The kinetic energy of the 120-kg frictionless roller coaster when it goes over a hill that is 12 m high is 16,128 J.
To calculate the kinetic energy of the roller coaster, we need to consider the conservation of mechanical energy. At the initial position, the roller coaster has gravitational potential energy due to its height, which can be calculated as mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Given that the roller coaster starts from rest at a height of 24 m, the initial potential energy is (120 kg)(9.8 m/s²)(24 m) = 28,224 J.
When the roller coaster goes over the hill that is 12 m high, its potential energy decreases by the amount mgh. Therefore, the potential energy at the top of the hill is 28,224 J - (120 kg)(9.8 m/s²)(12 m) = 16,128 J.
Since the roller coaster is at the top of the hill, all of its potential energy has been converted into kinetic energy. Therefore, the kinetic energy at this point is equal to the potential energy, which is 16,128 J.
Hence, the kinetic energy of the roller coaster when it goes over the hill is 16,128 J.
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Someone help!10 points!
Answer:
v=2
Explanation:
multiple both sides by 2 to get rid of franction
144=36v^2
then square root everything
12=6v
divide each by 6
v=2
What is the efficiency of a light bulb if it produces 30j of light energy, with an input of 120j of electrical energy?
The efficiency of this light bulb is 25% .
How do you calculate the efficiency of a light bulb?Utilizing the following formula, efficiency may be represented as a ratio: output input. The total quantity of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency may also be expressed as a percentage by dividing the ratio by 100.To represent the result as a percentage, divide the output by the input and then multiply by 100. Although both work and energy are measured in terms of the Joule, the calculator above has a space for a different unit. Make sure the energy and labour units are equivalent.Efficiency is essentially a measurement of the amount of labour or energy that may be saved throughout a process. In other words, it's similar to comparing the energy intake and output in any particular system.Given data :
output = 30j
Input = 120j
Efficiency = output / input x 100
= 30 / 120 x 100
= 25%
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An electron with a charge of -1.6 × 10-19 coulombs experiences a field of 1.4 × 105 newtons/coulomb. What is the magnitude of the electric force on this electron due to this field? A. 1.6 × 10-3 newtons B. 1.4 × 1024 newtons C. 2.2 × 10-14 newtons D. 7.4 × 10-13 newtons E. 4.5 × 1014 newtons
***update, its not D lol
Answer:
Electric force, \(F=2.24\times 10^{-14}\ N\)
Explanation:
It is given that,
Charge on an electron is \(-1.6\times 10^{-19}\ C\)
Electric field, \(E=1.4\times 10^5\ N/m\)
We need to find the magnitude of the electric force on this electron due to this field. The electric force is given by :
\(F=qE\\\\F=1.6\times 10^{-19}\times 1.4\times 10^5\\\\F=2.24\times 10^{-14}\ N\)
So, the electric force is \(2.24\times 10^{-14}\ N\).
How is the mirror angle related to the angles of incidence and reflection?
Answer:
mirror angle is related to sngle of incident n reflection becuse they are ewaul to each other
Could somebody pls help me out with this?
1) You serve a Volleyball with a mass of 1.6kg. the ball leaves your hand with a speed of 25m/s. the ball has________energy. Calculate it.
2) Askateboard is sitting at the top of a hill that is 26m high. the skateboard weighs 2 N. the skateboard has _____energy. Calculate it.
determine the equivalent resistance of the circuit shown in the figure. (figure 1) express your answer to three significant figures and include the appropriate units.
The figure given in the question shows a circuit with resistors that are not all in parallel or series. As a result, it will be necessary to determine the equivalent resistance of each group of resistors separately.
The groups of resistors in this circuit are as follows:R2 and R3 are connected in series, and their equivalent resistance can be calculated using the following equation:
R23 = R2 + R3
= 47 Ω + 100 Ω
= 147 Ω
R5 and R6 are connected in series, and their equivalent resistance can be calculated using the following equation:R56 = R5 + R6 = 150 Ω + 47 Ω = 197 ΩR23 and R4 are connected in parallel, and their equivalent resistance can be calculated using the following equation:
1/R234 = 1/R23 + 1/R4
= 1/147 Ω + 1/220 Ω
= 0.0105 ΩR234
= 95.238 Ω
Finally, R1 and R56 are connected in series, and their equivalent resistance can be calculated using the following equation:
R156 = R1 + R56
= 100 Ω + 197 Ω
= 297 Ω
Therefore, the equivalent resistance of the entire circuit is
R = R156 + R234
= 297 Ω + 95.238 Ω
= 392.238 Ω
= 3.92 × 10² Ω (expressed to three significant figures).
Therefore, the equivalent resistance of the circuit is 3.92 × 10² Ω.
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5 MAIN REASONS WHY PHYSICAL EDUCATION IS GOOD TO DO
Answer:
It Encourages Healthy Habits.
It Reduces Stress
It Encourages Prosocial Behavior
It Promotes Good Sleep.
It Helps Students Concentrate
hope it helps you
A cross country walker covers 540 miles in 15 days. What is her speed?
Answer:
= 1.5 miles per hour
Explanation:
speed = Distance covered/ Time taken
we need to convert days into hours for easier computation
1 day = 24 hours
15days = ?
15×24 = 360 hours
= 540/360
= 1.5 miles per hour
help pls .. Which equation states Newton's second law?
Answer:
Choice C
m = F/a
Explanation:
[Force] F = [mass × acceleration] ma
× A) m = a/F → F ≠ a/m
× B) m = Fa → F ≠ m/a
✓ C) m = F/a → F = ma
× D) m = Fa/2 → F ≠ 2m/a
Answer:
ithink ....... sorry if it wrong
d
Two forces one of 12N and another of 5N act on abody in such away that they makes an angel of 90 with each other, what is the resultant
Answer:
13 N
Explanation:
From the question,
If two forces act at right angle to each other, Their result force can be calculated using Pythagoras theorem.
R'² = R₁²+R₂²....................... Equation 1
Where R' = Resultant force, R₁ = First force, R₂ = Second force.
Given: R₁ = 12 N, R₂ = 5 N
Substitute these values into equation 1
R'² = 12²+5²
R'² = 144+25
R'² = 169
R' = \(\sqrt{169}\)
R' = 13 N.
Hence the resultant force is 13 N
if the electric field has a magnitude of 460 n/c and the magnetic field has a magnitude of 0.18 t , what speed must the particles have to pass through the selector undeflected?
Speed that must the particles have to pass through the selector undeflected2.5×103 m/s
Given
Electric field=460N/C
Magnetic field=0.18T
Then velocity,
v=E/B
=460/0.18
=2555.5=2.5×103 m/s
Charged particle motion in an electric and magnetic field.
F = q(v x B) .
Due to its direction towards the particle's circular motion, the magnetic force in this instance transforms into centripetal force. Therefore, the particle follows a circular route if the field and velocity are perpendicular to one another charged particle's movement within an electric and magnetic field. The magnetic force is perpendicular to the particle's velocity when a charge is moving through a magnetic field. Therefore, no effort is done, and the magnitude of the velocity is not modified (though the direction of momentum may be changed).
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Lolz plz help me with this it’s due soon
Answer:
Explanation:
c slowing down since the distance is going down and the time is moving up.
What acceleration does a net force of 32 N impart to a mass of; *
30 kg
45 kg
14 kg
32 kg
3 kg
0.094 m/s^2 0.94 m/s^2
O
O
O
O
1.00 m/s^2 0.44 m/s^2
O
O
O
O
O
O
O
10 points
1.41 m/s^2
O
O
This query calls for the use of Newton's second law of motion. Mass is equal to the product of acceleration and net force. Mass = 32 N / 4 m/s2 = 8 kg when the values are entered into the formula.
If an object has a mass of 10 kg and a force of 30n, what is its acceleration?We can obtain a=F/m by adopting the formula F=m*a and rearranging the subject. Then, using the provided numbers as substitutes, we can determine that a=30/10=3. The item will accelerate at 3ms-2 because acceleration is measured in ms-2.
How is force calculated?Newton's second law of motion provides the definition of the force formula: An object's force is equal to its mass times its acceleration. F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).
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in general doubling the diameter of an optical telescope will
In general, doubling the diameter of an optical telescope will increase its light-gathering power by a factor of four.
This means that the telescope will be able to collect four times as much light, making faint objects appear brighter and allowing for better resolution and detail in observations. However, doubling the diameter of a telescope also increases its weight, cost, and complexity, so there are practical limitations to how large a telescope can be built.
In general, doubling the diameter of an optical telescope will:1. Increase light-gathering power: The light-gathering power of a telescope is directly proportional to the area of its aperture (the opening where light enters).
Since the area of a circle is given by the formula A = πr^2, where r is the radius, doubling the diameter (and thus the radius) will increase the area by a factor of 4. This allows the telescope to collect more light, resulting in brighter and clearer images.2. Improve resolution: Resolution is the ability of a telescope to distinguish between two closely spaced objects in the sky. The resolution is inversely proportional to the diameter of the aperture.
So, when the diameter of the aperture is doubled, the resolution is improved by a factor of 2. This allows the telescope to reveal finer details in the observed objects.
In summary, doubling the diameter of an optical telescope will increase its light-gathering power by a factor of 4 and improve its resolution by a factor of 2, resulting in brighter, clearer, and more detailed images.
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Students in a science class were given a box of materials and asked to use the materials to demonstrate that moving charges create a magnetic field. From the materials in the box, which can be used together to demonstrate this effect of moving charges?
Answer:
The voltmeter, some wire, and the directional compass
Explanation:
The battery, wire, directional compass and a iron nail can be used together to demonstrate the magnetic field of moving charge.
What is magnetic field?In the surroundings of a magnet, an electric current, or a shifting electric field, there is a vector field called a magnetic field where magnetic forces can be seen. Electric charges in motion and the intrinsic magnetic moments of elementary particles connected to the fundamental quantum characteristic known as spin create a magnetic field. One of the four fundamental forces of nature, the electromagnetic force, is made up of the electromagnetic field, which includes both the magnetic field and the electric field.
A battery, wire and a iron nail can be used to form a circuit, where iron nail is used as a resistor to stabilize the battery. The current is now flowing through the closed circuit. Now if a directional compass is brought near the circuit, it will deflect in certain direction to demonstrate the magnetic field produced by the moving charge.
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the outer planets, like jupiter, are larger and have compositions of mainly gas because there was a larger supply of material for them to incorporate into their mass. true or false
True. The outer planets, like Jupiter, are called gas giants because they are composed mainly of hydrogen and helium gas. They are much larger than the inner planets because they were able to capture a larger amount of gas and dust during their formation due to their stronger gravitational pull.
This is why they have a more gaseous composition compared to the rocky inner planets.
The outer planets, including Jupiter, formed in regions of the solar system where there was an abundance of lighter elements, such as hydrogen and helium, in gaseous form. These planets could incorporate these gases into their mass, making them larger and giving them their mainly gaseous compositions.
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The outer planets, such as Jupiter, are indeed larger and composed mainly of gas due to a larger supply of material available for them to incorporate into their mass.
During the early stages of the solar system, the outer region of the solar nebula contained more gas and dust compared to the inner regions.
As a result, the outer planets had more material to accumulate and grow larger. In summary, the larger supply of material in the outer regions of the solar system allowed the outer planets to grow larger and become mainly composed of gas.
Hence, The outer planets, such as Jupiter, are indeed larger and composed mainly of gas due to a larger supply of material available for them to incorporate into their mass.
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A coin is thrown horizontally from the top edge of a vertical building with a speed of 10 m/s. It falls half the height of the building in the last second of its fall.
1. Find the total fall time in [s].
2. Find the height of the building in [m].
3. Find the horizontal distance from the base of the building in [m].
The fall time would be 3.414 sec. On the other hand, the height of the building would be 57.12 meters. Finally, the horizontal distance from the base of the building would be 34.14 meters.
How to find the time of fall of the coin?To find the fall time of the coin we must take into account the information provided by the question and carry out the following mathematical procedure:
Let the time spent = T
h = 1/2gT²
T = \(\sqrt[n]{\frac{2h}{g} }\)
T = 3.414 seconds
How to find the height of the building?To find the height of the building we have to take into account the result of the previous procedure and carry out the following mathematical operation:
(h - g)² = 4 * g
h² + g² - 2hg - 4gh = 0
h² - 6hg + g² = 0
h = 57.12m
How to calculate the horizontal distance from the base of the building?To find the horizontal distance from the base of the building we have to perform the following mathematical operation:
Horizontal distance = 10 * T
Horizontal distance = 10 * 3.414m
Horizontal distance = 34.14 m
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If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation s(t) = 6t + 5t2 (a) Find the velocity after 2 seconds. m/s (b) How long does it take for the velocity to reach 40 m/s? (Round your answer to two decimal places.)
The velocity after 2 seconds is 26 m/s. It takes 11.50 seconds to reach a velocity of 40m/s.
Given the equation s(t) = 6t + 5t²
Let's find the velocity after 2 seconds.
(a) Velocity = (ds)/(dt)
Differentiating s(t) with respect to t, we get; ds(t) / dt = 6 + 10t
At t = 2,ds(t) / dt = 6 + 10t = 6 + 10(2) = 26m/s
Therefore, the velocity after 2 seconds is 26 m/s.
(b) We are to find how long it takes for the velocity to reach 40m/s. We know that the initial velocity of the ball, u = 6m/s. Acceleration = gsinθ = 9.81 x sin (angle of inclination) = 9.81 x 0.3 = 2.943 m/s²From the first equation of motion, v = u + at
We know v = 40m/s, u = 6m/s, a = 2.943m/s² and t is what we are to find, hence the equation becomes;40 = 6 + 2.943(t)t = (40 - 6) / 2.943t = 11.50s
Therefore, it takes 11.50 seconds to reach a velocity of 40m/s.
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Energy Representations 3: Power and Efficiency:Question 2
This Sankey diagram shows the energy transformations
in a mixer used to stir ingredients together. If the
percentage of non-useful energy produced by the mixer
is 30%, what is the energy efficiency of the mixer?
Select one:
10%.
70%.
100%.
30%.
Electric energy
Sound
Thermal energy
energy
Kinetic energ
The energy efficiency of the mixer is 70%.
The Sankey diagram shows the amount of energy absorbed, the amount of useful energy, and the amount of non-useful energy.
Input energy = output energyInput energy = useful energy + non-useful energyInput energy (I) = useful energy (U) + waste energy (W)The efficiency of a device
η = (U/I) × 100%
Input energy is always 100%I = U + W
100% = U + 30%
U = 100% - 30%
U = 70%
The efficiency of the mixer
η = (U/I) × 100%
η = (70%/100%) × 100%
η = (7/10) × 100%
η = 70%
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If someone weighs 80n on Mars and comes back on earth will they weigh the same
Answer:
No
Explanation:
Your answer will be no because Mars has less gravity then Earth does but you would still have the same amount of mass therefor If someone goes to Mars and goes back to Earth they would not weigh the same as they did on earth.Hope it helps you!
If temperature is a measure of kinetic energy of the molecules in a substance, why isn’t the temperature of two liters of boiling water twice as high as it of one liter?
Answer:
Temperature is not a measure of the total kinetic energy of all the molecules in a substance. Two liters of boiling water have twice as much kinetic energy as one liter. The temperatures are the same because the average kinetic energy of molecules in each is the same.
A common design for a spotlight uses a lens and a mirror, combined with a gas-discharge lamp, to project a powerful parallel beam of light. Where are the lens and mirror positioned?
Answer:
Explanation:
For answer please see the image attached .
The mirror reflects the light while the lens allows the light to pass through it. The lens and mirror are positioned parallel and opposite each other.
What is the difference between the lens and mirror?The basic difference between the lens and mirror is that mirror reflects the light while the lens allows the light to pass through it. Both are optical instruments but their laws are different.
The lens and mirror are positioned parallel and opposite each other. From the above conditions, it is observed that first, the light gets passed through the lens.
After it passes through the light got reflected. As the light reflected the mirror it again passes through the lens and converts the distributed or parallel lights into a single beam of light.
The single beam of light is known as the spotlight.
Such types of design for a spotlight use a lens and a mirror, combined with a gas-discharge lamp, to project a powerful parallel beam of light.
Hence the lens and mirror are positioned parallel and opposite to each other.
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What area of science compares and describes quantities and movements of matter and energy?.
Physics is the area of science that compares and describes quantities and movements of matter and energy. The correct option is option 2.
What is physics?Physics is the study of matter and energy in space and time, as well as their interactions. The interactions of particles and physical objects are governed by energy and the fundamental forces of nature. Science's study of matter, its motion through space and time, as well as related ideas like energy and force, is known as physics.
Therefore, the branch of science known as physics compares and describes the amounts and motions of matter and energy. The right choice is number two.
The complete question is given below:-
What area of science compares and describes quantities and movements of matter and energy?
1. earth science
2. physics
3. chemistry
4. biology
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During an all-night cram session, a student heats up a 0.858 liter (0.858 x10 −3
m 3
) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.2 ∘
C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 90.6 ∘
C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.
First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.
Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.
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Scientists have invented the equipment to harness the power of lighting for energy use. True or false
the two forces shown acting on square . determine the magnitude of F, which will cause zero moment at point 0
Answer: u excited for the super bowl?
Explanation:
An igneous rock floats because air bubbles became trapped when molten material erupted from an underground volcano.
How else can this rock be accurately described?
A. intrusive
B. extrusive
C. large crystals
D. coarse texture
Answer:
d
Explanation:
Pumice is the type of extrusive igneous rock that can float on the water because air bubbles are trapped when molten material erupted from an underground volcano. Hence, option B is the correct option.
Igneous Rock- when molten roacks or the material of the molten rocks are solidified igneous rocks are formed.
Intrusive igneous rocks
This type of rock is made by crystallization below the earth's surface. In this process, the large crystals of this rock are formed when slow colling occurs under such conditions. For example diorite and granite.
Extrusive igneous rocks
Extrusive igneous rocks cool down quickly with the contact of the surface by making small crystals. Amorphous glass is an example of this process when the extrusive igneous rocks cool very quickly.
One other example of extrusive igneous rocks is pumice. Pumice contains holes in it where air bubbles are trapped in the molten metal. Due to this holes pumice become so light that it can float in water.
Thus, Pumice is the type of extrusive igneous rock that can float on the water because air bubbles are trapped when molten material erupted from an underground volcano. Hence, option B is the correct option.
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How are suspensions, solutions, and colloids related?
Answer:
A solution is always transparent, light passes through with no scattering from solute particles which are molecule in size. ... A colloid is intermediate between a solution and a suspension. While a suspension will separate out a colloid will not. Colloids can be distinguished from solutions using the Tyndall effect.
Explanation:
When a suspension is allowed to stand, the particles separate. A colloid is a substance that exists between a solution and a suspension. A colloid will not separate from a suspension. The Tyndall effect can be used to distinguish colloids from solutions.
What is suspension?In chemistry, a suspension is a heterogeneous mixture of a fluid containing solid particles large enough to settle.
A suspension is a complex blend in which the solute particles do not disintegrate but rather become suspended throughout the bulk of the solvent and float freely in the medium.
A solution is a uniform mixture of one or more dissolved solutes in a solvent.
A solvent is a substance that dissolves a solute to produce a homogeneous mixture. The substance that dissolves in a solvent to form a homogeneous mixture is referred to as a solute.
A colloid is a mixture in which one substance is suspended throughout another, consisting of microscopically dispersed insoluble particles.
Larger particles in a suspension settle out, block or scatter light, and can be filtered out.
A colloid contains particles that are between the sizes of a solution and a colloid; they are not heavy enough to settle or be filtered out, but they still scatter light.
Thus, this way these three are related.
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Calculate the time taken
for a drone to speed up
from 12m/s to 18m/s at
an acceleration of 3m/s
2
Answer:
2s
Explanation:
Initial velocity = 12m/s Final velocity = 18m/s Acceleration = 3m/s² Time = ?As we know that ,
\(\longrightarrow\) v = u + at
\(\longrightarrow\) t = v - u / a
\(\longrightarrow\) t = (18 - 12)m/s ÷ 3m/s²
\(\longrightarrow\) t= 6/3 s
\(\longrightarrow\) t = 2s
A train crew was cleaning out a rail tanker that had been emptied of its contents. They rinsed the rail car out with scalding hot water through a port of the bottom of the rail car. When they were finished and had drained the water out they shut the valve of the port and went home for the day. During the night the temperature droppe d and it was very cold outside. When they came back to the work the next night something happens to the rail car!
Answer:
...............
.
......