The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.
Given , Initial speed of the coz ( Vo ) = 40 ft/ sec
Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2
Final speed of the car (Vx ) = 0 Ft / sec
Let the distance travelled by the can be x at
any time t. Let u be the velocity at any time t .
Now , deceleration means rate of decrease of velocity.
So ,
dv/dt = - 16 ft / sec^2
decreasing with
Negative sign means the velocity is decreasing with time .
dv/dt = dv/dx(dx/dt)
dv/dx(dx/dt) = -16
dx/dt = v, so
v dv/dx = -16
vdv = -16 dx
Integrating both sides under the limit 40 to o
0 to x for 'x '. This gives
[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]
Here, a=40
x=800/16
x=50ft.
The car travels a distance of 50ft
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Find the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons.
The acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N/kg.
The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.
Acceleration (a)
Mass (m) = 10 kg
Force (F) = 200 N or Newton
∴ a = F / m
=> a = 200 N / 10 kg
=> a = 20 N / kg
So, the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N / kg.
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in an emergency stop to avoid an accident, a shoulder strap seat belt holds a 60 kg passenger firmly in place. if the car were initially traveling at 90 km/h and came to a stop in 5.5 s along a straight, level road, what was the average force applied to the passenger by the seat belt?
Answer:
272.727N
Explanation:
Force is equal to the product of mass and acceleration. We know the mass of the person (60kg), so we just need to find how much they are decelerating when coming to a stop.
We do this using the motion equation v=u+at, where v is the final velocity, u is initial velocity, a is acceleration, and t is time. Noting 90km/hr=25m/s, we get:
0=25+5.5a
a=-4.5454545m/s^2
Force = mass * acceleration = 60 * 4.545 = 272.727N
a very well insulated air-filled capacitor is charged and stores 30 j of electric energy. after the capacitor is disconnected from the power source, a dielectric sheet is inserted between the plates which fills the entire space between the plates. after this, the energy stored by the capacitor is:
The energy stored by the capacitor decreases by 1/K J.
A capacitor is a device that shops electrical electricity in an electric-powered discipline by virtue of gathering electric prices on close surfaces insulated from each other. it's miles a passive electronic thing with terminals. The impact of a capacitor is known as capacitance.
Calculation:-
Energy stored in an air-filled Capacitor = 30 J
= Q²/2C = U = 30 J
Now, the power source is disconnected and the dielectric is inserted.
Since there is no source to provide a charge, So charge remains constant.
Noe, capacitance is increased to K times of initial capacitance
C' = KC
U' = Q²/2C'
= Q²/2KC
= 1/k (Q²/2C)
= 1/K × 30
= 30/K J
Hence, the energy decreases with the inserting dielectric.
The capacitor is a device for storing electrical power, along with two conductors in near proximity and insulated from every other. A simple instance of this type of storage tool is the parallel-plate capacitor. the main function of capacitors is to save electrostatic electricity in an electric area, and deliver this power to the circuit, when vital. They allow the AC to skip but block the drift of DC to avoid a risky breakdown of the circuit.
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what is a wavelength? a. The distance from the crest to its neighboring trough in a ways. b. The number of ways in a given period of time. c. The distance between two neighboring troughs in a wave. d. The direction of the wave
Wavelength is (c) the distance between two neighboring troughs in a wave.
What is wavelength?Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal travelling through space or over a wire. Si unit of wavelength is meter. In wave motion, velocity of wave = wave length × frequency.
Hence, wavelength is a distance between two neighboring identical points such as troughs of a wave. so, option (c) is current answer.
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Which choice tells the main causes of convection currents in the asthenosphere? question 5 options: density and temperature temperature and pressure density and weight weight and pressure
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in which zone does the sun rotate more or less as a solid body, with all latitudes taking a similar amount of time to circle the sun's axis?
The radiative zone and core of the Sun are thought by scientists to revolve more like solid bodies than liquid ones. From the convective zone outward, the Sun's outer regions rotate at various rates that change with latitude.
What is latitudes?It is calculated using 180 fictitious lines that are drawn in circles east-west of the equator. Parallels are the names for these lines.Because the Sun is made of gaseous plasma, its rotation varies with latitude. At the equator, the rate of rotation is seen to be the quickest, and it slows down as latitude rises.Since it is made of gas and plasma, the rotational velocities of the gasses and plasma vary depending on where they are on the sun. Every 25 days, the gas and plasma close to the equator of the sun rotate around its axis.Polaris will appear lower in the sky as you move further south, and the sun will set at nighttime farther and more quickly.To learn more about latitudes refer to:
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Can a spectrophotometer be used to measure the absorption of a particular wavelength of light that is not visible to the human eye?.
Yes, a spectrophotometer could be used to measure the absorption of a particular wavelength of light that is not visible to a normal human eye.
Although we cannot directly observe the absorption of this light, it is quantifiable. A spectrophotometer, which measures the absorption of light at certain wavelengths (whether visible or not) by a solution, may be used to compute the concentration. The popular and accessible technique of spectrophotometry may be used to determine the concentration of compounds in a solution or the degree of light absorption.
When a light beam is focused through the sample, each component either absorbs or transmits light of a certain wavelength. They are combined with quantifiable and visible colored byproducts. Another is that, as observed by a spectrophotometer, colorless substances generally absorb light from the region of the spectrum that is imperceptible to the human eye.
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a skier traveling 11.0 m/s reaches the foot of a steady upward incline and glides 15 m up along this slope before coming to rest. what was the average coefficient of friction?
The average coefficient of friction of the track on which the skier is travelling is 0.59.
According to work energy theorem, the work done by conservative forces and the non conservative forces on the body is equal to the change in kinetic energy of the body.
So here, we know that the skier is travelling with a speed of 11m/s and he glide a distance of 15 m.
Here, we can write,
Mgd + uMgd = ∆K
Where M is the mass of the body,
g ji is the acceleration due to gravity,
d is the distance travel by the glider,
K is the change in kinetic energy,
U is the coefficient of friction.
Putting values,
Mgd + uMgd = 1/2Mv²
2(gd + ugd) = v²
u = (v²/2-gh)/gd
u = ((11)²/2 -10×15)/10×15
u = 0.59
So, the average coefficient of friction is 0.59.
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the current in an inductor is changing at 120 a/s and the inductor emf is 51 v. what's the self-inductance?
the self-inductance is 0.425V.s/A
emf = L*di/dt
L = emf/ di/dt = 51/120 = 0.425V.s/A
Self-inductance is a characteristic of the current-carrying coil that opposes or resists changes in the current that passes through it. The self-induced emf generated in the coil itself is mostly responsible for this. Self-inductance is a phenomenon that occurs when a voltage is induced in a current-carrying wire, to put it simply.
When the current increases or drops, the coil's self-induced emf will oppose both movements. Essentially, if the current is increasing, the induced emf's direction is opposite that of the applied voltage, and if the current is decreasing, its direction is similar to that of the applied voltage.
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What is the process that causes harmful materials to seep into the ground and move through rock and soil and contaminate ground water?.
the systems shown are in equilibrium. if the spring scales are calibrated in newtons, what do they read?
Newton's first law states that an object at rest will remain at rest, and an object in motion won't change its velocity while the equilibrium condition is met.
When a system is in equilibrium then?When Newton's first law is true, the thing is in its equilibrium condition. When all external forces acting on an object (including moments) are balanced, that object is said to be in equilibrium in the reference coordinate system. This indicates that all external forces and moments acting on this item have a net effect of zero. When an object is at rest or moving with a constant speed in a reference coordinate system, respectively, they are said to be in static equilibrium and dynamic equilibrium.The inertial force produced by the velocity change can be measured by multiplying the mass with the translational acceleration or the mass moment of inertia with the angular acceleration.To Learn more About Newton's first law refer to :
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. an object is placed 53.0 cm in front of a diverging lens. what is the focal length if the distance between object and the image is 30.0 cm?
If there is a distance between the object and the image, the focus length is -0.021cm.
How long is the focal point?A lens's focal length is established when it is focused at infinity. We can determine the magnification—how large individual elements will be—and the angle of view—how much of the scene will be captured—by knowing the focal length of the lens. The narrower the field of view and higher the magnification, the longer the focal length.
Distance from object to picture d= 30 cm.
object distance = 53cm
We must determine the object's distance.
u - v =d
u = 30+53
u = 83cm
We must determine the focus length.
Using the lens
1/f = 1/v -1/u
in the formula, include the value
1/f = 1/-30 -1/83
1/f = -0.021cm
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which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.
The reason for using the power model to describe the relationship between the length and the period of the pendulum is because there is a linear relationship between the scatter plots of log (length) vs. log (period of pendulum), but none can be seen in the residual plot.
In the "Power Models" unit, discover which circumstances may be explained by power models, inverse power models, and quadratic models. Additionally, you'll learn how to use the formulae y = ax₂, y = ax₃, y = a/x₂, y = a/x₃, and y = ax₂ + bx + c to compare patterns in tables and graphs of models. Here, x₂ and x₃ are the length of the pendulums at particular instants.
In the framework of these models, they also begin to understand the idea of rate of change. Here, some skills are acquired, like visually solving quadratic equations and simplifying radical and exponential forms. Additionally, direct and inverse variation concepts and phrases are taught.
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4. A bicycle decelerates due west from 10m/s to rest in 4 seconds and uniformly accelerates due east to reach its original speed in another 4 seconds. A) The acceleration of the bicycle B) I) plot the speed - time li) velocity - time Ii) distance- time iv) displacement - time (v) acceleration - time. From the graph find( c) (I) the distance traveled (ii) the displacement (III) average speed and (iv) average velocity
0 m/s² is the acceleration of the bicycle
decelerates due west = velocity/time
decelerates due west =10/4
decelerates due west = -2.5
accelerates = velocity/time
accelerates = 10/4
accelerates = 2.5
net acceleration = -2.5 +.5
net acceleration= 0 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity. An object is considered to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second. The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, nothing that is moving at a steady speed is accelerating.
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suppose that a microscope has an objective whose focal length is 1.00 mm and an eyepiece whose focal length is 25.0 mm. what is the magnifying power (m)) of the microscope? group of answer choices 25x 0.04x we need more information to calculate mp. 625x 160x
The ratio of the image's distance from the lens to the object's distance determines a lens's magnifying capability. Thus, the microscope's magnification factor m=m1m2.
Explain about magnifying power?Magnifying power is a lens's capacity to enlarge an image by how much. The least distance of distinct vision, or LDDV, and the focal length of the lens are directly correlated. Your eyes can easily focus on an object up to their LDDV.
By dividing the focal length of the scanning object (lens) by the focal length of the eyepiece, the magnifying power is computed. A 1x magnification power results in a 100% increase in the size of the thing being enlarged. A 1-inch object, for instance, would appear to be 2 inches at 1x.
The ratio of the angle the image at the eye occupies to the angle the object occupies is known as the magnifying power of the microscope.
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2. It takes 1,200 J of work to lift a car high enough to change a tire.
How much work must be done by the person operating the jack
if the jack is 25% efficient?
The work done by the person operating the jack is 4,800 J
Efficiency is described as the potential to perform something with the least quantity of wasted time, cash, and attempt or competency in performance. Effectiveness is described because the diploma to which some thing is successful in producing a preferred result; achievement.
calculation:-
work input = (1200 J)/(0.25)
= 4800 J.
There are numerous styles of performance, consisting of allocative and effective performance, technical efficiency, 'X' efficiency, dynamic performance and social efficiency.
The prime focus of performance is for customers to get the goods and offerings they want at the bottom possible resource price. Inside the have a look at of economics, the dreams of efficiency and equity are frequently in warfare with each other.
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a car with a mass of 1,020.0 kg accelerates from 0 to 94.0 km/h in 10.0 s. the driver applies the brakes when the car is moving at 94.0 km/h, and the car comes to rest after traveling 38.0 m. what is the net force (in n) on the car during its deceleration? (assume the car is traveling in the positive direction. indicate the direction with the sign of your answer.)
The net force on the car during its deceleration = 9139.2 N
What is deceleration?Deceleration is actually inversely related to acceleration. We know that acceleration is the rate at which an object is speeding up, and deceleration is the rate at which an object is slowing down. For example, when you brake while driving, deceleration is used to slow the vehicle.
Given, m= 1020 kg
u= 0 m/s
V = 94 km/h or 26.1 m/s
t = 10 s
For deceleration
u = 26.1 m/s
v = 0
S = 38 m
by equation of motion ;
v² = u² + 2as
0 = 26.1² + 38a
a = - 8.96 m/s²
Net force during deceleration:
F= m*a
F= 1020 × 8.96
F = 9139.2 N
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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
When light passes through the first filter then it will also pass through the second filter. All of the light will pass through both filters.
Polarization:
Polarization is a property applied to transverse waves that specify the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave.
When the axes of the first and second filters are aligned (parallel), then all of the polarized light passed by the first filter is also passed by the second. If the second polarizing filter is rotated, only the component of the light parallel to the second filter's axis is passed.
Therefore all the light will pass through both filters.
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I need help with question 1
Answer:
V = 140 km/h
Explanation:
Velocity is the change in position over time.
We can use the equation V = Δx / t
Note that V is the average velocity.
We are given Δx and t. Lets solve for V.
[tex]V=\frac{540}{4}[/tex]
[tex]V=140[/tex]
[tex]\frac{km}{hour}[/tex]
V = 140 km/h
A diver runs horizontally off the end of a 3.0-m-high diving board with an initial speed of 1.8 m/s. Find her y positions at the times t = 0.25 s , t = 0.50 s , and t = 0.75 s .
(a) At time, t = 0.25 s, the y position of the driver is 0.31 m.
(b) At time, t = 0.50 s, the y position of the driver is 1.2 m
(c) At time, t = 0.75 s, the y position of the driver is 2.76 m
What is the position of the driver?The position of the driver at the various time is determined by applying the following kinematic equation.
y = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the drivert is the time of motion of the drivery is the vertical position of the driver at various timet is the time of motionSince the driver runs horizontally, the initial vertical velocity = 0
y = 0 + ¹/₂gt²
y = ¹/₂gt²
at time, t = 0.25 s, the y position of the driver is calculated as;
y = ¹/₂gt²
y = ¹/₂(9.8)(0.25)²
y = 0.31 m
at time, t = 0.5 s, the y position of the driver is calculated as;
y = ¹/₂gt²
y = ¹/₂(9.8)(0.5)²
y = 1.2 m
at time, t = 0.75 s, the y position of the driver is calculated as;
y = ¹/₂gt²
y = ¹/₂(9.8)(0.75)²
y = 2.76 m
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a proton, traveling with a velocity of 4.1 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 8.8 10-14 n and a direction of due south. what are the magnitude and direction of the magnetic field causing the force?
A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force.
Magnetic Force:
A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force. This relates to the cross-product of the magnetic field and velocity.
Answer and Explanation:
(a) The magnetic force is given by
F=qvBsinθ
q=1.60×10−19C , the charge of a proton
v is the velocity
B is the magnetic field
θ is the angle between the velocity and the magnetic field. Since the magnetic force is at maximum, then the velocity and the magnetic field is perpendicular.
Solving for the magnetic field:
B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T
By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.
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A particle travelling at a specific speed through a magnetic field experiences a force understood as the magnetic force.
What is Magnetic Force?The magnetic force is a force that is felt by a particle moving in a magnetic field at a particular speed. This has to do with the magnetic field and velocity's cross-product.
(a) The magnetic force is given by
F=qvBsinθ
q=1.60×10−19C , the charge of a proton
v is the velocity
B is the magnetic field
The angle between the magnetic field and the velocity is called. The magnetic field and velocity are perpendicular because the magnetic force is at its greatest.
B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T
By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.
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which of the glass lenses above, when placed in air, will cause rays of light (parallel to the central axis) to converge?
Convex lenses when placed in the air, will cause rays of light (parallel to the central axis) to converge.
Converging lenses, commonly referred to as convex lenses, have thicker centers and narrower upper and lower margins. The edges are outwardly curled. This lens has the ability to concentrate a beam of parallel light rays coming from the outside onto a spot on the opposite side of the lens.
The image created is referred to be a genuine image when it is inverted relative to the object. On a screen, this kind of image can be recorded. When the object is positioned at a point farther than one focal length from the lens, a converging lens creates a true image.
A virtual image is one that cannot be produced on a screen and is formed when the image is upright in relation to the object. When an item is positioned within one focal length of a converging lens, a virtual image is created. It creates an enlarged image of the object on the same side of the lens as the image. It serves as a magnifier.
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luisa is setting up a simple and cheap studio for her photography shoot by using a bulb inside a reflective shell that directs light forward and clips to the edge of a table. what is this device that luisa is using called?
Luisa is setting up a simple studio for her photography shoot using bulb inside a reflective shell that directs light forward and then clips it to the edge of table. The device that Luisa is using is called clamp light.
What is the importance of clamp light?Clamp light is a kind of lighting fixture used in films that is to hold a screw-in light bulb and sometimes it may also have an aluminum reflector dish and light is mounted with a spring clamp on one side of an open door.
Clamp lights are good addition to any artists or photographers. These are compact as well as portable. These lighting fixtures contain a gripping device so that it can be easily attached to tables, beams and other surfaces.
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a toy train is traveling along a circular track at a constant speed. the acceleration of the train is found to be 8.0 m/s2 . if the radius of the track is 0.5 m, what is the speed of the train?
The speed of the toy train travelling on a circle-shaped track is 2.0 m/sec also called velocity of the train.
How to find Speed ?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.Circular motion is defined as the movement of an object when its distance from the centre remains constant.The object is rotating in a circle at a constant speed; therefore, when the direction of motion changes, the velocity changes.When a moving object changes direction while maintaining its speed, it experiences a centripetal acceleration (ac), also referred to as a radial acceleration since it acts at right angles to the velocity at any given moment and is directed toward the centre of a circle.The formula for centripetal acceleration is a = v2 / r, where a stands for acceleration, v for velocity, and r for radius. Rearranging terms:
v = sqrt(ra)
v = sqrt( [0.5 m * 8.0 m/sec^2] )
v = sqrt( 4.0 m^2/sec^2 )
v = 2.0 m/sec
The speed of toy train is 2.0 m/sec
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Select all that apply.
Salt dissolved in water is a solution, therefore _____.
A. salt and water are chemically combined
B. salt is not chemically bonded to water
C. salt and water retain their own chemical properties
D. the ratio of salt to water may vary
E. the quantity of salt and water is fixed
Answer:B
Explanation:explanation
The wise and economic use of energy sources is the best way of conserving existing energy sources. Justify this statement.
The wise and economic use of energy sources is the best way of conserving existing energy sources because it ensures that energy sources that are not renewable such as petroleum are effectively managed so that they last for a longer time.
What is the conservation of resources?The conservation of resources refers to the various steps ad method employed to ensure that the existing resources are available for a long time and for future generations.
Conservation of energy sources involves effective and efficient use and management of energy sources so that they last longer. One way is the use of renewable energy.
One of the most important ways of the conservation of resources is the process of recycling to ensure that resources are reused.
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a solenoid is wound with a single layer of insulated copper wire (of diameter 1.0 mm) and is 14.6 cm in diameter and 1.4 m long. how many turns are on the solenoid? assume that adjacent wires touch and that the insulation thickness is negligible.
How many turns are on the solenoid? The number of turns on solenoid are 1.400 turns
To find how many turns on solenoid can be calculated as follows:
Given data,
[tex]d[/tex] (diameter of copper wire) = 1mm = 1×[tex]10^{-3}[/tex]m
[tex]D[/tex] (diameter of solenoid) = 14.6cm = 0.146m
[tex]l[/tex] (length of solenoid) = 1.4m
Next, to determine how many turns on solenoid, we can use the formula below:
[tex]N=\frac{l}{d}[/tex]
[tex]N=\frac{1.4}{0.001}[/tex]
[tex]N=1.400[/tex] turns
Therefore, the number of turns on solenoid are 1.400 turns
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there are two different objects of different masses. object a has a mass of 50 kgs and object b has a mass of 30kgs. which object will have more inertia and why?
what is the approximate mass of the most massive stars left on the main sequence of this star cluster?
The approximate mass of a star cluster whose most massive stars left on main-sequence star is RMC 136a1 with the estimated mass of RMC 136a1 is 315 solar masses, a solar mass is equal to the mass of the sun. In general, it takes a very long time for stars to form.
It is also assumed that the stars in the cluster are homogeneous or have properties similar to each other. The amount of time a star stays in a staging or sequencing stage is determined by its mass.
A star cluster is one of two different forms of stellar assemblages that are bound together by the gravitational attraction of their individual members, who are linked together physically by a shared origin.
Therefore, a study of the system by the Hubble Space Telescope found that the cluster is made up of over 200 extremely bright stars. The biggest one was called RMC 136a1. The estimated mass of R136a1 is 315 solar masses, where 1 solar mass equals the solar mass
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in hydrogen fusion, four protons crash into each other to produce a helium nucleus. but the helium nucleus (and other particles created in the reaction, such as neutrinos) is less massive than the protons that form it. what happens to the missing mass?
Missing mass converted into energy.
How does the fusion of four hydrogen atoms into helium atoms occur?Four hydrogen nuclei (photons) combine to form a helium nucleus in the fundamental hydrogen fusion cycle. In the star's core, throughout this fusion cycle, energy is released; in other words, energy is released during this process.
Compared to the original four protons that joined together, the final helium-4 atom weighs less (see E=mc2). Because of this, the mass-energy equivalence of their interaction causes an excess of energy to be released from the Sun as heat and light.
The sun and the stars are propelled by fusion. In one instance of this kind of reaction, two hydrogen atoms combine to create an atom of helium. During the process, a portion of the hydrogen's mass is transformed into energy.
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