Answer:
s=ut+12at2. S=1m???
Explanation:
initial velocity in vertical direction, is 0m/s ... Hence distance along the floor from the table is 2×0.45=0.9m.
write a formula for a two-dimensional vector field which has all vectors parallel to the yy-axis and all vectors on a horizontal line having the same magnitude.
The formula for a two-dimensional vector field :
F = F(x,y) = <u(x,y), v(x,y)> = u i + v j;
What is a 2D vector?A three-dimensional vector field maps (x, y, z) to (u, v, w), while a two-dimensional vector field translates each point (x, y) in R2 to a two-dimensional vector (u, v).An arrow with a starting point and an ending point can graphically depict a vector in two dimensions (R2). The magnitude of the vector is represented by the length of the arrow, and its direction is represented by the direction the arrow is pointing. the opposite, or the negative.Vector fields are frequently used to simulate various physical phenomena, such as the strength and direction of a force as it shifts from one point to another or the speed and direction of a fluid moving through space.Given data :
The formula for a two-dimensional vector field will be:
F = F(x,y) = <u(x,y), v(x,y)> = u i + v j;
Where (i,j) are unit vectors in the coordinate directions
To make all vectors parallel to the x-axis
v(x,y)=0
F(x,y) = <u(x,y),0>
To make all vectors on a horizontal line having the same magnitude.
u(x,y) = u(y)
so
F(x,y) = <u(y),0> = u(y) i
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monochromatic light falls on two very narrow slits 0.043 mm apart. successive fringes on a screen 6.10 m away are 8.8 cm apart near the center of the pattern.
In a double-slit interference experiment, the gap y of most of order m from the middle of the observed interference sample at the display screen is y = mλD/d.
where D = 6.10 m is the space of the display screen from the slits, and d = 0.043 mm = 0.043 × 10⁻³ m is the distance between the two slits.
The fringes at the display are 8.8 m apart from each other means the primary most (m=1) is placed at y=8.8 m apart from the middle of the sample.
Therefore, from the previous components we can locate the wavelength of the light:
λ = yd/mD = (8.8m) (0.043 × 10⁻³m) / (1) (6.10m) = 62.03 × 10⁻⁷m
And from the relationship between frequency and wavelength, c = λf, we are able to find the frequency of the light:
f = c/λ = 3 × 10⁸ m per sec / 62.03 × 10⁻⁷ = 0.048× 10⁻⁷ Hz
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Two wires carrying equal currents lie in the plane of the screen with currents to the right. These horizontal wires are connected to a battery with wires that are vertical and can be ignored in this problem. The length the wires is
I=1.67 m, the distance between the wires is d=1.846×10^−3 m, and the current is i=19.20 A. In this problem, only consider field due to the horizontal parts of the wires, and assume that the field due to these wires is approximately equal to that of an infinite straight wire. What is the magnitude of the force on the top wire? Give your answer in Newtons to three significant figures.
Two wires carrying equal currents lie in the plane of the screen with currents to the right. These horizontal wires are connected to a battery with wires that are vertical and the magnitude of the force on the top wire 20.8017 × 10⁻⁴ T
How is it calculated?Given is ,
μ₀ = 4π × 10 ⁻⁷
d = 1.846 × 10⁻³ m
i = 19.20 A
The magnitude field at distance d due to bottom wire is given by,
B = μ₀ i / 2πd
B = (4π × 10 ⁻⁷× 19.20) / (2 × 3.14 × 1.846 × 10⁻³)
B = (2 × 10 ⁻⁷ × 19.20) / (1.846 × 10⁻³)
B = (38.4 × 10 ⁻⁷) / (1.846 × 10⁻³)
B = 20.80173348 × 10⁻⁴
B = 20.8017 × 10⁻⁴ T
Hence , the magnitude of the force on the top wire is 20.8017 × 10⁻⁴ T
What is the magnitude of force?Force is a vector quantity, so it has magnitude and direction. A force magnitude is a number that expresses the strength of a force.Example: Suppose the force is = 10 N towards the east."East" is the direction and "10" is the strength of the force.Quantities are basically "values" or "magnitudes" of physical quantities so it is always ar scalar quantity.Can learn more about magnitude of force from
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match each type of substituent correctly to its effect on the behavior of a carbonyl group. assume in all cases that the substituent is attached directly to the carbonyl carbon atom.
The correct match is -
EDG- stabilize a carbonyl group, decreasing its reactivity and there will be less hydrate at equilibrium
EWG- destabilize a carbonyl group, increasing its reactivity and there will be more hydrate at equilibrium
Carbonyl group is the functional group with carbon and oxygen atom attached together. EDG refers to electron donating group and EWG refers to electron withdrawing group. Electron donating groups increase the electron density thus stabilizing a carbonyl group. Increase in stability decreases the need to take or donate electrons and hence decreases the reactivity.
Electron withdrawing group decreases the density on carbonyl carbon atom, so it destabilizes the carbon atom further increasing its reactivity. Also, it is associated with less hydrate at equilibrium.
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The complete question is -
Match each type of substituent correctly to its effect on the behavior of a carbonyl group. Assume in all cases that the substituent is directly attached to the carbonyl carbon atom
EDG
WEG
There will be more hydrate at equilibrium
There will be less hydrate at equilibrium
What are the 4 pillars of design thinking?.
Asking others helps you understand; pattern-spotting helps you explore. create a physical prototype; Always iterate when evaluating.
What are the three design pillars, and why is each one significant?They are the audience, the setting, and the message. I refer to them as pillars since they should always be supporting your design. Your design won't be as structurally solid if you remove even one of these pillars. Prior to developing, think about your audience.
What do design principles entail?Design is governed by twelve fundamental principles: contrast, balance, emphasis, proportion, hierarchy, repetition, rhythm, pattern, white space, movement, diversity, and unity. Together, these principles enable designers to produce user-friendly designs that are both aesthetically pleasing and useful.
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Are scientific models always accurate?.
Often they are not accurate because scientists may not have all the data.
A scientific model is a bodily and/or mathematical and/or conceptual representation of a system of ideas, occasions, or procedures. Scientists are seeking to perceive and recognize patterns in our world by drawing on their scientific understanding to offer motives that enable the styles to be anticipated.
Models are beneficial gear in studying science which may be used to enhance reasons, generate discussion, make predictions, provide visual representations of summary standards and generate intellectual models.
Benefits of modeling and simulation :
* Can be more secure and less expensive than the real international.
* Able to test a product or device that works earlier than building it.
* Can use it to discover unexpected troubles.
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Objects A and Care made of different materials, with different "springiness", but they have the same mass and are bot initially at rest. When ball B collides with object A, the ball ends up at rest. When ball B collides with object C, the ball rebounds to the left. Compare the velocities of A and after the collisions. Is greater, equal to, or less than vc? Justify your answer. Before: After: BO- А VO ma = mc BOC pv
The velocity of object A after the collision is greater than the velocity of object C.
Object A and object C are made up of different materials with different springiness. Both objects have the same mass and both are initially at rest. When ball B collides with object A, ball B, and object A moves forward.
This scenario shows up an elastic collision in which after the collision one particle comes to complete rest and another particle attains the velocity of the mass that collided with it.
When the same ball B collides with object C, there will be rebounds to the left, and object C attend some velocity in the forward direction. This scenario shows an inelastic collision.
So here we can conclude that after the collision the velocity of object A is greater than the velocity of object C.
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Are solar cells and photovoltaic cells the same thing?.
Yes, solar cells and photovoltaic cells are the same, in which when light may be reflected, absorbed, or pass right through the cell.
Solar cells are gadgets that use the photovoltaic effect to transform electricity of mild without delay into energy, generating electric costs that may move freely in semiconductors. The system became observed as early as 1839, but the first sun mobile turned into added by using Bell executives in 1954.
Solar cells, additionally known as photovoltaic cells, directly rework energy into strength from the solar. Renewable power is furnished through solar cells, and they are long-lasting, compact, and occasional-maintenance.
Silicon is, by using far, the most commonplace semiconductor material utilized in solar cells, representing approximately 95% of the modules offered nowadays.
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you would like to photograph a circular diffraction pattern whose central maximum has a 1 cm diameter. you have a helium-neon laser (wavelength of 633 nm) and a 0.12 mm diameter pinhole. how far behind the pinhole you need to place the viewing screen?
The pinhole need to be placed 0.776 m for the purpose of viewing the screen.
What is bright center ?Since the light waves will cover the same amount of ground, they will cover an equal number of wavelengths. This implies that there will always be positive interference there, causing a bright spot to always be visible in the center of the wall.
Coherent, incoherent waves, diffraction, polarization, and videos are all included in wave optics.
Given diameter is 1 cm
And the width = 0.12 mm
Having a bright center diameter maximum for a circular aperture of diameter D, width is determined by
w = [tex]\frac{2.44lamda L}{d}[/tex]
L = 0.12 × 633 × [tex]10^-^9[/tex] / 0.12 × 10^-3 × 0.01
thus L = 0.776 m
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the li group had 202,000 shares of common stock outstanding at january 1, 2024. the following activities affected common shares during the year. there are no potential common shares outstanding.
The 2018 Earning per share , the 2019 Earning per share and the amount it will take the 2018 Earning per share be presented in the 2019 comparative financial statements are all shown on the attached picture.
What is Earning Per Share?Earning per share can be described as the earning available after distribution of dividend divided by the number of shares outstanding at the end of the year. This will be reported through net income.
In conclusion, The 2018 EPS - $400,000 / 400,000 = $1.00
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Complete question is :
The Li Group had 202,000 shares of common stock outstanding at January 1, 2018. The following activities affected common shares during the year. There are no potential common shares outstanding
2018
Feb .28 Purchased 6,000 shares of treasury stock.
Oct 31 Sold the treasury shares purchased on February 28
Nov 30 Issued 24,000 new shares.
Dec 31 Net income for 2018 is $400,000
2019
Jan. 15 Declared and issued a 2-for-1 stock split
Dec .31 Net income for 2019 is $400,000.
1. Determine the 2018 EPS
2. Determine the 2019 EPS
3. At what amount will the 2018 EPS be presented in the 2019 comparative financial statements?
Part E Consider the same balloon as in Part D. Based on what you learned in the video and your answer to Part D, if you assume that your balloon began very tiny and has been expanding at a constant rate, what can you conclude about how long your balloon has been expanding? O Your balloon has been expanding for 3 seconds. O Your balloon has been expanding for 5 hours. O Your balloon has been expanding for 1 hour. O You cannot draw a conclusion with the information given.
The thing that you can conclude about how long your balloon has been expanding is option B: Your balloon has been expanding for 5 hours.
What led to the balloon's expansion?Baking soda and vinegar combine to produce carbon dioxide gas when combined. As the gas in the bottle starts to increase, the balloon starts to swell. The balloon will expand to a larger size as more gas is produced.
Note that It is merely the expansion of air that has been trapped in the balloon and container. When heated, air expands, causing it to either spread out and fill a greater space or increase pressure in a closed space.
Hence, Cold air outside the balloon exerts force on the balloon from all sides as the hot air inside the balloon expands in all directions (higher pressure force).
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How did you determine the distance and displacement?.
Just draw a vector from start to end and solve for the length of that line.
Distance is a measure of how much ground an object covers as it moves, and displacement refers to the distance an object is displaced. This article let us understand the difference between distance and displacement. Draw a vector from the start point to the endpoint and solve for the length of that line.
Distance traveled is defined as the actual distance moved by the object, and displacement is the linear path between the start and endpoints. Distance is defined as the magnitude or amount of displacement between two locations. Note that the distance between two points is not the same as the distance traveled between the two points.
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Analyze a steel shaft with an ultimate strength of 84 kpsi and fully corrected endurance limit of 26 kpsi if it undergoes a bending stress with mean and amplitude stresses of 8 and 8, respectively, while also undelzoing a torsional shear with mean and amplitude stresses of -12 and 10, respectively. Assume there are no stress concentrations or axial loads. Neglect yielding and use theGoodman failure criterion if needed. Report either the fatigue factor of safety if it is predicted to have infinite life, or the number of cycles to failure in thousands of cycles (N/103).
The stress range below which there is no crack growth and the material exhibits an infinite life under cyclic stresses is known as the endurance limit.
What is bending stress? The typical stress that an item can bear under external load at any cross-section is known as the bending stress. The ratio of the bending moment to the section modulus is another way to define the bending stress.Sb = Mc/I, where Sb is the bending stress in pounds per square inch, M is the maximum bending moment in pound-inches, I is the moment of inertia of the rail in (inches)4, and c is the distance in inches from the base of the rail to its neutral axis, is used to calculate the bending stress for the rail.The stress range below which there is no crack growth and the material exhibits an infinite life under cyclic stresses is known as the endurance limit.To learn more about endurance limit. refer,
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The figure shows a 26-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.21 ?
Part A In (Figure 1), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part B
a.) The loop current direction is cw.
b.) The loop current direction is ccw.
c.) There is no induced current.
Part C In (Figure 2), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part D
a.) There is no induced current.
b.) The loop current direction is cw.
c.) The loop current direction is ccw.
Part E In (Figure 3), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units.
Part F
a.) Out at top, in at bottom
b.) In at top, out at bottom
c.) There is no induced current
The size and direction of the induced current of a 26-cm-diameter loop are - 126.3 mA and counterclockwise.
A = π r²
A = Area
r = Radius
d = 26 cm = 0.26 m
r = d / 2
r = 0.26 / 2
r = 0.13 m
A = 3.14 * 0.13²
A = 53.066 * 10⁻³ m²
EMF = ( - ΔB / Δt ) A
EMF = Electromotive force
ΔB = Change in magnetic field
Δt = Change in time
ΔB / Δt = 0.5 T / s
EMF = - 0.5 * 53.066 * 10⁻³
EMF = - 26.53 * 10⁻³ V
I = V / R
I = - 26.53 * 10⁻³ / 0.21
I = - 126.3 * 10⁻³ A
I = - 126.3 mA
Therefore, the size and direction of the induced current are - 126.3 mA and counterclockwise.
The given question is incomplete. The complete question is:
The figure shows a 26-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.21 ?
In (Figure 1), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units. Figure 1 is shown in the image attached.
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the bar moves the instance after the switch is closed, assuming the force of gravity is directed into the paper, what is the height the bar goes to?
According to Newton's third law of motion, the height that a bar can be lifted against the pull of gravity is represented by an experienced force that is both equal in strength and directed.
What is gravity?Gravity, which means "weight" in Latin, is a basic interaction in physics that causes all objects with mass and energy to attract one another. The force that pulls items toward the center of a planet or even other entity is called gravity. Each of the planets are kept into the sun's orbit by gravity. Every physical thing in the universe is subject to the gravitational force, which is also known as gravitation. The gravity force tends to draw any two objects and particles with nonzero mass toward one another. With subatomic particles to galaxy clusters, gravity affects things of all sizes.
What force is a gravity?Any objects with mass are attracted to one another by the gravitational force, which is an attractive force whose magnitude is directly related to a masses of a two objects & inversely related to the square of their distance from one another.
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2. As a student holds a glass of iced tea, the temperature of the tea increases and the temperature of
his hand decreases. Will the temperature of his hand continue to change?
A. No, because all the heat will flow from his hand to the tea.
B. Yes, because the ice will cause the temperature of the tea to decrease.
C. No, because heat will continue to flow back and forth between both objects equally.
D. Yes, because heat will not stop flowing until both objects reach the same temperature.
Answer:
D. Yes, because heat will not stop flowing until both objects reach the same temperature.
what is the x component of final momentum of particle 1? express your answer using one significant figure.
Newton's laws state that until a force acts upon an item, it continues to move while in motion. Momentum, which is an object's compound of mass and velocity, is used to measure this "motion" value.
What exactly is momentum in daily life?Simply put, momentum is the quantity of motion. Since an item has momentum if it is moving and already has mass, quantity may be measured in this situation. An item lacks momentum if it is immobile.
What does the word "momentum" mean?Momentum may be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a slow-moving bowling ball might have the same acceleration as a baseball being thrown fast.
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TRUE/FALSE. to minimize cost, a multi-plant firm would never produce at a plant with an increasing marginal cost when another plant with a decreasing marginal cost is available.
A multi-plant company would never produce at a plant with an increasing marginal cost if a plant with a decreasing marginal cost was available in order to reduce costs.
Which of the following is true about marginal cost?When another facility with a lowering marginal cost is available, a multi-plant company would never manufacture at that plant in order to reduce costs.The incremental cost of one unit is known as marginal cost.Marginal cost is the extra expense involved while generating an additional unit of product.Your business should increase production levels to increase efficiency and total profit if marginal revenue exceeds marginal cost.Your company should reduce production levels to prevent a loss of profit if marginal cost exceeds marginal revenue.The marginal cost is at its lowest and the marginal product is at its highest point.
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the electromagnetic spectrum of light can also be arranged int erms of wavelengths which one of the following has the kingest wavekength
The greatest energy, shortest wavelengths, and highest frequency are found in gamma rays. The lowest energy, longest wavelengths, and lowest frequencies of all EM radiation are found in radio waves.
Are people electromagnetic beings?Yes, radiation is produced by people. Most of the electromagnetic radiation that humans emit is infrared radiation, which has a frequency lower above visible light. This result does not just apply to people. Thermal radiation is produced by every item having a temperature greater than zero.
What exactly is electromagnetic energy?Radiant energy that moves in waves at the pace of light is known as electromagnetic energy. Radiant energy, electromagnetic waves, electromagnetic waves, illumination, or even the movement of irradiance are other names for it. Radiation from an electromagnetic field may transfer heat.
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How is dark matter connected to the expansion of the universe?.
The dark matter related to the expansion of the universe Dark matter attracts galaxies.
Dark matter slows the expansion of the universe, while dark energy accelerates it. Dark matter acts like gravity a kind of cosmic glue that holds our universe together. This is because dark matter interacts with gravity but does not reflect, absorb or emit light. Dark energy does not accelerate the universe by outward pressure or antigravity.
As the universe continues to expand the energy density changes thus accelerating the universe. Dark matter played an important role in the formation of galaxies. Researchers use astronomical surveys to create maps of the location of dark matter in the universe based on how light from distant galaxies bends on its way to us.
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(chapter 8) light reflecting from a surface, measured in candela per square meter (cd/m2) or foot lamberts (fl) is known as:
Light reflecting from a surface, measured in candela per square meter (cd/m2) or foot lamberts (fl) is known as Luminance.
Define Luminance?
Measurement of the amount of light that is emitted, transmitted through, or reflected from a surface at a solid angle is referred to as luminance. Additionally, it shows how much light intensity the human eye is capable of perceiving. The brightness of displays is measured in the display business using luminance.Luminance can be measured in a number of different ways. The unit of brightness in the International System of Units (SI) is candela/square meter (cd/m2) or foot lamberts (fl).
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What are NLP engines?.
The NLP Engine is the core component that converts user input into structured inputs that the system can process and interprets at any given time.
A type of "program" called Natural Language Processing is made for computers to read, analyze, understand, and make sense of natural human languages in a useful way. It is used to decipher the meaning and purpose of text strings. In a nutshell, NLP is a method for assisting machines in comprehending human speech. some examples of NPL engines are Smart assistants, Search results, Language translation, etc.
There are two types of NLP Engines: 1) cloud NLP Engines and, 2) In-house NLP Engines.
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A net force of 9,079 N i applied to a car having ma of 1,447 kg. Find the acceleration of the car
Answer:
[tex] \Huge{\boxed{6.27 m/s²}} [/tex]
Explanation:
The acceleration of the car given it's mass and the force acting on it can be found by using the formula
[tex] acceleration = \frac{force}{mass}\\ [/tex]
From the question
force = 9079 N
mass = 1447 kg
We have
[tex] acceleration= \frac{9079}{1447}\\ = 6.27436 [/tex]
We have the final answer as
6.27 m/s²using the illustration in question 15, what would be the ip address of e0 if you were using the first subnet? the network id is 192.168.10.0/28, and you need to use the last available ip address in the range. again, the 0 subnet should not be considered valid for this question.
The IP address of E0 if you were using the first subnet is 192.168.10.142
A /28 is a 255.255.255.240 mask. Let's count to the ninth subnet (we need to find the broadcast address of the eighth subnet, so we need to count to the ninth subnet). Starting at 16 (remember, the question stated that we will not use subnet zero, so we start at 16, not 0), 16, 32, 48, 64, 80, 96, 112, 128, 144.
The eighth subnet is 128 and the next subnet is 144, so our broadcast address of the 128 subnet is 143. This makes the host range 129-142. 142 is the last valid host.
Therefore, the IP address of E0 if you were using the first subnet is 192.168.10.142
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what is the average flow rate in cm3/s of gasoline to the engine of a car traveling at 116 km/h if it averages 10.7 km/l?
The Average flow rate is 2.595cm^3/s.
What is average flow rate?
The fluid flow rate is the volume of fluid per unit time that passes by a point in area A. In the shaded cylinder, the fluid passes point P in a uniform pipe over the course of time t. The cylinder's volume is Ad, its average velocity is v=d/t, and its flow rate is therefore Q=Ad/t=A v.
What is speed?
The rate at which the position of an object changes in any direction The distance traveled in relation to the time required to travel that distance is known as speed. Speed is a scalar quantity because it only has a direction and no magnitude.
The average flow rate is calculated by divide the speed (v) by mileage (z),
Average flow rate= V/Z
Here, V stands for speed and Z stands for mileage.
=100/10.7
=9.345
= 9.345(1000)/1(3600)
=2.595cm^3/s
Therefore, the Average flow rate is 2.595cm^3/s.
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A 45.0 l sample of gas has a pressure of 975 torr at 35.2 c if the volume changes to 3.6 x 10^3 ml and the pressure changes to 2.61 atm what is the new temperature in ∘C?(8 points)
A 45 L sample of gas has a pressure of 975 torr at 35.2°C. The new temperature in °C is -222°C.
Given that, volume V₁ = 45 × 10³ ml
Pressure P₁ = 975 torr
Temperature T₁ = 35.2 °C = 35.2 + 273 = 308.2 K
V₂ = 3.6 × 10³ ml
P₂ = 2.61 atm = 1983.6 torr
T₂ = ?
The formula of combined gas law is P₁ V₁ / T₁ = P₂ V₂/ T₂
975*45 × 10³ / 308.2 = 1983.6*3.6 × 10³/ T₂
T₂ * 975 * 45 / 308.2 = 1983.6 * 3.6
T₂ = 1983.6 * 3.6 * 308.2 / 975 * 45 = 50.16 K - 273 = -222°C
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when an object undergoing simple harmonic motion is farthest from it's equilibrium position which of the following is at its minimum?
When an object undergoing simple harmonic motion is farthest from it's equilibrium position kinetic energy is at its minimum.
What is simple harmonic motion?A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM. This restoring force always moves in the direction of the mean position.
A particle moving in simple harmonic motion accelerates as a(t) = - ω² x (t). Here, ω denotes the particle's angular velocity.
A constant exchange of kinetic and potential energy occurs in simple harmonic motion. Potential energy is at its peak and kinetic energy is zero at the distance from the equilibrium point that can be travelled the farthest. At the equilibrium point, the kinetic energy is at its peak and the potential energy is zero. The oscillating body has different values of kinetic and potential energy at other points in its motion.
Hence, when an object undergoing simple harmonic motion is farthest from it's equilibrium position kinetic energy is at its minimum.
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you are driving along a country road when you suddenly notice a log in the road ahead of you and immediately apply your brakes. you travel a distance of s(t)
a. The car will not hit the tractor.
b. The car would travel a distance of 52.07 m before stopping
c. At the moment when the car stopped, the tractor is 11.5 m in front of the car.
Linear motion
From the question, we are to determine of you will hit the tractor before you stop
First, we will determine the time it will take the car to stop
From the given information,
Initial velocity, u = 27.0 m/s
a = -7 m/s² (Negative sign indicates deceleration)
v = 0 m/s (Since the car will come to stop)
From one of the equations of linear motion,
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time taken
Putting the parameters into the equation, we get
0 = 27 + (-7)t
7t = 27
t = 27/7
t = 3.857 secs
This is the time it will take the car to stop
Now, we will determine the distance the car would travel after applying the brakes
Using the formula
S = (u + v) / t
Where S is the distance traveled
S = [(27 + 0) / 2] * 3.857
S = 13.5 * 3.857
S = 52.0695 m
S ≅ 52.07 m
This means the car would travel 52.07 m after applying the brakes
Now, we will determine the distance the tractor would have traveled when the car came to a stop
Speed of the tractor = 10.0 m/s
Time taken for the car to stop = 3.857 secs
Using the formula,
Distance = Speed × Time
Distance = 10.0 × 3.857
Distance = 38.57 m
Now, we will determine the distance between the car and the tractor when the car finally stopped
Distance between the car and the tractor = Distance ahead + Distance traveled by the tractor after the car stopped - Distance traveled by car after applying the brakes
Distance between the car and the tractor = 25 m + 38.57 m - 52.07 m
Distance between the car and the tractor = 11.5 m
Therefore, the distance the tractor was ahead of the car + the distance the tractor traveled after the car stopped is more than the distance the car traveled after applying the brakes (25 m + 38.57 m > 52.07), the car will not hit the tractor.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: You are driving your car along a country road at a speed of 27.0 m/s. as you come over the crest of a hill, you notice a farm tractor 25.0 m ahead of you on the road, moving in the same direction as you at a speed of 10.0 m/s. you immediately slam on your brakes and slow down with a constant acceleration of magnitude 7.00 m/s2 .
a.will you hit the tractor before you stop?
b.how far will you travel before you stop or collide with the tractor?
c.if you stop, how far is the tractor in front of you when you finally stop?]
after a star like the sun fuses all the hydrogen in its core into helium, select one: a. it will become a red giant. b. it will begin fusing hydrogen
A red behemoth will develop from it. Option a&b are both what will cause it to start fusing hydrogen.
What does "core" actually mean?the heart, soul, or most fundamental component of everything. known as magnetic core as well. Electricity. the centre or inner component of an electromagnet, an induction coil, a transformer, or a device of a same kind, made of an iron piece, a bundle of iron wires, or some other ferrous substance.
What is the essence of who you are?The core convictions you have about yourself are your values. Your attitudes, choices, and deeds are influenced by them. They help people feel more motivated and valuable. They serve as a reminder of your priorities and the things you wish your life contained more of.
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Answer: B happens first, then A is the result
Explanation: it begins fusing hydrogen and becomes a massive red giant star
The 70 kg student in figure p14. 43 balances a 1200 kg elephant on a hydraulic lift. What is the diameter of the piston the student is standing on?.
The piston the student is standing on has a 0.22-times larger diameter than the piston the elephant stands on.
What is mechanical advantage of a hydraulic lift?Pascal's law is shown via the hydraulic system.In doing so, we are able to use a modest force on the small piston to generate a bigger force on the huge piston.At each piston, the ratio between the force and the area must be the same.The three practical tools that make use of Pascal's law are hydraulic presses, hydraulic lifts, and hydraulic brakes.Given parameters:
Mass of the student: m = 70 kg.
Mass of the elephant: M = 1200 kg.
Let the diameters of the piston the student is standing on and the piston the elephant is standing on are respectively d and D.
Using Pascal's law , we can write,
Force applied by the student's weight ÷ area of the piston the student is standing on = Force applied by the elephant's weight ÷ area of the piston the elephant is standing on.
⇒ 70 kg × g / π d² = 1200 kg × g / π D²
⇒ 1400 d² = 70 D²
⇒ d= 0.22D.
Hence, The piston the student is standing on has a diameter that is 0.22 times larger than the piston the elephant is standing on.
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