If an object's tangential velocity at closest approach to Earth is less than the circular velocity, it will not have enough speed to maintain a stable orbit. Instead, it will follow a highly elliptical or hyperbolic trajectory, eventually moving away from the Earth.
When an object orbits the Earth, it needs to have a specific velocity known as the circular velocity to counteract the gravitational pull. The circular velocity depends on the mass of the Earth and the object's distance from its center. If the object's tangential velocity at closest approach is less than the circular velocity, it means that the object is not moving fast enough to overcome Earth's gravitational pull.
As a result, the object will follow an elliptical or hyperbolic trajectory rather than a stable orbit. In an elliptical orbit, the object will move away from Earth, reaching its farthest point (apoapsis) before returning to the closest point (periapsis). This path is repeated in a regular cycle.
On the other hand, if the object's velocity is high enough to surpass the escape velocity, it will follow a hyperbolic trajectory, which means it will move away from Earth indefinitely. This occurs when the object's velocity is sufficient to overcome the gravitational pull of the Earth entirely.
In either case, if an object's tangential velocity at closest approach is less than the circular velocity, it will not remain in a stable orbit and will either move along an elliptical path or escape the Earth's gravitational pull.
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a reaction has a standard free‑energy change of −12.50 kj mol−1(−2.988 kcal mol−1). calculate the equilibrium constant for the reaction at 25 °c.
The equilibrium constant for the reaction at 25°C is 6.50.
What is Equilibrium?
In a broad sense, equilibrium refers to a state of stability or balance in a system where opposing forces or elements are in proportionately equal or balanced amounts, resulting in a state of rest or unchanging conditions. It is a notion that is frequently applied in a number of disciplines, such as physics, chemistry, economics, and social sciences.
The relationship between the standard free-energy change and the equilibrium constant is given by the following equation:
ΔG° = -RT ln K
where ΔG° is the standard free-energy change, R is the gas constant (8.314 J K⁻¹ mol⁻¹ or 1.987 cal K⁻¹ mol⁻¹), T is the temperature in kelvin, and K is the equilibrium constant.
First, we need to convert the standard free-energy change from kilojoules per mole to joules per mole:
ΔG° = -12.50 kJ mol⁻¹ = -12,500 J mol⁻¹
Next, we need to convert the temperature from Celsius to kelvin:
T = 25°C + 273.15 = 298.15 K
Now we can plug these values into the equation and solve for K:
ΔG° = -RT ln K
-12,500 J mol⁻¹ = -(8.314 J K⁻¹ mol⁻¹)(298.15 K) ln K
ln K = (-12,500 J mol⁻¹) / [-(8.314 J K⁻¹ mol⁻¹)(298.15 K)]
ln K = 1.871
\(K = e^{(ln K)} = e^{(1.871)} = 6.50\)
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If you're walking on the ice cream at 5 ounces per toaster, and your bicycle loses a sock, how much gravy will you need to repaint your hamster?
Answer:
False you dont repaint your hamster.
Explanation:
LOL
Explain how energy balance sets planetary temperature? Imagine a planet colder than expected for energy balance and explain why it warms up just enough to achieve energy balance but no more (assume no greenhouse gases).
The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.
What is the process of attaining thermal equilibrium by Earth?
The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.
We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.
Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.
A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.
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Please answer fast
A 50 kg boy jumps off the front of a 1.5 kg skateboard moving forward. Find the skateboard's velocity
immediately after the boy jumps, assuming that the skateboard's initial velocity is 3.5 m/s and the boy's
velocity when jumping off the front is 5 m/s?
Answer:
The speed is 1.35 m/s
Explanation:
(m1+m2) vi= m1+m2v2
(50+1.5) (3.5)=50 (5+v2) +1.5 v2
180.25= 250+ 51.5 v2
180.25- 250+ 51.5 v2
-69.75= 51.5 v2
v2= -1.35 m
Subject- Science 6th grade
please help with my hw. Thank you!
plz help, dont need to do the last question
Answer:
Explanation:
I dont understand what its saying .....?
Which element or molecule in the air is useful for freezing?
A. Carbon dioxide
B. Water vapor
C. Oxygen
D. Nitrogen
Answer:
The answer for this question is B water vapor
Explanation:
just trust me bro
which of the following statements are true regarding the electromagnetic spectrum?check all that apply.which of the following statements are true regarding the electromagnetic spectrum?check all that apply.visible light lies at the center of the electromagnetic spectrum.radio waves have wavelengths on the order of meters and very low photon energies.x rays and gamma rays have very long wavelengths and very low photon energies.infrared radiation has long wavelengths and low photon energies.ultraviolet radiation has long wavelengths and low photon energies.
Answer:
Visible light lies at the center of the electromagnetic spectrum
(infrared has longer wavelength than visible light and ultraviolet has shorter wavelengths than visible light)
Of the last three only infrared light with long wavelengths and low photon energy can be true. (Along with the first two)
(Radio waves are of the order of meters with low photon energies)
What happens in both hemispheres when Earth is at position c
When the Earth is at point C, Equinox happens.
In Equinox, the Sun is directly above the equitor making day and night equal in both hemispheres.
Describe the relationship between frequency and wavelength.
Answer:
frequency is equal to the wavelength multiply by the speed of light
Explanation:
wavelength multiply by the speed of light Will give you the frequency
What must happen for electricity to be useful in your home?
Answer:
current must flow and chemical energy must take place
3. Ryder hits a tennis ball 2.0 m from the ground. The initial velocity is directed horizontally and is 17.2 m/s. The ball hits the ground 11.0 m away from the player after passing over a 1.0 m high net that is 6.0 m horizontally from the player.
2K,1C
4T,1C
How long does it take for the ball to reach the ground?
What was the magnitude of the final velocity of the ball?
Answer:
Explanation: 6 m / s , with the center of the ball leaving the racquet horizontally 2 . 37 m above the court surface. The net is 12 m away and 0 . 90 m high.
If there is 3.4 m3 of methane gas in a container with a pressure of 18.9 atm and the container expands until the methane has a pressure of 2.2 atm, what is the final volume of the methane? Temperature is constant at 305 K. A. 12.23 m3 B. 141.37 m3 C. 29.21 m3 OD. 2.53 m3
Answer:
C. 29.21 m³
Explanation:
Given the following data;
Initial volume, V1 = 3.4 m³Initial pressure, P1 = 18.9 atmFinal pressure, P2 = 2.2 atmTo find the final volume, we would use Boyle's law;
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
PV = K
\( P_{1}V_{1} = P_{2}V_{2} \)
Making V2 the subject of formula, we have;
\( V_{2} = \frac {P_{1}V_{1}}{P_{2}} \)
Substituting the values into the formula, we have;
\( V_{2} = \frac {18.9 * 3.4}{2.2} \)
\( V_{2} = \frac {64.26}{2.2} \)
Final volume, V2 = 29.21 m³
A steel ball whose mass is 100 g is rolling at a rate of 2.8 m/sec. What is it’s momentum?
Answer:
The momentum of the steel ball is 0.28 kg m/sec.
Explanation:
The momentum of an object can be calculated using the formula: momentum = mass x velocity. In this case, the mass of the steel ball is 100 g, which is equivalent to 0.1 kg. The velocity of the ball is 2.8 m/sec. Plugging in the values into the formula, we get:
momentum = 0.1 kg x 2.8 m/sec
momentum = 0.28 kg m/sec
So the momentum of the steel ball is 0.28 kg m/sec.
What distance is required for a train to stop when traveling 50 miles per hour? half mile one and a half miles four miles
One and a half miles of distance is required for a train to stop when traveling 50 miles per hour.
Rate of change in position, or speed, is equal to distance traveled divided by time. To solve for time, divide the distance traveled by the rate.
Rearranging the formula,
Speed = distance / time.
Distance = speed × time.
Time = distance / speed.
Hence,
Distance = Speed × Time
⇒ Distance = 50 × 60 / 2000
⇒ Distance = 1.5 miles
⇒ Thus, the distance which is required to stop a train is 1.5 miles, which is, One and a half miles.
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does anyone know the answers to these ?
the maximum gauge pressure in a hydraulic lift is 17.0 atm. what is the largest-size vehicle (kg) it can lift if the diameter of the output line is 25.5 cm?
Largest-size vehicle (kg) it can lift if the diameter of the output and maximum gauge pressure is given is 0.455 * 10³ kg.
What is gauge pressure?Pressure that is measured relative to ambient atmospheric pressure is called gauge pressure. Gauge pressure can be measured using a diaphragm sensor in which one side of the diaphragm is exposed to the pressure media that is to be measured and the other side gets exposed to ambient atmospheric pressure.
Given the diameter of the piston = 25.5 cm,
radius = 12.75 cm= 0.1275 m
Area of the piston is;
A= πr²
= 3.14 * (0.1275)²
=0.051 m²
Given maximum pressure of the lift= 17 atm
p =1.72 * 10⁶ Pa
Maximum force that piston can lift:
F= p * A
= 1.72 * 10⁶ *( 0.051 )²
= 4.47 * 10³ N
Size of the vehicle :
m = F/g
= 4.47* 10³/ 9.81
mass = 0.455 * 10³ kg
Largest-size vehicle that it can lift is 0.455 * 10³ kg.
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The active elements of the fractal computation are the pixels.true/false
True. The active elements of fractal computation are indeed the pixels, which are the individual units that make up a digital image.
Fractal computation involves performing complex calculations and iterations on these pixels to generate the intricate patterns and structures that characterize fractals.
True. In the context of fractal computation, the active elements are the pixels, as they represent the individual data points that are calculated and displayed to form the fractal image.
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Which two options are forms of potential energy?
O A. Electrical energy
B. Elastic energy
O C. Magnetic energy
D. Light energy
O E. Sound energy
A. Electrical energy B. Elastic energy are the forms of potential energy.
What is potential energy?Potential energy is the energy possess by an object because due to its position relative to other objects, stresses within itself, its electric charge, or other factors.
Types of Potential energy:
Elastic potential energy - It is stored in objects that can either be stretched or compressed. The more the object is stretched or compressed, the more elastic potential energy it will have. A classic example is a stretched rubber bandElectric potential energy - Is the energy that is needed to move a charge against an electric field. We need more energy to move a charge in the electric field, but also more energy to move it through a stronger electric field.Therefore,
Electrical energy , Elastic energy are the forms of potential energy.
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An airplane accelerates down a runmway at 2.9 m/s/s for 38.5 seconds
until if lifts off the ground. Determine the distance traveled on the runway
before taking off. (Answer to the nearest one's place. Enter only the
number of meters, no units) *
Distance be s
\(\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2\)
\(\\ \sf\longmapsto s=0(38.5)+\dfrac{1}{2}(2.9)(38.5)^2\)
\(\\ \sf\longmapsto s=1.45(1482.25)\)
\(\\ \sf\longmapsto s=2149.26m\)
Which of the following can sometimes be zero for a moving body i average velocity ii distance travelled iii average speed iv displacement
Answer:
displacement can be zero...because it only care about initial and final positionsRigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 4. 00 rad/s. (The center of mass of mass m1 = 4. 60 kg is at location y1 = 3. 45 m, the center of mass of m2 = 2. 30 kg is at y2 = −2. 30 m, and the center of mass of m3 = 3. 45 kg is at y3 = −4. 60 m. )
The rotational kinetic energy of the system is 448.6276 kg * m^2/s^2.
What is rotational kinetic energy?Rotational kinetic energy is the energy that an object possesses due to its rotation about an axis. It is a form of mechanical energy that is associated with the motion of a rotating body.
Calculation:The moment of inertia of the system about the x axis can be calculated using the formula for the moment of inertia of a system of particles:
I = Σ (mi * ri^2)
where
mi = mass of particle i
ri = distance from particle i to the axis of rotation (in this case, the x axis)
Substituting the values for the masses and distances, we get:
I = (4.60 kg * (3.45 m)^2) + (2.30 kg * (-2.30 m)^2) + (3.45 kg * (-4.60 m)^2)
= (4.60 kg * 11.9225 m^2) + (2.30 kg * 5.29 m^2) + (3.45 kg * 21.16 m^2)
= 55.7927 kg * m^2
So, the moment of inertia of the system about the x axis is 55.7927 kg * m^2.
The rotational kinetic energy of the system can be calculated using the formula:
K = 0.5 * I * ω^2
where
ω = angular speed (4.00 rad/s)
Substituting the values for I and ω, we get:
K = 0.5 * (55.7927 kg * m^2) * (4.00 rad/s)^2
= 0.5 * 55.7927 kg * m^2 * 16.00 (rad/s)^2
= 448.6276 kg * m^2/s^2
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2. Write a paragraph summarizing how chandragupta maurya built and ruled the mauryan empire. Use these words or phrases in your summary: kingdoms, conquer, unite, force, central government.
Chandragupta Maurya was an emperor of the Indian subcontinent who stood out for unifying much of the territory and establishing a strong and stable government.
Who was Chandragupta Maurya?Chandragupta Maurya (340 BC-293BC), was a leader who stands out as the founder of the Maurya Empire where he unified most of the territory of the Indian subcontinent. Therefore, he is considered the first authentic emperor of India.
In general, Chandragupta Maurya's rule was noted for he conquered the Nanda dynasty's territory in the north of the Indian subcontinent and continued to join new territories to his empire.
This empire also annexed the Pandya and Cheras kingdoms in South India. However, they thus preserved their independence and accepted the supremacy of the Mauryan emperor.
Additionally, this empire was characterized by having a very strong central government that ruled from the capital city of Pataliputra (now near Patna).
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when a human cannon ball shoots in the air for 9 seconds, she travels 37 meters before ut lands. Caculate the speed
Answer:
9.1 mph
Explanation:
The force of air particles over an area is_____?
what is acceleration
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An astronaut is 1.83 m tall. She is lying in a spaceship parallel to the direction of its motion at 0.9 c relative to the space station. What is her height as measured from the space station?
The astronaut's height, as measured from the space station, will appear contracted due to relativistic effects. Due to relativistic length contraction, the astronaut's height, as measured from the space station, appears to be approximately 3.52 meters.
According to the theory of special relativity, objects in motion relative to an observer will experience length contraction along the direction of motion. In this case, the spaceship is moving at a speed of 0.9 times the speed of light (0.9 c) relative to the space station.
The length contraction factor, denoted by γ, can be calculated using the Lorentz factor:
γ = 1 / √(1 - v²/c²)
Where v is the velocity of the spaceship and c is the speed of light. Plugging in the values, we have:
γ = 1 / √(1 - 0.9²)
γ ≈ 1.92
To determine the astronaut's height as measured from the space station, we multiply her actual height by the length contraction factor:
Height (as measured from the space station) = Actual height × γ
Height (as measured from the space station) = 1.83 m × 1.92
Height (as measured from the space station) ≈ 3.52 m
Therefore, due to relativistic length contraction, the astronaut's height, as measured from the space station, appears to be approximately 3.52 meters.
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How much heat in joules must be added to 1.073 kg of boryfium to change it from a solid at 914"С to a liquid at 1285 C (its melting point)? For beryllium b= 135x10Jg. L, 3.24x10 JA, C = 1820 kg C Uni
To calculate the total heat required to change the state of beryllium from a solid at 914°C to a liquid at 1285°C, we need to consider the heat required for two processes.
Given data:
Molar mass of beryllium, B = 9.01 g/mol
Density, d = 1820 kg/m³
Melting point of beryllium, T1 = 1285 °C (Correction: The given melting point should be 1285°C, not 914°C)
Specific heat capacity of beryllium, c = 1.82 J/g°C
Boiling point of beryllium, T2 = 2469 °C
Heat of fusion of beryllium, L = 135 x 10³ J/kg
Mass of beryllium, m = 1.073 kg
Melting point of beryllium, T1 = 1285 °C (Correction: The given melting point should be 1285°C, not 914°C)
Boiling point of beryllium, T2 = 2469 °C
Specific heat capacity of beryllium, c = 1.82 J/g°C
Heat of fusion of beryllium, L = 135 x 10³ J/kg
1. Heat required for the phase change from solid to liquid at the melting point (Q1):
Q1 = mL
Q1 = 1.073 kg × (135 × 10³ J/kg)
Q1 = 144,855 J
2. Heat required to raise the temperature of the liquid beryllium from its melting point to the boiling point (Q2):
Q2 = mcΔT
Q2 = 1.073 kg × 1000 g/kg × 1.82 J/g°C × (2469 - 1285) °C
Q2 = 1,747,586.4 J
The total heat required is the sum of Q1 and Q2:
Total heat = Q1 + Q2
Total heat = 144,855 J + 1,747,586.4 J
Total heat = 1,892,441.4 J
Therefore, the amount of heat in joules that must be added to 1.073 kg of beryllium to change it from a solid at 914°C to a liquid at 1285°C is approximately 1,892,441.4 J.
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Which substance would require the most heat to produce a temperature change liquid water or gaseous water vapor?
Answer:
Notice that for all substances, the heat of vaporization is substantially higher than the heat of fusion. Much more energy is required to change the state from a liquid to a gas than from a solid to a liquid.
Gaseous water would require the most heat to produce a temperature change.
What is meant by intermolecular force ?Intermolecular force is defined as the force of attraction existing between the neighboring molecules in a container that holds the together.
Here,
Evaporation is the process of conversion of liquid water into gaseous water vapor.
Condensation is the process of conversion of gaseous water vapor into liquid water.
Condensation occurs under higher temperature than that of evaporation. Condensation requires more temperature because the energy for separating the molecules in the gaseous state is comparatively higher. In order to convert the gaseous state into liquid state, it requires a greater intermolecular forces so that the gaseous molecules are brought more closer. The intermolecular force needed for the process of evaporation is lesser when compared to condensation. So, the heat required in evaporation is comparatively less.
Hence,
Gaseous water would require the most heat to produce a temperature change.
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Find the vector using parallelogram law [and Pythagoras theorem (h² = a² + o²) h being the hypothenuse, a being the adjacent side and o being the opposite side]
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
What is Pythagorean Theorem called?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. The Pythagorean equation, which is typically used to express this theorem, can be expressed as an equation linking the lengths of the legs (a, b), and the hypotenuse (c):
There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids. The Pythagorean theorem has garnered interest outside of mathematics as a representation of mathematical mystique, power, or obscurity; there are numerous references to it in popular works of fiction, dramas, musicals, songs, stamps, and cartoons.
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