at time t is 0.225J.
What is oscillation?
The act of any variable or measure fluctuating repeatedly about its equilibrium position in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.
Given,
Capacitance of capacitor = 15.0 mf
Voltage = 150.0-V
Inductance = 0.280 m H
(a) In the circuit, the oscillation of frequency is,
f = 1/2 sqrt 1/ 0.280×10⁻3×20×10⁻6
f = 2126.9 Hz
(b) U = 1/2 CV²
U = 1/2(20×10⁻6)(150)²
U = 0.225J
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Corey, whose mass is 95 kg , stands on a bathroom scale in an elevator. The scale reads 890 n for the first 3. 0 s after the elevator starts to move, then 930 n for the next 3. 0 s.
The velocity of the elevator would be v₂ = 2.568 m/s
Given that,
mass of Corey = 95 Kg
reading of sale for first 3 s when elevator start to move = 890 N
scale reading for the next 3.0 s = 930 N
Gravitational force acting = F = m g
F = 95 x 9.8
F = 931 N
using Newton's second law, due to movement of elevator
F. = m a
W - N = m a₁
930- 890 = 95 x a₁
a₁ = 0.421 m/s²
Now,
velocity calculation
v₁ = a₁t
v₁ = 0.421 x 3 = 1.263 m/s
For second case
931 - 930 = 95 x a₂
a₂ = 0.011 m/s²
now, velocity after 4 s
v₂ = v₁ + a₂ t
v₂ = 2.557+ 0.011 x (4 - 3)
Because velocity after 3 seconds is calculated we need to calculate velocity after 4 s from beginning.
v₂ = 2.557 + 0.011
v₂ = 2.568 m/s
velocity of the elevator is equal to v₂ =2.568 m/s
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you have a heavy piece of equipment hanging from a 1.0-mm-diameter wire. your supervisor asks that the length of the wire be doubled without changing how far the wire stretches. what diameter must the new wire have?
The new diameter must be 1.414 mm in order to double the length of the wire without changing how far the wire stretches. This is because the diameter of the new wire must be proportional to the square root of the length of the new wire.
What is the diameter?
The diameter of a circle is the distance along which the circumference begins at one end and ends at the other. Its length is twice that of the circle's radius. In those other words, the line that divides a circle in to the two equal parts and runs through its centre is the diameter of the circle. In this article, let's learn more about the definition and characteristics of diameter. Any straight segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter also is referred to as the circle's longest chord.
Hence, the diameter is 1.414 mm.
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