When a boxer is moving away from a punch, the force experienced is reduced because the impact time, or the duration of the impact, is increased.
Why the force is reduced?When an object is in motion and is suddenly subjected to a force, the magnitude of the force depends on both the strength of the force and the time over which it is applied. The longer the impact time, the lower the average force experienced by the object.
By moving away from the punch, the boxer effectively increases the impact time, spreading out the force of the punch over a longer period of time and reducing the average force experienced. This is similar to the idea of a "glancing blow," in which a moving object experiences a reduced force if it is only partially hit, as opposed to being hit head-on.
This is why boxers often move away from punches and try to dodge them, rather than trying to absorb them head-on. By reducing the force of the punch, they can avoid being knocked out or seriously injured, and can stay in the fight.
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The following angles are given in degrees and fractions of degrees. Rewrite them in degrees, arcminutes, and arcseconds.
A. 24.2 degrees?
B. 1.56 degrees?
C. 0.1 degrees?
D. 0.01 degrees?
E. 0.001 degrees?
60 arcseconds makes 1 arcminute and 60 arcminutes makes 1 degree. This can be converted by multiplying the decimal points by 60.
24.2 degrees = 24 degrees + 0.2× 60 arcminutes= 24 degrees and 12 arcminutes1.56 degrees = 1 degree + 0.56×60 arcminutes = 1 degree + 33.2 arcminutes = 1 degree + 33 arcminutes + 12 arcseconds.0.1 = 0.1×60 = 6 arcminutes0.01 = 0.01×60 = 0.6 arcminutes = 36 arcseconds0.001 degrees = 0.001× 60 arcminutes =0.06 arcminutes = 0.06×60 = 3.6 arcsecondsSo 24.2 degrees = 24 degrees and 12 arcminutes
1.56 degrees = 1 degree 33 arcminutes and 12 arcseconds
0.1 degrees is 6 arcminutes
0.01 degrees = 36 arcseconds
0.001 degrees = 3.6 arcseconds
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The potential (relative to infinity) at the midpoint of a square is 3. 0 v when a point charge of +q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +q?.
12V is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +q
What constitutes a potential difference?
Potential difference that might exist between any two points is the amount of work required to move a unit positive charge along any path from one point to another without accelerating in an electric field.
V = kq /r
Due to the fact that each charge in the square has the same charge and is located at an equal distance from the point, they will all result in the same potential (the distance from a corner to the center of a square is the same for every corner). Therefore, all four charges must create a potential of 3.0 V if only one charge does. In other words, the supplied potential must be multiplied by four to represent the total potential.
Required potential will be 4*3 i.e. 12V
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If the velocities of individual neutrons are known to within 2. 0% of this value, what is the uncertainty in the position of one of them?.
The uncertainty in one neutron's position is 2.0% if the individual neutrons' velocities are known to within 2.0% of this value.
Describe neutrons.
Each atom's nucleus contains two subatomic particles called neutrons and protons. Hydrogen is the sole exception, as it has a single proton in its nucleus. In comparison to positively charged protons, neutrons are slightly heavier and have an electric charge that is neither positive nor negative.
One up quark and two down quarks make up neutrons. One of the four fundamental forces, the "strong nuclear force," keeps the nucleus together. Positively charged protons have a tendency to repel one another, but the strong force prevents this from happening.
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The 2.0 kg wood box slides down a vertical wood wall while you push on it at a 45 degree angle. What magnitude of force should you apply to cause the box to slide down at a constant speed?
To cause the box to slide down the wall at a constant speed, the net force acting on the box must be zero. This means that the force of gravity pulling the box down must be balanced by the frictional force between the box and the wall, and any additional force you apply.
What is frictional force?Frictional force is a force that opposes motion between two surfaces that are in contact. It acts parallel to the surfaces and in the direction opposite to the direction of the force that would cause the object to slide. Frictional force is the result of the interaction of the microscopic roughness of the two surfaces and the molecular forces between them.
Friction has a variety of important practical applications, from helping us to grip objects and walk on surfaces, to making it possible for cars to drive on roads and for machines to operate smoothly. The magnitude of the frictional force depends on the nature of the two surfaces in contact, the force pressing them together, and the condition of the surfaces (e.g., whether they are dry, lubricated, etc.).
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two point masses m and m are separated by a distance d. if the separation d remains fixed and the masses are increased to the values 3m and 3m respectively, how does the gravitational force between them change?
The force of gravitational attraction increases by 9 as the two point masses increase by 3.
Gravitational force of attraction, F is the force that pulls two point masses, m and M which are separated by a distance, d.
Mathematically,
Fg = GMm/r^2
Initially,
M1 = M1
M2 = M2
The remaining parameters are unchanged.
Fg1 = G * M1 * m1/(d/2)^2
Then,
M1 = 3M1
M2 = 3M2
Fg2 = G * 3M1 * 3M2/(d/2)^2
Making the constants G/(d/2)^2 the subject of formula and then comparing both equations,
= Fg1 = (M1 * M2); Fg2 = (9 * M1 * M2)
= Fg2 = 9 * Fg1
The force of gravitational attraction increases by 9 as the two point masses increase by 3.
What is gravitational force?
Newton's cannonball is a "thought experiment" he offered that supports the idea that gravity is a fundamental force that governs planetary motion.He pretended to be a cannon on the summit of a very high mountain peak in this thinking experiment. If the cannon is fired after being filled with gunpowder, the following situations could occur.To know more about gravitational force, click the link given below:
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under electrostatic conditions, the electric field inside a solid conductor points towards the surface of the conductor. True/False ?
False. Under electrostatic conditions, there is no electric field inside a solid conductor only if the conductor is in a state of electrostatic equilibrium. In other words, if the conductor is charged, there will be an electric field inside the conductor, but it will decrease rapidly as you move away from the surface of the conductor.
What is electric field?The electric field is a field that represents the force that would be exerted on a charged particle at a particular point in space. It is a measure of the intensity of the electric force that a charged object would experience if placed at that point in space.
The electric field can be represented mathematically as a vector field and is typically denoted by the symbol "E". It is a measure of the force per unit charge & has units of volts per meter (V/m). The direction of the electric field at a particular point is the direction of the force that would be exerted on a positive test charge placed at that point.
Electric fields are a fundamental concept in electricity and electromagnetism and play an important role in a wide range of applications, including electric motors, generators, and electronic devices. They are used to describe the behaviour of charged particles and the interactions between charged particles, and are an essential tool for understanding and describing the behaviour of electric and magnetic fields.
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why does time = 2h/g?
h = height
g = gravitational acceleration
Answer:
Explanation:
I assume you meant to type t = √2h/g and you're referring to an object in free fall: If so, here's my answer:
x = x₀ + v₀t + 1/2at²
for an object in free fall x - x₀ = h (height the object falls)
v₀ = 0 (if the object starts at rest)
a = g
Therefore,
h = 1/2gt²
t² = 2h/g
t = √2h/g
The distance, d, an object travels is represented by the equation d = rt, where r represents the average rate of speed and t represents time. Determine the units of t if d is measured in feet and r is measured in feet per second.
According to the question: the units of t in the equation d = rt are seconds.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions or the relationship between different quantities. It usually consists of an equal sign and two expressions that are separated by the sign. Equations are used in a variety of different disciplines, including mathematics, engineering, and physics. They are used to solve problems and to analyze relationships between different variables.
This is because feet per second (r) is a unit of speed,
which is the rate at which distance is covered (d).
Since speed is the rate of change of distance over time, the units of time (t) must be seconds in order to cancel out the units of speed (feet per second). Therefore, the units of t in the equation d = rt are seconds.
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How cold does it have to be to throw water in the air and have it freeze?
how many mg in a teaspoon
One teaspoon is equal to approximately 5 milligrams (mg).
Milligrams (mg) is a unit of measurement commonly used to quantify the quantity of a substance found in a given sample or dose. One milligram is identical to one-thousandth of a gram, and it's far regularly used in medicine to measure the efficiency of a drug or complement.
While a medicine is prescribed, it is generally measured in milligrams, with the dosage being decided by way of the patient's age, weight, and scientific circumstance. as an instance, a patient might be prescribed 500 mg of ibuprofen to control pain and infection. further to its use in medicinal drug, milligrams also are used in medical research, food and nutrients labeling, and industrial production. know-how the connection between milligrams and other gadgets of size, inclusive of grams and micrograms, is important for correctly measuring and administering substances.
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Complete Question: -
How many mg in one teaspoon ?
Rank the following in order of decreasing wavelength: infrared radiation, gamma rays, visible light, ultraviolet light, radiowaves
The parts of the electromagnetic spectrum are designated as follows, from highest to lowest energy: gamma rays, X-rays, ultraviolet light, visible light, infrared radiation, and radio waves.
Does energy correspond to wavelength?Wavelength and frequency have a connection to energy just as they do to light. Higher frequency and shorter wavelengths are correlated with more energy. Therefore, lower energy is produced when the wavelengths are longer and the frequency is lower.
Does wavelength imply velocity?The separation between two similar locations on adjacent waves is known as their wavelength. Wave frequency is the quantity of waves passing a particular place in a predetermined period of time. This equation demonstrates the connections between the three variables: Speed is equal to Wavelength x Wave Frequency.
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A change in the average kinetic energy of the molecules of an object may best be detected by measuring a change in the object's.
Temperature. The average kinetic energy of the molecules of an object is related to its temperature.
What is kinetic energy?Kinetic energy is the energy of an object in motion. It is the energy associated with the movement of an object or particle, and it is equal to the work done by a force on an object to put it into motion. Kinetic energy is often referred to as the energy of motion and can be found in many forms, from the energy stored in objects such as a car or truck to the energy stored in the movement of electrons within an atom.
As the average kinetic energy of the molecules increases, the temperature of the object increases. Thus, a change in the average kinetic energy of the molecules of an object can be detected by measuring a change in the object's temperature.
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Based on what you learned about telescopes, select all of the correct statements from the following list.A. There would be some chromatic aberration.B. Recently built modern telescopes are reflectors.C. -Most types of electromagnetic waves are not visible to ground-based telescopes.- The Compton, Chandra and Spitzer telescopes are all examples of space telescopes.D. Find the location of cool hydrogen gas and see through dust clouds.
Based on what you learned about telescopes, it is true that Recently built modern telescopes are reflectors. Option b is correct.
Chromatic Aberration occurs when a lens fails to focus light rays colors to the same focal point, only in refractors. Reflectors, on the other hand, use mirrors instead of lenses to reflect light. Most modern observatories use reflectors because their telescopes are so huge. Refractors would not be practical.
There would be no limit to what an optical telescope in space could see. Telescopes cannot identify the hydrogen gases.
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What ocean contains the spot where 0° longitude meets 0° latitude?
The spot where 0° longitude meets 0° latitude is located in the Atlantic Ocean. This point is known as the Prime Meridian.
What is a Prime Meridian?
The Prime Meridian is an imaginary line that runs from the North Pole to the South Pole and is defined as 0° longitude. It is used as a reference line from which longitudes are measured, with longitudes to the east being positive and longitudes to the west being negative. The Prime Meridian is important because it helps to establish a global coordinate system that can be used to accurately describe the location of places on the Earth's surface. The Prime Meridian was first established by the British in 1851 and is now recognized as the standard by which the world measures longitude. It is also known as the Greenwich Meridian because it passes through the Royal Observatory in Greenwich, London, England. The Prime Meridian and the International Date Line (located at 180° longitude) divide the Earth into the Eastern Hemisphere and the Western Hemisphere.
The Prime Meridian is now widely recognized as the standard for measuring longitude, and is used by geographers, navigators, and cartographers around the world. It is also the reference point for the Greenwich Mean Time (GMT), which is the time standard used by many countries around the world, including the United Kingdom.
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Two solid spheres, both of radius 5cm, carry identical total charges of 2μC. Sphere A is a good conductor.Sphere B is an insulator, and its charge is distributed uniformly throughout its volume.How do the magnitudes of the electric fields they separately create at radius 4 cm compare?1. EA > EB = 0 2. EA > EB > 0 3. EA = EB > 04. 0 < EA < EB5. 0 = EA < EB
The magnitude of the electric field E created by a charged sphere at a distance r from its center is given by:
How is electric field created ?E = kQ/r^2
where k is Coulomb's constant, Q is the total charge on the sphere, and r is the distance from the center of the sphere.For sphere A, since it is a good conductor, the charge is distributed uniformly on its surface. So the total charge Q is given by:
Q = 2μC
The electric field E created by sphere A at a distance of 4 cm from its center is:
EA = kQ/r^2 = k(2μC)/(0.04m)^2
For sphere B, since its charge is distributed uniformly throughout its volume, the total charge Q is given by:
Q = (4/3)πr^3ρ
where ρ is the charge density, which is equal to Q/V, where V is the volume of the sphere. Since the charge is distributed uniformly, the charge density is constant. Thus,Q = (4/3)πr^3ρ = (4/3)π(0.05m)^3(2μC/((4/3)π(0.05m)^3)) = 2μC
The electric field E created by sphere B at a distance of 4 cm from its center is:EB = kQ/r^2 = k(2μC)/(0.04m)^2
Therefore, we can see that EA = EB, which means that option 3 is correct: EA = EB > 0.
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4. What is found in the C horizon of a soil profile?
A. Partially weathered rock
B.the subsoil layer
C. topsoil
D. Mostly humus and litter
Rock that has partially weathered can be found in a soil profile's C horizon.
What exactly do soil horizons mean?horizon: an unique layer of soil that is roughly parallel to the land surface and whose characteristics are the result of the interactions between living things and percolating water. The topsoil, for instance, is referred to as the A horizon, while the subsoil B horizons are the name given to horizons.
What is horizon level?"Eye level" and "horizon line" are frequently used interchangeably. The term "horizon line" or "eye level" refers to a physical/visual line dividing sky from land or sea. Whether viewing an object, an interior scene, or an external scene, it refers to the real height of the viewer's eyes.
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What is the specific heat of a 3.78 kg object that absorbs 678 J as the temperature increases by 4.25 K?
Answer:
Below
Explanation:
Specific heat has units of J / (kg C)
( a degree of C is the same as one K)
Sub in the values
678 J / (3.78 kg * 4.25 C) = spec heat = 42.2 J/(kg-K)
A pressure gage and a manometer are connected to a compressed air tank to measure its pressure. If the reading on the pressure gage is 11 kPa, determine the distance h between the two fluid levels of the water filled manometer. Assume the density of water is 1000 kg/m^3 and the atmospheric pressure is 101 kPa.
Distance between the two fluid levels in the manometer is 0.00916 meters or 9.16 millimeters.
A manometer is a device used to measure pressure by comparing it to the pressure of a fluid in a column. In this case, the manometer is filled with water, and is connected to the compressed air tank alongside a pressure gauge. The pressure gauge indicates that the pressure inside the tank is 11 kPa, but the manometer measures the difference between the pressure inside the tank and the atmospheric pressure. To calculate the distance h between the two fluid levels in the manometer, we need to use the following formula:
ΔP = ρgh
where ΔP is the pressure difference, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two fluid levels.
First, we need to calculate the pressure difference between the air inside the tank and the atmospheric pressure:
ΔP = [tex]P_t - P_a[/tex] = 11 kPa - 101 kPa = -90 kPa
The negative sign indicates that the pressure inside the tank is lower than the atmospheric pressure. Next, we can plug in the values of ρ and g, which are [tex]1000 kg/m^3[/tex] and [tex]9.81 m/s^2[/tex], respectively:
[tex]-90 kPa = 1000 kg/m^3 * 9.81 m/s^2 * h[/tex]
Solving for h, we get:
h = [tex]-90 kPa / (1000 kg/m^3 * 9.81 m/s^2)[/tex] = -0.00916 m
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what is product kab cosmetics mini tinted lip oil in good vibrations?
A faint splash of colour and hydration and nourishment are both provided by the "Good Vibrations" Kab Cosmetics Mini Tinted Lip Oil.
Product Kab Cosmetics Mini Tinted Lip Oil in "Good Vibrations" is a lip product that provides a sheer wash of color while also hydrating and nourishing the lips. The lip oil is formulated with a blend of natural oils, including jojoba oil, coconut oil, and vitamin E, which work together to moisturize and protect the delicate skin of the lips.
The product comes in a mini size that is convenient for on-the-go touch-ups, and the shade "Good Vibrations" is a coral-pink hue that adds a natural-looking pop of color to the lips.
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Two spheres, 1.00 kg each, whose centers are 2.00m apart, would have what gravatational force between them? (gravitational constant = 6.67×10⁻¹¹ m³ kg⁻¹ s⁻²)
The gravitational force between the two spheres of mass 1 kg will be 1.6675 × 10⁻¹¹ Newtons.
What is Gravitational force?The gravitational force could be described as a force of attraction or the attractive force which attracts all the physical forms which are having some mass. Gravitational force is by far the weakest recognized natural force on this planet.
F = Gm₁m₂/ r²
F = Gravitational force,
G = Gravitational constant,
m₁ and m₂ are the masses of the two objects,
r is the distance between the two objects.
F = Gm₁m₂/ r²
F = 6.67 × 10⁻¹¹ × 1 × 1/ (2)²
F = 6.67 × 10⁻¹¹/ 4
F = 1.6675 × 10⁻¹¹ N
Therefore, the gravitational force will be 1.6675 × 10⁻¹¹ Newtons.
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1 Suppose that you try to lift an object by exerting an upward force of 5 Newtons on it. If gravity exerts a force of 10 Newtons downward on the object, what is the total force on the object? a. 15 Newtons upward
b. 10 Newtons downward
c. 5 Newtons upward
d. 15 Newtons downward
e. 5 Newtons downward
The force applied on the object will be 5 newton in the downward direction due to the gravitational force acting on it.
if 5N force is applied in the upward direction then the force is said to be applied in +ve y axis where as the force of 10N due to gravitation applied downwards is said to be applied in the -ve y axis.
Both the forces hence will cancel out each other.
The total force applied on the objet can be represented as:
+5N + (-10N) = -5N
hence the force applied on the object is 5N in the downward direction.
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Show that Prefix micro is thousand times greater than prefix nano.
Micro is 1 in 1000000 where as nano indicates the amount as 1 in 10⁹. Thus, the micro is 10³ times or 1000 times greater than the amount in nano.
What is the unit micro indicates ?There are different kinds of units for the same physical quantity which are used in different national and international systems or using based on the size etc. These units can be interchanged based on certain relationship between them.
Micro , nano, milli , kilo etc are various prefix used to indicate the size of a measurement. For example if they are used in mass, they are called as micrograms, nanograms etc. If in volume they are microliters, nanoliters etc.
Now, micro indicates 10⁻⁶ and one nano unit is 10⁻⁹.
lets take mass.
1 g = 10⁶ micrograms
1 g = 10⁹ nanograms.
then 1 nanogram = 10⁻⁹ grams
1 microgram = 10⁻⁶ grams
Then one microgram is 10⁻⁶ / 10⁻⁹ = 10³ or 1000 times greater than one nanogram.
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what happens when a charged insulating object is brought near an uncharged conducting object without touching it?
When a charged insulating object is brought near an uncharged conducting object without touching it, the electric field of the charged insulating object will induce a redistribution of charges in the conducting object.
The electrons in the conducting object will be attracted to the side of the object closest to the charged insulator, while the protons will be repelled to the other side. This redistribution of charges will create an induced charge on the surface of the conductor that is opposite in sign to the charge on the insulating object.
If the insulating object has a positive charge, for example, the electrons in the conductor will be attracted to the side nearest to the charged object, creating a negative induced charge on that side of the conductor.
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The current direction is shown for a current carrying wire in a magnetic field
What direction is the magnetic force?
A. __ Up the page
B. __ Down the page
C. __Right
D. __ Left
E. __ Into the page
F. __ Out of the page
G. __ None or imposible situation
H. __ Cannot be determined
at what temperature can you throw water in the air and it freezes?
At the temperature -40°C (-40°F), can you throw water in the air and it freezes.
This is known as the "flash freezing" point. It is the temperature at which water droplets instantly freeze when they come into contact with cold air.
This will occur in some actual temperature also. That will depend on various factors such as the size of the water droplets, the humidity of the air, and the speed of the wind.
The air around the freezing water droplets does not necessarily have to be in the temperature -40°C. For water to freeze in the air, the air temperature must be below this given temperature in at least some of the places. In many places the this is true also.
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Which of the following spectral series of hydrogen atoms is lying in a visible range of electromagnetic waves?
(A) Paschen series
(B) Pfund series
(C) Lyman series
(D) Balmer series
The spectral series of hydrogen atoms, lying in a visible range of electromagnetic waves is Balmer series. The correct answer is (D).
A series of wavelengths organised sequentially that describe light or other electromagnetic radiation emitted by energised atoms is known as a spectral series.
The Balmer series of hydrogen atoms is the spectral series that lies in the visible range of electromagnetic waves. This series corresponds to the electron transitions from higher energy levels (n>2) to the second energy level (n=2).
The visible range of electromagnetic waves includes wavelengths between 400 and 700 nm, and the Balmer series includes wavelengths within this range.
The other spectral series of hydrogen atoms, including the Paschen series (infrared), Pfund series (infrared), and Lyman series (ultraviolet), lie outside of the visible range of electromagnetic waves.
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Select all the characteristics that apply to an atomic orbital.
A. Identified by a unique combination of four quantum numbers.
B. Defined by the square of the wave function (ψ2).
C. Identified by a unique combination of three quantum numbers.
D. Defined by the wave function (ψ).
E. A shell in an atom containing the valence electrons.
F. A region around the nucleus of an atom where the probability of finding an electron is high.
The characteristics that apply to atomic orbitals is, defined by the square of the wave function (ψ2), defined by the wave function (ψ), a region around the nucleus of an atom where the probability of finding an electron is high. Correct options are B, D, F.
An atomic orbital is a region around the nucleus of an atom where the probability of finding an electron is high. It is defined by the wave function (ψ) and the square of the wave function (ψ2). An orbital is identified by a unique combination of three quantum numbers, and in the case of many-electron atoms, four quantum numbers.
An orbital is not a shell in an atom containing the valence electrons, which is a different concept. Therefore, the characteristics that apply to an atomic orbital are: B, D, and F.
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Does everyone see the same side of the Moon?
No, everyone does not see the same side of the Moon. The Moon is tidally locked with the Earth, which means that it rotates on its axis at the same rate that it orbits around the Earth.
The Moon is Earth's only natural satellite, a celestial body that orbits our planet. It is the fifth-largest moon in the solar system, with a diameter of 3,474 km, about a quarter the size of Earth. The Moon's surface is covered in craters, mountains, and flat plains called maria. The Moon's gravity is about one-sixth of Earth's gravity, which allows astronauts to jump much higher and walk much more easily on its surface.
The Moon is thought to have formed around 4.5 billion years ago, shortly after the formation of the solar system. It is believed to have been created when a Mars-sized body collided with the early Earth, and the debris from the collision eventually coalesced to form the Moon. The Moon's phases are caused by its orbit around Earth, which takes about 27.3 days to complete.
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A pendulum is created by a 0.5-kg mass swinging at the end of a 1-meter string. At its lowest point, it is moving at 5m / s and it is 18 centimeters above the ground. How high will the mass be at the highest point of the swing if the pendulum loses 3 J to air resistance and friction during it's half swing?
Length of the pendulum, l=1.5m
Mass of the bob =m
Energy dissipated =5%
According to the law of conservation of energy, the total energy of the system remains constant.
At the horizontal position A:
Potential energy of the bob, EP =mgl
Kinetic energy of the bob, EK =0
Total energy =mgl ------ (i)
At the lowermost point (mean position) B:
Potential energy of the bob, EP =0
Kinetic energy of the bob, EK = ½ mv²
Total energy Ex = ½ mv² ....(ii)
As the bob moves from the horizontal position to the lowermost point, 5% of its energy gets dissipated.
The total energy at the lowermost point is equal to 95% of the total energy at the horizontal point, i.e.,
½ mv² = 95/100 mgl
v=( 2×95×1.5×9.8/100 )^(½)
v=5.28m/s
What is a pendulum?
Gravity's restoring force will cause a pendulum to accelerate back towards its equilibrium position if it is sideways moved from its resting, equilibrium position.To know more about pendulum, click the link given below:
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the primary mirror of telescope a has a diameter of 20 cm, and telescope b has a diameter of 100 cm. how do the light gathering powers of these two telescopes compare?
The light gathering power of telescope b is 25 times that of telescope a
The light gathering power of a telescope is determined by its collecting area, which is proportional to the square of the diameter of the primary mirror.
Assuming both telescopes have the same quality of optics and are used under similar conditions, the ratio of their light gathering powers is,
(telescope b collecting area) / (telescope a collecting area)
= (telescope b diameter)^2 / (telescope a diameter)^2
= (100 cm)^2 / (20 cm)^2
= 25^2 / 5^2
= 25
Therefore, the light gathering power of telescope b is 25 times that of telescope a.
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