Answer:
33= 0+10 * t so t = 33 / 10 = 3.3 hrs
the answer is in the number 9.
A rocket is launched from the surface of the earth with a speed of 9.0x103 m/s. What is the maximum altitude reached by the rocket? (MEarth=5.98x1024 kg, REarth=6.37x106 m)
From the Law of conservation of energy, we know that the sum of the kinetic and potential energy of the rocket is the same at the surface of the Earth and at the maximum altitude. Nevertheless, the kinetic energy of the rocket when it is at the maximum altitude is 0:
\(\begin{gathered} K_1+U_1=K_2+U_2 \\ K_2=0 \\ \Rightarrow K_1+U_1=U_2 \end{gathered}\)The kinetic energy is given by:
\(K=\frac{1}{2}mv^2\)On the other hand, the gravitational potential energy for big changes in altitude (comparable to the radius of the Earth) is given by the expression:
\(U=-\frac{GMm}{r}\)Where M is the mass of the Earth, m is the mass of the rocket, r is the distance from the center of the Earth to the rocket and G is the gravitational constant:
\(G=6.67\times10^{-11}N\cdot\frac{m^2}{\operatorname{kg}}\)At the beggining of the movement, the value of r corresponds to the radius of the Earth:
\(U_1=-\frac{GMm}{R_E}\)At the end of the movement, the value of r corresponds to the radius of the Earth plus the maximum altitude h:
\(U_2=-\frac{GMm}{R_E+h_{}}\)Substitute the expressions for U_1, K_1 and U_2 and simplify the equation by eliminating the factor m:
\(\begin{gathered} \frac{1}{2}mv^2-\frac{GMm}{R_E}=-\frac{GMm}{R_E+h} \\ \Rightarrow\frac{1}{2}v^2-\frac{GM}{R_E}=-\frac{GM}{R_E+h} \end{gathered}\)Isolate the term GM/(R_E+h):
\(\Rightarrow\frac{GM}{R_E+h}=\frac{GM}{R_E_{}}-\frac{1}{2}v^2\)Divide both sides by the factor GM:
\(\Rightarrow\frac{1}{R_E+h}=\frac{1}{R_E}-\frac{v^2}{2GM}\)Take the reciprocal to both sides of the equation:
\(\Rightarrow R_E+h=\frac{1}{\frac{1}{R_E}-\frac{v^2}{2GM}}\)Isolate h:
\(h=\frac{1}{\frac{1}{R_E}-\frac{v^2}{2GM}}-R_E\)Substitute the values of each variable: R_E=6.37x10^6m, M=5.98x10^24kg, G=6.67x10^-11 N*m^2/kg^2, and v=9.0x10^-3 m/s:
\(\begin{gathered} h=\frac{1}{\frac{1}{6.37\times10^6m}-\frac{(9.0\times10^3\cdot\frac{m}{s})^2}{2(6.67\times10^{-11}N\cdot\frac{m^2}{kg^2})(5.98\times10^{24}kg)}}-6.37\times10^6m \\ =18.03\times10^6m-6.37\times10^6m \\ =11.7\times10^6m \end{gathered}\)Therefore, the maximum altitude reached by a rocket with an initial speed of 9.0x10^3m is:
\(11.7\times10^6m\)Find the missing spaces in the charts below! Please!
Answer:
Zinc- Zn
Mass Numbers:
Tin-118.71 u
Zinc- 65.38
Protons:
Tin-50
Atomic number zinc 45.38
Zinc has 30 electrons
Tin has 50 electrons
35 neutrons in zinc
iodine-
atomic number- 53
78 neutrons
cl-1 is chlorine
atomic number 17
18 neutrons
17 electrons
atomic number 35 is bromine
symbol Br
35 protons
45 neutrons
35 electrons
Aluminium
protons and electrons 13
neutrons 14
atomic number 14
fe+2
26 protons
24 electrons
30 neutrons
ferrous iron
Cu+1 copper
63.546 mass number
proton and electron 29
neutron 35
A wheel with radius r rotates freely about its axle with initial angular speed ωi. A point on the wheel's rim moves at linear speed v.
Suddenly, the wheel accelerates so the point moves at linear speed 3v. The final angular speed is ωf.
How does the angular speed of the wheel change?
Answer:
\(\dfrac{2\omega_i}{t}\)
Explanation:
r = Radius of wheel
v = Initial linear speed
3v = Final linear speed
Initial angular speed is given by
\(\omega_i=\dfrac{v}{r}\)
Final angular speed after time \(t\) is given by
\(\omega_f=\dfrac{3v}{r}\\\Rightarrow \omega_f=3\dfrac{v}{r}=3\omega_i\)
The angular acceleration of the wheel will give us how the angular speed of the wheel changes.
From the equations of rotational motion we have
\(\omega_f=\omega_i+\alpha t\\\Rightarrow 3\omega_i=\omega_i+\alpha t\\\Rightarrow \alpha=\dfrac{3\omega_i-\omega_i}{t}\\\Rightarrow \alpha=\dfrac{2\omega_i}{t}\)
The acceleration wheel is \(\dfrac{2\omega_i}{t}\).
Answer:increases by a factor of 3
Explanation: just trust me bro
an artificial satellite revolves around the earth in circular orbit which quantity remains constant
A. angular momentum
B. linear velocity
C. angular displacement
D. non of the above
Answer:
Angular Momentum = M * V * R
Angular momentum is constant if there is no force applied along the direction of motion, A is correct here
Identify the smallest measurement.
a) attometer
b) nanometer
c) centimeter
d) megameter
e) petameter
Answer:
Attometer
Explanation:
an attometer is the smallest unit of measurement.
Hope it helped!
Gilligan is spotted marooned on an island. A pilot wants to drop a care package to him. At what horizontal
distance should he drop the package if he has an airspeed of 100.0 m/s and is flying at an elevation of 225.0
m?
Please show work
The horizontal distance at which the pilot should drop the care package is 1478.5 m, and the altitude of the airplane and the height of the package above the ground are represented by the vertical distance.
The most important details in this text are the equations used to determine the horizontal distance at which the pilot should drop the care package. The horizontal distance is x m, and the altitude of the airplane and the height of the package above the ground are represented by the vertical distance. Pythagoras' theorem states that the distance travelled by the package in time t is given by (100t)2 = x2 + (225 + h)2 and the time required by the package to reach the ground is given by (1/2)gt2 (using s = ut + (1/2)gt2). Substituting the value of t in the expression for x2 from the above equation, x2 = 1002 4 225/g2 - (225 + h)2. On simplifying the above expression, x2 = 2,236,725 - 50,625 = 2,186,100.
Taking the square root of both sides of the above expression, x = 1478.5 m. The correct option is the first one.
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In the sketch to the right, a long straight wire is in the plane of a rectangular conducting wire loop. The current in the straight wire is up. At some point the current in the straight wire starts to increase in magnitude. This increased current leads to an induced current in the wire loop. In which direction will the induced current in the wire loop be? Explain how you reached this conclusion. How would your answer be different if the wire loop was on the left side of the wire instead of the right side?
The direction of the induced current in the wire loop is anti-clockwise.
The direction of the induced current if the wire loop was on the left side of the wire is clockwise.
Lenz's law and the direction of the induced current are the key concepts needed to address this issue.
To determine the direction of the induced current under various circumstances, use Lenz's law.
The induced emf of the coil is proportional to the negative of the rate of change of magnetic flux, according to Faraday's law.
The following expression represents the typical emf that is generated in the coil during the course of the time period: \($$\varepsilon=-\frac{\Delta \Phi}{\Delta t}$$\)
Here, \($\varepsilon$\) is the average emf that is induced in the coil during the time interval and \($\Delta \Phi / \Delta t$\) is the rate of change of magnetic flux.
A magnetic field is induced in the rectangular loop as a result of the current in the wire. The plane is the intended target of this magnetic field.
As the current in the wire grows, the magnetic flux in the rectangular coil rises.
An emf and current are induced by Faraday's law.
Following is noted from Lenz's law:
The inwards growing flux is opposed by the generated current. Therefore, the induced current must flow counterclockwise in order to meet this.
When the rectangular loop is kept to the left of the wire, the magnetic flux will be directed outward.
If the wire loop was on the left side of the wire, the induced current would flow clockwise.
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Calculate the cross-sectional area of a cylinder of radius 25 mm
Answer:
12.5
Explanation:
may i be marked brainliest?
What is the voltage of a source which provides 12.0 J to each Coulomb of charge
present?
The voltage of the source is 12 Volts or 12 Joules per Coulomb.
The difference in electric potential between two points is known as voltage or electric potential difference.
In a static electric field, this difference is defined as the amount of work per unit of charge required to move a test charge between the two points.
Work per unit charge is expressed in SI units as joules per coulomb, with 1 volt equaling 1 joule of work per 1 coulomb of charge.
The voltage or potential difference between two points in a system can be measured using a voltmeter.
Given in the question
Energy provided = 12 J
Charge = 1 Coulomb
We know Voltage = (Energy or Work done)/(Charge)
Put in the value, we get
Voltage = 12/1 Volt or J/C
Voltage = 12 Volt
Hence, the voltage of the source is 12 Volts or 12 Joules per Coulomb.
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T/F : your camera’s zoom lens has an adjustable focal length ranging from 75 to 150 mm.
True. A zoom lens is a lens that has a variable focal length, which allows the photographer to zoom in or out by adjusting the lens.
The focal length of a lens is the distance between the lens and the camera’s image sensor when the lens is focused at infinity. A focal length of 75mm to 150mm would be considered a telephoto zoom lens, which is commonly used for portrait photography, sports, and wildlife photography. The longer the focal length, the narrower the angle of view, which means that the photographer can capture distant objects in greater detail. However, a longer focal length also means that the lens will be heavier and more expensive. It is important to note that not all zoom lenses have the same range of focal lengths, and some lenses may have a fixed focal length.
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One drops a penny from top of the Empire State Building on the ground below. The hight of the Empire State Building is 443m How long will it take for a penny yo strike the ground assuming no air resistance
Answer:
See below
Explanation:
Assuming no resistance
DISTANCE = 1/2 a t^2
443 = 1/2 (9.81)t^2 Shows t = 9.5 seconds
An excited hydrogen atom could, in principle, have a radius of 1.00 mm. What would be the value of n for a Bohr orbit of this size? What would its energy be?
The value of n for a Bohr orbit with a radius of 1.00 mm is approximately 137.
In the Bohr model of the hydrogen atom, the radius of the electron orbit is given by the formula:
r = (0.529 Å) * n^2 / Z
Where:
r is the radius of the orbit
n is the principal quantum number
Z is the atomic number (which is 1 for hydrogen)
Given that the radius of the orbit is 1.00 mm, we can convert it to angstroms (Å) since the Bohr radius is typically expressed in angstroms. 1 mm is equal to 10,000 Å.
r = 1.00 mm = 10,000 Å
Plugging the values into the formula, we have:
10,000 Å = (0.529 Å) * n^2 / 1
Simplifying the equation:
n^2 = 10,000 Å / 0.529 Å
n^2 ≈ 18,913
To find the value of n, we take the square root of both sides:
n ≈ √18,913
n ≈ 137.43
Since the principal quantum number, n, must be a positive integer, we round it to the nearest whole number:
n ≈ 137
To determine the energy of the excited hydrogen atom in this orbit, we use the formula for the energy of the hydrogen atom in the Bohr model:
E = -13.6 eV / n^2
Plugging in the value of n:
E = -13.6 eV / (137^2)
E ≈ -13.6 eV / 18,769
E ≈ -7.25 × 10^-4 eV
The energy of the excited hydrogen atom in this orbit is approximately -7.25 × 10^-4 eV. The negative sign indicates that the electron is in an excited state with higher energy than the ground state.
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Water exists as ice, water or steam. (a) Complete the sentences. Choose the answers from the box. ice steam water The particles are arranged in a regular pattern in ____________________ . The particles are close together but not in a pattern in ____________________ . The particles move quickly in all directions in ____________________ .
Explanation:
The options are; Ice Steam and Water.
The state of matter associated with the options are;
Ice - Solid
Steam - Gas
Water- Liquid
The particles are arranged in a regular pattern in ____________________
Among all the state of matter, the particles are closely packed and in an ordered manner is observed in the solid state - Ice
The particles are close together but not in a pattern in ____________________
In the liquid state of matter, the particles are not as tightly bounded as that of the solid. Hence they are able to still move around a bit. - Water
The particles move quickly in all directions in ____________________
The particles of the gaseous state move in all directions colliding with each other and the walls of the container. - Steam
A Carnot engine whose heat sink is at 27degree has an efficiency of 40% by how many degree should the temperature of source be change to increase the efficiency by 10% of the original efficiency
To increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value
To solve this problem
The efficiency of a Carnot engine is given by:
Efficiency = 1 - (Tc/Th)
Where
Tc is the temperature of the heat sink Th is the temperature of the heat sourceIn this case, the efficiency of the engine is 40%, which can be expressed as 0.4 in decimal form. Therefore:
0.4 = 1 - (Tc/Th)
Rearranging this equation, we get:
Tc/Th = 0.6
We want to increase the efficiency by 10% of the original efficiency. This means that the new efficiency will be :
0.4 + 0.1(0.4) = 0.44
We can use this new efficiency to find the new ratio of Tc/Th:
0.44 = 1 - (Tc_new/Th_new)
Tc_new/Th_new = 0.56
Now we need to find by how many degrees the temperature of the heat source should change to achieve this new ratio of temperatures. We can set up an equation using the two ratios of temperatures:
(Tc/Th) / (Tc_new/Th_new) = 0.6 / 0.56
Substituting the first ratio we found earlier and simplifying, we get:
0.6 / (Th_new/Th) = 0.6 / 0.56
Th_new/Th = 0.56/0.6
Th_new/Th = 0.933
Multiplying both sides by Th, we get:
Th_new = 0.933 Th
So the temperature of the heat source should be increased by:
ΔT = Th_new - Th = 0.933 Th - Th = 0.067 Th
Where ΔT is the change in temperature and Th is the original temperature of the heat source.
Therefore, to increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value.
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Calculate the cardiac output if your heart rate is 90 bpm and diostolic volume is 120 ml and in systolic volume is 30 ml.
The cardiac output is 180ml/min.
What is Stroke volume(SV)?
Stroke volume is the volume of blood pumped out of the left ventricle of the heart during each systolic cardiac contraction.SV = End diastolic volume (EDV) - End systolic volume (ESV)
SV = 120ml - 30ml
SV = 90ml
What is Cardiac Output?
Cardiac output (CO) is the blood volume the heart pumps through the systemic circulation over a period measured in litres per minute.CO = Stroke volume(SV) x Heart rate (HR)
CO = 90ml x 90bpm
CO = 180ml/min
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Velocity vs time given information in the velocity vs time graph
The velocity vs. time graph provides information about how the velocity of an object changes over time.
The velocity vs. time graph is a graphical representation of the object's velocity at different points in time. The graph consists of two axes: the vertical axis represents velocity, and the horizontal axis represents time. By examining the graph, you can determine various characteristics of the object's motion.
For example, a positive slope on the graph indicates that the object is moving in a positive direction with increasing velocity. A negative slope indicates motion in the opposite direction or decreasing velocity.
A horizontal line represents constant velocity, as the slope is zero. The steepness of the slope indicates the rate at which the velocity is changing. A steeper slope indicates a faster change in velocity.
The velocity vs. time graph is a valuable tool in understanding the motion of objects. By analyzing the graph's shape and slope, you can determine important information such as acceleration, deceleration, constant velocity, and direction of motion.
It provides a visual representation that aids in interpreting and predicting an object's motion over time.
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The world’s fastest elevator is in Taipei, Taiwan. It can lift passengers 1,010 m in 39 s. What is the speed of this elevator?
Answer: 25.90 m/sec
Explanation:
Speed = Distance / Time
Speed = 1010 / 39
Speed = 25.90 m/s
A 70 kg astronaut floating in an orbiting space station throws a 1.0 kg water bottle across the room at the speed of 8 m/s. How much force did it take to move the bottle?
Answer:
Explanation:
According to Newton's third law of motion, every action has an equal and opposite reaction. When the astronaut throws the water bottle, the bottle exerts a force on the astronaut in the opposite direction. Therefore, we can consider the force exerted on the water bottle to be equal in magnitude to the force exerted on the astronaut in the opposite direction.
To calculate the force exerted on the water bottle, we can use the formula:
Force = mass x acceleration
The mass of the water bottle is 1.0 kg, and its initial speed is 8 m/s. We can assume that the space station is in a state of free-fall, which means that the acceleration due to gravity is negligible.
Therefore, the force required to move the water bottle is:
Force = mass x acceleration
= 1.0 kg x 8 m/s
= 8 N
Therefore, it took a force of 8 Newtons to move the water bottle.
If the half life of a decaying isotope is 10 years, which statement is true after 8 years
Answer:
is suppoesd to say after 20 yrs
Explanation:
What does negative acceleration mean.
If the distance an object travels and the time it takes to travel the distance are known, which of the following can be calculated?
Answer:
speed
Explanation:
The distance traveled and time, the average speed of an object can be calculated. The correct answer would be option (A).
What is the average speed?Average speed is defined as the total distance traveled by an object divided by the total time it took to travel that distance. This is a measure of the overall pace of an object's motion over a period of time.
Instantaneous speed is the limit of the average speed as the time interval approaches zero. In other words, it's the rate of change of an object's position with respect to time at a specific moment.
Average acceleration is defined as the change in velocity (speed in a certain direction) divided by the time interval over which that change occurred. This is a measure of the rate of change of an object's speed over a period of time.
Instantaneous acceleration is the limit of the average acceleration as the time interval approaches zero. In other words, it's the rate of change of an object's velocity at a specific moment.
In summary, with the given information of distance traveled and time, the average speed of an object can be calculated, but the instantaneous speed, average acceleration, and instantaneous acceleration cannot be calculated.
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The complete question would be as:
If the distance an object travels and the time it takes to travel the distance are known, which of the following can be calculated?
A. Average speed
B. Instantaneous speed
C. Average acceleration
D. Instantaneous acceleration
Please help, thanks!
\( \huge \boxed {\mathfrak{ \color{gold}Answer ࿐ }}\)
The wave having the lowest frequency is :
=》A. (a)
How do you score a goal in team handball ?
Answer:a goal is scored by throwing the ball into the goal post and is confirmed by deciding that’s if the ball has hit the tape mark or not
Explanation:
100 POINTS AND BRAINLIEST IF YOU CAN ANSWER THIS QUESTION
What variables would be required for a computational model that predicts change in the energy of a falling object?
A. acceleration, speed, mass
B. x, y, z
C. momentum, speed, mass
D. height, speed, mass
Answer:
Height, speed, mass
Explanation:
Answer:
D height, speed, mass
Explanation:
I took this test early november
Through which gas in the table will sound waves travel faster than they would
travel through ammonia?
Alr (dry)
Ammonla
Methane
Nitrous
oxide
Argon
346
415
450
263
323
Speed of
sound
(m/s)
A. Air
B. Methane
C. Argon
O D. Nitrous oxide
As per the given data of velocity of sound wave through different gas medium, sound wave travels through methane gas more fastly than through ammonia.
What is sound wave ?Sound waves are longitudinal mechanical waves passing through a medium. In sound waves,, the oscillation of particles is in the same direction of wave propagation. Such waves are called longitudinal waves.
Sound waves travels through air with a speed of 340 m/s. The speed of the wave through different medium depends on the density of the medium as well as frequency.
The speed of sound wave through ammonia gas is 415 m/s. Speed through methane gas is 450 m/s. Thus, sound waves travels fastly through methane than through ammonia.
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what is the central mass of a apple ?
PLEASE HELP ME I AM TIMED!
Answer:
violet has the highest frequency
Explanation:
An athlete runs 600 m in 2 minutes and the next 1000 m in 1 minute on the same straight
path. What is his average speed and average velocity?
Answer:
Explanation:
Average speed is found by adding together the total distances traveled by the athlete and divide that total by the total time it took.
Average velocity is vector, which means it includes direction. If the athlete heads one way and then turns around, his displacement might actually be negative! Yikes! Let's look at speed first:
\(s=\frac{600+1000}{2+1}=\frac{1600}{3}=533\frac{1}{3}\frac{m}{min}\)
Velocity is the displacements added together divided by the total amount of time it took. The displacement is the same as the distance here, since the athlete did not veer off his straight-path and didn't turn around.
Average velocity = average speed = 533.3 m/min
2) It takes an average 19,080 seconds for light to reach Pluto (Pluto's orbit varies quite a bit!). The
speed of light is in number 1. How far would Pluto be from the Sun at that particular point in its orbit
The average distance of Pluto is 3.7 billion miles or 5.9 billion kilometers, 39 astronomical units away from the Sun.
From a median distance of three.7 billion miles. Pluto is 39 astronomical units far away from the solar. One astronomical unit is the space from the solar to Earth. From this distance, it takes daylight five.
Mild from the solar takes about 5.5 hours to reach Pluto at its common distance (39. four AU). Pluto turned into founded in 1930 and turned at the beginning considered the ninth planet from the sun.
Sunlight travels at the rate of mild. Photons emitted from the surface of the sun want to travel across the vacuum of space to attain our eyes. the short solution is that it takes daylight an average of eight mins and 20 seconds to travel from the sun to the Earth.
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Which of the following breakfasts is better than eating no breakfast at all?
A.
Sugary cold cereal and milk
B.
Fruit smoothie
C.
Doughnut
D.
All of the above
Answer:
D. all of the above
Explanation:
took the quiz
hope this helps :)