The magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².
The given parameters;
mass of the asteroid = 100 kgforce by first astronaut = 35 N, at 45 degrees below x -axisforce by second astronaut = 35 N, at 45 degrees above x-axisforce by third astronaut = 35 N, at 0 degrees on x-axisThe resultant horizontal force applied by the three astronauts on the asteroid is calculated as;
Fₓ = 35cos(45) + 35cos(45) + 35cos(0)
Fₓ = 84.5 N
The rate at which the asteroid's velocity changes is calculated as;
\(F = ma = m\frac{\Delta v}{\Delta t} \\\\\frac{\Delta v}{\Delta t} = \frac{F}{m} \\\\\frac{\Delta v}{\Delta t} = \frac{84.5}{100} \\\\\frac{\Delta v}{\Delta t} = 0.845 \ m/s^2\)
Thus, the magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².
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how long did it take the flag to rotate once in a full circle
Answer:
360 degrees is one full rotation starting at zero
it take 2 s to the flag to rotate once in a full circle with 3 rad/s of angular velocity.
What is Angular velocity and acceleration ?Angular velocity is "rate of change of angular displacement with respect to time". i.e. ω= dθ/dt. it is also defined as angular displacement over time. i.e. ω = angular displacement/Time.
Angular velocity shows how much angle can be covered in unit time. It's SI unit rad/s.
Angular acceleration is rate of change of Angular velocity with respect to time.
i.e. α = dω/dt if an object changes its angular velocity in short time, we can say that it has greater angular acceleration. It is expressed in rad/s².
In this problem we have to calculate time, but the angular velocity id not given.
Consider the angular velocity is 3 rad/s.
Given,
Angular displacement θ = 2π
angular velocity ω = 3 rad/s
Time t = ?
Time = θ/ω
Time = 2π/3 rad/s = 2 s
Hence the answer is 2s.
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Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Answer:
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
Explanation:
Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Given data
A = 15 m
B = 25 m
Angle between the vectors A and B is θ = 30°
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
what is the result of a mirror image of a sound signal combining with the sound itself? a. The sound is reversed in time when added to its mirror image.
b. The phase of the sound is changed when added to its mirror image.
c. The sound is cancelled when added to its mirror image.
d. The sound is amplified when added to its mirror image.
The result of a mirror image of a sound signal combining with the sound itself is that the sound is cancelled when added to its mirror image. This is known as destructive interference.
When two sound waves of the same frequency and amplitude meet and are in phase (i.e. the peaks and troughs of the waves align), they will add together and produce a wave with twice the amplitude. This is known as constructive interference.
However, when the two waves are out of phase (i.e. the peaks of one wave align with the troughs of the other wave), they will cancel each other out and produce no sound. This is known as destructive interference.
When a sound signal combines with its mirror image, the resulting waveforms will be out of phase, leading to destructive interference and cancellation of the sound.
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What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.
When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.
The correct answer to the given question is option C.
Potential energy is the energy stored within an object because of its position or configuration.
In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.
As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.
Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.
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a train sounds its horn as it approaches an intersection. the horn can just be heard at a level of 48 db by an observer 10 km away.
A teach sounds its horn as it techniques an intersection. the horn can simply be heard at a stage of 48 dB through an observer 10 km away: A. P= 315.667W, B. β=one hundred.37dβ.
Factor of intersection manner the factor at which traces intersect. these strains are represented through the usage of the equation a1x + b1y + c1= zero and a2x + b2y + c2 = 0, respectively. Given discern illustrate the thing of the intersection of lines. we can discover the factor of the intersection of three or extra traces additionally.
Calculation:-
Tajenotay of pom Ward
B= 1 15 |S)= + => sixty four> 10 Jen [ ee wie]
L> Ts 2-542x% 10° wim?
power generated by using horn
tos Pa RS> > Pz Tan?
—+P= 2-512 106 Wim? x47 [ 104 m)2
= slaB= tp dey zat)
Gg= 24S: COW
Jog AR (forty eight m)*
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A small part of a current loop consisting of a very, very large triangular conductor in the x-y plane is shown below, with the current i=39.30 A.
12 10 4 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 x (cm)
Calculate the magnitude of the B-field at point 'p'.
Answer: hello your question is poorly written attached below is the well written question
answer: 4.9 * 10^-5 T
Explanation:
Current ( i ) = 39.30 A
Determine the magnitude of the B-field at Point P
Mag of B-field at Point P = μo*I / 2π*r --- ( 1 )
where : I = 39.30 , μo = 4π * 10^-7 , r = 8*10^(-2)
Input values into equation 1
( 10^-7 * 39.30 ) / ( 8*10^-2 )
∴ Mag of B-field = 4.9 * 10^-5 T
The bob (weight) at the end of a pendulum has a mass of 0. 3 kilograms. The bob is pulled to position B and allowed to swing. It goes all the way to position C and swings back.
The potential energy of the bob at position B is
joules. If the maximum height of the bob is 0. 45 meters when it swings back,
joules of energy was transformed to thermal energy
The bob's potential energy is 0.44 joules at position B. Due to friction and air resistance, 0.44 joules of the bob's potential energy are converted into thermal energy when it swings back to its highest point.
A pendulum starts to swing back and forth when the bob at the end is moved to position B and released. The bob has potential energy in position B because it is higher than position A, where it is at its lowest point. Potential energy (PE) is calculated using the equation PE = mgh, where m is the bob's mass, g is the acceleration brought on by gravity, and h is the height of the bob above its lowest point. The potential energy of the bob at position B is 0.44 joules when the above values are substituted. Friction and air resistance that the bob encounters during its back and forth motion cause part of its energy to be transformed into heat energy.
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A motorboat sets out for open sea. From home it travels 5 km due East, then heads [N35E] at 2 m/s for 90 minutes. After a break, it travels South for 6.5 km. The captain is lost at sea. Where is the boat relative to home?
The distance of the motorboat relative to the home, which travels in various directions, is 3.07 km.
What is relative velocity?Relative velocity is a velocity of an object which is in respect to another observer, or it is a ratio of change in the position of a point to time with respect to another observer.
Given: Travel in East direction (\(d_{E}\))= 5 km,
velocity in N35E(v) = 2 m / s, time taken(t) = 90 min = 5400 seconds,
Displacement in south (\(D_S}\)) = 6.5 km
Firstly, find the displacement in N35E so
Displacement = Velocity × time,
\(d_{NE}\) = 2 × 5400 = 10800 meters or 10.8 km
Now by using Pythagoras' theorem
We can calculate the return displacement in the south direction(\(d_{S}\)),
\(d_{S}\) = \(\sqrt{d^{2} _{NE}- d^{2} _{E } }\)
\(d_{S}\) = \(\sqrt{10.8^{2}-5^{2} }\)
\(d_{S}\) = 9.57 km
Therefore, the distance of the boat from the home (D) = \(d_S}\) - \(D_S}\)
D = 9.57 - 6.5;
D = 3.07 Km
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Which of the following scientists proposed the theories of relativity?
A. Galileo Galilei
B. Johannes Kepler
C. Albert Einstein
D. Sir Isaac Newton
Answer:
c) Albert Einstein,
Explanation:
in his theory of special relativity, determined that the laws of physics are the same for all non-accelerating observers, and he showed that the speed of light within a vacuum is the same no matter the speed at which an observer travels.
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-lvr
Phosphorus pentachloride, a white solid that has a pungent, unpleasant odor, is used as a catalyst for certain organic reactions. calculate the number of moles in 38.7 g of phosphorus pentachloride.
The number of moles in 38.7 g of phosphorus pentachloride is approximately 0.1857 mol.
Phosphorus pentachloride (\(PCl_5\)) is a white solid that is commonly used as a catalyst in certain organic reactions. To calculate the number of moles in 38.7 g of phosphorus pentachloride, we can use the formula:
Number of moles = Mass / Molar mass
The molar mass of phosphorus pentachloride can be calculated by adding up the atomic masses of its constituent elements. Phosphorus (P) has an atomic mass of 31.0 g/mol, and chlorine (Cl) has an atomic mass of 35.5 g/mol. Since there are five chlorine atoms in phosphorus pentachloride, we multiply the atomic mass of chlorine by 5.
Molar mass of \(PCl_5\) = (31.0 g/mol) + (35.5 g/mol x 5) = 208.5 g/mol
Now we can plug in the values into the formula:
Number of moles = 38.7 g / 208.5 g/mol
Calculating this, we find:
Number of moles ≈ 0.1857 mol
Therefore, there are approximately 0.1857 moles of phosphorus pentachloride in 38.7 g of the compound.
In summary:
- Phosphorus pentachloride (\(PCl_5\)) is a white solid used as a catalyst in organic reactions.
- To calculate the number of moles, we divide the mass of the compound (38.7 g) by its molar mass (208.5 g/mol).
- The molar mass is calculated by summing the atomic masses of phosphorus and chlorine.
- The number of moles in 38.7 g of phosphorus pentachloride is approximately 0.1857 mol.
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which types of change observe the law of conservation of mass? single answer
A. only changes of state
B. only physical changes
C. only chemical changes
D. physical changes and chemical changes
Answer:
d
Explanation:
d just because it is and it's talking about mass and physical match's up with mass
True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
Answer:
true
Explanation:
Answer:
true
Explanation:
Paano mo ito gagamutin o bibigyang lunas ang mga aksidente na maaaring mangyari habang ginagawa ang physical activity
The best treatment or relief for injuries sustained while participating in Physical activity is rest.
Rest after minor injuries are treated. For at least two days, refrain from activities that involve using the injured area.
Ice. Apply an ice pack to the harmed region for 20 minutes all at once, four to eight times each day.
Compression. Swelling may be reduced by maintaining pressure on the injured area.
Elevation.
Physical activity as any substantial development created by skeletal muscles that requires energy use. Active work alludes to all development including during recreation time, for transport to get to and from places, or as a component of an individual's work.
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Question:
How can accidents that may occur while engaging in physical activity be treated or alleviated?
If the ball has a positive electric charge, what should the charge of the coilgun be to push the ball away?
A)positive
B) negative
C)neutral
Answer:
A
Explanation:if the things have the same charge they will repel makeing the ball move away form its positively charged guy = that the coil gun works.
In processA 55J work done on the system an d85J of heat are added to the system. Find the change in the systems thermal energy
Change in thermal energy = Work done + Heat added
= 55 J + 85 J
= 140 J
So, the change in the thermal energy of the system is 140J.
What is the change in the thermal energy?The change in the thermal energy refers to the difference in the thermal energy of a system before and after a process or a change occurs. Thermal energy is a measure of the total internal energy of a system due to its temperature, and it includes the kinetic energy of the particles and their potential energy due to their interactions.
The change in thermal energy can be positive or negative, depending on whether heat is added to or removed from the system. If heat is added to the system, the thermal energy increases, and if heat is removed from the system, the thermal energy decreases.
The change in thermal energy is a fundamental concept in thermodynamics and plays a key role in understanding the behavior of physical systems and the transfer of energy between them.
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1. A woman shuts her summer cottage up in September and returns to June. No one has entered the cottage in the meantime
Explain what she is likely to find, in terms of the second law of thermodynamics.
The hot summer cottage she left in September will still be hot when she returns in June as long as no one enters it (Isolated).
What is second law of thermodynamics?The second law of thermodynamics states that, hot things always cool unless you do something to stop them. Or the total entropy of an isolated system can never decrease.
In other words, not all heat energy can be converted into work in a cyclic process.
Therefore, we can conclude that when the woman returns, the hot summer cottage she left in September will still be hot when she returns in June as long as no one enters it (Isolated).
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Henri becquerel shared a nobel prize for his work in discovering what?.
When electrons are moving freely between many positive ions, what type of bond is occuring?
a
metallic
b
ionic
c
covalent
d
crystalline
Answer:
a metallic
Explanation:
Metal atoms are joined together by metallic bonds. Metals can form cations (positive ions) with a sea of delocalized electrons.
based on the data collected and the hypothesis, what happens to the diffraction angle when the wavelength is increased?
The wavelength will be longer, increasing the diffraction angle.
Define the wavelength?The separation between two successive wave crests or troughs is known as a wavelength.
Here are some wavelength illustrations: Yellow Light, for instance. All visible light has a wavelength between 400 and 700 nanometers (nm).
Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns.
The symbol for the wavelength in the SI is often the letter m. Additionally, multiples or fractions of a metre are employed when calculating wavelength. The use of exponential powers of 10 is noteworthy when wavelengths are a significant feature.
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Answer:
Simple Response: The diffraction angle of the waves is approximately equal to the wavelength divided by the gap width. Therefore, increasing the wavelength will increase the diffraction angle.
Explanation:
Laura is riding her bike at a speed of 15 m/s when she spots a dog in his path. If she needs to come to a full stop in 3 seconds what must her deceleration be?
The deceleration of Laura is obtained as - 5m/s^2.
What is the deceleration?We know that the deceleration would have to be the rate of the decrease in the speed of the object with time. We would use the formula for the acceleration to be able to obtain the deceleration of the object as follows;
a = v - u/t
a = deceleration
v = final velocity
u = initial velocity
t = time taken
Then;
a = 0 - 15/3
a = - 5m/s^2
Thus she would have a deceleration of - 5m/s^2 from the calculation that we have done above.
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According to the conservation of momentum, if a small football player collides with a much larger football player, which of the following statements will be true? a The larger football player will move, but because of his larger mass, his velocity will be much slower than the smaller player b The smaller football player will be stopped completely, his mass being not enough to move the larger one c The larger football player will have to start moving towards the smaller one as it collides if there is to be any effect d The smaller football player will experience a larger force than the larger football player
Answer:
a The larger football player will move, but because of his larger mass, his velocity will be much slower than the smaller player
Explanation:
When the collision takes two equal and opposite forces are created at the point of collision . The force created on the bigger mass will force it to accelerate and the force on moving smaller mass will force it to slow down .
Because of bigger mass , acceleration on bigger mass will be less and hence its velocity will be less .
Hence option a is the right answer.
A plate moves 200 m in 10,000 years. What is its rat in cm/year
Answer:
2cm/year
Explanation:
20000/10000=2cm/year
Why do intermolecular forces exist between water molecules?
A. The molecules contain oxygen.
B. The molecules are electrically neutral.
C. The molecules have charged regions.
D. The molecules are composed of atoms.
Answer:
C. The molecules have charged regions
Explanation:
The reason for the existence of intermolecular force between the water molecules is option C. The molecules have charged regions.
Information regarding the water molecules:The intermolecular forces should be existed between water molecules because it has the charged regions. Neither it contains the oxygen, nor electrically neutral. Also, not composed of atoms.
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HEY CAN ANYONE PLS ANSWER DIS IN YOUR OWN WORDS!!!
Answer:
11. A small number of alpha particles being deflected at large angles suggested that there is a concentration of positive charge in the atom
12. describes properties of the atom
13. 1913
14. quantum state with all observable (atoms) independent of time.
15. the lowest energy state of an atom or other particle
Explanation:
HELP PLEASE. WILL GIVE BRAINLIEST!!!
Carlos made a study chart about changes to the environment that are caused by humans.
X
-Results from introducing harmful substances into the environment
-Causes an increase in ultraviolet radiation that reaches Earth
Y
-Results from the rising human population
-Causes the disappearance of many species in a short amount of time
Which headings best complete the chart?
A-X: Ozone Layer Destruction
Y: Mass Extinction
B-X: Long-Term Changes
Y: Short-Term Changes
C-X: Short-Term Changes
Y: Long-Term Changes
D-X: Mass Extinction
Y: Ozone Layer Destruction
Answer:
its A
Explanation:
Just took the exam
Answer:
a
Explanation:
An object of mass 140kg is placed on an Orange tree 10m above the ground. 1. Calculate the Potential energy with respect to the ground.
Potential Energy - (Measured in Joules) - Potential energy is the energy that is stored in an object due to its position relative to some zero position.
Mass - (Measured in Kilograms) - Mass is the amount of matter in a body, regardless of its volume or the forces acting on it.
Acceleration Due to Gravity - (Measured in Meter/Square Second) - Acceleration due to gravity is the acceleration gained by an object due to the gravitational force.
Height - (Measured in Meters) - Height is the distance between the lowest and highest points of a standing person/shape/object.
An object of mass 140 kg is placed on an Orange tree 10m above the ground. 1. Calculate the Potential energy with respect to the ground.Data:
m = 140 kg
h = 10 m
g = 9.8 m/s²
Ep = ?
The formula to calculate potential energy:
Ep = m * g * h
Ep = Potential energym = massh = heightg = gravityWe clear, but it is not necessary, since we want to calculate the potential energy.
Ep = m * g * h Ep = 140 kg * 9.8 m/s² * 10 m Ep = 13720 JThe reason why it is given in Joules is because N * m, are units of Joules, and N = Kg * m/s^2. It is the ratio of the Joules.
The potential energy of the body of mass m = 140 kilograms and located at height h = 10 meters is equal to 13720 Joules.
If the average distance of a planet from the Sun is 21 A.U, what is the time in years for ONE cycle?
Enter your answer with one decimal place for example: 34.7
Therefore, we cannot calculate the exact time for one cycle without more information.
The time for one cycle of a planet around the Sun is determined by its orbital period, which is related to the average distance of the planet from the Sun. In this case, if the average distance of the planet from the Sun is 21 astronomical units (A.U.), we can use Kepler's Third Law to calculate the orbital period.
Kepler's Third Law states that the square of the orbital period (T) is proportional to the cube of the average distance (r) between the planet and the Sun. Mathematically, it can be expressed as:
T^2 = k * r^3
Where k is a constant.
Given that the average distance is 21 A.U., we can set up the following equation:
T^2 = k * 21^3
To solve for T, we need the value of the constant k. However, without further information or additional equations, we cannot determine the specific value of k. Therefore, we cannot calculate the exact time for one cycle without more information.
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2. Which elements are present in Unknown Star B?
HELP MEEE PLEASEEEE!
Answer:
Explanation:
The spectrum of the planet clearly shows the presence of iron, hydrogen and sulfur.
The spectrum of the planet shows the presence of iron, hydrogen and sulfur.
What is spectrum ?A spectrum is a state that may fluctuate without gaps over a continuum and is not constrained to a particular set of values (plural: spectra or spectrums)[1]. After passing through a prism, visible light takes on a rainbow of colours, which is how the term was first used scientifically in optics. As knowledge of light increased on a scientific level, it started to encompass the entire electromagnetic spectrum. As a result, it evolved into a mapping of a variety of magnitudes (wavelengths) to a variety of attributes, including the perceived "colours of the rainbow" and other features that correspond to wavelengths outside of the visible light spectrum.
Today, analogies with spectrum are used to discuss subjects unrelated to optics.
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1. A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N
opposing the motion. Calculate the acceleration of the object.
The acceleration of the block is 6.4 m/s².
To calculate the acceleration of the block, we need to consider the forces acting on it.
The applied force is 40 N, and since it is the only horizontal force in the direction of motion, it is the net force acting on the block.
The frictional force opposing the motion is 8 N.
The acceleration, we can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration (F = ma).
The net force is the difference between the applied force and the frictional force:
40 N - 8 N = 32 N.
Now, we can plug the values into Newton's second law:
32 N = 5 kg × a.
Solving for the acceleration (a), we get
a = 32 N / 5 kg
a = 6.4 m/s².
Therefore, the acceleration of the block is 6.4 m/s².
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a 210 g apple is falling from a tree what is the impulse that earth exerts on it during the first 0.50
The impulse that Earth exerts on a 210 g apple that is falling from a tree during the first 0.50 seconds can be calculated using the formula for impulse.
Impulse is defined as the change in momentum of an object, and is given by the equation:
J = Δp
where,
J is the impulse.
Δp is the change in momentum.
To calculate the impulse that Earth exerts on the apple, we need to know the initial momentum and the final momentum of the apple during the first 0.50 seconds.
Since the apple is falling freely, its initial momentum is zero (because it is at rest), and its final momentum can be calculated using the formula:
p = mv
where,
p is the momentum.
m is the mass.
v is the velocity.
Since the apple is falling freely, we can use the equation for free fall to find the velocity:
v = gt
where g is the acceleration due to gravity, and t is the time.
At the end of 0.50 seconds, the velocity of the apple can be calculated as: v = gt = (9.8 m/s²)(0.50 s) = 4.9 m/s.
Therefore, the final momentum of the apple can be calculated as:
p = mv = (0.210 kg)(4.9 m/s) = 1.029 kg m/s.
The change in momentum (Δp) during the first 0.50 seconds is simply the final momentum, since the initial momentum is zero.
Therefore, the impulse that Earth exerts on the apple during the first 0.50 seconds is given by:J = Δp = 1.029 kg m/s
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