ASK YOUR TEACHER PRACTICE ANOTHER A balloon is at a height of 40 meters, and is rising at the constant rate of 5 m/sec. A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the distance between the bicyclist and the balloon increasing 2 seconds later
Answers
The distance between the bicyclist and the balloon increasing 2 seconds later is 8.356 m/s.
Speed is defined as the rate at which a body covers a distance in a given amount of time. Mathematically, speed (v) is calculated by dividing the distance traveled (d) by the time taken (t): v = d / t
Given: the height of the balloon, h₀ = 40m,
rate of rising of the balloon, v₁ = 5 m/sec
speed of bicyclist, v₂ = 10 m/sec
At a later time t, the height of the balloon can be expressed as h(t) = 40 + 5t and the distance traveled by the bicyclist as x(t) = 10t
The distance D(t) between the balloon and the bicyclist at time t
D(t) = √((h(t))² + (x(t))²) , using the Pythagorean theorem
= √((40 + 5t)² + (10t)²)
To find the rate of change of D(t), we differentiate D(t) with respect to time:
dD/dt = (d/dt) √((40 + 5t)² + (10t)²)
putting t= 2 seconds, we get
dD/dt = 8.356 m/s.
Therefore, the distance between the bicyclist and the balloon increasing 2 seconds later is 8.356 m/s.
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Related Questions
multi choice
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
Answers
you body has converted potential energy to kinetic energy
Answer: It’s kinetic energy
Explanation: when you move your hand or foot, your body has converted potential energy into kinetic energy.
On a hot day, a child drinks all the water in a plastic bottle. She then screws the
cap back tightly on the bottle, so that the bottle contains only air. She throws the
bottle into a wastebasket, where the Sun shines on it. After a while in the Sun's rays,
the air in the bottle is much hotter than before.
cap screwed on
(i) State what has happened to the pressure of the air in the bottle.
Give a reason for your answer.
(ii) In terms of the behaviour of the air molecules, explain your answer
to a(i)
Answers
2. When the air in the bottle gets hot the air also expands. like all molecules they are always moving but the air inside the bottle moves a lot. The air molecules bump and crash into one another and on the bottle’s inner walls. The hotter the air gets the more moving and bumping occurs which I turn increase the pressure. Say you continue to apply heat to the bottle. If this is true the bottle will either explode or the threads of the bottle cap and bottle will give way for the air to escape.
What are the two parts of a force pair?
Answers
These two forces are called action and reaction forces and are the subject of Newton's third law of motion.
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Water flowing through an 8-cm-diameter pipe enters a porous section, as in fig. P3. 10, which allows a uniform radial velocity vw through the wall surfaces for a distance of 1. 2 m. If the entrance average velocity v1 is 12 m/s, find the exit velocity v2 if (a) vw
Answers
What is average speed?
Average velocity is outlined because the amendment in position or displacement (∆x) divided by the time intervals (∆t) within which the displacement occurs.
The average velocity will be positive or negative relying upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
For a suction velocity of Vw = 0.15 m/s
Cylindrical suction expanse.
Aw = 2π (0.04) (1.2) = 0.30 lbm2
Q1 = Qw+Q1
(12* π * (0.08)2 / 4 = (0.15)(0.30) + V2 π
(0.08)2 / 4
V2 = 3 m/s
Hence, the exit velocity is Vw = 0.15 m/s
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The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, which one of the following statements concerning the resistance of the wire is true?.
Answers
The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, the resistance is not changed. Thus, option A is correct.
What is current?The current is the stream of charges which flow inside the conductors when connected across the end of voltage.
From Ohm's law, V =IR
Here, R is the proportionality constant called the resistance of the resistor.
The complete question is given in the image attached.
The potential difference across the ends of a wire is doubled in magnitude.2V = IRR =2 V/IAs, the resistance is a constant value, it does not change.
The following statements concerning the resistance of the wire true is :
The resistance is not changed
Thus, the correct option is A.
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cells are considered the smallest part of an organsim that can?
Answers
Una muestra de agua de 250g de agua se caliento desde 10°C hasta 60°C calcula la cantidad de calor absorbido por el agua el calor especifico del agua es de 4186J/Kj.K
Answers
Answer:
Calor absorbido, Q = 52325 Joules
Explanation:
Dados los siguientes datos;
Masa = 250g to kg = 250/1000 = 0.25kg
Temperatura inicial, T1 = 10°C to Kelvin = 273 + 10 = 283K
Temperatura final, T2 = 60°C to Kelvin = 273 + 60 = 333K
Capacidad calorífica específica = 4186 j/kg.K.
Para encontrar la cantidad de calor necesaria;
La capacidad calorífica viene dada por la fórmula;
\( Q = mct \)
Dónde;
Q representa la capacidad calorífica o la cantidad de calor.
m representa la masa de un objeto.
c representa la capacidad calorífica específica del agua.
dt representa el cambio de temperatura.
dt = T2 - T1
dt = 333 - 283
dt = 50 K
Sustituyendo en la fórmula, tenemos;
\( Q = 0.25*4186*50\)
\( Q = 52325 \)
Calor absorbido, Q = 52325 Joules
Can someone pls help me is for my study guide final?
Answers
Answer:
displacement means moving something or the occupation by a submerged body part or part of the body
a. Discuss the 1) coastal engineering projects, 2) phases of a coastal engineering project. b. A wave is approaching perpendicular to the 500 m long breakwater. The incident wave is 1.5 m high and 30 m long. Estimate the height of the wave on 1) the back side of the breakwater at a distance of 250 m from one of the ends, 3) at a distance of 60 m from one of the edges along the time which is at a 60-degree angle with the breakwater. c. A wave in water that is 15 m deep has a period of 11 s and a height of 1.4 m. a) calculate the water particle velocity and the pressure at a point 0 m ahead of the wave crest and 2 m below the still water level, b) calculate the horizontal and vertical displacement of the water particle orbit at this point
Answers
Coastal engineering projects involve the design and construction of structures to manage and protect coastal areas from erosion, floods, and other natural hazards.
In a wave approaching perpendicular to a 500 m long breakwater, the height of the wave on the backside at a distance of 250 m from one of the ends can be estimated using wave transformation principles.
However, the height of the wave at a distance of 60 m from one of the edges along a 60-degree angle with the breakwater requires additional information, such as wave direction and wave transformation equations, to provide an accurate estimate.
For a wave in water that is 15 m deep with a period of 11 s and a height of 1.4 m, the water particle velocity and pressure at a point 0 m ahead of the wave crest and 2 m below the still water level can be calculated using wave theory equations. The horizontal and vertical displacement of the water particle orbit at this point can also be determined using the properties of wave motion and particle orbits.
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Can someone help me
Answers
Answer:
C?
Explanation:
Una esfera de radio 0.4m tiene una masa de 300kg, se desea sumergir en agua para saber si flota o no. En este ejercicio use la densidad del agua en kg/m^3.
Answers
Answer:
La esfera no flotará pero se hundirá cuando se coloque en el agua porque su densidad es mayor que la del agua.
Explanation:
De la pregunta anterior, se obtuvieron los siguientes datos:
Radio (r) de la esfera = 0,4 m
Masa de esfera = 300 Kg
Densidad del agua = 1000 Kg / m³
A continuación, determinaremos el volumen de la esfera. Esto se puede obtener de la siguiente manera:
Radio (r) de la esfera = 0,4 m
Pi (π) = 3,14
Volumen (V) de la esfera =?
V = 4/3 πr³
V = 4/3 × 3,14 × 0,4³
V = 12,56 / 3 × 0,064
V = 0,27 m³
A continuación, determinaremos la densidad de la esfera. Esto se puede obtener como se ilustra a continuación:
Masa de esfera = 300 Kg
Volumen de esfera = 0,27 m³
Densidad de esfera =?
Densidad = masa / volumen
Densidad de la esfera = 300 / 0,27
Densidad de la esfera = 1111,11 Kg / m³
Comparando la densidad del agua y la de la esfera.
Sustancia >>>>>>> Densidad
Agua >>>>>>>>>>> 1000 Kg / m³
Esfera >>>>>>>>>> 1111,11 Kg / m³
De la ilustración anterior, podemos ver que la densidad de la esfera es mayor que la del agua.
Por lo tanto, la esfera no flotará sino que se hundirá cuando se coloque en el agua porque su densidad es mayor que la del agua.
A current of 1.50A runs through a 2.00Ω resistor. What is the potential drop across the resistor?
Answers
According to the question the potential drop across the resistor is 3.00 volts.
A resistor is an electrical component that is used to impede or restrict the flow of electric current in a circuit. It is designed to have a specific resistance value, which is measured in ohms (Ω).
Resistors are typically made of materials such as carbon, metal film, or wirewound elements, which offer a certain level of electrical resistance.
The potential drop across the resistor can be calculated using Ohm's Law, which states that the potential difference (V) across a resistor is equal to the current (I) multiplied by the resistance (R).
In this case, the current is 1.50A and the resistance is 2.00Ω. Therefore, the potential drop across the resistor can be calculated as:
V = I * R
V = 1.50A * 2.00Ω
V = 3.00V
Therefore, the potential drop across the resistor is 3.00 volts.
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what is a Homonym for a type of cloak?
Answers
Answer:
In both cases, the sound and spelling are the same, and only the definition changes. Here are 30 more examples of homonyms. Note that some homonyms have more than two meanings (for example, "tender" can also mean sensitive, easily chewed, or even refer to chicken strips), but to keep things simple we've only included two in our homonyms list:
Make a timeline that lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Your timeline has to include the physicists, their pictures and main laws and discoveries .
(HELP ME I'LL BRAIN E-LIST I SWEAR)
Answers
This timeline lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Pre-scientific16th century17th century18th century19th century20th century21st centuryWhat is definition of timeline?
A timeline is a display of a list of chronicle in chronological order. It is usually a graphic design showing a long bar tagged with dates paralleling it, and usually present day chronicle.
Timelines can use any appropriate scale representing time, suiting the subject and statements; many use a linear dimension, in which a unit of distance is equal to a set quantity of time. This timescale is incumbent on the chronicle in the timeline.
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Just helping others receive points :) ! I really do need help tho , you don’t have to answer all of them !!
Answers
Answer:
1. Color, Streak, Luster, Cleavage and fracture, Density, Hardness, Special properties.
2. The term luster refers to the appearance of a fresh surface of a mineral in reflected light. The two basic types of luster are metallic and non-metallic.
3. You test the hardness of a mineral by scratching its surface with a mineral of a known hardness. Mineralogists use Mohs Scale as a reference for mineral hardness. The scale lists common minerals in order of their relative hardness. You can use the minerals in the scale to test the hardness of an unknown mineral.
4. Color is also an unreliable identification clue because weathered surfaces may hide the color of minerals. For example, the golden color of iron pyrite ranges from dark yellow to black when iron pyrite is weathered. When examining a mineral for color, you should inspect only the mineral's freshly exposed surfaces.
5. Most minerals can be characterized and classified by their unique physical properties: hardness, luster, color, streak, specific gravity, cleavage, fracture, and tenacity.
6. Magnets attract minerals that contain iron. Nonsilicate minerals that contain iron are more likely to be magnetic than other nonsilicate minerals are so testing to see if a mineral is magnetic can show what an element is made of.
Hope this helps :)
2. Determine the number of significant figures in each of the following:
a) 3427 b) 0.00456 c) 123,453
d) 172 e) 0.000984 f) 0.502
g) 3100.0 x 102 h) 0.0114 x 104 i) 107.2
j) 0.0000455 k) 2205.2 l) 30.0 x 10-2
m) 0.982 x 10-3 n) 0.0473 o) 650.502
p) 3.03 x 10-1 q) 20.4 x 105 r) 1.29
s) 0.00565 t) 1362205.2 u) 450.0 x 103
v) 1000 x 10-3 w) 546,000 x) 546,000
Answers
Answer:
a, 4
b, 3
c, 6
d, 3
e, 3
f, 3
g, ambiguous
h,
consider a planet whose rotation axis is not tilted with respect to its orbital plane. what are the seasons like on this planet?
Answers
As the planet orbits the sun, the angle at which the sunlight hits the planet's surface may change slightly, but this does not result in significant changes in the amount of sunlight that the planet receives.
On a planet whose rotation axis is not tilted with respect to its orbital plane, the seasons are not pronounced. This is because the amount of sunlight that the planet receives does not change significantly throughout the year.
In contrast, on a planet with a tilted rotation axis, the seasons are much more pronounced. As the planet orbits the sun, the angle at which the sunlight hits the planet's surface changes significantly, resulting in longer periods of sunlight in certain parts of the planet and shorter periods of sunlight in other parts. This leads to significant differences in temperature and weather patterns, resulting in the four distinct seasons that we experience on Earth.
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An object of mass m is hanging by a string from the ceiling of an elevator. The elevator is moving up at constant speed. What is the tension in the string?.
Answers
The tension in the string, when the elevator is moving with constant speed is equal to the product of mass and gravitational force.
Tension is the pulling force carried by the flexible mediums like ropes, cables and string.
The tension in the body caused by the weight of the hanging body is the net force acting on the body.
For a body of mass (m) suspended on a string, the tension force of the string can be entered in three ways,
The tension in the string when the body is at rest or moving at a constant speed. At rest, the tension will be the product of the gravitational force times time. It can be given as, T = mg.Tension in the string when the body is moving upwards. When the body is moving upwards, both gravitational force and acceleration force are acting on it and the magnitude of the tension will be due to the sum of the two forces. This can be written as, T = m(g + a).Tension in the string as the body moves down. As the body moves down, differentiate the gravitational and acceleration forces acting on it. It can be given as, T = m(g - a)Because the object is hanging by a string from the ceiling of the elevator and the elevator is moving upward at a constant speed.
As the elevator moves at a constant speed. Thus, the magnitude of the tension in the string, T = mg.
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A car traveling 127 m/s is 7895 meters away from Bojangles. How long will it take the car to reach Bojangles
Answers
Answer:
10s
Explanation:
Which of the following provide electrical resistance in a simple circuit? *
a battery
a wall outlet
a voltage source
a light bulb
Answers
Answer:
A light bulb
Explanation:
Sorry of it wrong
Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.
Answers
The star is moving away from Earth at a velocity of 1.8 x 106 m/s.
The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.
The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.
The velocity of a star moving away from Earth can be determined using the equation:
v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).
In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.
The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.
Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.
Therefore, velocity of star 1.8 x 106 m/s.
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The transfer of heat by the movement of a fluid is called:
A.
Conduction
B.
Radiation
C.
Convection PLS HELP ASAP!!!
Answers
Answer: C
Explanation:
Convective heat transfer, or convection, is the transfer of heat from one place to another by the movement of fluids, a process that is essentially the transfer of heat via mass transfer.
Neglecting reduced mass effects, what optical transition in the he^+ spectrum would have the same wavelength as the first lyman transition of hydrogen ( n = 2 to n = 1 )
a.n = 2 to n = 1
b.n = 3 to n = 1
c.n = 4 to n = 2
d.none of the above
Answers
The correct option is d. none of the above. The first Lyman transition in hydrogen corresponds to an electron transitioning from the n = 2 energy level to the n = 1 energy level.
The first Lyman transition in hydrogen corresponds to an electron transitioning from the n = 2 energy level to the n = 1 energy level. In the case of helium ion (He^+), neglecting reduced mass effects means considering a single electron orbiting a nucleus with a charge of +2. The energy levels and transitions in He^+ are different from those in hydrogen.
In He^+, the energy levels are given by the formula:
E = -13.6 eV / (n^2 - Z^2),
where Z is the atomic number (2 for He^+). The transition wavelengths depend on the energy differences between the initial and final states.
Since the energy levels and transitions in He^+ are different from hydrogen, none of the given options (a, b, c) match the wavelength of the first Lyman transition in hydrogen (n = 2 to n = 1).
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16. What will happen If a fast-moving car making a loud noise drives away
from a person?
O A. The frequency of the sound waves reaching the person's ear will be greater
than the frequency of the waves leaving the car.
OB. The pitch of the sound being heard by the person will appear to be lower
than the pitch of the source.
OC. The pitch of the sound being heard by the person will appear to be higher
than the pitch of the source.
O D. The pitch and frequency of the sound waves reaching the person's ear will
remain unchanged.
Answers
The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.
Thus, When an object's vibrations pass through a medium and hit the human eardrum, sound is created. According to physics, sound is created as a pressure wave.
When an object vibrates, the air molecules in its immediate vicinity also vibrate, starting a cascade of sound wave oscillations across the medium.
The physics definition acknowledges that sound exists irrespective of an individual's reception, in contrast to the physiological definition, which also takes into account how a subject perceives sound.
Thus, The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.
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An object accelerates from rest with a constant acceleration of 7.5m/s^2. How fast will it be traveling after it goes 87m?
Answers
Answer:
Below
Explanation:
To find the final velocity Vf of an object you can use this formula :
Vf = √Vi^2 + 2ad
= √0m/s^2 + 2(7.5m/s^2)(87m)
= 36.1247.... m/s
The final velocity of this object is 36 m/s
Hope this helps! Best of luck <3
Cytoplasm:
A. Is the spherical organelle in the center of the cell
B. Is a sac-like structure
C. Surrounds organelles
D. Is the jelly-like fluid within a cell
Answers
Answer: D. Is the jelly like fluid within a cell
watch the cell rap
The block slides down an inclined track to a infinite length flat surface. The block comes to a stop on its own. Is energy being conserved or not conserved?
Answers
Energy is conserved as the block slides down because kinetic energy is converted to heat energy.
Is energy conserved?We are looking at the principle of the conservation of energy. We know that the principle of the conservation of energy states that energy can neither be created nor destroyed but it can be converted from one form to another.
Now we know that the energy of the block would remain constant. Given the fact that energy is not created or destroyed, we can see that as the block is sliding down, the block would be loosing energy thus it would become slower. This is because of the fact that friction is working against the movement of the block and the energy that is lost is converted to heat.
Thus we can say that the energy is converted to heat as the the block is slowing down thus energy is conserved.
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Which observers on earth can see polaris on a clear night?.
Answers
Answer:
Polaris is the north star and observers in the northern hemisphere can see this star on a clear night.
NASA's Langley Research Center has been experimenting with the use of air bags to soften the landings of crew exploration vehicles (CEV) on land. What stopping time will be required in order to safely stop a 7250 kg CEV moving at 7.65 m/s with an average force of 426000 N (an average force of 6 G's)
Answers
The stopping time will be 0.13 second required in order to safely stop a CEV .
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
The average force acting on CEV is = 426000 N.
Mass of the CEV is = 7250 kg.
Initial speed of the CEV is = 7.65 m/s
Hence, deceleration of the CEV is = ( 426000 N ÷ 7250 kg) = 58.75 m/s²
Hence, required stopping time = 7.65 m/s ÷ 58.75 m/s² = 0.13 second.
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Which term below best matches this definition - a period in European history when many educated people stressed the importance of learning and reasoning; education was considered the key to understanding and solving society's problems
Answers
Answer:
The Enlightenment.
Explanation:
The Enlightenment took place during the eighteen century and it typically involved a period of philosophical, cultural and intellectual movement in which ideas on nature, reason, humanity and God were emphasized on greatly over science and superstition through meetings that were held at coffeeshops, scientific academies, literary salons, masonic lodges, etc. Some of the influential philosophers of the enlightenment were Adam Smith, John Locke, Jean Jacques Rousseau, David Hume, Baruch Spinoza, Montesquieu, Hugo Grotius, Denis Diderot, Gottfried Wilhelm, Cesare Beccaria, Immanuel Kant etc. The enlightenment was also known as the age of reason or the age of enlightenment.
Hence, the enlightenment was a period in European history when many educated people stressed the importance of learning and reasoning; education was considered the key to understanding and solving society's problems.