The orbital speed of the International Space Station (ISS) is 7.66 km/s.
The orbital speed is given by the formula:
\(v = √(GM/R)\)
where, v = orbital speed
G = gravitational constant
M = mass of earth
R = radius of earth
The distance of the ISS from the center of the Earth is given by R + h where h is the height above the surface of the Earth. Thus the radius of the ISS is given by
\(R + h = 6.37 × 10^6 m + 4.18 × 10^5 m = 6.79 × 10^6 m.\)
Substituting the values in the above formula:
\(v = √(6.67 × 10^-11 N m^2/kg^2 × 5.98 × 10^24 kg/6.79 × 10^6 m) = 7.66 km/s\)
The orbital period of the ISS can be calculated using the formula: T = 2πR/v where, T = orbital period v = orbital speed R = radius of orbit
Substituting the values in the above formula:
\(T =\)\(2π × 6.79 × 10^6 m/7.66 km/s\)
\(= 5.54 × 10^3\) seconds or approximately 90 minutes.
Therefore, the ISS's orbital speed is 7.66 km/s and the orbital period is approximately 90 minutes.
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why do you think a force is generated when a spring is stretched or compressed
Answer:
When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length.
Explanation:
Hope This Helps!
A force is generated when a spring is stretched or compressed due to change in position against its normal state.
How force is generated?When a spring is stretched or compressed, so that its length changes by an amount x from its original length. After releasing it, it exerts a force F = -kx in a direction towards its original position. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length.
In conclusion, a force is generated when a spring is stretched or compressed due to change in position against its normal state.
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Elias serves a volleyball at a velocity of 16 m/s. The mass of the volleyball is 0.27 kg. What is the height of the volleyball above the gym floor if its total mechanical energy is 41.70 J? Round to the nearest tenth. m
Answer:
The correct answer to the following question will be "2.7 m".
Explanation:
The given values are:
Velocity, v = 16 m/s
mass, m = 0.27 kg
Mechanical energy, M.E = 41.70 J
g = 9.8 m/s²
As we know,
Kinetic energy, \(K=\frac{mv^2}{2}\)
Potential energy, \(U=m.g.h\)
Now, the total mechanical energy will be:
⇒ \(\frac{mv^2}{2}+U\)
⇒ \(41,71 \ kg.m^2/s^2\)
Now,
⇒ \(h=\frac{E-(\frac{mv^2}{2})}{mg}\)
On putting the estimated values, we get
⇒ \(=\frac{41.70-(\frac{0.27(16)^2}{2})}{0.27\times 9.8}\)
⇒ \(=\frac{41.70-(\frac{0.27\times 256}{2} )}{2.64}\)
⇒ \(=\frac{41.70-34.56}{2.64}\)
⇒ \(=\frac{7.14}{2.64}\)
⇒ \(=2.7 \ m\)
Answer:
2.7 m
Explanation:
A kayak took 5 hours to finish its trip on a river.If it traveled at an average speed of 18mph (mile per hour),What was the distance of the trip
A spaceship with a constant speed of 0. 800c relative to earth travels to a star that is 4. 30 light-years from earth. how much time for this trip would elapse on a clock on board the spaceship?
The answer is time for this trip would elapse on a clock on board the spaceship is \(1.02 \times 10^{8} secends\)
\(V_{0}=0.800 \mathrm{C}\)
Distance from Earth (x)=4.30 light-years
Time req. to do in earth frame of reference \($=\frac{4.30 \text { light years }}{0.800 \mathrm{c}}$\)
\($=\frac{4.3 \times 9.46 \times 10^{15} \mathrm{M}}{0.8 \times 3 \times 10^{8} \mathrm{~m} / \mathrm{s}}$\)
\($=1.695 \times 10^{8}$\) seconds
proper time = Time in earth's reference\($\sqrt{1-\frac{v^{2}}{C^{2}}}$\)
\(=1.698 \times 10^{8} \times 0.6=1.02 \times 10^{8} secends\)
What is Space contraction?
The contraction of space is a notion presented in spatial relativity in which an object's distance travelled when moving at a percentage of the speed of light is smaller than that measured by an observer in an inertial reference frame \(\mathrm{x}_{0}=\mathrm{x} \times \sqrt{1-\frac{\mathrm{v}^{2}}{\mathrm{c}^{2}}}\)Lorentz-FitzGerald contraction, also known as space contraction, is the shortening of an object in the direction of its motion relative to an observer in relativity physics.To learn more about Space contraction visit:
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Which object(s) formed last in our solar system?the sunthe solar nebulathe inner planetsthe planetesimals.
The planetesimals, which are small bodies that eventually formed into larger objects such as planets, are believed to have formed last in our solar system.
Our solar system formed around 4.6 billion years ago from a cloud of gas and dust, known as the solar nebula. The sun formed first from the dense, hot center of the nebula. As the sun formed, it began to emit heat and radiation, which caused the remaining gas and dust to begin to condense and form into small objects known as planetesimals.
As these planetesimals collided and merged, they grew larger and larger, eventually forming the inner planets, such as Mercury, Venus, Earth, and Mars. The outer planets, such as Jupiter and Saturn, also formed from the collision and merger of planetesimals, but they formed later in the process.
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Your question seems incomplete, but I assume the question was:
"Which object(s) formed last in our solar system?
the sun
the solar nebula
the inner planets
the planetesimals."
The amplitude of a lightly damped oscillator decreases by 2.80% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle
The percentage of mechanical energy lost in each cycle of the lightly damped oscillator is approximately 0.00001111%, which can be considered negligible.
In a lightly damped oscillator, the percentage of mechanical energy lost per cycle can be determined using the formula:
Energy loss percentage = (1 - sqrt(R^2 + (1 - R^2)^2)) * 100
where R is the ratio of amplitude in one cycle to the amplitude in the previous cycle.
Given that the amplitude of the oscillator decreases by 2.80% during each cycle, we can calculate the value of R:
R = 1 - 0.028
R = 0.972
Now we can substitute this value into the formula to find the percentage of mechanical energy lost per cycle:
Energy loss percentage = (1 - sqrt(0.972^2 + (1 - 0.972^2)^2)) * 100
Energy loss percentage ≈ (1 - sqrt(0.944784 + 0.055215776)) * 100
Energy loss percentage ≈ (1 - sqrt(0.999999776)) * 100
Energy loss percentage ≈ (1 - 0.9999998889) * 100
Energy loss percentage ≈ 0.0000001111 * 100
Energy loss percentage ≈ 0.00001111
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Many machines, including levers, wheel-and-
axle devices, and pulleys, exert a greater force
on a load than you exert on the machine.
What do you have to do in return for a
mechanical advantage that is greater than 1?
The use of machines with a mechanical advantage greater than 1 allows us to lift heavier loads with less force, but it also requires us to do more work over a longer distance.
When using a machine with a mechanical advantage greater than 1, you must apply a smaller force over a longer distance in order to lift a load. This is because the machine reduces the amount of force needed to lift the load, but it increases the distance over which that force must be applied.
This is known as the principle of work and energy conservation, which states that the amount of work done on a system is equal to the amount of work done by the system.
For example, if you are using a lever to lift a heavy object, the lever will increase the force applied to the object, but it will also require you to move the lever over a greater distance.
So, in order to take advantage of the lever's mechanical advantage, you must apply a smaller force over a greater distance to move the load. This requires more work on your part, but the work is spread out over a longer distance, which may make it easier to accomplish.
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A contour map has 14 concentric circles, each placed 1/2 centimeters apart. The map's scale indicates 1cm = 10 ft. What is the structure, and what are its dimensions?
Answer:
B. A hill 70ft tall.
Explanation:
suppose a student is making waves in a slinky the student's hand makes one complete oscillation in 0.04s thw wavelenght in the slinky is 0.60 m for this wave determine a) period and frequency b) wave speed
Ai. The period of the wave is 0.04 s.
Aii. The frequency of the wave is 25 Hz
B. The wave speed is 15 m/s
A. How to determine the period and the frequencyi. How to determine the period
We can obtain the period of the wave as illustrated below:
Number of oscillation (n) = 1Time (t) = 0.04 sPeriod =?Period = t / n
Period = 0.04 / 1
Period = 0.04 s
Thus, the period of the wave is 0.04 s
ii. How to determine the frequency
The frequency of the wave can be obtained as illustrated below:
Period (T) = 0.04 sFrequency (f) =?f = 1 / T
f = 1 / 0.04
f = 25 Hz
Thus, the frequency of the wave is 25 Hz
B. How to determine the wave speedFrequency (f) = 25 HzWavelength (λ) = 0.6 mWave speed (v) =?v = λf
v = 0.6 × 25
v = 15 m/s
Thus, the wave speed is 15 m/s
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TRUE OR FALSE : is rate of crystallization higher when solution is more saturated
The given statement that “rate of crystallization is higher when a solution is more saturated" is true.However, we must first understand the meaning of "crystallization" and "saturation" before answering the question.The process by which a solid forms from a liquid or gas phase is known as crystallization.
A solution is saturated if it contains the maximum quantity of solute that may dissolve in the solvent at a particular temperature and pressure. A solution can be classified as unsaturated if it contains less than the saturation level, and supersaturated if it contains more than the saturation level. What is the relationship between crystallization and saturation.
When a solution reaches its saturation point, the solute is no longer soluble in the solvent. As a result, any extra solute added to the solution will form crystals. Furthermore, when a solution is highly saturated, the crystals will form at a faster rate than when it is not as concentrated. As a result, the statement "rate of crystallization is higher when a solution is more saturated" is true.
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Which of the following describes the structure of an airplane wing?
A. To help the airplane change directions
B. Smooth, wide shape with a curved edge
C. To lift the airplane off the ground
D. Flat, thin metal with silver stripes
Answer:
B.Smooth, wide shape with a curved edge
Squeezing due to differences in the gravitational force of the moon at different points on earth causes
Answer:
the most important effect of the gravitational force is the change in the tide.
Explanation:
The gravitational force between the Moon and the Earth is given by
F = G m M / r2
where m is the mass of the Moon, M the mass of the Earth, and r the distance between the two.
The magnitude that changes in this formula is the distance between the Moon and the Earth, due to the lunar rotation, at the points of maximum approach in the periods of high tide and in the periods of greater distance the tide is low.
It should be mentioned that the earth's crust is also affected, but its movement is much less than that of water, which is why in almost all cases it is taken as fixed.
Lately it has also been analyzed that the Earth-Moon structure creates greater stability in the rotation of the two bodies.
Consequently the most important effect of the gravitational force is the change in the tide.
A girl walked 200 m from her home to her friend’s home, then she walked 1 km to a shop. She then walked 800 m back to her home. How far did she walk altogether? Give your answer first in meters, then in kilometers.
Answer:
200 meters+1000 meters+800 meters=2000 meters or 2km
Explanation:
1km=1000m
A ball is thrown at a wall with a velocity of 5 m/s and bounces off at 4 m/s as shown in the diagram. If the impulse provided by the wall is 3 Nm, then what is the mass of the ball?
Answer:
m = 3 kg
Explanation:
It is given that,
Initial speed of a ball is 5 m/s, u = 5 m/s
Final speed of a ball is 4 m/s, v = 4 m/s (as it bounces)
Impulse provided by the wall is -3 N-m (impulse is provided in opposite direction)
We need to find the mass of the ball. Impulse provided to an object is given by the change in its momentum as :
J = m(v-u)
m is mass of the ball
\(m=\dfrac{J}{(v-u)}\\\\m=\dfrac{-3}{(4-5)} \\\\m=3\ kg\)
So, the mass of the ball is 3 kg.
Brian is at school and wants to walk home. How far and in what direction should he travel?
How would a speed vs. time line graph appear if an airplane moved at a
positive acceleration?
Answer:
Explanation:
Acceleration is the time rate of change, or the rate, of the velocity. Therefore, the slope y/x of a speed vs time graph would give the acceleration. If the acceleration is said to be positive, the graph would be a straight line that is at a constant increase over time.
Which statement is always true about objects which exert gravitational force on each other? A. They are a very large size. B. They exist only in outer space. C. They are a speed. D.They are a mass.
Answer:
The answer is D. They are a mass.
Answer:
“they have mass” because if they don’t have mass they can’t exert force even if they have speed if they have no mass they can’t do anything or exert force
Explanation:
Two locomotives approach each other on parallel tracks. each has a speed of 150 km/h with respect to the ground. if they are initially 9.5 km apart, how long will it be before they reach each other?
Two locomotives with a speed of 150 km/h each, reach the other in: 1.9 min
The formula of reach time and procedure we will use to solve this problem is:
Tr = x/(v2+v1)
Where:
Tr = reach timex = separation distancev2 = velocity of the faster mobilev1 = velocity of the slowest mobileInformation about the problem:
x = 9.5 kmv2 = 150 km/hv1 = 150 km/hTr=?Applying the reach time formula we get:
Tr = x/(v2+v1)
Tr = 9.5 km/(150 km/h + 150 km/h)
Tr = 9.5 km/(300 km/h)
Tr = 0.032 h
By converting the time units from (h) to (min) we have:
0.032 h * (60 min / 1h) = 1.9 min
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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What is the abbreviation for the SI unit for electric potential?
V
J
C
U
The abbreviation for the SI unit for electric potential is V.
What is Electric potential?This is defined as the amount of work energy needed to move a unit of electric charge from one point to another in an electric field.
Electric potential = Energy/ Charge
The unit of electric potential is either Joules per coulomb or Volts(V) which makes option A the most appropriate choice.
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Answer:
V
Explanation:
a bee whispered me the answer
The slope of a position-time graph can be used to find the moving obiects
Answer:
Is this a true and false statement?
Explanation:
a sailor working on boat maintenance while at sea hits the side of his boat with a hammer just below the water line. he hears an echo of the sound reflected from the ocean floor, directly below the boat, 2.5 seconds later. how deep is the water at this location? assume the speed of sound in sea water is 1560 m/s and does not vary with depth.
Answer:
Explanation:
20890
L= 1 H and R = 3.9 KQ. V (w) Vi (w) b) Sketch the magnitude of the frequency response function H(w). c) Determine what type of ideal filter is approximated by this circuit. a) Find H (w) = + vi(t) L R + vo(t)
The circuit has a constant gain of 1 for high frequencies, implying that it acts as a low-pass filter. To find the frequency response function H(w) for the given circuit, we need to determine the transfer function H(w) = V0(w) / Vi(w), where V0(w) is the output voltage and Vi(w) is the input voltage in the frequency domain.
L = 1 H (inductance)
R = 3.9 KΩ (resistance)
The circuit can be represented by the following equation:
H(w) = (jwL + R) / (jwL + R + 1)
To sketch the magnitude of the frequency response function H(w), we need to plot the magnitude |H(w)| as a function of frequency w.
Taking the magnitude of the transfer function, we have:
|H(w)| = |(jwL + R) / (jwL + R + 1)|
Next, let's analyze the type of ideal filter approximated by this circuit. We can examine the transfer function to determine the filter characteristics.
From the transfer function:
H(w) = (jwL + R) / (jwL + R + 1)
As w approaches infinity, the jwL term dominates the transfer function, and the transfer function becomes:
H(w) ≈ jwL / jwL = 1
This indicates that the circuit has a constant gain of 1 for high frequencies, implying that it acts as a low-pass filter. It allows low-frequency signals to pass through relatively unattenuated while attenuating high-frequency signals.
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1. A car is traveling at 36 m/s hits a tree and comes to rest in 0.05 seconds.
a. What is the acceleration of the car?
b. Airbags deploy in a car if the acceleration of a car exceeds -600 m/s^2 Will the airbags deploy?
Answer: a. -720m/s^2
b. Yes, airbags will deploy
Explanation:
The formula for acceleration is:
= (Final velocity - Initial velocity)/Time
Final velocity = 0m/s
Initial velocity = 36m/s
Time taken = 0.05s
= (Final velocity - Initial velocity)/Time
= (0 - 36)/0.05
= -36/0.05
= -720m/s^2.
Since it's negative, it shows that there was a deceleration.
2. Yes the airbag will deploy since the acceleration gotten is more than -600 m/s^2.
If we know the size of an asteroid, we can determine its density by A) comparing its reflectivity to the amount of light it reflects. B) looking for brightness variations as it rotates. C) determining its mass from its gravitational pull on a spacecraft, satellite, or planet. D) radar mapping. E) spectroscopic imaging.
Option C) is correct in determining its mass from its gravitational pull on a spacecraft, satellite, or planet. Knowing the mass and size of an asteroid allows us to calculate its density.
Option A) is incorrect because reflectivity only tells us about the asteroid's surface properties, not its density. Option B) is incorrect because brightness variations during rotation do not give us enough information to determine density. Option D) and E) are methods of studying asteroids but are not directly related to determining density.
Knowing the size of an asteroid alone is not enough to determine its density, as different materials can have different densities at the same size. By measuring the gravitational pull of the asteroid on a spacecraft, satellite, or planet, we can determine its mass. Once we have the mass and the size, we can calculate the asteroid's density. Methods such as radar mapping and spectroscopic imaging can provide additional information about the asteroid's composition, but they are not directly used to determine its density.
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C) calculating its mass based on the gravitational attraction it exerts on a satellite, planet, or spacecraft.
We can determine an asteroid's mass by observing the gravitational pull it has on a neighbouring body, like a planet, satellite, or spacecraft. We can determine the asteroid's density once we know its mass and size. The gravitational force of an object will be stronger the denser it is. As a result, an asteroid must be denser the more massive it is for a given size.
The density of an asteroid can be determined using this method, which is especially helpful for small or erratic-shaped asteroids that are challenging to see using other techniques like radar mapping or spectroscopic imaging. Additionally, it can offer crucial details on the asteroid's makeup and structure, which can aid researchers in understanding the asteroid's formation and evolution.
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Derive an equation for the initial horizontal velocity v0, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants
The initial horizontal velocity v0 of the object can be expressed in terms of the spring constant k, the compression of the spring x, and the mass m of the object as:
v0 = √(k\(x^{2}\)/m)
Let's assume an object of mass m is placed on a spring with spring constant k and compressed by a distance x. When the spring is released, it will exert a force on the object in the upward direction, and the object will begin to move upward.
At the moment the object loses contact with the spring, the spring potential energy stored in the spring will be converted into kinetic energy of the object. This means that the spring potential energy must be equal to the kinetic energy of the object.
The spring potential energy can be expressed as
U = 1/2 k\(x^{2}\)
The kinetic energy of the object can be expressed as
K = 1/2 m\(v_{0} ^{2}\)
Where v0 is the initial horizontal velocity of the object.
Setting U equal to K, we get
1/2 k\(x^{2}\) = 1/2 m\(v_{0} ^{2}\)
Solving for v0, we get:
v0 = √(k\(x^{2}\)/m)
Therefore, the initial horizontal velocity v0 of the object can be expressed in terms of the spring constant k, the compression of the spring x, and the mass m of the object as:
v0 = √(k\(x^{2}\)/m)
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a person starts at a position of 2 meters and finishes at a postion of 25 meters. the trip takes 4.5 seconds. what is the person's average velocity? what is the person's average speed?
Explanation:
Average velocity = displacement / time
v = (25 m − 2 m) / 4.5 s
v = 5.11 m/s
A 10 kg box slides down a lane inclined at an angle θ = 30 . The plane has a friction of coefficient 0.1. The box starts from the rest and slides down the plane for 2.0 s. What is the distance that the box travels down the plane?
Answer:
The distance the box traveled down the plane is 19.28 m
Explanation:
The angle of repose, α, is given by the relation;
tan⁻¹(μ) = α
tan⁻¹(0.1) = 5.7°
Therefore, we have;
M·g·sin(θ) - μ·N = M·a
Where:
M = Mass of the box = 10 kg
g = Acceleration due to gravity = 9.81 m/s²
θ = Angle of inclination of the plane = 30°°
μ = Coefficient of friction = 0.1
a = Acceleration of the box along the incline plane
N = Normal force due to the weight of the box = M·g·cos(θ)
10 × 9.81 × sin30 - 0.1 × 9.81 × cos(30) = 10 × a
48.2 = 10 ×a
a = 48.2/10 = 4.82 m/s²
The distance, s, traveled by the box is given by the relation;
s = u·t + 1/2×a·t²
Where:
u = Initial velocity = 0 m/s
t = Time of motion = 2.0 s
∴ s = 0×2 + 1/2 × 4.8 × 2² = 19.28 m
The box traveled 19.28 m down the plane.
The distance that the box travels down the plane is 8.1 m.
The given parameters;
mass, m = 10 kgangle, θ = 30⁰coefficient of friction, μ = 0.1time of motion of the box, t = 2 sThe acceleration of the box is calculated as follows;
\(\Sigma F_{net} = ma\\\\mgsin\theta - \mu mg cos\theta = ma\\\\gsin\theta - \mu g cos\theta = a\\\\g(sin\theta - \mu cos \theta ) = a\\\\9.8(sin30 \ - \ 0.1\times cos 30) = a\\\\9.8(0.413) = a\\\\4.05 \ m/s^2 = a\)
The distance traveled by the box down the plane is calculated as follows;
\(s= ut + \frac{1}{2} at^2\\\\s = 0 + \frac{1}{2} \times 4.05 \times 2^2\\\\s = 8.1 \ m\)
Thus, the distance that the box travels down the plane is 8.1 m.
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A 7.0 kg bowling ball moves at 2.45 m/s.How fast must a 2.60 g ping pong ball move so that the two balls have the same kinetic energy
Answer:
127.12 m/s
Explanation:
From the question,
Kinetic energy of the bowling ball = Kinetic energy of the ping pong ball
1/2mv² = 1/2m'v'²
Where m = mass of the bowling ball, v = velocity of the bowling ball, m' = mass of the ping pong ball v' = velocity of the ping pong ball
make v' the subject of the equation
v' = √(mv²/m')................ Equation 2
Given: m = 7.0 kg, v = 2.45 m/s, m' = 2.60 g = 0.0026 kg
Subtitute into equation 2
v' = √[(7×2.45²)/0.0026]
v' = √16160.57
v' = 127.12 m/s
2. Which best represents a physical property of a
substance?
A. Acids act as a corrosive to metal.
B. Gold has a density of 19.3 g/cm3.
C. Sodium combines with chlorine to create
sodium chloride.
D. Hydrochloric acid reacts with zinc metal,
creating hydrogen gas.
This question is about force and acceleration. the driver of a car moving at 20 m/s along a straight level road applies the brakes. the car decelerates at a steady rate of 5 m/s2. a how long does it take the car to stop? [2] b what kind of force slows the car down? [1] c where is this force applied? [1] d the mass of the car is 600 kg. what is the size of the force slowing the car down?
The size of force slowing the car down is 22.2 m.
What is acceleration due to friction?
The formula is a = F/ m.
This comes from Newton's Second Law.
Like we know that friction is included here, we need to derive the formula according to the situation, a = (F – Ff) / m. Here friction will accelerate the object more.
How does friction accelerate a car?The force of static friction is what pushes your car forward.
The engine provides the force to turn the tires which, in turn, pushes backwards against the road surface.
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