If you were standing 5 meters away from the cliff when you threw the keys, the total distance from the base of the cliff where you should look for the keys is 21.1 meters.
How to find distance of key ?To find the distance from the base of the cliff where you should look for your keys, you can use the formula for the horizontal range of a projectile, which is:
range = (initial velocity * time of flight)^2 / (2 * acceleration due to gravity)
In this case, the initial velocity of the keys is 8.0 m/s (horizontally), the acceleration due to gravity is 9.8 m/s^2, and the time of flight can be calculated using the formula:
time of flight = (2 * initial velocity * sin(angle)) / acceleration due to gravit
Since the keys were thrown horizontally, the angle is 90 degrees, so the time of flight becomes:
time of flight = (2 * 8.0 m/s * sin(90)) / 9.8 m/s^2 = 1.63 seconds
Substituting these values into the formula for the horizontal range, we get:
range = (8.0 m/s * 1.63 s)^2 / (2 * 9.8 m/s^2) = 16.1 meters
This is the horizontal distance that the keys traveled during their time of flight. To find the distance from the base of the cliff where you should look for the keys, you need to add this distance to the horizontal distance you were from the cliff when you threw the keys.
For example, if you were standing 5 meters away from the cliff when you threw the keys, the total distance from the base of the cliff where you should look for the keys is 16.1 meters + 5 meters = 21.1 meters.
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How fast would a 0.40 kg football have to be thrown to have a momentum of 8 kg m/s?
20 m/sec fast would a 0.40 kg football have to be thrown to have a momentum of 8 kg m/s.
What is momentum?It is measured by "mass velocity," since momentum depends on velocity, and it also depends on the direction of the body's motion. Since velocity and mass are both scalar quantities, momentum is also a vector quantity.
Given that,
mass of football (m) = 0.40 kg
momentum (p) = 8 kg.m/sec
As we know,
p = mv
8 kg.m/sec = 0.40 kg × v
v = (8 kg.m/sec ÷ 0.40 kg)
v = 20 m/sec
Now, 20 m/sec fast would a 0.40 kg football have to be thrown to have a momentum of 8 kg m/s.
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Determine the distance a 741.19 W crane lifts a crate in 57.59 s if it uses a force of 546,422.14 N.
The distance at which the crane lift a crate is 0.0781 m.
What is distance?Distnace is the lenght between two points.
To determine the distance the crane can lift the crate, we use the formula below.
Formula:
d = Pt/F.......................... Equation 1Where:
d = DistanceP = Powert = TimeF = ForceFrom the question,
Given:
P = 741.19 Wt = 57.59 sF = 546422.14 NSubstitute these values into equation 1
d = (741.19×57.59)/546422.14d = 0.0781 mHence, the distance is 0.0781 m.
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1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the symbol of the new atom?
4. What type of decay is demonstrated here?
1. The atomic mass of the new atom be 252. Option (d) is correct.
2. The atomic number of the new atom be 100. Option (j) is correct.
3. The symbol of the new atom be Fm. Option (e) is correct.
4. Beta decay is demonstrated here. Option (g) is correct.
What is Beta decay?A proton can change into a neutron or vice versa inside the radioactive sample's nucleus through a process known as beta decay. The radioactive sample's nucleus can approach the ideal neutron/proton ratio as closely as feasible through processes like beta decay and alpha decay.
The nucleus releases a beta particle during this process, which can either be an electron or a positron. Keep in mind that a proton can become a neutron or a neutron can become a proton. To follow the law of charge conservation, electron and positron are created. The weak contact that leads to beta-decay.
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what minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet?
0.525 m³ minimum volume must the slab have for a 42.0 kg woman to be able to stand on it without getting her feet wet.
How do you find the minimum volume?Add the biggest possible inaccuracy to each metric, then multiply to get the biggest volume you can. Subtract the largest potential mistake of each measurement, then multiply, to determine the smallest volume that can be produced.
Briefing:1000 kg/m³ = density of water
920 kg/m³ = density of ice
BF = Woman Weight + Slab Weight
Pvg = 42 + Pvg
V = 42 kg / (1000 - 920)
V = 42 / 80
V = 0.525 m³
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A car traveling at 70 m/s comes to a complete stop in a time of 50 sec. What is the car's acceleration?
-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec.
v=u+at in this v= final velocity u= initial velocity , a = acceleration of the car and t= time
initial velocity of car u= 70m/s
final velocity of the car is v= 0 m/s after stop the car is in rest position
time t =50s, now substitute these values in equation
0=70+a(50) which is -1.4 m/s².
here we got the answer in negative acceleration. Which is called as Deceleration.
Hence-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec
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storms in the south pacific can create waves that travel all the way to the california coast, which are 12,000 km away. how long does it take them if they travel at 18.3 m/s?
we may estimate that the storm's effects will last for about 9.3 days.
We were informed that a wave is produced in the south pacific ocean. Additionally, these phrases produce waves that have a 15 m/s speed and can travel 12,000 kilometres. These waves, which are produced in the southern Pacific, can travel this far. Therefore, we simply utilise the standard equation that T equals distance times speed at the time of combat. Therefore, we must translate this distance into metres. Thus, 12,000 times 1000 is greater than 15. As Pete lacks seconds, the results are revealed. Thus, this can be expressed as eight times ten, increased to five seconds. So let's convert to our words first. Therefore, in terms of us, we will find that this equals to ours be 222 points. In order to determine the approximate number of days, we need to divide the amount by 24. 9.3 approximately Therefore, we may estimate that the storm's effects will last for about 9.3 days.
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hat is the volume rate of flow of water from a 1.90- cmcm -diameter faucet if the pressure head is 10.0 mm ?
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of water flow is about. 3.97 × 10⁻³m³/s.
Given:
The faucet's diameter (d) is 1.90 cm (0.019 m).
Pressure head (h) = 13.0 m
The formula for the volume rate of flow (Q) through a pipe or faucet is given by:
Q = A × v
The radius of the faucet (r) is half of the diameter:
r = d / 2 = 0.019 / 2 = 0.0095 m
The cross-sectional area of the circular opening is given by:
A = π × r²
v = √(2 × g × h)
v = √(2 × 9.81 × 13.0)
v = √(254.46)
v = 15.95 m/s
Now, we have both A and v. Let's calculate the volume rate of flow (Q):
Q = A × v
Q = π × (0.0095)² × 15.95
Q = 3.97 × 10⁻³m³/s
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of flow of water is therefore about. 3.97 × 10⁻³m³/s.
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The complete question is:
What is the volume rate of flow of water from a 1.90- cm -diameter faucet if the pressure head is 10.0 mm?
In this scenario a battery is used to supply chemical potential energy. The potential energy is transformed and produces kinetic energy. The battery causes a fan to spin and that kinetic energy can also be described as mechanical energy. Check out the values for each: 100 J potential energy results in 75 J of kinetic energy. What conclusion can be drawn from the energy transformation diagram?
Responses
A The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.The chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy.
B The energy transformation results in 25J of energy being lost.The energy transformation results in 25J of energy being lost.
C The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy. The 100J of chemical potential energy releases 25J as friction and 75J of mechanical energy.
D Not all of the chemical potential energy is converted; 25J remains as potential energy.
The conclusion that can be drawn from the energy transformation diagram is "the chemical potential energy is transformed into 75J of kinetic energy and 25J of heat energy".
option A is the correct answer.
What is the law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
This implies that energy is always conserved as it be converted from one form of energy to another. Such as;
Potential energy to kinetic energyKinetic energy to potential energyChemical energy to electrical energyElectrical energy to chemical energyElectrical energy to heat energyElectrical energy to light energy, etcIn the given scenario such that 100 J of potential energy is transformed to produce kinetic energy and the battery causes a fan to spin using 75 J of kinetic energy converted from the 100 J of potential energy.
We can conclude the following based on the given scenario;
energy conversion takes placesenergy is conservedall the potential energy is converted into kinetic energythe remaining energy (25 J) is converted into other form of energythe possible form of energy of the 25 J is heatLearn more about energy conservation here: https://brainly.com/question/166559
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how are the waves generated in the spectrum
Two identical objects go around circles of identical diameter, but one object goes around the circle twice as fast as the other. The centripetal force required to keep the faster object on the circular path is.
Answer:
a
Explanation:
A light-weight potter's wheel, having a moment of inertia of is spinning freely at 40. 0 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1. 2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay?.
The mass of the clay that spinning freely with a speed of 40.0 rpm sticks to a distance of 1.2 m from the axis of rotation and the subsequent angular velocity of the wheel and the clay 32 rpm is 4.2 kg.
Law of conservation of angular momentumThe law of conservation of angular momentum is an analogy of the law of conservation of linear momentum. If we look back at Newton's II law for translational motion, a similar relationship will apply to the law of the conservation of momentum.
The law of conservation of angular momentum is a law that states the amount of momentum before and after producing the same or constant collision.
The equation is:
I₁ω₁ = I₂ω₂
We have,
Initial angular speed of the system = 40.0 rpm ⇒ ω₁
Final angular speed of the system = 32 rpm ⇒ ω₂
This question is incomplete, it should be the moment of inertia of potter's wheel = 24 kgm² ⇒ I₁ = I₂
Distance of clay from axis of rotation = 1.20 m ⇒ R
So, to determine the mass of the clay we can use conservation of angular momentum:
I₁ω₁ = I₂ω₂
(24) (40) = (24 + m (1.20)²) (32)
m = 4.2 kg
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An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment. What would be an advantage of using a solid-state detector?.
A solid-state detector converts part of the energy of the particles directly into electric current.
What is a solid-state detector?A semiconductor detector also known as a solid-state detector in ionizing radiation detection is a device that uses a semiconductor generally silicon or germanium to measure the effect of incident particles (charged) or photons.
Semiconductor detectors have broad applications for gamma and X-ray spectrometry, radiation protection, and particle detectors. Solid-state detectors are sensitive to charged particles and are transparent to gamma rays.
Solid-state detectors offer a signal by collecting the charge released in the passage of the particle through a semiconductor. In these detectors, a semiconductor material such as a silicon (Si) or germanium (Ge) crystal constitutes the detecting medium.
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Which statements are explained by Newton’s law of universal gravitation?
//Heavier objects fall faster than lighter objects.
//The strength of Earth’s gravity decreases as an object gets farther from Earth.
//The strength of gravity depends on an object’s mass.
//Mass and weight are the same quantities.
Answer:
Below
Explanation:
The strength of Earth’s gravity decreases as an object gets farther from Earth. <===== this is the only statement that is true
Answer: (There are two statements)
The strength of Earth's gravity decreases as an object gets farther from Earth.
The strength of gravity depends on an object's mass
Explanation:
for a closed universe ( ), is the angular diameter distance monotonic? for an open universe ( ), is the angular diameter distance monotonic?
Simply said, open and closed are infinite or finite. Its critical density is a factor for the geometry. The cosmos is closed (limited) and positively curved like the surface of a ball if the density parameter is larger than 1.
This expansion is supposed to occur at a constant rate in flat geometry. Acceleration is caused by dark energy.According to general relativity, the geometry of space, or its flatness, is directly related to the mass density, hence as space expands, the geometry becomes flatter. Think of space as a balloon's surface. The balloon's surface becomes increasingly flatter as you blow it up. This occurs in three dimensions in space.When we return to our geometry and mass density relationship as space flattens, we discover that the density is pushed toward critical density.Since space expands exponentially during inflation, it is really pushed extremely swiftly toward critical density, which explains why we are so close to the critical mass density.
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For a closed universe, the angular diameter distance is not monotonic. This is because in a closed universe, the expansion rate is decelerating due to the gravitational pull of matter, causing light to bend and curve as it travels through the universe.
This curvature effect can cause the apparent size of objects to vary as a function of their distance, leading to a non-monotonic angular diameter distance.
On the other hand, for an open universe, the angular diameter distance is monotonic. This is because in an open universe, the expansion rate is accelerating due to dark energy, causing light to travel in straight lines and maintaining a constant relationship between the physical size of an object and its angular size as it moves further away. Therefore, the angular diameter distance increases monotonically with distance in an open universe.
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stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants
Stars with a mass greater than 15 times that of the sun typically transition directly from the hr diagram to the red giant stage while maintaining a nearly constant luminosity.
Constant means what?A quantity that is supposed not to shift value in a particular mathematical debate is one that has a specific amount in a specific context, is true globally, or is a feature of some material or instrument.
What symbol represents a constant?A digit (0–9) or a period serves as the initial of a constant sign. A constant symbol's value cannot be altered. It is merely the string made up of the symbol's characters, all lowercase alphabetic characters having been converted to uppercase.
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½ pounds of butter to make one batch of cookies how many Kilograms of
butter is needed to make 12 batches of cookies? Dimensional analysis
One batch of cookies need 1/2 pounds or 0.21 Kg. Thus, 12 batches of cookies need 2.61 kg of butter.
What is one pound of mass?Mass of a substance is the measure of its total amount. Mass of a substance can be expressed in g, Kg, pounds, lbs etc. Each units can be interchanged with certain relations.
One pound of mass = 0.435 Kg.
Thus, 1/2 pound = 0.435/2 = 0.21 kg.
Given that one batch of cookies need 1/2 pounds or 0.21 Kg. Hence, the amount of butter need to prepare 12 batch of cookies is :
= 12 × 0.21 Kg = 2.61 kg.
Therefore, the mass of butter required for 12 batches of cookies is 2.61 Kg.
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A small car and a semi-truck have the same total mechanical energy. Which if the following cannot be true?
The car is going the same speed as the truck and the truck and car are at the same height can not be true. Therefore, option (B) is correct.
What is mechanical energy?Mechanical energy can be defined as the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a body because of its position or motion.
The total mechanical energy can be considered conserved when the forces doing work are conservative in nature. The energy changes between different kinds of potential energy and kinetic energy but the total energy of the system remain constant.
Kinetic energy and the potential energy of the car and the semi-truck will depend on the masses of the objects. The semi-truck must have a greater mass than the car. Therefore, the car and the semi-truck must have different values of speed and height if they have the same total mechanical energy.
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A 0. 25-kilogram baseball is thrown upward with a speed of 30. Meters per second. Neglecting friction, the maximum height reached by the baseball is approximately.
Answer:46m
Explanation:
which statement is true about the relationship between hubble's constant and the age of the universe? which statement is true about the relationship between hubble's constant and the age of the universe? the larger the value of hubble's constant, the slower the universe is expanding and the older the universe must be. the larger the value of hubble's constant, the faster the universe is expanding and the younger the universe must be. the larger the value of hubble's constant, the slower the universe is expanding and the younger the universe must be. there is no relationship between the value of hubble's constant and the age of the universe.
The correct statement is:
"The higher the value of the Hubble constant, the faster the universe is expanding and the younger it should be."
The Hubble's constant, named after American astronomer Edwin Hubble, is a measure of the expansion rate of the universe. It is defined as the ratio of the speed at which a galaxy is moving away from an observer to its distance from the observer. We can use this constant to calculate the age of the universe by estimating how long it took the universe to reach its current size.
The higher the Hubble constant, the faster the galaxies are moving away from each other. This means that the universe is also expanding faster, so it should be younger. Conversely, a small value of the Hubble constant means that the universe is expanding slowly, and therefore must be older.
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explain why the ir thermal image of the heated plate at a uniform temperature looks different in temperature scales
Due to gradient difference ir thermal image of the heated plate at a uniform temperature looks different in temperature scales
In order to clarify field studies pertaining to animal ecology, thermal imaging is a very effective remote sensing technique for a variety of reasons. A wide range of platforms, including land, water, and air-based vehicles, are used to collect thermal imaging data in real time at the speed of light. It is superior to visible imaging technologies because it can detect animals in a wide range of typically problematic atmospheric conditions because thermal radiation can penetrate smokes, aerosols, dust, and mists more effectively than visible radiation. It is a completely passive imaging method that works in both daylight and darkness. As a result, there are fewer disruptions and stressful disturbances to wildlife while data collection is taking place. Because it contrasts the emissivity of the animal with its background rather than comparing temperatures, it can detect animals that are colder, warmer, or the same temperature as their background.To study about remote sensing -
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Question 13 of 25
Which of the following changes would make a heat engine waste more
energy as heat?
OA. A decrease in its exhaust temperature
OB. An increase in work done
OC. A decrease in randomness
OD. A decrease in its operating temperature
Answer:
D. A decrease in its operating temperature
A block is dropped on to
the track and bounces back
to the dropping point.
Is energy conserved or not?
Answer: yes
Explanation:
If a kiloparsec (kpc) is equal to 1000 parsecs, how many light years is a kiloparsec
equal to?
(1 point)
O 3, 260 light years
O 3.26 light years
O 3 million light years
O 2, 260 light years
If a kiloparsec (kpc) is equal to 1000 parsecs, light years is a kiloparsec equal to: 3, 260 light years.
What is light years?The distance that light travels in a light-year is one year. At 186,000 miles (300,000 kilometres) per second and 5.88 trillion miles (9.46 trillion kilometres) per year, light travels through interstellar space.
Since a light-year is the maximum distance light can travel in one year and nothing can move faster than that, the answer appears to be 13.8 billion light-years.
Thus, 3,260 many light years is a kiloparsec.
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A rubber block weighing 40.0 newtons is resting on a horizontal level surface of dry concrete. What is the magnitude of the minimum force needed to start the rubber block moving across the dry concrete?
The minimum force to start the block moving is 40N
What is limiting frictional force?Limiting friction occurs when the moving force and the force opposing motion are equal,any addition to the moving force will cause slipping. The limiting frictional force is proportional to the normal reaction between the contacting surfaces and is independent of the area of contact.
Therefore for an object to be stationary, the moving force is equal to force opposing it. In these scenario the minimum force to move a stationary object must be equal to the weight of the object. The weight of the object is 40N.
Therefore the minimum force to move the block is 40N.
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a ball has a diameter of 3.81 cm and average density of 0.0835 g/cm3. what force is required to hold it completely submerged under water?
Force required to hold ball completely submerged under water is calculated as 0.257 N.
What is buoyant force?Net upward force on any object in any fluid is called buoyant force . If buoyant force is greater than the object's weight, then the object will rise to the surface and float.
Given, ρ1 = 0.0835 g/cm3 and ρ2 =1g/cm3)
and radius = 3.81/2 cm = 1.9 cm
As, the volume of sphere = 4/3 π r3
and mass of sphere = 4/3 π r3 ρ1
So, weight of the sphere is 4/3 π r3 ρ1 g
Volume of water displaced = 4/3 π r3
As we know, buoyant force = 4/3 π r3 ρ2 g
= 4/3 π * 1.9 * (1-0.0835) *9.81
= 257.66 * 10^-3
F = 0.257 N
Force required to hold it completely submerged under water is 0.257 N
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You need to get to the post office, 200 meters away, and you can walk at about 2.5 m/s. How much time will it take to get to the post office?
Which condition would exist for the length of day and night to be equal all year long
Answer:
the Equionox
Explanation:
there are only teo times of the year when the earths axis
is tilted neither toward nor away from the sun, resulting on a nearly equal amount of daylight and darkness at all latitudes. these events are referred to as equionoxes
An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.
The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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for a spacecraft operations for a several year long mission to the outer solar system, i should use:
Long-duration spacecraft use the potent rocket fuel LOX + LH as a propellant. The spacecraft's long-term survival in the outer solar system is ensured by the use of this propellant.
To be utilized on commercial space launch vehicles is the propellant Lox/LH2. For massive space rockets, liquid oxygen was the first, least expensive, safest, and ultimately favoured oxidizer. Its fundamental flaw is that it is only mildly cryogenic, making it unsuitable for military applications where speedy launch and storage of the missile's fuel are essential. All the top rocket thinkers agreed that liquid hydrogen was the theoretically ideal rocket fuel.
LH2 and LOX are fed into each engine's combustion chamber after being placed in the tanks and when the launch countdown approaches zero. When the propellant is lit, the hydrogen and oxygen react violently to create: water
O2 + 2H2 = 2H2O + Energy
Superheated water and enormous quantities of energy are released in this "green" process (steam). The water vapour expands and leaves the engine nozzles at speeds of 10,000 mph due to the hydrogen-oxygen reaction's intense heat.
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Michael uses his bike to apply 494 N to himself and the bike by pedaling as he approaches a 1.9 m tall ramp which is 3.4 m away. What work does the Michael do on himself and the bike he is riding?