A light source recedes from an observer with a speed vS that is small compared with c. (a) Show that the fractional shift in the measured wavelength is given by the approximate expressionΔλ/λ ≈ vS/cThis phenomenon is known as the redshift because the visible light is shifted toward the red.
Answers
The fractional shift in the measured wavelength, Δλ/λ, is approximately equal to vS/c. This result shows that the observed wavelength is shifted towards longer wavelengths (redshift) when the light source is receding from the observer.
In this case, the light source is receding from the observer with a speed vS that is small compared with the speed of light (c). We want to find the fractional shift in the measured wavelength, which can be represented as Δλ/λ.
The Doppler effect for light can be expressed using the following equation:
λ' = λ(1 + vS/c)
where λ' is the observed wavelength, λ is the emitted wavelength (rest wavelength), vS is the speed of the source (recession speed), and c is the speed of light.
Now, let's find the fractional shift in the measured wavelength:
Δλ = λ' - λ
Substituting the expression for λ' from the Doppler effect equation:
Δλ = λ(1 + vS/c) - λ
Simplifying:
Δλ = λ(vS/c)
Dividing both sides of the equation by λ:
Δλ/λ = vS/c
Note: This derivation assumes non-relativistic speeds (vS << c) and is an approximate expression. For high-speed or relativistic scenarios, additional factors need to be taken into account.
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Related Questions
Example of first, second and third law of motion.
Answers
Examples of Newton's three law of motion.
First law of motion: A rocket being launched up in the atmosphere.
Second law of motion:while riding a bicycle, a bicycle acts as a mass and our legs pushing on the pedals of the bicycle is the force.
Third law of motion:when we jump off from the boat,the boat moves backward.
Hope,it will helpyouu!
1. At a divergent boundary the asthenosphere is rising.
a. true
b. false
2. To determine the rate of speed a plate is moving, which is true?
a. speed (or velocity) = distance x time
b.speed (or velocity) = time x distance
c. speed (or velocity) = time/distance
d. speed (or velocity) = distance/time
3. Divergent boundaries are also known as constructive margins.
a. true
b. false.
4. Divergent boundaries may form on continents.
a. true
b. false
Answers
1. At a divergent boundary the asthenosphere is rising.
a. true
This statement is true. At a divergent boundary, the asthenosphere rises up to fill the gap created by the separation of the two plates.
2. To determine the rate of speed a plate is moving, which is true?
d. speed (or velocity) = distance/time
This equation is the correct way to determine the rate of speed a plate is moving. By dividing the distance the plate has moved by the amount of time it took to move that distance, you can calculate the speed or velocity of the plate.
3. Divergent boundaries are also known as constructive margins.
a. true
This statement is true. Divergent boundaries are also known as constructive margins because they are areas where new crust is created as the plates move away from each other.
4. Divergent boundaries may form on continents.
a. true
This statement is true. Divergent boundaries can form on continents, creating rift valleys and eventually leading to the formation of new oceans. An example of this is the East African Rift Valley, which is currently forming as the African plate is splitting into two separate plates.
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Q3. A space probe is traveling in outer space with a momentum that has a magnitude
of . A retrorocket is fired to slow down the probe. It applies a force to
the probe that has a magnitude of and a direction opposite to the probe’s
motion. It fires for a period of 12 s. Determine the momentum of the probe after the
retrorocket ceases to fire
Answers
The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s
What is the momentum?We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.
According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.
We know that;
\(F_{t}\) = \(p_{f}\) -\(p_{i}\)
F = force
t = time taken
\(p_{f}\)= final velocity
\(p_{i}\) = initial velocity
\(p_{f}\) = \(F_{t}\) + -\(p_{i}\)
\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7
\(p_{f}\) = 2.4 * 10^7 + 7.5 * 10^7
\(p_{f}\) = 9.9 * 10^7 Kg m/s
Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.
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Missing parts;
A space probe is traveling in outer space with a momentum that has a magnitude of 7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0 * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8 partsimillion (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 990 samples is 5.7 pprm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 1 of 5 : Enter the hypotheses: Answer 2 Points Keyboard shortcuts Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 990 samples is 5.7ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 2 of 5 : Enter the value of the z test statistic. Round your answer to two decimal places. Our environment is very sensitive to the amount of ozonein the upper atmosphere. The level of ozone normaly found is 5.8partsimillion(ppm).A researcher believes that the current ozone level is at an insufficient kevel. The mean of 990 samples is 5.7ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 3 of 5 : 5 pecify if the test is one talled or twotalled. Answer 2 Points Keyboard Shortcuts One-Taileditest Two-Tailed Test Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8 parts/million (pprn). A researcher believes that the current ozone level is at an insufficient level. The mean of 990 samples is 5.7ppm. Assume the standard deviation is: known to be 1.1. Does the data support the claim at the 0.02 fevel? Step 4 of 5 : Enter the decision rule Answerkow to enteryour answer fopens in hewiviouat 2. Points Reject H 0
if z< Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8 parssimillion (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 990 samples is 5.7 ppmi Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 5 of 5 : Enter the condusion. Answer 2 Points Keybosrd Shortcuis Reject Null Hypothesis Fail to Reject NullHypothesis
Answers
Hypotheses
Null Hypothesis (H₀): The current ozone level is not significantly different from the normal level of 5.8 ppm.
Alternative Hypothesis (H₁): The current ozone level is significantly lower than the normal level of 5.8 ppm.
Z-test statistic
To calculate the z-test statistic, we use the formula:
z = (sample mean - population mean) / (standard deviation / √sample size)
Given:
Sample mean (x) = 5.7 ppm
Population mean (μ) = 5.8 ppm
Standard deviation (σ) = 1.1
Sample size (n) = 990
Plugging in the values:
z = (5.7 - 5.8) / (1.1 / √990)
z ≈ -2.28
Type of test
This is a one-tailed test. We are interested in whether the ozone level is significantly lower, not higher, than the normal level.
Decision rule
Since the significance level is 0.02, we reject the null hypothesis if the z-test statistic is less than the critical value corresponding to a 0.02 (2%) one-tailed significance level.
Conclusion
The z-test statistic value of -2.28 falls in the critical region and is less than the critical value for a 0.02 (2%) one-tailed test. Therefore, we reject the null hypothesis. The data supports the claim that the current ozone level is significantly lower than the normal level at the 0.02 level.
In summary, the data provides evidence to support the researcher's claim that the current ozone level is insufficient at a significance level of 0.02. The calculated z-test statistic of -2.28 falls in the critical region, leading to the rejection of the null hypothesis.
This suggests that there is a significant difference between the observed sample mean of 5.7 ppm and the expected population mean of 5.8 ppm. The ozone level appears to be lower than normal, warranting further attention and investigation.
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Hypertension The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from 52 population samples in 32 countries (Brown et al.) [14] One of the goals of the INTERSALTStudy was to quantify the relationship between 24-hour urinary Na ly) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time. The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y 1.03 x 7.19, with R2 0.27, n 1369 11.25 What does the R2 of 0.27 mean in words?
Answers
In words, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time.
The INTERSALT Study was designed to investigate the relationship between dietary sodium and blood pressure (hypertension) in populations worldwide.
The study included 10,079 men and women from 52 population samples in 32 countries. One of the goals of the study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time.
The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03x + 7.19, with R2 = 0.27, n = 1369.
The coefficient of determination, R2, is a statistical measure that represents the proportion of the variance for a dependent variable (y) that's explained by an independent variable (x) or variables in a regression model.
In this case, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time. The remaining 73% of the variability in y is due to other factors that are not included in the regression model.
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A polymerization process is used to create a synthetic rubber material known as styrene butadiene copolymer. Explain the difference between a chemical formula and a chemical equation, using this copolymer as an example.
Answers
Answer:
the picture is so blured can you type it in comment i will wait:(
A circuit has a current of 2 A. If the resistance in the circuit decreases to one-fourth of its original amount while the voltage remains constant, what will be the resulting current
Answers
Answer:
8AExplanation:
According to ohm's law, V = IR where;
V is the supply voltage (in volts)
I is the current supplied (in amperes)
R is the resistance (in ohms)
Initially, I = 2A, hence V = 2*R;
V = 2R .................... 1
If the resistance in the circuit decreases to one-fourth of its original amount while the voltage remains constant, then the new resistance will be expressed as R₂ = 1/4 R and V₂ = V
Substituting the new conditions into the ohms law formula, we will have;
V₂ = I₂R₂
I₂ is the resulting new current
V = I₂ (1/4 R)
V = I₂ * R/4
V = I₂R/4 ...... 2
Substituting equation 1 into 2 we will have;
2R = I₂R/4
2 = I₂/4
cross multiply
I₂ = 4*2
I₂ = 8A
Hence the resulting new current is 8A
2.) a spring is placed at the bottom of an incline in which it takes 270 n of force to compress it 2cm. a 12 kg block is released from rest at the top of the 30 degree frictionless incline plan. the block momentarily stops when it compresses the spring by 5.5cm. a) what is the maximum displacement of the block? (how far does the block move down the incline from rest?) b) what is the maximum speed of the block? 3.) resolve problem
Answers
a. the maximum displacement of the block is 0.347m
b. the maximum speed of the block is 1.7 m/s
What is displacement?If an object moves relative to a reference frame. For example, if a professor moves to the right relative to a whiteboard, or a passenger moves toward the rear of an airplane, then the object's position changes. This change in position is known as displacement.
Now, how to calculate the maximum displacement of the block?
spring constant F = kx
k = F / x
F = 270N
x = 0.02
k = 270 / 0.02
= 13,500
Let the maximum displacement of the block = l
now by conservation of energy
1/2 k * x^2 = mglsin30
1/2 * 13,500 * 0.055^2 = 12 * 9.8 * lsin30
l = 0.347m (this is the answer for question a)
Now let's calculate the maximum speed of the block
Maximum speed occur at the point of equilibrium compression in the spring
kx = mgsin30
x = (12 * 9.8 * sin30) / 13,500
= 0.0044m
now by conservation of energy
1/2 mv^2 = mglsin30 - 1/2kx^2
x = 0.0044m
l = 0.347 - 0.055 + 0.0044
= 0.2964
6v^2 = 12 * 9.8 * 0.2964sin30 - 1/2 *13,500 * (0.0044)^2
v = 1.7 m/s (this is the answer for question b)
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The work done by a conservative force is indicated in FIGURE 8-23 for a variety of different paths connecting the points A and B. What is the work done by this force (a) on path 1 and (b) on path 2 ?
Answers
Since work is defined as the product of force and displacement, the work performed in moving from A to B is 15 J, and the work done in going from B to A is -15 J.
What is work?In physics, work is a measure of the energy transferred when a force acts on an object and causes it to move through a distance. Work is defined as the product of the force applied to an object and the distance through which that force acts. Mathematically, work is given by the formula:
W = F x d x cosΘ
where W is work, F is the force applied, d is the displacement of the object, and theta is the angle between the force and the displacement vectors. The unit of work is the joule (J), which is defined as the work done when a force of 1 newton (N) acts on an object to move it through a distance of 1 meter (m).
If the force is applied in the same direction as the displacement, then the angle theta is 0 degrees and cosΘ is equal to 1, so the formula for work simplifies to:
W = F x d
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A fish inside the water 12cm below the surface looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 the radius of circle is
Answers
Answer:
13.6 cm
Explanation:
From Snell's law:
n₁ sin θ₁ = n₂ sin θ₂
In the air, n₁ = 1, and light from the horizon forms a 90° angle with the vertical, so sin θ₁ = sin 90° = 1.
Given n₂ = 4/3:
1 = 4/3 sin θ
sin θ = 3/4
If x is the radius of the circle, then sin θ is:
sin θ = x / √(x² + 12²)
sin θ = x / √(x² + 144)
Substituting:
3/4 = x / √(x² + 144)
9/16 = x² / (x² + 144)
9/16 x² + 81 = x²
81 = 7/16 x²
x ≈ 13.6
In the documentary "Girlhood, " the two main characters Shanae and Megan had two very different reintegration experiences after being placed in a detention center. What factors do you think played a part in Shanae's successful reentry and Megan's more difficult reintegration?
Answers
In the documentary "Girlhood," Shanae and Megan face contrasting reintegration experiences after being placed in a detention center. Several factors contribute to the different outcomes for these two young women.
What factors played a part in Shanae's successful reentry and Megan's more difficult reintegration?Firstly, family support plays a crucial role in Shanae's successful reentry. She has a dedicated and loving mother who actively participates in her rehabilitation process. This strong family bond offers Shanae a sense of stability, emotional support, and guidance as she navigates her journey back into society.
In contrast, Megan lacks a reliable family support system, making her reintegration more challenging. Secondly, access to resources and opportunities is another factor influencing their reintegration experiences. Shanae receives consistent support from professionals, such as therapists and social workers, who provide her with the tools and skills needed for a successful transition.
Additionally, she gets involved in community activities that facilitate her personal growth and development. Unfortunately, Megan faces limited access to such resources, which hinders her ability to rebuild her life and find stability. Lastly, individual resilience and determination contribute to the differing outcomes for Shanae and Megan.
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What is the length of the x-component of the vector shown below?
Answers
The length of the x-component of the vector is approximately 48.55 units.
What is the length of the x-component of the vector?To find the length of the x-component of the vector, we need to use trigonometry.
We can use the angle and the magnitude (length) of the vector to find the x-component using the formula:
x-component = magnitude x cos(angle)
Plugging in the values given, we get:
x-component = 52 units x cos(21⁰)
x-component = 52 units x 0.9336
Multiplying these two numbers, we get:
x-component ≈ 48.55 units
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Why is communication an important part of the scientific process
Answers
Answer:
Communication is a vital component to the scientific process. It helps the scientist, if he/she was making an invention, tell people or get advice about the project, which couldn't be done without communication. Scientists need to communicate to learn, get advice, and collaborate with one another.
When your car moves along the highway at constant velocity, the net force on it is zero. Why, then, do you have to keep running your engine? a. To keep things like your radio and air conditioning running b. In case you have to suddenly accelerate C. To overcome frictional forces
Answers
The reason you have to keep running your engine when your car is moving at a constant velocity on the highway is to overcome frictional forces.
So, the correct answer is C.
Understanding Frictional forcesWhen your car is moving along the highway at a constant velocity, the net force acting on it is zero. However, you still need to keep running your engine to overcome the frictional forces acting on your car.
Frictional forces such as air resistance, rolling resistance, and the resistance caused by the engine and transmission of your car all act against the motion of your car.
Therefore, your engine needs to continue to produce power to counteract these forces and maintain your car's speed.
Additionally, keeping your engine running is important to power essential features of your car, such as your radio and air conditioning, and to prepare for sudden acceleration needs, such as when merging onto a highway or passing another vehicle.
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How does the electric force between two charges particles charge if the distance between them is increased by a factor of 2?
A. It increased by a factor of 4
B. It increased by a factor of 2
C. It decreased by a factor of 4
D. It decreased by a factor of 2
APEX???
Answers
Answer:
C
Explanation:
The electric force between two charged particles decreases by a factor of 4 if the distance between them is increased by a factor of 2. This is because the electric force is inversely proportional to the square of the distance between the charges. So, if the distance is doubled, the force is 1/4 as strong.
Thus, The answer is C.
Which are most likely to be used during a routine visit to the dentist?
CO
radiopharmaceuticals and X-rays
ultrasound and X-rays
lasers and tracers
ultrasound and radiopharmaceuticals
Answers
Answer:
The most likely items to be used are;
Ultrasound and X-rays
Explanation:
A routine visit to a dentist consists of two areas of activities, including;
a) Dental examination and check up
b) Oral prophylaxis, and dental cleaning
The dental examination may involve the use of X-rays, which allow the detection of cavities between the teeth
The dental cleaning can be carried out with the use of an ultrasound cleaner, which allow the cleaning of sensitive teeth without hurting the patient
Therefore, the items most likely to be used during a routine dental visit are ultrasound and X-rays
Answer:
ultrasound and x-rays
Explanation:
what happens when you put foil in the microwave?
Answers
Answer:
The foil makes the microwave spark it can smoke up and catch fie.
Explanation:
-The aluminum foil's sharp edges are what causes the fire, smoke, and sarks.
- Hope This Helps!
-Justin:)
Answer:
itll spark and catch fire
Explanation:
2a. A
becomes
jeep starts from it the
starts from it the state of rest. If its
velocity 60m/s and its take 5 minute: what is the accelera
ution of the jeep
the distanced travelled by
the jeep:
Answers
\( \bf \underline{ \underline{Given : }}\)
Initial velocity,u = 0 m/s Final velocity,v = 60 m/s Time taken,t = 5 min = 5 × 60 sec = 300 seconds\( \bf \underline{ \underline{
To \: be \: calculated : }}\)
Calculate the acceleration ( a ) and distance (s ) covered by the jeep.
\( \bf \underline{ \underline{Solution : }}\)
We will first calculate the acceleration of the jeep.
CASE 1 :
By Using first equation of motion ,
\( \sf \: v = u + at\)
\( \sf \star \: Substituting \: the \: values...\)
\( \sf\rightarrow \: 60 = 0 + a \times 300\)
\( \sf \rightarrow \: 60 = 300a\)
\(\sf \rightarrow \: 300a = 60\)
\(\sf \rightarrow \: a = \cancel \dfrac{300}{6} \)
\(\sf \rightarrow \: a = 50 \: m {s}^{ - 2} \)
Thus,the acceleration of the jeep is 50 m/s².
Now, Let us calculate the distance travelled by the jeep.
CASE 2 :
By Using third equation of motion ,
\( \sf {v}^{2} = {u}^{2} + 2as\)
\( \sf \star \: Substituting \: the \: values...\)
\(\sf \rightarrow \: {60}^{2} = {0}^{2} + 2 \times 50 \times s\)
\(\sf \rightarrow \: 3600 = 100s\)
\( \sf \rightarrow \: 100s = 3600\)
\(\sf \rightarrow \: s = \cancel\dfrac{3600}{100} \)
\(\sf \rightarrow \: s = 36 \: m\)
Thus,the distance covered by the jeep is 36 m .
HELP PLEASEEE!!!!
The mass of a proton in scientific notation is 1.6 x 10-24 grams. What is the mass of a proton in standard form?
a. 0.0000000000000000000000016 grams
b. 0.00000000000000000016 grams
c. 16000000000000000000000000 grams
d. 160 x 10-26 grams
Answers
Answer:
0.0000000000000000000000016
Explanation:
why does the amount of daylight change throughout the year
a. Earth's rotation on its axis
b. Earth's tilt relative to the sun
c. Atmospheric conditions
d. Lunar phases
Answers
The amount of daylight changes throughout the year due to Earth's rotation on its axis and its tilt relative to the sun.
The changing amount of daylight is primarily influenced by two factors: Earth's rotation on its axis and its tilt relative to the sun. Firstly, Earth's rotation on its axis causes periods of day and night. As the Earth rotates, different parts of its surface are exposed to the sun's light, resulting in alternating periods of daylight and darkness. This rotation takes approximately 24 hours, leading to the familiar cycle of day and night.
Secondly, Earth's tilt relative to the sun plays a crucial role in the changing amount of daylight throughout the year. The Earth's axis is tilted at an angle of about 23.5 degrees relative to its orbit around the sun. This tilt causes different parts of the Earth to receive varying amounts of sunlight throughout the year, leading to the changing seasons. During summer in the northern hemisphere, the North Pole is tilted towards the sun, resulting in longer days and shorter nights. Conversely, during winter, the North Pole is tilted away from the sun, leading to shorter days and longer nights. The opposite occurs in the southern hemisphere. This tilt and its effect on daylight duration is the reason for the seasonal variations we observe on Earth.
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The photo shows a person pumping gasoline into a car
Which TWO of these energy transformations will occur when the car’s engine starts?
A. Chemical energy —> thermal energy
B. Chemical energy —> mechanical energy
C. Mechanical energy —> Chemical energy
D. Thermal energy —> chemical energy
_____________________
Choose TWO
Answers
Answer:
It is CHEMICAL TO MECHANICAL because gas is a chemical which is transferred to mechanical technologies
Answer:
The first one is ^^
The SECOND one is chemical energy to thermal energy
You're welcome for getting wrong so that you can now get it right :|
What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6
Answers
The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?
This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.
In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.
Using the formula c = λf, we can solve for the wavelength of light:
λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m
Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:
n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167
Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
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a cargo ship travels from the atlantic ocean (salt water) to lake ontario (freshwater) via the st. lawrence river. the ship rides several centimeters lower in the water in lake ontario than it did in the ocean. explain.
Answers
The reason why the cargo ship rides several centimeters lower in the water in Lake Ontario than it did in the Atlantic Ocean is because of the difference in water density.
The Atlantic Ocean is saltwater, which is denser than freshwater, which is found in Lake Ontario. When the ship enters Lake Ontario via the St. Lawrence River, the less dense freshwater displaces some of the denser saltwater, causing the ship to ride lower in the water.
This phenomenon is known as buoyancy and is the result of the Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by that object.
Thus, the reason why the cargo ship rides several centimeters lower in the water in Lake Ontario than it did in the Atlantic Ocean is because of the difference in water density.
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A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12.0 m?
a. 1.3 m/s2
b. 2.5 m/s2
c. 3.0 m/s2
d. 7.5 m/s2
Answers
The magnitude of the boat’s acceleration while it travels 12.0 m is b. 2.5 \(ms^{-2}\)
u= 9.5 \(ms^{-1}\)
v= 5.5 \(ms^{-1}\)
s= 12 m
From the given data we can use,
\(v^{2} -u^{2} =2as\)
to calculate acceleration.
\(v^{2} -u^{2} =2as\),
Where,
v is the final velocity,
u is the initial velocity,
a is the acceleration and
s is the distance covered.
Substituting the values we have,
\(v^{2} -u^{2}\)= 2×a×s
\((5.5)^{2}\) - \((9.5)^{2}\)= 2 ×a×12
a= \(\frac{(5.5)^{2} -(9.5)^{2}}{(2)(12)}\)
a= \(\frac{(30.25)^{2} -(90.25)^{2}}{(24)}\)
a=\(\frac{-60}{2000}\)
a=-2.5 \(ms^{-1}\)
(The negative sign says that it is a negative acceleration )
Therefore the magnitude of the boat's acceleration is -2.5 \(ms^{-1}\)
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Jibari walks 40. 0 meters east in 120. 0 seconds. He then walks 30. 0 meters west in 60. 0 seconds. What is his average velocity for the trip??
Answers
Answer:
0.389 meters per second
Explanation:
1. Get your knowns
a. 40 meters per 120 seconds
b. 30 meters per 60 seconds
2. Add
Total distance = 40 meters + 30 meters = 70 meters
Total time = 120 seconds + 60 seconds = 180 seconds
3. Divide
Average velocity = 70 meters / 180 seconds
= 7 meters / 18 seconds
= 0.388... meters per second
Why does the quantity of the water in a beaker not matter but the quantity in a polystyrene cup does?
(PLS HELP ILL MARK U BRAINLIEST)
Answers
The quantity of water in a beaker or a polystyrene cup does matter, but the reason why it matters is different for each container.
Why does the quantity of water for each container matter?In a beaker, the quantity of water does not affect the temperature of the water significantly because glass is a good conductor of heat, meaning that the heat from the water is evenly distributed throughout the beaker. As a result, the temperature of the water remains relatively stable regardless of the quantity of water in the beaker.
On the other hand, in a polystyrene cup, the quantity of water does matter because polystyrene is a poor conductor of heat, meaning that the heat from the water is not evenly distributed throughout the cup. If there is a small quantity of water in the cup, the heat from the water is concentrated in a small area, causing the temperature to increase rapidly.
This can cause the cup to melt or deform. If there is a large quantity of water in the cup, the heat is distributed over a larger area, reducing the temperature increase.
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planet x has a mass of m and a radius of r. planet y has a mass of 3m and a radius of 3r. identical satellites orbit both planets at a distance r above their surfaces, as shown above. the planets are separated by such a large distance that the gravitational forces between them are negligible. question how does the gravitational field gx at the surface of planet x compare with the gravitational field gy at the surface of planet y?
Answers
The gravitational field on planet y is one-third that on planet x.
What is a gravitational field?A gravitational field is athe rgion around a mass where the effect of its gravitational force is felt.
How to find how the gravitational field gx at the surface of planet x compare with the gravitational field gy at the surface of planet y?Since planet x has a mass of m and a radius of r. planet y has a mass of 3m and a radius of 3r. identical satellites orbit both planets at a distance r above their surfaces. To find how their gravitational fields compare, we find the magnitude of their gravitational acceleration g
The gravitational acceleration is given by g = GM/R² where
G = universal gravitational constant, M = mass of planet and R = radius of planetFor planet x, we have that
M = m and R = rSo, substituting the values of the variables into the equation, its gravitational acceleration is gx = GM/R²
gx = Gm/r²
For planet y, we have that
M = 3m and R = 3rSo, substituting the values of the variables into the equation, its gravitational acceleration is g = GM/R²
= G(3m)/(3r)²
= 3Gm/9r²
= Gm/3r²
Since gx = Gm/r², we have that
gy = Gm/3r²
= (Gm/r²)/3
= gx/3
So, the gravitational field on planet y is one-third that on planet x.
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what happens to the current through bulb b if the switch s is opened? 1. it remains the same. 2. it increases. correct 3. it decreases. 4. not enough information is given.
Answers
When switch S is closed, the circuit is complete, and current flows from the battery through the switch, bulb A, bulb B, and back to the battery. So, the correct answer is : 3.
Both bulbs receive the same current because they are connected in series. However, when the switch S is opened, the circuit is no longer complete, and the current stops flowing through the circuit. This is because the circuit will become incomplete, and no current will flow through the circuit. As a result, the bulb will not receive any electric charge, and its brightness will decrease. As a result, the bulb B receives no current and its brightness decreases to zero. Therefore, the correct answer is 3.
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WORTH 100 POINTS!!
33. The Sky Trek Tower is a large circular ride that ascends, turning as it does to afford riders a panoramic
view of the park.
a. If it turns exactly one revolution every 43.7 seconds, what is the angular velocity of the ride?
b. What is the centripetal acceleration of a rider located 2.35 meters from the axis of rotation (center)?
c. If the rider has a mass of 67.0 kg, what is the centripetal force exerted on him or her?
d. If the cabin speeds up as it is lifted, how does the tension in the lifting cable (force in the lifting cable)
compare to the weight of the cabin? Justify your answer.
e. What is happening to the gravitational potential energy of the cabin and its occupants as is ascends?
f. On its way back down, the cabin moves so that it occupants feel almost weightless for a brief moment. Is
the cabin speeding up or slowing down at this point? Justify your answer.
g. Draw a picture of the path traced out by a rider on the ride as it descends. Remember, the cabin is rotating
at the same time.
Answers
The angular velocity of the ride, is 3.64 x 10⁻³rad/s.
The centripetal acceleration of the rider is 31.3 x 10⁻⁶rad/s².
The centripetal force exerted on the rider is 2.1 x 10⁻³N.
a) Number of revolutions, n = 1
Time taken for this revolution, t = 43.7 s
Therefore, the angular velocity of the ride,
ω = n/2πt
ω = 1/(2 x 3.14 x 43.7)
ω = 3.64 x 10⁻³rad/s
b) The expression for the centripetal acceleration of the rider is given by,
a' = rω²
a' = 2.35 x (3.64 x 10⁻³)²
a' = 2.35 x 13.3 x 10⁻⁶
a' = 31.3 x 10⁻⁶rad/s²
c) Mass of the rider, m = 67 kg
So,
The centripetal force exerted on the rider is,
F' = ma'
F' = 67 x 31.3 x 10⁻⁶
F' = 2.1 x 10⁻³N
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The student applies a force of 40 N to 20 kg box Assume there is negligible friction between the box and the floor. Calculate the magnitude of the box’s acceleration.
Answers
Answer:
cant be calculated since there is no direction and magnitude needs direction
Explanation: