Consider a thin hoop and a uniform cylinder of equal mass and radius competing in a race down a ramp. Write a general formula for the conservation of energy for both the hoop and the cylinder.
The general formula for the conservation of energy for both the hoop and the cylinder can be expressed as: Etotal = Ekinetic + Epotential
What is energy?Energy is the capacity of a system or object to do work. It is the ability to cause change by transferring energy from one object to another. Energy can take many forms, such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (energy from heat), electrical energy (energy from the flow of electrons), chemical energy (energy stored in chemical bonds), and nuclear energy (energy stored in the nucleus of an atom).
Where Etotal is the total energy, Ekinetic is the kinetic energy and Epotential is the potential energy.
Therefore, the general formula for the conservation of energy for both the hoop and the cylinder can be expressed as:
Etotal = (1/2 mv2) + (mg * h)
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A 91 kg man weighs himself at the north pole and
at the equator. Assume the Earth is a perfectly
spherical. Which scale reading is higher? By how much?
Answer:
The scale at the North Pole is higher by 3.1 N.
Explanation:
The scale at the equator has a centripetal acceleration unlike the North Pole. So, finding acceleration at the equator from centripetal force,
(mv^2)/r = mg
v^2/r=g
463 m/s ^2 / 6378100 m = g
g = 0.0336
then multiply by the mass, 91 kg,
you'll get the difference of 3.06 or 3.1 rounded.
A man of weighs himself 91 kg at the north pole and at the equator, so the scale reading at the North Pole will be higher by 3.1 N.
What is the Equator?The equator is a large circle that surrounds the Earth, lies in a plane perpendicular to its axis, and is evenly spaced from both geographic poles.
The geographic Equator, also known as the terrestrial Equator, is the imaginary line on the surface of the Earth from which latitude is calculated. It is also the line at 0° latitude. The geographic Equator separates the Earth into the Northern and Southern hemispheres.
According to the question,
The equator has a centripetal acceleration that is different from the North Pole. So, finding acceleration at the equator from the centripetal force,
mg = (mv²) / r
g = v²/r
g= 463 / 6378100
g = 0.0336
then,
0.0336 × 91
= 3.06
Hence, the difference will be 3.06.
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An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the
right. What is the displacement of the object?
A: 1
B: 5
C: 7
D: 13
Putting the selected answers in parenthesis
A cation has a (Negative, Positive, Neutral) charge, because they have (Lost, Maintained, Gained) electrons. An anion has a (Negative, Positive, Neutral) charge, because they have (Lost, Maintained, Gained) electrons. An atom with the same number and protons and neutrons have a (Negative, Positive, Neutral) charge.
Answer:
gimmie
Explanation:
A black ball moving to the left at 3 m/s collides with a white ball at rest. Which direction will the balls move after the collision?
Answer: the location from where the black ball was thrown from because after the collision the velocity will make it still go further not stop
Explanation:
A cyclist at a grocery store, 180m from his home decides to go to the post office which is 510m from his home in the same direction. He takes 45 seconds to make the trip. He then returns home, taking a further 60 seconds.
a. What was his total displacement?
b. What was his average velocity in going from the grocery store to the post office?
c. How much was his average speed in making the entire trip
(a) The total displacement is zero
(b) The average velocity from the grocery store to the post office is 11 m/s.
(c) The average speed of the entire trip is 9.71 m/s
The given parameters;
initial position = 180 m at storefinal position = 330 m at post officetime for the forward trip = 45 stime for the backward trip = 60 s(a) The total displacement is the change in his position;
Displacement = forward position - backward position
Displacement = 510 m - 510 m = 0
(b) The average velocity from the grocery store to the post office;
Displacement = 510 m - 180 m = 330 m
Time of motion from his home to grocery store, = (60 - 45) = 15 s
Time of motion to post office = 45 s - 15 s = 30 s
\(average \ velocity = \frac{330}{30} = 11 \ m/s\)
(c) The average speed of the entire trip;
total distance = 510 m forward + 510 m backward = 1020 m
total time = 45 s + 60 s = 105 s
\(average \ speed = \frac{1020}{105} \\\\average \ speed = 9.71 \ m/s\)
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A small dog walks 12 meters east
and then 5 meters north. How many
meters is the dog from her starting
position?
[?] m
5 m
12 m
Answer:
13m
Explanation:
North and East are perpendicular so if you illustrate this it will be a right-angle triangle;
One side will be 12 and the another will be 5;
The hypotenuse will be the desired distance;
We can use pythagoras to calculate it:
5² + 12² = x²
25 + 144 = x²
169 = x²
x = 13
1. Which, if any, of these people are nearsighted (myopic)?
List the first letter of all correct answers in alphabetical order. For example, if Avishka and Edouard are the only nearsighted ones, enter AE.
2.Which, if any, of these people require bifocals to correct their vision?
3.Which, if any, of these people's vision can be corrected using only converging lenses?
Please show work and units.
1) Berenice, Chadwick, and Edouard have poor vision (near-sightedness)
The near point, or the shortest distance at which an item can be seen well by a human eye, is 25cm.
The far point is the farthest distance at which an item may be viewed clearly with the bare eye.
Diverging lenses, which produce virtual pictures at the individual's far point when confronted with objects at infinity, can be used to treat nearsightedness.
2) Bernice and Edouard have a near point larger than 25cm and a far point less than infinity, resulting in nearsightedness and hyperopia.
Because of the reasons stated above, the folks listed will need bifocals to correct their vision.
Converging lenses, which produce virtual pictures at the patient's near point when shown with things at 25 cm, can cure farsightedness. To compensate for both farsightedness and nearsightedness, bifocals have both converging and diverging lenses.
3) The near point, or the shortest distance within which an item can be seen well by a human eye, is 25cm.
The far point is the farthest distance at which an item may be viewed clearly with the bare eye.
A hyperopic eye can see far away objects clearly, but its near point grows, thus it is higher than 25cm for that eye.
According to the table, Avishka and Francesca have farsightedness, hence their near point is more than 25cm, hence can be corrected using Converging lenses.
What is near-sightedness?Nearsightedness often runs in families. Objects in the distance seem hazy. The illness can progress slowly or quickly. Treatment options include glasses, contact lenses, and LASIK surgery.
Nearsightedness is frequently caused by an eye that is excessively long or oval-shaped rather than spherical. It might also be caused by a too-steep corneal curvature. As a result of these alterations, light beams collide in front of the retina. The messages transferred from the retina to the brain are distorted.
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WILL GIVE BRAINLIEST, ANSWER WITH ACTUAL ANSWER OR ELSE I WILL REPORT YOU!!!!!
Four students are assigned a project for which they must experimentally determine the coefficient of kinetic friction between a block of an unknown material and a table. Each student has their own idea of how to go about setting up the experiment. The group settles on two possible test to conduct: Student A's idea and Student B's idea. Student A believes the group can obtain the coefficient of kinetic friction by attaching a spring scale to the mass and pulling on the mass with the spring scale with a horizontally directed force. The reading on the spring scale at the moment the block begins to move is the coefficient of kinetic friction. Which of the following explains what is wrong with Student A's logic?
MC Options inserted in image below
Answer:
I know you said not to do this but I am doing a challenge and You asked this an hour ago. PLS DON'T REPORT ME.
Explanation: Sorry
The corners of a square lie on a circle of diameter D = 0.440 m. The side of the square has a length L. Find L.
if a car travels 200 m to the east in 8.0 s what is the cars average velocity?
Answer:
25 m/s
Explanation:
200/8 = 25
PLEASE ITS AN Emergency IF ITS RIGHT I WILL GIVE BRAINLIEST
Answer:
all of those are pisitions
Explanation:
What is SeaWorld?
What is this
What is that
SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.
SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.
SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.
Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.
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In the figure, a baseball is hit at a height h = 1.20 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 4.8 s later, at distance D = 54 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's velocity just after being hit? (d) How high is the wall?
Answer:
D.
Explanation:
The ball travels distance D in ∆t = 2.60 s. Therefore, the x component of the initial velocity is D =v
ox
⇒ ∆t = D/∆t = 15.4 m/s Due to the symmetry of projectile motions, it takes 1.2 seconds the ball to reach the initial height after passing the top of the wall downward. Therefore, the total flight time is t
tot
= 1.2 + 2.6 +1.2 = 5 s The horizontal range is R = v
ox
t
tot
= 77.0 m
By symmetry, the ball reaches the peak of the motion at time t
top
= t
tot
/2 = 2.5 s At the peak, the y component of the velocity is zero. Thus we have 0 = v
oy
– gt
top
⇒ v
oy
= gt
top
= 24.5 m/s The height of the wall is equal to the height of the ball at t = 1.2 s h = y (t = 1.2 s) = v
oy
+v
oy
t – (1/2)gt
2
= 23.3 m
a student practicing for a track meet ran 250 m in 30 seconds. What was her average speed?
Answer:
8.33 meters/sec.
time = 30 sec. 30 sec. = 8.33 meters/sec.
A geologist notices that a river is eroding its valley at a constant rate. Knowing the height of the valley walls, how could the geologist figure out when the river started carving the valley?
A.
Count growth rings of trees growing on the valley floor.
B.
Divide the height of the valley walls by the rate of erosion.
C.
Fill up the river valley with rocks, and time how long it takes the rocks to wash out.
D.
Sit and observe the river for a few hours until the valley walls double in height.
Answer:
B.
Divide the height of the valley walls by the rate of erosion.
Explanation:
There is a relationship between the rate of erosion and the hieght at which it is eroded according to Newton's law of motion. In the case of the scenario above, the best way to determine the time the river started carving the valley would be the division of the height of the valley walls by the rate of erosion.
The current in the wires of a circuit is 60 milliamps. If the resistance of the circuit were doubled (with no change in voltage), then it’s new current would be _____ milliamps
Answer:30
Explanation:
Current=60 milliamps
Current=(voltage)/(resistance)
60=(voltage)/(resistance)
Doubling the resistance means multiplying both sides by 1/2
60x1/2=(voltage)/(resistance) x 1/2
30=(voltage)/2(resistance)
Therefore the resistance would be 30 milliamp if we double the resistance
What is the period of an objects motion?
The slope of a line on a distant-time graph is
A. distance
B. time
C. speed
Answer:
c. speed
Explanation:
In a distant-time graph the x value is usually the time and the y value is usually the distance.
If slope is the change in y over the change in x, on a distant time graph the slope would be the change in time over the change in distance
Or time / distance.
Time / distance happens to calculate speed.
Thus, the slope of a line on a distant-time graph is speed.
\(\huge\textbf{Hey there!}\)
\(\large\textbf{The formula for Slope of a line is: }\mathbf{m = \dfrac{rise}{run}}\large\textbf{ whereas it is}\\\large\textbf{equal to/equivalent to }\mathbf{ \dfrac{y_2 - y_1}{x_2- x_1} \ .}\\\\\large\textbf{Basically, the slope of the line is measured with its }\\\large\textbf{\underline{steepness}. The word steepness simply means a}\\\lage\textbf{very sharp slope.}\)
\(\large\textbf{On slope of a line on distant-time graph is basically how }\\\large\textbf{ \boxed{\bf FAST} a particular object is.}\)
\(\large\textbf{Now, that we got that information out of the way we}\\\large\textbf{can find out our answer.}\)
\(\large\textbf{The formula for distance is: }\mathbf{d= \sqrt{(x_2 - x_1)^2 + (y_2 +y_1)^2}}}\)
\(\large\textsf{We cannot say that OPTION A isn't your answer because you}\\\large\textsf{cannot calculate slope of a line on a distant-time graph. You}\\\large\textsf{cannot calculate the speed of the object by using that formula.}\\\large\textsf{So, this eliminates Option A. as your answer.}\)
\(\large\textbf{The formula of time is: }\mathbf{time = \dfrac{distance}{speed}}\)
\(\large\textsf{Yes, it calculates the distance but it doesn't calculate how fast a(n)}\\\large\textsf{object is going. So this eliminates Option B. as your answer.}\)
\(\large\textsf{The formula for speed is: }\mathbf{s = \dfrac{d}{t}}\large\textbf{ whereas s = \underline{speed}, }\\\large\textsf{d = \underline{distance} you have \underline{traveled}, \& t = \underline{time} that has}\\\large\textsf{been \underline{elapsed}.}\\\large\textsf{Option C. could possibly be your answer}\)
\(\large\textbf{Option C. seems to be the closes to your result than the}\\\large\textbf{to your answer.}\)
\(\large\boxed{\text{Therefore, your answer should be: \boxed{\textbf{Option C. Speed}}}}\huge\checkmark\)
\(\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A certain cylinder has a height of 10.0 cm and a radius of 5.0 cm. To how many significant figures can its volume be determined?
Answer:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. Substituting the given values, we get:
V = π(5.0 cm)^2(10.0 cm) = 785.4 cm^3
The radius and height are both given to two significant figures, so the answer should also be reported to two significant figures. Therefore, the volume of the cylinder can be determined to 780 cm^3.
Explanation:
Kindly give it a five-star rating.
Match the descriptions with the graphs !
Answer:
Graph 1 matches with B, 2 with A, and 3 with C.
Explanation:
Graph 2 shows a car whose distance part of the graph is not going up or down, while the time going up. That means that the car is stopped. Graph 1 shows a straight line, meaning that the car is traveling at a constant speed. Graph 3 is a curved line, meaning the speed of the car is changing somehow, and since the line is becoming more horizontal, the car is getting slower.
HELLPPPP PLZZZ
10. Identify Which gas law
does this graph represent.
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions r1(t) = t2, 11t − 18, t2 r2(t) = 17t − 72, t2, 13t − 36 for t ≥ 0. Find the values of t at which the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Answer:
Both particles collide at \(t = 9\). (t = 9)
Explanation:
Let be \(r_{1}(t) = \langle t^{2}, 11\cdot t - 18, t^{2}\rangle\) and \(r_{2}(t) = \langle 17\cdot t-72, t^{2}, 13\cdot t - 36\rangle\) the parametric equations of the trajectories of two particles, where \(t\geq 0\). The following condition must be met when the particles collide:
\(r_{1}(t) = r_{2}(t)\)
Which implies this system of equations:
\(t^{2} = 17\cdot t -72\) and \(11\cdot t -18 = t^{2}\) and \(t^{2} = 13\cdot t -36\)
And equivalent to the following second-order polynomials:
\(t^{2}-17\cdot t +72 = 0\)
\(t^{2}-11\cdot t +18 = 0\)
\(t^{2}-13\cdot t +36 = 0\)
Another condition is that at least a common root must exists in order to confirm a possible collision. All roots are found by factorizing each polynomial:
\((t-8)\cdot (t-9) = 0\)
\((t-2)\cdot (t-9) = 0\)
\((t-4) \cdot (t-9) = 0\)
There is one common root (\(t = 9\)), which means that both particles collide at \(t = 9\).
Two football players collide inelastically in a tackle, initially moving with the same speed in opposite directions (as indicated in the picture). If Player A has a mass of 90 kg and Player B has a mass of 75 kg, which direction will the move after the collision?
If Player A has a mass of 90 kg and Player B has a mass of 75 kg, Player B will move in the opposite direction.
What is collision?A collision is defined in physics as any occurrence in which a number of bodies exert forces on one another over relatively brief period of time. Although the most popular meaning of the term collision refers to occurrences wherein two or even more objects crash violently.
Two football players collide in elastically in a tackle, initially moving with the same speed in opposite directions (as indicated in the picture). If Player A has a mass of 90 kg and Player B has a mass of 75 kg, Player B will move in the opposite direction.
Therefore, if Player A has a mass of 90 kg and Player B has a mass of 75 kg, Player B will move in the opposite direction.
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Why are weathering, erosion and deposition a NECESSARY process in the rock cycle?
ANSWER THIS NOW PLEASE! AND YOU GET 225 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YESS well it is partly nessary but it depends on the situation
Explanation:
Answer:
Weathering, erosion, and deposistion are necessary processes in the rock cycle because:
Explanation:
First, start with igneous rocks. magma erupts (Extrusive igneous rocks) or solidifies in the sub-surface of the earth (Intrusive igneous rock). when they are exposed Weathering and erosion occur which is a slow breakdown of rock through the wind, water, or other processes. The weathered pieces (sediments) move to other places by wind or water and get deposited someplace else. When there are enough sediments and there is overburden pressure on these sediments, they become a sedimentary rock. Due to overburden pressure, they become metamorphic rocks. now the thing to understand here is that when metamorphic rocks are exposed, they too undergo weathering and erosion and their pieces also become sedimentary rocks.
if the water measures -5 feet at low tide and 3ft at high tide what is the tidal range
Answer:
8 feet
................
What is the average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s
Answer:
The average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s is 24 \(\frac{m}{s}\).
Explanation:
Velocity is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. Then, the average velocity relates the change in position to the time taken to effect that change.
\(velocity=\frac{displacement}{time}\)
Velocity considers the direction in which an object moves, so it is considered a vector magnitude.
In this case, the displacement is 192 m and the time period is 8 s. Replacing:
\(velocity=\frac{192 m}{8 s}\)
Solving:
velocity= 24 \(\frac{m}{s}\)
The average velocity of a train moving along a straight track if its displacement is 192 m was during a time period of 8.0 s is 24 \(\frac{m}{s}\).
PLEASE HELP!! A TOTAL OF 50 POINTS WHEN GIVEN BRAINLIEST!!
Part A: Find the work done in lifting 1 L of blood (mass 1 kg ) from the foot to the head of a 1.9 m -tall person.
Part B: If blood circulates through the body at the rate of 5.0 L/min , estimate the heart's power output. (Your answer underestimates the power by a factor of about 5 because it neglects fluid friction and other factors.)
Explanation:
for part A:
work done is equal to change in potential energy which is
MgH
so the answer is 1.9 × 1 × 9.81
ANSWER FOR PART A: 18.639
FOR PART B:
power = flow rate x gh
= 5×9.81×1.9
93.195 watts
An owl has a mass of 4 kg. It dives to catch a mouse, losing 800 J of its GPE. What was the starting height of the owl, in meters?
The owl started out at a height of about 3.2 metres.
What is gravity?Gravity is the force that draws objects toward the center of a planet or other object.
How do you determine this?Gravitational potential energy (GPE) is calculated as follows:
GPE = mass x gravity x height. Since we are aware of the owl's mass (4 kg) and the change in GPE (-800 J) in this case, we can rewrite the formula to account for the height: tallness = GPE / (mass x gravity).
On Earth, the acceleration caused by gravity is roughly 9.8 m/s2.
By entering the known numbers, we obtain the height change as follows: -800 J / (4 kg x 9.8 m/s2) = -0.408 metres.
By combining the ultimate height (which is believed to be 0 metres) with the height change, we may get the initial height as follows: 0 m + (-0.408 m) = -0.408 m = 0.408 m = 3.2m.
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a circuit consist of four resistor in parallel with a battery three resistors have resistance of 1 ohms ,2 ohms and 3 ohms , respectively, the total resistance the circuit is 0,5 ohms and the current through the 1 ohms resistor is 4A
what is the value of fourth resistor
The value of the fourth resistor in the parallel circuit is 6 ohms.
What is the value of the fourth resistor?
The value of the fourth resistor is calculated by applying the formula for effective resistance of a parallel circuit.
1/Re = 1/R₁ +1/ R₂ + 1/R₃ + 1/R₄
where;
R₁, R₂, R₃, R₄ are the individual resistors in parallelRe is the effective resistance1/0.5 = 1/1 + 1/2 + 1/3 + 1/R₄
2 = 1 + 0.5 + 0.333 + 1/R₄
0.167 = 1/R₄
R₄ = 1/0.167
R₄ = 6 ohms
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