A block with a mass M compresses a spring a distance A and is then released. The block travels along a horizontal surface and encounters a rough region with friction. The block comes to a stop after traveling a distance L along the rough region. How far along the rough region would the block travel if it had a mass of 2M? 4L L/2 OL OL L/4 O 2LPrevious question

The change in momentum of the bowling ball of mass 8.11 kg is 159.152 kgm/s.

The change in the momentum is equal to the product of the mass and the change in the velocity.

To calculate the change in momentum of the bowling ball, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the change in momentum of the ball is 159.152 kgm/s.

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Complete question: A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds. Calculate the change in momentum of the bowling ball

On the north pole, one day for about 17 hours on uranus.

Its call is a reference to the Greek god of the sky, Uranus, who, in step with Greek mythology, was the extremely good grandfather of Ares, grandfather of Zeus, and father of Cronus.

Uranus is the only planet whose equator is sort of at a proper attitude to its orbit, with a tilt of 97.77 degrees – likely the end result of a collision with an Earth-sized item lengthy in the past.

The blue-inexperienced color effects from the absorption of crimson light by way of methane gas in Uranus' deep, cold, and remarkably clean surroundings.

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Force required is: -170N for the distance of 342.25m.

a) F=ma

F= - 85×2.0 = - 170

b) using energy

5×85×37²=170×d

d = 342.25 m

c) The work done would be given by

W= F×d

W  =(−1.7×10²N)×(3.4×10²)

W=−5.8×[tex]10^{4}[/tex]J

d) The net force on the mass would be

F = ma

F = -340 NF

-ve sign indicates that the force acts opposite to the direction of motion.

e) Using the kinematic equation

v²= u² + 2ad

d= 1.7 × 10² m

f) The work done would be given by

W= F×d

W= -5.8 × [tex]10^{4}[/tex]

-ve sign indicates that the energy of the rider decreases by the force

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The ball falls to the ground with a magnitude of 244.8 feet and a speed of 91.0 feet per second.

In this situation, we have a three-dimensional problem that kinematics can help us solve by determining the position, velocity, and acceleration of the body.

The vector, which is the ball's position in the air at time t,

p(t) = (60 i + 64 k) t + 1/2 (-6 j - 32 k) t ²

and its velocity is given by

v(t) = (60 i + 64 k) + (-6 j - 32 k) t

The time the ball is in the air is equal to the time it takes for the position vector's vertical (k) component to reach zero, so we solve,

64 t - 32/2 t ² = 0  ==>  t = 0 OR t = 4

and so the ball is in the air for 4 s.

The ball has position vector.

p(4) = (60 i + 64 k) t + 1/2 (-6 j - 32 k) t ² = 240 i - 48 j

which has magnitude.

||p(4)|| = √(240² + (-48)²) = 48 √26 ≈ 244.8 ft

in the direction of the positive x axis in the x, y plane so that

tanθ = -48/240 = -1/5  ==>  θ = -arctan(1/5) ≈ -11.3º

or 11.3º South of East.

The ball swiftly strikes the ground.

||v(4)|| = ||60 i - 24 j - 64 k|| = √(60² + (-24)² + (-64)²) = 4 √517 ≈ 91.0 ft/s.

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If three capacitors with values of each are connected in series, the corresponding capacitance is 46 mF 1 / (1/1.)+(1/1.5)+(1/2.).

An electrical energy storage device is a capacitor. It has two conductors in it that appear to be close to one another but are kept apart. A straightforward example of a particular storage device is the parallel-plate capacitor.Equivalent Capacitance for three capacitors in series can be given by the following equation. 1/C = 1/C1 + 1/C2 + 1/C3.

Capacitors are most frequently used for signal coupling and decoupling, power conditioning, electronic noise filtering, energy storage, and remote sensing. Capacitors are employed in many different industries since they have a crucial and adaptable role for a variety of applications.

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The distance that the car will travel before coming to a complete stop is 82ft.

Distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.

The distance of a moving object can be calculated using the following formula:

Speed = distance ÷ time

According to this question, a car traveling at 41 ft/sec decelerates at a constant 2 feet per second. The distance can be calculated as follows:

41ft/sec = D/2

Distance = 82feet

Therefore, 82ft is the distance of the car travelling.

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2.23 seconds is the cannons' total flight time.

What is Acceleration due to gravity ?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/[tex]s^{2}[/tex] is its SI unit. Both magnitude and direction are present.

According to the information

A diagonal ball is launched at a 45° angle from the horizontal. The ball is being fired in a projectile motion. A projectile is a motion in which a body that has been discharged into space with a velocity U is allowed to fall freely while being affected by gravity.

The cannon ball's total flight time, T, can be represented as;

where T = 2Usin(theta)/g;

U is the ball's starting speed, which is 35 m/s.

The angle the ball makes with the horizontal is theta, which is equal to 45°.

The acceleration caused by gravity is g =  9.81 m/[tex]s^{2}[/tex]

Incorporating the provided data into the existing formula;

T = 35sin45°/9.81

T = 35×0.7071/9.81

T = 24.74/9.81

2.52 seconds later

2.23 seconds is the cannons' total flight time.

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Answer:

Explanation:

You can drive at 60 miles per hour

D = 60 miles

t = 1 hour

Speed:

V = D / t = 60 / 1 = 60 mph

The racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m are:

Constant Velocity , u = 75 m/s

Radius , r = 625 m

a) Total Acceleration = v^2/r

Total Acceleration = 75^2/(625)

Total Acceleration Acceleration = 9 m/s^2

The magnitude of the total acceleration is 9 m/s^2

b) Since the velocity is constant

The tangential acceleration is zero

The total acceleration is therefore the radial acceleration.

the direction of total acceleration relative to radial direction is zero

Acceleration is the name we give to the process of changing velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both

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The value of resistance r is 100ohm

Define resistance.

The opposition a substance provides to the flow of electrical current is referred to as resistance. The capital letter R is used to symbolize it. The ohm, which can be written as a word or represented by the Greek letter omega  Ω in uppercase, is the universal unit of resistance.

Because the output current of the first resistor flows into the input of the second resistor in a series circuit, the current through each resistor is equal. All of the resistor leads on one side of the resistors are connected together, as are all of the leads on the other side, in a parallel circuit.

In a parallell circuit,

1/R =  1/R1 + 1/R2

Given R1= r

          R2= 400

          I= 5

          V= 12V

1 / R + 1 / 400 = 5 / R

1 / 400 = 4 / R

R = 400/4

R= 100ohm

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Two vectors vector a and vector b, each located in a different position in the plane, have equal magnitude and the same direction, both vectors are considered to be parallel to each other.

Two vectors are said to be parallel if and as it were in case the angle between them is degrees. Parallel vectors are too known as collinear vectors, that is two parallel vectors will be continuously parallel to the same line but they can be either within the same direction or within the exact inverse direction. The cross product of any two parallel vectors could be a zero vector. For any two parallel vectors a and b, their dot product is equal to the product of their magnitudes.

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Yes, it is possible to have the larger force produce less torque than the smaller force. It is possible for the larger force to be applied closely enough to the center of mass of the rigid body due to which its resulting torque is smaller than that of a smaller force applied at a point far from the center of mass.

Force is an external cause due to which a body tends to modify or change its state. Due to application of force, the body can also change its size, shape, and direction. Force has both direction and magnitude.

Force = mass × acceleration

The force that can cause an object to rotate along an axis is measured as torque.

[tex]\tau = rF\sin\theta[/tex]

Here, [tex]\tau \\[/tex] = Torque

r = radius

F = force

[tex]\theta[/tex] = the angle between the F and the lever arm

In the given question, lets assume the following,

F = Large force

d = Distance from the point of application of the large force to center of mass

f = Small force

D = Distance from the point of application the of small force to center of mass

Now,

Assuming D > d (i.e, D is greater than d).

The torque caused by the large force is Fd, and the torque caused by the little force is fD if the forces are applied perpendicular to the body's axis. Hence, depending on the values of F, f, D, and d, we can have Fd < fD.

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She draws her arms close to her body, decreasing her moment of inertia, to quicken the rotational velocity of her spin. Due to the conservation of angular momentum, rotational velocity will increase,

The angular velocity (w), a vector quantity in uniform circular motion, is determined by dividing the angular displacement (ΔФ a vector quantity), also a vector quantity, by the change in time (t). Speed is equal to the arc length travelled (S) divided by the change in time (Δ), which is also equal to ||R.

According to the above given information

We got to know that

She draws her arms close to her body, decreasing her moment of inertia, to quicken the rotational velocity of her spin. Due to the conservation of angular momentum, rotational velocity will increase.

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This is because spray sunscreens contain fewer ingredients and preservatives than cream sunscreens.

What is sunscreen?
Sunscreen, also referred to as sunblock as well as sun cream, is a topical photoprotective product for the skin that primarily absorbs or, to a much lesser extent, reflects some ultraviolet (UV) radiation from the sun. This helps prevent sunburn and, more importantly, skin cancer. Lotions, sprays, hydrocolloids, foams, sticks, powders, as well as other topical products are all forms of sunscreen. Sunscreens are common additions to clothing, especially sunglasses, sunhats, and other types of photoprotective clothing (such as umbrellas). H.A. Milton Blake, an Australian chemist, created the first sunscreen in 1932 using a 10% concentration of the UV filter salol (phenyl salicylate).

Since they do not contain as many active ingredients, they are less likely to expire quickly. Additionally, because the sunscreen is in a spray form, it is less likely to be contaminated with bacteria or dirt, which can cause it to expire more quickly.

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The two light bulbs are to be resolved at a distance of 60.1 km.

The formula of Rayleigh criterion for the diffraction limit is

[tex]\theta \:=\: 1.22 \: \frac{\lambda}{D}[/tex]

where

Because in problems didn't give the detail about the wavelength, for visible light the radiation wavelength is 750 nm - 400 nm. In this problems I assume λ = 600 nm = 600 × 10⁻⁹ m = 6 × 10⁻⁷ m

[tex]\theta \:=\: 1.22 \: \frac{\lambda}{D}[/tex]

θ D = 1.22 λ

θ × 4.00 × 10⁻² = 1.22 × 6 × 10⁻⁷

θ = (7.32 × 10⁻⁷) ÷ (4.00 × 10⁻²)

θ = 1.83 × 10⁻⁵ rad

The angle for the light bulbs

[tex]\theta = \frac{s}{r}[/tex]

where

s = θr

r = 1.1 ÷ (1.83 × 10⁻⁵)

r = 6.01 × 10⁴ m

r = 60.1 km

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The answer is 0.408.

According to the principle of conservation of energy when a friction force acts within an isolated system, we have

ΔE = ΔU + ΔK = -[tex]f_{Friction}[/tex]d

= k[tex]x^{2}_{0}[/tex]/2 = [tex]f_{Friction}[/tex]d--------------------(1)

[tex]f_{Friction}[/tex] = [tex]u_{k}[/tex]N = [tex]u_{k}[/tex] = [tex]u_{k}[/tex]mg---------------------(2)

inserting eq. (2) into (1),

[tex]u_{k}[/tex]=  k[tex]x^{2}_{0}[/tex]/2mgd

inserting data given,

[tex]u_{k}[/tex]= 0.408163265 ≈ 0.408

Therefore, the answer is:  0.408

What is coefficient of kinetic friction ?

A sophisticated method for determining the dynamic coefficient of friction. The sliding friction coefficient μk is the ratio of the friction force to the normal force experienced by an object moving on a dry, uneven surface.

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The block and the tabletop have a 0.41 coefficient of kinetic friction, according to the supplied statement.

The box can't move on its own because of static friction; this friction must be overcome by an opposing army that is large enough for the box to move. When surfaces are moving, a force called kinetic friction, also known as dynamic friction, fights the movement of the surfaces.

The parameters supplied:

Block's mass, m, is equal to 0.50 kg.

Spring extension, when x=0.2 m

100 N/m is the spring constant, K.

By using the law of conservation of energy, we can calculate the kinetic friction coefficient that exists between block and the tabletop, as illustrated below.

[tex]\begin{aligned}& \mathrm{Fd}=U_x \\& \mu \mathrm{mgd}=1 / 2 \mathrm{kx}{ }^2\end{aligned}[/tex]

where;

μ is the coefficient of kinetic friction.

The block's and the tabletop's kinetic friction coefficient is:

[tex]\begin{aligned}& \mu_k=\frac{k x^2}{m g d} \\& \mu_k=\frac{100 \times 0.2^2}{2 \times 0.5 \times 9.8 \times 1} \\& \mu_k=0.41\end{aligned}[/tex]

Therefore, the block's and the tabletop's value of kinetic friction is 0.41.

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A commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 Hz: The train's speed is st=43.5m/sst=43.5m/s.

Frequency, in physics, is the number of waves that skip a hard and fast factor in unit time; also, the number of cycles or vibrations passed through in the course of one unit of time by way of a frame in periodic movement. The frequency of a particular statistic is the number of instances the facts price occurs. We constitute the frequency of a facts fee with the aid of f. as an instance if five students were given an A in technology, after which grade A is said to have a frequency of 5.

Frequency is the range of occurrences of a repeating occasion per unit of time. it's also once in a while called temporal frequency to emphasize the assessment of spatial frequency, and normal frequency to emphasize the difference from angular frequency.

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The ultimate speed is 0.333× 10⁸ ms‐¹.

The proton mass is 1.67×10−27 kg. If the spring were to break, the alpha particles would collapse and the protons would fly in the opposite direction.

Calculation:-

Deuterons:= 0.333×108ms−1

m2=3.34×1027kgu2=0

Let v be the velocity of the combination

Then from momentum conservation

m1u1+ m2u2= (m1+m2)v

1.67×1027×108+3.34×1027

= ( 1.67+3.34)×10−27×v

binding velocity

v=1.67×10−27×1085.01×10−27

= 0.333×108ms−1

A proton is a stable subatomic particle with a positive charge of +1 e elementary charge, symbol p, H+, or 1H+. Its mass is slightly less than that of a neutron, 1836 times that of an electron (proton-to-electron mass ratio). Protons and neutrons, each with about one atomic mass unit, are collectively called "nucleons" (particles present in the nucleus)

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The angular displacement of each wheel during this period will be 209 rad

Explain angular displacement

A body's angular displacement is the angle (measured in radians, degrees, or revolutions) by which a point rotates around a specific axis or center in a particular way. Because a body rotating about its axis experiences variable velocities and accelerations at all times, the motion cannot simply be considered as a particle motion (t).

We must first assume that the car's wheels are not slipping in relation to the pavement. If so, we can infer that the angular velocity and acceleration are given by

w = v/r = (20m/s)/(.300 m) = 6  rad/s

a = a/r = (1.5 m/s2)/(.300 m) = 5 rad/s2

Using this data, we can calculate the angular displacement by:

angular displacement = (6 rad/s)(8.00 s) + .5(5 rad/s2)(8.00 s)2

                                      = 48 rad + 160 rad = 209 rad

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The system's behavior becomes more elastic when the spring constant, k, is increased, as is the Q factor

Since a spring's constant k and its length are inversely related, when a spring is divided into n parts, the length increases by 1n, making the spring constant k/(1/n)=nk.

The square root of the mass and the spring constant have opposite relationships with respect to the period of a spring-mass system.

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The atmosphere may have been thicker and had a stronger greenhouse effect, to allow liquid water to exist on the surface.

Explain in detail.

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Proton will undergoes the lesser acceleration

Due to the opposite polarity of an electron and a proton, when they are in an electric field, they are attracted to one another by an electrical force of equal strength. However, because of their opposing charges, the force's direction will be the opposite.

An electron will accelerate more quickly than a proton because of the difference in mass between the two particles.

Thus, the electric forces acting on them will be equal in strength but directed in the opposite direction. Since the mass of the proton is 1836 times greater than the mass of the electron, its acceleration will be [1/1836] times greater.

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A dwarf ellipse. Despite being incredibly difficult to view, astronomers recently realised that this form of galaxy may be quite common.

What is a galaxy?

A galaxy is a vast collection of stars, solar systems, gas, and dust. Gravity holds a galaxy together. There is also a black hole at the centre of our galaxy milkyway.

Dwarf On a smaller scale, elliptical galaxies seem to share many of the same global characteristics as typical elliptical galaxies. They lack recent star formation, are elliptical in shape, and have very little to no gas. The most prevalent type of galaxy in the cosmos is a dwarf galaxy, but because of their small size, low mass, and low luminosity, they are hard to find.

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A capacitor and a resistor in series. This is known as a low-pass filter, and it attenuates higher frequencies more than lower frequencies, so at a given voltage the current will not depend on the frequency.

What is frequency?
In physics, frequency is the amount of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time. After moving through a series of situations or positions and then returning to its initial position, a body in periodic motion is thought to have experienced one cycle or one vibration. See also simple harmonic motion and angular velocity.

The frequency is 2 per second if the period, or time interval, needed to complete one cycle as well as vibration is 1/2 second; it is 100 per hour if the period is 1/100 of an hour. In most cases, the frequency is equal to the period, or time interval, reciprocally, so frequency = 1/period = 1. (time interval).

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Energy level 1 maximum electron capacity: 2, Energy level 2 maximum electron capacity: 8, Energy level 3 maximum electron capacity: 18 and Energy level 4 maximum electron capacity: 32.

What is Energy?
Energy, which is observable in the work performed as well as in the form of heat and light, is indeed the quantitative property that's also transferred to a body or a physical system in physics. Energy is a conserved resource; according to the principle of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) measurement unit for energy (J). The kinetic energy of the a moving object, this same potential energy held by an object (for example, due to it's own position in a field), this same elastic energy held in a solid object, chemical energy linked to chemical reactions, and radiant energy conducted by electromagnetic radiation are examples of common forms of energy.

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The sequence for de broglie wavelengths from largest to smallest is electron > proton > helium.

de broglie wavelength is an important concept to study various phenomenon in quantum mechanics.

Where, h is the Plank's constant

m is the mass of the particle

v is the velocity of particle.

mass of proton = mp = 1.6 x [tex]10^{-27}[/tex] kg

mass of electron, me = 9.1 x  [tex]10^{-31}[/tex] kg

mass of helium nucleus, mHe = 6.6 x  [tex]10^{-27}[/tex] kg

As the velocity of all the three elements are same as v.

According to the de Broglie wavelength formula, since v is same for all λ is inversely proportional to the mass of the element.

Lesser  the mass more will be the de broglie wavelength.

Here, mass of electron < mass of proton < mass of helium nucleus.

So, de broglie wavelength of electron > de broglie wavelength of proton > de broglie wavelength of helium nucleus.

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Ideally, the water bounces off the turbine blades, maximizing electricity era. when water splashes, momentum changes extra than while you are simply status.

Also, if the change in momentum of the water is greater than the alternate in momentum of the blade, the blade will spin faster. Consistent with the laws of movement, the momentum of the center of gravity of an object can most effective be changed by the movement of an external force.

But, because of the frictional force generated while the tires contact the ground, the internal force of the engine is added, allowing the automobile to accelerate.

Hydro turbines convert the strength of flowing water into mechanical energy. A hydroelectric generator converts this mechanical power into energy. A high stress water jet is pressed towards the turbine blades. The route of flow modifications. The ensuing change in momentum exerts a force on the turbine blades, inflicting the turbine to rotate.

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Answer:

V = 2.86 m/s

Explanation:

Given:

m = 1400 kg

p = 4000 kg·m/s

_________________

V- ?

Momentum:

p = m·V

Velocity:

V = p / m

V = 4000 / 1400 ≈ 2.86 m/s

The air blows across the straw's top at a speed of 122.79H m/s, causing water to collect there. To get water to collect at the straw's top, air is blown over it.

A moving object is said to be moving at a variable pace when it travels a varying distance at regular intervals of straw's top. The uniform speed determined by the ratio of the whole distance travelled by an object to the total amount of time it took to travel that distance is known as the average speed. Air blow straw's top are renowned to offer targeted, high-pressure output and are most ideal for automotive and industrial cleaning applications.

1/2*density* v = density*g*h

v = (density of b / 2*density*g*h)1/2

= (2*1000*9.8*h/1.3)\sv = 122.79h

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