The insights to be used in creating a primary message is that; Electric vehicle demand is skyrocketing. Option C
What are electric vehicles?We can see that the demand for electric vehicles has increased in the recent times. Why has the demand for electric vehicles increased? We know that in the recent times there has been a push for the use of cleaner energy.
This has made a strong impressions upon governments around the would and has led to an increase in the rate at which any kind of research that tries to fund the use of devices that use alternative energy to fossil fuels is concerned.
As a result of this, there has been an increase in the demand and the use of the electric vehicles especially in the developed countries where more people can be able to afford the vehicles.
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If you know the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other, can you determine the particles instantenious velocity? its average velocity? explain.
We need the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other to find the instantaneous velocity but not the average velocity.
What is the velocity?We need to take a moment to be able to explain to ourselves again the meaning of the term velocity. Let us recall that the term velocity would have to do with the change in the position of an object with time.
We know that the velocity is a vector quantity and as such we must have to look at the direction in which the distance that has been covered has passed through and this is something that we must keep in mind as we work through this question.
Now, we know that the velocity is the change in position as such we need the two positions of the object and the approximate time taken to make the change.
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Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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True or False: A rough rock will absorb more radiant energy than a smooth rock
PLEASEEEEEEE HELPPPPPPPPP
Follow these directions:
Let your partner hold a ruler or meter stick in his/her hand vertically between the thumb and index finger, making sure he/she holds the meter stick so that the zero mark is between his/her fingers with the 1 cm mark above it. Your friend should hold the meter stick toward the top end, while your fingers are open at the bottom end of the ruler, ready to catch it between your index finger and your thumb . You should not be touching the meter stick or ruler.
Have your partner release the meter stick or ruler. As soon as you see the ruler released, snap your fingers shut and catch it.
Record in a data table the centimeter mark that was closest to your fingers.
Repeat this procedure several times, and average your results.
Change centimeters to meters.
Then calculate your reaction time by using the formula above and 9.8 m/s2 for g.
Compare your reaction time with that of your partner. Write out your comparison and possible reasons for differences.
We can see here that carrying out the experiment and comparing your reaction time with that of your partner, we see that if one person has a faster reaction time, possible reasons could be faster reflexes or better anticipation of when the ruler will be released.
What is reaction time?Reaction time is the interval of time that elapses between the presentation of a stimulus and the initiation of a response. It is the time it takes for an individual to process and react to a stimulus, such as a sound, sight, or touch.
Carrying the experiment, we assume that the data table is gotten thus:
Trial Centimeter Mark
1 20
2 17
3 21
4 19
5 18
To change centimeters to meters, divide the average centimeter mark by 100. So, the average centimeter mark is
(20+17+21+19+18)/5 = 19 cm,
which is equal to 0.19 meters.
To calculate reaction time, we can use the formula:
t = √(2d/g)
where t is the reaction time, d is the distance traveled by the ruler, and g is the acceleration due to gravity (9.8 m/s^2).
Assuming the distance traveled by the ruler is equal to the distance between the top of the ruler and the point where it was caught by the fingers, we can calculate the reaction time as follows:
t = √(2 x 0.19 / 9.8) = 0.197 seconds ≈ 0.2 seconds.
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Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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A 8.37*10^-5 F capacitor has 2.15*10^-4 C of charge on its plates. How much energy is stored on the capacitor
Answer:
2.76*10^-4
Explanation:
Trust me :)
If a battery of 9 volts is connected across a resistor of 1000 ohm, what will be the value of current flowing through it?
A battery of 9 volts is connected to a resistor of 1000 ohms, then the value of current flowing through it will be 0.009 A.
What is current?Any flow of electrical charge carriers, such as ions, holes, or subatomic charged particles, is referred to as electrical current.
When electrons serve as the charge transfer in a wire, the amount of charge moving through any point of wire in a given amount of time is measured as electric current. Electric charges' motion is intermittently reversed in the alternating current, but not in direct current.
In many situations, the direction of movement in electric circuits is assumed to be the direction of positive charge flow, which is the way opposite of the real particle drift. When properly specified, the current is known as conventional current.
From the question,
V = ir
i = v/r
i = 9/1000
i = 0.009 A
Therefore, the value of the current flowing through it is 0.009 A.
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Which vector is the sum of vectors a and ?
b
а
O
A.
B.
C.
Answer:
i would say D.
Explanation:
The sum of the given vector is option B as it is showing proper magnitude and direction.
What is a vector?A Euclidean vector, also known as a geometric vector or spatial vector, is a geometric entity with magnitude (or length) as well as direction in arithmetic, physics, and engineering.
Vector algebra allows vectors to be added to other vectors.
Physical concentrations can be represented using vectors. Vectors are most frequently used in physics to represent displacement, velocity, and acceleration.
Vectors are arrows that represent an amalgamation of magnitude and direction.
The operation of combining two or more vectors into a vector sum is known as vector addition.
The rule for vector addition of two or more vectors is given by the so-called parallelogram law.
Thus, the correct option is B as it is having magnitude and direction.
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Someone please help me
The force F acting on a body varies with the displacement s from a point O as shown in the graph.
(a) Calculate the work done when the body is displaced
(i) from s=0 to s = 0.4 m
(ii) from s=0 to s =0.8 m
(b) If the mass of the body is 0.20 kg and its initial velocity is 2.00 m/s, find its velocity
(i) when s = 0.4 m
(ii) when s = 0.8 m
a.i) The work done when the body is displaced from s=0 to s = 0.4 m is 0.8 J.
(a.ii) The work done when the body is displaced from s=0 to s = 0.8 m is 1.2 J.
(b.i) The final velocity of the body when the displacement is 0.4 m is 3.46 m/s.
(b.ii) The final velocity of the body when the displacement is 0.8 m is 4 m/s.
What is work done?The work done on an object is the product of force and displacement of the object.
The work done between 0 to 0.4 m is determined from the area of the triangle formed.
W = ¹/₂(0.4 m - 0 m) x ( 4 N )
W = ¹/₂(0.4 m) x ( 4 N )
W = 0.8 J
The work done from s=0 to s =0.8 m,
W = ( Area of 0 to 0.4 m) + ( Area of 0.4 m to 0.8 m)
W = 0.8 J + ¹/₂(0.8 m - 0.4 m) x ( 2 N )
W = 0.8J + ¹/₂(0.4 m) x ( 2 N )
W = 0.8J + 0.4 J
W = 1.2 J
The final velocity of the body is calculated by applying work energy principle.
change in kinetic energy of the body = work done by the body
¹/₂m(v₂² - v₁²) = W
Where;
m is the mass of the bodyv₁ is the initial velocityv₂ is the final velocitywhen, s = 0.4 m, the final velocity is calculated as;
¹/₂m(v₂² - v₁²) = 0.8 J
¹/₂(0.2)(v₂² - 2²) = 0.8
0.1(v₂² - 2²) = 0.8
v₂² - 2² = 0.8 / 0.1
v₂² - 2² = 8
v₂² = 8 + 4
v₂² = 12
v₂ = √12
v₂ = 3.46 m/s
when s = 0.8 m, the final velocity is calculated as;
¹/₂(0.2)(v₂² - 2²) = 1.2 J
0.1(v₂² - 2²) = 1.2
v₂² - 2² = 1.2 / 0.1
v₂² - 2² = 12
v₂² = 12 + 4
v₂² = 16
v₂ = √16
v₂ = 4 m/s
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8. In which of the following situations is the kinetic energy of the object decreasing?
A. A sphere is dropped from a building.
B. A satellite moving is a circular motion around the earth.
C. A baseball is heading upward after being thrown at an angle.
D. An elevator is moving upward at a constant velocity
The answer is option C. A baseball is heading upward after being thrown at an angle.
What is kinetic energy?Kinetic energy is a type of energy associated with motion. It is defined as the energy an object possesses due to its motion, and is dependent on both the object's mass and its velocity. The formula for kinetic energy is KE = 1/2 mv^2, where m is the mass of the object and v is its velocity.
Kinetic energy can be transferred between objects, and is often involved in collisions and other interactions. For example, when a moving object collides with another object, some of its kinetic energy may be transferred to the second object. Kinetic energy is an important concept in physics and is used in many real-world applications, such as in the design of vehicles, machines, and athletic equipment.
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Why do you think that the inside and outside of electric wire are make from different material?
Answer:
Explanation:
i think that the inside and outside of electric wire are make from different material because outdoor electrical wires are always exposed to the fluctuations of temperature and moisture, they are made with more durable insulation. If an indoor electrical wire is used outdoors, it is possible for sunlight to break down the protective layers. Electrical conductors are made up of metals such as, copper, aluminum, etc. These metals are used to make wires. Most wires are made out of copper because it conducts electricity with high flexibility and very little resistance. The first stage in the manufacturing process of a conductor is the wire-drawing
US President Biden will sign an agreement to end the national emergency of COVID-19 in advance, which is strongly opposed by the White House spokesman
US President Biden signed an agreement to end the national emergency of COVID-19 in advance, but it was strongly opposed by the White House spokesman.
What is COVID-19?The new coronavirus SARS-CoV-2 is the cause of the extremely contagious disease COVID-19. The virus was discovered for the first time in Wuhan, China, in December 2019, and it spread fast over the world, causing a pandemic. When an infected person coughs, sneezes, or talks, respiratory droplets from their mouth or nose are the main means of disease transmission.
On April 10, 2023, President Biden approved legislation written by Republicans that put an end to the COVID-19 pandemic's state of emergency. Notwithstanding the fact that the White House intended to stop making emergency declarations on May 11, the GOP's proposed legislation received some bipartisan support in Congress. The measure, according to the White House, "would generate widespread turmoil and uncertainty throughout the health care system – for states, for hospitals and doctor's offices, and, most crucially, for tens of millions of Americans," A White House representative, however, downplayed the significance of the law, stating that the end of the emergency "does not affect our ability to wind down authorities in an orderly manner."
A White House representative later minimized the bill's effects, saying they would not have an impact on the scheduled wind-down of authority on May 11.
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i need answers
100 points help me nowwww
Answer:
it is c trust me im smart
Approximately 20.0gm of milk at 6.0oC is added into a cup containing 270.0 gm of weak tea. The specific heat of weak tea is 3.91 x 103J kg-1 oC-1 and the final temperature of the milk - tea mixture is 85.0oC. Given the initial temperature of the weak tea is 90.0oC, what is the specific heat of milk?
Answer:
4161 J/kg·°C
Explanation:
We can use the principle of conservation of energy to solve this problem, which states that the total heat energy in a closed system is constant. The heat lost by the tea is equal to the heat gained by the milk.
Let's first calculate the heat lost by the tea:
Q(tea) = mcΔT
Q(tea) = (0.27 kg)(3910 J/kg·°C)(90.0°C - 85.0°C)
Q(tea) = 6555 J
where m is the mass of tea, c is the specific heat of tea, and ΔT is the change in temperature.
Next, let's calculate the heat gained by the milk:
Q(milk) = mcΔT
Q(milk) = (0.02 kg)(c)(85.0°C - 6.0°C)
Now we can equate the two expressions:
Q(tea) = Q(milk)
6555 J = (0.02 kg)(c)(79.0°C)
Solving for c, we get:
c = 4161 J/kg·°C
Therefore, the specific heat of milk is approximately 4161 J/kg·°C.
Which of these is an example of tertiary prevention?
A. Getting screened for skin cancer
B. Avoiding smoking and drinking alcohol
C. Dialysis for damaged kidneys
D. Washing hands
Explanation:
because a tertiary prevention is when the person is already infected with the disease
Which statement can be made about the amplitude of any transverse wave?
It is the length from the midpoint to the crest.
It is half the length from the midpoint to the trough.
It is the length of the wavelength.
It is half the length of the wavelength.
Answer:
A) It is the length from the midpoint to the crest.
Explanation:
The correct statement about the amplitude of any transverse wave is: It is the length from the midpoint to the crest. The correct option is A.
What is a transverse wave?A transverse wave is a type of wave in which the displacement of the medium is perpendicular to the direction of wave propagation.
Examples of transverse waves include light waves and water waves in which the surface of the water oscillates up and down while the wave moves horizontally.
The properties of a transverse wave include:
Amplitude: The maximum displacement of the medium from its rest position. This represents the intensity or strength of the wave.
Wavelength: The distance between two adjacent points in the wave that are in phase with each other, for example, between two consecutive crests or troughs. It is typically represented by the symbol λ.
Frequency: The number of complete wave cycles that pass a point in a given amount of time, usually measured in hertz (Hz). The frequency is inversely proportional to the wavelength and is represented by the symbol f.
Period: The time taken for one complete wave cycle to pass a given point, usually represented by the symbol T. The period is directly proportional to the wavelength and inversely proportional to the frequency.
Speed: The speed at which the wave propagates through the medium, usually represented by the symbol v. The speed is directly proportional to the frequency and wavelength.
These properties are related to each other by the wave equation:
v = fλ,
Where v = the speed of the wave,
f = the frequency,
and λ = the wavelength.
Therefore, The correct statement about the amplitude of any transverse wave is A. It is the length from the midpoint to the crest.
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The potential energy of a flying bird is 30.7 J. The kinetic energy of the bird is 128.4 J. What is the bird's Mechanical Energy?
Answer:
we know formula for mechanical energy , E( Mechanical) = U + K , where U is the potential energy and K is the kinetic energy!
So E = 30.7 J + 128.4 J = 159.1 J
Answer:
159.1 J
Explanation:
A silver block of silver block of density 10.5 g/cm3 has a volume of 30 cm3. Which of the following is the correct mass of the block
➝ Density of block = 10.5 g/cm³
➝ Volume of block = 30 cm³
We have to find mass of block\(.\)
➠ Density is defined as mass of substance per unit volume\(.\)
\(\dag\:\boxed{\bf{Density=\dfrac{Mass}{Volume}}}\)
\(:\implies\sf\:Mass=Density\times Volume\)
\(:\implies\sf\:Mass=10.5\times 30\)
\(:\implies\boxed{\boxed{\bf{\red{Mass=315\:g}}}}\)
How to determine whether a compound is ionic or covalent
What is the primary reason that astronomers suspect that some jovian moons were captured into their current orbits
Answer:
The summary including its circumstances in question is outlined in the illustrating segment below.
Explanation:
An astronomer seems to be an astronomical specialist who performs his information about the research problem or area elsewhere in Earth's view.A few other moons include "backward" orbits (particularly in comparison to the movement or rotation of another planet), or are favorably committed to the equator of their continent.Name two examples of conservative forces
Oil-water separation is a very important process in petroleum engineering, as well as in industries that produces oily wastewater and other oil-water pollution. The basic process of oil-water separation is illustrated in the figures below. From left to right, the figures show a simple emulsion in which dispersed (Dutch: verspreidt) oil droplets in water coalesce (come together to form one mass) as time passes. Assume that the number of oil droplets decreases with time (in minutes) following the equation: ൌ െ0.02 a) Calculate how long it takes for half of the oil droplets to coalesce. (3p) b) How long will it take for practically all the oil droplets to coalesce? (2p) c) Provide a sketch of the number of oil droplets as function of time in the oily water. Add relevant values along the axis. (1p) To speed up the process of coalescence, a chemical component (surfactant) is added to the oily water. Assume that now the number of oil droplets decreases with time following the equation: ൌ െ0.02ଶ d) After adding the surfactant to the mixture, can the process still be considered a natural process? Explain. (1p) e) Show that, after adding the surfactant to the oil-water mixture, less time is needed for half of the oil droplets to coalesce. (
The time required for half of the oil droplets to coalesce is 34.65 minutes.b) Calculation to find how long it takes for practically all of the oil droplets to coalesce:To find the time it would take for practically all of the oil droplets to coalesce, we need to use the following formula and solve for time when n is equal to 0.0 = e^(-0.02t)-infinity = -0.02tNo oil droplets remain after an infinite amount of time. Therefore, it takes an infinite amount of time for all the oil droplets to coalesce.Answer: It takes an infinite amount of time for all the oil droplets to coalesce.
Sketch:We need to sketch the number of oil droplets as a function of time in the oily water. The axis should contain relevant values. As the oil droplets coalesce, the number of oil droplets decreases with time. This is shown by the line in the graph below.Answer: The figure is attached below. The x-axis shows the time in minutes, and the y-axis shows the number of oil droplets present. After adding the surfactant to the mixture, can the process still be considered a natural process? Explain. When a chemical component such as a surfactant is added to the oily water, the oil droplets are artificially made to coalesce. As a result, the process is no longer a natural one because it has been modified by human intervention. Answer: No, the process can no longer be considered natural, because a surfactant was added to the oily water to speed up the coalescence of the oil droplets. Show that less time is needed for half of the oil droplets to coalesce after adding the surfactant to the oil-water mixture. In order to find how long it takes for half of the oil droplets to coalesce after adding the surfactant, we will utilize the new equation that incorporates the surfactant.0.5 = e^(-0.02x)ln(0.5) = -0.02x17.32 minutes = xAnswer: After the addition of the surfactant, it only takes 17.32 minutes for half of the oil droplets to coalesce. This is less time than the original 34.65 minutes that it took before the surfactant was added.For such more question on coalesce
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Define 1ohm resistance
Answer:
1 ohm is equal to one volt (V)/ one ampere (1A) 1 Ohm is defined as the resistance of a conductor with a potential difference of 1 volt applied to the ends through which 1-ampere current flows. Ohms is the SI unit of electrical resistance.
Explanation:
I hope it's help u
4. Answer the following questions in terms of a wave's frequency, wavelength, amplitude, and
energy.
a. Describe the characteristics of a high pitch wave.
b. Describe the characteristics of a high-volume wave.
a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.
The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.
The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.
b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.
The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.
In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.
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Chadwick now needs to push the piano up a ramp and into a moving van. (Figure 2) The ramp is frictionless. Is Chadwick strong enough to push the piano up the ramp alone or must he get help? To solve this problem you should start by drawing a free-body diagram.
Determine the object of interest for this situation.
The object of interest for this situation is the piano. The forces acting on the piano are: (1) gravitational force acting on the piano (piano's weight). (2) force of the floor on the piano (normal force). (3) force of Chadwick on the piano
In this situation, the object of interest is the piano. The forces acting on the piano are the gravitational force (weight) pulling the piano down, the normal force of the floor pushing up on the piano, and the force of Chadwick pushing on the piano to move it up the ramp. Since the ramp is frictionless, the only force acting to stop the piano from sliding back down the ramp is the normal force of the floor, which is perpendicular to the ramp surface. Therefore, Chadwick must push the piano with a force greater than its weight to overcome gravity and move it up the ramp.
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Complete question:
Chadwick now needs to push the piano up a ramp and into a moving van. The ramp is frictionless. Is Chadwick strong enough to push the piano up the ramp alone or must he get help? To solve this problem you should start by drawing a free-body diagram.
Determine the object of interest for this situation.
Identify the forces acting on the object of interest. From the list below, select the forces that act on the piano.
(1) gravitational force acting on the piano (piano's weight)
(2) force of the floor on the piano (normal force)
(3) force of Chadwick on the piano
Which state has the most fixed shape
Answer:
Solids have the most fixed shape
Explanation:
Because their atoms are tightly packed.
3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.
Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.
Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.
The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.
In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.
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A car starts its motion from rest and accelerates with an acceleration of 3m/s2 speed reaches to 20.0m/sec. Find time interval during this motion.
Answer:
The time interval is \(t = 6.667 \ s\)
Explanation:
From the question we are told that
The acceleration of the car is \(a = 3 m/s^2\)
The velocity of the car is \(v= 20.0 \ m/s\)
The final velocity of the car can be mathematically represented as
\(v =u + at\)
Now since the car start from rest u = 0 So
\(v = 0 + at\)
\(v = at\)
substituting values
\(20 = 3 t\)
\(t = \frac{20}{3}\)
\(t = 6.667 \ s\)
Which of Newton's laws does this demonstrate?It's easier to carry a 5kg bag of groceriesthan a 50 kg bag ofgroceries.
Newton second law of motion,
F = m x a
F = force
m= mass
a = acceleration
There is a direct relationship between force, mass, and acceleration.
more mass needs more force to move.
The animation shows a ball which has been kicked upward at an angle. Run the animation to watch the motion of the ball. Click initialize to set up the animation and start to run it.
Ghosts are left by the ball once per second. The animation can also be paused and moved forward in single frame mode using the step button. The cursor can be used to read the (x,y) coordinates of a position in the grid by holding down the left mouse button. Assume the grid coordinates read out in meters. When entering components, presume that x is positive to the right and y is positive upwards. Note that this ball is NOT being kicked on Earth. Do not expect an acceleration of 9.80 m/s2 downward, though you can presume that gravity is acting straight down. Use this animation to answer the following questions. Note that there are a number of different ways to go about each of the following questions. Your answer needs to be within 5% of the correct answer for credit. Please enter your answer to 3 significant digits.
What is the maximum height which the ball reaches? 42.24 m
What is the horizontal component of the initial velocity of the ball? 5.57 m/s
What is the vertical component of the initial velocity of the ball? 16.18 m/s
What is the vertical component of the acceleration of the ball? _____????
Answer:
The acceleration of the ball is \(a_y = - 0.3672 \ m/s^2\)
Explanation:
From the question we are told that
The maximum height the ball reachs is \(H_{max} = 42.24 \ m\)
The horizontal component of the initial velocity of the ball is \(v_{ix} = 5.57 \ m/s\)
The vertical component of the initial velocity of the ball is \(v_{iy} = = 16.18 m/s\)
The vertically motion of the ball can be mathematically represented as
\(v_{fy}^2 = v_{iy} ^2 + 2 a_{y} H_{max}\)
Here the final velocity at the maximum height is zero so \(v_{fy} = 0 \ m/s\)
Making the acceleration \(a_y\) the subject we have
\(a_y = \frac{v_{iy} ^2}{2H_{max}}\)
substituting values
\(a_y = - \frac{5.57^2}{2* 42.24}\)
\(a_y = - 0.3672 \ m/s^2\)
The negative sign shows that the direction of the acceleration is in the negative y-axis