what role does gravity have in the motion of planets around the sun?
Answer:
The gravity helps the planets stay together near the Sun, without it Earth would be floating away with the planet eventually becoming frozen up, thus the role gravity have in the motion of planets around the sun is by keeping them together.
Explanation:
Hope this helps!
Find the center of mass of the region bounded by y=9-x^2 y=5/2x , and the z-axis. Center of Mass = __?
Note: You can earn partial credit on this problem.
The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.
The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].
Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.
Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).
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Satellite A has a mass of 1. 5x10^3 kilograms and is traveling east at 8. 0x10^3 meters per second. Satellite B is traveling west at 6. 0x10^3 meters per second. The satellites collide head-on and come to rest. What is the mass of satellite B?
The mass of satellite B is equal to 2 X 10³ Kg.
Mass of satellite A = m = 1.5 X 10³ Kg
Mass of satellite B = m'
Velocity of satellite A = v = 8 X 10³ m/s
Velocity of satellite B = v' = 6 X 10³ m/s
To find mass of satellite B = m' =
Using the theorem of conservation of linear momentum we get,
= momentum of satellites initially = momentum of satellites finally
= mv + m'v' = m(0) + m'(0)
= mv + m'(-v') = 0
= mv = + (m'v')
= 1.5 X 10³ X 8 X 10³ = m' X 6 X 10³
= m' = ( 1.5 X 10³ X 8 X 10³ ) / 6 X 10³
= m' = 2000 Kg
Thus, mass of satellite B is 2 X 10³ Kg.
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True of false. An advantage of electromagnets is they can be switched on and off.
Answer:
True
Explanation:
Electromagnets can be switched on and off
Answer:
TRUEEEE
Explanation:
A book with a mass of 1 kg is dropped from a height of 3 m. what is the potential energy of the book when it reaches the floor
Answer:
PE=mgh
Where; m is the mass
g is the gravitational force.
h is the height.
the mass is 1kg, the acceleration due to gravity has a constant value of 10ms² . And the height is 3m.
mgh= 1 x 10 x 3 = 30Joules
Which form of government shares goods and services equally, and the political power is disturbing among the people?
Answer:
Socialist
Explanation:
Answer: socialist
Explanation: A socialist form of government is where the goods and services are equally shared, and the political power is distributed among the people.
Laser light is
a. Polychromatic
b. Invisible
c. Monochromatic
d. None of the above
Answer:
a monochromatic
Explanation:
because now you no need to worry about it and you can just answer in your paper
A graph showing the kinetic energy of a 10 kg object at different
speeds is provided:
Answer:
20 Joules
Explanation:
by seeing the Graph, we know that the graph will be curved. Then we can assume that the KE at speed 2 m/s is 20 Joules. But lets count it:
KE = ½ x m x v²
KE = ½ x 10 x 2²
KE = 5 x 4 = 20 Joules
a)What is the current I 1 through the resistor R 2?
b) What is the the potential difference across each of the two resistors R2,R3?
In this given circuit, there are two resistors, R2 and R3 connected in series with a battery of 12 V as shown below;\(\Delta V = V = 12 V\)Let us first find the total resistance of the circuit.
Using the formula, resistances in series add up to give the total resistance of the circuit\(R_T = R_2 + R_3 = 8\ \Omega + 12\ \Omega = 20\ \Omega\)
Using Ohm's Law; the current through the circuit can be calculated as follows;
\(I_T = \frac{V}{R_T} = \frac{12\ V}{20\ \Omega} = 0.6\ A\)
Thus, the current through each of the resistors, R2 and R3 is the same and it is equal to the total current of the circuit;\(I_1 = I_2 = 0.6\ A\)
The potential difference across each of the two resistors, R2 and R3 is different because of the difference in resistance. Using Ohm's Law, the potential difference across each resistor can be calculated as follows;
\(\Delta V_2 = V_{R_2} = I_2 \cdot R_2 = 0.6\ A \cdot 8\ \Omega = 4.8\ V\)
\(\Delta V_3 = V_{R_3} = I_2 \cdot R_3 = 0.6\ A \cdot 12\ \Omega = 7.2\ V\)
Thus, the potential difference across resistor R2 is 4.8 V and across resistor R3 is 7.2 V.
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HELP ME PLSSS What are the possible genotypes
of the F, offspring? What are the
possible phenotypes of the F,
offspring?
Answer:
the answer is b i think
Answer:Within an individual organism, the specific combination of alleles for a gene is known as the genotype of the organism, and (as mentioned above) the physical trait associated with that genotype is called the phenotype of the organism.
Explanation:
The phenotype is the trait those genes express. ... Looking at the possible offspring, each box (or possible offspring) has two copies of the dominant gene. This means there is a 100% chance of the offspring having brown eyes, or being BB. It's important to note here that each box represents a possible offspring.
Plato and descrates thoughts about life, and how we should see the life
Plato and Descartes were both influential philosophers who explored various aspects of life and provided their perspectives on how we should perceive it. While their ideas may differ in certain aspects, they both offer valuable insights on the nature of life and our understanding of it.
Plato, a philosopher in ancient Greece, believed that life was more than just the physical world we perceive. He argued that there exists a higher realm of ideal forms or concepts, and our earthly existence is a mere reflection or imperfect representation of these forms.
Plato emphasized the importance of seeking knowledge and wisdom to attain a deeper understanding of life and the true nature of reality.
On the other hand, René Descartes, a prominent philosopher in the 17th century, approached the concept of life from a more rational and introspective perspective.
He famously proclaimed, "I think, therefore I am," emphasizing the significance of individual consciousness and self-awareness. Descartes encouraged critical thinking and doubted traditional beliefs, urging individuals to question and examine their own existence and the world around them.
In terms of how we should view life, both philosophers stressed the importance of intellectual inquiry and self-reflection. Plato believed in the pursuit of knowledge and the realization of higher truths, while Descartes highlighted the importance of individual reflection and skepticism to arrive at certain knowledge.
In summary, while Plato and Descartes may have different philosophical frameworks, they both recognized the significance of intellectual exploration and self-reflection in understanding life.
Their thoughts remind us to question assumptions, seek wisdom, and engage in a deeper examination of our existence to gain a more profound understanding of life's meaning and purpose.
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If the contact angle is 104 ∘ , what is the magnitude of the adhesive force between the particle and the surface?
It is not possible to establish the magnitude of the adhesive force that exists between the particle and the surface of the liquid without first determining the surface tension of the liquid.
The contact angle between a particle and a surface is the angle formed by the liquid-solid interface at the point where the liquid droplet meets the solid surface. In this case, the contact angle is given as 104 degrees.
The magnitude of the adhesive force between the particle and the surface can be determined by considering the surface tension of the liquid and the contact angle. The surface tension is the force acting per unit length at the liquid-solid interface. It can be thought of as the cohesive force within the liquid that causes it to form droplets.
The adhesive force is directly related to the surface tension and the cosine of the contact angle. The formula for the adhesive force is given by:
Adhesive force = Surface tension × cos(contact angle)
In this case, we are not provided with the value of the surface tension. Therefore, it is not possible to determine the magnitude of the adhesive force without that information. The value of the surface tension will determine the strength of the adhesive force between the particle and the surface.
To find the value of the adhesive force, we would need to know the surface tension of the liquid. With this information, we can calculate the adhesive force using the formula mentioned above.
In summary, the magnitude of the adhesive force between the particle and the surface cannot be determined without knowing the surface tension of the liquid.
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What is the linear diameter (in meters) of an object that has an angular diameter of 25 arcseconds and a distance of 65 km
The linear diameter of an object with an angular diameter of 25 arcseconds and a distance of 65 km will be 0.067 meters.
Linear Diameter = (Angular Diameter ×Distance) / 206264.81.
In this case, the linear diameter would be 0.067 meters.
To put this into context, a linear diameter of 0.067 meters is approximately equal to 6.7 centimeters, or 2.6 inches. To put this another way, it is approximately the size of a large grape. As such, it is incredibly small and would be difficult to see with the eye.
Therefore the linear diameter of the object is 0.067 meters
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how do you feed a dog medicine
There are lots more but these are the best
Consider the modified Atwood machine shown in Figure 13.11. The two weights on the left have equal masses m and are connected by a massless spring of force constant k. The weight on the right has mass M = 2m, and the pulley is massless and frictionless. The coordinate x is the extension of the spring from its equilibrium length; that is, the length of the spring is l. + x where is the equilibrium length (with all the weights in position and M held stationary). (a) Show that the total potential energy
In the modified Atwood machine shown in Figure 13.11, the two weights on the left have equal masses m and are connected by a massless spring of force constant k. The weight on the right has mass M = 2m, and the pulley is massless and frictionless. The coordinate x is the extension of the spring from its equilibrium length. We need to find the total potential energy of the system.
Let us first consider the potential energy of the spring. The potential energy of a spring is given by the equation U = 1/2 kx^2, where k is the force constant of the spring, and x is the displacement of the spring from its equilibrium position. In this case, the extension of the spring is x, so the potential energy of the spring is U_spring = 1/2 kx^2.
Next, we need to consider the gravitational potential energy of the weights. The gravitational potential energy of an object of mass m at a height h above the ground is given by U_gravity = mgh, where g is the acceleration due to gravity and h is the height of the object above the ground. In this case, the height difference between the two masses on the left and the mass on the right is l - x, so the potential energy of the left weights is U_left = 2mgl - 2mgx.
The mass on the right has a height of zero, so its gravitational potential energy is U_right = 0.
Therefore, the total potential energy of the system is given by U_total = U_spring + U_left + U_right = 1/2 kx^2 + 2mgl - 2mgx.
In conclusion, we have derived an expression for the total potential energy of the modified Atwood machine. This expression shows that the potential energy of the system is dependent on the extension of the spring, the acceleration due to gravity, and the masses of the weights.
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In a reverse fault, the fault part that lies below the other part is called the _____.
A. syncline
B. shear wall
C. footwall
D. hanging wall
PLZ HELP!
Answer:
D
Explanation:
Sound travels slowest through gases _____________________. Group of answer choices because the molecules of gas are close together because gases are air because the molecules of gas are far apart because gases have the lowest temperature
Convert 1.5 days to s
Convert 5.2 ft to m
Convert 3600 s to hr
Convert 10.2 m to ft
Convert 305 g to kg
Convert 180 pm to m
Convert 73 kg to g
Convert 1,366 s to min
Convert 86,000 m to km
Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!
One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 seconds in a day.
What is the formula for days to seconds?The information about how many seconds there are in a minute, how many minutes there are in an hour, and how many hours there are in a day can be used to quickly and efficiently answer this question. The next step is to convert 90 minutes into hours and minutes because there are only 60 minutes in an hour: 90 60 = 1.5 hours. A minute has 60 seconds, thus an hour (60 mins) has 3,600 seconds (60 x 60), and if you multiply that number by three hours, you get 10,800 seconds. Assuming that each month has 30 days, a whole year has 360 days. A different European approach (30E+/360) Date A will be modified if it coincides with the 31st of a given month.To learn more about days to seconds refer to:
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pls help with science!!!!!
Answer:
Your answer is C~
Explanation:
Analyze the data to identify the mathematical relationship between the amplitude and energy of a mechanical wave. If mechanical wave A has an amplitude of 1 cm and mechanical wave B has an amplitude of 2 cm, what will be the relationship between the energy carried by the two waves?
The relationship between the amplitude and energy of a mechanical wave is given by the equation E = (1/2)*ρ*A^2*v.
What is energy?Energy is the ability to do work or cause change. It exists in many different forms, including kinetic energy (the energy of moving objects), potential energy (stored energy), thermal energy (the energy of heat), electrical energy (energy carried by electrons), chemical energy (the energy stored in the bonds of atoms and molecules), and nuclear energy (the energy released during nuclear reactions).
Using this equation, we can calculate the energy of mechanical wave A and mechanical wave B. If mechanical wave A has an amplitude of 1 cm, and mechanical wave B has an amplitude of 2 cm, then the energy carried by mechanical wave A is 1/2*ρ*1^2*v and the energy carried by mechanical wave B is 1/2*ρ*2^2*v. This means that the energy carried by mechanical wave B is 4 times the energy carried by mechanical wave A, since 2^2 is equal to 4. Therefore, the relationship between the energy carried by the two waves is that mechanical wave B carries four times more energy than mechanical wave A.
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Petuina rolls 16Km a day and it take her 1.25hrs. How fast is petuina rolling?
The speed of the petunia rolls is obtained from the calculation as 12.8 Km/hr.
What is speed?The term speed is the ratio of the distance to the time that is taken by a body. We know that speed is how we would know how fast or slow that a material is moving and the unit that we can use to measure the speed of an object is kilometers per hour.
Distance covered by the object = 16Km
Time taken by the object = 1.25hrs
Speed = Distance/ Time
Speed = 16Km/ 1.25hrs
= 12.8 Km/hr
The speed is 12.8 Km/hr.
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What do we call the study of solar system and the objects in it.
Answer:
I'm pretty sure it's called Astronomy
Explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: Astronomy
Explanation: Astronomy is objects we can see with our eyes, like the Sun , the Moon , the planets, and the stars . It also includes objects we can only see with telescopes or other instruments, like faraway galaxies and tiny particles.
I hope this helps ;o o;
If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same
Answer:
a. increase
Explanation:
Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.
the drawing shows three containers filled to the same height with the same fluid. in which container, if any, is the pressure at the bottom greatest?
If a rock falls from a cliff, at what point are its kinetic energy and its potential energy the same? Ignore air resistance.
Answer:
The gravitational potential energy it had from being above the ground is converted to kinetic energy as the rock falls. As kinetic energy increases, the velocity of the rock will also increase.
Explanation:
Which planets are considered jovian? O Jupiter, Saturn, Uranus, Neptune O Mercury, Venus, Earth, Mars O Earth, Mars, Uranus, Neptune O None of the above O Mercury, Venus, Jupiter, Saturn
The jovian planets in our solar system include Jupiter, Saturn, Uranus, and Neptune. These gas giants are distinct from the terrestrial planets like Mercury, Venus, Earth, and Mars.
Jovian planets, namely Jupiter, Saturn, Uranus, and Neptune, are characterized by their composition and physical properties. They are primarily composed of gases and lack a solid surface. Jovian planets are much larger in size compared to the terrestrial planets.
They possess thick atmospheres with swirling cloud formations and dynamic weather systems. These gas giants also have a significant number of moons and are accompanied by planetary rings made up of dust and ice particles.
Jovian planets are located farther away from the Sun and have lower densities compared to the terrestrial planets. Their unique characteristics distinguish them from the rocky, inner planets like Mercury, Venus, Earth, and Mars.
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if a bullet of unknown mass is fired from a gun with 50m/s. such that the recoil of the gun is -0.3m/s if the mass of gun is 8 kg .find the mass of the bullet
Answer:
1333.34 kg
Explanation:
Given that,
The mass of the gun, m = 8 kg
Speed of the bullet, V = 50 m/s
The recoil speed of the gun, v = -0.3 m/s
We need to find the mass of the bullet. Using the conservation of momentum to find it. Let M is the mass of the bullet.
\(mv=MV\\\\M=\dfrac{mv}{V}\\\\=\dfrac{50\times 8}{0.3}\\\\=1333.34\ kg\)
So, the mass of the bullet is 1333.34 kg.
A box of mass 60 kg is at rest on a horizontal floor that has a static coefficient of friction of 0.6 and a kinetic coefficient of 0.25
a)The minimum force necessary to start moving the box
b) The friction force and the acceleration of the box if a horizontal force of 400 N is applied
Answer:
a) F = 353.2 N
b) \(F_{f} = 147.2 N \)
a = 4.21 m/s²
Explanation:
a) The minimum force necessary to start moving the box s given by:
\(\Sigma F = 0\)
\( F - \mu_{s}N = 0 \)
\( F = \mu_{s}mg \)
Where:
F: is the force applied to move the box
μs: is the static coefficient of friction = 0.6
m: is the mass = 60 kg
g: is the gravity = 9.81 m/s²
\( F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N \)
b) The acceleration is:
\( F - F_{f} = ma \)
\( F - \mu_{k}mg = ma \)
\( a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} \)
Now, the friction force is:
\( F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N \)
I hope it helps you!
Two microwave frequencies are authorized for use in microwave ovens, 890 and 2550 MHz. Calculate the wavelength (in cm) of each.
The wavelengths are approximately 33.71 cm for 890 MHz and 11.76 cm for 2550 MHz.
The wavelength of a wave is inversely proportional to its frequency. The formula to calculate wavelength is λ = c/f, where λ represents the wavelength, c is the speed of light (approximately \(3*10^8\) meters per second), and f is the frequency of the wave. To convert the frequency from megahertz (MHz) to hertz (Hz), we multiply the frequency by \(10^6\).
For the first frequency of 890 MHz, we can calculate the wavelength as follows:
λ = c/f = \((3*10^8 m/s)/(890*10^6 Hz)\) ≈ 33.71 cm.
Similarly, for the second frequency of 2550 MHz:
λ = c/f = \((3*10^8 m/s)/(2550*10^6 Hz)\) ≈ 11.76 cm.
Hence, the wavelength of the authorized microwave frequencies used in microwave ovens is approximately 33.71 cm for 890 MHz and 11.76 cm for 2550 MHz. These wavelengths determine the size and shape of the microwave oven cavity, ensuring that the microwaves are resonant and can efficiently heat food.
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An object of unknown mass is swung in a vertical circle at the end of a light string, as seen in the figure above. A measurement is made of the object’s tangential speed at the bottom circular path. A student must determine the tension in the string at the bottom of the circular path. Which of the following measurements, in conjunction with the object’s tangential speed, are required to determine the tension in the string? select two answers.
The two measurements, in conjunction with the object's tangential speed, that are required to determine the tension in the string are:1. The radius of the circular path2. The mass of the object
Explanation:The centripetal force acting on the object is the tension in the string. This tension is necessary to maintain the circular motion of the object. In this case, the student can calculate the tension in the string by using the following formula: T = mv²/r, where T is the tension, m is the mass of the object, v is the tangential speed of the object at the bottom circular path, and r is the radius of the circular path.
Therefore, the radius of the circular path and the mass of the object are required measurements in conjunction with the object's tangential speed to determine the tension in the string.
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