Hi there!
We can begin by deriving an equation for the orbital radius.
For an object orbiting the earth, it is experiencing a centripetal force due to the force of gravitation.
Recall Newton's Law of Universal Gravitation:
[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)
m = masses (kg)
r = radius (m)
This is equivalent to the satellite's centripetal force experienced:
[tex]F_c = \frac{m_sv^2}{r}[/tex]
[tex]m_s[/tex] = mass of satellite (kg)
v = velocity (m/s)
r = radius (m)
Set the two equal, and rearrange for the orbital radius of the satellite.
[tex]\frac{Gm_sm_p}{r^2} = \frac{m_sv^2}{r}\\\\\frac{Gm_p}{r} = v^2\\\\r = \frac{Gm_p}{v^2}[/tex]
Notice that the orbital radius of the satellite does NOT depend on the satellite's mass. (we canceled it out).
Now, plug in the given values.
[tex]r = \frac{(6.67\times 10^{-11})(6\times 10^{20})}{17000^2} = \boxed{138.478 m}[/tex]
A compression spring with a spring constant of 200 N/m catches a ball that's falling with
kinetic energy of 0.5 J. How far will the spring compress to stop the ball?
Pls help It would be great if someone can show the steps too thank u
Answer:
distance of compression: 0.07071 m
Explanation:
[tex]\sf energy = \dfrac{1}{2} kx^2[/tex]
[tex]\rightarrow \sf 0.5= \dfrac{1}{2} (200)x^2[/tex]
[tex]\rightarrow \sf 0.5= (100)x^2[/tex]
[tex]\rightarrow \sf 5\ *\ 10^{-3}= x^2[/tex]
[tex]\rightarrow \sf x = \sqrt{5\ *\ 10^{-3}}[/tex]
[tex]\rightarrow \sf x =0.07071 \ m[/tex]
Who discovered the basic laws of planetary orbits?.
Answer:
Johannes Kepler
A very long straight wire carries a current i in the z direction
Answer:
what are you calculating put the full question so I can help you out: )
Explanation:
its quite confusing just a little lol
20. Free-Body Diagram You are sitting in the back seat of a
car going around a curve to the right. Sketch motion
and free-body diagrams to answer these questions:
a. What is the direction of your acceleration?
b. What is the direction of the net force on you?
Centripetal acceleration
#1
Direction towards centre#2
Direction of force also towards centre
To measure a population’s baseline genetic state, it must have _____________ to be in hardy-weinberg equilibrium
Answer:
b
Explanation:
b
80 POINTS MARK BRAINLIEST this experiment is to see if water flows faster oit of a smaller can or a larger can. you will need: two cans (one quite small like a soup can and the other large, like a juice can.) follow these steps: remove the top of each can punch a hole in the side of each can, very close to the bottem, making sute the holes are equal in size. Cover each hole with a peice of tape, and place the cans next to the sink. b. put tje water in both cans, making sure the water is at the same level - different ampuns, but the same level. turn the cans so the holes are facing into the sink, and remove the tape at the time. answer these questions: do the streams of water shoot out at the same distance? why or why not? c. try the same experiment, but this time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment, but the time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment but this time fill the cans to thw top. what happens to the streams of water? ANSWER ALL PARTS
The water present in the middle doesn't experience pressure as much as that experienced by water at the bottom. Pressure is more at bottom surface hence fluids flow from higher pressure to lower pressure. This is why the water rushes out from the bottom hole much faster than from the upper hole
What does it mean for forces to be in equilibrium?.
Explanation:
If the size and direction of the forces on the object are exactly balanced , then there is no net force acting on the object
Based on the figure, a decrease in _________ could cause the economy to move from point a to point b
A decrease in production of goods could cause the economy to move from point a to point b.
What cause shifts in economy?Shifts in the production are due to many factors that change the output of an economy such as advances in technology, changes in resources, more education or training and changes in the labor force.
So we can conclude that a decrease in production of goods could cause the economy to move from good to poor.
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The field found in this problem for a moving charge is the same as the field from a current element of length dl carrying current i provided that the quantity qv is replaced by which quantity?
The magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
Magnetic force on charged particleThe magnetic force on a charged particle is determined from the product of the magnetic field strength (B), speed of the charge (v) and magnitude of the charge (q).
The magnitude of the force is caculated using the following formula;
F = qvB
Magnetic force on a current carrying elementThe magnitude of the force is calculated using the following formula,
F = BILsinθ
when the angle of inclination = 90 degreesF = BIL
Where;
B is the magnetic field strengthI is currentL is length of the wireAt equal magnetic force, the magnetic field can be calculated as follows;
B = F/qv = F/IL
Thus, the magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
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The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
What is a magnetic field?It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.
The magnetic force on the charged particle is found as;
[tex]\rm F = qvB[/tex]
The magnetic force on the current-carrying wire is found as;
[tex]\rm F = BIL sin \theta[/tex]
When the angle of inclination is at a right angle;
[tex]\rm F= BIL[/tex]
The magnetic field is;
[tex]\rm B = \frac{F}{qv} \\\\ B= \frac{F }{IL}[/tex]
The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
Hence the quantity qv is replaced by "IL".
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Please see attached.
Answer:
D
Explanation:
The speed is increasing and he was stationary which means the acceleration is not 0
Under which condition would time periods of daylight and darkness be equal everywhere on Earth all year?.
If the earth rotated on an axis that was not tilted with respect to earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.
What is the earth's orbit?The Earth orbits the Sun in a counterclockwise pattern above the northern hemisphere at an average distance of 149.60 million km.
The Earth revolves around its axis once every 24 hours and orbits the sun once every 365 days. The Earth's rotation on its axis, not its orbit around the sun, causes day and night.
The term 'one day' refers to the time it takes the Earth to rotate once on its axis, which includes both day and night.
Hence the earth rotated on an axis that was not tilted with respect to the earth's orbit Under this condition time periods of daylight and darkness be equal everywhere on earth all year.
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Hello people~
help me with this question ^^
An electroscope is a device which is used to find if an object is
(a) charged
(b) magnetic
(c) free of cracks
(d) hot
Answer:
Charged
Explanation:
Look at a example below
You took a pen Rubbed it on your hair fastly for 2 mins If you took that rubbed part towards paper ,both will be attracted and joined for some while.3. In the formula F = −kx , what does the minus sign indicate?
It indicates that the restoring force is in the direction of the displacement.
It indicates that the restoring force is in the direction opposite the displacement.
It indicates that mechanical energy in the system decreases when a system undergoes oscillation.
None of the above
Please show all of your work.
In the formula F = −kx , what does the minus sign indicate?
Solution: It indicates that the restoring force is in the direction opposite the displacement.
====================================================
k is the force constantF is the restoring force.negative sign represents the restoring force.x is the displacementAnswer:
It indicates that the restoring force is in the direction opposite the displacement.
Explanation:
I had an explanation but, my acc got deleted and yeah, uhm the explanation is dead now, I know this is correct though!
~Kandy~
hope this helped!
brainliest please!
is it possible to make your lifetime displacement zero, if so where would you go?
Answer:
Yes
Explanation:
Displacement is the distance from the starting point to the end point. If you live and die at the same place, you will have 0m as your displacement.
What is the wavelength of a light ray that has a frequency of 7.4 E12 Hz?
The wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
Given the data in the question;
Frequency of the light ray; [tex]f = 7.4 * 10^{12}Hz[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength can be simply defined as the spatial period of a periodic wave. When the shapes of waves are repeated, the distance over which they are repeated is called wavelength. Wavelength is expressed as;
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light( [tex]c = 3*10^8m/s[/tex] )
We substitute our values into the expression above to determine the wavelength of the light ray.
[tex]\lambda = \frac{c}{f} \\\\\lambda = \frac{3*10^8m/s}{7.4*10^{12}s^{-1}}} \\\\\lambda = \frac{3*10^8ms/s}{7.4*10^{12}}}\\\\\lambda = 4.05*10^{-5}m\\\\\lambda = 4.05*10^{4}nm[/tex]
Therefore, the wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
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Based on the first law of thermodynamics, the energy gained by a system is _____ the energy lost by the surroundings.
Based on the first law of thermodynamics, the energy gained by a system is equal to the energy lost by the surroundings.
Laws of thermodynamicsThe laws of thermodynamics can be summarised as follow
The first law states that energy can neither be created nor destroyed. The second law states that the entropy of the universe will always increase for every spontaneous process. The third law states that for a perfect crystal at zero Kelvin, the entropy is zero.From the laws given above precisely the first law, we can conclude that the energy gained by a system is equal to the energy lost by the surroundings
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The diagram above shows a ballistic pendulum. A 10 g bullet is fired into the suspended 2 kg block of wood and
remains embedded inside it (a perfectly inelastic collision). After the impact of the bullet, the block swings up to a
maximum height h. If the initial speed of the bullet was 35 m/s:
A.) What was the momentum of the bullet before the collision?
B.) What was the kinetic energy of the bullet before the collision?
C.) What was the velocity of the bullet-block system just after the collision?
D.) What was the total kinetic energy of the bullet-block system after the collision?
E.) What is the maximum possible potential energy of the bullet-block system when it reaches its maximum height?
F.) What is the maximum possible height of the bullet-block system?
The kinetic energy of the bullet-block system is equal to the potential energy of the bullet-block system when it reaches its maximum height.
Conservation of Linear momentumAccording to the principle of conservation of linear momentum, momentum before collsion is equal to momentum after collision. Let us now answer the questions individually.
1) The momentum of the bullet before collsion = (0.001 Kg * 35 m/s) = 0.35 Kgms-1
2) The kinetic energy of the bullet before collision = 0.5 * 0.001 * (35 m/s)^2 = 0.6125 J
3) Velocity after collsion is obtained from;
(0.001 Kg * 35 m/s) + (2 kg * 0 m/s) = (0.001 Kg + 2 kg) v
v = 0.35/2.001 =
v=0.1749 m/s
4) Total kinetic energy after collison = 0.5 * (0.001 Kg + 2 kg) * (0.1749 m/s)^2
= 0.031 J
5) The maximum possible potential energy of the bullet-block system when it reaches its maximum height = Total kinetic energy after collison = 0.031 J
6) The maximum possible height of the bullet-block system is obtained from;
PE = mgh
h = 0.031 J/(0.001 Kg + 2 kg) * 9.8 ms-2
h = 0.0015 m or 0.15 cm
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What is the difference between a mechanical wave and a non-mechanical wave?.
Answer:
Mechanical waves are waves that need a medium for propagation. Non-mechanical waves are waves that do not need a medium for propagation.
Explanation:
I hope its helped thank you !! ( don't report my asnwer just delete it ) brainlest pls if u can
What is stated in the 1st Law of Motion?
Answer:
Newton's first law: the law of inertia
Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Explanation:
Anything aka if a body is at constant speed in a straight line it would probably remain or keep moving in a straight line unless something slows it down like Fricton.
A radio has a frequency of 220 hertz (Hz). The wavelength sound produced is 4.2m. Identify
the speed of the wave. Equation: Speed= wavelength x frequency (Hz)
A. 11m/s
B. 0.01m/s
C. 52.3m/s
D. 924m/s
Question :-
A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .11 m/s0.01 m/s52.3 m/s924 m/sAnswer :-
Speed of the Wave is 924 m/s .Explanation :-
As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .
For calculating the Speed , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency} [/tex]
[tex] \longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220} [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }} [/tex]
Hence :-
Fourth Option is Correct Answer .[tex] \underline {\rule {180pt} {4pt}} [/tex]
Answer:
A Radio has a Frequency of 220 Hertz . The Sound produced by the Wavelength is 4.2 meter . Identify the Speed of the Wave .
11 m/s
0.01 m/s
52.3 m/s
924 m/s
Answer :-
Speed of the Wave is 924 m/s .
Explanation :-
As per the provided information in the given question, we have been given that the Frequency of the Radio is 220 Hertz . Wavelenght is given as 4.2 meter . And, we have been asked to calculate the Speed of the Wave .
For calculating the Speed , we will use the Formula :-
\bigstar \: \: \: \boxed{ \sf{ \: Speed \: = \: Wavelength \: \times \: Frequency \: }}★
Speed=Wavelength×Frequency
Therefore , by Substituting the given values in the above Formula :-
\dag \: \: \: \sf{Speed \: = \: Wavelength \: \times \: Frequency}†Speed=Wavelength×Frequency
\longmapsto \: \: \: \sf{Speed \: = \: 4.2 \: \times \: 220}⟼Speed=4.2×220
\longmapsto \: \: \: \textbf {\textsf {Speed \: = \: 924 }}⟼Speed = 924
Hence :-
Fourth Option is Correct Answer .
A 20 kω resistor is connected in series with an initially uncharged 100 μf capacitor and a 5 v battery. What is the charge on the capacitor when the circuit has reached steady state?
Hi there!
We can use the equation for the charge of a charging capacitor:
[tex]q(t) = C\epsilon( 1 - e^{-\frac{t}{RC}})[/tex]
Using Capacitor equations:
[tex]C = \frac{Q}{V}}\\\\Q = CV[/tex]
Therefore, Cε equals the steady-state charge of the capacitor (the function approaches this value as t ⇒ ∞.
We can plug in the givens and solve.
[tex]\epsilon = 5 V\\\\C = 100\mu F = 0.0001 F[/tex]
[tex]Q = C \epsilon = (0.0001)(5) = \boxed{0.0005 C}[/tex]
The charge on the capacitor when the circuit has reached a steady-state is 0.0005C.
What is capacitance?The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential.
Given that the resistance of the resistor is 20 kω, while the capacitance of the capacitor is 100 μf, and the voltage of the battery is 5V.
Now, the charge on the capacitor when the circuit has reached a steady-state can be written as,
[tex]Q=CV\\\\Q = 100\mu F \times 5V\\\\Q = \dfrac{100}{1,000,000}F \times 5V\\\\Q = 0.0005C[/tex]
Hence, the charge on the capacitor when the circuit has reached a steady state is 0.0005C.
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Different between :
Metalloids and alloys
Answer:
Alloys are just mixtures of metal and metalloids are metallic substances with properties of metal.
Answer:
metalloids are chemical elements that form substances that have properties of metals and non metals while alloys is a mixture of metals
Minnie sota hits the end of a bar 1. 2 m long with a hammer. Sketch the standing wave on the bar for the following situations. The speed of waves in the bar is 6,500. M/s
(a) The wavelength of the wave for the fundamental mode is 2.4 m.
(b) The fundamental frequency of the wave is 2,708.33 Hz.
Wavelength of the wave for fundamental modeThe wavelength of the wave for the fundamental mode is calculated as follows;
Node to Node, N → N = λ/2
L = λ/2
λ = 2L
λ = 2 x 1.2
λ = 2.4 m
Fundamental frequency of the waveThe fundamental frequency of the wave is calculated as follows;
f = v/λ
f₀ = v/2L
f₀ = (6500)/(2 x 1.2)
f₀ = 2,708.33 Hz
The diagram of the wave for the fundamental mode is in the image uploaded.
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An empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin. What is the speed of the coal car afterward?
Answer:
3 m/s
Explanation:
Initial = Final
Mass * Velocity = Mass *Velocity
8000kg * 12m/s = (8000kg+ 24000kg) * (Final Velocity)
(96000 kgm/s) / (32000kg) = (Final Velocity)
Final Velocity = 3 m/s
The speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
What is the law of conservation of momentum?The momentum of the body before the contact is always equal to the momentum of the body after the collision, according to the law of conservation of momentum.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
We have:
Mass of the empty coal car of train M(e) = 8000 kg
Speed V(e) = 12 m/s
Mass of the coal M(c) = 24000 kg
Let's suppose the speed of the coal car afterward V(c)
M(e) ×V(e) = (M(c)+M(e))× V(c)
8000×12 = (24000+8000)×V(c)
V(c) = 3 m/s
Thus, the speed of the coal car afterward is 3 m/s if an empty coal car of a train of mass 8000 kg is moving at 12 m/s along rails. 24000 kg of coal is dumped into the car from a motionless bin.
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A rollercoaster loop has a radius of 22.7 m. what is the minimum speed the coaster must have at the top of the loop to not fall off the track? (unit = m/s)
Answer:
v = 14.92 m/s
Explanation:
First, make a free body diagram and see the forces in the y-direction.
∑F_y = F_N - F_gUse Newton's 2nd Law F = ma to replace ∑F_y with m * a_y.
m * a_y = F_N - F_gThe acceleration in the y-direction is the centripetal acceleration, a_c = v^2/r.
m * v^2/r = F_N - mgThe normal force is 0 because this is where the rollercoaster is not falling off the track yet not touching the track.
m * v^2/r = - mgThe masses cancel out.
v^2/r = -gSolve for v to find the speed of the rollercoaster at the top of the loop.
v^2 = -(-9.81) * r v = √(9.81 * 22.7)v = 14.9227The minimum speed the coaster must have at the top of the loop to not fall off the track is 14.92 m/s.
Which scientist received a nobel prize for the discovery of x-rays?.
Answer:
That's Rontgen
Explanation:
Wilhem Rontgen
10. In the process of fusion, nuclear energy is
A. absorbed when a nucleus splits.
B. released when a nucleus splits.
C. released when nuclei join.
D. absorbed when nuclei switch places.
Answer:
B released when a nucleaus splits
A car drives down the road at 6m/s. The tires on the car have a diameter of .7m. How long does it take the car’s tires to complete one full rotation?
The time taken for the car's tires to complete one full rotation when it car drives down the road at 6m/s. The tires on the car have a diameter of .7m. is 0.37 s.
What is time?Time is the measure of the duration of past , present or future event.
To calculate the time taken for the tires to complete one full rotation, we use the formula below.
Formula:
v = 2πr/t............ Equation 1Where:
v = Velocity of the carr = radius of the tiret = timeπ = pie
Make t the subject of the equation
t = 2πr/v............... Equation 2From the question,
Given:
r = 0.7/2 = 0.35 mv = 6 m/sπ = 3.14Substitute these values into equation 2
t = (2×0.35×3.14)/6t = 0.37 s.Hence, The time taken for the car's tires to complete one full rotation is 0.37 s.
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What is the Atomic Mass / Weight for silver? *Round your answer to the nearest whole number
Is a dog barking an example of kinetic energy to potential energy