The vertical height of the marble when it comes to a stop before rolling back is 20 centimeters.
As per the Law of conservation of energy,
If there is no external force acting on the system, the energy will always remains the same at every point of the motion.
As, we can see, there is no external force on the marble,
Energy of the marble at start will be equal to energy of the marble at the vertical height
We can write,
Energy while rolling = Energy at the highest point
1/2MV² = MgH
Where,
M is the mass of the marble,
V is the velocity of the marble,
g is the acceleration due to gravity and,
H is vertical height of the marble.
So,
1/2MV² = MgH
1/2V² = gh
Putting all the values,
1/2(2)² = 10H
H = 4/20
H = 0.2 meters.
So, the vertical height of the marble is 20 cm.
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A student learns that a certain comet in the solar system is considered a short-period comet. Based on this knowledge, what is the student most justified in concluding?.
A student learns that a certain comet in the solar system is considered a short-period comet. Based on this knowledge, the student most justified in concluding The comet originates between the Sun and the asteroid belt.
The Solar System's asteroid belt is a torus-shaped area roughly midway between the orbits of Jupiter and Mars. Asteroids or minor planets are the names for the vast majority of solid, irregularly shaped entities that are far smaller than planets. The term "primary asteroid belt" also applies to this asteroid belt.
A comet is a tiny, frozen object in the Solar System that begins to outgas when it approaches the Sun. Outgassing is the process through which gases are released from the comet.
The orbital durations of comets differ widely, from a few years to possibly millions of years, and they often have very eccentric elliptical orbits. The Kuiper belt or its related scattered disc is the source of short-period comets.
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a four-wheeled tractor whose operating weight is 47,877 lb is pulled up a road whose slipe is 3.5% at a unifrom speed. if the average tension in the towing cable is 4,860 lb, what is the rolling resistance of the road?
The rolling resistance of the road is 203.02lb per ton
R=P/W where W=47877lb/(2000lb/ton)=23.985 ton
R=4860lb/23.985ton
R=203.02lb per ton.
Rolling resistance, occasionally known as rolling friction or rolling drag, is the pressure resisting the movement when a frame rolls on a surface. Its miles are mainly caused by non-elastic consequences; that is, no longer all of the energy needed for deformation of the wheel, roadbed, and so on., is recovered when the stress is removed.
Tire rolling resistance is the power that your vehicle needs to send to your tires to hold movement at a steady velocity over a surface. In other words, it is the effort required to maintain a tire rolling. the principal contributor to rolling resistance is the process known as hysteresis.
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you walk for 6.44 km with at a constant velocity of 2.60 m/s due west, turn around, and then walk with an average velocity of 0.465 m/s due east. from your starting point to your destination, your overall average velocity is 1.37 m/s due west. during the trip, how far east did you walk?
The distance travelled due east during the trip is 875.831 meters.
The distance due west is 6.44 km (6440m) and the velocity due west is 2.6m/s. The velocity due east is 0.465m/s.
We know,
Average velocity = Total displacement/Total time
It is given that, the total average velocity is 0.465m/s.
If distance in west is W and the distance in east is E, then the displacement D is,
D = √((6440)²+(E)²)
The time T₁ in west,
T₁ = 6440/2.6 seconds
Time time T₂ in east,
T₂ = E/0.465
The total time T is,
T = T₁ + T₂
T = 6440/2.6 + E/0.465
So, putting all the values now,
Average velocity = D/T
1.37 = √((6440)²+(E)²)/(6440/2.6 + E/0.465)
On solving it further,
We get,
E = 875.831 meters.
So, the distance in east is 875.831 meters.
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A glass of ice at 0°C, has partially melted to form a mixture of ice and ice water. How has the thermal energy changed between these two stages?
In between the two processes, we can see that the thermal energy of the mixture increases.
What is thermal energy?Recall that energy is the ability to do work. Now when we add the partially melted to form a mixture of ice and ice water, we are going to increase the thermal energy of the water. This is because the water in the liquid state has a greater energy than water in the solid state.
Having see that liquid water contains more energetic particles than the the solid water, the thermal energy has increased in between the two processes.
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a long ladder 20 feet long is leaning against a wall with one end on the floor. the bottom end of the the ladder is being pulled along the floor away from the wall at a constant rate of 1 2 feet/sec. assume that the top of the ladder is always in contact with the wall. what are the velocity and acceleration of the top of the ladder when the bottom of the ladder is 12 feet from the wall?
When a ladder with 20 ft. long is pulled along the floor away with a constant rate 1.2 ft/s, then the top of the ladder is moving toward the floor with velocity - 0.9 ft/s and there is no acceleration.
Let:
x = the distance between the bottom of the ladder from the wall
y = the distance between the top of the ladder from the floor
When x = 12 ft, then using the Pythagorean Theorem:
x² + y² = 20² (Equation 1)
12² + y² = 20²
y² = 20² - 12² = 16²
y = 16 ft.
Take the derivative of equation 1 with respect to t
2x . dx/dt + 2y. dy/dt = 0
Substitute x = 12, y = 16, dx/dt = 1.2 ft/s
2 . 12 . (1.2) + 2 . 16 . dy/dt = 0
dy/dt = - 0.9 ft/s
Hence, the velocity is - 0.9 ft/s
Since the floor is moving with a constant rate, the acceleration is zero.
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which is the best definition of pitch
Answer:
a black or dark viscous substance obtained as a residue in the distillation of organic materials and especially tars
Explanation:
14. suppose there is a 10 mbps microwave link between a geostationary satellite and its base station on earth. every minute the satellite takes a digital photo and sends it to the base station. assume a propagation speed of 2.4 x 108 m/s and the distance between satellite and station is 3.6 x 107 m. what is the propagation delay of the link?
The propagation delay of the link due to time dilatationis 1.152 x 10¹⁶ s.
We need to know about the time dilatation to solve this problem. Time dilatation represents that time is relative between the moving and static objects. From a static objects point of view, the time should be
t' = t / √(1 - v²/c²)
where t' is the interval time based on the static object, t is the interval time based on the moving object, v is velocity and c is the speed of light (3 x 10⁸ m/s),
From the question above, the given parameters are
v = 2.4 x 10⁸ m/s
D = 3.6 x 10⁷ m
Find the time taken based on moving objects
t = 2D . v
t = 2 . 3.6 x 10⁷ . 2.4 x 10⁸
t = 1.728 x 10¹⁶ s
Find the time interval based on static objects
t' = t / √(1 - v²/c²)
t' = 1.728 x 10¹⁶ / √(1 - (2.4 x 10⁸)²/(3 x 10⁸)²)
t' = 2.88 x 10¹⁶ s
Hence, the delay time is
Δt = t' - t
Δt = 2.88 x 10¹⁶ - 1.728 x 10¹⁶
Δt = 1.152 x 10¹⁶ s
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the temperature of the earth is determined by the amount of solar radiation received, the amount of solar energy reflected, and the amount of heat retained by the what?
The temperature of the Earth is determined by the amount of solar radiation received, the amount of solar energy reflected, and the amount of heat retained by the atmosphere.
What is temperature?
The physical concept of temperature expresses in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined various reference points as well as thermometric substances. The most popular scales are the Celsius scale, also known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), as well as the Kelvin scale (K), with the latter being primarily used for scientific purposes. One of the International System of Units' seven base units is the Kelvin (SI).
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which of the following statements is correct: a. venturi meter is a common device for quantifying flow rate q based on differences in pressure. b. hot-wire anemometers measure fluid velocity based on effectiveness of heat transfer away from a heated wire. c. rotameters use drag on a floating object in equilibrium with its weight and buoyancy to indicate volume flow rate by position of the float. d. all of the above statements are correct.
Option D is correct. In venturi meter a converging section of a pipe is used to increase the flow velocity and corresponding pressure drop, from which the fluid flow rate is calculated using Bernoulli's equation.
A venturimeter is a flow measurement device. The meter is connected between two sections of the pipe; the cross-sectional area A of the meter's entrance and exit corresponds to the cross-sectional area of the pipe. The fluid flows from the pipe with speed V between the entrance and exit, and then through a narrow throat with cross-sectional area a with speed v. A venturi works by measuring the difference in pressure between two points. The pressure difference is created by narrowing the pipe, causing the fluid to flow faster. In the larger section of the venturi, the fast moving fluid has a lower pressure than the slower fluid.
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Pushing or pulling an object that is not already moving can make that object start to move?
TRUE
OR
FALSE ?
According to the research, the correct option is true. The statement "Pushing or pulling an object that is not already moving can make that object start to move" is true.
What is motion?It is about the change of position starting from a reference system from which it is observed that an object experiences.
In this sense, it is related to the displacement of a body and is produced by an imbalance between the forces that act on it, that is, the application of a force modifies the state of rest or the direction of movement.
Therefore, we can conclude that motion is the state of bodies when they change position caused by an effect acting on the bodies called force.
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2. A freight train traveling with a velocity of −4.0 m/s begins backing into a train yard. If the train’s average acceleration is −0.25 m/s2, what is the train’s velocity after 14s?
According to the given statement is the train’s velocity after 14s is -7.5 m/s.
What is defined as velocity?The path of a body or entity's movement is determined by its velocity. In its basic form, velocity is a scalar quantity. In definition, velocity is a vector quantity. It is the speed where at ’s dimensional. It is the migration change rate.
Briefing:Initial velocity of the train, u = -4.0 m/s
Acceleration of the train, a = -0.25 m/s²
Time of motion of the train, t = 14 s
The following formula is used to determine the train's final speed:
v = u + at
v is the final velocity of the train
v = -4.0 + (-0.25 x 14)
v = -4.0 - 3.5
v = -7.5 m/s
Therefore, the train velocity of the train is -7.5 m/s.
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A substance added to gasoline is found in the wells of people who live miles from a gas station. Is this an example of a point source of pollution or a nonpoint source of pollution? Explain.
I need to get it done right now
The substance added to gasoline and found in the wells of people who live miles from a gas station is an example of non-point source of pollution.
What are point source pollution?Point source pollution are sources of pollution, radiation, waves, fluid or other substance that has one specific location.
On the other hand, non-point source pollution is a combination of pollutants from a large area rather than from specific identifiable sources such as discharge pipes.
According to this question, a substance added to gasoline is found in the wells of people who live miles from a gas station. This suggests that the pollutants enter from a wide array of sources.
Therefore, it can be said that the source of pollution is a non-point source.
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a cherry pie in a 8.50 in diameter plate is placed upon a rotating tray. then, the tray is rotated such that the rim of the pie plate moves through a distance of 308 in. express the angular distance that the pie plate has moved through in revolutions, radians, and degrees.
The angular distance should be
In revolution, θ = 11.53 revolution.
In radian = θ = 72.40 rad.
In degree θ = 4150.8°.
Calculation of the angular distance:
Since
Pie diameter = 8.50 in
So, the circumference of the pie should be
P = πd = 8.50π in
And, rim of the pie rotates 308 in,
So,
1 Revolution of the pie is 8.50π in,
So, for 308 it should be
= 308 in / 8.50π in revolution
=11.53 revolution
Now in the case when when we have to find distance in radians:
1 revolution is 2πrad
So,
11.53 revolution = 11.53 × 2π = 72.40 rad.
And also, 1 revolution is 360°
So,
11.53 revolution = 11.53 × 360 = 4150.8°
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a person throws a ball at an angle of 30 o with the horizontal with a velocity of 32 m/s. as the ball is thrown, a second person is running past the thrower at a constant velocity. at what velocity must this second person run so that she may catch the ball as it hits the ground?
If the second player moved horizontally, the speed he must maintain to catch the ball is 27.67 m/s.
What is the range of the projectile (ball)?
The range of the projectile is the maximum horizontal distance travelled by the ball.
R = (u²sin(2θ)) / (g)
where;
u is the initial velocityθ is the angle of projectiong is acceleration due to gravityR = (32² x sin(2 x 30) ) / (9.8)
R = 90.49 m
The time of motion of the ball is calculated as follows;
R = uₓt
where;
uₓ is the horizontal component of the velocityR = ucosθ(t)
t = R/ucosθ
t = (90.49) / (32 cos30)
t = 3.27 seconds
If the second player moved horizontally, the speed he must maintain to catch the ball is calculated as;
R = Ut
U = R/t
U = (90.49) / (3.27)
U = 27.67 m/s
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How are an electromagnetic wave’s wavelength and frequency related to the wave’s period of oscillation?.
Write 2 uses of centripetal force.
Help please and thank you
Based on the data in the chart, it can be concluded that as mass increases, so does thermal energy, because the thermal energy of a substance is highly dependent on its temperature and mass.
What is Thermal energy?Thermal energy always moves from a higher temperature area to a lower temperature area. When a block of ice comes into contact with a colder substance, such as liquid nitrogen or dry ice, thermal energy moves from the ice to the colder substance.
Because mass measures the amount of material in a sample, thermal energy is determined by the mass and temperature of the object. The more significant the mass of the object, the more particles there are in the model, and the more significant the thermal energy.
Thermal energy is the energy contained in the motion and vibration of its molecules.
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a wire with diameter 2.0 mm and length of 10 m is made of an unknown material. the wire has a resistance of 4.2 ohm. calculate the resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material
The resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material is 3.14×10⁻⁷Ω−m.
What does "resistance" mean?Electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.
Given,
l= 10m= 1000mm
d= 2mm
∴radius(r)= 20.2 =0.1mm
R=10Ω
To find,
Resistivity(ρ)
ρ=R /l A
where,
R= Resistance
l= Length of wire
A= Cross sectional area of wire
Cross sectional area of cylinder (A)=Πr²
A= π×(0.1)²
A=0.0314mm²
ρ=10(10000.0341)
ρ=0.000314Ω−mm
ρ≃3.14×10⁻⁷Ω−m
So, the resistivity of the material is equal to 3.14×10⁻⁷Ω−m.
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To prevent water pollution, a factory proposes pumping its wastes into the ground instead of into a river. Would you support this proposal? Why or why not?
The speed of sound in a particular gas is 675 m/s. A sound wave propagating in this material has a wavelength offifteen meters. What is the frequency of this sound?knowns and unknownsolveright answer
Given, Speed of the sound, v=675 m/s
The wavelength of the wave, λ=15 m
Relation between speed, wavelength, and frequency of a wave is given by
[tex]v=f\lambda[/tex]Where f is the frequency of the sound.
On substituting the known values,
[tex]675=f\times15[/tex]Which gives us,
[tex]f=\frac{675}{15}=45\text{ Hz}[/tex]Therefore the frequency of the sound in the given medium is 45 Hz.
Reflect on the claims and the evidence you examined today. At this point, which claim do you think is best supported by the evidence?
Claim 1: There is frozen water in tank 2, which is blocking some of the oxygen from going into tank 3.
Claim 1: , There is frozen water in tank 2, which is blocking some of the oxygen from going into tank 3.
Claim 2: Some of the liquid oxygen evaporated in tank 3.
Claim 2:, Some of the liquid oxygen evaporated in tank 3.
Claim 3: Some of the oxygen didn’t condense in tank 2.
Claim 3:, Some of the oxygen didn’t condense in tank 2.
In the space below, explain your claim choice using the evidence you discussed today.
Claim 2: Some of the liquid oxygen evaporated in tank 3 is the claim with the most proof based on the experiment with liquid oxygen and nitrogen.
In the propellant systems of missiles and rockets, liquid oxygen is employed as an oxidant for liquid fuels. In addition to acetylene and other fuel gases, oxygen is frequently used in the metal industry for metal cutting, welding, scarfing, hardening, cleaning, and melting.Therefore, the reason of above statement can be explained as, that nitrogen has a lower boiling point than oxygen, the liquid nitrogen and oxygen mixture in tank 3 is slightly heated to allow nitrogen to escape. However, as gas particles can evaporate at a temperature below their boiling point provided they have enough energy, some oxygen might have escaped simultaneously when the boiling produced sufficient energy.
Thus the claim 2 is suitable option of this evidence.
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Select the correct answer. when a small star dies, which of these celestial objects is it most likely to help create? a. a planet b. a star c. a moon d. a meteor e. a comet
It is best to choose option B. When a star runs out of fuel, it can no longer undergo the merger process and dies. The primary elements of stars are helium and hydrogen.
A white dwarf star's maximum mass is determined by Chandrasekhar's limit, a sort of maximum restricted value. The Chandrasekhar limit is often valued at 1.44 times the mass of the sun, or around 2.765 1030 kg, on a global scale.
In other words, the Chandrasekhar limit is the highest figure that may possibly reach 1.44 times the mass of the sun.
When a high-mass star runs out of gas to burn, it enlarges and changes into a red supergiant. While the bulk of stars gradually fade away, the supergiant stars, often known as supernovae, demolish themselves in a massive explosion. New stars can develop as a result of massive stellar deaths.
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if i were to drop an egg off a cliff, it begins to acceleration toward the ground, until it hits the ground and splattered. is momentum conserved in this situation?
Based on the principle of momentum, the momentum of the egg falling from a cliff and which shatters on hitting the ground is conserved.
What is momentum?Momentum is the product of the mass and the velocity of a compound.
Momentum, p = mass * velocity
Momentum is a vector quantity and its unit is kgm/s.
According to the principle of the conservation of momentum, in a system of colliding bodies, the momentum before the collision and the momentum after collision is conserved or equal.
Therefore, the momentum of the egg in the given scenario is conserved.
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three different-mass projectiles are launched at different angles of elevation from the top of a building. each particle has the same initial kinetic energy. which particle has the greatest kinetic energy just as it impacts with the ground?
The correct option is b. The one with the lowest mass.
An object's kinetic energy is determined by
k=1/2mv^2
where
m is the object's mass.
v is the object's speed.
The three missiles in this puzzle have varying masses but the same beginning kinetic energy.
The three projectiles will all have the same kinetic energy when they hit the ground because mechanical energy is conserved, assuming there is no air resistance (because the potential energy that they have lost is the same, since they have been launched from the same height, and they reach the same final altitude, the ground).
hence,
K1=k2=k3
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A llama runs until reaching its top speed. A graph of the llama's velocity over time is shown
below.
What is the llama's average acceleration from 15 to 20 seconds?
The average acceleration for that time interval will be zero because the velocity is constant.
What is acceleration?If an object's velocity changes, it is said to have been accelerated. An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.
What is velocity?Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster. If the two are travelling on the same route in the same direction, it is simple to determine which is quicker. It is challenging to identify who is moving the fastest when their motion is in the other direction. The concept of velocity is useful in these circumstances. Learn about the definition of velocity in this article as well as the distinction between speed and velocity.
the velocity is constant at -20 m/s. Hence the average acceleration for that time interval will be zero because the velocity is constant.
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Answer:
0
Explanation:
i did it on khan academy
a satellite used in a cellular telephone network has a mass of 2440 kg and is in a circular orbit at a height of 660 km above the surface of the earth. part a what is the gravitational force fgrav on the satellite? take the gravitational constant to be g
Gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , the mass of the earth to be me = 5.97×1024 kg , and the radius of the Earth to be re = 6.38×106 m then Gravitational force Fgrav on the satellite is 19383.7 N
Given value for constant Gravitational G = 6.67 x 10-11 N.m²/kg²
Earth mass is M = 5.97 x 1024
Mass of the satellite m = 2440
Earth's radius RE = 6.38 x 106 m
Height of the satellite from the surface of the Earth = H = 700 km = 700 x 103 m = 0.7 x 106 m
Radius of the satellite = R
R = RE + H
R = 6.38x106 + 0.7x106
R = 7.08 x 106 m
Gravitational force of Earth on the satellite = Fg
F, GMm R2
F,= (6.67 * 10-11)(5.97* 104) (2440) (7.08 * 106)2
Fg = 19383.7 N
Free-fall acceleration at the surface of the Earth = g = 9.8 m/s2
Weight of the satellite at the surface of the Earth = W
W = mg
W = (2440)(9.8)
W = 23912 N
Ratio of the gravitational force on the satellite to it's weight on the surface = P
P = Fg/W
p= 19383/23912
P = 0.8106
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a comet is in an elliptical orbit around the sun. its closest approach to the sun is a distance of 4.5 multiply 1010 m (inside the orbit of mercury), at which point its speed is 8.9 multiply 104 m/s. its farthest distance from the sun is far beyond the orbit of pluto. what is its speed when it is 6 multiply 1012 m from the sun? (this is the approximate distance of pluto from the sun.) speed
An elliptical orbit of a comet around the sun. The Pluton orbit is far from the sun's farthest distance. 51109.88 m/s is the speed when it is 6 x 1012 m from the sun.
given data
Vi=9.2104m/s is the comet's speed at d1=4.51010m.
When d2=61012m, the speed will be Vf.
Since there is no work done by the environment and the system's starting and final energies are equal, we can use:
[tex]E_{f}=E_{i}+W\\K_{f}+U_{f}=K_{i}+U_{i}+0\\1/2mv_{f}^{2}+\frac{-GMm}{d_{2}}=1/2mv_{i}^{2}+\frac{-GMm}{d_{i}} \\v_{f}=\sqrt{v_{i}^2+2GMm[1/d_{2}-1/d_{1}]}[/tex]
Substitute the given values to find final velocity Vf
So
[tex]v_{f}=\sqrt{(9.2*10^{4}m/s )^2+2(6.7*10^{-11})(1.98*10^{30})[1/6*10^{12}-1/4.5*10^{10}]} \\[/tex]
[tex]v_{f}[/tex]=51109.88m/s
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What will be the next step in our sun's life cycle?A. white dwarf B. red giantC. supernovaD. black hole
ANSWER:
B. red giant
STEP-BY-STEP EXPLANATION:
The Sun is currently a main sequence star and will remain so for another 5 billion years. It will then expand and cool down to become a red giant, after which it will contract and heat up again to become a white dwarf.
Therefore, the correct answer is: B. red giant
how do the kinetic energy of each of the following objects compare to one another? i. object of mass 3 kg traveling at constant velocity of 4 m/s in the x x direction ii. object of mass 1 kg traveling at constant velocity of 8 m/s in the x x direction iii. object of mass 3 kg traveling at constant velocity of 3 m/s in the x x direction and -3 m/s in the y y direction
The kinetic energy of each of the following objects compare to one another as: II > I > III
As we know the kinetic energy is follows as:
K.E. = 1/2m[tex]v^{2}[/tex]
(i) Object 1
mass = 3kg
velocity = 4m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×3×4×4
K.E. = 24J
(ii) Object 2
mass = 1kg
velocity = 8m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×1×8×8
K.E. = 32J
(iii) Object 3
mass = 3kg
velocity = -3m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×3×(-3)×(-3)
K.E. = 13.5J
Therefore, the kinetic energy of each of the following objects compare to one another as: II > I > III
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If you had access to a personal DNA machine, what would you analyze and why?
If I had access to a personal DNA machine, I would analyze my ancestry and my health condition.
Just for curiosity you can compare your DNA to your parents DNA to find whose trait you received the most. Through DNA testing one can find where their ancestors lived and which group of people they interacted with.
In terms of analyzing DNA for health condition one can identify if they have any genetic diseases and it can also be used to identify cancer in its early stages so that it can be cured. It can also be used to identify the diseases an unborn fetus might inherit.
Therefore, if I had access to a personal DNA machine, I would analyze my ancestry and my health condition.
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