Answer: B. Red light is absorbed by the car.
Explanation:
The colour of the object is decided by the wavelength of light that it reflects.
Light with the longest wavelength appears red, and light with the shortest wavelength appears violet. The wavelengths of visible light that an object reflects or transmits determine the color that the object appears to the human eye.
The blue car appears blue as it absorbs red light and reflects blue colour.
A 0.300 kg mass is attached o a 26.6 N/m spring. It is pulled 0.120 m and released. How much Potential Energy does it have when it is 0.0600 m from equilibrium? ( Unit - J) (It's not 0.144 J)
The potential energy of the mass is 0.0452 J when it is at a distance of
0.0600 m from equilibrium.
How to calculate potential energy?
The potential energy stored in a spring when it is stretched or compressed by a displacement x is given by:
\($PE = \frac{1}{2}kx^2$\)
where k is the spring constant.
In this problem, the spring constant is given as 26.6 N/m, and the displacement of the mass from equilibrium is
\((0.120 m - 0.0600 m) = 0.0600 m.\)
Therefore, the potential energy stored in the spring when the mass is at a distance of 0.0600 m from equilibrium is:
\($PE = \frac{1}{2}kx^2 = \frac{1}{2}(26.6 N/m)(0.0600 m)^2 = 0.0452 J$\)
So the potential energy of the mass is 0.0452 J when it is at a distance of 0.0600 m from equilibrium.
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Answer: 0.0479
Explanation: This answer works for Acellus! :D
hope this helps!
Doctors were furious. Their patients didn't care about regular medicine anymore. All they wanted was a wave of Dr. Mesmer's wand. The doctors griped — and groused — and fussed — and fumed. What is most likely the meaning of the word furious?
A quietly curious B quite thrilled C mildly annoyed D extremely angry
Answer:
am pretty sure the answer is d
QUESTION 3 (Start on a new page.)
A small disc, C, is thrown vertically upwards at a speed of 15 m-s¹ from the edge of
the roof of a building of height 30 m. AFTER 0,5 s, a small ball B is shot vertically
upwards from the foot of the building at a speed of 40 m-s in order to hit disc C.
Ignore the effects of air resistance.
3.1
3.2
3.3
15 m-s¹
30 m
Explain the term projectile.
Calculate the:
40 m-s¹
B
3.2.1
Time taken by disc C to reach its maximum height
3.2.2
Maximum height above the ground reached by disc C
Calculate the time from the moment that disc C was thrown upwards until
the time ball B hits the disc..
(2)
(3)
(4)
(6)
A projectile is an object thrown into the air and subject only to gravity and, if applicable, air resistance. The time taken by disc C to reach its maximum height is approximately 1.53 seconds, and its maximum height above the ground is around 11.48 meters. The time from when disc C was thrown upwards until ball B hits the disc is roughly 1.29 seconds.
3.1 Explanation of the term projectile:
A projectile refers to an object that is launched or thrown into the air and is subject only to the forces of gravity and air resistance (if applicable). The motion of a projectile can be analyzed independently of its mass, shape, or any other physical property. The key characteristic of a projectile is that it follows a curved path known as a trajectory.
When a projectile is launched, it moves along a parabolic trajectory due to the combination of its initial velocity and the force of gravity acting vertically downward. The horizontal motion of a projectile remains constant and unaffected by gravity, while the vertical motion is influenced by the acceleration due to gravity.
The path of a projectile can be described mathematically by considering its initial velocity, angle of projection, and the acceleration due to gravity. Projectile motion finds applications in various fields, such as sports, engineering, and physics, where objects are launched or thrown.
3.2.1 Time taken by disc C to reach its maximum height:
To determine the time taken by disc C to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:
vf = vi + at
Where:
vf = final velocity (which is zero at the maximum height)
vi = initial velocity
a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)
t = time
Since the disc is thrown vertically upwards, its initial velocity is 15 m/s. We want to find the time it takes for the disc to reach its maximum height, so we'll use the equation and solve for time (t):
0 = 15 + (-9.8)t
Rearranging the equation, we get:
9.8t = 15
t = 15 / 9.8
Calculating this, we find:
t ≈ 1.53 seconds
Therefore, it takes approximately 1.53 seconds for disc C to reach its maximum height.
3.2.2 Maximum height above the ground reached by disc C:
To determine the maximum height reached by disc C, we can use another kinematic equation for vertical motion:
vf² = vi² + 2ad
Where:
vf = final velocity (which is zero at the maximum height)
vi = initial velocity
a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)
d = displacement (maximum height)
Since we know the initial velocity (vi) and acceleration (a), we can solve for the displacement (d), which represents the maximum height:
0² = 15² + 2(-9.8)d
Rearranging the equation, we get:
0 = 225 - 19.6d
19.6d = 225
d = 225 / 19.6
Calculating this, we find:
d ≈ 11.48 meters
Therefore, the disc C reaches a maximum height of approximately 11.48 meters above the ground.
Calculating the time from the moment that disc C was thrown upwards until the time ball B hits the disc:
To find the time it takes for ball B to hit disc C, we need to calculate the time it takes for both objects to reach the same height.
Since disc C was thrown upwards from the edge of the roof and ball B was shot vertically upwards from the foot of the building, we need to consider the additional height of the building (30 meters).
The time it takes for disc C to reach the ground is the same as the time it takes for ball B to reach a height of 30 meters above the ground.
Using the kinematic equation for vertical motion, we can calculate the time for ball B:
d = vit + 0.5at²
Where:
d = displacement (30 meters)
vi = initial velocity (40 m/s)
a = acceleration (acceleration due to gravity, -9.8 m/s²)
t = time
30 = 40t + 0.5(-9.8)t²
Rearranging the equation, we get:
4.9t² + 40t - 30 = 0
Solving this quadratic equation, we find:
t ≈ 1.29 seconds or t ≈ -5.82 seconds
Since time cannot be negative in this context, we discard the negative solution.
Therefore, it takes approximately 1.29 seconds from the moment that disc C was thrown upwards until ball B hits the disc.
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a) You are trying to lift a woolly mammoth (5000 kg). You put a long piece of metal under the mammoth and place a large rock 2 m from the mammoth to serve as a fulcrum. You can supply about 2000 N of force. How far away from the fulcrum will you have to apply your force?
b) With the answer in part a), what is the practical issue with this answer (think about how a long thin rod behaves mechanically)? What might you do to be able to lift the mammoth, if you have friends to help? Be specific.
a. The force should be applied 5 m from the fulcrum
b. The issue is that deformation of the rod will occur.
In order to avoid this deformation, with the help of friends, the distance from the can be reduced and more force applied.
What is the principle of moments?The principle of moments states that for a system in equilibrium, the sum of the clockwise moments about a point of rotation is equal to the sum of the anticlockwise moments about that point.
Mathematically;
clockwise moments = anticlockwise momentsThe moment of a force is the product of the force and the perpendicular distance from its point of action.
Moment = force * perpendicular distanceFrom the data provided:
Let the woolly mammoth move in a clockwise direction and the applied force in an anticlockwise direction.
Let d be the perpendicular distance of the applied force from the fulcrum
5000 * 2 m = 2000 * d
d = 5 m
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Potential energy results from the _ or position of an object
Answer:
The only answers I can think of are state or arrangement. Any of these two should be theoretically correct.
The potential energy is the energy that is stored in an object due to its position.
What is potential energy ?The term potential energy is defined as the stored energy tha depend on the various parts of the system. Any object that is stretched from its resting position has stored energy. As a result, it is known as potential energy because it has a potential to do work when it lifted.
The formula of the potential energy is depending on the force of two object. P.E. = mgh
An object possesses gravitational potential energy if it is placed at a height above or below the zero height. The potential energy is the energy that is stored in an object.
Thus, The potential energy is the energy that is stored in an object due to its position.
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4. Calculate the total resistance of the circuit if R1=4 Ω, R2=30 Ω, R3=10Ω, R4=5Ω Determine the current strength if the circuit is connected to a voltage source with a voltage of 56 V
The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.
To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.
Given:
R1 = 4 Ω
R2 = 30 Ω
R3 = 10 Ω
R4 = 5 Ω
Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:
RT1-2 = R1 + R2
RT1-2 = 4 Ω + 30 Ω
RT1-2 = 34 Ω
Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:
1/RTotal = 1/RT1-2 + 1/R3
1/RTotal = 1/34 Ω + 1/10 Ω
1/RTotal = (10 + 34) / (34 * 10) Ω
1/RTotal = 44 / 340 Ω
1/RTotal ≈ 0.1294 Ω
RTotal ≈ 1 / 0.1294 Ω
RTotal ≈ 7.74 Ω
Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:
RTotalCircuit = RTotal + R4
RTotalCircuit = 7.74 Ω + 5 Ω
RTotalCircuit ≈ 12.74 Ω
Therefore, the total resistance of the circuit is approximately 12.74 Ω.
To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:
I = V / RTotalCircuit
I = 56 V / 12.74 Ω
I ≈ 4.39 A
Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).
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The following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2, b=1m/s.
Find
A, the average velocity of the particle in the time interval t₁=2sec and t₂=3sec
B, the velocity and acceleration at any time t.
C, the average acceleration in the time interval given in part (a)
(a) The average velocity of the particle in the time interval t₁=2sec and t₂=3sec is 10 m/s.
(b) The velocity and acceleration at any time t is v = (4ti + j) m/s and a = a = 4i m/s²
(c) The average acceleration in the time interval given in part (a) is 3.98 m/s².
Position of the particlex = at²i + btj
x = 2t²i + tj
Average velocity, at t₁=2sec and t₂=3secΔv = Δx/Δt
x(2) = 2(2)²i + 2j
x(2) = 8i + 2j
|x(2)| = √(8² + 2²) = 8.246
x(3) = 2(3)²i + 3j
x(3) = 18i + 3j
|x(3)| = √(18² + 3²) = 18.248
Δv = (18.248 - 8.246)/(3 - 2)
Δv = 10 m/s
Velocity and acceleration at any time, tv = dx/dt
v = (4ti + j) m/s
a = dv/dt
a = 4i m/s²
Average accelerationv(2) = 4(2)i + j
v(2) = 8i + j
|v(2)| = 8.06 m/s
v(3) = 4(3)i + j
v(3) = 12i + j
|v(3)| = 12.04 m/s
a = (12.04 - 8.06)/(3 - 2)
a = 3.98 m/s²
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A constant net force F acts on a body during a time interval t. If u and v are the initial and final velocity of the body respectively, the impulse Ft of this force is given by the equation Ft = mv-mu.
Answer:
Impulse is defined as change in momentum of an object divided by time interval.
at t= 0s
initial velocity = u , initial momentum = mu
at some time t .
final velocity = V, final momentum= mv.
now, change in momentum= ( final - initial) = ( mv-mu)
time interval = (t-0) = t
impulse force = (mv-mu)/ ( t)
Ft = (mv-mu) proved .
this law is known as Newton's second law.
Please answer asap, it's really important
Answer: A
Explanation:
No Jackie is not correct. UV rays are highly energetic relative to visible light and lower energy radiation like microwave or radio. UV rays are most definitely enough to damage human skin. If you have a bottle of sunscreen near you, it will say it protects from UV rays. UV rays is what causes sunburn.
Answer:
A
Explanation:
Im sure that its A because it provides evidence of this anwser
Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.
(a) The tension in the string is determined as 19.6 N.
(b) The acceleration of each object is 5.3 m/s².
(c) The distance each object will move in the first second if it started from rest is 2.65 m.
What is the tension in the string?(a) The tension in the string is the resultant weight of the masses and magnitude is calculated as follows;
T = ( 5.7 kg - 3.7 kg ) x 9.8 m/s²
T = 19.6 N
(b) The acceleration of each object is calculated as follows;
a = T / m
where;
m is the mass T is the tensiona = 19.6 N / 3.7 kg
a = 5.3 m/s²
(c) The distance each object will move in the first second if it started from rest is calculated as;
s = ut + ¹/₂at²
where;
u is the initial velocity = 0s = 0 + ¹/₂(5.3)(1²)
s = 2.65 m
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In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0.053 nm around a stationary proton. Part A How many revolutions per second does the electron make
What is the gravitational force acting on a 83.4-kg person due to a 65.6-kg person standing 1.21 m away?
The gravitational force acting on the 83.4-kg person due to the 65.6-kg person is approximately 3.14 x 10^-8 N.
What is gravitational force ?The gravitational force is an attraction between any two mass-containing objects.
The following formula determines the gravitational force between two objects:
F = G * (m1 * m2) / r2.
where
F represents forceG stands for gravity constantThe two objects' masses are m1 and m2 r is the separation between their centers of massPlugging in the given values, we have:
F = (6.67 x 10^-11 N * m^2 / kg^2) * (83.4 kg) * (65.6 kg) / (1.21 m)^2
F = 3.14 x 10^-8 N
Therefore, the gravitational force acting on the 83.4-kg person due to the 65.6-kg person is approximately 3.14 x 10^-8 N.
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The process of making alloys involves pure metals to remove impurities. Then the pure metals are with other components.
The process of making alloys involves the use of pure metals to remove impurities and then combining the purified metals with other components to create a desired alloy with specific properties.
Alloys are metallic substances that are composed of two or more elements, with at least one of them being a metal. The process of making alloys typically involves several steps to ensure the desired composition and properties are achieved.Removing impurities: The first step in making alloys is to obtain pure metals. Pure metals are often extracted from ores and undergo processes such as smelting or refining to remove impurities. This purification step is important to ensure the resulting alloy has consistent properties.Composition determination: Once the pure metals are obtained, their composition is determined based on the desired alloy's characteristics. This involves considering factors such as strength, hardness, corrosion resistance, electrical conductivity, and other specific properties required for the intended application.Mixing and melting: The pure metals, along with other components or alloying elements, are mixed together in precise proportions. Alloying elements can be other metals or non-metals, such as carbon. The mixture is then heated to a high temperature to melt the metals and ensure uniform mixing.Homogenization: After melting, the alloy is typically subjected to a process called homogenization. This involves holding the molten alloy at a specific temperature for a period of time to allow for diffusion and ensure a consistent distribution of the alloying elements throughout the mixture.Cooling and solidification: Once the homogenization is complete, the molten alloy is cooled down. The cooling rate can influence the microstructure and properties of the alloy. Controlled cooling techniques may be employed to achieve specific characteristics, such as fine-grained structures or desired phase transformations.Further processing: The solidified alloy can undergo additional processes such as forging, rolling, extrusion, or heat treatment to further refine its properties and shape it into the desired final product.By following these steps, the process of making alloys ensures the removal of impurities from pure metals and the combination of those metals with other components to create alloys with specific properties suitable for various applications.For more such questions on Alloys, click on:
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The science of classifying and naming organisms based on their different characteristics is called ______________.
Answer:
Biology
Explanation:
Hopethis helps!
Answer:
Taxonometric
Explanation:
A biologist named Carolus Linnaeus started this naming system.
right answer gets brainliest, wrong answer gets ignored
The star Sirius has a temperature of 10,700 degrees Celsius and has a luminosity of 23 solar luminosity units. At which letter on the HR Diagram would you place Sirius?
Answer:
A
Explanation:
Because A looks like it's in the 10,700 degree area and also in the 23 luminosity area.
Scientific notation means a number expressed as 10 x a number between :
What is a lower fixed point in physics
In physics, a lower fixed point refers to the minimum temperature at which a particular substance or system can reach and below which it cannot be cooled further.
It is a fundamental concept in the study of thermodynamics, specifically in relation to phase transitions and the behavior of substances at low temperatures.
The lower fixed point is often associated with the concept of absolute zero, which is the lowest possible temperature in the Kelvin scale (-273.15 degrees Celsius or -459.67 degrees Fahrenheit).
At absolute zero, particles in a substance possess the minimum amount of energy and their motion ceases, resulting in the absence of thermal energy.
The lower fixed point serves as a reference point for temperature scales, such as the International Temperature Scale of 1990 (ITS-90), which defines temperature measurements based on fixed points like the melting point of certain substances and the triple point of water.
These fixed points provide reproducible and well-defined temperature values for calibration and measurement purposes.
Understanding the lower fixed point is crucial for various scientific and technological applications, such as cryogenics, superconductivity, and the study of quantum phenomena at extremely low temperatures.
By pushing the boundaries of cooling techniques, researchers aim to approach the lower fixed point and explore the fascinating properties and behaviors of matter at such extreme conditions.
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HELP !Which is an example of a destructive force that shapes Earth's surface?
clouds
volcanoos
wind orosion
sodiment deposits
Answer:
wind orosion is the correct answer dkr this
A train changes its velocity from 70km / h to 20km / h in 6 s The distance it covered is:
a) 75.0 m
b) 9.87 m
c) 15.4 m
d) 20.6 m
The distance covered by the train will be 75 meters.
What is the equation of motion?Physics equations called equations of motion describe how a physical system acts in terms of how its motion alters over time.
The equations of motion, which are a group of mathematical functions stated in terms of dynamic variables, provide a more thorough description of how a physical system behaves.
Given that a train changes its velocity from 70km / h to 20km / h in 6 s.
Use the first equation of motion:-
V= U + at
20 = 70 + ( 1 / 600)a
-50 = ( 1 / 600)a
a = -30000
Use another equation of motion:-
V² = u² + 2as
20² = 70² + 2 ( -30000)S
400 - 4900 = -60000S
-4500 = -60000S
S = -4500 / -60000
S = 0.075 KM
S = 75 meters
Therefore, the distance covered by the train will be 75 meters.
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An SUV's engine provides 3500 N of force for a vehicle that has a mass 2000 kg. If an engineer develops a new chassis for the SUV that is two times the mass, what is the acceleration of the vehicle with the new chassis?
A. 0.88 m/s^2
B. 5.7 m/s^2
C. 1.75 m/s^2
D. 1.14 m/s^2
Answer:
A. 0.88 m/s²
Explanation:
Newton's second law:
F = ma
The force is 3500 N, and the mass is 2×2000 kg = 4000 kg.
3500 N = (4000 kg) a
a = 0.88 m/s²
How do you add sound waves?
The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.
What is interference?Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.
Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.
When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.
When two waves interfere with each other and have a displacement in the opposite direction. When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.
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A man is standing at a distance of 2m from a large plane mirror.
he walks 1m farther away from the mirror.how far is his image now from him
Answer: 3m
Explanation: If he is already 2m away from the mirror then if he walks away 1m then it would equal out to 3. You could also add 1 to 2 so you could get the same results.
define standard atmospheric pressure
Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kPa or 1 atm and serves as a reference point for scientific measurements and comparisons related to atmospheric pressure.
Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kilopascals (kPa) or 1 atmosphere (atm). This pressure is used as a reference point for various scientific measurements and is crucial in fields such as meteorology, physics, and engineering.
Atmospheric pressure is caused by the weight of the air above a given point on the Earth's surface. The air is composed of molecules, mainly nitrogen (approximately 78%) and oxygen (approximately 21%), along with other trace gases. These molecules are in constant motion and exert a force on the surfaces they come into contact with, including the Earth's surface.
The standard atmospheric pressure of 101.325 kPa is equivalent to the pressure exerted by a column of mercury 760 millimeters (mm) in height in a barometer at sea level. This measurement was established as a reference point for atmospheric pressure, providing a consistent value for scientific calculations and comparisons.
It is important to note that atmospheric pressure can vary with altitude and weather conditions. As altitude increases, the atmospheric pressure decreases because the column of air above becomes thinner. In areas of high or low pressure systems associated with weather patterns, the atmospheric pressure deviates from the standard value.
The standard atmospheric pressure is a valuable reference in many applications. For instance, it is used as a standard for measuring gas pressure in laboratories and industrial processes. It is also used in meteorology to calculate and compare pressure systems and to study atmospheric phenomena such as wind patterns and weather changes.
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Final Answer:
If there is lower air pressure being "pushed" onto the surface of the water, then the water molecules do not need as much energy to overcome the force of atmospheric pressure pushing on the surface, and they can more easily escape and become a vapor. When the vapor pressure of the liquid is equal to the air pressure surrounding the liquid, it will boil. If you lower the air pressure, you will lower the temperature that water will boil at.
Explanation:
The boiling point of a liquid depends on the balance between the vapor pressure of the liquid and the external pressure, which is typically atmospheric pressure. When the external pressure is reduced, such as at higher altitudes or in a vacuum, the liquid molecules require less energy to escape the surface and become vapor. This is because there is less force pushing down on the liquid's surface, allowing for easier vaporization.
At lower air pressure, the water molecules can overcome the diminished force of atmospheric pressure more readily, requiring less heat energy to transition from liquid to vapor. When the vapor pressure of the liquid equals the surrounding air pressure, the liquid will start to boil.
Boiling point and vapor pressure are fundamental concepts in thermodynamics and phase transitions. Understanding how pressure affects the boiling point of liquids is crucial in various scientific and engineering applications, such as cooking, chemical processes, and high-altitude cooking.
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A rope of length L is clamped at both ends. Which one of thefollowing is not a possible wavelength for standing waves on thisrope?
a. L/2
a. 2L/3
c. L
d. 2L
e. 4L
If rope of length L is clamped at both ends then, 4L is not a possible wavelength for standing waves on this rope.
A string's shortest wavelength is L = λ/2. There is a node where the rope is clamped; at this point, the rope is fixed at zero and cannot travel up or down. Therefore, this is λ/2 if the rope's midsection is oscillating up and down. There are two visible loops if there is a node in the middle of the rope, which indicates that there are 2λ/2. The options are 3λ/2, 4λ/2, etc. So, aside from b, all other methods work.
You would have 2/3 of a wavelength if b were accurate. One of the nodes would have to be moving up and down as a result.
Every circle in my lovely image is a node; they appear every half-wavelength. Note that the square, which is at a wavelength of 2/3, is not a node. A standing wave cannot contain wavelengths that are divided into thirds.
Only standing waves whose length is an integral multiple of half wavelength can occur in a string that is fixed at both ends.
L = n* (λ/2)
Only in instance (e) is n = 1/2, and that is unacceptable.
(e) is the proper response.
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The sun warms Earth through the process of _________
conduction
convection
insulation
radiation
large dorm, half the rooms are randomly wired for high-speed internet connections (the treatment group), and final course grades are collected for all residents. Which of the following pose threats to internal validity, and why? a. Midway through the year all the male athletes move into a fraternity and drop out of the study (their final grades are not observed). b. Engineering students assigned to the control group put together a local area network so that they can share a private wireless internet connection that they pay fo
Answer:
HAHAHAHAHAHAHAHAH
Explanation:
HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAAHAHAHAHAH
the speaker at an event hall is held up by steel cables as shown. find the tension in cables ab and bc if the speaker weighs 100 lb.
T = (m g) + (m a), where "g" denotes the acceleration caused by gravity of any objects the rope is supporting and "a" denotes any additional acceleration on any such objects, can be used to represent the tension in a given rope.
Give me a specific illustration of acceleration.An object's velocity can change based on how rapidly, slowly, or which way it is moving. As examples of acceleration, consider a falling apple, the moon orbiting the earth, or a car coming to a complete stop.
What exactly are speed and acceleration?The velocity of a displacement affects how quickly it changes. Acceleration is the term used to describe how quickly a velocity changes.
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9. A 50 kg halfback is in the process of making a turn on a football field.
The halfback makes 1/4 of a turn with a radius of 15 meters in 2.1 seconds
before being tackled. What is the net force acting on the halfback before
he is tackled?
Answer:
Net force = 419.5N
Explanation:
Given the following data;
Mass = 50kg
Radius = 15m
Time = 2.1 secs
Turns = 1/4 = 0.25
In order to find the net force, we would first of all solve for the speed and acceleration of the halfback.
To find speed;
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
\(Speed = \frac{distance}{time}\)
But the distance traveled is given by the circumference of a circle = \( 2\pi r\)
Since he covered 1/4th of a turn;
\( Distance = 0.25 * 2 \pi *r\)
Substituting into the equation;
\( Speed, v = \frac {(0.25*2*3.142 * 15)}{2.1}\)
\( Speed, v = \frac {23.565}{2.1}\)
Speed, v = 11.22m/s
To find acceleration;
\( Acceleration, a = \frac {v^{2}}{r}\)
Where, v = 11.22m/s and r = 15m
Substituting into the equation, we have;
\( Acceleration, a = \frac {11.22^{2}}{15}\)
\( Acceleration, a = \frac {125.8884}{15}\)
Acceleration, a = 8.39m/s²
To find the net force;
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
\( F = ma\)
Where;
F represents force.m represents the mass of an object.a represents acceleration.Substituting into the equation, we have;
\( F = 50 * 8.39\)
F = 419.5N
Therefore, the net force acting upon the halfback is 419.5 Newton.
When light travels through a small hole, it appears to be an observer that the light spreads out, blurring the outline of the hole. Does this observation support the theory of light as a wave, or light being made of particles? Explain.
Answer:
support lights as a wave
Explanation:
In the model of light as a particle, the experimenter would expect to see one small hole of light emerging on the wall. However, as the light spreads out, it behaves much like a wave that diffracts when going through a small hole.
Analyze the data on the plot below. Determine the speed of the hawksbill sea turtle during each interval listed below.
HELP PLEASE!!!
Answer:
Day 0 to day 2: 5km/day
Day 2 to day 3: 2km/day
Explanation:
Day 0 to day 2: 10/2 = 5
Day 2 to day 3: 12 - 10 = 2
To Calculate:
The x-axis, or the days from 0 to 6, line up with the y-axis, or the distance from 0 to 24. The point in the graph means that on that day, the turtle traveled that much distance. For example, on the third point (2, 10), the day is 2 and the distance is 10. To find the distance over multiple days, catalog the days in your mind and look for the points. Then, find the difference. For example, from day 2 (2, 10) to day 5 (5, 18), this would look like: 5 - 2 = 3, and 18 - 10 = 8, so this means that over 3 days, the turtle traveled 8 km.