Answer:
Isolate spill or leak area for at least 100 meters (330 feet) in all directions. See Table 1 - . If tank, rail car or tank truck is involved in a fire, ISOLATE for 1600 meters (1 mile) in all directions; also, consider initial evacuation for 1600 meters (1 mile) in all directions.
pls show working out as well. will mark u as brainliest
(ii) The distance covered by the antelope after 17 s
v = v₀ + a • t
25 = 0 + 2a
a = 12.5 m/s²
S = ½ • a • t² + v • t
S = ½(12.5)(2)² + 25(14.5)
S = 387.5 m
(iii) How far the cheetah and the antelope after 17 s
v = v₀ + a • t
29 = 0 + 2a
a = 14.5 m/s²
Sc = ½ • a • t² + v • t
Sc = ½(14.5)(2)² + (29)(15)
Sc = 464 m
Total distance between antelope and cheetah after 17s
∆S = S - Sc + 100
∆S = 387.5 - 464 + 100
∆S = 23.5 m
What is used in a torch?
a. Dry cell
b. Secondary cell
c. Generator
d. Fuse
Answer:a.Dry cell
Explanation: A dry cell is a type of electric battery, commonly used for portable electrical devices like a flashlight
Answer:a.Dry cell
Explanation:
A baseball player hits a baseball , changing its momentum by 15 kg* m s The net force on the ball is 7,100 N. How long does the bat maintain contact with the ball?
Answer:0.0021 seconds
Explanation:
Fnet= delta p/ delta t
Delta T= Delta p/ Fnet
15kgms/7100N
=0.00211s
a communications satellite is orbiting earth. how can the orbital radius of the satellite be increased
To increase the orbital radius of a communications satellite orbiting Earth, there are several methods that can be employed like Adjusting the satellite's velocity, Utilizing gravitational assists, Performing a Hohmann transfer, Utilizing atmospheric drag.
1. Adjusting the satellite's velocity: By increasing the satellite's velocity, it can move to a higher orbit. This can be achieved by firing the satellite's thrusters to provide an additional boost of speed. As a result, the satellite will move to a higher orbit, increasing its orbital radius.
2. Utilizing gravitational assists: A communications satellite can take advantage of gravitational assists from celestial bodies like the Moon or other planets. By carefully planning the satellite's trajectory, it can use the gravitational pull of these bodies to increase its orbital radius. This technique is commonly employed in interplanetary missions.
3. Performing a Hohmann transfer: This technique involves a series of orbital maneuvers to transition the satellite to a higher orbit. The satellite first increases its velocity to move into an elliptical transfer orbit, then performs a second burn at the apogee of this orbit to raise its orbit further. This method is commonly used to transfer satellites between different orbits.
4. Utilizing atmospheric drag: Although it is not a practical method for communications satellites in higher orbits, atmospheric drag can be used to increase the orbital radius of satellites in lower orbits. By increasing the surface area of the satellite or deploying drag-inducing devices, the satellite experiences increased drag, which gradually decreases its orbital altitude and increases its orbital radius.
These are some of the methods that can be employed to increase the orbital radius of a communications satellite orbiting Earth. Each method has its own advantages and constraints, and the specific technique chosen depends on the satellite's mission requirements and available resources.
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40 POINTSS. Now explore friction force. Set the piece of plastic or wood on the table and push it steadily across the tabletop using your fingertip. Note how much opposition to your push you feel. Repeat the steps, but this time push the piece of plastic or wood across a rug, carpet, or piece of fabric. If you’re using fabric, be sure to secure the fabric so it doesn’t move. How does the opposition to motion on the tabletop compare with that of the rug, carpet, or fabric? WILL MARK BRAINLIST IF RIGHT
Answer: If there is a higher friction, the opposition force is higher so that it can reduce our speed. So, a factor that affects friction is the roughness or smoothness of the surface of the object. In comparison of the table with the fabric, the fabric will have a more opposition force. As the surface of the fabric is usually rougher than the surface of a smooth table. As there is more friction on a fabric, we will feel more opposition force on our finger tip.
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
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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A 5 kg object is moving downward at a velocity of 12 m/s and is
currently 2.6 meters above the ground.
calculate its kinetic energy
calculate its potential energy
calculate its mechanical energy
Answer:
the first one i think
Explanation:
how much do clouds weigh
The weight of a cloud can vary widely depending on its size, height, and the amount of moisture it contains, so there isn't a fixed weight for all clouds.
Clouds consist of water droplets or ice crystals that are suspended in the air, so they don't have a specific weight that can be measured. However, the amount of water vapor contained in a cloud can be estimated, and this can be converted to a weight using the density of water. On average, a cumulus cloud weighing about 1 million pounds contains around 100 tons of water.
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what happens to the incidence of change blindness when a cue is added to the scene that indicates which part of the scene has changed? a. it increases. b. it decreases. c. it remains unchanged. d. it can increase or decrease, depending on the cue duration.
When a cue is added to a scene to indicate which part of the scene has changed, it can affect the incidence of change blindness. In general, the addition of a cue can decrease the incidence of change blindness, as it allows viewers to more easily identify the changes in the scene.
For example, a brief cue, such as a flash of light, can be effective in decreasing the incidence of change blindness. However, if the cue is too long or too complex, it can actually increase the incidence of change blindness, as the viewer may become distracted by the cue itself.
Therefore, the effect of adding a cue on the incidence of change blindness can vary depending on the duration and complexity of the cue.
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a weightless spring scale is attached to two equal weights as shown below. the reading on the scale will be
When a weightless spring scale is attached to two equal weights, the reading on the scale will be zero. This is because the weights on both sides are balanced, resulting in no net force acting on the scale.
The reason for this is Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, when one weight exerts a downward force on the spring scale, the other weight exerts an upward force of the same magnitude on the scale.
These opposing forces cancel each other out, resulting in a net force of zero. As a result, the spring scale does not experience any deformation and the reading remains at zero.
It is important to note that this only applies when the two weights are equal. If the weights were different, there would be an imbalance in the forces, causing the spring scale to register a non-zero reading.
In summary, when a weightless spring scale is attached to two equal weights, the reading on the scale will be zero due to the balanced forces acting on it.
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Suppose you have a 105-kg wooden crate resting on a wood floor. The coefficients of static and kinetic friction here are
f
s
= 0.5 and
f
k
= 0.3. m = 105 kg
(A) What maximum force, in newtons, can you exert horizontally on the crate without moving it?
(B) If you continue to exert this force once the crate starts to slip, what will its acceleration be, in meters per square second?
The maximum force, in newtons, can you exert horizontally on the crate without moving it is 515.025 N. If you continue to exert this force once the crate starts to slip, its acceleration will be, in 1.962 meters per square second.
(A) To find the maximum force without moving the crate, we can use the formula for static friction: \(f_{static} = f_s * N\), where \(f_s\) is the coefficient of static friction and N is the normal force. In this case, N = m * g (mass times gravity), so N = 105 kg * 9.81 \(m/s^2\) = 1030.05 N. Therefore, the maximum force is \(f_{static\) = 0.5 * 1030.05 N = 515.025 N.
(B) Once the crate starts to slip, we can use the formula for kinetic friction: \(f_{kinetic\) = \(f_k * N\), where \(f_k\) is the coefficient of kinetic friction. In this case, \(f_{kinetic\) = 0.3 * 1030.05 N = 309.015 N. To find the acceleration, use Newton's second law: F = m * a. Rearrange to find a: a = F / m. The net force is the applied force minus the kinetic friction, so a = (515.025 N - 309.015 N) / 105 kg = \(1.962 m/s^2.\)
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A) The maximum force that can be exerted horizontally on the crate without moving it is 514.53 N
B) Once the crate starts to slip, its acceleration will be 1.05 m/s².
(A) The maximum force that can be exerted horizontally on the crate without moving it can be found using the equation:
Fs = μsN, where Fs is the force of static friction, μs is the coefficient of static friction, and N is the normal force.
N = mg, where m is the mass of the crate and g is the acceleration due to gravity.
Substituting the given values, we get:
N = (105 kg)(9.81 m/s²) = 1029.05 NFs = (0.5)(1029.05 N) = 514.53 NTherefore, the maximum force that can be exerted horizontally on the crate without moving it is 514.53 N.
(B) Once the crate starts to slip, the force of friction changes to the force of kinetic friction, which is given by:
Fx = μkN, where Fx is the force of kinetic friction and μk is the coefficient of kinetic friction.
Substituting the given values, we get:
Fx = (0.3)(1029.05 N) = 308.71 NThe net force acting on the crate is given by the difference between the applied force and the force of friction:
Fnet = Fa - Fxwhere Fa is the applied force.
The acceleration of the crate can be found using the equation:
Fnet = ma, where a is the acceleration.Substituting the values, we get:
Fa - Fx = maa = (Fa - Fx)/mSubstituting the maximum force that can be exerted without moving the crate, we get:
a = (514.53 N - 308.71 N)/(105 kg) = 1.05 m/²Therefore, once the crate starts to slip, its acceleration will be 1.05 m/s².
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What is the acceleration of a 8 kg mass that is
pushed with a force of 24 N?
OPTIONS:
A)192 m/s²
B)192 kg
C)3 m/s²
D)0.33 kg
The acceleration of a 8kg mass that is pushed with a force of 24 N is 3m/s² (option C).
How to calculate acceleration?Acceleration of a body refers to the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
Acceleration of a body can be calculated using the following expression:
Force = mass × acceleration
According to this question, a 8kg mass is pushed with a force of 24 N. The acceleration is calculated thus;
acceleration = 24N ÷ 8kg = 3m/s²
Therefore, 3m/s² is the acceleration of the body.
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The acceleration of the object with 24 N force ana a mass of 8 kg is 3 m/s².
option C.
What is the acceleration of the object?The acceleration of the object is determined by applying Newton's second law of motion as shown below.
F = ma
where;
m is the mass of the objecta is the acceleration of the objectThe acceleration of the object with 24 N force ana a mass of 8 kg is calculated as follows;
a = F / m
a = ( 24 N ) / ( 8 kg )
a = 3 m/s²
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a vector has an x component of -309m and a y component of 187m find the direction of the vector
The direction of the vector is approximately 330.06 degrees.
To find the direction of a vector given its components, we can use trigonometry. The direction of a vector is typically represented by an angle measured counterclockwise from the positive x-axis.
Let's denote the x-component as x = -309 m and the y-component as y = 187 m. To find the direction, we can calculate the tangent of the angle using the formula:
θ = arctan(y/x)
Substituting the given values, we have:
θ = arctan(187/-309)
Using a scientific calculator or trigonometric tables, we find that the arctan of this ratio is approximately -30.06 degrees.
Since the direction is measured counterclockwise from the positive x-axis, we can express the direction as 360 degrees minus the calculated angle. In this case, the direction is approximately 330.06 degrees.
Therefore, the direction of the vector is approximately 330.06 degrees.
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A wooden beam is 6.50 m long and weighs 325 N. It rests on two supports that are 3.00 m apart. Jane weighs 575 N. She stands on the beam in the center and then walks toward one end. How close to the end can she come before the beam begins to tip?
Suki can go 0.854 meters to the end before the beam starts to tilt.
Beam length: L = 6.5 m
Beam weight: W b = 336 N
Suki's weight is W s = 590 N.
Suki stands in the middle of the steel beam and moves toward the end. Since the beam is supported by two posts that are spaced three meters apart, the distance she may go before the beam starts to lean is determined by how far she moves from the left support.
Thus;
according to formula
Wb × (3/2) = (Ws × x)
where:
Wb= Beam weight
Ws= Suki's weight
Adding the necessary values results in;
336 × 1.5 = 590 × x
x = (336 × 1.5)/590
x = 0.854 m
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Can someone write 2-3 sentences about waves. (Transversal waves, Wavelength, Longitudinal waves.)
The answers include the following below:
Transversal waves - This is the type of wave whose oscillations are perpendicular to the direction of the wave's advance.Wavelength - This is the distance between corresponding points of two consecutive waves.Longitudinal waves - This is the type of wave in which the vibration of the particles takes place in the same direction as that of the wave.What is a Wave?This is referred to as the propagation of disturbances from place to place in a regular and organized way and there are different types of waves.
An example is the longitudinal wave which has the vibration of the particles takes place in the same direction as that of the wave.
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your planet has now been moved farther away, to 1.35 au (as opposed to 0.2 au before). how do these angles change?
The angles of your planet's orbit will decrease since the planet is now farther away from the sun.
What is angles?Angles are formed when two straight lines meet or intersect. They can be measured in degrees, radians, or gradians. Angles are used to describe a variety of shapes such as polygons, circles, and arcs. Angles can also be used to measure the angle of inclination of an object or surface. In geometry, angles can be classified as acute, right, obtuse, reflex, or straight. Angles can be used to determine the area of a triangle or a polygon. Angles can be used to determine the direction of a vector as well. In trigonometry, angles are very important and are used to solve various equations.
This means that the angle between the planet's position in its orbit and its starting point will be smaller. This is because the planet's angular velocity is a function of its distance from the sun. The farther away the planet is, the slower its angular velocity will be, and the smaller the angle of its orbit will be.
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Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A is stationary and Observer B is moving.
Observer A is stationary and Observer B is moving.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are stationary but at different distances from the vibrating object.
We want to explain why two different observes may measure different frequencies for the same vibrating object.
We will see that the two correct options are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.Let's assume that the vibrating object is a guitar string. Thus, the string makes a noise, and from that noise, we can estimate the frequency at which the string vibrates.
Now there appears a really cool effect, called the Doppler Effect. It says that the apparent change of frequency is due to the motion of the observer or the source of the frequency (or both).
For example, if you move towards the vibrating string, the perceived frequency will be larger, and you will hear a "higher" sound.
While if you move away from the string, the opposite happens, and you will hear a "lower" sound.
Then the only thing that impacts in how we perceive the frequency is our velocity relative to the source.
So, why do observers A and B measure different frequencies?
The two correct answers are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.If you want to learn more, you can read:
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Your Answers for Redshift and Blueshift Quick Check are down here ↓
Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A is stationary and Observer B is moving. * A = yes
Observer A and Observer B are moving at different speeds relative to each other. * B = yes
Observer A and Observer B are stationary but at different distances from the vibrating object. No
Observer A and Observer B are both stationary and at the same distance from the object. No
Why do scientists observe blueshift in certain stars?(1 point)
Light wave frequencies increase as an object moves toward the observer. * A = yes
Stars with lower temperatures emit more light waves at the blue end of the spectrum. No
Light wave frequencies decrease as an object moves toward the observer. No
Stars with higher temperatures emit more light waves at the blue end of the spectrum. No
When will a scientist observe redshift in the spectrum of a distant space object?(1 point)
when the object is stationary. No
when the object is moving toward the scientis. No
when the object is moving away from the scientist * C = yes
when the object is in the same frame of reference as the scientist. No
Hope this helps :) . Your Welcome, and Hope you guys are doing good in school!!
a wheel at rest gains an angular momentum of 10.7kgm²/s in 8s. if the moment if inertia of the wheel is 2.2kgm², how many revolutions will be made before the wheel attains an angular velocity of 30rad/s
Answer:
Revolutions made before attaining angular velocity of 30 rad/s:
θ = 3.92 revolutions
Explanation:
Given that:
L(final) = 10.7 kgm²/s
L(initial) = 0
time = 8s
Find Torque:Torque is the rate of change of angular momentum:
\(T = \frac{L(final)-L(initial)}{t}\\T = \frac{10.7-0}{8}\\T=1.34 Nm\)
Find Angular Acceleration:We know that
T = Iα
α = T/I
where I = moment of inertia = 2.2kgm²
α = 1.34/2.2
α = 0.61 rad/s²
Find Time 't'
We know that angular equation of motion is:
ω²(final) = ω²(initial) +2αθ
(30 rad/s)² = 0 + 2(0.61 rad/s²)θ
θ = (30 rad/s)²/ 2(0.61 rad/s²)
θ = 24.6 radians
Convert it into revolutions:
θ = 24.6/ 2π
θ = 3.92 revolutions
Two forces of 60N and 50N are acting at an angle of 30° to one another. (a) Determine the magnitude of the resultant force and the angle it makes with the larger force. (b) What is the equilirant vector for this situation?
(a) The magnitude of the resultant force is approximately 74.1N, and it makes an angle of approximately 35.5° with the larger force.
(b) The equivalent vector for this situation is a vector that has the same magnitude and direction as the original vector but is located at a different point in space.
What are the values for the magnitude, angle and equilirant vector of the resultant force?When two forces act at an angle to each other, we can determine the magnitude and direction of their resultant force using vector addition. In this case, we have two forces: 60N and 50N, making an angle of 30° between them.
To find the magnitude of the resultant force, we use the law of cosines. The formula is given by:
Resultant force magnitude = √(60^2 + 50^2 - 2 * 60 * 50 * cos(30°))
= √(3600 + 2500 - 6000 * 0.866)
≈ √(6100 - 5196)
≈ √904
≈ 30.1N
To determine the angle the resultant force makes with the larger force, we can use the law of sines. The formula is given by:
sin(θ) / 60N = sin(150°) / 30.1N
sin(θ) = (60N * sin(150°)) / 30.1N
θ ≈ arcsin(2 * sin(150°))
θ ≈ arcsin(2 * 0.5)
θ ≈ arcsin(1)
θ ≈ 90°
Therefore, the magnitude of the resultant force is approximately 30.1N, and it makes an angle of approximately 90° with the larger force.
To understand the equivalent vector, let's consider an example. Suppose we have a vector that represents the displacement from point A to point B. This vector has a specific magnitude and direction.
Now, if we want to represent the same displacement from a different starting point, say point C, we can calculate the equivalent vector by considering the difference in position between the two starting points.
By subtracting the coordinates of point C from point A, we obtain a displacement vector that represents the translation from point C to point B. This displacement vector has the same length and direction as the original vector, but it is located at a different position.
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how can the doppler method be used to estimate the average orbital distance of a planet's orbit? question 29 options: a) by measuring the asymmetries in the velocity curve b) by measuring the amount by which the starlight is reduced when the planet transits c) by measuring the time it takes for the star's line-of-sight velocity to cycle from peak to peak, and using newton's version of kepler's third law d) by measuring the speed at which the star orbits the mutual center-of-mass of the star and planet, and using newton's theory of gravity
The Doppler method can be used to estimate the average orbital distance of a planet's orbit by measuring the time it takes for the star's line-of-sight velocity to cycle from peak to peak, and using Newton's version of Kepler's third law. Option c) is correct .
If a planet orbits a star, both of them revolve around their mutual center-of-mass. This center-of-mass is very close to the star's center since stars are much more massive than planets. As a result, if the star and planet orbit each other, they appear to move in small circles or ellipses around a fixed point.In the Doppler method, astronomers observe the motion of a star, which can reveal the presence of an exoplanet.
When a planet orbits a star, the star moves slightly as a result of the gravitational tug of the planet. This motion causes the star's spectrum to shift slightly towards longer wavelengths (redshift) and shorter wavelengths (blueshift) as the star moves away from and towards us respectively. The size of this shift depends on the mass of the planet and its orbital distance from the star.
By measuring the size of these shifts, astronomers can infer the presence of an exoplanet and estimate its mass and orbital distance. Hence option c) Is correct ,
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Adam is driving his truck at 18 m/s for a distance of 46 m, how much time was Adam driving?
Answer:
2.6 seconds
Explanation:
You have to divide the distance by the velocity to find the time:
46/18 = 2.55 ≈ 2.6 seconds
The answer you are looking for is approximately 2.6 seconds.
Solution/Explanation:
To get the correct answer, you must divide the distance and velocity.
This means that 46÷18=2.5556.
2.5556≈2.6.
So, therefore, the final answer is approximately 2.6 seconds.
I hope that this has helped you. Enjoy your day, and take care.
Calculate the mass (in kg) of 54.3 m³ of granite. The density of granite is 2700 kg/m³. (Remember: density = mass / volume)
To determine the mass of granite, we must first understand the definition of density. Density is defined as the amount of matter present in a substance per unit volume.
We use the formula: density = mass/volume to calculate the mass of a substance given its density and volume. To calculate the mass of 54.3 m³ of granite, we use the following steps:
Given Density of granite = 2700 kg/m³Given volume of granite = 54.3 m³Let us substitute the values in the formula of density:density = mass/volume Solving for mass, we get:mass = density × volume Substitute the given values of density and volume into the formula:mass = 2700 kg/m³ × 54.3 m³
The m³ unit in the volume cancels out, leaving us with kg as the unit for mass.
We then solve the equation to get the mass:mass = 146,610 kg
Therefore, the mass of 54.3 m³ of granite is 146,610 kg.
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find the power series representation of f(x)=2/x centered at x=9.
The power series representation of f(x) = 2/x centered at x = 9.
To find the power series representation of the function f(x) = 2/x centered at x = 9, we can use the concept of the Maclaurin series. The Maclaurin series is a special case of the Taylor series, where the series is centered at x = 0. However, since we want to center the series at x = 9, we can use a transformation to shift the center.
Let's start by expressing the function f(x) = 2/x as a power series:
f(x) = 2/x = 2 * (1/x)
Now, we know that the power series representation of 1/x centered at x = 0 is:
1/x = 1 / (9 + (x - 9))
Using the geometric series formula, we can rewrite this as:
1/x = 1/9 * (1 / (1 - (-(x - 9) / 9)))
Expanding the geometric series:
1/x = 1/9 * (1 + (-(x - 9) / 9) + (-(x - 9) / 9)^2 + (-(x - 9) / 9)^3 + ...)
Simplifying the terms:
1/x = 1/9 * (1 - (x - 9)/9 + (x - 9)^2/81 - (x - 9)^3/729 + ...)
Now, we can multiply this series by 2 to obtain the power series representation of f(x) = 2/x centered at x = 9:
f(x) = 2/x = 2 * (1/9 * (1 - (x - 9)/9 + (x - 9)^2/81 - (x - 9)^3/729 + ...))
Simplifying further:
f(x) = 2/9 * (1 - (x - 9)/9 + (x - 9)^2/81 - (x - 9)^3/729 + ...)
This is the power series representation of f(x) = 2/x centered at x = 9.
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If I shoot a bird at 34 below Sea Level, and the bird is at 83 above sea level, what would happen if it missed the bird?
Answer:If you were to shoot a bird at 34 meters below sea level, and the bird is at 83 meters above sea level, the bullet would miss the bird. The bullet would likely continue to travel in the direction it was fired until it reaches the surface of the sea or until it hits an obstacle.
Explanation:
Since the bird is at a much higher elevation than the shooter, the bullet would not be able to reach it.
It's worth noting that shooting a bird in most places is illegal, and it's also important to consider the moral and ethical implications of harming or killing wild animals. It's always best to observe and appreciate nature from a safe distance.
a device that produces a magnetic field by wrapping wire into a coil is a______
A device that produces a magnetic field by wrapping wire into a coil is an electromagnet. It is a magnet in which the magnetic field is generated by an electric current.
An electromagnet is a type of magnet in which a magnetic field is generated by an electric current. Electromagnets are usually made of wire wound into a coil. The current flowing through the wire creates a magnetic field which is concentrated in a hole in the center of the coil. When the current is switched off, the magnetic field disappears. Wire coils are usually wrapped around a core made of a ferromagnetic or ferrimagnetic material such as iron; the core concentrates the magnetic flux and is a stronger magnet. The biggest advantage of electromagnets over permanent magnets is that the magnetic field can be changed quickly by controlling the amount of current in the windings. Unlike permanent magnets, which do not require a power source, electromagnets require a constant supply of electric current to maintain a magnetic field.
Electromagnets are widely used as components of other electrical equipment such as electric motors, generators, electromechanical solenoids, relays, speakers, hard drives, MRI machines, scientific instruments, and magnetic separation equipment . Electromagnets are also used in industry to lift and move heavy ferrous objects such as scrap metal and steel.
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What is the difference between a low tide and a high tide
Answer:
High water level during a tide is called High tide.
Low water level during a tide is called Low tide.
Calculate the potential energy of a rock with a mass of 55 kg as it sits on a cliff that is 27 m high
Answer:
The potential energy is zero since the rock isn't moving.
Difference between upthrust force and normal reaction force.
Answer:
Explanation:
Both are contact forces arising at the interface between two bodies. In the fluid this interface might be irregular, and it completely surrounds a submerged object. For a solid it is usually a single flat surface - but it can be a collection of surfaces, which do not need to be flat or regular, and which can surround the object
Upthrust occurs at a fluid-solid interface whereas normal reaction occurs at a solid-solid surface. However, it is possible to generate the same fluid-like phenomenon of upthrust by immersing a solid object in sand or small beads and agitating them to simulate the pressure of atoms. With
how do scientists think our sun was created, or born?
Answer:
The Sun formed about 4.6 billion years ago in a giant, spinning cloud of gas and dust called the solar nebula. As the nebula collapsed under its own gravity, it spun faster and flattened into a disk.Oct 15, 2021
Explanation:
Here is the website:
In Depth | Sun - NASA Solar System Exploration
https://solarsystem.nasa.gov
strain will only occur in a member that has a force applied to it.
Yes, strain will only occur in a member that has a force applied to it.
Strain is a measure of the deformation or elongation experienced by a material when subjected to an external force. When a force is applied to a member, it induces stress within the material, which results in strain. The strain experienced by a member is directly related to the magnitude of the applied force and the material's properties.
In the absence of any external force, a member remains in its original state without undergoing any deformation or strain. It is only when a force is applied that the material experiences stress, causing it to deform and exhibit strain. The magnitude of the strain depends on the material's elasticity, which determines how much it can deform under the influence of the applied force.
The relationship between stress and strain is governed by the material's mechanical properties, such as its Young's modulus and Poisson's ratio. These properties describe how the material responds to external forces and provide insights into its deformation behavior.In summary, strain occurs in a member when a force is applied to it, causing the material to deform and experience changes in its dimensions. Without the presence of an applied force, the member remains in its original state without exhibiting strain.
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