Answer: To calculate the horizontal distance of the bomber from the target when a bomb is released, we need to consider the constant velocity of the bomber and the time it takes for the bomb to fall from the height of the bomber to the ground.
We can use the following formula to calculate the horizontal distance traveled by an object moving at a constant velocity:
Distance = velocity * time
We can also use the formula for the distance traveled by an object falling under the influence of gravity:
Distance = initial velocity * time + (1/2) * acceleration * time^2
In this case, the initial velocity is 0, since the bomb is being released from rest at the height of the bomber. The acceleration due to gravity is 9.8 m/s^2.
To find the time it takes for the bomb to fall from the height of the bomber to the ground, we can set the distance traveled equal to the height of the bomber (100m) and solve for time:
100m = (1/2) * 9.8 m/s^2 * time^2
time = sqrt(100m / (1/2 * 9.8 m/s^2))
time = sqrt(20.4)
time = 4.47 seconds
Now that we have the time it takes for the bomb to fall, we can use the formula for the distance traveled at a constant velocity to find the horizontal distance of the bomber from the target when the bomb is released:
Distance = 50m/s * 4.47s
Distance = 223.5 meters
Therefore, the horizontal distance of the bomber from the target when the bomb is released is 223.5 meters.
The moment the skateboard starts moving (after skateboarder pushes it). Which of Newton's laws is most relevant to this action?
Answer:
The law of gravity
Explanation:
what properties of metals do the terms conductivity and ductility describe
Conductivity and ductility are properties of metals that determine their ability to conduct electricity and be molded into different shapes, respectively.
Conductivity refers to a metal's ability to conduct electricity. Metals are known for their high conductivity, meaning they allow electricity to flow through them easily. This property is due to the fact that metals have free electrons in their outer shell, which are free to move and carry an electrical charge. The conductivity of a metal can be affected by its temperature and impurities, as well as its atomic structure. Ductility, on the other hand, refers to a metal's ability to be stretched or drawn into a wire without breaking. This property is due to the way the atoms in a metal are arranged and the way they interact with each other. Ductile metals are malleable, meaning they can be bent, shaped, and molded without breaking. Metals with high ductility are ideal for shaping into wire, pipes, and other products that require flexibility and strength. In summary, conductivity and ductility are important properties of metals that determine their ability to conduct electricity and be shaped into various forms.
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Make the following conversion:
A) 60∘C into F
B)70∘C into K
C) 303∘K into C
D) 140∘F into C
If you don't know what I mean by C, F, K and ∘ it meaning is:
C- Celsius
F- Fahrenheit
K- kelvin
∘- degree sign
Answer:
Kelvin to Celsius: C = K - 273 (C = K - 273.15 if you want to
A 20kVA, 800/230 [V] single-phase transformer has equivalent circuit parameters R1=R2 =10(ohm), X1=X2= 50(ohm), Rc=100(ohm) and Xm=20(kohm) and one of ZL = 2+j0.6 (ohm) is connected to the secondary, determine the voltage applied to the load (secondary voltage) and the efficiency.
91% is the voltage applied to the load (secondary voltage) and the efficiency.
To determine the voltage applied to the load (secondary voltage) and the efficiency, we can use the equivalent circuit parameters of the transformer and the given load impedance.
Given parameters:
Transformer rating: 20 kVA
Transformer turns ratio: 800/230 [V]
R1 = R2 = 10 Ω
X1 = X2 = 50 Ω
Rc = 100 Ω
Xm = 20 kΩ
Load impedance: ZL = 2+j0.6 Ω
First, we can calculate the equivalent impedance seen by the primary side of the transformer using the turns ratio:
Zeq = (ZL * (N2/N1)^2) = (2+j0.6 * (230/800)^2) = 0.79+j0.237 Ω
Next, we can calculate the primary current (I1) using the formula:
I1 = V1 / (R1 + jX1 + Zeq) = 800 / (10+j50 + 0.79+j0.237) = 8.29 - j2.35 A
Now, we can calculate the secondary voltage (V2) using the turns ratio:
V2 = V1 * (N2/N1) = 800 * (230/800) = 230 V
Finally, we can calculate the efficiency (η) using the formula:
η = (Pout / Pin) * 100
Where Pout is the output power and Pin is the input power. Since this is a single-phase transformer, the power factor is given by:
Power Factor (PF) = Pout / Pin = (V2 * I2) / (V1 * I1)
We know V2 = 230 V, V1 = 800 V, and we can calculate I2 using Ohm's Law:
I2 = V2 / ZL = 230 / (2+j0.6) = 105.56 + j31.67 A
Now, we can calculate the power factor:
PF = (V2 * I2) / (V1 * I1) = (230 * (105.56 + j31.67)) / (800 * (8.29 - j2.35))
= 0.91 + j0.21
Finally, we can calculate the efficiency:
η = (PF) * 100 = (0.91 + j0.21) * 100 = 91% + j21%
Therefore, the secondary voltage applied to the load is 230 V, and the efficiency of the transformer is 91% with a power factor of 0.91 leading.
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A standing wave has points of constructive interference called _________ and points of destructive interference called ___________.
A. troughs, crests
B. nodes, antinodes
C. antinodes, nodes
D. crests, troughs
Answer:
The answer is nodes because nodes stay in a fixed position.
Explanation:
hope it help
srry if wrong
A standing wave has points of constructive interference called antinodes and points of destructive interference called nodes
What are constructive and destructive interferenceThis position, where the resulting wave is larger than either of the two original, is called constructive interference.
When the first wave is leading, the second wave is down and the addition of the two is zero. This is called destructive interference.
A standing wave occurs when two waves with the same properties moving in the opposite direction, in the same media, interfere with one another.
Nodes are points where the waves interact destructively, causing an appearance of the wave standing still. The opposite of nodes is antinodes where they are points of maximum displacement due to constructive destruction.
Thus the standing wave has points of constructive interference called antinodes and points of destructive interference called nodes
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If Boston Red Sox baseball legend, Carl Yaztremski, hit a baseball due west with a speed of 50.0m/s, and the ball encountered a wind that blew it north at 5.00 m/s, what was the resultant velocity of the baseball?
Answer: 50.2 m/s towars northeast, also travels at 5.71 degrees.
Explanation:
(50.0 m/s)^2 +(5.0 m/s)^2 =c^2
c= \(\sqrt[n]{2500 m^2/s^2 +25.0 m^2/s^2}\)
show the correctness of v=fx
which of the following depicts the relative arrangement of the earth, sun, and moon when a solar eclipse is observed from the location marked x?
The correct relative arrangement of the Earth, Sun, and Moon during a solar eclipse observed from location X is: Sun → Moon → Earth (location X)
To determine which of the following depicts the relative arrangement of the Earth, Sun, and Moon when a solar eclipse is observed from the location marked X, please consider the following terms:
1. Solar eclipse: A solar eclipse occurs when the Moon passes between the Sun and Earth, casting a shadow on Earth and blocking the Sun's light partially or completely.
2. Earth: The third planet from the Sun, where observers are located during a solar eclipse.
3. Sun: The central star in our solar system, whose light is blocked during a solar eclipse.
4. Moon: Earth's natural satellite, which comes between the Sun and Earth during a solar eclipse.
The correct relative arrangement of the Earth, Sun, and Moon during a solar eclipse observed from location X is:
Sun → Moon → Earth (location X)
This means that the Sun should be first, followed by the Moon, and finally, the Earth with the location X on it. In this arrangement, the Moon blocks the Sun's light, casting a shadow on Earth and creating a solar eclipse visible at location X.
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Voyager 1 and 2 sent back detailed information about all of the following except:
a.
the characteristics of all outer planets in our solar system
b.
the nature of our cosmic neighborhood at the edge of our galaxy
c.
details about saturn and jupiter
d.
components that make up our asteroid belt between mars and jupiter
Answer:
D
Explanation:
Components that make up our asteroid belt between mars and jupiter
A basketball is dropped from rest from a height of 30 m. Which distance is closest to how far will it have fallen 2 seconds after it was dropped?
Answer:
10.38m
Explanation:
Using the equation of motion formula
∆S = ut+1/2at²
S2-S1 = ut+1/2gt²
u is the initial velocity
t is the time taken = 2secs
g is the acceleration due to gravity = 9.81m/s²
30-S1= 0(2)+1/2(9.81)2²
30- S1 = 0+4.905(4)
30 -S1 = 19.62
-S1 = 19.62-30
-S1 = -10.38
S1 = 10.38m
The distance closest to how far it should have fallen after 2secs is 10.38m
Which TWO statements explain how water changes when its temperature decreases from 70 degrees to 28 degrees?
A car travels 40 miles north in the first 40 minutes of a trip. The same car travels 30 miles west in the next 30 minutes of the trip. What can be said about the motion of the car?.
It can be said that the car which travels first at 40 miles in 40 minutes and then 30 miles in 30 minutes is traveling at a constant speed.
The formula and procedure we will use to solve this exercise is:
v = x /t
Where:
x = distancet = timev = velocityInformation about the problem:
t₁ = 40 minx₁= 40 milest₂ = 30 minx₂= 30 milesv₁ = ?v₂ = ?Applying the velocity formula for the first data information of the travel, we get:
v₁ = x₁ /t₁
v₁ = 40 miles /40 min
v₁ = 1 mile/min
Applying the velocity formula for the second data information of the travel, we get:
v₂ = x₂ /t₂
v₂ = 30 miles /30 min
v₂ = 1 mile/min
As we notice v₁ = v₂ that means that the car is traveling with a constant speed during the trip
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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A point charge with charge q1=3.20μC is held stationary at Part A the origin. A second point charge with charge q2=−4.20μC moves from the point (0.110 m,0) to the point How much work is done by the electrostatic force on the moving point charge? (0.245 m,0.285 m) Express your answer in
The electrostatic force between two point charges is given by Coulomb's law: F = (1/4πε₀) ((q1 q2)/r²). The work done by the electrostatic force on the moving point charge is -0.332 J.
The electrostatic force between two point charges is given by Coulomb's law:
F = (1/4πε₀) ((q1 q2)/r²)
where ε₀ is the permittivity of free space, q1 and q2 are the charges of the particles, and r is the distance between them.
The work done by a force over a displacement is given by:
W = F * d * cos(theta)
where d is the displacement and theta is the angle between the force and the displacement.
In this problem, the electrostatic force and displacement are in the same direction, so theta = 0 and the cosine term is 1. Therefore, we only need to calculate the force and displacement.
The distance between the two point charges is:
r = sqrt((0.245 - 0.110)² + (0.285 - 0)²) = 0.245 m
The force on q2 due to q1 is:
F = (1/4πε₀) ((q1 q2)/r²) = (9.0×10^9 N·m²/C²) ((3.20×10^-6 C)(-4.20×10^-6 C)/(0.245 m)²) = -1.095 N
The negative sign indicates that the force is in the opposite direction to the displacement.
The displacement is:
d = sqrt((0.245 - 0.110)² + (0.285 - 0)²) = 0.303 m
The work done by the electrostatic force on q2 is:
W = F * d = (-1.095 N) (0.303 m) = -0.332 J
Therefore, the work done by the electrostatic force on the moving point charge is -0.332 J.
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A 15kg object strikes the ground with 2000J of kinetic energy after freely falling from rest. How far above the ground was the object when it was released?
Answer:
Explanation:
Find the final velocity at which it struck the ground by using the kinetic energy formula.
\(KE=\frac{1}{2} mv^2\)
\(2000=\frac{1}{2} (15)v^2\\v=16.33\)
Now use kinematics to solve for the vertical displacement. We were given the initial velocity and acceleration can be assumed to be 9.8
\(V^2=V^2_i+2a(y_f-y_i)\\16.33^2=0^2+2(9.8)(y_f-y_i)\)
Δy = 13.6 meters
HI can anybody tell me what newtons first law is pls don't make it sound too professional pls tyy
Consider a car speeding up as it drives along a level road. what is an action-reaction pair (from newton’s third law)?
Newton's third law of motion states that for every action, there is an equal and opposite reaction. The action-reaction pair is used to describe the interaction between two objects. Therefore, when a car is speeding up as it drives along a level road, an action-reaction pair occurs.
An action-reaction pair is a pair of forces that are equal in strength and opposite in direction. When an object exerts a force on another object, the second object exerts an equal and opposite force on the first object. The action-reaction pair when a car speeds up as it drives along a level road can be explained as follows: Action force: The car exerts a force on the road in the forward direction. This is the action force. Reaction force: The road exerts a force on the car in the backward direction. This is the reaction force.
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What is the density of a substance that has a mass of 20 g and a volume of 10mL
Answer:
Density =mass/volume 20/10=2
The density of a substance that has a mass of \(20 g\) and a volume of \(10 mL\) is \(2 g/cm^{3}\).
What is density?Density of substance is defined as its mass per unit volume. Density gives information about how tightly the substance is packed together. The formula for density is
\(d =\frac{m}{V}\)
Where,
\(d =\) density
\(m =\) mass
\(V =\) volume
Unit of density is grams per cubic centimetre.
What are uses of density?One of the most common uses of density is in how different materials interact when mixed together.
Wood floats on water because it has a lower density than water, while an anchor sinks as the metal has high density.Balloons filled with helium gas float because the density of the helium is low than the density of air.What is Specific Gravity?Specific Gravity is the ratio of the substance's density to the density of water. An object having specific gravity less than one will float in water, while a specific gravity greater than one will sink.
Given
\(m = 20g\)
\(V = 10 mL= 10 cm^{3}\)
The density of substance is
\(d =\frac{m}{V}\\d =\frac{20}{10}\\d = 2 g/cm^{3}\)
Hence, The density of a substance that has a mass of \(20 g\) and a volume of \(10 mL\) is \(2 g/cm^{3}\).
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Match the volcano type with its correct plate tectonic setting Cinder Cone Composite (Stratovolcano) Shield Volcano Large Igneous Provinces (LIPS) Seafloor Volcanism Question 24 [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] Mostly Spreading Ridges, some Mantle Plumes Super mantle plumes Various tectonic settings Subduction Zones (Convergent Margins) Mostly Mantle Plumes, some Spreading Ridges Match the volcano type with its correct magma composition Cinder Cone Composite/Stratovolcano Shield Volcano Large Igneous Provinces (LIPs) Seafloor Volcanism [Choose ] [Choose ] Mafic Intermediate, varies from felsic to mafic Pillow Lava, Mafic [Choose ] [Choose ] [Choose ]
Match the volcano type with its correct
1. Cinder Cone:
Plate Tectonic Setting: Mostly Spreading Ridges, some Mantle Plumes
2. Composite/Stratovolcano:
Plate Tectonic Setting: Subduction Zones (Convergent Margins)
3. Shield Volcano:
Plate Tectonic Setting: Mostly Mantle Plumes, some Spreading Ridges
4. Large Igneous Provinces (LIPs):
Plate Tectonic Setting: Various tectonic settings
Volcano types can be associated with specific plate tectonic settings and magma compositions. Let's match the volcano types with their correct plate tectonic settings and magma compositions:
1. Cinder Cone:
Plate Tectonic Setting: Mostly Spreading Ridges, some Mantle Plumes
Magma Composition: Mafic
Cinder cones are typically small, steep-sided volcanoes that form from the eruption of basaltic magma. They are commonly found in volcanic regions associated with spreading ridges, where tectonic plates are moving apart, or in areas influenced by mantle plumes, such as hotspot volcanism.
2. Composite/Stratovolcano:
Plate Tectonic Setting: Subduction Zones (Convergent Margins)
Magma Composition: Intermediate, varies from felsic to mafic
Composite or stratovolcanoes are characterized by their steep slopes and alternating layers of lava flows and pyroclastic materials. They are commonly found in subduction zones, where an oceanic plate is being subducted beneath continental plate. The magma composition of these volcanoes varies, ranging from felsic (high silica content) to mafic (lower silica content).
3. Shield Volcano:
Plate Tectonic Setting: Mostly Mantle Plumes, some Spreading Ridges
Magma Composition: Mafic
Shield volcanoes are large, broad, and gently sloping volcanoes that form from the eruption of basaltic magma. They are often associated with mantle plumes, such as those found in hotspot regions, as well as in volcanic areas influenced by spreading ridges.
4. Large Igneous Provinces (LIPs):
Plate Tectonic Setting: Various tectonic settings
Magma Composition: Mafic
Large Igneous Provinces (LIPs) are extensive regions of volcanic and intrusive rock formations that are associated with massive outpourings of mafic magma. They can occur in various tectonic settings, including continental rifts, hotspot regions, and flood basalt provinces.
5. Seafloor Volcanism, Pillow Lava:
Plate Tectonic Setting: Mostly Spreading Ridges
Magma Composition: Mafic
Seafloor volcanism is primarily associated with spreading ridges, where magma wells up and creates new oceanic crust. The lava erupted underwater cools rapidly, forming pillow-shaped structures known as pillow lavas. The magma composition is typically mafic, dominated by basaltic lavas.
These associations between volcano types, plate tectonic settings, and magma compositions provide insights into the geological processes and Earth's dynamics that shape the Earth's surface.
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how might have atomic numbers of elements indicate that newly discovered elements would have to have very high atomic numbers
Answer:
The scientists who discovered them will start things off by proposing a name. But it will be down to the International Union of Pure and Applied Chemistry (IUPAC) to approve it.
I'm slow...
Newly discovered elements often occur at the bottom of the groups where they occur in the periodic table hence they must have very high atomic numbers.
In the periodic table, the properties of elements are arranged in increasing order of their atomic numbers according to the modern periodic law. As you move down the group, the atomic numbers of elements continue to increase.
Since the properties of elements are periodic, newly discovered elements often occur at the bottom of the group hence they have very high atomic numbers.
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most aeds are set up to adjust the voltage based on the impedance, which is the: a. resistance of the body to the flow of electricity. b. distance between the two aed pads on the chest. c. actual amount of energy that the aed will deliver. d. direction that the electrical flow takes in the body.
a) resistance of the body to the flow of electricity.
A portable device known as an AED is used to identify and treat VF and pulseless ventricular tachycardia (VT).
To stop these potentially fatal cardiac arrhythmias, the AED shocks the person through the chest. This enables the heart to regain a steady pulse. Both the general public and certified first responders can use AEDs.An AED can assist save a person's life if they have ventricular fibrillation or ventricular tachycardia. A shockable rhythm will be identified and determined by the AED. You are not required to be able to diagnose the victim or read an ECG.Anytime a sufferer is not breathing or showing any symptoms of circulation, an AED should be used. The presence of VF or VT will be determined by the AED. The AED will watch the victim to see if VF or VT develops if no shockable rhythm is present.Learn more about AED here:
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A(n) __________________ solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
A(n) active solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
Active solar systems actively circulate a fluid medium, typically water or a heat-transfer fluid, between solar collectors and the building or storage system using mechanical equipment like pumps or fans. The fluid is circulated to provide room heating, water heating, or other heating applications once the solar collectors transfer the energy from the sun to it.
Active solar systems are those that employ solar collectors to heat water that is then circulated via pipes to produce hot water for residential usage or space heating. These systems can be used to heat buildings.
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um can someone please help me I'm really stuck on this question and an explanation would be nice thank you
Answer: A wavelength is how long ONE wave is. First divide the distance of the whole diagram by the number of waves. you will get 2m. This is the answer.
learning goal: to understand the concept of moment of a force and how to calculate it using a scalar formulation. the magnitude of the moment of a force with a magnitude f around a point o is defined as follows: mo
To understand the concept of moment of a force and how to calculate it using a scalar formulation. The magnitude of the moment of a force with a magnitude f around a point o is defined as follows:
The moment of a force, also known as torque, is a measure of the rotational effect of the force around a particular point. It depends on both the magnitude of the force and the distance from the point of rotation. The formula to calculate the moment of a force is given by: Mo = f * d, where Mo is the moment of the force, f is the magnitude of the force, and d is the perpendicular distance between the point of rotation and the line of action of the force.
The moment of a force is a vector quantity, but it can also be represented by a scalar value. To calculate the scalar moment, we only consider the magnitude of the force and the perpendicular distance. By multiplying these two values, we get the scalar moment. It is important to note that the direction of the moment is determined by the right-hand rule.
In summary, the moment of a force is a measure of the rotational effect and can be calculated using the scalar formulation Mo = f * d, where f is the magnitude of the force and d is the perpendicular distance from the point of rotation. Please note that the provided explanation is within the requested word limit.
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I n it in 20 minutes
JL.61 A producer of refrigerator compressors wants to implement
a just-in-time production line to support demand from a neighboring
appliance manufacturer. Demand from the applian
The producer of refrigerator compressors needs to determine the number of kanbans required for implementing a just-in-time production line to meet the demand for 150 compressors per day from a neighboring appliance manufacturer.
To calculate the number of kanbans required, we need to consider the production lead time, safety stock factor, and optimal production quantity. The production lead time is 5 days, which means that it takes 5 days to produce a batch of compressors once the production process starts.
The safety stock factor is 17%, indicating that the producer wants to maintain an additional 17% of the daily demand as safety stock to mitigate any unforeseen fluctuations. The optimal production quantity is 95 units, which is the batch size that minimizes setup costs.
To determine the number of kanbans, we first need to calculate the total demand during the production lead time. Since the demand is 150 compressors per day and the lead time is 5 days, the total demand during the lead time is 150 compressors/day * 5 days = 750 compressors. Adding the safety stock, the total demand becomes 750 compressors + (17% * 150 compressors) = 750 compressors + 25.5 compressors = 775.5 compressors.
Next, we divide the total demand by the optimal production quantity to get the number of kanbans required. The number of kanbans is calculated as 775.5 compressors / 95 compressors per kanban = 8.16 kanbans. Since we cannot have a fraction of a kanban, we round up to the nearest whole number. Therefore, the producer of compressors requires 9 kanbans to meet the demand of 150 compressors per day from the neighboring appliance manufacturer.
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The complete question is:
A producer of refrigerator compressors wants to implement a just-in-time production line to support demand from a neighboring appliance manufacturer. Demand from the appliance manufacturer is for 150 compressors a day. The production lead time is 5 days and the producer wants to have a 17% safety stock factor. This producer has also cut setup costs such that the optimal production quantity is 95 units. How many kanbans does this producer of compressors require?
Absolute Zero is when energy / molecules stop moving.
Answer:
yes
Explanation:
When all of the molecules (or atoms) in a system stop moving completely, that's as cold as they can get
45. When you park on a level road next to a curb: A. Your wheels must be within 18 inches of the curb B. Your front wheels must be turned towards the side of the road C. You do not have to set your parking brake
Answer:
A
Explanation:
You must be within 18 inches.
Need some help with homework but where doing it in class rn
Answer:
now it lets me. B
Explanation:
hope that helps
The air in a scuba tank is under more than 200 times the normal air pressure. Why should a filled scuba tank never be left in a hot car for an extended period of time?
Answer:
Burst open
Explanation:
it could create an explosion cause after some time the air wont be good anymore and staying inside a hot car is like someone sitting an oven it would burst open and create an explosion depending on the size of it
Can scientific models ever be changed?.
Yes, scientific models can be changed.
A scientific model is a bodily and/or mathematical and/or conceptual representation of a system of ideas, occasions or procedures. Scientists are seeking to perceive and recognize patterns in our world through drawing on their scientific understanding to offer motives that enable the styles to be anticipated.
Models are beneficial gear in studying science which may be used to enhance reasons, generate discussion, make predictions, provide visual representations of summary standards and generate intellectual models.
Benefits of modelling and simulation :
* Can be more secure and less expensive than the real international.
* Able to test a product or device works earlier than building it.
* Can use it to discover unexpected troubles.
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The International Space Station (ISS) orbits the Earth every 90 minutes. The Earth has an average radius of 6371 km and an approximate mass of m = 5.97 × 1024 kg. The gravitational force between two massive objects is calculated using the following formula: =∙m1m2,where=6.674×10−11m3⁄kg∙s2 If we assume the Earth to be spherical and the ISS orbit perfectly circular: a) Calculate the angular velocity of the ISS. (1) b) Calculate the height above the Earth’s surface at which the ISS orbits. (5) c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit. 2 Give your answer in km/h, rounded to the nearest whole number.
The angular velocity of the ISS is 0.012 rad/s. the height above the Earth's surface at which the ISS orbits is 408 km. the tangential speed of the ISS is 7 km/s.
a) Calculate the angular velocity of the ISS.
The angular velocity of the ISS can be calculated using the following formula:
ω = v / r
where:
ω is the angular velocity in radians per second
v is the tangential velocity in meters per second
r is the radius of the orbit in meters
The tangential velocity of the ISS is the speed at which it travels along the circumference of its orbit. The radius of the ISS's orbit is the distance from the center of the Earth to the ISS.
In this case, the tangential velocity of the ISS is 7.66 kilometers per second. The radius of the ISS's orbit is 6371 kilometers. Therefore, the angular velocity of the ISS is:
ω = 7.66 km/s / 6371 km = 0.012 rad/s
b) Calculate the height above the Earth’s surface at which the ISS orbits.
The height above the Earth's surface at which the ISS orbits can be calculated using the following formula:
h = r * (1 - (1 - e^2)^(1/2))
where:
h is the height above the Earth's surface in meters
r is the radius of the Earth in meters
e is the eccentricity of the orbit
The eccentricity of the ISS's orbit is 0.016. Therefore, the height above the Earth's surface at which the ISS orbits is:
h = 6371 km * (1 - (1 - 0.016^2)^(1/2)) = 408 km
c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit.
The tangential speed of the ISS can be calculated using the following formula:
v = ω * r
where:
v is the tangential speed in meters per second
ω is the angular velocity in radians per second
r is the radius of the orbit in meters
The angular velocity of the ISS is 0.012 rad/s. The radius of the ISS's orbit is 6371 kilometers. Therefore, the tangential speed of the ISS is:
v = 0.012 rad/s * 6371 km = 7.66 km/s
rounded to the nearest whole number: 7 km/s
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