The first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.
Calculate the wavelength of light.
The wavelength can be calculated using the formula, λ = d/n, where d is the distance between the slits (d = 0.050 mm) and n is the order of the diffraction fringe (n = 1).
Therefore, λ = 0.050 mm/1 = 0.050 mm.
Calculate the distance of the first bright diffraction fringe.
The distance of the first bright diffraction fringe can be calculated using the formula, d = λD/d, where λ is the wavelength of light, D is the distance between the screen and the slits (D = 13.0 m) and d is the distance between the slits (d = 0.050 mm).
Therefore, d = (0.050 mm)(13.0 m)/0.050 mm = 13.0 m.
Therefore, the first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.
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An object has a kinetic energy of 500 J and a mass of 30 kg. How fast is the object moving?
kinetic energy is (m·s²)/2
m = mass
s = speed
so,
500 = (30 x s^2 )/2
1000 = 30 x s^2
100/3 = s^2
s = [tex]\frac{10\sqrt{3} }{3}[/tex]
joe and bill are playing tug-of-war. joe is pulling with a force of 200 n. bill is simply hanging on to the rope. neither person is moving. what is the tension of the rope?
The solution indicates that the rope's tension is 200 N this is because of the static equilibrium.
What exactly is static equilibrium?Dynamic equilibrium is a state in which bodies are moving at a constant speed, as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces acting on them is 0 in both situations.
What is the static equilibrium equation?the total of all external forces that affect the body, where m is its mass and is the linear acceleration of its centre of mass The constant acceleration is zero when everything is in balance.
According to the given information:F is the force with which Joe pulls (200 N)
F′ is the force with which Bill holds on to the rope
T is the tension of the rope to the right
T′ is the tension of the rope to the left
The system created by Joe, the rope, as well as Bill is said to be in static equilibrium if it does not move, in which case both velocity of the object are zero.
Let's say we cut the rope in an idealized manner to demonstrate the tensions and internal forces.
Applying the idea of the horizontal forces' sum being equal to zero, which is the first requirement of static equilibrium with respect to the X-axis.
∑Fx = 0
T - F = 0
T = F
= 200 N
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a book is being pushed to the right across a desk at a constant speed. name the force depicted by the leftward arrow.
The force depicted by the leftward arrow will be the force of friction.
What is friction?Friction is a force that opposes relative motion between surfaces in contact.
Types of frictionIf two surfaces are in contact and moving relative to one another, then the friction between them is called kinetic friction. When objects are stationary, static friction can act between them; the static friction is usually greater than the kinetic friction between the surfaces.
When a book is pushed to the right across a desk at constant speed, the force of friction will act in the opposite direction to try and stop the opposition of the motion of the book.
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the total mass of the hydrogen gas in the hindenburg zeppelin was 18,000 kg. what volume did the hydrogen occupy
Volume occupied by hydrogen gas is ≅ 2.0 × 10⁵ m³.
What is an ideal gas law?
An equation of state that characterizes perfect gases is called the ideal gas law. When explaining how gases will behave under ideal circumstances, this equation of state, which links a gas's pressure, volume, temperature, and mass, is highly helpful. For gases, this is the most typical equation of state.
Given,
Mass of hydrogen, m = 18000 kg
Pressure, P = 1 atm
Temperature, T = 0°c.
Using Ideal gas law, PV = mRT
Where, R = gas constant (R= 4124.4 J/kg-K)
Putting values in the equation
PV = mRT
V = [tex]\frac{mRT}{P}[/tex]
= [tex]\frac{18000kg X 4124.4 J/Kg - K X(0+273) K}{1 atm X 101325 Pa/atm}[/tex]
= [tex]\frac{18000 kg X 4124.4 \frac{N.m}{kg.K}X (0+273) K }{101325 \frac{N}{m^{2} } }[/tex]
= 200022.715 m²
≅ 2.0 × 10⁵ m³.
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A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 1.1 106 kilometers before turning 70° and traveling 2.1 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had instead traveled directly through the nebula?
If the captain had not ordered a course correction, the magnitude of the path of the spaceship would have been 3.2 106 kilometers, and the direction would have been 14.8° counterclockwise from the +x-axis.
What is the direction?Generally, To find the magnitude and direction of the path of the spaceship if it had traveled directly through the nebula, you can use vector addition.
The magnitude of the path of the spaceship is the distance it traveled, which is 1.1 106 kilometers + 2.1 106 kilometers = 3.2 106 kilometers.
The direction of the path of the spaceship can be found using the law of cosines:
cos(direction) = (1.1 106 kilometers)2 + (2.1 106 kilometers)2 - (70°)2 / (2 * 1.1 106 kilometers * 2.1 106 kilometers)
Solving for direction gives:
direction = cos-1(0.986) = 14.8° counterclockwise from the +x-axis
So, If the captain had not given the order to alter course, the spacecraft's route would have been 3.2 106 kilometers in length and would have been 14.8 degrees counterclockwise from the +x-axis.
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If a wheel tart from ret what i the angular velocity after 4. 20 ha elaped, auming the force i acting during that time?
For finding angular velocity, we need angular displacement Ф or angular acceleration α. In this question, the information provided is only time elapsed. So, with a given input, angular velocity can't be calculated.
Angular velocity is a measure of rotational rate. This gives how fast an object is moving about an axis. It is represented by the symbol ω (omega). It is a measure of angular displacement per unit of time.
Angular velocity = Angular displacement/time
ω = Ф /t
Angular displacement is the angle made during rotation per unit of time. Angle is measured in radians.
There is a relation between angular velocity and linear velocity.
v = r. ω
means. linear velocity = radius × angular velocity
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what is the maximum kinetic energy of the photoelectrons when light of wavelength 300 nm falls on the same surface?
The Maximum Kinetic energy of the photoelectrons is 3.84 x 10⁻¹⁹J.
In response to light, the photoelectric effect produces photo electrons. By absorbing electromagnetic radiation, the photoelectric effect causes free electrons to be released from the surface of metals photons. Photo electrons are the emitted electrons in question. With the aid of Einstein's photoelectric equation, the query can be answered.When the incident frequency exceeds or is equal to the threshold frequency, photo electrons are only released. The kinetic energy of the light will be negative, which is not possible, if the threshold frequency is higher than the incident frequency. Work function value is always positive.[tex]E=hv[/tex]energy for one electron is 3.84 x 10⁻¹⁹J[tex]x=\frac{hC}{E}[/tex]After substituting all values i.e h= 6.6 x 10⁻³⁴, C=3 x 10⁸, E=3.84 x 10⁻¹⁹J , we get x=518nm.So , E=3.84 x 10⁻¹⁹JTo learn about Work function -
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Through the process of photosynthesis, plants transform carbon dioxide found in the atmosphere together with water and sunlight into: Organic matter Inorganic matter Organic and inorganic matter
Plants transform, through the process of photosynthesis, carbon dioxide, with water and sunlight, into organic and inorganic matter.
¿What is photosynthesis?Photosynthesis has been a chemical reaction carried out by plants and through which they obtain their own food.
This chemical reaction translates as:
Carbon Dioxide + Water + Light ⇒ Glucose + Oxygen
In this sense, let us note that with photosynthesis, organic matter, which is glucose, and inorganic matter, which is oxygen, are obtained in the products.
if 20% of the mass of a 50 kg student's body is fat (a typical value), what is the total volume of fat in his body?
The total volume of fat in the body is 22.5L.
Since there are numerous body composition outcomes that could change the body fat percentage in such a way, it is impossible to know for sure.
You could reduce your body fat and lean mass from 18 to 15 percent. However, you could also put on some lean mass during the process and lose less fat as a result to maintain the same percentage.
Alternately, you could put on more lean mass while also gaining fat, which would ultimately bring your body fat percentage down to 15%. Alternatively, one of the fat/lean masses could be maintained constant, and only the other would alter accordingly.
A different weight, but the same percentage, would be assigned to each of those outcomes.
20% of 50 kg= 20 x 50/100=10kg
Density =100
D=M /V
V=M/D
=10/100
=0.1l
Total volume = standard volume + calculated volume
=22.4 +0.1
=22.5L
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A hollow plastic ball is projected into the air.
There is significant air resistance opposing the
ball's motion, so the magnitude of the ball's
acceleration is not equal to g. At time t, the ball is
moving up and to the right at an angle of 45° to
the horizontal, as shown above. Which of the
following best shows the magnitude a and the
direction of the ball's acceleration at time/?
Answer:
add the components
Explanation:
Add moving 45%
The ball is moving down with an acceleration a which is less than the acceleration due to gravity g due to the air resistance. Hence, its path is not straight as well. Thus, option A is correct.
What is acceleration ?Acceleration is a physical quantity measuring the rate of change in velocity. Acceleration, like velocity is a vector quantity. It have both magnitude and direction.
For a free falling body, the acceleration of the object by the gravitational force is called the acceleration due to gravity g. Acceleration due to gravity of earth is 9.8 m/s².
Here, the ball is moving down through air, with which air resistance significantly affect the speed. Hence, free falling body will deviates from its direction and acceleration will be smaller than g. Therefore, the correct diagram showing the falling of the ball is option A.
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in a circuit with two identical components connect in parallel, the current which flows through it's different branches are different or the same
Answer:
same,
my advise is you add more points it will make everyone anwser quicker.
a model drag car (of mass 5 kg) is being accelerated along its track from rest by a motor with a force of 90 n, but there is a drag force of 30 n due to the track. what is the kinetic energy after 3 m of travel?
When a model drag car is accelerated along its track from rest by a motor with a force, then the kinetic energy after 3 m is calculated to be equal to : 90 J.
What do you understand by kinetic energy?Kinetic energy is defined as the work done that is required to move a body from the rest position to a specific velocity.
Given , truck is accelerated from the rest with force = F₁ = 90 N
Drag force, F₂ = 30 N
Distance, D = 3 m
As, Work done = Force x Distance
W = F x D
So, W = ( F₁ - F₂) x D
= ( 90 - 30) x 2
W = 120 J
Therefore, the kinetic energy is 120 J.
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In a collision, if two objects are moving in opposite directions, what does that mean for their momentum
values?
there is an increase in the momentum
A box of mass 50kg is pulled up from the hold of a ship with an acceleration of 1 meter per second square by a vertical rope attached to it. Find the tension in the rope.
The tension in the rope that has a box of 50 kg tied to it is 540 N.
What is tension?
Tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object.
To calculate the tension in the rope, we use the formula below.
Formula:
T = m(a+g)..................... Equation 1Where:
T = Tension of the ropem = Mass of the boxa = Accelerationg = Acceleration due to gravityFrom the question,
Given:
m = 50 kga = 1 m/s²g = 9.8 m/s²Substitute these values into equation 1
T = 50(9.8+1)T = 50(10.8)Hence the tension is 540 N.
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Why is the milky way galaxy not expanding together with the rest of the universe?.
Answer:
The reason why the Milky Way is not expanding together with the rest of the universe is because local gravity dominates over the expansion of the universe. (The expansion of the universe is a relatively weak force acting throughout the universe).
Explanation:
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A small weight is suspended from a string of negligible weight and given an initial horizontal velocity of 2.00 m/s, with the string initially vertical. Find the maximum angle O that the string makes with the vertical if the string is 1.00 m long.
The maximum angle O that the string makes with the vertical is 30 ⁰.
What is the maximum angle of the string?The maximum angle O that the string makes with the vertical is calculated by applying the following kinematic equation.
Mathematically, the trigonometry equation is given as;
sin θ = r / L
where;
r is the radius of the circular stringL is the length of the stringThe given parameters include the following;
the radius of the circular string (assumed) , r = 0.5 m
the length of the string, L = 1 m
Substitute the given parameters and solve for the maximum angle of the string as shown below.
sin θ = r / L
sin θ = (0.5 m) / (1 m)
sin θ = 0.5
θ = arc sin (0.5)
θ = 30 ⁰
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you ran out of gas and are trying to push your car to a gas station, once you get the car moving, what force opposes your push?
The moves your car forward is the effect of static friction. The power needed to move the tires, which would in turn pushes the vehicle backward against the road, comes from the engine.
What is force example?Force is the term used to describe a body's tendency to alter or alter its state as a result of an external cause. When force is applied, the body could also alter its size, shape, and direction. hitting a football, pushing and pulling on the door, or kneading dough are a few examples.
What causes force?A push in pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on all of the materials. The force is no longer felt by the two surfaces when the interaction ends.
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a 710 kg car drives at a constant speed of 23 m/s . it is subject to a drag force of 500 n.
A. To drive the car on level ground, the engine needs to produce 11,500W of power.
b. The car's engine must provide 17,084W in power in order to move the vehicle up a hill with a 2.0 grade.
What is speed and how is it used?Speed is indeed an illustration of an amphetamine. Substantial amounts of dopamine are produced by this central nervous system stimulation. A chemical in the brain associated with reward and pleasure is called dopamine. There are numerous types of amphetamines.
Briefing:(a).The two forces at action are the drag force, D, which pushes the car backward, as well as the driving force, F, which pushes it vehicle forward. Since there can be no net force,
F-D=0
We know that D=500 N, so
F=D
F=500N
The force produced by the engine (F) and the vehicle's speed (v=23 m/s) are multiplied to produce the power used by the engine, so:
P=Fv
=(500N) (23m/s)
=11,500W
(b).the component of the weight of the car parallel to the slope, which acts against the motion of the car. Its magnitude is given by:
Wₓ=(mg)sin
=(710kg)(9.8m/s²)(sin2.0°)
=242.8N
F-D-Wx=0
F=D+Wx
=500N+242.8N
=248.8N
Consequently, this time the engine's power output
P=Fv
=(742.8N)(23m/s)
=17,084W
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The complete question is-
A 710 kg car drives at a constant speed of 23 m/s . it is subject to a drag force of 500 n. what power is required from the car's engine to drive the car (a) on level ground? (b) up a hill with a slope of 2.0 ∘ ?
when current flows in a conductor, a magnetic field is produced. as free electrons move in one direction, their individual magnetic fields ? .
A magnetic field is created in a conductor when current is flowing through it. Free electrons' magnetic fields add up as they flow inside a single direction.
What do you mean of current?Molecules or atoms lacking in electrons, which are frequently used as carriers of electric charges, move as current. Currently is frequently represented with the capital letter I. The standard component is the ampere, which is represented by the letter A.
What is type of current?Current flow (DC) and alternating current (AC) are the two types of current used in electricity (AC). Electrons pass only in the direction of direct current. Direct current is produced by batteries. Electrons move both in directions during alternating current. Electric current produced by power plants is AC.
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Newton's first law of motion is known as
a) mass and acceleration
c) electrical force
b) inertia c) action and reaction
d) tension force
d) momentum
Planets
Project: Scale Model of the Solar System
A solar system is a group of planets and other space material orbiting (going around) a star. In our solar system, that star is known as the Sun and the planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
We want our model to reflect the relative distances and sizes of the planets.
Materials:
Metric rulerWhite poster boardPencilDrafting compass (the kind you draw circles with)ScissorsPermanent MarkerProcedure: Scale Model of Distances from Sun
Trace 9 circles using the bowl as a guide. Because the distance scale model only is concerned with distances between the planets, you can make all the planets the same size.Label the circle's Sun, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.Cut the circles out.Position yourself as the Sun.Give each of your friends a cut-out planet to hold.Have your friends position themselves the following distances from you. (Note that some of the measurements are in centimeters rather than meters. A centimeter is 1/100 of a meter, just like a cent is 1/100 of a dollar).Procedure: Scale Model of Relative Diameters of Planets
First, we need to compare the diameter of the Earth to that of the other planets. Remember that diameter is the length of a straight line going through the middle of a circle. The Earth’s diameter is 12,750 km. We can divide the diameter of the Earth into the diameters of all the planets, to get a relative comparison. The Sun, with a diameter of 1,393,000 km, is over a million times bigger than Earth and would be too big to draw on a piece of paper for this activity.Use the ruler to draw a line for the diameter. Start with drawing the relative diameters of Jupiter, Saturn, Uranus, and Neptune.Using the compass, draw circles around the diameters. Fit in the smaller planets (Earth, Mercury, Venus, and Mars) around where you drew the bigger planets.Label the planets, so you don’t forget which is which when you are cutting them out. For tiny planets, you might have to use an abbreviation.Cut your planets out.Results
When you build the scale model of solar system distances, you will undoubtedly notice that some of your friends will be much closer together than others. Some of your friends will have to stand quite close to each other, while others will be far enough away to have a hard time hearing you! When you compare the sizes of the planets, Jupiter and Saturn will seem gigantic compared to the others.
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find the potential energy of a 2 kg ball 15 m in the air
Answer:
294 Joules
Explanation:
Use the Potential Energy Formula and plug in the numbers to be 2kg(mass)*15 meters (height above ground)* 9.8(gravitational acceleration of the earth) = 294 Joules
light from a helium-neon laser is shined on a slid of width .02 nm. describe qualitatively the pattern of light seen on a screen 1 meter away
A series of smaller spots are spaced out on either side of the pattern's central, larger spot.
What is a helium-neon laser used for?When compared to other gas lasers, helium xenon lasers are inexpensive and straightforward to operate. They have a long history of employment in numerous industries, including holography, biomedical engineering, metrology, spectrometry, optical disc reading, barcode scanning, and microscopy.
How does the helium-neon laser operate?By energizing Neon molecules in the atmosphere, a He-Ne laser produces light. The Neon particles decay from a higher energy state to that of an ordinary state, producing the 632.8 nm optic light that the laser emits. For the given basic research, a comprehensive determination of quantum (state) is not necessary.
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2. A force of 20N stretches a spring by 0.5m. The spring obeys Hooke’s law.
a. Calculate the spring constant including a suitable unit. 1
b. How much force must a man use to stretch it by 1.5m?
a. The spring constant of the spring be 40 N/m.
b. To stretch it by 1.5 m, required force be 60 N.
What is Hooke's law?In accordance with Hooke's law, a principle of elasticity, for relatively minor deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load When the load is removed under these circumstances, the object resumes its original size and shape.
According to Hooke's rule, solids behave elastically when their constituent molecules, atoms, or ions move slightly from their normal places. This movement is proportional to the force that caused it.
a. The spring constant of the spring be: k = 20 N/0.5m = 40 N/m.
b. To stretch it by 1.5 m, required force = 40×1.5 N = 60 N.
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the 21-cm line of neutral hydrogen (in the radio part of the electromagnetic spectrum) is useful for mapping the structure of our galaxy. why?
Interstellar hydrogen atoms emit cold, neutral electromagnetic radiation with a wavelength of 21 centimeters.
What are 5 examples of electromagnetic?Radio transmissions, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays are only a few examples of electromagnetic radiation. The lowest energy, frequency, and wavelength are found in radio waves. The strongest, most prevalent, and short-wavelength photons are gamma rays.
What is a simple electromagnetic?Powerful electromagnet A straightforward electromagnet was created by students as part of a project using common components. By wrapping a wire around an iron nail and passing current through it, electromagnets can be created. The magnetic field is produced around the nails by the electric field in the wire coil.
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beth and sam are 500 miles apart. if beth travels at 60mph and leaves her house at 1pm, what time will she arrive at sam's house?
Sam and Beth are separated by 500 miles. If Beth leaves her home at 1pm and travels at 60mph, If you add T=8 hours 20 minutes to 1 pm, then get 9:20 pm.
What is the travel formula?The approach taken by such a body to go across a specified distance in a predetermined amount of time at a specific speed is known as the distance traveled. Distance is equal to time times velocity if the speed is constant. d = v*t.
How far did you travel altogether?The act of traveling: passage, voyage, or a journey, particularly to a far-off or unfamiliar location. frequently used in plural. An narrative of one's travels, in the plural. An object is thought to have comfort . when it returns to its origin.
Briefing:Distance = 500 miles
Rate = 60 mph
Distance = rate * time
Time = Distance/rate
Time = 500 miles / 60 mph
Time = 8 hours 20 minutes
Total time = 9:20 pm
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how much force is required to accelerate a 15 passenger van weighing 1955kg at a rate of 26.82 m/s^2
Answer:
51,834.1 Newtons.
Explanation:
To find the force required to accelerate an object, you can use the formula force = mass x acceleration. In this case, the force required to accelerate a 15 passenger van weighing 1955 kg at a rate of 26.82 m/s^2 would be 51,834.1 Newtons.
what’s the moment if there’s a force of 50n and 0.75cm
The moment of the force of 50 N is 0.375 Nm.
What is moment of a force?Moment of a force is the product of force and the perpendicular distance.
To caluclate the moment of the force, we use the formula below.
Formula:
M = Fd.............. Equation 1Where:
M = Moment of the forceF = Force d = DistanceFrom the question,
Given:
F = 50 Nd = 0.75 cm = 0.0075 mSubstitute these values into equation 1
M = 50×0.0075M = 0.375 NmHence, the moment of the force is 0.375 Nm.
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when two sources of waves with the same frequency are active, what must the path length difference be at some point in space for the waves to interfere destructively?
The path difference for destructive interference is 2n/x.
When waves from two different sources collide, two-point source interference occurs. If the wave source generates circular waves, the wavefronts will collide within the medium and create a pattern. The nodal and antinodal lines, also known as antinodal lines and nodal lines, are what give the pattern its distinctive appearance. The exact center of the pattern will have an antinodal line, with nodal and antinodes alternating to the left and right of it, if the wave sources have identical frequencies.[tex]I=iA+iB+iC+iD+.............[/tex]where I is the net interference.To study about antinodes -
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a 60 kg runner in a sprint moves at 11 m/s. a 60 kg cheetah in a sprint moves at 33 m/s.
Equation states that the cheetah has nine times the kinetic energy of a human run.
What are the nine forms of energy?There are many distinct types of energy, including gravitational, thermal, radiant, chemical, nuclear, electrical, motion, sound, & elastic energy.
Briefing:Considering that,
the runner's weight, m₁ = 60 kg
runner's speed, v₁ = 11 m/s
Mass of cheetah, m₂ = 60 kg
Speed of cheetah, v₂ = 33 m/s
energy expended by the runner
Er=1/2m₁v₁²
=1/2*60*11²
=3630
Cheetah kinetic energy,
Ec=1/2m²v²2
=1/2*60*33²
=32670
It is evident from equations (1) and (2) that
Ec=9*Er
The cheetah therefore has nine times the kinetic energy of a human runner. Consequently, this is the necessary remedy.
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The complete question is-
A 60 kg runner in a sprint moves at 11 m/s. A 60 kg cheetah in a sprint moves at 33 m/s. By what factor does the kinetic energy of the cheetah exceed that of the human runner?