In the absence of air resistance, the only force acting on both objects would be gravity. Both objects would experience the same 9.8 m/s² acceleration toward the ground.
Since the initial conditions of both projectiles are identical, the velocities of both projectiles will be the same at all times. Therefore, both projectiles will attain a zero vertical velocity at the same time, and it is at this point that they simultaneously reach their respective maximum heights.
The maximum heights will not be the same, and they will differ by precisely the amount of height difference between the launch points.
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A metal block of mass 5kg lies on a horizontal platform. if a horizontal force of 8n applied to the block through its centre of mass just slides the block on the platform. what will be the coefficient of limiting friction between the block and the platform
Answer: the coefficient would be either 4 or 5
Explanation:
a ray of green light travels through air and is refracted as it enters a glass prism shown in the figure. an unknown liquid is in contact with the right side of the prism. the light then follows the path shown. which one of the following statements concerning this situation is true? a) the frequency of the light changes inside the prism. b) the index of refraction of the glass is smaller than that of air. c) the index of refraction of the unknown liquid is the same as that of the glass. d) the speed of light is larger in the liquid than in the glass. e) the refractive index of the liquid is the same as that of air.
Option C, Since there is no refraction and light travels in almost the same direction in both the glass as well as the unknown liquid, their indexes of refraction are identical.
Moving from the atmosphere to the glass causes the light to slow down. A prism's angle is 60 degrees, and its green light refractive index is 1.5.
The many media, or matter particles, through which light passes were used to gauge both its speed and how it appears to the human eye. To discern the different light wavelengths, the speed should slow down when the white light is revealed via the prism.
The following formula is used to get the refractive index:
n₁ sinθ₁ = n₂sinθ₂
where n₁ and n₂ represent the observed difference and represent the diffraction pattern between two liquids.
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50 POINTS!
Write a paragraph that answers the questions below:
If there is a situation that would require a person to use self defense, what offensive strategies would you recommend they use?
What defensive strategies would you recommend they use?
Based on the videos, which move(s) look most effective for offense if there is a situation that would need self defense?
Based on the videos, which move(s) look most effective for defense if there is a situation that would need self defense?
If a person is forced to utilize self-defense, the offensive techniques that should be recommended are as follows:
Take the initiative.I would advise them to employ the following defense strategies:
Keeping your head safeKeeping your elbow between you and the evil person.Based on the films, the move(s) that appear to be the most successful for the offense in a circumstance requiring self-defense are to target the problem rather than the person.
What is an offensive strategy?An aggressive competitive strategy is a form of company strategy that involves actively pursuing industry changes.
Companies that go on the offensive typically make acquisitions and invest extensively in R&D and technology in order to remain ahead of the competition.
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The wise and economic use of energy sources is the best way of conserving existing energy sources. Justify this statement.
The wise and economic use of energy sources is the best way of conserving existing energy sources because it ensures that energy sources that are not renewable such as petroleum are effectively managed so that they last for a longer time.
What is the conservation of resources?The conservation of resources refers to the various steps ad method employed to ensure that the existing resources are available for a long time and for future generations.
Conservation of energy sources involves effective and efficient use and management of energy sources so that they last longer. One way is the use of renewable energy.
One of the most important ways of the conservation of resources is the process of recycling to ensure that resources are reused.
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what is the typical power radiated by an ils localizer? what is the potential problem with an ils localizer assigned to 108.1 mhz and a nearby fm broadcast station assigned to 107.7 mhz (hint: what is the typical power radiated by fm radio stations)?
The transmitters operate between 190 and 535 kHz, have a range of at least 15 miles, and have a power of less than 25 watts.
A localizer's sensitivity range.The localizer course is typically 5°, which is fairly narrow. High needle sensitivity follows from this. When the airplane is 2.5° to either side of the centerline with this course width, a full-scale deviation is visible. This sensitivity enables precise alignment to the runway for landings.
Operating between the frequencies of 108.10 MHz and 111.95 MHz, the localizer transmitter uses one of the 40 ILS channels. Signals give the pilot direction to the middle of the runway.
An instrument landing system is a precise runway approach device that uses two radio beams to give pilots horizontal and vertical guidance as they approach the landing. The glideslope (GS) defines the proper vertical descent profile, while the localizer (LOC) offers azimuth guidance.
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luisa is setting up a simple and cheap studio for her photography shoot by using a bulb inside a reflective shell that directs light forward and clips to the edge of a table. what is this device that luisa is using called?
Luisa is setting up a simple studio for her photography shoot using bulb inside a reflective shell that directs light forward and then clips it to the edge of table. The device that Luisa is using is called clamp light.
What is the importance of clamp light?Clamp light is a kind of lighting fixture used in films that is to hold a screw-in light bulb and sometimes it may also have an aluminum reflector dish and light is mounted with a spring clamp on one side of an open door.
Clamp lights are good addition to any artists or photographers. These are compact as well as portable. These lighting fixtures contain a gripping device so that it can be easily attached to tables, beams and other surfaces.
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4. A bicycle decelerates due west from 10m/s to rest in 4 seconds and uniformly accelerates due east to reach its original speed in another 4 seconds. A) The acceleration of the bicycle B) I) plot the speed - time li) velocity - time Ii) distance- time iv) displacement - time (v) acceleration - time. From the graph find( c) (I) the distance traveled (ii) the displacement (III) average speed and (iv) average velocity
0 m/s² is the acceleration of the bicycle
decelerates due west = velocity/time
decelerates due west =10/4
decelerates due west = -2.5
accelerates = velocity/time
accelerates = 10/4
accelerates = 2.5
net acceleration = -2.5 +.5
net acceleration= 0 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity. An object is considered to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second. The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, nothing that is moving at a steady speed is accelerating.
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When using a schematic for
troubleshooting, which of these is the best
property to follow?
A. the service
B. the meter
C. the power
When using a schematic for troubleshooting, the best property to follow is the meter and is denoted as option B.
What is Meter?This is referred to as any type of device which is built to accurately detect and display an electrical quantity in a form which is readable by a human being.
Examples of meters which are used by people include voltmeter, ohmeter etc which are used to read voltage and current respectively. It is used to troubleshoot when schematics are used as certain parameters are detected and analyzed so as to detect the issue and solve it appropriately.
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what if a primordial black hole with the mass of our moon and a schwarzchild radius of 0.01cm approached, passed through, and exited the earth? what might happen to our planet and to life here?
When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.
What is a primordial black hole?A hypothetical type of dark gap that formed soon after the Big Bang is known as primordial dark openings. High densities and inhomogeneous circumstances in the early cosmos may have caused sufficiently thick regions to experience gravitational crumpling, which would have framed black openings. Supermassive dark gaps can be distinguished from bring down mass clusters by certain characteristics. Firstly, due to some SMBHs, the usual thickness of an SMBH (defined as the mass of the dark opening divided by the volume inside its Schwarzschild range) may be less than the thickness of water.Given that the volume of a round question, such as the occasion skyline of a non-pivoting dark opening, is specifically relative to the 3D square of the span, and that a dark gap's thickness is. On the other hand, conversely relative to the square of the mass, higher mass dark gaps have lower normal thickness, this is the reason. As with thickness, the tidal power of a body at the occasion of skyline is counterintuitively related to the square of the mass, Therefore, the tidal powers in the region of the occasion skyline are essentially weaker for monstrous dark apertures. It's a slow-moving event.When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.To learn more about primordial black hole, refer to
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When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.
What is a primordial black hole?A hypothetical type of dark gap that formed soon after the Big Bang is known as primordial dark openings.High densities and inhomogeneous circumstances in the early cosmos may have caused sufficiently thick regions to experience gravitational crumpling, which would have framed black openings.Supermassive dark gaps can be distinguished from bring down mass clusters by certain characteristics.Firstly, due to some SMBHs, the usual thickness of an SMBH (defined as the mass of the dark opening divided by the volume inside its Schwarzschild range) may be less than the thickness of water.Given that the volume of a round question, such as the occasion skyline of a non-pivoting dark opening, is specifically relative to the 3D square of the span, and that a dark gap's thickness is.On the other hand, conversely relative to the square of the mass, higher mass dark gaps have lower normal thickness, this is the reason.As with thickness, the tidal power of a body at the occasion of skyline is counterintuitively related to the square of the mass,Therefore, the tidal powers in the region of the occasion skyline are essentially weaker for monstrous dark apertures.It's a slow-moving event.When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.To learn more about primordial black hole, refer to
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when a star is moving towards us (the earth) due to a planet orbiting it and tugging on it, we see a blue shift in the star's spectrum. this corresponds to what in terms of its radial velocity?
When the radial velocity is positive, it means the distance between the objects is or was becoming closer; when it is negative, it means the distance between the source and the observer is or was getting closer.
What is radial velocity?The portion of a particle's velocity that is moving in the direction of its radius vector. or radial motion, which is the speed at which an observer approaches or recedes from a celestial body or other source of radiation in the line that connects the two: speed in the visual field.
This technique is one of the detection methods that enables us to calculate an exoplanet's mass, a crucial factor in the hunt for worlds similar to Earth and other extraterrestrial life.
Radial velocity has been used to locate hundreds of distant planets and was the first effective approach for exoplanet discovery. Because stars do not need to be continuously monitored as they do with transit photometry, it is perfect for ground-based telescopes.
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Which of the following objects have kinetic energy?
An elephant walking 1.5 m/s along the ground.
A jet flying across the sky 4,000 m above the ground.
A car traveling 20 m/s along a flat road.
A concrete block sitting on the ground.
An apple on a tree branch 3.0 m above the ground.
You throw a ball straight up with a velocity of 25 m/s. How high will it reach before it begins falling back down? How long will it take to come back down and hit you on the head? How fast will it be going?
Answer:
1. It will reach a height of 31.877m
2. 5.102 seconds
3. -11.456 m/s
Explanation:
suppose you have a planet with the same average density as the earth, but half the radius. how would the acceleration due to gravity on an object near the surface of that planet compare to our g (the acceleration due to gravity on an object near the surface of the earth)?
It would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.
Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]
Where R' is the radius of the planet.
g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]
gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE
= G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])
g = 4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]
Now, g'/g = R'/[tex]R_{E}[/tex] = [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2
g' = 1/2
it would be half of g.
What is acceleration?Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or the first derivative of velocity with respect to time. The SI unit of acceleration is as [tex]m/s^2[/tex].
An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in direction of motion. Some examples of acceleration are a falling apple, the moon orbiting the Earth, or a car stopping at a traffic light.
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distinguishing inner and outer planetsa 2 column by 2 row table. column 1 is titled planet with the following entries: a, b. column 2 is titled length of a day in hours with the following entries: 16 hours, 1,408 hours.which planet is an inner planet, and which one is an outer planet? explain your answer.
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consider a uniform solid sphere of radius rrr and mass mmm rolling without slipping. which form of its kinetic energy is larger, translational or rotational?
The form of kinetic energy is that is larger is translational kinetic energy.
The translational kinetic energy is given by,
TK = 1/2mv²
m is the mass of the sphere,
v is the translational speed of sphere.
The rotational kinetic energy is given by,
RE = 1/2IW²
I is the moment of inertia,
W is the angular speed of the sphere.
The moment of inertia of the solid sphere is 2/5mr²
r is the radius of the sphere,
Angular speed W = v/r
Putting these values,
RE = 1/2 x 2/5mr² x v²/r²
RE = (1/2 x 2/5)mv²
RE = 1/5mv²
Comparing both the energy we can see,
The translational kinetic energy is more as compared to rotational kinetic energy.
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a tree house is 8 m above the ground. if tarzan does 360 j of work while pulling the box at constant speed from the ground up to his tree house with a rope, what is the mass of the box?
Mass refers to a body of matter's resistance to changing its speed or location in response to the application of a force.
What is the mass of the box?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter.It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The change caused by an applied force is smaller the more mass a body has.
The work done to place the box at tree house=350 J.
The distance from ground to tree house =4.0 m and g = 9.8/8²
E =mgh
m = 350 J / (9.8/8²* 4.0m)
m=8.929kg
Hence the mass of the box is 8.929kg
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a 60-kg uniform board 2.4 m long is supported by a pivot 80 cm from the left end and by a scale at the right end. how far from the left end should a 40-kg child sit for the scale to read zero?
Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.
Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)
0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)
Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:
mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392
when Force = 100 N
note 1.6Force = 160 235.2 (0.80 -x)
160 + 392(0.8 - x) = 235.2
x = 0.61 m
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Moving a charge from point A
A
, where the potential is 350 V
V
, to point B
B
, where the potential is 130 V
V
, takes 4.7×10−4 J
J
of work.
Answer:
Explanation:
Given:
φ₁ = 350 V - potential of point A
φ₂ = 130 V - potential of point B
A = 4.7·10⁻⁴ J - Work of the electric field
______________________
Q - ?
The magnitude of the electric charge:
Q = J / Δφ
Potential difference:
Δφ = φ₁ - φ₂ = 350 - 130 = 120 V
Then:
Q = J / Δφ = 4.7·10⁻⁴ / 120 ≈ 3.9·10⁻⁶ C or Q
Q = 3.9 mkC
what is the magnitude of the net displacement of a point on the rim of the blade during the deceleration?
The net displacement of a point on the blade's rim as a result of the deceleration is 10.0 in. or 0.254 m..
In reality, the term "deceleration" refers to an acceleration that has been reversed. We are aware that deceleration is the rate at which an object slows down and that acceleration is the pace at which an object accelerates. For instance, when we apply the brakes while driving, we are employing the benefits of deceleration to lower the speed of the car.
When we sense ourselves going forward in relation to the car while driving, we are decelerating. Deceleration in this context is a specific case of acceleration that only applies to moving things. It is hence the speed at which an object slows down.
Since acceleration must be reported as both a magnitude and a direction, it is a vector. Whenever there is one-dimensional motion.
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A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.
ANSWER ASAP!!! I AM GIVING EXTRA POINTS!!!! PLEASSEEE HELP!!!
The maximum height travelled by the ball before returning to the ground is 8.62 m.
What is the maximum height travelled by the ball?The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.
H = (u²sin²θ) / 2g
where;
u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravityH = (26² (sin 30)²) / (2 x 9.8)
H = 8.62 m
Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.
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Your car is going to make a 400 meter run. Your car will start at rest and accelerate at a rate of 5.89 m/s/s until it reaches top speed. This process will last for 5.83 seconds. The remainder of the run will take place at top speed. Predict the top speed and the total time of the run.
The top speed of the car is 34.34 m/s and the total time of the run is 11.65 seconds.
What is the top speed of the car?
The top speed of the car is the final or maximum speed of the car and can be determined by applying the following kinematic equation.
v = u + at
where;
v is the final speed of the car or top speed of the caru is the initial speed of the cara is the acceleration of the cart is the time of motion of the carThe initial velocity of the car = 0, since the car started from rest.
The final equation for the top speed of the car becomes;
v = 0 + at
v = at
The given parameters include the following;
v = 5.89 m/s² x 5.83 s
v = 34.34 m/s
The total time of the run is calculated as follows;
s = ut + ¹/₂at²
where;
u is the initial velocity = 0t is the total time of the runs is the total distances = 0 + ¹/₂at²
s = ¹/₂at²
t = √(2s/a)
t = √(2 x 400 / 5.89)
t = 11.65 seconds
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a volleyball player hits a ball of mass m horizontally against a vertical wall. the ball rebounds with the same speed v with which it struck the wall. has the momentum changed, and if so, by how much (what magnitude)?
The magnitude of the change in momentum is twice the initial momentum 2mV.
Momentum is the same as the mass of an item elevated by using its pace and is equal to the pressure required to bring the item to a stop in a unit length of time.
Calculation:-
mass of the ball = m
Let the initial velocity coming the vertical wall is = +v
Final velocity bouncing back from the wall = - V
momentum = mv
Change in momentum = m ( final velocity - initial velicity)
= m ( -V - V)
= - 2mV
Only magnitude = 2mV.
Linear momentum, translational momentum, or true momentum is manufactured from the mass and speed of an item. it's far a vector quantity, possessing a magnitude and a course. If m is an object's mass and v is its velocity. Momentum is a dimension of mass in movement. How tons mass is in how much movement. additionally, it is given the symbol p.
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A sample of gas has a pressure of .87atm at 25 ˚C. What is its pressure when the temperature is increased to 50˚C?
It states that: "At constant volume the pressure of a gas sample is directly proportional to the absolute temperature."
This means that doubling the pressure of the gas will cause its absolute temperature to double.
Mathematically this law is expressed as:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\dfrac{P_{1}}{T_{1}}=\frac{P_{2}}{T_2} \iff \ P_1T_2=P_2T1 } \end{gathered}$} }[/tex]
We have that the data is:
P₁ = 0.87 atm
T₁ = 25 °C + 273 = 298 K
T₂ = 50 °C + 273 = 323 K
P₂ = ?
We clear for the final pressure:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{P_1T_2}{T_{1}} } \end{gathered}$}}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{(0.87 \ atm)\cdot(323\not{k})}{298\not{k}} } \end{gathered}$}}[/tex]
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=0.94 \ atm } \end{gathered}$}}}[/tex]
If the temperature increases to 50°C, its new pressure will be 0.94 atm.Which choice tells the main causes of convection currents in the asthenosphere? question 5 options: density and temperature temperature and pressure density and weight weight and pressure
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you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? catch the ball. deflect the ball. your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
Catching the ball would result in a reduced speed.
Simply put, what is a momentum?A quality that a moving body possesses due to its mass and motion, and which is equal to the sum of the body's mass and velocity.
You ought to catch the ball to reduce the pace of the skateboard.
Assume that "M" is the ball's mass, "m" is the skater's mass, "V0" is the speed at which the ball was thrown, and "Vs" is the skater's speed.
If the skater catches the ball according to the law of conservation of momentum:
[tex]M*V_{0}+ m*0=(m + M)*V_{s}[/tex]
[tex]V_{s}=\frac{M*(V_{0}-V_{s })}{m}[/tex]
The ball will assume a new velocity with a direction opposite to that of the skater if the skater deflects the ball; let that new velocity be "Vb":
Since:
[tex]V_{0}-V_{s} < V_{0}+V_{b}[/tex]
Catching the ball would result in a reduced speed.
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The question you looking for
You are standing on a skateboard, initially at rest. A friend throws a very heavy ball towards you. You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). What should you do in order to MINIMIZE your speed on the skateboard?
Choose one of the following three answers.
A) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
B) You should catch the hall.
B) You should deflect the ball
two balls a and b, having different but unknown masses, collide. a is initially at rest when b has a speed v. after collision, b has a speed of v/2 and moves at a right angle to its original motion. find the direction in which the ball a moves after the collision.
If A ball is at rest, the moving ball's velocity vector must point to the center of the stationary ball.
Explain about the velocity vector?A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. Velocity vectors can be added or removed in accordance with the principles of vector addition. the velocity vectors' length.
If we just state that a car is moving at 70 km/h, we have not fully described its motion because we have not stated the direction in which it is moving. Thus, a vector quantity such as velocity is an example.
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Protons carry ___ compared to electrons.
A) an equal magnitude of charge
B) more magnitude of charge
C) less magnitude of charge
Pick ONE only.
Answer:
Explanation:
Protons carry an equal magnitude of charge compared to electrons.
A) an equal magnitude of charge
Protons carry an equal magnitude of charge compared to electrons. Thus, option A is correct.
A proton is a stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of the opposite sign.
An electron is a stable subatomic particle with a negative electric charge, found in all atoms, and acts as the primary carrier of electricity in solids.
Although the mass of a proton is much larger than that of an electron, the magnitudes of their charges are equal.
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How can I figure out the area of something in physics?
Area in physics can be found by division of the area into simple figures such as triangles, rectangles and trapezoids and offsets from a straight line.
How to find area in physics?Area is a measure of how much space is there inside a shape and calculating the area of a shape or surface can be useful in everyday life.
The amount of surface a two-dimensional shape can cover which is measured in square units is called area and the SI unit of area is the square meter.
Area = length x breadth and Area = π × radius × radius - formulas can be used for finding area of different quadrilaterals.
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Serena travels 1100m in 26.2s. How many significant digits should be in your answer?
The speed of Serena in the correct number of significant figures is 43.00 m/s
What is the speed?The term speed is defined as the ratio of the distance to the time that is taken. Let us recall that speed is a vector quantity hence we do not need to use the direction in finding the speed at all.
We now have the following;
Distance travelled = 1100m
Time taken = 26.2s
Speed of Serena = 1100m/26.2s
= 42.98 m/s
The speed of Serena to the correct number of significant figures is 43.00 m/s.
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three objects are at the top of an inclined plane: a disk, a sphere, and a ring. all of the objects have the same radius and the same mass. which object would finish last in a race down the incline if they are all released from rest? (hint: use conservation of energy methods, and note that at the bottom there is both translational and rotational energy)
The ring would finish at last in the race down the incline.
Incline is a a plane surface tilted at some angle from the horizontal.
The moment of inertia of the ring = [tex]mr^{2}[/tex]
The moment of inertia of the disc = ( [tex]mr^{2}[/tex] ) / 2
The moment of inertia of the solid sphere = 2( [tex]mr^{2}[/tex] ) / 5
Since the moment of inertia is the resistance to rotational motion, we see that the object with the smallest moment of inertia will reach the bottom first.
The gain in total kinetic energy is equal to the loss in gravitational potential energy, which in turn is the same for all the objects and is equal to 'mgh'
where h is the height of the inclined plane.
So the order of reaching the bottom is Sphere, disc and ring.
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