A spring with a k value of 350 and a mass of 5 grams is compressed and released, converting all EPE into GPE. It rises up to a height of 4.37 meters before stopping, assuming no energy is lost to friction.
The potential energy stored in a spring is given by the formula:
\(EPE = 1/2 \times k \times x^2\)
where k is the spring constant and x is the displacement of the spring from its equilibrium position. In this case, the spring is compressed by 3.5 cm or 0.035 meters, so the potential energy stored in the spring is:
\(EPE = 1/2 \times 350 \times 0.035^2 = 0.214 J\)
When the spring is released, all of this potential energy is converted into gravitational potential energy (GPE) as the spring rises up in the air. The formula for GPE is:
\(GPE = m \times g \times h\)
where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the starting position.
Substituting the values given in the problem, we get:
\(0.214 J = 0.005 \;kg \times 9.81 \;m/s^2 \times h\)
Solving for h, we get:
\(h = 0.214 J / (0.005 \;kg \times 9.81 \;m/s^2) = 4.37 m\)
Therefore, the spring will rise up to a height of 4.37 meters before coming to a stop, assuming no energy is lost to friction.
In summary, by using the formulas for potential energy and gravitational potential energy, we can calculate the height that a spring will reach when launched into the air.
We found that the spring with a k value of 350 and a mass of 5 grams, when compressed 3.5 cm and released, will rise up to a height of 4.37 meters if all EPE is converted into GPE and no energy is lost to friction.
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The graph below represents the * variation of position of a mass in a mass spring system with respect to time . The speed of the mass at t = 1 s is equal to :
Given data:
The given time is t=1 s.
From the graph following observation can be made,
The amplitude of the graph is A=10 cm=0.1 m.
The time period is t=1 s.
The angular velocity can be calculated as,
\(\begin{gathered} \omega=\frac{2\pi}{t} \\ \omega=\frac{2\pi}{1} \\ \omega=6.3\text{ rad/s} \end{gathered}\)The speed can be at t=1 s will be,
\(\begin{gathered} v=A\omega \\ v=(0.1)(6.3) \\ v=0.63\text{ m/s} \end{gathered}\)Thus, the spee
a ball is dropped from a height of 9ft. the elasticity of the ball is such that it always bounces upward one third the distance it has fallen. find the total distance the ball has traveled at the instant it hits the ground for the fifth time
A ball is dropped from a height of 9ft. The elasticity of the ball is such that it always bounces upward one third the distance it has fallen. The total distance the ball has traveled at the instant it hits the ground for the fifth time is 48 feet.
When the ball is dropped from a height of 9ft, it will first bounce back up to 6ft (one-third of the distance it has fallen). Then, it will fall back down to the ground, traveling a total distance of 9+6 = 15ft.
For the second bounce, the ball is dropped from a height of 6ft (the height of the first bounce), and it will bounce back up to 4ft (one-third of the distance it has fallen). So, the total distance traveled by the ball in the second bounce is 6+4 = 10ft.
Using the same process, we can find that the ball travels 6+4 = 10ft in the third bounce, 4+2.67 = 6.67ft in the fourth bounce, and 2.67+1.78 = 4.45ft in the fifth bounce.
Therefore, the total distance the ball has traveled at the instant it hits the ground for the fifth time is: 15+10+10+6.67+4.45 = 48ft.
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Scallops eject water from their shells to provide a orce. The graph shows a smoothed graph of actual data for the initial motion of a 25 g scallop speeding up to escape a predator. What is the magnitude of the net force needed to achieve this motion? How does this force compare to the 0.25 N weight of the scallop? v (m/s) 0.3 0.2 0.1 0.0 - 1 (s) 0.0 0.1 0.2 0.3 FIGURE P4.20
The net force required to achieve this motion is approximately 0.1675 N, which is much smaller than the weight of the scallop (0.25 N). This makes sense because the scallop is not moving against gravity, but rather against the resistance of the water as it ejects it from its shell.
We can use the formula F=ma, where F is the net force, m is the mass of the scallop, and a is the acceleration of the scallop. From the graph, we can estimate that the scallop reaches a speed of approximately 0.3 m/s after 0.25 seconds. The initial velocity is zero, so the change in velocity is 0.3 m/s.
Using the kinematic equation v = at, where t is the time it takes to reach a speed of 0.3 m/s, we get:
0.3 m/s = a(t)
t = 0.3/a
Substituting this value of t into the kinematic equation x = 0.5at², where x is the distance the scallop travels during the time t, we get:
0.1 m = 0.5a(0.3/a)²
a = 6.7 m/s²
Now we can calculate the net force:
F = ma = (0.025 kg)(6.7 m/s²)
= 0.1675 N
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Question 7 of 25Concave lenses havefocal lengths and always formimages.O A. negative; virtualO B. positive; virtualO C. positive; realO D. negative; realSUBMIT
Concavelenses have negative focal length and tlways form virtual images.
The focal length is negative as it lies on the left side of lenses.
a type of brute force attack where a malicious actor attempts the same password on many accounts before moving on to another one and repeating the process
The type of brute force attack you are referring to is known as a "credential stuffing attack." In this attack, a malicious actor uses a list of known usernames and passwords (often obtained from previous data breaches) and tries them on multiple accounts, hoping that some of them will work.
This attack can be especially dangerous as many people use the same username and password for multiple accounts, making it easier for the attacker to gain access to multiple systems. To protect against credential stuffing attacks, it is important to use unique and complex passwords for each account and enable multi-factor authentication where possible. Additionally, website owners should monitor for unusual login activity and implement rate-limiting measures to prevent multiple login attempts in a short period of time. With these precautions, the likelihood of a successful credential stuffing attack can be greatly reduced.
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a system contains a two-phase liquid-vapor mixture at equilibrium. what does it mean to say that the pressure and temperature are not independently variable for this system?
A system containing a two-phase liquid-vapor mixture at equilibrium means that the pressure and temperature are not independently variable for this system because they are dependent on each other. This means that if one of these variables changes, the other will also change in response.
When a two-phase liquid-vapor mixture is present in a system, it signifies that the pressure and temperature are dependent on one another and cannot be changed separately. As a result, if one of these variables changes, the other will follow suit.
For example, if the pressure is increased, the temperature will also increase, and vice versa. This is because the pressure and temperature are related through the vapor-liquid equilibrium curve, which describes the relationship between these two variables for a given substance at a given state.
Therefore, the pressure and temperature cannot be independently varied for a system containing a two-phase liquid-vapor mixture at equilibrium.
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Hurry!!!! Through which substance would sound travel the fastest? A:steel B:Water C:Air
D:Coffee
Sound travels the fastest through steel. So, option (A) is correct,
What are the effects of medium in speeds of sound ?Depending on the medium that it is moving through, sound has a wide range of speeds. The stiffness of the medium (or compressibility in the case of gases) and its density work together to define the speed of sound in that medium. The speed of sound increases with the rigidity (or lack of compressibility) of the medium. The speed of sound decreases with increasing medium density.
Due to air's ability to be compressed, the speed of sound in air is low. The speed of sound is often higher in liquids and solids than in gases because they are more rigid and difficult to compress than gases. Given that temperature impacts density, the speed of sound is somewhat correlated with the temperature of the material it is travelling through, particularly for gases.
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The smallest size conductor permitted by the NEC for branch circuits, feeders or services is _____ copper or _____ aluminum.
The smallest size conductor permitted by the NEC (National Electrical Code) for branch circuits, feeders, or services is 14 AWG copper or 12 AWG aluminium.
The smallest size conductor permitted by the NEC (National Electrical Code) for branch circuits, feeders, or services depends on the load that the conductor is expected to carry, as well as the material and type of insulation used in the conductor.
However, in general, for copper conductors, the minimum size permitted for branch circuits, feeders, or services is typically 14 AWG (American Wire Gauge), while for aluminum conductors, the minimum size is typically 12 AWG. It's important to note that these are minimum sizes, and the appropriate conductor size should be determined based on the specific application and load requirements, as specified by the NEC.
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How many seven-digit telephone numbers are there if the first digit cannot be zero or one?
There are 8,000,000 possible seven-digit telephone numbers that satisfy the given condition. Hence, there are 8,000,000 possible seven-digit telephone numbers in which the first digit is not zero or one.
There are 8 options for the first digit of a seven-digit telephone number (2-9). For each of these options, there are 10 choices for each of the remaining six digits (0-9). Therefore, the total number of seven-digit telephone numbers is:
8 × 10 × 10 * 10 × 10 × 10 × 10 = 8 × 10⁶ = 8,000,000
There are 8 million possible seven-digit telephone numbers if the first digit cannot be zero or one.
To arrive at this answer, we first determine the number of choices for each digit. Since the first digit cannot be zero or one, we have 8 options (2-9). For the remaining six digits, we have 10 choices each (0-9).
We then multiply these choices together to find the total number of combinations. Each digit choice is independent of the others, so we can multiply the number of choices for each digit.
Therefore, there are 8,000,000 possible seven-digit telephone numbers that satisfy the given condition.
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The Pressure in a liquid acts in ________ direction. The pressure _________ as you go deeper because the ______ of the water above you gets _______. The difference in pressure in pressure explains why there is a force called ______ on a floating object.
all directions
increases
more
uptrust
Latrice is helping build birdhouses in an effort to attract more purple martins to her area. Building purple martin birdhouses has been shown to increase the size of populations of this bird, which have declined in recent years. What limiting factor must her area have that decreases purple martin populations?
The availability of suitable nesting sites is one of the most important limiting factors for the purple martin bird population. Building more birdhouses can help address this limiting factor and increase the size of the purple martin population in the area.
There are several limiting factors that can decrease purple martin populations, but one of the most important is the availability of suitable nesting sites. Purple martins are cavity-nesting birds, which means they require hollow spaces, such as tree cavities or specially designed birdhouses, to build their nests and raise their young. In areas where suitable nesting sites are scarce, the population of purple martins may be limited by the number of available nesting sites.
Therefore, by building more birdhouses, Latrice is addressing this limiting factor and helping to increase the size of the purple martin population in her area. Other limiting factors for purple martins may include the availability of food, the quality of habitat, and the presence of predators.
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The chart shows the speeds at which four objects are launched into the air. A 2 column table with 4 rows. The first column is labeled Object with entries W, X, Y, Z. The second column is labeled Speed (meters per second) with entries 6799, 3562, 8105, 9324. Based only on the information in the chart, which objects will most likely go into orbit around Earth? W and Y X and Y Y and Z W and Z
The objects with a speed higher v = 7668 m/s than that number are likely to go into orbit. (Y & Z)
What is orbital velocity?The orbital speed of an astronomical body or object (e.g. planet, moon, artificial satellite, spacecraft, or star) is the speed at which it orbits around either the barycenter or if one object is much more massive than the other bodies in the system, its speed relative to the centre of mass of the most massive body.
The term can be used to refer to either the mean orbital speed, i.e. the average speed over an entire orbit, or its instantaneous speed at a particular point in its orbit.
Maximum (instantaneous) orbital speed occurs at periapsis (perigee, perihelion, etc.), while minimum speed for objects in closed orbits occurs at apoapsis (apogee, aphelion, etc.).
In ideal two-body systems, objects in open orbits continue to slow down forever as their distance to the barycenter increases.
g = v^2 / r
so v = square root ( r x g )
v = 7668 m/s will be the minimum speed needed to go into orbit.
Based on that, objects with a speed higher than that number are likely to go into orbit. (Y & Z)
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a 0.52 kg football is thrown with a velocity of 15 m/s to the right. A stationary receiver catches the ball and brings it to rear in 0.017s. What is the force exerted on the receiver?
On the receiver, a force of 375 Newton was applied.
What does one newton weigh?
In the walking (English, or customary) system, one newton is equivalent to around 0.2248 pounds of force or 100,000 dynes in the centimeter-gram-second (CGS) system.
What is a force unit of newton?
The newton, abbreviated N, is the Si derived unit of force. Base units that are pertinent to force are: The symbol for the length unit of a metre is m. the kilogramme (kg), a unit of mass. s stands for the second, a unit of time.
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TRUE/FALSE. the total weight of a multistage rocket greatly reduces as the rocket lands
FALSE. The total weight of a multistage rocket does not greatly reduce as the rocket lands.
Determine the total weight?Multistage rockets are designed to shed weight as they ascend into space, not as they land. A multistage rocket consists of multiple stages stacked on top of each other, with each stage having its own engines and fuel supply.
Typically, the lower stages are jettisoned once their fuel is depleted, reducing the weight of the rocket as it ascends.
However, during the landing phase, the rocket needs to decelerate and land safely. This requires additional fuel and systems, such as landing legs or thrusters, to control the descent. These components add weight to the rocket during the landing phase.
Therefore, (False) the total weight of a multistage rocket does not greatly reduce as the rocket lands. It is essential to have sufficient fuel reserves and structural integrity to ensure a controlled landing and ensure the safety of the mission.
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explain the difference between the three types of friction
Answer:
Static Friction
It is the friction that exists between a stationary object and the surface on which it's resting.
Sliding friction
It is the resistance created by two objects sliding against each other.
Rolling friction:-
It is the force resisting the motion when a body rolls on a surface.
Can an average person hear this 1.13×10−8 Watt, 150 Hz sound at 3 m away?
No, an average person cannot hear a 1.13×10−8 Watt, 150 Hz sound at 3 m away. This is because the sound's intensity level is less than the threshold of hearing for an average person.
Here's the main answer and explanation for the same: The threshold of hearing is defined as the minimum sound intensity level that an average person can hear at a certain frequency. This value varies with frequency and is given by I = 10−12 W/m².The intensity level of the given sound is given by the equation IL = 10log10(I/I₀),where I₀ = 10−12 W/m² is the reference intensity level.
At 150 Hz and 3 m, the sound intensity is given by I = P/4πr² = 1.13×10−8/4π(3)² = 3.16×10−10 W/m²The intensity level is then given byI L = 10log10(I/I₀) = 10log10(3.16×10−10/10−12) = 73.5 dB Since the intensity level of the sound is less than the threshold of hearing (around 100 dB at 150 Hz), an average person cannot hear it at 3 m away.
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according to hubble's law, the larger galaxy's redshift, the greater its _____.
According to Hubble's law, the larger a galaxy's redshift, the greater its recessional velocity or apparent recession speed.
Hubble's law describes the relationship between the distance to a galaxy and its redshift, which is a measure of the shift of light towards longer wavelengths due to the expansion of the universe. The law is based on the observation that galaxies in the universe are generally moving away from us, and their motion can be quantified by their redshift.
Hubble's law is expressed by the equation v = H₀d, where v is the recessional velocity of a galaxy, H₀ is the Hubble constant (representing the current rate of expansion of the universe), and d is the distance to the galaxy. This equation implies that galaxies that are farther away from us have a higher recessional velocity, and therefore, a larger redshift.
The redshift of a galaxy is directly related to the stretching of light waves as the universe expands. As the space between the observer (us) and the galaxy expands, it causes the wavelength of light emitted by the galaxy to stretch, resulting in a redshift. This stretching of light waves is similar to the Doppler effect, where the motion of a source of waves causes a shift in the wavelength of those waves.
The Doppler effect is commonly observed in sound waves, where the pitch of a sound appears higher when the source is moving towards the observer and lower when the source is moving away. In the case of light, the wavelength of the light is shifted towards longer (red) wavelengths when the source is moving away from the observer and towards shorter (blue) wavelengths when the source is moving towards the observer.
Therefore, when a galaxy's redshift is larger, it means that the galaxy is moving away from us at a higher velocity. This relationship between redshift and recessional velocity is a fundamental principle of Hubble's law. By measuring the redshift of distant galaxies, astronomers can estimate their recessional velocities, and consequently, their distances from us.
It is important to note that Hubble's law describes the average relationship between redshift and distance for galaxies on large scales. However, deviations from this relationship can occur due to factors such as peculiar motions of galaxies or gravitational interactions. Nonetheless, Hubble's law provides a valuable tool for understanding the expansion of the universe and estimating the distances to galaxies based on their redshifts.
In summary, according to Hubble's law, the larger a galaxy's redshift, the greater its recessional velocity or apparent recession speed. The redshift of a galaxy is caused by the stretching of light waves as the universe expands, and it provides a measure of the galaxy's motion away from us. By studying the redshifts of galaxies, astronomers can gain insights into the large-scale structure and dynamics of the universe.
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The specific type of particle that has 1.14 ke V of kinetic energy when moving with a speed of 2.0 x 107m/s. A. electron B. proton C. alpha particle D. neutron
An electron with a kinetic energy of 1.14 keV and a speed of 2.0 x 107m/s matches the properties given in the question. The correct Option is A.
The specific type of particle in question has a kinetic energy of 1.14 keV and a speed of 2.0 x 107m/s. By comparing these values to the known properties of different particles, we can determine that the particle in question is an electron. Electrons are lightweight particles with a negative charge and are commonly found in atoms. They can be accelerated to high speeds and are used in many applications, including in medical devices like X-ray machines and in electron microscopes.
In conclusion, the specific type of particle with 1.14 keV of kinetic energy and a speed of 2.0 x 107m/s is an electron.
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A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy what is the mass?
A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy, and the mass of the car is 1.6 kg.
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object to accelerate it. We must put in the effort to apply force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
What does "constant speed" refer to?Definition: When an object is moving at a constant speed—that is, its speed does not change—we say it is moving at a constant speed. steady rate
Given:
KE = 500 J
v = 25 m/s
The formula for Kinetic Energy is given:
KE = ½ mv²
where: KE - Kinetic Energy
m - mass
v - velocity
Substituting the value of KE and v in the formula,
500 J = (½)(m)(25 m/s)²
m = (500 J)(2)/(25 m/s)²
m = 1.6 kg
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Two people, Micah and Lyra, with different near points are equally close to an object. Both inspect the object through the same magnifier by holding the lens close to the eye. Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye. Micah will experience a larger magnification for which of the following reasons?
When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra.
Micah sees a larger image than Lyra sees.
Micah can see the image clearly from a larger distance than Lyra can.
Lyra can see the image clearly from a larger distance than Micah can.
The angular size of the image relative to the angular size of the object at the near point is greater for Micah than for Lyra.
Micah will experience a larger magnification is because the angular size of the object is smaller for Micah than for Lyra.
Why angular size of the object is smaller for Micah than for Lyra?
The magnification produced by a magnifier is given by the formula:
M = (25cm/f) + 1, where f is the focal length of the magnifier.
The magnification is larger when the focal length is smaller. However, in this case, both Micah and Lyra are using the same magnifier, so the focal length is the same for both of them.
The near point is the closest distance at which an object can be brought into focus by the eye. The near point varies from person to person, and it depends on the elasticity of the lens and the shape of the eye. In this case, Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye. This means that Micah's eye has less ability to focus on close objects than Lyra's eye.
When an object is located at the near point, the image formed on the retina is at its maximum size.
The angular size of the object is given by the formula:
θ = tan⁻¹ (s/d), where s is the size of the object and d is the distance between the object and the eye.
Since Micah's near point is farther away than Lyra's near point, the distance d is larger for Micah. This means that the angular size of the object is smaller for Micah than for Lyra.
When Micah uses the magnifier to inspect the object, the magnification will be larger because the angular size of the object is smaller.
This is because the magnification is proportional to the ratio of the angular size of the image to the angular size of the object.
Since the angular size of the object is smaller for Micah, the angular size of the image produced by the magnifier will be larger, resulting in a larger magnification for Micah.
Therefore, the correct reason why Micah will experience a larger magnification is because the angular size of the object is smaller for Micah than for Lyra when the object is located at his near point.
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When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra, for which reason Micah will experience a larger magnification.
The statement that is correct for the given question is "When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra."
Micah and Lyra are two people with different near points but are equally close to an object.
Both inspect the object through the same magnifier by holding the lens close to the eye. In this context, magnification is the ratio of the size of the image seen through the magnifier to the size of the object when viewed directly.
The distance between the object and the lens must be greater than the focal length of the lens to create a virtual image. Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye.
So, Micah will experience a larger magnification for the reason that when the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra.
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The potential energy of an apple is 6.0 Joules. The apple is 1.22m high. What is the mass of the apple?
Answer:
The mass of the apple is 0.49kg
Explanation:
Potential energy=mgh
P=mgh
6=m×1.22×10
6=12.2m
divide both sides by 12.2
m=6/12.2
m=0.49kg
A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?(1 point)
Responses
58.1 J
58.1 J
56.1 J
56.1 J
55.8 J
55.8 J
58.4 J
If A force of 57.1 N is applied for 0.977 meters then work is done on the object is 55.8J .
What is displacement?Displacement is defined as the shortest distance travelled by the object.
Displacement is defined to be the change in position of an object.
it has both magnitude and direction. it is a vector quantity.
What is force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force (N).
mathematically, F=ma
where, F = force
m = mass and a = acceleration
Given,
force Applied is 57.1N .
displacement is 0.977 m.
According to the formula of work done,
work = force × displacement
Work = 57.1N×0.977m
Work = 55.78J
work = 55.8J
Hence, if A force of 57.1 N is applied for 0.977 meters then work is done on the object is 55.8J .
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Answer:
55.8 J
Explanation:
Which two phrases describe a situation that will cause a stationary object to
start moving?
A. A net force equal to 0
B. A net force greater than 0
C. Unbalanced forces
D. Balanced forces
(two phrases)
Answer:
A net force greater than 0 is the answer
Explanation:
trust
Answer:
b c
Explanation:
PLS FAST WILL GIVE BRAINLIEST Examine the two isotopes.
oxygen-16
oxygen-17
In regards to subatomic particles, how are these two isotopes the same, and how are they different?
Answer:
both of those numbers have 8 protons
Explanation:
What is a magnet similar to? Why?
-please answer :/
Answer:
Magnetized objects always have both a north and a south pole, never just one or the other. Similar to electric charges, opposite poles attract, and like poles repel. The stronger the magnets and the closer together they are, the stronger the magnetic force between them.
Explanation:
(Source: Go ogle)
Answer: Magnetism is a force that acts at a distance and is caused by a magnetic field. The magnetic force strongly attracts an opposite pole of another magnet and repels a like pole. The magnetic field is both similar and different than an electric field. hope this helps can u give me brainliest
Explanation:
Use trigonometry to find the missing values of the sides of the triangles below.
Explanation:
tan ● = opposite / adjacent
tan 31.5 = 19 / F
0.613 = 19 / F
0.613F = 19
F = 31
sin ● = opposite / hypotenuse
sin 31.5 = 19 / a
0.52 = 19 / a
0.52a = 19
a = 36. 36
Using trigonometry, the base of the triangle is approximately 33.476, and the hypotenuse of the triangle is approximately 38.118.
To find the base and hypotenuse of a right triangle with one angle of 31.5 degrees and a given height of 19:
Here,
Opposite side = height = 19 (given)
Adjacent side = base (unknown)
Hypotenuse = hypotenuse (unknown)
First, let's find the base (adjacent side):
tan(θ) = opposite ÷ adjacent
tan(31.5 degrees) = 19/base
To find the base, we can rearrange the equation:
base = opposite ÷ tan(θ)
base = 19 ÷ tan(31.5 degrees)
Calculating the value:
base ≈ 33.476
So, the base of the triangle is approximately 33.476.
Now, using the Pythagorean theorem, we can write:
hypotenuse² = base² + opposite²
hypotenuse² = (33.476)² + 19²
hypotenuse ≈ 38.118
Therefore, the hypotenuse of the triangle is approximately 38.118.
Thus, base is 33.476, and hypotenuse is 38.118.
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water flows through a hose of diameter of 0.0028m and fills a 30l bucket in 2 minutes
What is the speed of the water leaving the end of the hose?
To find the speed of the water leaving the end of the hose, we can use the equation for the volume flow rate of a fluid.
The volume flow rate (Q) is given by the equation:
Q = A * v
where Q is the volume flow rate, A is the cross-sectional area of the hose, and v is the speed of the water.
Given:
Diameter of the hose (d) = 0.0028 m
Radius of the hose (r) = d/2 = 0.0028 m / 2 = 0.0014 m
Time taken to fill the bucket (t) = 2 minutes = 120 seconds
Volume of the bucket (V) = 30 liters = 30 kg (since 1 liter of water is approximately equal to 1 kg)
First, let's calculate the cross-sectional area of the hose:
A = π * r^2
Substituting the values:
A = π * (0.0014 m)^2
Next, let's calculate the volume flow rate using the equation:
Q = V / t
Substituting the values:
Q = 30 kg / 120 s
Now we can find the speed of the water leaving the end of the hose by rearranging the equation:
v = Q / A
Substituting the calculated values:
v = (30 kg / 120 s) / [π * (0.0014 m)^2]
Simplifying the expression:
v ≈ 4.31 m/s
Therefore, the speed of the water leaving the end of the hose is approximately 4.31 m/s.
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A 14 kg boulder is pushed off a cliff with velocity v = ( 14.0 m/s ) + ( 2.0m/s ) y . Will the object experience a larger vertical or horizontal acceleration?
The object will eventually experience a large vertical acceleration since the vertical velocity increases as the object moves downwards.
What is horizontal motion of a projectile?The horizontal motion of a projectile is the motion of the projectile along a horizontal path.
The horizontal distance of a projectile is not affected by gravity and hence the horizontal speed of a projectile remains constant. That is the initial horizontal velocity is equal to the final horizontal velocity of the projectile.
However, the during the vertical motion an object, the vertical velocity decreases as the object moves upwards and eventual becomes zero when the object reaches the maximum height.
As the object begins to move downwards the vertical velocity increase and eventually become maximum before the object hits the ground.
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If the aerial lift is short of the desired work height, it is permissible to ___ as long as you are tied off.
Aerial lifts are not permitted for any of the reasons listed below if they fall short of the required work height.
You are not allowed to stand on the middle safety rail, use a step as long as it is 6" or less, or use a 4' step ladder while you are tied off, regardless of how high the aerial lift is above the desired work height. Working from an aerial lift is not allowed while belting off to a nearby pole, building, or piece of machinery. Extensible boom platforms, aerial ladders, vertical towers, and other vehicle-mounted aerial devices are examples of aerial lifts that are used to elevate personnel to job sites above ground. Aerial equipment is defined as lifts whether or not they can rotate about a significantly vertical axis. It can be built of metal, wood, fiber glass reinforced plastic (FRP), or other materials. It can also be electrically or manually operated.
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Find the WRONG statement about th magnetic field The magnetic field can reverse polarity the magnetic field forms from electrical currents in the outer core the magnetic poles change position independently from each other The aurora (northem and southern lights) cause the magnetic field What can happen to a granite that undergoes weathering? Granite will break into smaller fragments that will be eventually transported and deposited Granite will develop foliation Granite won't weather because it is made of hard silicate minerals Granite will recrystallize You observe a rock made of fragments of rock and minerals of different sizes, mostly angular. You conclude that: All of these observations are correct The fragments that compose it were not transported very far from where they were eroded It is a sedimentary rock it is poorly sorted
The wrong statement is: "The aurora (northern and southern lights) cause the magnetic field."
The aurora (northern and southern lights) is a natural light display that occurs in the polar regions. It is caused by the interaction of charged particles from the Sun with the Earth's magnetic field. The aurora is a result of the magnetic field's influence on the charged particles, not the other way around. The magnetic field itself is generated by the movement of electrical currents in the outer core of the Earth. The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.
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