Pat races at 10 miles per hour, while Kim races at 9 miles per hour and when they both ran in the same long-distance race last week, the length of the race will be 12 miles.
What is a distance?The size or magnitude of the difference between two positions is what is referred to as distance. It should be noted that the distance traveled between two positions and the distance between them are not the same. The total length of a path connecting two points is known as the distance traveled.
Let the race's distance be d miles.
The race time for Pat = d/10
The race time for Kim = d/9
The time for Pat will be equal if we take away 8 minutes from the time for Kim:
d/10 = d/9 - 8/60
This equation can be written as:
d/10 = 5d-6/45
If we cross-multiply, we obtain:
45d = 50d -60
60 = 5d
d = 12 miles.
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 A penny is dropped off of the top of the Statue of Liberty, which is 93 meters tall. How long will it take for the penny to hit the ground?
Answer:
About 4.4 seconds
Explanation:
[tex]h=1/2(gt^{2} )[/tex]
[tex]t^{2} =\frac{2h}{g}[/tex]
[tex]t=\sqrt{\frac{2h}{g} }[/tex]
[tex]t=\sqrt{\frac{2(93)}{9.8} } =\sqrt{18.98} =4.36[/tex]
Hope this helps
A piece of aluminum with mass 1.00kg and density 2700kg/m 3
is suspended in air from a string and then completely immersed in a container of water. Calculate the tension in the string (a) before and (b) after the metal is immersed. Take, g=10m/s 2
, density of water =10 3
kgm −3
.
The tension in the string before the metal is immersed is 10 N. The tension in the string after the metal is immersed is 6.296 N.
What causes a string's tension?The forces tugging on the rope from either end cause a certain strand of string or rope to be under strain. Recall that force equals mass times acceleration. Any change in acceleration or mass of the objects the rope is supporting will result in a change in tension in the rope, assuming the rope is stretched firmly.
(a) The tension in the string before the metal is immersed,
Given,
Mass of place of aluminum (m) = 1.00 kg
density of aluminum (ρ_s) = 2700 kg/m^3
density of water (ρ_w) = 1000 kgm^-3
When the aluminum piece is suspended in air,
T = mg
T = 1 ×10
T = 10 N
(b) When the aluminum piece is completely immersed in water,
mg = T +F_B
Where, F_B = buoyant force acting on aluminum
T= tension in the string
T= mg − F_B
T = ρ_sV_s×g - ρ_LV_L×g
After simplifying we get,
T = mg (1 - ρ_L/ρ_s)
T = 1 × 10(1 - 1000/2700)
T = 10(1 - 10/27)
T = 6.296 N
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which of the following patterns would you observe if you started at sea level and traveled upward through the earth's atmosphere to an elevation of 100 km?
The patterns would you observe if you started at sea level and traveled upward through the earth's atmosphere to an elevation of 100 km are-
decreasing pressure decreasing densityIn this case, Option B and F are correct.
The atmosphere is what?
The layer of gases that envelops the Earth and other planetary bodies is the atmosphere. It is made up of various gases, including nitrogen, oxygen, and others, as well as vaporized water, dust, and other materials. The atmosphere shields us from harmful solar radiation while also assisting in climate control on Earth. Life on Earth as we know it would not exist without it.You would notice a drop in temperature, an increase in air pressure, and a drop in the amount of oxygen available if you started your journey at sea level and rose through the Earth's atmosphere.As you ascended, you would also notice a reduction in the amount of dust, water vapor, and other atmospheric particulates.To know more about atmosphere click-
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Which of the following patterns would you observe if you started at sea level and traveled upward through the Earth's atmosphere to an elevation of 100 km? Choose one or more:
A. a progressive decrease in temperature
B. decreasing pressure
C. changes from warming trends to cooling trends at distinct boundaries D. increasing pressure
E. increasing density
F. decreasing density
▼
Part D
The quantity represented by v is a function of time (i.e., is not constant).
True or false
Part E a particle moves with constant acceleration a. The expression VI +80 represents the particles velocity at what instant in time.
A. At a time T=zero
B. At the initial time
C. When a time tea has passed since the beginning of the particles motion, when its velocity was the vi
The amount indicated by is not fixed and changes over time. In situations where the linear acceleration is not zero, the velocity is always changing.
The first case is true
Since it depends on time, is not constant?
The amount indicated by is not fixed and changes over time. In situations where the linear acceleration is not zero, the velocity is always changing.
The dimension of the quantity albo will be ufa au av u t when calculating a particle's velocity as a function of time t using the formula v = a(1 - eb), where a and b are constants. (1 - e-b) Greutate, urb'a 221 Aich, a zat a2b3c faut Eleft.
The amount indicated by is not fixed and changes over time. When linear acceleration is absent .
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The quantity represented by v is a function of time (i.e., is not constant).
True or false
A particle moves with constant acceleration a. The expression VI +80 represents the particles velocity at what instant in time.
A. At a time T=zero
B. At the initial time
A particle starts from the origin at time t = 0 and moves along the positive x - axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s?
. learning over the first year of life, for example the emerging understanding of gravity and stability or the relationship between weight and size
Babies learn to concentrate their eyesight, stretch out, explore, and learn about the world around them during their first year. Cognitive development, often known as brain development, refers to the process of acquiring memory, language, thinking, and reasoning.
What is the significance of the first year of life?The period of infancy is critical for brain development. Children who do not have a healthy first attachment are less likely to grow up to be happy, independent, and resilient individuals.
One of the primary causes is the rapid growth of the brain beginning before birth and continuing throughout early life.
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polly ester and ray ahn are doing the elastic collision lab on a low-friction track. cart a has a mass of 0.75 kg and is moving rightward at 14.7 cm/s prior to the collision with cart b. cart b has a mass of 2.00 kg and is moving leftward with a speed of 64.2 cm/s.
The post-collision speed and direction of cart B in cm/s is 32.5 cm/s in the right
From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum
Momentum, p-mv where m is the mass and v is the velocity
m1v1 + m2v2 = (M1V2 + M3V₁)
Let right direction be positive while left negative hence
1 x 27.6 + (0.5*-42.9) = 1 x -10.1 + 0.5v
16.25 = 0.5v
v = 16.25/0.5 = 32.5 cm/s in the right
Hence, post-collision speed and direction of cart B in cm/s is 32.5 cm/s in the right
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Which of the following changes to the circuit will decrease the electric field between the electrodes by the greatest amount?
a) Increasing L by a factor of 2 b) Decreasing L by a factor of 2 c) Increasing R by a factor of 2 d) Decreasing R by a factor of 2
Electric field (E) is directly proportional to the voltage (V) and inversely proportional to the distance (L) between the electrodes.
What is electric field and calculation for above answer?E = V/LElectric field also inversely proportional to the resistance (R)E = V/RThe circuit is a parallel plate capacitor which the electric field is the driving force that pushes charges around the circuit and the voltage is the energy stored in the circuit.Increasing L by a factor of 2 means that the distance between the electrodes is doubled, and therefore the electric field will be halved.Decreasing L by a factor of 2 means that the distance between the electrodes is halved, and therefore the electric field will be doubled.Increasing R by a factor of 2 means that the resistance is doubled and therefore the electric field will be halved.Decreasing R by a factor of 2 means that the resistance is halved and therefore the electric field will be doubled.Therefore, the change that will decrease the electric field between the electrodes by the greatest amount is decreasing L by a factor of 2.To learn more about electric field refer:
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The electric field will decrease by a factor of two when the distance is increased by a factor of 2 : V = E×d, E = V/d.
Option A is correct
- Since altering R is not directly proportional to E in the same way that altering the distance L is, increasing L is the most efficient approach.
What is an electric field?Electric field, an electric property that is connected to every point in space when any kind of charge is present. The electric field strength, intensity, or simply the electric field is expressed by the value of E, which indicates the magnitude and direction of the electric field.
What is an example of an electric field?The area of space around an electrically charged particle or object in which the charge body experiences force is known as an electric field . Examples: Charges and their configurations, such as those of capacitors and battery cells, produce electric fields.
Question incomplete:Which of the following changes to the circuit will decrease the electric field between the electrodes by the greatest amount?
A.Increasing L by a factor of 2
B. Decreasing L by a factor of 2
C. Increasing R by a factor of 2
D. Decreasing R by a factor of 2
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Which one of the following options gives the correct procedure to A. moles x molar mass B. molar mass /moles C. moles molar /mass
A is provided with the proper procedure by moles x molar mass. This same mass metric grams of one mole of an ingredient is its molar mass.
What is matter's mass?The proportion of substance in a thing is measured by its mass. That thing will be the same mass no matter where it is in the enormous universe. Contrarily, weight is a measurement that indicates how much gravitational potential energy is being applied to an object.
Is one mole of mass equal?A pure element's atomic mass in number of atoms (amu) or grams for every mole (g/mol) is proportional to the mass about one mole of its elements in grams. Despite the fact that mass can be stated as either amu or g/mol, g/mol.
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In an experiment, students use a force sensor to apply a force of magnitude F to an object of mass m that is initially at rest. The force is exerted in the +x-direction for a time t =T. The impulse exerted on the device is J. Which of following procedure changes would result in an impulse 2J being exerted on an object? A. Exert a force of magnitude F/2 on an object of mass m for a time t =T. B. Exert a force of magnitude F/2 on an object of mass 2m for a time t = 2T. C. Exert a force of magnitude F on an object of mass 2m for a time t = 2T. D. Exert a force of magnitude 2F on an object of mass m for a time t = 2T. E. Exert a force of magnitude 2F on an object of mass m for a time t = .T/2.
The force must be raised to apply an impulse of 2J to an item, either by increasing the force's intensity or the object's mass. The right answer is Option C because it satisfies the requirement by applying a force of magnitude F to an object with mass 2m for some time t = 2T.
What does the physics term "impulse" mean?
To change the momentum of an object, you must exert a certain amount of force over a specific period. It is F times t because of this. For instance, you exert force for a brief period when you hit a ball with a cricket bat.
What is the definition of an impulse simple?
In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton seconds or kilograms per second and is denoted by the symbol J.
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As shown, a server at a restaurant is carrying a tray that has a glass of water resting on it. The glass and tray exert a force with magnitude F1 = 4.00 on the server's hand. If l1 = 1.45 ft, l2 = 1.15 ft, l3 = 0.500 ft, σ1 = 145o, and σ2 = 110o, what is the moment of force about the shoulder joint at point A? Assume that moments acting in the counterclockwise direction about point A are positive whereas moments acting in the clockwise direction are negative. ft
MA = ??? lbo ft
positive while seconds moving counterclockwise Direction are negative 1.18lb.ft
What is the most accurate way to define direction?Direction is characterized as the course that anything follows, the route that needs to be taken to go to a particular location, the direction where something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.
WHY IS DIRECTION ESSENTIAL?Directions explain how to perform an action or the proper sequence. You are provided instructions for a number of your activities and assessments. It's critical to comprehend the motivation behind the instructions. Before starting anything, it's also crucial to follow ALL of the instructions.
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A mass attached to a vertical spring causes the spring to stretch and the mass to move
downwards. What can you say about the spring’s potential energy (EPE) and the
gravitational potential energy (GPE) of the mass?
A) both EPE and GPE decrease
B) EPE increases and GPE decreases
C) both EPE and GPE increase
D) EPE decreases and GPE increases
The spring's elastic potential energy decreases and the gravitational potential energy increases.
What do you mean by potential energy?
Potential energy is the energy an object possesses because of its position or state. It is the energy an object has due to its height, position, or chemical composition. The unit of measurement for potential energy is usually Joules (J).
There are different types of potential energy, such as gravitational potential energy (GPE), elastic potential energy (EPE), and chemical potential energy.
When a mass is attached to a vertical spring, it causes the spring to stretch. As the spring stretches, it stores potential energy in the form of elastic potential energy (EPE). As the spring stretches, the potential energy stored in it increases.
At the same time, as the mass is attached to the spring and moves downward, it loses gravitational potential energy (GPE) due to the work done by gravity on the mass. Since the mass is moving downward, the gravitational force is acting in the opposite direction of the displacement, resulting in a decrease in GPE. Therefore, as the mass moves downward, the EPE of the spring increases and the GPE of the mass decreases.
Therefore, the spring's elastic potential energy decreases and the gravitational potential energy increases.
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the star betelgeuse is about 600 light-years away. if it explodes tonight, the star betelgeuse is about 600 light-years away. if it explodes tonight, we'll know because it will be brighter than the full moon in the sky. we'll know because debris from the explosion will rain down on us from space. we won't know about it until about 600 years from now.
It is exactly because of the expanding cosmos that we can see objects that are up to 46.1 billion light-year away. The range of objects we can perceive and potentially reach will always be constrained.
Why can't we observe a galaxy that is 15 billion years old?
Answer and justification According to prevailing opinion, we can't see a galaxy 15 billion light-years away because the universe is thought to be less than 14 billion years old.
Why can we observe objects 13 billion light-years away?
Since light travels at a finite speed, if we witness an object 13 billion light years distant, the light has been moving in our direction for 13 billion years. In essence, we perceive that item as
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A spacecraft travels along a straight line from Earth to the Moon. At what distance from Earth does the force of gravity exerted by Earth on the coasting spacecraft cancel the force of gravity exerted by the Moon on the spacecraft? Use the Moon's orbit semimajor axis as a distance between planets. Express your answer to two significant digits and include the appropriate units.
The gravitational force between any two bodies is inversely proportional to the square of the distance between them. The distance from Earth at which the force of gravity exerted by Earth on the spacecraft cancels the force exerted by the Moon on the spacecraft is 384,400 km.
What is a gravitational force?Gravitational force is a natural phenomenon by which all objects with mass attract each other. This force is one of the four fundamental forces of nature, and is the weakest of the four. It is the force that binds us to the Earth and keeps our feet firmly planted on the ground.
Part A: The gravitational force between any two bodies is inversely proportional to the square of the distance between them. Therefore, the force of gravity exerted by Earth on the spacecraft will be equal to the force of gravity exerted by the Moon on the spacecraft when the distance between them is equal to the Moon's orbit semimajor axis.
Part B: The Moon's orbit semimajor axis is 384,400 km. Therefore, the distance from Earth at which the force of gravity exerted by Earth on the spacecraft cancels the force of gravity exerted by the Moon on the spacecraft is 384,400 km.
To two significant digits, the answer is 384,400 km.
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Of the list of terms and phrases below, select the ones that describe either formation areas or atmospheric conditions ideal for supercell thunderstorm development.
Group of answer choices
the US Central Plains states in spring
the warm sector of a developing mid-latitude cyclone
strong upper-level convergence
strong surface convergence
strong updrafts
the US Pacific Northwest in summer
cool, dry air in the mid-levels above warm moist air near the surface
strong vertical wind shear
Your students should be informed that the warm sector of a mid-latitude cyclone is the region situated between the leading warm front and the trailing cold front. The space behind the cold front is known as the cold-sector.
In a mid-latitude cyclone, what is its warm sector?Your students should be informed that the warm sector of a mid-latitude cyclone is the region situated between the leading warm front and the trailing cold front. The space behind the cold front is known as the cold-sector.The US Central Plains states in the warm sector of a developing mid-latitude cyclone in the spring are the formation areas or atmospheric conditions optimal for supercell thunderstorm development.Your students should be informed that the warm sector of a mid-latitude cyclone is the region situated between the leading warm front and the trailing cold front.To learn more about atmospheric conditions refer to:
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Large diameter lines carrying low pressure fluids such as engine return oil and cooling air are typically joined by a rubber hose that is slipped over the tube ends and held in place with screw type hose clamps
The main justification is that pressure decreases with surface area. Rubber hoses are widely used to connect large diameter lines that carry low pressure fluids, like cooling air and engine return oil.
The total area of an object's three-dimensional exterior surfaces, or the sum of its faces, is known as surface area. The main justification is that pressure decreases with surface area. Rubber hoses are widely used to connect large diameter. Its measurement units are square. In other words, the sum of all the areas of all the shapes that cover a surface equals the surface area of the object. A circle's diameter is equal to twice its radius in length. Measuring the distance between the circle's centre and its end allows one to determine the radius.
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The complete questions is -
Large diameter lines carrying low pressure fluids such as engine return oil and cooling air are typically joined by a rubber hose that is slipped over the tube ends and held in place with screw type hose clamps, Why?
FILL IN THE BLANK it is illegal to follow an emergency vehicle at a distance of_____or to stop within ______ of where an emergency vehicle is responding to an alarm.
It is illegal to follow an emergency vehicle at a distance of less than 500 feet or to stop within 300 feet of where an emergency vehicle is responding to an alarm.
How does maintaining a safe distance from an emergency vehicle enhance the safety of both the emergency vehicle's crew and other drivers on the road?Maintaining a safe distance from an emergency vehicle enhances the safety of both the emergency vehicle's crew and other drivers on the road by providing the emergency vehicle with the necessary space to maneuver and respond quickly to an alarm. When an emergency vehicle is responding to an alarm, it may need to make sudden stops, turns or change speed quickly, and if the vehicle behind is too close, it may not be able to react in time and cause an accident. By maintaining a safe distance, other drivers can react in a timely manner to the emergency vehicle's movements, reducing the risk of collisions and accidents. Additionally, maintaining a safe distance can also help to increase visibility for the emergency vehicle's crew, which can help them to navigate through traffic more safely and quickly. This ultimately contributes to the safety of all parties involved.
This statement is referring to laws and regulations regarding the distance that a driver must maintain from an emergency vehicle that is responding to an emergency call or alarm. Following an emergency vehicle too closely, or stopping too close to where an emergency vehicle is responding to an alarm, can impede the emergency vehicle's ability to respond quickly and safely.
It is illegal to follow an emergency vehicle at a distance of less than 500 feet because this distance is considered to be too close and can pose a safety hazard to the emergency vehicle and its crew. When an emergency vehicle is responding to an alarm, it may need to make sudden stops, turns or change speed quickly and if the vehicle behind is too close, it may not be able to react in time and cause an accident.
It is also illegal to stop within 300 feet of where an emergency vehicle is responding to an alarm. Stopping too close to the emergency vehicle can block the view of other drivers and make it difficult for the emergency vehicle to maneuver. Additionally, it can impede the flow of traffic and make it difficult for other vehicles to pass, which can cause a backup and delay the emergency vehicle's response time.
In summary, these regulations are put in place to ensure the safety of emergency vehicle's crews and other people on the road, and to make sure that emergency vehicles can respond to an alarm quickly and safely.
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A semi circle has a radius of 2000km and a thickness of 3000 meters. How many cubic centimeters does it have
The volume of the semi circle in cubic centimeters is 3.75 * 10^22 cm^3
What is the cubic centimeters ?We know that the first step that we would have to take is to be able to get the area of the semi circle and when we do that we are going to have from the values that we have in the question;
A = πr^2
A = area
r = radius
Where r = 2000km or 2 * 10^8 cm
A = 3.142 * (2 * 10^8)^2
A = 1.25 * 10^17 cm^2
Then we would have;
Volume = area * thickness
Thickness = 3000 meters or 3 * 10^5 cm
Volume = 1.25 * 10^17 cm^2 * 3 * 10^5 cm
= 3.75 * 10^22 cm^3
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if the swiss franc is trading at 0.69, and a customer buys 1 sep sf 70 put and writes 1 sep sf 65 put, this position is A) calendar spread.
B) bear spread.
C) diagonal spread.
D) bull spread.
Bear spread was correct!.
What exactly is the bear spread strategy?A bear put spread is made up of one long put and one short put with a higher strike price. Both put options have the same underlying stock and expiration date. A bear put spread is constructed for a net negative (or net cost) and gains as the price of the underlying stock falls. Bear may earn from being correct by selling short stocks or ETFs in the market.
This entails borrowing shares and then selling them in the hopes of buying them again at a reduced price and returning the shares to the lender. Inverse ETFs and mutual funds are also available, which increase when markets fall.The bear call spread makes the most money when the underlying price falls.
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difference between speed and velocity, and describe how speed and velocity impact your acceleration.
Speed is the rate at which an object moves, while velocity is the speed of an object in a given direction, and acceleration is affected by both speed and velocity, as an increase in either can cause an increase in acceleration.
How is speed and velocity measured? Speed is the rate at which an object is travelling at any given moment, usually measured in units such as miles per hour (mph) or kilometers per hour (kph). Velocity is the rate of change in the object’s position over a period of time, typically measured in units such as meters per second (m/s).Speed can be measured directly, using devices such as radar guns, and is also inferred from distance and time measurements. Distance can be measured using a variety of methods, such as a ruler, a GPS device, or a map. Time can be measured using a stopwatch, a clock, or by measuring the amount of time it takes an object to travel a certain distance.Velocity is calculated by dividing the distance an object has traveled by the amount of time it took to travel that distance. For example, if an object moves a distance of 5 meters in 2 seconds, its velocity is 2.5 m/s.Speed and velocity can also be measured indirectly, using a variety of instruments such as accelerometers, gyroscopes, and other motion sensors. These instruments measure the object’s acceleration, which is the rate of change of its velocity over time. By combining the measurements of acceleration, distance, and time, speed and velocity can be calculated.To learn more about speed and velocity refer to:
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TRUE/FALSE. waves are formed by the interrption of the crest of the wave as it slows down over the faster moving bottom of the wave.
False: Waves are generated when the wave's crest crashes into the bottom of the wave, which is travelling more quickly.
How do waves work?A wave is an energetic disturbance in such a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, a magnetic or electrical intensity, an electric potential, or a change in temperature are a few examples.
What do waves go by?Transverse and longitudinal waves are the two types of waves. While longitudinal waves are similar to those of sound, composed of alternating compressions & rarefactions in a medium, transverse waves were like those on water, having their surface moving up and down.
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using the definition of the scalar product, find the angle between the following vectors. (find the smallest nonnegative angle.
When calculating the scalar and vector products, the angle between the vectors is taken into account. The dot product and inner product are other names for the scalar product.
Describe a vector ?In physics, a vector is a quantity with both direction and magnitude. It is often represented by such an arrow whose length was proportional to the size of the number and whose orientation is identical to that of the quantity. In science, anything with also a path and a magnitude is referred to as a vector. They are typically represented by pointing lines, each length of which denotes the size of the vector.
Describe a scalar ?Scalar quantities can be described by their size or magnitude alone and do not require any other information. So, 10 cm, 50 seconds, and 7 litres.
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A high fountain of water is located at the center of a circular pool as shown in the figure below. A student walks around the pool and measures its circumference to be 34.8 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be = 60.0°. How high is the fountain?
m
The height of the fountain is 9.6 m.
What is the radius of the pool?
The radius of the pool is calculated by applying the formula for circumference of a circle.
P = 2πr
where;
r is the radiusr = ( P ) / ( 2π )
r = ( 34.8 ) / ( 2π )
r = 5.54 m
The height of the fountain is calculated as follows;
the angle of elevation, radius of the pool and the height of the fountain forms a right triangle.
let the height of the fountain = h
tan 60 = h / r
h = r x tan 60
h = ( 5.54 m ) x tan 60
h = 9.6 m
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water as a resource unit review practice 1 of 91 of 9 itemspause question which of the following describes the relationship between population growth and the underground water supply?(1 point)
Increased population expansion directly increases the demand for resources like water. When the population's need for water exceeds the availability from sources on the surface, such as rivers and lakes underground water is tapped.
What connection is there between population and water?In example, population growth will reduce the amount of water per person accessible since increased per capita water usage brought on by development will raise water demand, placing stress on the local water supply.
What effects does population growth have on groundwater?Producing food Population growth results in increased water consumption as well as increased water requirements for food production. We will need to pump groundwater more quickly than it can be extracted in order to meet the demands for food production brought on by the rapid increase in population.
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The speed of light is ×2.998108/ms. How long does it take light to travel 90.cm?
Set the math up. But don't do any of it. Just leave your answer as a math expression.
Also, be sure your answer includes all the correct unit symbols.
Time=0.9/2.998*10^8 is the equation for how long it takes light to travel 90 cm.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. the speed at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
Here,
distance=90 cm=0.9 m
speed=2.998*10^8 m/s
thus time taken will be:
=distance/speed
time=0.9/2.998*10^8=0.10006 seconds
thus the expression is:
time=0.9/2.998*10^8
The expression for how long does it take light to travel 90 cm is time=0.9/2.998*10^8.
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until he was in his seventies, henri lamothe excited audiences by belly-flopping from a height of 9 m into 31 cm. of water. assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 60 kg, find the magnitudes of the impulse on him from the water.
The magnitude οf the impulse is −1120 Ns.
How to calculate the magnitude of the impulse?In its simplest form, an impulse is a fοrce that has been gradually integrated. By dividing the force's magnitude by the length of time it is applied, we can calculate the impulse's size for a force with a constant magnitude.
From the infοrmation given, the fοllowing can be deduced:
Height = 10m
Mass = 64kg
The kinetic energy is calculated as 1/2mv² while pοtential energy is calculated as mgh. Frοm the law of conversation:
[tex]\mathrm{ \dfrac{1}{2} mv^2 = mgh}[/tex]
[tex]\mathrm{v = \sqrt{2gh} }[/tex]
[tex]= \sqrt{2} \times \sqrt{9.8 } \times\sqrt{9}[/tex]
= 13.28 m/s
The change in velocity will be;
= 80(0 - 14)
= 80 × (-14)
= −1120 Ns
In cοnclusion, the magnitude οf the impulse is −1120 Ns.
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Determine the following quantities: (a) wavelength λ of a 300 GHz EM wave propagating in free space(b) frequency of an EM wave with λ = 0.1cm(c) dBm equivalent of 120 dB if 0dBm corresponds to 1mW = 10-3 W.
(a) The wavelength of a 300 GHz EM wave propagating in free space is 10 cm.
(b) The frequency of an EM wave with λ = 0.1cm is 3 x 10^7 MHz
(c) The dBm equivalent of 120 dB is 120 dBm if 0dBm corresponds to 1mW = 10^-3 W.
What is wavelength and determine frequency?(a) The wavelength of an EM wave is related to its frequency by the equation:λ = c/f, where λ is wavelength, c is the speed of light in a vacuum (approximately 3 x 10^8 m/s) and f is the frequency of the wave.Given the frequency of the wave is 300GHz, we can plug in the values to find the wavelength:λ = c/f = (3 x 10^8 m/s) / (300 x 10^9 Hz) = (3/300) x 10^-1 m = 0.01 m = 10 cm(b) The frequency of an EM wave is related to its wavelength by the equation:f = c/λ, where f is frequency, c is the speed of light in a vacuum (approximately 3 x 10^8 m/s) and λ is the wavelength of the wave.Given the wavelength of the wave is 0.1cm, we can plug in the values to find the frequency:f = c/λ = (3 x 10^8 m/s) / (0.1 x 10^-2 m) = 3 x 10^8 m/s / (0.1 x 10^-2 m) = 3 x 10^8 m/s / 0.1 x 10^-2 m = 3 x 10^8 m/s / 10^-2 m = 3 x 10^10 Hz = 3 x 10^7 MHz(c) dBm is a unit used to express power levels relative to one milliwatt. The equation to convert between dBm and watts (W) is:P(dBm) = 10 log10(P(W)/1mW)Given 0dBm corresponds to 1mW = 10^-3 W, we can use this equation to find the dBm equivalent of 120 dB :P(dBm) = 10 log10(120/1) = 120 dBmTo learn more about wavelength refer:
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A 300 GHz electromagnetic wave traveling through free space has a wavelength of 10 cm.
(b) An EM wave with = 0.1cm has a frequency of 3 x 10⁷ MHz.
(c) The dBm equivalent of 120 dB is 120 dBm if 0 dBm is equivalent to 1mW = 10 ⁻³W.
What is wavelength and how does frequency get determined?(a) The equation relates an EM wave's frequency to its wavelength:
= c/f, where f is the frequency of the wave, c is the vacuum speed of light (approximately 3 x 10⁸ m/s), and is the wavelength.
We can plug in the values to determine the wavelength since the wave has a frequency of 300 GHz:
= c/f = (3 x 10⁸ m/s) / (300 x 10⁹ Hz) = (3/300) x 10⁻¹ m = 0.01 m = 10 cm
(b) The following equation describes the relationship between an EM wave's frequency and wavelength: f = c/, where f is the frequency, c is the vacuum light speed (about 3 x 10⁸ m/s), and is the wave's wavelength.
We can plug in the values to determine the frequency because the wave's wavelength is 0.1 cm:
f = c/ = (3 x 10⁸ m/s) / (0.1 x 10⁻² m)
= (3 x 10⁸ m/s) / (0.1 x 10⁻² m)
= (3 x 10⁸ m/s) / (0.1 x 10⁻² m)
= (3 x 10¹⁰ Hz)
= (3 x 10⁷ MHz)
(c) The power level is expressed in terms of one milliwatt .The formula for converting dBm to watts (W) is as follows:
Given that 0 dBm corresponds to 1 mW = 10⁻³ W, we can use this equation to determine the dBm equivalent of 120 dB: P(dBm) = 10 log10(P(W)/1mW
P(dBm) equals 120 dBm for 10 log10(120/1).
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how long would it take a blue whale from one side of the pacific ocean to find the other at a speed of 5 mps for the 4000 miles it went
It would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.
What is the significance of the speed of an organism?The speed of the organism is determined by its body structure and how nature designed it, such as in some fast-swimming fish, which have different body designs than some slow-moving fish. Because of their speed, they can escape and flee predators.
Hence, it would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.
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a sector with central angle is cut from a circle of radius 12 inches (see figure), and the edges of the sector are brought together to form a cone. find the magnitude of such that the volume of the cone is a maximum.
The magnitude of θ such that the volume of the cone is a maximum is 56.58 degrees when a sector with central angle is cut from a circle of radius 12 inches.
Given the radius of circle (R) = 12 inches
Let the central angle (T) = θ
Volume of cone (V) = πr^2h/3
Let the slant height in cone = s
Let the height of cone = h
we know that for the cone, (r) = sT/(2π)
Then h = √(s^2 - r^2)
Therefore, V = π( sT/(2π) )^2√(s^2 - r^2)/3
To maximize V we need to find dV/dT such that dV/dT = 0
dV/dT = d/dT[π( sT/(2π) )^2√(s^2 - r^2)/3]
Let θ = T then dV/dθ = d/dθ[π( sθ/(2π) )^2√(s^2 - r^2)/3]
(2θs^3/4π)√[(4π^2-θ^2)/(4π^2)] - (θ^3s^3)/(4π√[(4π^2-θ^2)/(4π^2)]) = 0
(2θs^3/4π)√[(4π^2-θ^2)/(4π^2)] = (θ^3s^3)/(4π√[(4π^2-θ^2)/(4π^2)])
θ^2 = 4π^2/(4π^2+1)
θ = 56.58 degrees
Hence the magnitude of θ such that the volume of the cone is a maximum is 56.58 degrees.
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A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. If the maximum speed of the object is 2.23 m/s, and the maximum acceleration is 5.77 m/s2, find how much time elapses between a moment of maximum speed and the next moment of maximum acceleration.
(Answer should be in seconds)
Hint: What fraction of a period is the time between the maximum speed and acceleration? How are the maximum speed and acceleration related to the period of oscillation?
The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is 2.43 seconds.
What is the period between maximum speed and acceleration?The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is calculated as follows;
V (max) = 2πfA ------ (1)
a (max) = ( 2πf )² A ------ (2)
where;
f is the frequency of the oscillationA is the amplitude of the oscillationSince both equations have amplitude, A, we will make A the subject of the formula.
A = (V.max) / ( 2πf)
A = (a.max) / ( 2πf)²
(V.max) / ( 2πf) = (a.max) / ( 2πf)²
V.max = (a.max) / ( 2πf)
f = (a.max) / ( 2π x V.max)
Period, T, = 1 / f
T = ( 2π x V.max) / a.max
The period of the oscillation is calculated as follows;
T = ( 2π x 2.23 ) / ( 5.77 )
T = 2.43 seconds
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Two objects are traveling around different circular orbits with constant speed. They both have the same acceleration but object A is traveling twice as fast as object B. The orbit radius for
object A is _____ the orbit radius for object B
A. one-fourth
B. one-half
C. the same as
D. twice
E. four time
The orbit radius for object A is B. one-half the orbit radius for object B
If the velocity only changes in direction (constant speed), then its acceleration has constant magnitude and is called centripetal.
Do elliptical orbits have constant velocities?An orbit that is perfectly balanced and has a constant speed is called a circular orbit. There are countless different elliptical orbits where velocity and speed are variable.
The velocity of an item rotating in a circle at a constant speed changes. This is thus because velocity depends on both speed and direction as a vector variable. Even if its speed is constant, the object in orbit is accelerating because its velocity is changing.
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