the pressure exerted by a phonograph needle on a record is surprisingly large. if the equivalent of 1.00 g is supported by a needle, the tip of which is a circle 0.200 mm in radius, what pressure is exerted on the record in n/m2 (1 pa

Answers

Answer 1

77,985.92 N/m^2  pressure is exerted on the record in n/m2

Equation: Pressure, P = Force, F / Surface Area, A

Force, F = Weight, mg = 1/1000*9.81 = 9.81 * 10-3 N

Surface area, A = πr^2

= π*(0.200 / 1000)^2

= 1.2566 * 10-7 m2

P = F / A = (9.81*10^–3)/(1.2566*10^–7) = 77,985.92 N/m^2 as a result.

The normal force exerted by the record is supporting the needle of the record player, and this normal force will be equal to the force of gravity pulling the needle downward. If we were to look at the end of the needle, its radius would be a circle with a radius of 0.200 millimeters. Since the prefix "milli-" indicates times 10 to minus 3, we will translate that into 0.200 times 10 to minus 3 meters.

And since this region of the circle will be r squared, we can calculate the pressure at that point. The force per area, or mg, is what determines pressure. Therefore, mg equals the force, and r squared equals the area. Therefore, the pressure equals 7.80 times 10 to the 4 pascals, or 1.00 times 10 to the minus 3 kilograms times 9.80 newtons per kilogram divided by times its radius in meters squared.

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Related Questions

All of the following are types of perceptual constancies except __________ constancy. A. Direction b. Size c. Shape d. Color please select the best answer from the choices provided a b c d.

Answers

The hallmark of perceptual processes is the ability to determine that the direction of an object—even one that is not of a perceptual species—is the proper response. (Select A).

How should I define direction?

Direction can refer to a thing's course, the route one must follow to get there in particular, the direction something is beginning to take shape, or the direction you are facing. Going straight instead than left is an example of direction.

Why do we value direction?

One is given instructions when they are given what to do and in what order. You are provided a set of instructions for many of your homework tasks and assessments. Understanding the motivation behind the instructions is crucial.

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The angular momentum of the propellers of a small airplane points directly forward from the plane.
a. True
b. False

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The statement "The angular momentum of the propellers of a small airplane point directly forward from the plane" is false.

Angular momentum is a measure of an object's rotational motion and is defined as the product of the object's moment of inertia and its angular velocity. In the case of an airplane, the propellers spin about an axis that is perpendicular to the plane's direction of motion, so the angular momentum of the propellers points in the direction of this axis.

This direction is not necessarily directly forward from the plane and can vary depending on the orientation of the propellers and the plane's motion. Therefore, it is not true that the angular momentum of the propellers of a small airplane points directly forward from the plane.

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a ball is thrown upward at a velocity of 19.6 m/s. how long time does it take to come back to its original height?

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Time taken by the ball to reach its original height is 4 seconds.

How is time, height and gravity related in motion?

The vertical motion is a motion that occurs when we toss an object completely up. Because the initial velocity or force is only applied in the vertical axis, this motion only moves vertically; if there is any horizontal movement, the air is to blame.Because a uniformly accelerated motion typically goes in the "x" axis, the vertical motion could be viewed as a version that moves in the "y" axis. The acceleration of the vertical motion will be equal to the gravity, therefore it can be thought of as a uniformly accelerated motion.

Given that gravity is an acceleration that points downward, it will always have a negative sign. One of the key prerequisites for vertical motion is that the object's initial velocity must be greater than zero; otherwise, the object will begin to rise and slow down until its initial velocity equals zero, at which point it will begin to fall and its velocity will steadily increase in the opposite direction until it collides with the ground.

The time take by the ball to reach back to its original height will be equal to twice of time taken to reach its maximum height.

According to the kinematic equations of motoion we know that

v = u + at

Here v = final velocity, u = initial velocity , a = acceleration, t = time taken to reach maximum height

We know that;

v = 0 m/s

u = 19.6 m/s

g = -9.8 m/s^2

Thus

t = v - u/a

 = 0 - 19.6/ (-9.8)

= 2s

Thus time taken by the ball to reach its original height is 2 x t = 4s.

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the projection lens in a certain slide projector is a single thin lens. a slide 23.9 mm high is to be projected so that its image fills a screen 1.84 m high. the slide-to-screen distance is 3.05 m. (a) determine the focal length of the projection lens.

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The focal length of projection lens is  0.039m.

The opposite of a concave lens is a convex lens. Contrary to concave lenses, light rays converge in convex lenses. In contrast to the concave lens, the convex lens is bigger in the middle and thinner at the edges, therefore it converges the incident rays into its central axis.

Instead of being bent inward, the convex lens' edges are curved outward. The image seems smaller and inverted when the light is extremely focused beyond the focal length of the lens.

A convex lens's opposite side's center of curvature, , creates the image of an object placed in the center of curvature, , of the lens. As seen in the given illustration, the picture that forms is inverted and the same size as the object.

The image is inverted

h/H

= -1.8/0.024

the distance from slide to screen d=p+q=76p

M =75

d=p+q=76p

p= 0.0395m

p= 39.5cm and q = 75p = 2.96

and

a)1/0.395+1/2.96=1/f

f = 0.039m

b) from above p = 39.5 mm

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Police investigators, examining the scene of an accident involving two cars, measure 64-m-long skid marks of one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.70.Estimate the initial speed of that car assuming a level road.

Answers

The initial speed of that car assuming a level road is 29.63 m/s.

What is the acceleration of the cars?

The acceleration of the cars is calculated by applying Newton's second law of motion as shown below.

F = μmg

ma = μmg

a = μg

where;

m is the mass of the carsa is the acceleration of the carsg is acceleration due to gravityμ is the coefficient of kinetic friction

The acceleration of the cars is calculated as follows;

a = 0.7 x 9.8 m/s²

a = 6.86 m/s²

The initial speed of the car is calculated by applying the following kinematic equation as shown below.

v² = u²  - 2as

where;

v is the final velocity of the caru is the initial velocity of the cars is the length of the skida is the acceleration of the car

the final velocity of the car when it stops = 0

0 = u²  - 2as

u² = 2as

u = √ (2as)

u = √ (2 x 6.86 x 64)

u = 29.63 m/s

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Your physics teacher crumples a piece of paper into a ball and releases it from rest 2. 0 m from the ground. How long does the ball take to hit the ground?.

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When the ball is released from rest 2m from the ground, it will hit the ground at 0.63 seconds.

Here, we will use free fall kinematics equations.The ball hits the ground due to gravity of earth. we use equation of motion and will find time after which ball hit the ground. There are 3 main equations of motion. The paper ball falls from the rest, so the initial velocity will be 0.

[tex]s = ut + \frac{1}{2} a {t}^{2} [/tex]

S is the height

u is the initial velocity

g is the gravity (9.81 m/s²)

t the time

Now, the height will be 2m, u = 0

and we have to solve it for t

[tex]2 = 0 \times t + \frac{1}{2} \times 10 \times {t}^{2} [/tex]

[tex]2 = 5 {t}^{2} [/tex]

[tex] {t}^{2} = \frac{2}{5} [/tex]

t = 0.63

t = 0.63 seconds.

hence, the ball will hit the ground after 0.63 seconds of it's release.

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4.)a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 ke v. determine the energy and wavelength of the photon

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a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 keV.

wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

What is kinetic energy?

An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

The rest mass energy for electron and positron:

E₀ = m₀c²

E₀ = (9.1 × 10⁻³¹) × (3 × 10⁸)

E₀ = 8.198 × 10⁻¹⁴ J

E₀ = 512.4 × 10³ eV or 512.4 KeV

Total energy of photon:

= [2 × (375)] + [2 × ( 512.4 )]

= 1774.8 KeV

= 1.77 MeV.

Energy = hc/λ

or, λ = (6.626 × 10⁻³⁴) × (3 × 10⁸)

or, λ = 7.019 × 10⁻¹³ m

Thus, wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

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What is the frequency of the wave use 340 m/s as the speed of the sound wave?

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The frequency of the wave is 34Hz if speed of sound wave is 340m/sec and wavelength is 10Hz.

Frequency implies the amount of cycles in a particular unit of time. The support for why the sky is blue or anything contains assortment can be actually figured out by it. Besides, it can in like manner get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, repeat plays a significant impact on the notes of a piano or different instruments.

This number of occasions is verifiably a key property of a wave. The waves envelop people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Likewise, its assessment occurs in Hertz (Hz).

We know that for sound wave, there is a formula

c=ν×λ

where c is the defined as the speed of sound wave in any medium,

v is defined as the frequency of wave

and  λ is defined as the wavelength of the wave

So, we have speed(c) of sound waves=340m/sec

frequency(v)=? and wavelength(λ)=10m

=>340 = v×10

=>340/10=v

=>v=34/sec or

=>v=34Hz.

Hence, frequency of wave is 34Hz.

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(Complete question) is:

What is the frequency of the wave use 340 m/s as the speed of the sound wave and frequency of the wave is 10Hz?

a) parallax of vega is observed to be 0.13 arc seconds when observed from the standard base of 1 au. what is the distance to vega in parsecs? what is that distance in light years?

Answers

Parallax of vega is observed to be 0.13 arc seconds when observed from the standard base of 1 AU.

a) 7.713 parsec is the distance to vega in parsecs.

Thus, 25.15 light year is that distance in light years.

What is parallax?

When the distance is large enough that the parallax angle is very small, the parallax angle is proportional to the inverse of the distance (1/d). Conversely, if we can measure the parallax angle, we know that the distance to the object is proportional to the inverse of that angle.

Given that,

the distance between sun and vega = d

distance between sun and earth = L

angle (θ) = 0.13 arc second

θ = 0.13 × 0.000278°

θ = 3.61 × 10⁻⁵

tan θ = 1 AU /d

or, d = 1 AU / tan θ

or, d = 1 AU / tan (3.61 × 10⁻⁵)

or, d = 1.591 × 10⁶ AU

and 1 AU = 4.848 × 10⁻⁶ parsec

Thus, d = 7.713 parsec.

1 AU = 1.581 × 10⁻⁵

d = 25.15 light year.

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At a frequency ω1 the reactance of a certain capacitor equals that of a certain inductor.a. If the frequency is changed to ω2= 7 ω1,b. what is the ratio of the reactance of the inductor to that of the capacitor?c. If the frequency is changed to ω3=ω1/ 7,d. what is the ratio of the reactance of the inductor to that of the capacitor?

Answers

(a.) At frequency ω2, the reactance of the inductor will be 7 times the reactance of the capacitor. (b). The ratio of the reactance of the inductor to that of the capacitor is 7:1. (c.) At frequency ω3, the reactance of the inductor will be 1/7th the reactance of the capacitor. (d.) The ratio of the reactance of the inductor to that of the capacitor is 1:7.

a. When the frequency is changed to ω2 = 7ω1, the ratio of the reactance of the inductor to that of the capacitor is 1:7. This is because when the frequency increases, the reactance of the inductor increases while the reactance of the capacitor decreases.

b. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω2/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω2 = 7ω1 is 49:1.

c. When the frequency is changed to ω3 = ω1/7, the ratio of the reactance of the inductor to that of the capacitor is 1:49. This is because when the frequency decreases, the reactance of the inductor decreases while the reactance of the capacitor increases.

d. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω3/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω3 = ω1/7 is 1:49.

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a 0.460 kg mass suspended from a spring oscillates with a period of 1.50 s. how much mass must be added to the object to change the period to 1.90 s?

Answers

The mass must be added to the object to change the period to 1.90s is 0.428Kg.

What is the formula for time periods?

A thing's time period is the length of time needed for it to complete one oscillation. Any wave element's angle displacement in relation to time is known as its frequency. T is the period, and f is the frequency, and the formula for time is T = 1/f. equals c / f, where c is the wave speed (m/s) and f is the frequency (Hz).

A mass of 0.460 kg oscillates with a period of 1.90 s when it is suspended from a spring.

The time period's formula is provided by,

T = 2π √m/k ....(1)

K denotes the spring's constant, and m denotes the mass.

The new duration is specified by,

T' = 2π √m'/K....(2)

where K is the spring constant, and m' is the final total mass following the addition.

Subtract equation (1) from equation (2).

T/T' = √m/m'

Now change the previously mentioned expression with the known terms.

1.5/1.9 = √0.46/m'

To find the value of m', simplify the expression above.

m' = 0.5/0.5625

m' = 0.888kg

Now, we can calculate the mass that must be added to the object to make the period 1.90s:

m' = 0.889 - 0.460

m' = 0.428Kg.

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using flat plate theory, a ship is 125 m long with wetted area of 3500 square meters. propellers can deliver power of 1100 kw. neglect any wave drag. what is the maximum ship speed in m/s?

Answers

With a wetted area of 3500 square metres and a length of 125 metres, a ship can travel at a maximum speed of 7.2 m/s. Power output from propellers is 1100 kilowatt. Also disregarded is wave drag.

The speed of a change in an object's location in any direction. Speed is defined as the ratio of distance to the amount of time it took to cover that distance. Due to its lack of magnitude and merely having a direction, speed is a scalar number. Power is the quantity of energy that is transferred or transformed in a certain length of time. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings.

R is equal to 1025*125/0.00107 power, or 0.0217 v(1025/2).

V^2*3500\sV =7.2m/s

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A roller coaster is moving along the track. Complete the sentence that describes the conservation of energy. Mechanical energy is (conserved, not conserved) because the roller coaster (loses, gains) energy due to friction and air resistance as it travels down the track.

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Mechanical energy is not conserved because the roller coaster loses energy due to friction and air resistance as it travels down the track.

In a roller coaster, the energy changes from potential energy to kinetic energy and back again many times over the course of a ride.

As there are external forces acting on the system, the mechanical energy will not be conserved.

When the coaster moves down the track, the amount of available mechanical energy decreases throughout the ride because of the friction between the track and coaster and air resistance. These two forces absorb energy from the cart and transform it into thermal energy as well as sound energy, which is then lost to the surrounding.

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a car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 50 ft/s2. what is the distance (in ft) traveled before the car comes to a stop? (round your answer to one decimal place.) incorrect: your answer is incorrect. ft

Answers

It is assumed that,

Initial speed of the vehicle: u = 50 mph = 73.34 ft/s

Finally, it stops, or v = 0 (car deceleration, a = - 44 ft/s2).

The distance traveled before the car comes to a stop must be determined. Allow the distance to be s. The third law of motion can be used to compute it as:

v² - u² = 2as

s = v² - u²/ 2a

s = 0 - ( 73.34 ft / s )² ÷ 2 - {-44} ft/ s²

s = 61.13 ft

Therefore, the car travels 61.13 feet before coming to a stop. As a result, this is the necessary solution.

What is the formula for deceleration?

Deceleration is the opposite of acceleration. The deceleration will be computed by dividing the final velocity minus the initial velocity, by the amount of time is taken for this drop in velocity.

How do you find the stopping distance if the deceleration is constant?

If the deceleration is constant, we know that stopping distance is equal to the area under the v − t graph or D s = 1 2 × v × t s, where ts is the stopping time. So D s = 1 2 × 13.4[m / s] × t s[s] = 0.030 m.

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If the average kinetic energy of the molecules in an ideal gas initially at 20 degrees Celsius doubles, what is the final temperature of the gas?

Answers

The final temperature of the gas will be 40 degrees Celsius.

The average kinetic energy of gas particles is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

The temperature of a substance is directly related to its kinetic energy. Kinetic energy is the energy that a substance has because  its molecules are in motion, so when a substance absorbs heat, the molecules move faster and the  kinetic energy of the substance increases.

As the average kinetic energy of its particles increases, the  thermal energy of the object increases. Therefore, the thermal energy of an object increases as its temperature increases. Since the average Kinetic Energy has doubled, so has the absolute temperature.

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approximately how long after the big bang did the era of nucleosynthesis end, marking the time when the basic chemical composition of the universe was determined?

Answers

It took 5 minutes to establish the universe's primary chemical makeup.

What does nucleosynthesis mean?

Nucleosynthesis is the process by which new atomic nuclei are produced from pre-existing nuclei and nucleons (protons and neutrons). According to current beliefs, a process known as Big Bang nucleosynthesis took place a few minutes after the Big Bang to produce the first nuclei through nuclear reactions.

The significance of nucleosynthesis

Star nucleosynthesis offers hints on both stellar evolution and the distribution of matter across the cosmos in space-time. Chemical abundances inside the solar system, which attest to their abundance at the time of solar system creation, provide a probe to nucleosynthesis in our galaxy.

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your grandfather clock's pendulum has a length of 0.9930m. if the clock loses 26 s per day, how should you adjust the length of the pendulum? .

Answers

The pendulum's length should be decreased to 0.9840 m.

Given that, clock loses 26 s per day

Length of the pendulum = 0.9930 m

In a day there are, 24* 60* 60 = 86400 sec/day

We know the formula for time period as ,

T = 2π √(l/g)

⇒ 2π* √(0.9930 / 9.8) = 2.00005277 sec

Error ratio = 26/86400 = 0.00030093 = 3.009 * 10⁻⁴

T error = 2.00005277 * 3.009 * 10⁻⁴ = 6.0181 * 10⁻⁴

T correct = T original - T error

⇒ 2.00005277 - 0.00060181 = 1.99 sec

T = 2π √(L/g), where L is the new length

Making L as subject, we have,

L = g* T²/ 4π² = 9.8* 1.99² / 4* 3.14² = 38.81/39.44 = 0.9840

Thus, to obtain the correct time, reduce the length of the pendulum to 0.9840m.

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How much energy is stored in a spring when it is stretched 0.40 meters the spring constant is 50 nm the spring energy equation PES 1 2kx 2?

Answers

The energy stored in the spring is 4 j when it is stretched 0.40 meters; the spring constant is 50 nm.

Elastic potential energy to define is the potential energy stored in spring when it is stretched by an external force. The energy remains stored before force is removed.

The force that needed to stretch the elastic body is directly proportional to displacement, means extension. It is given as

F =kx

Wherein,

k = spring constant

x = displacement

The Elastic Potential Energy Formula of the spring stretched is given as

P.E. = 1/2 k[tex]x^{2}[/tex]

Where,

P.E = elastic potential energy and it’s expressed in Joule.

To calculate P.E. =1/2 ×0.5 ×0.4 × 0.4 j

                           = 4j

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the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. what effect, if any, does this have on the pressure and density of the sample of gas?

Answers

The pressure doubles and the density of sample of gas remains the same when the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume.

The effect of doubling the absolute temperature of a sample of a monoatomic ideal gas is that, the pressure doubles and density of the sample of gas remains the same.

According to ideal gas equation; PV = nRT; Where P is pressure and V is the Volume, n is the number of moles, R is the ideal gas constant and T is the absolute temperature.

Therefore, when the temperature of the mono atomic ideal gas is doubled, the pressure of the gas will also doubles.

However, in a closed chamber mass of the ideal gas is invariant, since density depends only on the mass and volume therefore the density of the ideal is gas will remain the same.

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. how long did the acceleration take?​

Answers

A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

What is acceleration?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

What three forms of acceleration are there?

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

What is acceleration?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

What three forms of acceleration are there?

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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How do you calculate the amount of energy in an elastic potential energy store?

Answers

The formula for calculating elastic potential energy stored in spring is elastic potential energy = 0.5 × spring constant ×extension square.

When an elastic body is deformed, energy stored in the body is called elastic potential energy. This energy gets stored in the object till the time it is deformed. When force is removed, this energy changes into kinetic energy.

An object that can store elastic potential energy has a high elastic limit. When an object is deformed beyond the elastic limit, it can not gain its shape after removing force.

The force that is needed to stretch the spring is directly proportional to its displacement. It is given as

F =k x

Wherein,

k = spring constant

x = displacement

The Elastic Potential Energy Formula of the spring stretched is given as

P.E. = 1/2 k

Where,

P.E = elastic potential energy and it’s expressed in Joule.

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A certain lever has a mechanical advantage of 5. 5. How heavy of a load could the lever lift with an input force of 20. 0 n?.

Answers

110 J, the lever lift with an input force of 20. 0 n is 110 J.

What do you mean when you say a "lever" has a mechanical advantage?

The solution:The ratio of a lever's effort arm to its load arm determines its mechanical advantage.This is also known as the lever principle.

How are effort and load determined?

The pulley's raised object is referred to as the load, and the force needed to lift it is referred to as the effort force.Inside the diagram, a pulley is used to raise a block of wood by applying a force F, also known as the effort force.The load is typically multiplied by the number on ropes to determine the effort.

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a space station of diameter 80 m is turning about its axis at a constant rate. if the acceleration of the outer rim of the station is 2.5 m/s2 , what is the period of revolution of the space station?

Answers

the period of revolution of the space station is 25.1 seconds.

Calculation :

acceleration ac=v2/r

velocity v=(2*pi*r)/T

therefore T2 = (4*pi²*r)/ac

                 = (4*pi²*40)/2.5  

                given, diameter = 80m  therefore  radius  r=40m

                 =  25.1 seconds

A space station is a spacecraft capable of supporting a human crew in orbit for long periods of time, and is therefore a kind of living space in space. No greater propulsion or landing system. An orbital station or orbital space station is a satellite (that is, a type of orbital spaceflight). A station needs a docking port so that other spacecraft can dock to transfer crew and supplies. The purpose of maintaining an orbital outpost varies by program. The space station was launched primarily for scientific purposes, but military launches have also taken place.

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a 4.0-m-long, 500 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. a 70 kg construction worker stands at the far end of the beam. what is the magnitude of the torque about the point where the beam is bolted into place?

Answers

The magnitude of torque about the point where the beam is bolted into place is 12544 Nm.

The length of the beam = l = 4 m

The mass of the steel beam = M = 500 Kg

Mass of the construction worker = m = 70 Kg

Torque of steel beam = T₁

Torque of worker = T₂

The magnitude of torque = T =

Torque is the force in a distance the relation is proportional so the torque of weight first is:

= Torque of steel beam = Force of steel beam X distance

= T₁ = F₁ X d

= T₁ = M X g X l

= T₁ = 500 X 9.8 X 4

= T₁ = 9800 Nm

Torque is the force in a distance the relation is proportional so the torque of weight second is:

= Torque of steel beam = Force of steel beam X distance

= T₂ = F₂ X d

= T₂ = m X g X l

= T₂ = 70 X 9.8 X 4

= T₂ = 2744 Nm

Net torque = T =

= T = T₁ + T₂

= T = 9800 + 2744

= T = 12544 Nm

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an anchor rope to anchor a ship to the pier is wrapped 2 full times around a support on the ship. a deck hand can keep the rope from slipping by applying a force of 100 n to the free end. what is the coefficient of friction between the rope and the support?

Answers

The coefficient of friction between the rope and the support is 0.34

What is the coefficient of friction?

The amount of friction between two surfaces is measured by the coefficient of friction, or. A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.

We have to solve this problem by making use of the Capstan's equation

The equation is given as:

[tex]T_{load } = T_{hold} e^u^o[/tex]

u is μ , the coefficient of friction

o is Φ

the load = 7000

the hold support is 100N

Φ = 2π for a complete rotation

given that the rope is wrapped for 2 times we would have Φ = 4π

then

[tex]7000 = 100e^u^4^\pi[/tex]

take the log of both sides

u = log7000 / 100*4π

u = 0.338

Hence the coefficient of friction from what has been calculated is 0.34

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how large a mass would have to be placed on top of the wooden block when floating in the water so that the block would be completely submerged, i.e. its top would be level with the surface of the water?

Answers

In the question, the floating level is known as upthrust. It happens due to the density of that object.

Upthrust is an upward force on an object (in this case the wooden block) provided by the liquid (water) as a result of it displacing some of the liquid. Thus floating objects will normally displace some part of the liquid; making some part of it to be submerged in water.

The percentage of the submerged wooden block can be calculated as

length (in height) of the wood block submerged in water/total length (in height) of the wood × 100

This concept is based on the density of the floating object.The concept of density seeks to measure the weight of an object in relation to its size. It is the measure of how packed together the particles of that object are.

An object placed in a liquid displaces a certain volume of the liquid, based on the relative density of the object and the liquid.

If an object is less dense than a liquid in which it is placed, it displaces a smaller volume of the liquid than its volume, hence only some part of the object will be seen to be under the liquid, the other part will float.

If an object is denser than the liquid in which it is placed, it displaces a larger volume of the liquid than its own volume, making the object to sink and is submerged.

Therefore, if the density of an object and the liquid into which it is submerged is the same. the object's mass per unit volume is the same as the liquid's mass per unit volume.

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For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at 30 degrees?

Answers

The slit width to wavelength ratio due to which the first minimum of single slit diffraction pattern appears = 1 : 0.5

According to the question, we know that we have to calculate the ratio of slit width to wavelength,

Given, A single-slit diffraction

The angle at which the diffraction pattern is occurring = 30°

Order of diffraction given  = 1 ( minimum )

We could calculate the path diffraction using the formula,

d sinθ = nλ ( minimum )

d sin 30 = 1 x λ

d / λ = 1 / sin 30

d / λ = 1 / 0.5

d : λ = 1 : 0.5

Therefore, the slit width to wavelength ratio due to which the first minimum of single slit diffraction pattern appears = 1 : 0.5

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a car has tires of radius 25 centimeters. as the car is accelerating from rest, the tires make 3 full revolutions and the car moves forwards by 3.5 meters. did the tires skid?

Answers

Answer:

No the car did not skid

Explanation:

What is kinetic friction?

Kinetic friction is all about trying to stop one surface from skidding against another surface. When you have two things such as the wheel and the ground sliding against each other, this is kinetic friction.

Given:

The distance cover by the car is 3.5 m

radius ,r = 0.25m

Hence ,

The disctance the car will cover :

s = revolution x 2πr

s = 3 x 2*(3.14)*0.25

s = 4.71 m

Thus the car should cover 4.71 m but it only completes 3.5m as per given scenario.

Hence , the car will not skid.

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Two bowling balls are rolling towards each other. The first has a mass of 5 kg and is rolling with a speed of
4 m/s to the right. The seconds has a mass of 6 kg and is rolling with a speed of 7 m/s to the left. After the
collision, the first bowling ball rolls away with a speed of 5 m/s to the left. How fast is the second ball
rolling after the collision?
a. 7.5 m/s
b. 6.2 m/s
c. 0.5 m/s
d. 0.9 m/s

Answers

Answer:

the answer is 0.5 m/s it's c

how does the difference between the ranges of the strong nuclear force and the coulomb force affect the makeup of each atom’s nucleus?

Answers

Because the range of the Coulomb force is longer, heavier atoms have more neutrons than protons.

What is  strong nuclear force?The force that holds protons and neutrons in atoms' nuclei is an example of the strong nuclear force. the substances heavier than an atom of hydrogen. the core of the sun's hydrogen and helium fusion.Quarks are constrained into proton, neutron, and other hadron particles by the strong interaction, also known as the strong nuclear force. The nuclear force, commonly known as the strong interaction, is what holds neutrons and protons together to form atomic nuclei.Because the range of the Coulomb force is longer, heavier atoms have more neutrons than protons.The nuclear force also known as the strong interaction binds protons and neutrons to form atomic nuclei.

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