a skateboard rolls down a hill and the wheels do not slip against the pavement. does the static friction force of the pavement on the wheels do any work on the skateboard? g

Answers

Answer 1

The static friction force of the pavement on the wheels will not do any work on the skateboard.

Static friction is a variable resisting force that is equal and opposite to the external force until it exceeds the motion threshold when sliding begins.

It is also called as self adjusting force.

If the skateboard is rolling at a constant speed without any other forces acting on it, then there is no tendency to slip between the wheel and the surface, so there is no frictional work. Friction will only try to prevent slipping between the 2 surfaces.

On an inclined plane, the wheels will tend to slide down, and if there were no friction, it would again slide between the wheels and the inclined surface. Perhaps friction will always try to counteract the slip, so here it acts upward on the slope to try to prevent the skateboard from sliding down the slope. This has the effect of applying a moment to the skateboard causing it to roll.

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Related Questions

How does the Schrödinger model differ from the Bohr model of an atom?
A) It shows a heavy, positively charged nucleus.
B) It shows electrons scattered throughout a positive material.
C) It shows electron orbitals as regions of space.
D) It shows negatively charged particles in the nucleus

Answers

The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.

What is the Bohr model?

In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.

However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.

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given the presence of dust throughout the disk of the milky way galaxy, what is the best technique for learning about more distant regions of our galaxy's disk?

Answers

Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.

What evidence do we have that the Milky Way is a disk galaxy?

There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.

The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.

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If an object accelerates from rest to its final vermouth in 12.3 s what is the final velocity if it traveled 200m

Answers

the final velocity is 10.50 m/s.

calculation:

time t= 12.3 s

distance s= 200u=0

equations are,  v² = u² + 2as,

s = ut + ½at²

200= 0*12.3 + 1/2*a*

a=2.77

v² = u² + 2as,

v²= 0 + 2*2.77*200

v=10.50 m/s

What is the speed in units?

A particle or object's movement with respect to time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.

In physics, what does "velocity" mean?

An object's position and speed are mostly determined by its velocity. It calculates the distance an object travels in a specific length of time. The distance an object travels in a given amount of time is its velocity.

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what is the typical power radiated by an ils localizer? what is the potential problem with an ils localizer assigned to 108.1 mhz and a nearby fm broadcast station assigned to 107.7 mhz (hint: what is the typical power radiated by fm radio stations)?

Answers

The transmitters operate between 190 and 535 kHz, have a range of at least 15 miles, and have a power of less than 25 watts.

A localizer's sensitivity range.

The localizer course is typically 5°, which is fairly narrow. High needle sensitivity follows from this. When the airplane is 2.5° to either side of the centerline with this course width, a full-scale deviation is visible. This sensitivity enables precise alignment to the runway for landings.

Operating between the frequencies of 108.10 MHz and 111.95 MHz, the localizer transmitter uses one of the 40 ILS channels. Signals give the pilot direction to the middle of the runway.

An instrument landing system is a precise runway approach device that uses two radio beams to give pilots horizontal and vertical guidance as they approach the landing. The glideslope (GS) defines the proper vertical descent profile, while the localizer (LOC) offers azimuth guidance.

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a rigid , massless rod of length l, has a point paricle of mass m located at one of its endpoints. the system can freely rotate about a pivot point located at another end where gravity is considered. find the hamiltonian

Answers

The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).

How to find Hamiltonian ?

The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.

It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.

Choose a coordinate system such that kˆ is pointing upwards

then the angular acceleration is given by

α = d^2 *θ /dt^2 * k

The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore

τcm = −bθ kˆ .

The z-component of the rotational equation of motion is

−bθ = Icm * d^2 *θ / dt^2 .

This is a simple harmonic oscillator equation with solution is

θ(t) = Acos(ω0 t) + Bsin(ω0 t)

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a skateboard with a negative acceleration, which of the following statements is always true

Answers

The initial velocity of the skateboard will be greater than its final velocity.

The correct option is C.

What is acceleration ?

Acceleration is the rate at which the speed and direction of velocity vary over time. A point or object going straight ahead gets accelerated when it accelerates or decelerates. Even if the speed decreases, movement on a circle accelerates because the direction is always shifting.

Is speed acceleration?

We refer to a change in an object's speed or direction as acceleration. The rate at which speed varies is known as acceleration. Keep in mind that velocity has two parts: speed and direction.

Can acceleration have a negative ?

Our theory says that an object accelerates in the reverse direction from the velocity when it slows down. As a result, the object is moving backwards.

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The complete question is-

For a skateboard with a negative acceleration, which of the following statements is always true?

A. The skateboard is losing speed

B. The final velocity of the scooter will be negative

C. The initial velocity of the skateboard will be greater than its final velocity

D. The skateboard will have a negative displacement

a solid ball with a volume of 0.4 m3 is made of a material with a density of 2500 kg/m3. what is the mass of the ball?

Answers

1000 kg is the mass of the ball.

How can density be converted from volume?

To find the volume of a substance, divide its mass by its density (mass/density = volume). Consistent measurement units should always be used. If the density is specified in grams per cubic centimeter, for instance, then calculate the mass in grams and provide the volume in cubic centimeters.

How can density be determined in three different ways?

From mass and volume measurements, the densities of brass and aluminum will be determined. Three different methods will be used to calculate volumes: geometrically (by measuring lengths); via water displacement; and via pycnometry.

The density calculation formula is p = m/V.

m = p*v

m = 100kg

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PLS ANSWER quicklu thank youu​

Answers

Answer: 3/4 net decline
(three quarters)

Explanation:

a galilean telescope adjusted for a relaxed eye is 36.2 cm long. if the objective lens has a focal length of 39.0 cm , what is the magnification? follow the sign conventions.

Answers

The magnification of a Galilean telescope adjusted for a relaxed eye is 36.2 cm long is 0.2838 or 28%.

To calculate the magnification of a Galilean telescope, we must first know the focal length of the objective lens. The focal length of a lens is found by dividing its distance from the object by its distance from the image. In this case, we are looking for 39 cm, so we can calculate that the focal length is 40.0 cm/39 cm = 1.03.

Now we have all of our information. Using our equation for magnification (M=f-o/f), we can find that

M=1.03-36.2/39

= 0.2838 or 28%.

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One force that acts on a surfer is friction. Another is gravity. Which of these is a non-contact force?

Answers

Answer:  gravity

Explanation:

Friction requires 2 surfaces in contact with each other.  Gravity is a non-contact, universal force.

suppose this experiment were done on the moon, where the acceleration of gravity is approximately 1/6 of that on the earth. how would this change the frequency of the oscillation?

Answers

Since frequency, in physics, is the number of waves passing a fixed location in a unit of time, it would remain constant.

How and why is frequency used?

In science and engineering, frequency is a crucial characteristic for describing the temporal rate of change seen in oscillatory or periodic phenomena including mechanical motion, audio signals (sound), radio waves, or light.

Why do frequencies occur?

Frequency of a wave is defined as the total number consecutive waves generated in a second. Frequency is the measurement of the number of vibrations per second. As an example, consider the following: If five full waves are created in a second, their frequency is 5 hertz (Hz), meaning 5 cycles per second.

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sae 6.8 the resolution of a microscope is limited to approximately one-half the wavelength of the light source. because of this limitation, microscopes capable of obtaining atomic-scale images use electrons instead of visible light to illuminate samples. to distinguish atoms separated by a few hundred picometers, as they are in most solids, the electron wavelength should be less than or equal to approximately 200 pm. to what speed must the electrons be accelerated to attain this wavelength?

Answers

To find the speed of electrons, known the accelerated and wavelength.

What is acceleration?

The rate of change in both speed and direction of velocity over time is defined as acceleration. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even when the speed is constant.

What is wavelength?

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm).

λ=h/p

⇒ 200pm=h/m×v

V=6.626×10^⁻³⁴/9.1×10^⁻³¹×200×10^⁻¹²

=0.00364×10^⁻³⁺¹²

=0.00364×10⁹

v⇒3.64×10⁶m/s

Therefore, the speed of the electron accelerated to 3.64×10⁶m/s attain this wavelength.

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a proton moves at constant velocity in the y direction, through a region in which there is an electric field and a magnetic field. the electric field is in the x direction, and has magnitude 400 v/m. the magnetic field is in the -z direction, and has magnitude 0.65 t.what is the magnitude of the net force on the proton?

Answers

The magnitude of the net force on the proton is 0.

What happens when the net force is zero?

An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.

Fₙ = F₁ - F₂

Fₙ = Net force

F₁  and F₂ are applied forces

Now, F = ma

0 = ma

a = 0

Since acceleration is zero this implies that the object is moving with a constant velocity.

For the given case,

The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:

Fₙ = ma

Fₙ = m × 0

Fₙ = 0

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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?

Answers

The object that will have more inertia would be object A.

Inertia is the tendency for an object to remain unchanged unless acted upon by an external (or unbalanced) force. Object A would have more inertia essentially because it weighs more than object B. With more mass comes more resistance, meaning object A would be more difficult to budge. Because it takes more force for object A to move, we know that object A has more inertia.

a parallel-plate capacitor in air has circular plates of radius 2.7 cm separated by 1.1 mm. charge is flowing onto the upper plate and off the lower plate at a rate of 7 a. find the time rate of change of the electric field between the plates.

Answers

The time rate of change of the electric field between the

is 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex] .

The  radius is   2.7 cm = 0.027m

The distance of separation is   1.1 mm = 0.0011m

The  current is  7A

Generally the electric field generated is mathematically represented as

            E = [tex]\frac{q}{\pi r^{2}E_{0} }[/tex]

                =

Where [tex]E_{O}[/tex] is the permittivity of free space with a value

   [tex]E_{0} = 8.85\times 10^{-12} m^{-3} kg^{-1} s^{4} A^{2}[/tex]

So the time rate of change of the electric field between the plates is mathematically represented as

[tex]\frac{E}{t} = \frac{q}{t} \times \frac{1}{\pi r^{2} E_{o} }[/tex]

[tex]\frac{q}{t} = I[/tex]

[tex]\frac{E}{t} = \Ifra \times \frac{I}{\pi r^{2} E_{o} }[/tex]

substituting values

[tex]\frac{E}{t} = \Ifra \times \frac{7}{3.142 (0.027)^{2} 8.85\times 10^{-12} }[/tex]

   = 1.43x [tex]10^{14}[/tex]N C [tex]s^{1[/tex]

What is charge?

"Electric charge is a property of a subatomic particle that causes a force when placed in an electric and magnetic field." There are two types of electrical charges: positive and negative, which are usually carried by the charge-carrying protons and electrons.  Examples of charge types are subatomic particles or particles of matter: Protons are positively charged. Electrons are negatively charged. neutrons have zero charge.  Electric charge is a scalar quantity. In addition to magnitude and direction, a quantity called a vector should also obey the laws of vector addition, such as the triangular law of vector addition and the line law of vector addition; only then is the quantity said to be a vector quantity.

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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?

Answers

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.

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an object moves in an xy - plane and has the following coordinates

Answers

The x component of the object's velocity is -8 m/s and the y component of the object's velocity at the given time is 7 m/s.

option B is the correct answer

What is the x and y components of the object's velocity?

The x and y components of the object's velocity at the given time is calculated as follows;

x = -3t³ - 5t²

y = 4t² + 3

where;'

x is the x componenty is the y componentt is the time

At the given time, t = 1 second, the  x and y components of the object's velocity is;

x = -3(1)³ - 5(1) = -8

y = 4(1)² + 3 = 7

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A 1,286-kg car is skidding to a stop along a horizontal surface. The car decelerates from 26.9 m/s to rest in 9.36 seconds. How far did the car skid before coming to rest?

Answers

Answer:

Explanation:

Given:

M = 1 260 kg

V₀ = 26.9 m/s

V = 0 m/s

Δt = 9.36 s

___________

L - ?

1)

Vehicle acceleration:

a = (V - V₀) / Δt )  = (0 - 26.9) / 9.36  ≈ - 2.87 m/s²

2)

Braking distance of the car:

L = (V² - V₀²) / (2·a)

L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m

Two nucleotides on the same strand form a __________ bond while two complimentary bases on opposite strands form ____________ bonds. An a-t base pairing forms _____ such bonds.

Answers

Two nucleotides on the same strand form a Phosphodiester bond while two complimentary bases on opposite strands form Hydrogen bonds. An a-t base pairing forms 2 such bonds.

In DNA double helix, the individual constituents are called nucleotides. These nucleotides are composed of bases which are linked together though covalent linkage also known as a phosphodiester bond.

Two individual strands in DNA are formed by the combination of phosphodiester linkages.

In general, with in a DNA nucleotides, hydrogen bonds are present which join the complementary pairs of bases. For example, two hydrogen bonds are present between thymine and adenine while three hydrogen bonds are present between cytosine and guanine.

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a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.

Answers

The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.

What is a longitudinal wave?

Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.

Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes

A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.

To calculate the above answer multiply wavelength by frequency to get the speed of a wave.

That is:

2.4 x 0.66

= 1.584

Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.

Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.

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a 1571-kg submarine rises straight up toward the surface. seawater exerts both an upward buoyant force of 14,848 n on the submarine and a downward resistive force of 947 n. what is the submarine's acceleration?

Answers

the submarine's acceleration is 0.95  m/sec²

Total force on submarine   =    14848 -  (1571 * 9.8 + 947)

                                          =   -1494.8  N

=>    submarine's acceleration  =  F/m

                                                 =    1494.8/1571

                                                =  0.95  m/sec²

acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.

It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).

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the bucket of the backhoe and its contents have a weight of 1200 lb and a center of gravity at g. the bucket is pinned at e (figure 1).

Answers

Answer:

1200

Explanation:

what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.

Answers

The magnitude of the angular velocity of the merry-go-round is equal to 2.39 rad/s after a 23 kg child gets onto it.

What is angular momentum?

Angular momentum can be described as the rotational form of linear momentum. It is a physical conserved quantity as the total angular momentum remains constant.

Given, the mass of the child m = 23 Kg

The mass of the merry-go-round M = 125 Kg

The initial speed of the merry-go-round, ω₁ = 0.52 rev/s = 3.27 rad/s

The radius, r = 1.8 m

From the conservation of the angular momentum, we can find the angular velocity:

[tex]I_1\omega_1= (I_1+mr^2)\omega[/tex]

[tex](\frac{1}{2} Mr^2)\omega_1= (\frac{1}{2} Mr^2+mr^2)\omega[/tex]

[tex]\omega =\frac{M.\omega_1}{M+2m}[/tex]

[tex]\omega = \frac{125\times 3.27}{125 +2\times23}[/tex]

ω = 2.39 rad/s

Therefore, the magnitude of its angular velocity after a 23 kg child gets onto it by grabbing its outer edge is 2.39 rad/s.

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Your question was incomplete, but the most probably complete question was,

A playground merry-go-round with a mass of 125 Kg and a radius of 1.8 m is rotating with a frequency of 0.52 rev/s. what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.

two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). the smaller flywheel of radius 12 cm has a cord that has a pulling force of 50 n on it. what pulling force (in n) needs to be applied to the cord connecting the larger flywheel of radius 19 cm such that the combination does not rotate?

Answers

The pulling force (in N) that needs to be applied to the cord connecting the larger flywheel is 31.58 N.

Force is a push or pulls upon an object because of the item's interaction with some other object. A pressure can purpose an object with mass to exchange its speed, i.e., to boost up. stress additionally can be described intuitively as a push or a pull. A force has each importance and route, making it a vector amount.

calculation:-

Net torque on the system = 0

τ = r × F

So, here

r₁ × F₁ = r₂

12 × 50 = 19 × F₂

F₂ = 12 × 50 / 19

    = 31.58 N

The phrase force has a very particular which means that. At this degree, it is really suitable to describe a pressure as a push or a pull. A pressure isn't always something that an item consists of or 'has in it. A pressure is exerted on one object thru some other. The concept of a force is not restrained to dwelling subjects or non-residing matters.

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A 5 kg ball is thrown into the air. It is going 6
m/s when
thrown. How much potential energy will it have
at the top?

Answers

The potential energy will be 180J

By going through the formula of potential energy that is U=mgh

where, U= Potential energy

m= mass

g= gravitational feild

h= height

Now as per the question,

Initial velocity, u = 6 m/s

Final velocity, v = 0 m/s

Acceleration due to gravity, g = -5 m/s²

(The negative sign implies that the object is moving downwards)

To find the value of Height, we need to use the relation,

v^2 - u^2 = 2gh

0 - 36 = -10h

h = 36/10 m

Height = 18/5 m

therefore, Potential Energy(U) = mgh

                                              = 10 × 5 × 18/5 J

                                              = 180 J

Therefore, the ball will have a potential energy of 180 J when it is at its highest point.

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Stan argues that momentum cannot be conserved when a collision is not a head-on collision. Rachel insists it is conserved because each body receives an impulse of equal magnitude. Rachel is correct because?.

Answers

Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.

What exactly is the law of momentum?

The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.

That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.

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a car is being driven at a rate of 40 ft/sec when the brakes are applied. the car decelerates at a constant rate of 16 ft/sec^2. calculate how far the car travels in the time it takes to stop. your answer: answer unit

Answers

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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a glass slab of thickness 3 cm and refractive index 1.67 is placed on on ink mark on a piece of paper. for a person looking at the mark from a distance of 9.8 cm above it, what well the distance to the ink mark appear to be in cm?

Answers

The distance to the ink mark appear to be in 3.58cm.

How do you define refractive index?

The refractive index, also known as the index of refraction, is a numerical value that is determined by comparing the difference between the speed of light in a vacuum and that of light in a material with a higher density. The refractive index variable is most usually represented by the letter n or n' in mathematical computations and descriptive language.

The measurement of how much a light ray bends when moving from one medium to another is called the refractive index. It is also known as n = c/v, which is the ratio of the speed of a light beam in a substance to that of a light ray in a vacuum.

The perceived depth of the link noted = real depth/µ

The perceived depth of the link noted  = 3/1.67

The perceived depth of the link noted = 1.79cm

So, the person sees the mark from a distance = 1.79+1.79 = 3.58cm

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A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the amount of work done by the net torque to the wheel during this time interval?

A: [tex]\frac{1}{2}l\omega_{f}^{2}[/tex]
B: [tex]l\omega_{f} T[/tex]
C: [tex]l\omega_{f} ^{2}[/tex]
D: [tex]l\omega_{f} ^{2} /T[/tex]

Answers

The wheel's average net torque over the course of interval T is  Iωf/T (option-D).

Does net torque match net force?

An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.

Given ,

The wheel's initial angular speed, [tex]w_{i}[/tex] = 0

Final wheel angular velocity, [tex]w_{f}[/tex] = [tex]w_{f}[/tex]

The amount of time required to increase the wheel's angular speed t = T

The wheel's angular acceleration,

α = [tex]w_{f}[/tex] - [tex]w_{i}[/tex]/T

α = [tex]w_{f}[/tex] - 0/T

α = [tex]w_{f}[/tex]/T

Newton's Second Law of Rotation states:

The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.

τ = Iα

An expression for angular acceleration is:

α = (ωf - ωi) / T

α = ωf/T

As an alternative to the second law:

τ = Iωf/T.

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tarzan, who weighs 688 n, swings from a cliff at the end of a vine 18 m long (fig. 8-38). from the top of the cliff to the bottom of the swing, he descends by 3.2 m. the vine will break if the force on it exceeds 950 n. (a) does the vine break? (b) if no, what is the greatest force on it during the swing? if yes, at what angle with the vertical does it break?

Answers

No, the vine didn't breakThe greatest force will be, T = 932.6 NWhat is tension?

Tension is defined as the pulling force transmitted axially using a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar 3-D object; tension might also be expressed as the action-reaction pair of forces acting at each end of said elements.

Maximum tension:

T - mg = mv²/L

By energy conservation:

mgh = ¹/₂ mv²

v² = 2gh

Now the tension force in the vine at this position is given as:

T = mg +  mv²/L

Now substitute the values in the above equation:

T = 688 N + m(2gh)/L

T = 688 + 2×3.2(688)/18

T = 932.6 N

As the force is less than the limit of 950 N so the vine didn't break.

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