The magnitude of the centripetal acceleration of the stone during the circular motion is 220.7 m/s².
The magnitude of the centripetal acceleration of the stone during the circular motion can be calculated using the formula:
a = v²/r
Where a is the centripetal acceleration, v is the tangential velocity, and r is the radius of the circle.
To find the tangential velocity, we can use the formula:
v = d/t
Where d is the horizontal distance traveled by the stone after the string breaks, and t is the time it takes for the stone to hit the ground.
We can find the time t using the formula:
t = √(2h/g)
Where h is the height of the stone above the ground, and g is the acceleration due to gravity.
Plugging in the given values:
t = √(2(2)/9.8) = 0.64 s
Now we can find the tangential velocity:
v = 12/0.64 = 18.75 m/s
Finally, we can find the centripetal acceleration:
a = (18.75)²/1.6 = 220.7 m/s²
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How many seconds are in a day?
Answer:86,400
Explanation:
a solenoid is shown below. it has a length l, n loops, a cross-sectional area a, and a current i. when the length is doubled what will be the magnetic field?
If the length is doubled in a solenoid with n loops, a cross-sectional area a, and a current I, the magnetic field will half its initial value.
B = μo N I / L
B = Magnetic field
μo = Permeability constant
N = Number of turns
I = Current
L = Length of the coil
After the length of the coil is doubled,
L' = 2 L
B' = μo N I / L'
B' = μo N I / 2 L
B' = B / 2
If the length is doubled in a solenoid, its field will be half of its original value. A solenoid is a type of an electromagnet. It is formed by a helical coil of wire. The coil's diameter is less than its length. It generates a controlled magnetic field.
Therefore, when the length is doubled in a solenoid, its field will be half of its original value.
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Properties that can change
the chemical composition of
matter
Answer: chemical properties include those properties that are determined only by changing the molecular structure or chemical composition of any substance.
These include reactivity, flammability, corrosiveness, toxicity, acidity.
Reactivity is the tendency of matter to react with another substance.
multiple choice
15) A coiled spring used to help a door close has ________ ________energy when the door is open.
16) After braking, a bicycle's tires increase in temperature as friction causes some of the
mechanical energy to transfer to ________ energy.
According to conservation of energy, the energy of interacting bodies in a closed system remains constant. The total energy of an isolated system remains constant; it is said to be conserved over a period of time.
Elastic energy is the mechanical implicit energy stored in the configuration of a material or physical system as it's subjected to elastic distortion by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally misshaped in any manner.
The mechanical energy is never lost forever , rather it gets converted to thermal energy because of the friction .
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air near the equator averages higher temperatures than air near the poles because
Air near the equator averages higher temperatures than air near the poles because of the difference in solar radiation received at these regions.
Near the equator, the Sun's rays are more direct, leading to higher levels of solar radiation. This direct sunlight provides greater energy input, resulting in higher temperatures. In contrast, near the poles, the Sun's rays are more spread out and inclined, leading to lower levels of solar radiation. The oblique angle of sunlight reduces the intensity of the energy reaching the surface, resulting in lower temperatures. Furthermore, the equator receives more consistent and direct sunlight throughout the year due to the Earth's axial tilt. The poles experience more extreme variations in sunlight and undergo long periods of darkness during certain seasons. This variation in sunlight availability contributes to the temperature differences between the equator and the poles.Additionally, the distribution of land and water also plays a role in temperature variations. The presence of large water bodies near the equator helps regulate temperatures by absorbing and releasing heat, while landmasses at the poles have less moderating effect on temperatures.
Overall, the combination of direct sunlight, consistent solar radiation, and land-water
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what is the speed of a horse in meters per second that runs a distance of 1.2 miles in 2.4 minutes
Hold your index finger and middle fingers close to each other, leaving a small slit between them about 1 mm in width. Look through the slit into a source of light such as the window or lamp (NOT THE SUN). You will need to look with one eye up close to the slit. Why do the vertical black lines show up when your fingers are close together but not when they are far apart? Explain.
Answer:
I would say tunnel vision cause your only using one eye and if your looking through a tiny space your vision gets blury
Explanation:
What is the magnitude of force required to accelerate a car of mass
1.7 × 103 kilograms by 4.75 meters/second2?
Answer:
The answer is 8075 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 1.7 × 10³ kg = 1700 kg
acceleration = 4.75 m/s²
We have
force = 1700 × 4.75
We have the final answer as
8075 NHope this helps you
A driver is moving forward and stepping on the gas pedal. Which
position-time graph best depicts this motion?
Answer:
D
Explanation:
If the diameter of a helium atom is about 0.064 nm, how many helium atoms lined up side to side would span the diameter of a human hair, which is about 0.1 mm?
The amount of helium atoms lined up side to side that would span the diameter of a human hair is: 1.5625*10^6 atoms
To solve this problem the we have to do the conversion of units with the given information.
Information about the problem:
d(helium atom)= 0.064 nmd(human hair)= 0.1 mm amount of helium atoms lined up side to side = ?1 mm = 1*10^6 nmBy converting the units of the helium atom's diameter from nm to mm, we have:
d(helium atom)= 0.064 nm * 1 m/1*10^6 mm
d(helium atom)= 6.4*10^-8 mm
To know how many helium atoms lined up side to side would span the diameter of a human hair, we have to do a division as a following:
amount of helium atoms lined up side to side= d(human hair)/d(helium atom)
amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm
amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm
amount of helium atoms lined up side to side= 1.5625*10^6
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
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what does 3F means?
Please help me with this.....
Answer: Fitness, Fun & Friendship
Explanation:
what is the average kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°c
The average kinetic energy of a nitrogen molecule in the air at 17°C is very small, as expected, due to the relatively low temperature of the air
The average kinetic energy of a nitrogen molecule in the air in a room at 17°C can be calculated using the equation:
KE = (3/2) kT
where KE is the average kinetic energy, k is the Boltzmann constant (1.38 x 10⁻²³ J/K), and T is the temperature in Kelvin.
To convert 17°C to Kelvin, we add 273.15 to get 290.15K.
Plugging in the values, we get:
KE = (3/2) x (1.38 x 10⁻²³ J/K) x 290.15K
KE = 6.02 x 10⁻²¹J
Therefore, the average kinetic energy of a nitrogen molecule in the air in a room at 17°C is approximately 6.02 x 10⁻²¹J.
answer in 100 words: In order to determine the average kinetic energy of a nitrogen molecule in the air at 17°C, we can use the equation KE = (3/2) kT, where KE is the average kinetic energy, k is the Boltzmann constant, and T is the temperature in Kelvin. To convert the given temperature of 17°C to Kelvin, we add 273.15 to get 290.15K. By plugging in the values, we calculate that the average kinetic energy of a nitrogen molecule in the air at 17°C is approximately 6.02 x 10⁻²¹ J.
The average kinetic energy of a nitrogen molecule in the air at 17°C is very small, as expected, due to the relatively low temperature of the air. Nonetheless, this calculation provides valuable insight into the behavior of molecules in the air and can be used in further calculations and experiments.
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The average kinetic energy of a nitrogen molecule in the air in a room at 17°C is approximately 5.6 x 10^-21 joules.
To calculate the average kinetic energy of a nitrogen molecule in the air at a certain temperature, we can use the equation KEavg = (3/2)kT, where KEavg is the average kinetic energy, k is Boltzmann's constant (1.38 x 10^-23 joules per Kelvin), and T is the temperature in Kelvin.
To convert Celsius to Kelvin, we add 273.15 to the temperature. So for a room at 17°C, the temperature in Kelvin is 290.15K. Plugging this into the equation, we get KEavg = (3/2)(1.38 x 10^-23 joules per Kelvin)(290.15K) = 5.6 x 10^-21 joules. The main answer is the average kinetic energy of a nitrogen molecule in the air in a room at 17°C.
To calculate the average kinetic energy of a nitrogen molecule, we need to use the following formula: Average Kinetic Energy = (3/2) * k * T
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Where would a roller coaster have the greatest potential energy?
a. At the highest point of the track
b. At the bottom of a loop
c. On a straight section of the track
d. At the starting point
The roller coaster would have the greatest potential energy at the highest point of the track.
At the highest point of the track, the roller coaster has the maximum potential energy. Potential energy is the energy stored in an object based on its position relative to other objects. In this case, the roller coaster has the highest potential energy at the highest point because it is at its maximum height above the ground. As the roller coaster descends from this point, potential energy is converted into kinetic energy, which is the energy of motion. The potential energy decreases as the roller coaster moves downward, and it reaches its lowest point at the bottom of the track or during a loop. At these points, the roller coaster has the least potential energy and the highest kinetic energy. However, at the starting point, the roller coaster has relatively low potential energy compared to the highest point of the track, as it hasn't gained much height yet. Therefore, the highest point of the track is where the roller coaster would have the greatest potential energy.
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work out
A rectangular block of mass 20 kg lies with a side 0.2m by 500cm on a tab
What is the pressure exerted by its weight on the table?
Explanation:
force/area=pressure
force=10*mass
area=0.2*500
pressure=200/100=2
what is the ke of a 10kg mass at 1 m/s
The kinetic energy of a 10kg mass moving at 1 m/s is 5 joules.
The kinetic energy of an object is given by the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Substituting the given values, we get:
KE = (1/2) x 10kg x (1 m/s²) = 5 joules
The kinetic energy of a 10kg mass travelling at 1 m/s is therefore 5 joules. Kinetic energy is a scalar quantity and is a measure of the energy that an object possesses due to its motion. In this case, the mass has a small amount of kinetic energy because its velocity is relatively low. If the mass were to move at a higher velocity, its kinetic energy would increase proportionally to the square of its velocity.
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What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy
Answer:
translational energy
Explanation:
because is diatomic
Planet Z is 8000 km in diameter. The free-fall acceleration on Planet Z is 6.00 m /s2 You may want to review (Pages 342 343) Part A What is the mass of Planet Z? Express your answer to two significant figures and Include the appropriate unlts_ 1.4x1024 kg Submit Previous Answers Correct Here we learn how to find the planet's mass by using the free-fall acceleration on it Part B What is the free-fall acceleration 9000 km above Planet ZIs north pole? Express your answer to two significant figures and include the appropriate units_ E m 0.6 s2
The free-fall acceleration 9000 km above Planet Z's north pole is 0.60 m/s2, and Planet Z has a mass of 1.4 1024 kg.
Part A:The mass of Planet Z is calculated using the formula;
where M is the mass of the planet, r is the radius of the planet, and g is the free-fall acceleration on the planet.M = (g*r^2) / G, where G is the universal gravitational constant.
Substituting values;
M = (6.00 m/s²) * (4000,000 m)² / (6.67×10⁻¹¹ N(m/kg)²)M = 1.4×10²⁴ kg
Therefore, the mass of Planet Z is 1.4 × 10²⁴ kg.
Part A:
To find the mass of Planet Z, we can use the formula given below:
where M is the mass of the planet, r is the radius of the planet, and g is the free-fall acceleration on the planet.
We are given the radius of Planet Z, which is r = 8000 km = 8,000,000 m.
We are also given the free-fall acceleration on Planet Z, which is g = 6.00 m/s².Using these values, we can calculate the mass of Planet Z as:
M = (g * r²) / G, where G is the universal gravitational constant.
G = 6.67 × 10⁻¹¹ N(m/kg)²M = (6.00 m/s²) * (8,000,000 m)² / (6.67×10⁻¹¹ N(m/kg)²)M = 1.4×10²⁴ kg
Therefore, the mass of Planet Z is 1.4 × 10²⁴ kg.
Part B:
To find the free-fall acceleration 9000 km above Planet Z's north pole, we can use the formula for free-fall acceleration;
where r is the distance from the center of the planet and M is the mass of the planet.
a = (G*M) / (r + h)², where h is the height above the surface of the planet.
Substituting values;
where r = 8,000,000 m and h = 9,000,000 m, we get:a = (6.67×10⁻¹¹ N(m/kg)² * 1.4 × 10²⁴ kg) / (17,000,000 m)²a = 0.60 m/s²Therefore, the free-fall acceleration 9000 km above Planet Z's north pole is 0.60 m/s².
Part B:
To find the free-fall acceleration 9000 km above Planet Z's north pole, we can use the formula for free-fall acceleration;
a = (G*M) / (r + h)², where r is the distance from the center of the planet and M is the mass of the planet. The height above the surface of the planet is h.
We are given the distance from the center of Planet Z, which is r = 8,000,000 m.
We are also given the height above the surface of the planet, which is h = 9,000,000 m.
Using the values of r and h, we can calculate the free-fall acceleration above the surface of Planet Z as;
a = (G*M) / (r + h)², where G is the universal gravitational constant and M is the mass of Planet Z.
G = 6.67 × 10⁻¹¹ N(m/kg)²M = 1.4 × 10²⁴ kga = (6.67×10⁻¹¹ N(m/kg)² * 1.4 × 10²⁴ kg) / (17,000,000 m)²a = 0.60 m/s²
Therefore, the free-fall acceleration 9000 km above Planet Z's north pole is 0.60 m/s².
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whats the result of rounding 52.8015 into five significant figures
Answer:
52.802
Explanation:
"Significant figures" in Mathematics refer to the digits that give accuracy to the value of a measurement. There are specific rules when it comes to determining the significant figures. For example, all non-zero digits are considered significant and zeroes located in-between non-zero numbers are significant. In the number given above, the digit "0" is located between "8" and "1," therefore, it is significant. All the digits above are significant.
The problem is only asking for "five" significant figures. We can do this by counting from the left to the right. By this means, we know that the number will be rounded off to the nearest thousandths, which is "1." The number after 1 is 5, which means that 1 digit will be added to number 1, thus, making the digit into "2." The last digit (5) will then be removed.
Explanation:
five significant of 52.8015=52.801 ..
7. If the same pressure is exerted over a greater area will more of less force result?
less force
more force
the same amount of force
If the same pressure is exerted over a greater area, less force will result. Option A
This is because pressure is defined as force per unit area. If the area over which the pressure is exerted is increased, then the same amount of force is distributed over a larger area, resulting in a decrease in pressure.
This decrease in pressure results in a decrease in the force that is exerted.
A simple way to visualize this is to imagine pressing your hand against a wall. If you press with a small area, such as the tip of your finger, you will feel a greater force against your finger. However, if you press with the palm of your hand, which has a larger area, you will feel less force against your hand.
This principle is used in many everyday applications. For example, car tires are inflated to a certain pressure to distribute the weight of the car over a larger area, resulting in less force exerted on the road and better traction.
Similarly, snowshoes distribute the weight of a person over a larger area, allowing them to walk on top of deep snow without sinking in. So Option A is correct.
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As a red of recent weather activity, there’s less water available for human consumption. Which blome is affected by the most by this change?
Answer:
The freshwater biome will be most likely to be affected by the weather conditions as the freshwater reservoirs accumulates water from sources like rain, flood and melting of snow. The reservoirs form are groundwater, river, lakes, ponds and others. In the absence of rain the water will not be accumulated in the biome and will effect the life forms living there.
Explanation:
please answerrrr need this asapppp
Answer:
A
Explanation:
It depends on the scale of the volcanic eruption. A smaller eruption may only affect the nearby area, but a large one can affect the whole world. For example, the Krakatoa eruption of 1883 created an ash cloud which lowered global temperatures and affected the climate for a year afterwards.
An explosive eruption by a single volcano can affect only the lifeforms living on the volcano. The correct option is B.
What is a volcano?A volcano is an opening in the Earth's surface through which molten rock, ash, and gas can escape. Volcanoes are formed by the movement of tectonic plates, which create weak spots or vents in the Earth's crust where magma can rise to the surface.
Volcanoes can form in different ways, but most are formed at plate boundaries, where one tectonic plate is moving under another (subduction zone), or where two plates are moving away from each other (divergent boundary). When magma rises to the surface, it can form a volcanic cone or mountain over time.
There are three main types of volcanoes, based on their shape and the type of eruptions they produce:
(i)Shield volcanoes - broad, gentle slopes formed by lava flows that spread out over a wide area.
(ii)Stratovolcanoes (also called composite volcanoes) - tall, steep-sided cones formed by alternating layers of lava, ash, and other volcanic debris.
(iii)Calderas - large, basin-shaped depressions that form when a volcano collapses or erupts so forcefully that it empties its magma chamber.
Volcanoes can be active, dormant, or extinct. Active volcanoes are those that have erupted recently or are expected to erupt soon, while dormant volcanoes have not erupted in a long time but could still erupt in the future. Extinct volcanoes are those that have not erupted in thousands of years and are unlikely to erupt again.
Here in the question,
An explosive eruption by a single volcano can have a significant impact on the surrounding environment and local communities, but its effects are generally limited to the immediate vicinity of the volcano. The eruption may release ash, gases, and lava flows that can cause damage to nearby ecosystems and affect the health of humans and animals living in the area. However, the effects are unlikely to extend beyond the local region, let alone affect lifeforms throughout the world.
Therefore, B. only the lifeforms living on the volcano, is the correct option.
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Friction is defined as *
O a force that opposes motion.
O the rate at which velocity changes.
O the resistance of an object to a change in its velocity.
the speed of an object in a particular direction.
Answer:
O a force that opposes motion
The electromagnetic spectrum is organized into what based on the wavelengths and frequencies of the waves?
According to the type of radiation, this classification is made in ascending order of wavelength. Typically, electromagnetic radiation is divided into radio wave, microwave, infrared, visible light, ultraviolet, X-rays, and gamma rays categories based on its wavelength.
The electromagnetic spectrum's bands blend into one another rather than having clearly defined boundaries, like the bands of a rainbow (which is the sub-spectrum of visible light).
When electromagnetic waves travel through a medium containing substance, their wavelength is shrunk.
Although it is not often explicitly stated, electromagnetic radiation wavelengths are typically expressed in terms of the vacuum wavelength, regardless of the medium they are moving through.
The wavelength of electromagnetic radiation affects how it behaves. The behavior of electromagnetic radiation (EM radiation) in its interactions with single atoms and molecules also depends on the energy per quantum (photon) that it contains.
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Explain why gravitational force is an inverse square law force.
Answer:
The inverse square law proposed by Newton suggests that the force of gravity acting between any two objects is inversely proportional to the square of the separation distance between the object's centers. Altering the separation distance (d) results in an alteration in the force of gravity acting between the objects.
Explanation:
Medical technologists are developing a new type of pacemaker that, when planted inside a human’s chest, uses electrical impulses to help keep a steady heartbeat. The new design will send warning signals to a patient’s hospital sooner when it detects an upcoming heart problem. In testing so far, this new feature has only worked in about 25% of test patients. How does this product most likely need to be improved before doctors can report that the new technological design is successful? The product needs to better solve the problem for which it was designed. The product needs to become available to the public more quickly. The product needs to become more time effective when it is being built. The product needs to make better use of available building materials.
Answer:
A
Explanation:
got it right on edge 2021 :)
The product needs to better solve the problem for which it was designed ( first option )
After testing the new technology on patients and it showed only 25% success rate ( very low success rate). It is concluded that before Doctors can report that the new technology design is successful is when it better solves the problem for which it was designed for ( i.e. increase in the success rate to > 50% ). because for a procedure to be considered successful for deployment it will need to record a success rate of over 50% of the test patients.
Therefore the product needs to better solve the problem for which it was designed
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suppose a ray of light traveling in a material with an index of refraction na reaches an interface with a material having an index of refraction nb. which of the following statements must be true for total internal reflection to occur? check all that apply. suppose a ray of light traveling in a material with an index of refraction na reaches an interface with a material having an index of refraction nb. which of the following statements must be true for total internal reflection to occur?check all that apply. the angle of incidence must be less than the critical angle. na > nb the angle of incidence must be greater than the critical angle. the angle of incidence must be equal to the critical angle. na
The statement na>nb must be true for total internal reflection to occur.
Total internal reflection is known to occur when a light beam prefers to move from a denser to a rarer medium.
The refractive index of a denser medium is higher than that of a rarer one. This indicates that the medium's refractive index is higher than the medium in the particular situation.
This implies that the incident angle must be bigger than the medium's critical angle.
Total internal reflection is the complete reflection of a light ray from the surrounding surfaces back into a medium, such as glass or water, in physics. If the incidence angle exceeds a specific limitation angle known as the critical angle, the phenomenon will manifest.
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A rocket with a mass of 4,235 needs to enter a lunar orbit. To do so, if needs to slow down by 498 m/s. If the engines can provide a force of 2,507, find how long (in seconds) they need to fire to achieve orbital insertion. Your answer should be a whole number.
The time needed to achieve the orbital insertion is 841.3 s.
What is the time needed to achieve orbital insertion?
The time needed to achieve orbital insertion is calculated by applying Newton's second law of motion as follows;
F = ma
where;
a is the acceleration of the rocketm is the mass of the rocketF = m(v/t)
where;
v is the velocity of the rockett is the time needed to achieve orbital insertiont = (mv)/F
t = (4235 x 498) / (2507)
t = 841.3 seconds
Thus, the time needed to achieve the orbital insertion is determined from Newton's second law of motion.
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What is the velocity of a skater who is 10 kg, and has a Kinetic energy of 10000 Joules?
The velocity of the skater is 35 kg, has a Kinetic energy of 10000 Joules.
What is velocity ?
The definition of velocity is the rate at which a body moves in a particular direction. Velocity is the rate at which a distance changes in relation to time. A vector quantity with both magnitude and direction is velocity.
What is kinetic energy ?
When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and acquires kinetic energy.
Therefore, velocity of the skater is 35 kg, has a Kinetic energy of 10000 Joules.
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Why do jovian planets bulge around the equator, that is, have a squashed appearance?.
The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.
A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.
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state the relation between 1kgf and si unit of force
1 kgf in ...... is equal to ... SI units 9.806650 N