A mass of 17 g and a radius of 6.0 cm. when inserted into a player, the cd starts from rest and accelerates to an angular velocity of 21 rad/s in 0.80 s. assuming the cd is a uniform solid disk, the net torque acting on the CD is 16063.5 g cm²/s².
To determine the net torque acting on a uniform solid disk, we need to find the moment of inertia and the net force acting on it.
The moment of inertia (I) of a uniform solid disk can be found using the formula: I = (1/2)mr², where m is the mass and r is the radius. In this case, I = (1/2)(17 g)(6.0 cm)² = 612 g cm².
The net torque (τ) can be found using the formula: τ = Iα, where α is the angular acceleration. To find α, we need to use the formula: α = Δω/Δt, where Δω is the change in angular velocity and Δt is the change in time. In this case, Δω = 21 rad/s and Δt = 0.80 s, so α = Δω/Δt = 21/0.80 = 26.25 rad/s².
Finally, the net torque can be found using the formula: τ = Iα = (612 g cm²)(26.25 rad/s²) = 16063.5 g cm²/s².
Therefore, the net torque acting on the CD is 16063.5 g cm²/s².
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A parallel plate capacitor is connected across a voltage V so that each plate of the capacitor collects a charge of magnitude Q. Which of the following is an expression for the energy stored in the capacitor? O QV O Q/V. O V/Q O 1/2 QV
O 1/2 QV^2
The capacitor's energy reserve is [tex]\frac{1}{2} QV[/tex]
Consider a parallel plate capacitor that has a +q charge at all times.
giving a nominal fee "dq"
W.D = dw
V = d w / q
V = q/c
dw = (q/c) dq
In an electrical circuit, a capacitor is a component that is used to hold charges. A capacitor operates under the premise that when an earthed conductor is moved close to a conductor, its capacitance increases noticeably. As a result, a capacitor has two plates with equal and opposite charges that are spaced apart.
total W.D. in levying a fine plus Q
[tex]\int\limits dw = \int\limits^Q_0 (q/c) dq[/tex]
w = [tex]\frac{1}{c} \frac{Q^2}{2}[/tex]
The energy created by the work is then stored in the form of energy,
[tex]E = \frac{Q^2}{2C}[/tex]
and
[tex]Q = \frac{1}{2} CV^2[/tex]
[tex]Q = \frac{1}{2} QV[/tex]
The capacitor's energy reserve is
[tex]E = \frac{Q^2}{2C}[/tex]
[tex]E = \frac{1}{2} QV[/tex]
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Given Data: Radius=350m, Speed= 72kmph, a = - 1.25m / (s ^ 2)
Determine magnitude of total acceleration 1) Immediately after the brakes have been applied, and
2) After 4 secs
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.
How do you determine a car’s acceleration when braking?
To calculate the acceleration, use v=u+at, where v is the end velocity, u is the beginning velocity, t is the time, and an is the car’s mean acceleration. To calculate the distance traveled, use s=ut+12at2 or v2=u2+2as (You can use both). S is the distance the automobile has traveled since it began to brake.
The formula for determining the magnitude of a vector v = (x, y) in two dimensions is: |v| =(x2 + y2). The Pythagorean theorem is used to derive this formula.
The formula for determining the magnitude of a vector V = (x, y, z) in three dimensions is: |V| = (x2 + y2 + z2).
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why must a laboratory thermometer be left in place to take a reading 
Answer:
I don't know why?? is this a homework question or a riddle?
A block of metal requires a frictional force F to keep it moving with constant velocity across a surface. If the coefficient of friction is μ, then the normal force N is given by _____?
Answer: The normal force N is given by N = μ * F, where μ is the coefficient of friction and F is the frictional force required to keep the block of metal moving with constant velocity across a surface. The frictional force F is equal to the normal force N multiplied by the coefficient of friction μ. The normal force is the force exerted by the surface on the block of metal perpendicular to the surface, and it is what opposes the weight of the block and prevents it from sinking into the surface.
Explanation:
Which one to pick
the steps that involve hydrogen during photosynthesis
The steps are shown, but they are not in the correct order.
1 - Water is broken down into oxygen and hydrogen.
2 - Glucose is broken down to be used by plants.
3 - Hydrogen combines with carbon dioxide to form glucose.
4 - Hydrogen enters the plant as part of water.
The correct order of steps (4,1,3,2) that show how hydrogen is involved during photosynthesis is as follows:
4 - Hydrogen enters the plant as part of water.1 - Water is broken down into oxygen and hydrogen.3 - Hydrogen combines with carbon dioxide to form glucose.2 - Glucose is broken down to be used by plants.What is Photosynthesis?Green plants use the process of photosynthesis to create their own nourishment with the help of solar energy.
Certain compounds are necessary for photosynthesis and are employed as reactants. Water, carbon dioxide, and solar light energy are some of these substances.
The correct steps are 4, 1, 2, 3
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modeling waves quick check 1 of 41 of 4 items question use the image to complete the statement. compared to wave a, wave b has a . (1 point) responses shorter wavelength and greater frequency shorter wavelength and greater frequency shorter wavelength and lower frequency shorter wavelength and lower frequency longer wavelength and lower frequency longer wavelength and lower frequency longer wavelength and greater frequency
Compared to wave A, wave B has a longer wavelength and lower frequency.The correct answer is C.
The distance between two adjacent crusts or troughs is known as the wavelength.The frequency is the quantity of waves passing a specific spot in a unit of time.
The relationship between wavelength and frequency is inverse, meaning that waves with shorter wavelengths have higher frequencies while those with longer wavelengths have lower frequencies.
As seen in the illustration, wave B has a greater difference between its two consecutive crests or troughs than wave A. Since wavelength and frequency are inversely related, this indicates that wave B has a lower frequency and a longer wavelength.
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In order to understand the impact of climate change, a scientist collected measurements of average yearly sea surface temperatures from 1880 to 2012. His data is graphed below. What scientific question could be most accurately investigated based on the data collected by this scientist?
How did volcanic activity change with average sea surface temperatures?
How did melting arctic sea ice change average sea surface temperatures?
How did average sea surface temperatures change with increased aquaculture?
How did average sea surface temperatures change with time?
Based on the given graph, the most accurate scientific question investigated is: How did average sea surface temperatures change with time?
As greenhouse gases capture more solar energy, the oceans absorb more heat, resulting in higher sea surface temperatures and rising sea level.
Changes in ocean temperatures and currents caused by climate change will cause changes in global climate patterns. Warmer waters, for example, may stimulate the development of stronger storms in the tropics, causing property damage and loss of life. The consequences of rising sea levels and higher storm surges are especially significant to coastal populations.
During the twentieth century, global ocean surface temperatures rose. Even with some year-to-year variance, the overall increase is obvious, and sea surface temperatures have consistently been higher over the last three decades than at any previous period since reliable monitoring began in the late 1800s.
In the given graph, the x-axis is time in years while the y-axis is the change in sea surface temperature over the years. Hence, the correct question is: how did average sea surface temperatures change with time?
The graph in your question was missing, most likely it was like on the attached picture.
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A 3kg book is resting high on a book shelf. If the book has 73.5 J of potential energy, how high is the shelf?
2.5m
If this book slipped off the shelf and fell all the way to the ground, how much kinetic energy would it have the instant it hit the ground (if we ignore air resistance)?
____J
Answer:
0 J
Explanation:
1. We know that U = mgh,
h = U/mg
or h = 73.5/3*9.8 = 2.5 m
2. When the book falls on the ground, there will be no kinetic energy by the book as the book will once again be stationary, and will convert this kinetic energy to other forms, so your answer must be 0 J.
An asteroid revolves around the Sun with a mean orbital radius 2.5 times that of Earth’s. Predict the period of the asteroid in Earth years.
The period of the asteroid that revolves around the Sun with a mean orbital radius 2.5 times is 3.95 year.
What is Kepler's third law?The cubes of the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, a planet's period of orbiting the Sun should increase rapidly as its orbital radius does.
Given that:
An asteroid revolves around the Sun with a mean orbital radius 2.5 times that of Earth’s.
Hence, the period of the asteroid is = (2.5)^(3/2) × 1 year
= 3.95 year.
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you have a stopped pipe of adjustable length close to a taut 62.0 cm , 7.25 g wire under a tension of 4510 n . you want to adjust the length of the pipe so that, when it produces sound at its fundamental frequency, this sound causes the wire to vibrate in its second overtone with very large amplitude. the speed of sound in air is 344 m/s .
The required length of the pipe when tension in the pipe is given is calculated to be 0.1144 m.
The length of the taut is given as L = 62 cm = 0.62 m
Mass of the wire is given as 7.25 g = 7.25 x 10⁻³ kg
Tension in the wire = 4510 N
The speed of sound is 344 m/s.
We first determine the wave's speed on a string to get the length of the pipe by:
v = √F/μ ----(1)
where,
v = speed
F = tension
μ = linear density
m is the mass, and L is the length, so = m/L.
Thus, v = √FL/m = √(4510)(0.62)/(7.25 x 10⁻³) = √(385.68 x 10³) = 10 ×√(3856.8) = 621.03 m/s
Now, we use to determine the wire's frequency
f = n v /L
where, f is frequency
Second overtone has large amplitude, n = 3
f = 3(621.03)/2×0.62 = 1502.49
Using the second equation, we can now determine the pipe's length. the frequency of the pipe and the wire is the same, therefore,
f = n v /2L
n = 1, fundamental frequency
L = v/2f = 344/(2×1502.49) = 344/3004.98 = 0.1144 m
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A television advertisement claiming that a product is light-years ahead of its time does not make sense because _________.
it uses "light-years" to talk about time, but a light-year is a unit of distance
It refers to a light-year as a period of time rather than a unit of distance, this statement is illogical.
When a star is traveling away from us, what happens to the light?The waves are dispersed and we notice a reddish shift in the color, which denotes a red shift, if a star or galaxy is moving away from us. We see the light waves have a bluish tint as a star or galaxy approaches us, indicating a blue shift.
One light-year distance: What does that mean?We measure the distance of most celestial objects in terms of light years. The length of one Earth year that light travels is measured in light-years. About 6 trillion miles separate one light-year (9 trillion km). It's a 6 with 12 zeros behind it.
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the velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. use the midpoint rule to estimate the distance traveled (in mi) by the car over the interval [0, 100]. (use the midpoint rule with 5 subintervals. round your answer to one decimal place.)
The distance traveled (in mi) by the car over the interval [0, 100] is 1.37222
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. The phrase is widely used figuratively to denote a measurement of the amount of difference between two similar objects (or a degree of separation), as spatial cognition provides a rich source of conceptual metaphors in human understanding (as exemplified by distance between people in a social network). The concept of a metric space is used in mathematics to formalize the majority of these conceptions of distance, both literal and figurative.
The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table.
Divide the interval [0,100] into 5 subintervals :
[tex]\Delta[/tex] x = [tex]\frac{100-0}{5}[/tex] = 20 sec
[tex]\Delta[/tex] x = [tex]\frac{20}{3600}[/tex] hour
[tex]M_5=v(10)\Delta x+v(30)\Delta x+v(50)\Delta x +v(70)\Delta x+v(90)\Delta x[/tex]
[tex]M_5=(38+58++51+53+47)\frac{20}{3600}[/tex]
[tex]M_5=1.37222[/tex]
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After throwing the ball in the air, it eventually converted the gained gravitational PE back into kinetic energy as it fell back down. What happened to that kinetic energy when the ball comes to a halt when it hits the table? Select all that apply: a. The energy was converted into thermal kinetic energy (it heated up the ball and table surface during the impact slightly)b. The energy was converted into chemical potential energy. c. The energy was lost d. The energy was converted into sound (kinetic energy associated with vibrations of air molecules)
As there is no evidence to suggest that the energy was converted into chemical potential energy.
Hence, except (b) all are true.
After the ball reaches its maximum height and starts falling back down, the gained gravitational potential energy is converted back into kinetic energy.
When the ball comes to a halt after hitting the table, the following happens to the kinetic energy:
a. The energy was converted into thermal kinetic energy (it heated up the ball and table surface during the impact slightly).
c. The energy was lost (to the surroundings in the form of heat, sound, and deformation of the ball and table surface).
d. The energy was converted into sound (kinetic energy associated with vibrations of air molecules).
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A 0.018 kg marble sliding to the right at 0.42 m/s on a frictionless surface makes a elastic head-on collision with a 0.018 kg marble moving to the left at 0.32 m/s. After the collision, the first marble moves to the left at 0.27 m/s. What is the velocity of the second marble after the collision?A 0.018 kg marble sliding to the right at 0.42 m/s on a frictionless surface makes a elastic head-on collision with a 0.018 kg marble moving to the left at 0.32 m/s. After the collision, the first marble moves to the left at 0.27 m/s. What is the velocity of the second marble after the collision?
The velocity of the second marble after the collision is 0.47 m/s
According to conservation of linear momentum
The law of conservation of momentum states that in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed
M1u1 + M2u2 = M1v1 + M2v2
0.018 x 0.42 + 0.018 x 0.32 = 0.018 x 0.27 m/s + 0.018 x v2
0.00756 + 0.00576 = 0.00486 + 0.018 x v2
0.01332 = 0.00486 + 0.018 x v2
0.00846/0.018 = v2
v2 = 0.47 m/s
Hence, velocity of the second marble after the collision is 0.47 m/s
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DRAW the lines of convergence and area of convergence in this picture
PLEASE HELPPP
Draw lines from each point of the area of convergence to the point of convergence and extend them until they intersect.
How to draw the lines and area of convergence?To draw the lines of convergence and the area of convergence, first draw the line that divides the area into two parts. Then draw the lines that connect the points where the opposing forces meet. Finally, draw a circle around the area of convergence, with the convergence lines drawn from its center to the edges.
Convergence lines:
1. The line that divides the area of convergence into two parts.
2. The line that connects the points where opposing forces meet.
Area of convergence:
The area of convergence is the area where the opposing forces meet and interact. This area can be visualized as a circle, with the convergence lines drawn from its center to the edges. The area of convergence is often characterized by a high level of activity, with the opposing forces keeping each other in check.
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A bat emits a sound with a frequency of 134 kHz in a cave where the temperature is 28°C. Assume that air behaves like an ideal monatomic gas and use the fact that the speed of sound in air at 20.0°C is 343 m/s to determine the wavelength of the sound emitted by the bat.
The wavelength of the sound is 2.6 x 10⁻³ m.
What is the wavelength of the sound?The wavelength of the sound or distance travelled by the sound wave is calculated by applying the following formula.
v = fλ
λ = v / f
where;
v is the speed of the sound wave = 343 m/sf is the frequency of the sound wave = 134 kHzλ is the wavelength of the sound wave = ?The wavelength of the sound is calculated as follows;
λ = v / f
λ = ( 343 m/s ) / ( 134,000 Hz )
λ = 2.6 x 10⁻³ m
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You have isolated a highly lethal toxin from an octopus that you have reason to believe binds with high affinity to the pore opening of a voltage-gated sodium channel. To determine the effect of toxin binding, you perform a patch clamp experiment. Based on the following results, what do you conclude is the effect of the toxin on channel function (downward deflections indicate channel opening)?
Based on the results we conclude that the toxin delays channel closing.
What is toxin?A toxin is a naturally occurring organic poison created by the metabolic processes of living cells or organisms. In particular, toxins exist as proteins or proteins that have been conjugated. Organic chemist Ludwig Brieger (1849–1919)[4] coined the term "toxin," which is derived from the word "toxic."
Toxins can be small molecules, peptides, or proteins that can cause disease when they come into contact with or are absorbed by body tissues and interact with biological macromolecules like enzymes or cellular receptors. Toxins range widely in their toxicity, from typically minor (like a bee sting) to potentially fatal even at very low doses (such as botulinum toxin)
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A bicycle initially at rest accelerates for t = 18.5 seconds at a rate of a=1.5m/s^2. a) Calculate the distance, in meters, that the bicycle traveled during that period. b) Enter an expression, in terms of defined quantities, for the final velocity of the bicycle after time t. c) Calculate the final speed, in meters per second
The distance, in meters, that the bicycle traveled during that period is 256.68m and an expression, in terms of defined quantities, for the final velocity of the bicycle after time t is v= 1.5×t and the final velocity is 27.75[tex]\frac{m}{s }[/tex].
Given time t=18.5s
acceleration (a) = 1.5[tex]\frac{m}{s^{2} }[/tex]
We know
[tex]s=ut+\frac{1}{2}at^{2}[/tex]
where s is the distance and u is the initial velocity and t is the time taken and a is the acceleration due to gravity.
[tex]s=0+\frac{1}{2}\times1.5\times18.5^{2}[/tex]
s= 256.68 m
Now, as we know by first equation of motion
v= u+at
where v is the final velocity and u is the initial velocity and a is the acceleration due to gravity and t is the time taken.
v= 1.5×t
v = 1.5×18.5
v= 27.75[tex]\frac{m}{s }[/tex]
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Please Answer A B C D
Answer:
D
Explanation:
Which of the following setup will the induced current be equal to zero?
There is a zero induced magnetic field in the image shown in A.
When would the induced current be zero?
We know that the principle of electromagnetic induction states that there would be an induced emf only when there is a change in the induced magnetic flux. In this case, we would have to look at each of the images so as to know where there is no change in the magnetic flux.
The induced current is zero in a conductor when there is no change in magnetic field passing through it as shown in image A.
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how do the following affect how can see an object? A. removing, blocking, or changing the light source, B. closing the eye, and changing the path of the light.
The following affect how can see an object is removing, blocking, or changing the light source. so, option (a) is correct.
What is light?
The electromagnetic radiation known as light is what enables the human eye to see and makes things visible. It can also be described as radiation that can be seen by humans. Light is made up of small energy packets called photons. Light moves in a straight line at all times.
What is light source?
An artificial or natural light source is anything that produces light. The Sun and stars are examples of natural light sources. Televisions and lampposts are examples of artificial lighting sources. Without light sources, we wouldn't be able to view the world around us, yet not all things we can see are light sources.
Therefore, following affect how can see an object is removing, blocking, or changing the light source. so, option (a) is correct.
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Two objects of mass m and 3m are placed in a frictionless air-track with a compressed spring between them. The spring is released and shares its energy between the two masses. The kinetic energy imparted on mass is..
A. 1/8 of the total energy stored in the spring
B. The same as that on mass 3m
C. Twice the total energy stored in the spring
D. 3/4 of the total energy stored in the spring
D. 3/4 of the total energy is stored in the spring, As per conservation of energy where the energy stored in the Spring will pass to the masses kept there.
As Conservation of energy states that energy remains conserved in case of elastic collisions. And here we can say that on a Frictionless surface, no energy would be dissipated.
So as 3/4 of the mass is at the mass with 3m so to equate the energy, which we can say 3/4 of the total energy Let's see how-
3Mv1 + Mv2 =0
3v1 = -v2
so we can see the speed of lighter mass will be thrice so so energy will be
1/2mv^2 so we can conclude the energy of mass with 3m will have the energy of 3/4
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1. A piece of purple plastic is charged with 1.55×106
extra electrons compared to its neutral state. What is its net electric charge (including its sign) in coulombs?
net electric charge:
2. A glittering glass globe is given a net electric charge of 9.53×10−6
C. Does the globe now have more or fewer electrons than it does in its neutral state?
fewer/more
3. How many more or fewer?
amount:
1. the net electric charge of the plastic is 2.48 × 10⁻¹³ Coulomb
2. The globe now has less electrons than it does in its neutral state.
3. Total number of less electrons on globe is 5.95 × 10¹³.
What is charge?Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field.
1. the net electric charge of the plastic is
= 1.55×10⁶ × 1.6 ×10⁻¹⁹ Coulomb
= 2.48 × 10⁻¹³ Coulomb
2. The globe now has less electrons.
3. less electrons on globe = (9.53 × 10⁻⁶) ÷ 1.6 ×10⁻¹⁹
= 5.95 × 10¹³
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Which of the following best explains the pattern in no concentration? no is a secondary pollutant with a long residence time in the atmosphere. no is produced by rush-hour traffic and is quickly oxidized in the atmosphere. no does not play a significant role in smog formation. no is formed in the lower atmosphere in the morning by the rising sun
The answer choice that best explains the pattern in no concentration is "no is produced by rush-hour traffic and is quickly oxidized in the atmosphere."
What is NO?NO (Nitrogen Oxide) is a secondary pollutant which means it is not directly emitted into the atmosphere but is produced as a result of chemical reactions involving primary pollutants (e.g. emissions from vehicles).
NO is primarily produced by the combustion of fossil fuels, particularly during rush-hour traffic. It has a short lifespan in the atmosphere due to its quick oxidation into other pollutants, such as nitrogen dioxide.
It does not play a significant role in smog formation and is not specifically formed in the lower atmosphere by the rising sun.
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An air-conditioning system requires a 34-m-long section of 12-cm-diameter ductwork to be laid underwater. Determine the upward force the water will exert on the duct. Take the densities of air and water to be 1.3 kg/m3 and 1000 kg/m3, respectively.
The upward force the water will exert on the dust is 3770.3 Newton. The result is obtained by using the formula for buoyant force.
What is buoyant force?According to Archimedes principle, the buoyant force is the upward force exerted by a fluid on an object placed in them. The magnitude of the buoyant force is equal to the weight of a fluid displaced by an object.
The buoyant force can be expressed as
Fb = ρgV
Where
Fb = buoyant forceρ = density of fluidg = acceleration due to gravityV = volume of object immersed under the fluidWe have a ductwork with
L = 34 md = 12 cm = 0.12 mρ air = 1.3 kg/m³ρ water = 1000 kg/m³Find the upward force by the water on the duct!
The upward force exerted is called the buoyant force. So, we can solve the problem by using the formula above.
We find the volume immersed under the water.
V = πr²L
V = π(½d)²L
V = ¼πd²L
V = ¼(3.14)(0.12)²(34)
V = ¼(3.14)(0.12)²(34)
V = 0.384336 m³
We use g = 9.81 m/s². The upward force will be
Fb = ρgV
Fb = 1000 × 9.81 × 0.384336
Fb ≈ 3770.3 Newton
Hence, the water will exert the upward force of 3770.3 Newton on the duct.
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PLEASE ASAAAAAP
Just do the last part I have filled in the rest
Fill in the last one please
Based on the equation D = ΔT 8.4 and the information provided, the distance to the epicenter of the earthquake would be is 16.8 kilometers.
What is the epicenter of an earthquake?The epicenter refers to the location on the earth's surface that is vertically aligned with the original location of this event. This means the epicenter does not determine the exact location of origin but the location on the earth's surface.
What is the distance to the epicenter?The equation to know this is D =ΔT 8.4. In this equation:
T = difference in time between the P and the S waveNow, let's calculate the distance:
D =ΔT 8.4
D = 2 x 8.4
D = 16.8 km
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An air pollution expert set up a monitoring program to determine the amount of particulate matter (PM) leaving a farmer's field after crops were harvested and the soil was bare. She set up high-volume air samplers 10 meters from each edge of the square field and collected samples weekly for two months. When she looked at her data, she was surprised by how much the PM levels varied, both from site to site on a given date and over time at each site. Which of the following parameters would have been best to measure to help explain the variation in her results?
A. Percent of cloudy days over the two months
B. Particle size of the soils in the field
C. Depth of the organic matter in the soil
D. Wind direction and speed
D) The differences in her outcomes Wind speed and direction. Spectrometry includes the widely used absorption spectrophotometry, atomic absorption spectrometry, and ICP emission method.
How was a monitoring program established by an expert in air pollution to determine the quantity of particle matter?When crops were harvested and the soil was bare, an expert in air pollution put up a monitoring scheme to find out how much particle matter (PM) was leaving a farmer's land. She placed high-volume air samplers 10 meters from the square field's edges and took samples once a week for two months.
Which three methods are utilized to gauge air toxins?Following are detailed examples of how spectrometry (which is frequently used) and chromatography (gas chromatography and liquid chromatography) can be used to manually analyze air pollutants.
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Peter set up an experiment. He cut three holes in a piece of card. Two of the holes were covered by coloured filters as shown below. Peter placed a red filter between the piece of card and a white screen. He shone white light at the piece of card with three holes in it. white screen red filter What would Peter see on the screen?
(PLEASE HELP QUICK)
The red filter only allows red light to pass through it. It absorbs all of the other colours in the white light. Therefore only red light reaches the green filter.
What is Rectilinear propagation of light ?
Rectilinear propagation of light refers to the straight-line movement of light in a vacuum. According to the laws of physics, in the absence of any objects or materials that can bend or refract light, light travels in a straight line. This is why, when you look at a distant object, you see a straight line extending from your eye to the object. When light encounters a material or object, its path may be bent or refracted, causing it to deviate from a straight line. The amount of bending or refraction depends on the properties of the material, such as its refractive index, as well as the angle at which the light hits the material.
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A charged particle ( 7.58 x 10⁻⁶ kg and -6.9 x 10⁻⁹ C ) accelerates in a uniform electric field: (see 2nd image)
Assuming that the only force acting on the particle is due to the electric field, calculate the acceleration of the particle in m/s², taking the direction of the field as the positive direction (see 3rd image). Remember that F=ma.
Round to the nearest hundreth.
Will give brainliest if correct. Please show method/explaination down below.
Answer:
-9.20 m/s²
Explanation:
We can calculate the acceleration of the particle using the equation F = ma. We know that the force acting on the particle is given by the equation F = qE, where q is the charge of the particle and E is the electric field. So we can write:
ma = qE
We know the mass of the particle, the charge of the particle, and the electric field. We can substitute these values into the equation to find the acceleration:
a = qE/m = (-6.9 x 10⁻⁹ C)(3.5 x 10⁵ N/C) / (7.58 x 10⁻⁶ kg) = -9.20 m/s²
So the acceleration of the particle is -9.20 m/s². It is acting in the opposite direction of the electric field.
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A small object begins a free‑fall from a height of 22.0 m. After 1.10 s, a second small object is launched vertically upward from the ground with an initial velocity of 32.0 m/s. At what height ℎ above the ground will the two objects first meet?
Answer:
To find the height at which the two objects will first meet, we need to use the equations of motion for free fall and vertical upward motion.
The equation for free fall is:
h = h0 + v0t + (1/2)at^2
where h is the height of the object at time t, h0 is the initial height, v0 is the initial velocity (which is zero for free fall), and a is the acceleration due to gravity (which is 9.8 m/s^2 downward).
The equation for vertical upward motion is:
h = h0 + v0t - (1/2)gt^2
where h is the height of the object at time t, h0 is the initial height, v0 is the initial velocity, and g is the acceleration due to gravity (which is 9.8 m/s^2 downward).
We know that the first object is in free fall, and that it began at a height of 22.0 m. We also know that the second object was launched upward with an initial velocity of 32.0 m/s, 1.10 s after the first object was released.
We can use these values to find the height of the first object at the time the second object is launched:
h1 = 22.0 + 0 + (1/2)(-9.8)(1.10^2) = 20.27 m
We can use this value as the initial height for the second object:
h2 = 20.27 + 32.0(1.10) - (1/2)(-9.8)(1.10^2) = 37.47 m
Now we need to find the time at which the two objects will meet. We can use the height of the first object at the time the second object is launched, and the equation for free fall to find the time it takes for the first object to reach the height of the second object:
37.47 = 20.27 + 0 + (1/2)(-9.8)t^2
Solving for t, we find that the objects will meet at a time of approximately 1.47 seconds.
Finally, we can use this time to find the height at which they will meet:
h = 22.0 + 0 + (1/2)(-9.8)(1.47^2) = 37.47 m
So the objects will first meet at a height of 37.47 m above the ground.
