A cycle travels along a circular track of diameter 42 m. Calculate the distance travelled and the displacement of the cycle in (a) Half round (b)One round.
please explain it to me clearly,its so confusing
i will give brainlist to the one who explains it clearly
Answers
Answer:
(a) i) The distance travelled by the cycle in half round is approximately 65.97 m
ii) The displacement is 42 m
(b) (i) The distance travelled in one round is approximately 131.95 m
(ii) The displacement of the cycle in one round is 0
Explanation:
The diameter of the track through which the cycle travels, D = 42 m
(a) i) Half round is the motion of half the length of the circular path
The distance travelled by the cycle in half round = The length of half the circular track = (1/2) × π × D
∴ The distance travelled by the cycle in half round = (1/2) × π × 42 m = 21·π m ≈ 65.97 m
ii) The displacement half round = The change in the location of the cycle = The difference between the start and stop locations of the cycle on a straight line after half round
The angle at the center of the circular path the cycle turns in half round = 180°
Therefore, the path between the start and stop location of the cycle in half round = The diameter of the circular track
The displacement of the cycle in half round = The diameter of the circular track = 42 m
(b) (i) The distance travelled in one round = The perimeter of the circular track = π·D
∴ The distance travelled in one round = π × 42 m ≈ 131.95 m
(ii) The displacement of the cycle in one round = The change in the location of the cycle
The start and stop location of the cycle after moving one round is the same, therefore, there is no change in the location of the cycle.
Therefore we have;
The displacement of the cycle in one round = 0 (no change in location of the cycle)
Related Questions
With suitable diagrams, in your own words explain what happens
in the formation of N-type materials and P type materials which
causes this N-type and P-type material to have semiconductor
properties?
Answers
the formation of N-type and P-type materials involves introducing specific impurity atoms into an intrinsic semiconductor. These impurities modify the electron energy levels, creating excess electrons or holes that contribute to the conductivity and semiconductor properties of the resulting N-type and P-type regions
in the formation of N-type and P-type materials in semiconductors, impurity atoms are intentionally introduced to modify the properties of the intrinsic semiconductor material (such as silicon or germanium). These impurities are called dopants, and they play a crucial role in creating N-type and P-type regions within the semiconductor.
1. N-Type Material:
N-type material is formed by doping the intrinsic semiconductor with atoms that have more valence electrons than the host material. These dopant atoms are known as donor impurities. Common donor impurities include phosphorus (P), arsenic (As), or antimony (Sb).
The diagram below illustrates the formation of N-type material:
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Intrinsic Semiconductor (e.g., Silicon):
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Dopant (Donor Impurity):
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N-Type Semiconductor (Silicon + Donor Impurity):
```
When a donor impurity is introduced into the semiconductor lattice, it creates additional energy levels near the conduction band. These energy levels are filled with extra electrons from the donor atoms, which become mobile charge carriers. These excess electrons are responsible for the N-type material's conductivity, giving it its semiconductor properties.
2. P-Type Material:
P-type material is formed by doping the intrinsic semiconductor with atoms that have fewer valence electrons than the host material. These dopant atoms are known as acceptor impurities. Common acceptor impurities include boron (B), gallium (Ga), or indium (In).
The diagram below illustrates the formation of P-type material:
```
Intrinsic Semiconductor (e.g., Silicon):
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-----------------------|-----------------------
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Dopant (Acceptor Impurity):
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P-Type Semiconductor (Silicon + Acceptor Impurity):
```
When an acceptor impurity is introduced into the semiconductor lattice, it creates additional energy levels near the valence band. These energy levels can accept electrons from nearby atoms, creating "holes" or vacant states in the valence band. These holes act as mobile charge carriers and contribute to the P-type material's conductivity, giving it its semiconductor properties.
the formation of N-type and P-type materials involves introducing specific impurity atoms into an intrinsic semiconductor. These impurities modify the electron energy levels, creating excess electrons or holes that contribute to the conductivity and semiconductor properties of the resulting N-type and P-type regions.
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a powder and a liquid with total mass of 20 grams are combined in an open beaker. A reaction occurs, as indicated by the production of gas of bubbles. The final mass of solution is less than 20 grams. what best explains the difference in mass?
A. Not all reactions obey the law of conservation of mass.
B. Mass escaped as a gas from the open container.
C. Some mass was consumed in the reaction.
D. The bubbles show that mass was added to the system.
Answers
Answer:
The answer should be C. some mass was consumed in the reaction
A powder and a liquid with a total mass of 20 grams are combined in an open beaker, then the best explanation for the difference in mass is that some mass was consumed in the reaction. Hence, option C is correct.
What is a chemical reaction?A chemical reaction is the process by which any or more compounds, known as reagents, change into one or more new ones, known as products. Active ingredients or compounds make up substances. The atoms that make up the reactants are reorganized in a chemical reaction to create various products.
Technology, society, and even life itself depend on chemical interactions in one way or the other and. Chemical reactions have been recognized and employed for thousands of years in a wide variety of activities, including burning fuels, smelting iron, creating pottery and pottery, brewing beer, making wine, and manufacturing cheese. There are countless examples of complicated chemical reactions in all living systems, as well as in the Earth's geology, atmosphere, and oceans.
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you transform 750 Joules of chemical energy into mechanical energy to push a sofa. If it took 5.0s to move the sofa, what was your power?
Answers
The power required to push the sofa using 750 Joules of chemical energy is 150 watts.
We need to use the formula for power, which is power = energy/time. In this case, the energy is 750 Joules and the time is 5.0 seconds.
So, we can calculate the power as follows:
Power = 750 J / 5.0 s = 150 watts
Therefore, the power required to push the sofa using 750 Joules of chemical energy is 150 watts.
It's important to note that mechanical energy is the energy associated with the motion and position of an object, while chemical energy is the potential energy stored in the bonds between atoms and molecules. In this scenario, the chemical energy is converted into mechanical energy to move the sofa.
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what is true about current that flows through resistors in parallel? all current flows through the lowest value resistor(s). all current flows through the highest value resistor(s). the current is determined by v
Answers
A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistor use in electronic circuits includes lowering current flow, adjusting signal levels, dividing voltages, influencing active devices, and terminating transmission lines.
The voltage drop across a resistor increases with resistor size and consumes more energy as a result. Voltage drop can be confirmed using Ohm's Law. Voltage in a DC circuit is equal to current times resistance.
V = I R.
Resistors are said to as being in parallel when two nodes share terminal connections. The lowest parallel resistor is larger than the comparable overall resistance.
The supply current is equal to the total of the currents flowing through all of the resistors when they are linked in parallel. The supply current is equal to the sum of the currents in a parallel circuit's branches. The potential difference across parallel connections of resistors is the same.
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To strike or hit something with great force
Answers
Answer:
To strike or crash into with resounding impact. To collide or strike with great force. Used to indicate the sound of a forceful blow or collision.
Answer:
To strike or crash into with resounding impact. To collide or strike with great force. Used to indicate the sound of a forceful blow or collision.
Explanation:
an athlete doing push-ups performs 650 kj of work and loses 425 kj of heat. what is the change in the internal energy of the athlete?
Answers
The change in internal energy of the athlete during the push-up exercise was a decrease of 1075 kj.
To determine the change in the internal energy of the athlete, we need to use the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. In this case, we know that the athlete did 650 kj of work and lost 425 kj of heat.
Therefore, the change in internal energy can be calculated as:
ΔU = Q - W
ΔU = (-425 kj) - (650 kj)
ΔU = -1075 kj
The negative sign indicates that the internal energy of the athlete decreased during the performance of push-ups. This means that the athlete converted some of their internal energy into external energy in the form of work done on the body, and also lost some internal energy in the form of heat.
Overall, the change in internal energy of the athlete during the push-up exercise was a decrease of 1075 kj.
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Ayala is making salad dressing. She mixes oil and vinegar in a blender until a smooth consistency is formed. Explain whether this is a heterogeneous or a homogeneous mixture and why
Answers
Answer:Hetero
Explanation: Honestly, same as the last guy said
orque can be calculated by multiplying the force ( n ) applied at 90∘ to the lever arm at a distance ( m ) from the pivot point (point of rotation), the compound si unit for the torque is n⋅m . if the force (at 90∘ t
Answers
The torque, often denoted as τ, can be calculated by multiplying the force (in newtons, N) applied at 90 degrees to the lever arm (in meters, m) from the pivot point (point of rotation). The compound SI unit for torque is newton-meter (N⋅m).
Torque is a measure of the rotational force or moment that tends to cause an object to rotate around an axis or pivot point. It depends not only on the magnitude of the force but also on the distance between the force application point and the pivot point.
In the context of a lever, the torque can be calculated as τ = F * r * sin(θ), where F is the force applied perpendicular to the lever arm, r is the distance from the pivot point to the force application point, and θ is the angle between the force vector and the lever arm.
Understanding and calculating torque is crucial in various fields, such as physics, engineering, and mechanics, as it helps determine the rotational behavior and equilibrium of objects subjected to forces.
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Which type of radiation produces a wave and a lot of energy?A. GammaB. AlphaC. BetaD. Zeta
Answers
The correct answer is option A.
The Gamma waves emitted from radioactive decay have a frequency of around 10¹⁹ Hz, which is much greater compared to the alpha of beta waves.
The frequency is directly proportional to the energy of the waves as given by the equation,
\(E=hf\)Where E is the energy, h is the Planck's constant, and f is the frequency.
Thus the gamma waves have a lot of energy compared to the other options.
Thus the correct answer is option A.
Match the words on the left with the words on the right.Group ofanswer choices Wind Turbine[ Choose ] Tar Sands MountaintopRemoval Geothermal Power Albert Einstein No carbon dioxide produced Photovoltaic[ Choose ] Tar Sands Mountaintop Removal Geothermal Power Albert Einstein No carbon dioxide producedCoal[ Choose ] Tar Sands Mountaintop Removal Geothermal Power Albert Einstein No carbon dioxide producedAlberta, Canada[ Choose ] Tar Sands Mountaintop Removal Geothermal Power Albert Einstein No carbon dioxide producedWestern USA
Answers
The Western USA is a region of the United States
Group of answer choices Wind Turbine[ Choose ]
No carbon dioxide produced Photovoltaic Tar Sands Mountain top Removal Geothermal Power
Albert Einstein[ Choose ] No carbon dioxide produced Photovoltaic Tar Sands Mountaintop Removal Geothermal
PowerCoal[ Choose ] No carbon dioxide produced Photovoltaic Tar Sands Mountaintop Removal Geothermal
PowerAlberta, Canada[ Choose ] Tar Sands No carbon dioxide produced Mountaintop Removal Geothermal Power
Albert EinsteinWestern USA[ Choose ] No carbon dioxide produced Photovoltaic Tar Sands Mountaintop Removal Geothermal
PowerAlbert Einstein is related to the theory of relativity.
The Wind Turbine is a device that converts the kinetic energy of wind into mechanical energy.
No carbon dioxide is produced in photovoltaic, Geothermal Power, and Wind Turbine as they do not involve combustion.
A tar sand is a sandstone that contains bitumen.
Mountaintop Removal is the practice of mining through the summit of a mountain.
Coal is a combustible black or brownish-black sedimentary rock.
Alberta, Canada is one of the largest oil reserves in the world, known as Tar Sands.
Finally, the Western USA is a region of the United States.
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A funnel is dipped into a liquid soap solution. State and explain what happens to the soap bubble when the funnel is removed
Answers
Answer: When a funnel is dipped into a liquid soap solution, soap molecules from the solution stick to the surface of the funnel and form a thin film. As the film becomes thinner, it reaches a point where it can no longer support its own weight, and gravity causes it to detach from the funnel and form a soap bubble.
When the funnel is removed, the soap bubble remains intact due to the surface tension of the soap film. Soap molecules have hydrophilic (water-attracting) and hydrophobic (water-repelling) ends, which enable them to form a stable film at the surface of the liquid. The surface tension of the soap film creates a force that tries to minimize the surface area of the bubble, which is why soap bubbles tend to form spherical shapes.
However, the soap bubble is not stable and will eventually burst due to a number of factors, such as evaporation of the liquid, changes in temperature or humidity, or contact with other objects. When the soap bubble bursts, the soap film breaks apart and the soap molecules mix with the surrounding air or liquid.
Explanation:
When a funnel is dipped into a soap solution and removed, a soap bubble forms due to the surface tension of the soap solution. As air is blown into it, the bubble expands until it pops when the soap film can't withstand the pressure difference anymore.
Explanation:When a funnel is dipped into a liquid soap solution and then removed, a soap bubble forms at the end of the funnel. This phenomenon occurs due to a property of liquids known as surface tension. Surface tension is the force that causes the liquid surface to contract, thus forming a shape with the minimum possible area, a sphere.
After the funnel is dipped into the soap solution, a thin film of soap solution forms inside it. When the horn is removed and the air is blown from the other end, the air trapped inside the thin soap film expands to include a bubble.
Eventually, gravity causes the liquid soap to flow downwards, thinning the top of the bubble, and the bubble will pop when the film is too thin to sustain the pressure difference between the inside and outside. So, stating and explaining what happens to the bubble when the funnel is removed can also take into consideration the effect of gravity in this process.
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A following interval of _____ seconds provides time to steer out of problem areas on dry surfaces at speeds up to 35 mph.answer choicesa. 10b. 2c. 6d. 4
Answers
On dry surfaces at up to the speed 35 mph, a following gap of two seconds time gives enough time to steer clear of trouble spots. Meaning we can steer clear of the issue.
if there is a two-second time gap on dry surfaces. Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. A faster rate of movement is indicated by a higher speed. Slower movement is indicated by a lower speed. Its speed is zero if it isn't moving at all. In simple words, we define speed or velocity as the distance travelled in a specific amount of time.
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Consider a black body of surface area 20.0 cm² and temperature 5000 K . (h) 1.00 mm (infrared light or a microwave)
Answers
The total energy emitted by the black body in a thickness of 1.00 mm is approximately 0.00006 joules.
The Stefan-Boltzmann Law states that the radiant energy per unit time per unit area emitted by a black body can be determined using the equation: R = σT⁴, where σ is the Stefan-Boltzmann constant (5.67 x 10⁻⁸ W/m²K⁴), T is the temperature of the black body, and R represents the radiant energy per unit time per unit area.
Using this equation, we can calculate the radiant energy emitted by the black body. For example, if the temperature of the black body is 5000K, the calculation would be as follows:
R = σT⁴ = 5.67 × 10⁻⁸ x (5000)⁴ = 15,023.4375 watts per square meter.
Assuming the area of the black body is 20 cm² (0.002 m²), we can calculate the total radiant energy emitted by the black body:
E = R x A = 15,023.4375 x 0.002 = 30.047 watts.
To calculate the total energy emitted by the black body in a specific thickness (1.00 mm), we use the formula: energy per unit area x area x thickness.
E = E x A x t = 30.047 x 0.002 x 0.001 = 0.00006 joules.
Therefore, the total energy emitted by the black body in a thickness of 1.00 mm is approximately 0.00006 joules.
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Explain the Law of Reflection
Answers
Answer:
The angle of incidence is equal to the angle of reflection.
Explanation:
angle of incidence (i) = angle of reflection (r)
So if the angle of incidence was 45°, the angle of reflection would also be 45°.
Preview this picture of a roller coaster. Does it make you feel safe? How does the picture reinforce the idea of roller coasters being safe as stated in the article?
Answers
Answer: The coaster tracks serve to channel this force — they control the way the coaster cars fall. ... If the tracks slope down, gravity pulls the front of the car toward the ground, so it accelerates. If the tracks tilt-up, gravity applies a downward force on the back of the coaster, so it decelerates.
Explanation: They may be safe though!
the
estimated age of the solar sysytem is 4558 million years, with N =
4.558, what is the value of the exponent, n?
Answers
The estimated age of the solar system is 4558 million years,
with N = 4.558.
The exponent n is a number that represents the power to which the base number is raised.
The exponential function is represented as xn, where x is the base and n is the exponent.
The question seeks to determine the value of n given N and the estimated age of the solar system.
The formula for calculating the value of n is:
N = 10n
Taking the logarithm of both sides, we get:
log(N) = log(10n)
Using the rule of logarithm, log(a^b) = b log(a), we can rewrite the equation as:
log(N) = n log(10)
Since log(10) = 1, we have:
n = log(N)
Substituting N with the estimated age of the solar system, we get:
n = log(4.558)
Using a calculator, we find that log(4.558) is approximately 0.6609.
the value of the exponent, n, is approximately 0.6609.
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What type of energy is due to motion potential energy or kinetic energy
Answers
Answer:
Kinetic Energy
Explanation:
Potential Energy is where something is building up energy to move.
Answer:
Kinetic Energy
Explanation:
the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz
Answers
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
Definition of wavelength, frecuency and propagation speedFirst of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.
Wavelength for radio wavesIn this case, you know:
v= 3×10⁸ m/sf= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)λ= ?Replacing in the definition of propagation speed:
3×10⁸ m/s = 100,000,000 Hz× λ
Solving:
λ= 3×10⁸ m/s ÷ 100,000,000 Hz
λ= 3 m
In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
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2. A ball with a mass of 5. 0 g is moving at a speed of 2. 0 m/s. Would doubling the mass or doubling the speed have a greater effect on the kinetic energy of the ball? Explain.
Answers
Answer:
yes
Explanation:
Answer:Doubling the mass or doubling the speed will have a greater effect on the kinetic energy of the ball. Because doubling the mass would have a greater effect on the kinetic energy of the ball because you are dividing the mass by velocity.
Explanation:
Which labels are correct for the regions marked? a. X: Slower in gases than liquids Y: Faster in solids than gases Z: Velocity depends on medium b. X: Faster in gases than liquids Y: Slowest in solids Z: Faster in liquids than gases c. X: Slower in solids than liquids Y: Velocity depends on medium Z: Faster in liquids than gases d. X: Velocity depends on medium Y: Fastest in gases Z: Slower in liquids than solids
Answers
Answer:
a. X: Slower in gases than liquids Y: Faster in solids than gases Z: Velocity depends on medium.
Explanation:
Speed of sound is fastest in solids. Sound waves travel more quickly in solid, than of liquid and gases. Sound waves travel most slowest in gases. Speed of sound varies significantly and it depends upon medium it is travelling through. In more rigid medium sounds velocity will be faster.
Several forms of evidence support the Big Bang theory. Which of these does not provide direct evidence for the theory?
A.
existence of black holes
B.
expansion of the universe
C.
detection of cosmic microwave background.
abundance of light elements in the universe
Answers
The existence of black holes does not provide direct evidence for the Big Bang theory. The other options all have a direct connection to the Big Bang theory.
What is the cosmic microwave background, and how does it support the Big Bang theory?It is a faint, uniform glow of microwave radiation that fills the entire universe. The CMB was first detected in 1964, and its discovery is considered one of the most important pieces of evidence in support of the Big Bang theory.
The CMB is thought to be the residual heat left over from the Big Bang itself.
What is the significance of the abundance of light elements in the universe in supporting the Big Bang theory?The abundance of light elements, such as hydrogen and helium, in the universe is another important piece of evidence in support of the Big Bang theory.
According to the theory, the universe began as a hot, dense, and uniform state, and as it expanded and cooled, protons and neutrons began to combine to form the nuclei of atoms.
.
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Suppose line L goes lhrough the point (1,2) and has a slope of -3. Find parametric equations for the line that goes through the same point; but is perpendicular to L, xlt) - [+1,Mt) = .3t+2 x(u) - t+1, Ylt) - (1/3)t+2 xlt) = -(1/3)t+1,YU - (+2 x(t) = -(1/3)t-1.Ylt) = t-2 x(t) = t-1,Ylt) = (1/3)t -2
Answers
The equation of the line that is perpendicular to L and passes through the point (1,2) is y = (1/3)x + 5/3.
The equation of the perpendicular line can be written as y = (1/3)x + b, where b is the y-intercept.
we can use the fact that the line passes through the point (1,2). Substituting these values into the equation, we get:
2 = (1/3)(1) + b
b = 5/3
The term "y-intercept" typically refers to the point at which a graph or plot of two variables intersects the y-axis, which represents the vertical axis. The y-intercept is the value of the dependent variable (usually denoted as "y") when the independent variable (usually denoted as "x") is equal to zero.
For example, consider the graph of a straight line with the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept b represents the value of y when x is equal to zero. In physics, this can be used to interpret the physical meaning of the equation. For instance, in the context of a position-time graph, the y-intercept represents the initial position of an object, since it is the position when time is equal to zero.
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A researcher warts to test the hypothesis that the awerage number of mles that a 2010 Honda Clvic can drive after its gas meter reads as empty is greater than 30 . She collects data from a sample of 50 cars and finds a sarmole mean of 37 . She assumes the standart deviation is 8 based on the literature about car manufacturing- What is the test statistic (Z-score)? 1.99 2.86 b.19 4.55
Answers
The test statistic (Z-score) is approximately 4.95.
To calculate the test statistic (Z-score) for this hypothesis test, we can use the formula:
Z = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))
Sample mean (X-bar) = 37
Hypothesized population mean (μ) = 30
Standard deviation (σ) = 8
Sample size (n) = 50
Substituting these values into the formula, we get:
Z = (37 - 30) / (8 / sqrt(50))
Z = 7 / (8 / 7.071)
Z = 7 / 1.414
Z = 4.95 (rounded to two decimal places)
A statistical hypothesis test is a technique for determining if the available data are sufficient to support a certain hypothesis. We can make probabilistic claims regarding population parameters using hypothesis testing.
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A substance has a freezing point of -36 degree C and a boiling point of 356 degree C. At what temperature would this substance be in its liquid state?
2 points
A.375 degree C
B.-100 degree C
C.80 degree C
D.-50 degree C
Answers
Answer:
C
Explanation:
pgghikjbvxxasdgjkllpouyrwqscbnnkudyi
What is radiation produces a wave full energy.
Answers
Answer:
electromagnetic radiation hopefully
derive an expression from the energy stored E, in a stretched wire of original length L cross sectional area A, e, tension e,and young modulus Y of the material of the wire
Answers
The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A
How to explain the expressionThe work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).
The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:
T = Y * (ΔL / L)
where Y is the Young's modulus of the material of the wire.
Now, let's calculate the work done to stretch the wire:
dW = T * dL
Integrating this expression from L to L + ΔL:
W = ∫ T * dL = ∫ Y * (ΔL / L) * dL
W = Y * ΔL * ∫ (dL / L)
W = Y * ΔL * ln(L) + C
Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.
Finally, the expression for the energy stored in the wire (E) is:
E = W = Y * ΔL * ln(L)
or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:
E = Y * e * ln(L) * A
Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:
E = Y * e * ln(L) * A
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A soccer player kicks a ball with a force of 900 newtons. The ball has a mass of 0.5 kilograms. At what rate will the ball accelerate?
I WILL MARK BRAINLIEST FOR THE CORRECT ANSWER
Answers
Answer:
1800
Explanation:
force = mass times acceleration
Starting at the origin of coordinates, the following displacements are made in the xy-plane. 60mm in the +y
direction, 30mm in the -x direction, 40mm at 150 degrees, and 50mm at 240 degrees. Find the resultant vector
both graphically and algebraically.
Answers
The vectors addition allows finding that the answer for the addition of a series of vectors by vector and analytical methods is
R = 96.86 mm θ = 157.26º
Vectors are magnitudes that have modulus and direction, so the addition must be done with vector algebra.
There are graphical and analytical methods to perform the vectors addition
A graphic method of adding vectors is to start a vector and place each of the other vectors at the tip of the previous one and the resulting vector is drawn by drawing a result vector from the origin of the first vector to the tip of the last, in the attachment we can see a diagram of this method.
The analytical method consists of decomposing each vector into a coordinate system, summing each component and then constructing the resulting vector.
We decompose the vectors in the coordinate system that we see as the adjoint.
Vector A
\(A_y\) = 60 j ^ mm
Aₓ = 0
Vector B
Bₓ = -30 i ^ mm
\(B_y\) = 0
Vector C
Module C = 40 mm
Angle θ = 150º
let's use trigonometry
cos 150 = \(\frac{C_x}{C}\)
sin 150 = \(\frac{C_y}{C}\)
Cₓ = C cos 150
\(C_y\) = C sin 150
Cₓ = 40 cos 150 = -34.64 mm
\(C_y\) = 40 without 150 = 20 mm
Vector D
Module D = 50 mm
Angle θ = 240º
cos 240 = \(\frac{D_x}{D}\)
sin 240 = \(\frac{D_y}{D}\)
Dₓ = D cos 240
\(D_y\) = D sin 240
Dₓ = 50 cos 240 = -25 mm
\(D_y\) = 50 without 240 = -43.30 mm
We perform the sum of each component
x-axis
Rₓ = Aₓ + Bₓ + Cₓ + Dₓ
Rₓ = 0 -30 -34.64 -25
Rₓ = -89.64 mm
y-axis
\(R_y = A_y + B_y + C_y + D_y\)
\(R_y\) = 60 + 0 + 20 -43.30
\(R_y\) = 36.7 mm
We construct the resulting vector
For the module we use the Pythagoras' theorem
R = \(\sqrt{R_x^2 +R_y^2}\)
R = \(\sqrt{89.64^2 + 36.7^2}\)
R = 96.86 mm
For the angle we use trigonometry
tab θ’= \(\frac{R_y}{R_x}\)
θ'= tan⁻¹ \(\frac{R_y}{R_x}\)
θ’= tan⁻¹ \(\frac{36.7}{89.64}\)
θ ’= 22.26º
Since the x component is negative, the angle is in the second quadrant
To measure from the positive side of the x axis
θ = 180 - θ '
θ = 180 -22.26
θ = 157.26º
In conclusion using the vectors addition we can find that the answer for the sum of a series of vectors by vector and analytical methods is
R = 96.86 mm
θ = 157.26º
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Can sugar molecules produced from photosynthesis be rearranged into different compounds carry out life process
Answers
Answer:
Yes, the sugar molecules produced from photosynthesis can be rearranged into different compounds to carry out life processes such energy producing compounds, energy storage compounds, body building compounds, and compounds of other types of food
Explanation:
a) The sugar can be broken down in a plant cell to produce ATP and then energy through cellular respiration as follows;
C₆H₁₂O₆ + O₂ 6CO₂ + 6H₂O + ATP
The produced energy can be used as power for cellular activities, such as the synthesis of protein and cell division
b) The produced sugar can be linked together by enzymes to form starch which is a form of chemical storage of energy as follows;
Sugar C₆H₁₂O₆ transformed into starch (C₆H₁₀O₅)ₙ
c) The sugar can be used in building the plant body by forming cellulose which is a form of starch
d) The sugar can be transformed into proteins and fat which are other types of food such as compounds containing sugar produces compounds containing fat based compounds
An object may have potential energy because of its A. Acceleration B. Location c Momentum D Force E. Speed
Answers
An object may have potential energy because of its B. Location. potential energy is the energy that an object possesses by virtue of its position or state, and it is related to the force of gravity and the height of the object above the ground or a reference point.
The higher an object is located, the more potential energy it has due to the gravitational force acting on it.For example, a book placed on a shelf has potential energy due to its height above the ground. if the book falls from the shelf, its potential energy is converted into kinetic energy as it moves toward the ground.
Similarly, a roller coaster at the top of a hill has potential energy due to its height above the ground, and this potential energy is converted into kinetic energy as the coaster descends the hill.
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