The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * [tex]10^{8}[/tex] km
P² = a³
P = Orbital period
a = Average distance
P = 1.88 years
a³ = 1.88²
a³ = 3.53
a = 1.52 AU
a = 1.52 * 1.496 * [tex]10^{8}[/tex] km
a = 2.27 * [tex]10^{8}[/tex] km
The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * [tex]10^{8}[/tex] km
Therefore, the average distance from mars to the sun is 2.27 * [tex]10^{8}[/tex] km
To know more about Kepler's third law
https://brainly.com/question/28901990
#SPJ9
At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 x 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-11 N•m²/kg².)
The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.
Give an example to define gravitational force.The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.
Where is gravity located?All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force
To know more about gravitational force visit:
https://brainly.com/question/12528243
#SPJ13
One way to find the mass of an object is to
measure its acceleration when a force acts on
it. If a force of 80 N causes a box to accelerate at
0.10 m/s², what is the mass of the box?
800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.
How does acceleration work?The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.
What qualities make a force?The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.
To know more about Acceleration, visit-https://brainly.com/question/3046924
#SPJ13
A 40 N force is applied to a 10 kg block, but the object only accelerates at 2 m/s?. Explain why this happens using a free-body diagram.
Using a free body diagram to explain the situation, the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.
What is net force on an object?
The net force on an object is the sum of all the forces acting on an object.
According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
F - Ff = ma
where;
F is the applied force on the objectFf is the force of friction on the objectm is the mass of the objecta is the acceleration of the objectIn the absence of friction force, the maximum acceleration of the block is calculated as;
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.
In free body diagram (FBD) this can be represented as;
F → Ф ← Ff
Learn more about free body diagram here: https://brainly.com/question/21691401
#SPJ1
according to particle model of light what happens to the speed of light as it enters a optically denser medium.
According to particle model of light, speed of light decreases as it enters a optically denser medium.
Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:
where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.
To know more about refraction, visit:
https://brainly.com/question/2660868
#SPJ9
What is the speed of the car with a distance of 100 meters in 35 seconds?
Answer:
Formula
V = D/TResolve:
V = 100m / 35sV = 2m/5Hope this helped
Hello..!
We first apply the data to the problem.
Data:
Depth = 100 metersT = 35sV = ?Then, we apply the formula that is.
Formula:
V = D/TFinally we develop the problem.
Developing:
V = 100m / 35sV = 2m/sThe speed is 2 meters per second.
If the motion of an object in the x direction and y direction is known, how can the total motion of the object be found?
Explanation:
resultant motion = √x² + y²
this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.
hope it helps. :)
Does the coaster car travel as high as point h
Answer:
no coaster car does not travel as high
what form of energy can you produce by rubbing an eraser against a piece of paper?
Answer:
it gets hot
Explanation:
because you are rubbing it hard
Technology has changed and continues to change the way we live our lives, directly affecting our health and wellness. List three ways that modern technology has enhanced people’s health and three ways that it has diminished their health. Address personal, family, and community health. Do you believe that the good outweighs the bad? Why or why not?
Advanced medicine, good healthcare and easy diagnose are three ways that modern technology has enhanced people’s health
Technology has changed how individuals go about their daily lives. Practically every action you take, including regular work and conversation, is affected by it. Thanks to technology, carrying out tasks around the house or going to work has become easier. Many gadgets and pieces of equipment make it easier for people to live. Transportation, education, and medicine are just a few of the societal fields it has affected.
Another significant benefit of technology in people's lives is the modernization of the healthcare industry. The days of waiting in an outpatient department queue for hours to see a doctor are long gone. Patients may schedule hospital visits and look up the business hours of their doctors' offices using mobile devices.
To know more about modern technology visit : https://brainly.com/question/10041745
#SPJ9
Ametal cube of side 6cm at 20 degree Celsius on
heating to 600 degree Celsius increases by 0.3cm
calculating the coefficient of linear expansion
coefficient of superficial expression
coefficient of cubical expansion
We have the following from the question;
The coefficient of linear expansion is 8.6 * 10^-5
The coefficient of superficial expression is 1.72 * 8.6 * 10^-4
The coefficient of cubical expansion is 2.5 * 10^-4
What is the linear expansivity?Let us recall that the term linear expansivity has to do with the increase in length, per unit length, per degree Kelvin rise in temperature. Now we know that we have the following information from the question;
Initial length = 6cm
Increase in length = 0.3cm
Initial temperature = 20 degree Celsius
Final temperature = 600 degree Celsius
We then have;
coefficient of linear expansion = e/[tex]l_{1}[/tex]([tex]T_{2}[/tex] - [tex]T_{1}[/tex])
e = extension
[tex]l_{1}[/tex] = initial length
[tex]T_{2}[/tex] = Final temperature
[tex]T_{1}[/tex] = initial temperature
coefficient of linear expansion = 0.3/6(600 - 20)
= 8.6 * 10^-5
coefficient of superficial expression = 2( 8.6 * 10^-5)
= 1.72 * 8.6 * 10^-4
coefficient of cubical expansion = 3(8.6 * 10^-5)
= 2.5 * 10^-4
Learn more about linear expansion:https://brainly.com/question/14780533
#SPJ1
A cart is sliding across a horizontal floor. It has a mass of 25 kg and a force of 250 N. Using Newton's second law, a = F ÷ m, what is the acceleration of the cart?
0.1 m/s2
5 m/s2
10 m/s2
25 m/s2
Answer:
10m/s2
Explanation:
250/25=10
Show that an electron falling from n = 4 to n = 3 in the hydrogen atom will produce a photon in the infrared region.
The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.
What is the energy of the hydrogen atom?We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.
We now have;
1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])
λ = wavelength
RH = Rydberg constant
The initial and the final levels are also shown therefore;
1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)
1/λ= 1.097 * 10^7 (0.11 - 0.0625)
λ=1.92 * 10^-6 m
Learn more about infrared:https://brainly.com/question/20779091
#SPJ1
Why does a power plant generator produce alternating current and not direct
current?
A power plant generator does easily generate alternating current and not direct
current simply because the AC current is far cheaper to produce.
Why is a power plant generator cheaper to generate alternating current?The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.
So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.
Read more on generator:
https://brainly.com/question/12475693
#SPJ1
A weightless spring of force constant 2.50 N/cm is 15.0 cm long when nothing is attached to it. It is now used to pull horizontally on a 12.5 kg box on a smooth horizontal floor. You observe that the box starts from rest and moves 96.0 cm during the first 1.60 s of its motion. How long is the spring during this motion?
The length of the spring during the motion is 16.875 cm
How do I determine the length of the spring?We'll begin by obtaining the velocity during the first 1.60 s. This is illustrated as follow:
Distance = 96 cm = 96 / 100 = 0.96 mTime = 1.60 sVelocity =?Velocity = distance / time
Velocity = 0.96 / 1.6
Velocity = 0.6 m/s
Next, we shall determine the acceleration.
Initial velocity (u) = 0 m/sFinal velocity (v) = 0.6 m/sTime (t) = 1.6 sAcceleration (a) =?a = (v – u) / t
a = (0.6 – 0) / 1.6
a = 0.6 / 1.6
a = 0.375 m/s²
Next, we shall determine the force.
Mass (m) = 12.5 kg
Acceleration (a) = 0.375 m/s²
Force (F) =?
Force = mass × acceleration
Force = 12.5 × 0.375
F = 4.6875 N
Next, we shall determine the extension of the spring.
Force (F) = 4.6875 NSpring constant (K) = 2.50 N/cmExtension (e) =?F = Ke
Divide both sides by K
e = F / K
e = 4.6875 / 2.5
e = 1.875 cm
Finally, we shall dtermin the length of the spring. This can be obtained as follow:
Original length = 15 cmExtended length = 1.875 cmLength of spring =?Length of spring = 15 + 1.875
Length of spring = 16.875 cm
Learn more about length of spring:
https://brainly.com/question/12982193
https://brainly.com/question/17029566
https://brainly.com/question/12643730
#SPJ1
give me a water analogy of an electric current with high current but low voltage
A battery is analogous to a pump in a water circuit
What is the water analogy for current ?A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.
Voltage, current, and power may all be explained using the water/hose analogy in relation to electricity. Generally speaking, charge, voltage, and current represent the flow, pressure, and charge of water, respectively. Water flowing continuously throughout time is referred to as power.An illustration of a water tank is frequently used to explain voltage, current, and resistance. This analogy compares charge to the volume of water, voltage to the pressure of the water, and current to the movement of the water.Learn more about Water analogy here:
https://brainly.com/question/14324419
#SPJ4
if the wet bulb depression is 3° and the dewpoint is 24°, what’s the relative humidity?
The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.
What is relative humidity?Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.
The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:
RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]
Where
RH = Relative Humidity
T = Air Temperature
Dp = Dewpoint
β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)
e = 2.7182818 [exponential constant]
Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart
As given on the chart and in the question;
T = 28°
Dp = 24°
Hence,
RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]
RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]
RH = 100 x (4.874414/6.176578)
RH = 100 x 0.789177113929
RH = 78.9177113929
RH [tex]\approx[/tex] 78.92%
Learn more about Relative Humidity:
https://brainly.com/question/22069910
#SPJ1
Which direction do the electrons move when the south end of the magnet goes through the coil?
Electrons will move in anti- clockwise direction in the coil when the south end of the magnet goes through the coil
If you flip the magnet to bring its south pole towards the coil, the current flows in the direction that produces a magnetic field whose south pole faces the magnet . And as we know that , in south pole of the coil , the current will move in clockwise direction . Hence , electrons will move in anticlockwise direction because electrons move in opposite direction of the current .
To learn more about magnetic field here :
https://brainly.com/question/23096032
#SPJ1
A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters
The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.
Velocity- The rate of change of displacement is the definition of velocity.
The formula below is used to determine the cannon ball's initial velocity.
Formula:
v² = u²+2gH......... Equation 1
Where:
v = Final velocity
u = Initial velocity
H = Height
g = Acceleration due to gravity.
From the question,
Given:
v = 0 m/s (At the maximum height)
H = 4.75 m
g = 9.8 m/s
Substitute these values into equation 1
0² = u²+2×9.8×4.75
u² = 93.1
u = √(93.1)
u = 9.65 m/s
Hence, the initial velocity of the cannonball is 9.65 m/s.
Know more about velocity at:
brainly.com/question/24739297
Can u pls show me what a velocity time graph would look like when it’s “moving at a negative constant velocity but then decelerates to a rest”? I cant figure out how it can decelerate to zero is deceleration is going down
If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period equals the change in velocity during that time period.
What happens to an acceleration graph when velocity is constant?Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.
During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.
To know more about the acceleration graph, visit:
https://brainly.com/question/27957119
#SPJ13
Explain how friction affects the mechanical energy of a system
Calculate the useful power output for an electric motor that uses 200 W and has an
efficiency of 40%
Correct option is B)
Power with which crane lifts the load =0.8×0.9 × input power
P=0.8×0.9×200 kW
Now, P=
F
.
v
Here, F=mg (since there is no acceleration)
10
3
×0.8×0.9×200=3.6×10
3
×10×v
⇒v=4 m/s
How do diet and exercise Positively affect cv disease risk
The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time? Explain your answer.
The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.
What is magnetic field?The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.
A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.
The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.
To learn more about magnetic field refer to the link:
brainly.com/question/14848188
#SPJ1
For one length of wire the potential difference across the wire was 1.68 V The current in the wire was 0.70 A calculate the resistance of the of this length of wire  
For one length of wire the potential difference across the wire was 1.68 V . The current in the wire was 0.70 A . The resistance of the of this length of wire will be 2.4 ohm
using ohm's law
V = IR
I = current
R = resistance
R = V/I
= 1.68 / 0.70 = 2.4 ohm
The resistance of the of this length of wire will be 2.4 ohm
To learn more about ohm's law here :
https://brainly.com/question/14874072
#SPJ1
A force of 10 N acts on a toy car of mass 2kg. What is the acceleration if the force is doubled?
Explanation:
According to newton's second law.
The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.
We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)
Here, the force experienced by the car is ⇒ F = 10 N
If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)
The mass of the car is ⇒ m = 2 kg (iii)
Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2
a = 10 m/s²
Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.
Learn to know more about acceleration on
https://brainly.com/question/254316
A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?
It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.
What is altitude?
Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of celestial object above the horizon, measured in angular distance.
Sol-A sign simply indicates multiplication operation.
As per the question we have given- a=accelaration =-2*101=-202m/s^2
(We use negative sign here because it opposes the gravitational force)
d= distance/altitude =9*103= 927 meters
V= initial velocity= 0 m/s
T = Time substituting,927=3.03 second.
To know more about altitude
click- https://brainly.com/question/1511617
#SPJ1
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
Helpp :'v
Hello..!
¿What is a series circuit?
A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.
Problem:
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
If we put two lamps in a series circuit, the following can be obtained: the voltage that enters the first lamp will go out in the second lamp, that is, if we have a switch and we turn the lamps on and off, they will light up together.If we have a circuit of three lamps, the same thing happens.If the L(2) bulb burns out or we take it out, what will happen is that there will not be enough voltage for the L(1) and L(3) bulbs and that means these two bulbs will not work. If we remove the lamp L(1), not enough voltage passes to the lamp L(2) and it is not enough for the L(3), because the lamp L(2) shares voltage with the L(2)If we remove the lamp L(3) we can turn off the lamp L(2) and L(1) as there is not enough voltage to turn them on.Why does it happen?
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.
The answer is that if we remove the L(3) lamp, the others stop working.
See more at:
https://brainly.com/question/15021687
[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]
Answer:
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.
Hope this helped
The figure shows an overhead view of a 1.40 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 38.0 g slides toward the opposite end of the rod with an initial velocity of 35.5 m/s. The disk strikes the rod and sticks to it. After the collision, the rod rotates about the pivot point.
A thin vertical rod has a point labeled pivot at its bottom, and a disk moving horizontally along an arrow labeled vector v that will reach the rod perpendicularly at the top.
(a) What is the angular velocity, in rad/s, of the two after the collision?
The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.
What is the angular velocity after collision?
The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;
I₁ω₁ = I₂ω₂
where;
I₁ is the initial moment of inertia of the rodI₂ is the final moment of inertia of the rodω₁ is the initial angular speed of the diskω₂ is the final angular velocity of the system after the collisionInitial moment of inertia of the rod is calculated as follows;
I₁ = ¹/₃ML²
where;
M is mass of the rodL is length of the rodI₁ = ¹/₃ x 1.4 x (1.2²)
I₁ = 0.67 kgm²
Final moment of inertia of the rod is calculated as;
I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)
I₂ = 0.69 kgm²
I₁ω₁ = I₂ω₂
0.67(0 + 35.5/1.2) = 0.69ω₂
19.82 = 0.69ω₂
ω₂ = 19.82/0.69
ω₂ = 28.7 rad/s
Learn more about angular momentum here: https://brainly.com/question/7538238
#SPJ1
Which method occurs in a refrigerator?
A. Conduction
B. Convection
C. Radiation
Convection is the method which occurs in a refrigerator
What is Convection ?Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.
Cool air sinks, hence the freezer is located at the top of a refrigerator. The warmer air rises, creating a convection current inside the refrigerator that helps keep it cool. Convection in refrigerators is crucial, so why? The food in the freezer cools the air at the top, which then cools the food as it descends.Learn more about Convection here:
https://brainly.com/question/9382711
#SPJ4
What ,begin emphasis,two,end emphasis, actions will ,begin emphasis,best,end emphasis, help people in Cape Town lessen the water shortage problem?
The following actions will help people in Cape Town to lessen the water shortage problem.
Diversifying the municipal water portfolio with water recycling, The desalination processUse of groundwater can reduce risk of water shortages due to droughtWhat is drought?A drought is described as a moisture deficit relative to the average water availability at a given location and season. A drought is also defined as drier than normal conditions.
Water shortage is becoming an increasing threat in Cape town because of climate change impacts which includes changing rainfall patterns and rising temperatures and increasing water demand.
In summary, the city of Cape town can develop engineering dams and 'importing' water through inter-basin transfer schemes to help in fighting drought.
Learn more about drought at: https://brainly.com/question/12686086
#SPJ1