7.53* 10²⁰ is the answer. Keq is an equation's representation of the equilibrium constant. If Keq is more than 1, this indicates that the product concentrations are higher than the reactant concentrations.
If Keq is less than 1, the reactant and product concentrations are out of balance. also see free energy and chemical equilibrium. The ratio of the molar concentrations of the reactants to those of the products, each concentration term raised to a power equal to the stoichiometric coefficient in the balanced chemical reaction, can be used to calculate the equilibrium constant. ΔG° = ΔH° - TΔS°
ΔG° = (-98.2 × 1000 J) - [(273 + 25) K] × (70.1 J/K)
= -119100 J
ΔG° = -RT ln(K) = [-8.314 J / (mol K)]
= -119100 J × [(273 + 25) K] ln(K)
= 48.07 K
= e48 07 K
= 7.53* 10²⁰
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a place kicker must kick the football from a point 26 m horizontally away from the goal posts, at ground level, and clear a bar 3.00 m above the ground. the ball leaves the ground with a speed of 20.0 m/s at an angle of 53.0 degrees above the horizontal. (a) by how much does the ball clear (positive value) or fall short (negative value) of the cross bar? (this is vertical distance above or below the cross bar.) [8.5,9.5] m (b) when the ball gets to the horizontal location of the cross bar, find the vertical component of the ball's velocity and tell whether the ball is rising or falling. magnitude of vy is in the range [5,6] m/s
a) The ball so misses the crossbar by 8.63m. b) The ball clears the goal on its way down since the time when the ball reaches its highest point is earlier than when it will arrive at the goal.
An object's projection onto a plane is that object's orthogonal projection. A vector's projection on an orthogonal straight line to a plane is what causes it to be rejected from that plane. Each one is a vector. Whereas the second is orthogonal, the first is parallel to the plane.
From the vector's origin to its farthest x-coordinate, the horizontal component runs. The vector's greatest vertical point is where the vertical component starts at the x-axis and terminates.
a) First we have to find the time at which the ball reaches the goal using the particle under constant velocity model in the x direction:
[tex]X_f=X_i+V_{xi}t[/tex]
[tex]t=\frac{X_f-X_i}{V_{xi} }[/tex]
[tex]t=\frac{(26-0)}{20 Cos53}[/tex]
[tex]t=2.16sec[/tex]
Now we also find the height of the ball at this moment using the model of a particle moving at constant speed in the y direction.
[tex]Y_f=Y_i+V_{yi}t+\frac{1}{2}a_yt^2[/tex]
[tex]Y_f=[0+20*(sin53)*2.16]-[\frac{1}{2}*9.80*(2.16)^2][/tex]
[tex]Y_f=11.63m[/tex]
The ball so misses the crossbar by
[tex]11.63-3.00=8.63m[/tex]
b) As the ball reaches its greatest point in its flight, use the particle under constant acceleration model to calculate the time.
[tex]V_{yf}= V_{yi}-gt[/tex]
[tex]t=\frac{V_{yf}-V_{yi}}{g}[/tex]
[tex]t=\frac{(20*sin53)-0}{9.80}[/tex]
[tex]t=1.63 sec[/tex]
The ball clears the goal on the way down since this is earlier than when it will arrive at the goal.
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what is the wavelength of a 7.65 x 10-17 j wave?
The required wavelength of the wave when energy of the wave is specified is calculated to be 2.6 × 10⁻⁹ m.
The energy of the wave is given as 7.65 × 10⁻¹⁷ J.
The relation between energy, wavelength, speed of light is known as,
E = h c /λ
where,
h is planck's constant
c is speed of light
λ is wavelength
E is energy
The value of speed of light c = 3 × 10⁸ m/s
The value of Planck's constant h = 6.62 × 10⁻³⁴ m²kg/s
Putting all the known values into the above equation by making wavelength as subject, we have,
E = h c /λ
λ = h c /E = (6.62 × 10⁻³⁴)(3 × 10⁸)/(7.65 × 10⁻¹⁷) = 2.6 × 10⁻⁹ m
Thus, the wavelength is calculated to be 2.6 × 10⁻⁹ m.
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what resistance would produce a current of 400 amperes from a socket putting out 2,000 volts?
Answer:
The resistance that would produce a current of 400 amperes from a socket putting out 2,000 volts is 5 ohms, calculated using the formula R = V/I, where V = 2,000 volts and I = 400 amperes.
Explanation:
So, a resistance of 5 ohm would result in a current of 400 amps from a 2,000 volt plug.
What is resistance?The opposition that a substance provides to the flow of electric current is referred to as resistance. The capital letter R represents it. The ohm is the standard unit of resistance, which is often written as a word and occasionally represented by the capital Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega (ohm). A conductor's resistance is defined as the ratio of potential difference across its end to current flowing through it. It is measured in ohms (omega).
Here,
The resistance can be calculated using Ohm's law: R = V / I, where V is voltage, I is current, and R is resistance.
R = 2000V / 400A = 5Ω
So, a resistance of 5Ω would produce a current of 400 amperes from a socket putting out 2,000 volts.
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A 3 kg ball is moving at 2.0 m/s to the right. It runs into a 1 kg ball moving at 0.5 m/s to the left. The balls bounce off each other.
Q. If the 3 kg ball moves at 1 m/s to the left after the collision, how fast must the 1 kg ball be going after the collision? Show the equation and work
Answer:
The Answer Is O.5 m/s
Explanation:
we have an equation:
m1u1 + m2u2=m1v1 + m2v2(u is for before collison and v is for after collision)
rearrange,
m1u1 + m2u2 - m1v1 ÷ m2 = v2Put values and answer will be 0.5m/s
Answer:
3.5
Explanation:
we have an equation:
m1u1+m2u2=m1v1+m2v2 where, m=mass
v=final velocity
u=intial velocity
then this means:
v2=m1u1+m2u2-m1v1÷m2
when we substitute on the equation:
v2=3×2.0+1×0.5-3×1÷1
=6+0.5-3
=6.5-3
=3.5
describe how to use a 250 μl adjustable micropipet to deliver 100 μl of liquid by placing the steps in the correct order.
The steps are as follows:
Calibrate the micropipet by adjusting the volume to 250 μl. Load the liquid into the micropipet by carefully drawing it into the tip. Release any air bubbles by tapping the tip and expelling a small amount of liquid. Adjust the micropipet volume to 100 μl. Deliver the liquid by gently squeezing the plunger to release the liquid.
A micropipet is a laboratory tool used to measure and dispense small volumes of liquid accurately, usually in the microliter range. It consists of a barrel, a plunger, and a tip and is commonly used in chemical, biological, and medical experiments. To use a micropipet in a laboratory setting, first choose the appropriate tip size for the volume of liquid you will be dispensing and attach it to the micropipet. Next, calibrate the micropipet by adjusting the volume to the desired amount. You can do this by rotating the micropipet's thumb wheel or by using the digital controls. Then, draw the liquid into the tip of the micropipet by carefully using the plunger. Make sure to release any air bubbles that may have been drawn into the tip by tapping the tip gently and expelling a small amount of liquid.
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one complete revolution of a conductor loop through a magnetic field is called a/an
A "cycle" is one full rotation of a conductor loop through a magnetic field. Alternating current (AC) is produced in the conductor by this cycle. The frequency of an AC wave is measured in cycles per second.
What is magnetic field?
A magnetic item is surrounded by a magnetic field, which acts as a force field on other magnetic things nearby. It is distinguished by lines of force that extend from the magnet's north pole to its south pole. Charged particles in motion and current-carrying conductors may both produce magnetic fields.
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A "cycle" is one full rotation of a conductor loop through a magnetic field. Alternating current (AC) is produced in the conductor by this cycle. The frequency of an AC wave is measured in cycles per second.
magnetic field A magnetic item is surrounded by a magnetic field, which acts as a force field on other magnetic things nearby. "cycle" is one full rotation of a conductor loop through a magnetic field. Alternating current (AC) is produced in the conductor by this cycle. The frequency of an AC wave is measured in cycles per second. It is distinguished by lines of force that extend from the magnet's north pole to its south pole. Charged particles in motion and current-carrying conductors may both produce magnetic fields.
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a proton is very far from the wire. what is the ratio ff/fi of the electric force on the proton after the segment is shrunk to the force before the segment was shrunk?
The ratio of the electric force on the proton (Ff/Fi) after the segment is shrunk to the force before the segment was shrunk is determined by the geometry of the wire.
When the segment is shrunk, the electric force on the proton decreases, as the proton is further from the wire. The ratio of the electric force on the proton after the wire is shrunk to the force before the wire was shrunk is given by the equation Ff/Fi = (l1/l2)^2, where l1 is the length of the wire before shrinking and l2 is the length of the wire after shrinking.
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(e) chapter 5 - problem 32. under what conditions, if any, will the trajectory of a charged particle not follow a field line?
a charged particle's trajectory won't resemble a field line:
The charged particle's trajectory will veer away from the field line if it is subjected to additional forces, such as a magnetic field or an electric field from another source.
The trajectory of a charged particle will alter and diverge from the field line if it collides with another particle.
Field lines illustrate the hypothetical path taken by a positive test charge in the presence of an electric field. The charged particle will follow the field lines if the conditions are such that it is only exposed to the portion of the electric field indicated by the field lines.The charged particle may encounter additional forces in real-world situations, which could cause it to diverge from the field lines in its trajectory.
For instance, a charged particle will move more crookedly than directly when a magnetic field is present. Additionally, if the charged particle collides with another particle, the trajectory will alter as a result of the momentum that is transferred, and the charged particle will stop following the field line.
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how does a machine make work easier? a machine makes work easier by changing . choose the three statements that apply.
Machines make work easier by A: "increasing the amount of force that is exerted", C: increasing the distance over which the force is exerted" ,and D: "changing the direction in which the force is exerted".
A machine makes work easier by increasing the mechanical advantage of the task being performed. Mechanical advantage refers to the ratio of the force applied to the machine to the force produced by the machine. By using a machine, a smaller force can be used to achieve the same result as using a larger force without the machine.
"
Complete question:
How does a machine make work easier?
by increasing the amount of force that is applied,
decreasing the distance over which the force is applied.
increasing the distance over which the force is applied.
changing the direction in which the force is applied.
"
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what is the angle between the vectors ⃗ and −⃗ when these vectors are drawn from a common origin?
Angle between two vectors:
Two vectors can be used to determine the angle between them by using the dot product formula. The dot product is the product of the magnitudes of the two vectors and the cosine of the angle between them. If we have two vectors, ⃗ and −⃗, the dot product of these two vectors can be determined as follows:
⃗ ⋅ −⃗ = |⃗||−⃗| cos θ
where θ is the angle between the two vectors.
To find the angle between two vectors, we can use the arccosine function, which is the inverse of the cosine function. The arccosine function returns the angle, in radians, whose cosine is a given value. Hence, to find the angle between two vectors, we can use the following formula:
θ = arccos (⃗ ⋅ −⃗ / |⃗||−⃗|)
Note that the dot product can only give us the cosine of the angle between two vectors, so we have to use the arccosine function to find the actual angle. The result will be in radians, but it can easily be converted to degrees if necessary.
In summary, to find the angle between two vectors, we first find the dot product of the two vectors, then divide that result by the product of the magnitudes of the two vectors. Finally, we find the arccosine of that result to obtain the angle between the two vectors.
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consider a strontium ion. there are four shells in this ion. how many electrons does it have in...
A strontium ion has four shells in this ion, so the number of electrons it have in is 36 electrons 29.
The chemical element strontium is a soft, silver-white, yellowish metallic element that is an alkaline earth metal and has a strong reactivity to chemicals. The most prevalent type of strontium found in dietary supplements is strontium chloride. Several distinct forms of strontium are employed in medicine.
Subatomic particles known as electrons have an intrinsic charge of magnitude -1. The size of an electron's charge is comparable to that of a proton, but its symbol is the opposite. The amount of electrons and protons in electrically neutral atoms and molecules should therefore be equivalent.
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last night i saw jupiter right in the middle of the big dipper. (hint: is the big dipper part of the zodiac?)
This statement does not make sense, because Jupiter, like all the planets, is always found very close to the ecliptic in the sky.
Can jupiter is big dipper?
No. The Big Dipper (Ursa Major) points only to Polaris, the current North Star.Jupiter is the planet of luck, expansion, growth and fulfillment in Astrology. It always brings blessings when it activates important natal planets in your birth chart.They're well known among amateur astronomers by the nickname The Pointers. At one time, sailors' livelihoods and survival depended on these pointer stars of the Big Dipper. Many considered them their lucky stars. Scouts also learn to use the Big Dipper and Polaris to find the direction north.Now if you point your phone in the space right opposite Orion you will find the Big Dipper/the great bear or the Saptrishi as it is known in Hindi. It is the third brightest constellation in the night sky.To learn more about jupiter refers to:
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for a nucleus to exhibit the nuclear magnetic resonance phenomenon, it must be magnetic. magnetic nuclei include:
The nuclei that exhibit the nuclear magnetic resonance phenomenon, the magnetic nuclei include all nuclei with even numbers of neutrons and protons.
Nuclei with certain magnetic characteristics are required in materials that take part in the MR process. The nuclei themselves must be tiny magnets with a magnetic property or magnetic moment in order for them to interact with a magnetic field.
An individual nucleus's neutron-proton composition determines its magnetic properties. Only some nuclides with an unusual balance of neutrons and protons exhibit magnetic properties.
All nuclei with even numbers of neutrons and protons are magnetic nuclei. Therefore, option a is correct.
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--The complete question is, For a nucleus to exhibit the nuclear magnetic resonance phenomenon, it must be magnetic. Magnetic nuclei
include:
a. all nuclei with even numbers of neutrons and protons
b. all nuclei with odd numbers of protons
c. all nuclei with odd numbers of neutrons
d. both b and c--
approximately how far does the moon move along the zodiac in one day? group of answer choices 3 degrees 60 degrees 24 degrees 12 degrees
The moon moves approximately 12 degrees along the zodiac in one day.
The Moon is the Earth's only natural satellite and the fifth largest moon in the Solar System. It is approximately one-quarter the size of Earth and is approximately 238,855 miles from Earth. The Moon's surface is characterized by craters, mountains, valleys, and vast plains. It has no atmosphere, no water, and only a small amount of dust. The Moon's surface is also heavily cratered, with many impact craters from collisions with meteoroids and asteroids. The Moon has a significant effect on Earth, producing tides, stabilizing the planet's axial tilt, and providing a unique environment for scientific research and exploration. The first humans landed on the Moon in 1969 as part of the Apollo 11 mission, and since then several missions have been sent to explore and study the Moon.
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You start an old record player and notice a bug on the surface close to the edge of the record. The record has a diameter of 12 inches and completes 33 revolutions each minute. 1-What is the speed of the bug in SI units? 2-What is the acceleration of the bug in SI units? 3-What would the bug's speed be if it were halfway between the center and the edge of the record? 4-What would the bug's acceleration be if it were halfway between the center and the edge of the record?
The speed and acceleration of the bug at the edge are v=0.53 m/s and a=1.82 m/s2 and the speed and acceleration at the center are v' = 0.27 m/s and a' = 0.91 m/s2.
The bugs speed;
v=rω
=12/2 x 24x4/1000 x33x2 pi /60
v=0.53 m/s
(1) 1′′=25.41′′=25.4 mm
(2) convert angular velocity ω from rev per minute to rad/s
The bugs acceleration;
a=v^2/r
=0.277/(12⋅25.4/2⋅1000)
a=1.82 m/s2
The bugs speed and acceleration at a radius;
r′=r/2
v' = r'w = rw/2 = v/2
= 0.53 /2
v' = 0.27 m/s
a' = v'^2 /r = 2v'^2 / r = v^2 /2r
= a/2
a' = 0.91 m/s2
Both speed and acceleration reduce by a factor of 2.
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a planet of mass m travels around a star in a circular orbit of radius r at orbital speed v. what is the magnitude of the gravitational force on the planet due to the star? express your answer in terms of m, r, and v only.
The magnitude of the gravitational force on the planet due to the star is mv²/r, if the mass of the planet is m, velocity v, and orbital radius is r.
When a planet orbits around a star the gravitational force between them, which is an attraction force, is balanced by the centrifugal force exerted on the planet due to its circular motion.
We can say that the magnitude of the centrifugal force is equal to the gravitational force. However the direction of the force will be opposite to each other.
gravitational force = centrifugal force = mv²/r
So the gravitational force in terms of m, v and r will be mv²/r.
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A 2kg crate rests on the floor. How much work is required to move it at constant speed 3m a frictionless air table,
The work required to move the crate is 30 Joules (J). This is calculated by multiplying the force (10N) by the distance (3m).
How much work is required to move it at constant speedThe amount of work required to move an object at a constant speed is equal to the force applied times the distance traveled.
Therefore, the amount of work required to move an object at a constant speed is dependent on the specifics of the situation,
such as the mass of the object and the distance it needs to be moved.
Explanation given below
In the given question force added ,(if the force required to move it is 10N)
Step 1: Calculate the work required to move the crate.
Work = Force x Distance
Work = 10N x 3m
Work = 30J
Step 2: Record the answer.
The work required to move the crate is 30J.
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suppose you have two identical resistors with resistance r. if you combine them in series, what will the total equivalent resistance be?
The equivalent resistance of two identical resistors connected in series is equal to the sum of their individual resistances. Therefore, in this case, the equivalent resistance of two resistors with resistance "r" each, connected in series, will be 2 x r ohms.
Resistance is a property of an electrical circuit that resists the flow of electric current. It is a measure of the opposition to the flow of current, and is expressed in units of ohms (Ω). The greater the resistance in a circuit, the less current will flow through it, and the greater the voltage required to maintain a given current. Resistance is an important factor in the design and operation of electrical and electronic systems, and plays a role in determining the efficiency, safety, and performance of these systems.
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Javier wants to improve his flexibility and increase his personal discipline. Which community resource should he select? (3 points)
a
Tennis lessons
b
Soccer league
c
Swim club
d
Karate class
Answer:
D. Karate class
D or Karate Class
Karate Class is the best way to learn discipline because you need focus to participate and need to know your surroundings which is part of discipline.
A student pushes a 40-n block across the floor for a distance of 10 m. how much work was done to move the block? responses a. 4 j b. 40 j c. 400 j d. 4,000 j
The work was done to move the block across the floor is 400 Joule.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Force applied on the block: F = 40 N.
Displacement of the box = 10 m.
Hence, work done to move the block = Force × Displacement
= 40 × 10 joule
= 400 joule.
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the vertical motion of mass a is defined by the relation x = cos(10t) – 0.1sin(10t), where x and t are expressed in mm and seconds, respectively. consider t = 0.35 s.
The vertical motion as position of mass "a" at t = 0.35 seconds is 0.8047 millimeters, when the relation is x = cos(10t) – 0.1sin(10t).
At t = 0.35 seconds, the vertical motion of mass "a" can be calculated as follows:
= x
= cos(10t) – 0.1sin(10t)
= cos(10 x 0.35) – 0.1sin(10 x 0.35)
= 0.8396 - 0.0349
= 0.8047 mm
So the vertical position of mass "a" at t = 0.35 seconds is 0.8047 millimeters.
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to what speed (in km h –1) could you theoretically accelerate a car (mass: 1t) with this energy
3.6 kmph speed (in km h –1) you could theoretically accelerate a car (mass: 1t) with this energy.
The speed to which you could theoretically accelerate a car of mass 1 metric ton (1000 kg) depends on the amount of energy available to do so. In physics, the relationship between energy and velocity is given by the formula:
E = [tex]0.5mv^2[/tex]
Where m is the mass of the car and v is its velocity. So to find the velocity, we can rearrange the formula to solve for v:
v = [tex]\sqrt{} (2E/m)[/tex]
If we assume that the energy available for acceleration is E, then the velocity can be calculated as follows:
v = [tex]\sqrt{} (2E/1000 kg)[/tex]
Note that the units of energy must be consistent with those in the accelerate formula. In this case, if E is given in joules, then the velocity will be in meters per second. To convert the velocity to km/h, we need to multiply by (3600 s/hr)/(1000 m/km) = 3.6. So:
v (km/hr) = [tex]\sqrt{} (2E/1000 kg) * 3.6[/tex]
This formula gives the theoretical maximum velocity that could be achieved, assuming all of the energy is used for acceleration and ignoring any other factors such as friction or air resistance.
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The complete question is
You have one coal available
To what speed (in km h –1) could you theoretically accelerate a car (mass: 1t) with this energy?
all of the planets in the solar system orbit the sun, but in which plane do most of them orbit?
All the planets in the solar system orbit the sun in approximately the same plane.
Planetary orbits in a far-off solar system are in line with the rotation of the star. The orbits of all known planets in this distant solar system nearly all lay in the same plane and are in line with the rotation of the star. This solar system is quite similar to our own.
Because the planets formed from a disc of material that enveloped the Sun during the Solar System's formation, their orbits are coplanar. All of the planets originated in a plane because that disc of dust was a disc, all in one. Rings and disks are common in astronomy.
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suppose you live on the moon. if the sun is currently on your meridian, how long will it take before the sun crosses your meridian again? group of answer choices 24 hours. 29.5 days 23 hours and 56 minutes. 18 years. 27.3 days.
The time it takes for the sun to cross the meridian again depends on the period of rotation of the moon. The moon rotates once in about 27.3 Earth days, so it takes about 27.3 days for the sun to cross the meridian again.
The solar system is a collection of celestial bodies, including the sun and all objects that orbit around it, such as planets, moons, asteroids, comets, and other smaller bodies. The eight planets in our solar system, in order from the sun, are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. The sun is the center of the solar system and provides most of the energy and light for the planets. The solar system is located in the Milky Way galaxy and is thought to have formed about 4.6 billion years ago. the time by the celestial body to cross the meridian is dependent on the shape of the body and the distance and speed.
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two bodies attract each other electrically. do they both have to have a net charge? explain. answer the same question if the bodies repel one another.
Both bodies must be charged in order to repel each other, but they do not both have to be charged to attract each other.
The attractive force between two bodies is due to the electromagnetic force, which acts between charged particles. So, if one of the bodies is charged, it will experience an attractive force toward a neutral body. However, if both bodies are charged with the same type of charge (i.e., both positive or both negative), they will experience a repulsive force.
If two bodies repel each other, it means that they are both charged with the same type of charge (i.e., both positive or both negative). This is because like charges repel each other and opposite charges attract. So, in order for two bodies to repel each other, they must both be charged.
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the unit of measurement of the magnetic field surrounding the periphery of the mr scanner is expressed as:
The magnetic field that surrounds the edge of the MR scanner is measured in units called Gauss.
How do MR scanners work?
A type of scan called magnetic resonance imaging (MRI) creates precise images of the inside of the body by combining radio waves and powerful magnetic fields. An MRI scanner is a sizable tube with strong magnets inside.
The same machine used for traditional MRI is used for MR spectroscopy. To produce precise images, the MRI scan makes use of a strong magnet, radio waves, and a computer.
One wearable device called mixed reality (MR) combines multiple technologies. A real-time digital overlay that interacts with objects in the physical world is displayed by MR lenses or headsets.
Milliseconds are used to measure it. TE, or echo time
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GETTING STARTED: If something is "charged," what does that mean? If something is "neutral," what does that mean?
Charged means that an object has an unequal number of protons and electrons, thus giving it an electrical charge. Neutral means that the object has an equal number of protons and electrons, thus giving it no electrical charge.
When something is "charged," it signifies that electrical energy has accumulated inside it and that it is prepared to be put to use. This can apply to a person who is enthusiastic and full of energy, or it can refer to an electrical component like a battery or capacitor. On the other side, if something is "neutral," it indicates that it is not charged with any electricity or energy and cannot be utilised for any purpose. This may be used to describe an electrical instrument that is devoid of charge or has been discharged as well as a person who is disinterested or indifferent in a certain scenario.
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On the planet Venus, a Venusian picks up a stone and drops it into a deep hole. If it falls 3 m in 1 second, how far will it fall in 2 seconds? You can neglect Venusian air resistance.
Under the effect of the planet's acceleration from gravity, a stone put on Venus will fall 35.48 m in 2 seconds.
The following formula can be used to determine the distance that an object falls while being pulled by gravity:
d = 1/2 * g * t^2
where g is the gravitational acceleration, t is the passing of time, and d is the distance fallen. On Venus, the acceleration brought on by gravity is equivalent to 8.87 m/s2.
The distance fell at t = 2 seconds would be as follows:
d = 1/2 * 8.87 m/s * (2 s), which is 1/2 * 8.87 m/s * (4 s), or 8.87 * 4 = 35.48 m.
The stone will therefore travel 35.48 metres on Venus in 2 seconds.Acceleration is the rate at which an object's velocity changes over time. It has metres per second squared (m/s2) as its SI unit of measurement and is a vector quantity. Different things, such forces acting on an item or modifications in the speed or direction of motion, can lead to acceleration.
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3. if the distance between earth and the moon is 3.8× 105 km, how many times bigger is the distance from earth to the nearest star, which is at a distance of 4.1× 1013 km?
The required ratio of distance between the earth to the nearest star to that of the earth and the moon is calculated to be 1.08 × 10⁸.
The distance between the earth and the moon is given as 3.8 × 10⁵ km.
The distance between the earth to the nearest star is given as 4.1× 10¹³ km.
The ratio of distance between the earth and the nearest star to the earth and the moon is calculated as,
⇒ (4.1× 10¹³ km)/(3.8 × 10⁵ km) = 1.08 × 10⁸
Thus, the distance from the earth to the nearest star is 1.08 × 10⁸ times bigger than the distance between the earth and the moon.
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what is the voltage at which one (1) capacitor stores the same amount of energy as four (4) capacitors, each charged to volts?
At 40 volts voltage a 3 μF capacitor will store the same amount of energy as four 3 μF capacitor do, when each charges to 20 volts.
Capacitance of the capacitor, C = 3 μF = 3 × 10⁻⁶ F
Voltage of four capacitors, V₂ = 20 volts
Let the voltage of the first capacitor, = V₁
We know the energy stored by the capacitor is formulated as, E = 0.5 CV²
0.5 CV₁² = 4 × 0.5 CV₂²
V₁² = 4 V₂²
V₁² = 4 × 20²
V₁² = 1600
V₁ = √1600
V₁ = 40 volts
--The given question is incomplete, the complete question is:
"what is the voltage at which one 3 μF capacitor stores the same amount of energy as four 3 μF capacitors, each charged 20 to volts?"--
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