a strechy material with a spring constant of 68.7 n/m is stretched 2.71 cm from its equilibrium length. what is the magnitude of the resulting spring force?

Heavy rain reduces your ability to see and be seen. So in daytime turn on all of the above ( d ) mentioned options.

Windshield wipers and windshield defroster are for the ability to see and the low beam headlights are for the ability to be seen by others. If it is night time drive below the speed limit because it is extremely hard to maneuver under those conditions.

Windshield wipers wipes the water off your windshield consistently. Low beam headlights indicate the presence of your car. Windshield defroster condenses the frosted windshield.

Therefore, in daytime turn on your windshield wipers, low beam headlights and windshield defroster.

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When a material is reflective, it would cause the light that meets it to bounce off while a transparent material would make the light to pass through it.

Light is a form of energy that produces a sensation that is visible to the optical eye. We know that a material is said to be transparent if the material can allow light to pass through it. A material is said to be reflective when it bounces off the rays of light that fall on it.

We can see that when light interacts with the transparent material, the light can pass through the material. If the light interacts with the reflective material then the light rays are seen to bounce off the light rays.

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The magnitude of smaller and larger radius is 45mm and 90mm respectively.

Using lens makers formula:

1/f = (n-1) (1/ [tex]r_{1}[/tex] - 1/ [tex]r_{2}[/tex])

where n is the index of refraction, [tex]r_{1}[/tex] and f is the focal length and the curvature's radius of the first surface the light touches, and [tex]r_{2}[/tex] is the second's radius of curvature. The radius of one surface is two times that of the other,  such that one is concave to the incoming light and the other is convex.

Plugging in the values we get:

1/f = (n-1) (1/ [tex]r_{1}[/tex] + 1/ [tex]2r_{1}[/tex])  = 3(n-1) / 2[tex]r_{1[/tex]

(a) For magnitude of smaller radius:

3(n-1)f / 2 = 3(1.5-1)(60) / 2 = 45mm

(b) For larger radius:

[tex]r_{2} = 2r_{1}[/tex] = 90mm

Therefore, the magnitude of smaller and larger radius is 45mm and 90mm respectively.

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Gravitational potential energy is converted to kinetic (Motion) energy when the object begins to move.

The energy gained from this change in position is stored within the body as gravitational potential energy if a ball is raised from the ground to a height above the earth. The gravitational potential energy is then converted into kinetic energy when the ball hits the earth.

Therefore, the way an object falls, its gravitational potential energy is said to be transformed or altered  into the kinetic energy of motion.

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Answer: The wall and base

Explanation:

The truth that Voyager maintains to hurry out of the sun system, despite the fact that its rockets haven't any fuel, is an instance of Newton's first regulation(law) of movement.

Newton's first regulation states that each item will continue to be at relaxation or in uniform movement in a immediately line except pressured to extrude its kingdom via way of means of the movement of an outside force. This tendency to withstand modifications in a kingdom of movement is inertia. The 3 legal guidelines of movement have been first said via way of means of Isaac Newton in his Philosophie nutralize Principia Mathematica (Mathematical Principles of Natural Philosophy), firstly posted in 1687.

Newton used them to research and provide an explanation for the movement of many bodily gadgets and systems, which laid the muse for classical mechanics. In the time seeing that Newton, the conceptual content material of classical physics has been reformulated in opportunity ways, concerning unique mathematical techniques which have yielded insights which have been obscured withinside the original, Newtonian formulation.

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The magnitude of the rod's angular momentum is 165.92 [tex]Kg m^{2} s^{-1}[/tex].

The moment of inertia for the rod through an axis 'perpendicular' to one of its ends is given by :

[tex]I=\frac{Ml^{2} }{3}[/tex]                 (where M = mass of rod , l = length of rod)

Now, the angular momentum of the rod is given by;

L= Iω

  = [tex]\frac{Ml^{2} }{3}[/tex]×ω

  =[tex]\frac{12.7Kg * (3.15 m^{2})}{3}[/tex]* [tex]3.95 rad s^{-1}[/tex]

  = 165.92 [tex]Kg m^{2} s^{-1}[/tex]

∴ The required angular momentum is: 165.92 [tex]Kg m^{2} s^{-1}[/tex]

As the rotating equivalent of linear momentum in physics, angular momentum (rarely a moment of momentum or rotational momentum) is used. It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity. The magnitude and direction of angular momentum are both conserved. The conservation of angular momentum is responsible for the useful characteristics of bicycles, motorcycles, frisbee-lead bullets, and gyroscopes. Hurricanes develop spiral structures and neutron stars rotate rapidly due to the conservation of angular momentum. Conservation generally sets a limit on a system's potential motion but does not determine it in any way.

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a) maximum speed (umax) that the missile could achieve in level flight = 2123 m/s

b) velocity of the gas exiting the nozzle (i.e., ue) at this maximum operating flight speed = 2120 m/s

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

Given data:

Pressure ratio = 45.5

TSFC = 5.27 * 10⁻⁵ kg/N

Cp = 1150 J/Kg

Wair = 25.5

Ta = 240K

Δhe = 4.4 KJ/kg

Tmax = 2200 K

(a) Maximum speed (Umax):

Ramjet's energy equation:

T₀₂ = Ta + (μ² / 2μ)

[tex]Umax = \sqrt{2Cp (Tmax - Ta})[/tex]

[tex]Umax = \sqrt{2* H50(2200 - 240)}\\ \\Umax = \sqrt{2 * 1150 * 1960}[/tex]

Therefore, Umax = 2123 m/s

(b) Velocity of exiting gas (Ue)

No fuel is provided, thus air expands back to its initial speed i.e., (Ue = U)

The specific thrust = [1 + f] Ue - U = 0

Therefore, Ue = 2120 m/s

(c) T-S diagram of Ramjet cycle:

The T-S schematics for Ramjet at U < Umax and U = Umax are based on the aforementioned two components ( 'a' and 'b')

Ramjets' maximum operating speed is significantly constrained by their maximum operating temperature.

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A student learns that a certain comet in the solar system is considered a short-period comet The comet originates in the Kuiper belt is the student most justified in concluding.

The Sun and the things that circle it make up the gravitationally bound solar system. It was created 4.6 billion years ago when a massive interstellar molecular cloud collapsed because to gravity. The Sun is the system's primary mass source, while Jupiter is home to the majority of the system's leftover mass. Our Sun is called Sol after the Latin word for Sun, "solis," and anything connected to the Sun is referred to as "solar" as a result. The only known example of a habitable planet, the only star we can see up close, and the only planets we can explore with spacecraft are all found in the Solar System. Understanding the genesis and evolution of planets depends on solar system study.

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a) The amount of work done is equal to the amount of energy used.

b) Power is the rate of energy use/work done .

c) The greater the work done. The greater the power needed.

d)  The two factors that affect the amount of work done are force and displacement .

 Energy is the ability to perform work. Work and energy are related in that an increase in work results in an increase in energy, and vice versa. Power is defined as the rate at which work is completed or the amount of work completed per unit of time. Power is also defined as the rate at which  energy is supplied to the system.

Power depends mainly on the amount of work done as well as the time  taken by the body to perform the work.

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The current in the loop will be 6.13 A.

The magnetic field is the area in and around a magnet that is subject to the effects of magnetism. We employ the magnetic field as a tool to describe the distribution of the magnetic force in the vicinity and inside something magnetic in nature.

According to the question,

Radius of loop,

r =5.5 cm or,

r  = 0.055 m                          

Earth's magnetic field,  = 0.7G = 0.7 × 10⁻⁴ T

Number of turns, N = 1

We know the relation,

B = µ₀ ×N×I/2r

B = [tex]B_{e\\}[/tex]

then,

[tex]B_{e\\}[/tex] = µ₀ ×N×I/2r

By substituting the values,

0.7 × 10⁻⁴ = 4π × 10⁻⁷×1 × I / 2× 0.055

hence,

The current will be

I = 2× 0.055 × 0.7 × 10⁻⁴/ 4π ×10⁻⁷×1

I = 6.13A

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Answer:

true

Explanation:

a) Yes the ball clear it. Through, equation of motion is 1.104 m > 0.9 m

b) The distance between the center of the ball and the top of the net is 0.204 m

a) As we know the equation of motion,

  y = 1/2(at^2)

   y= 1/2 (9.81)(0.508)^2

  y = 1.266 m

height = Y net - y

h = 2.37m - 1.266m

h = 1.104m

b)

 height in y direction - net height

 = 1.104m - 0.9m

 = 0.204m

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A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°, then the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.

The horizontal component of the velocity = 21 × cos51 = 15.58 m/s

The vertical component of the velocity = 21 × sin51 = 14.07 m/s

Thus, the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

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a. (ii) Savery engine - The boiler could not withstand the steam pressure needed to lift water beyond 6 m.

b. (i) Gun powder engine - The engine had no mechanism to move the piston back to complete a cycle.

c. (iii) Newcomen engine - The continual reheating needed after each cooling of the engine cylinder required a tremendous amount of thermal energy.

d. (iv) Watt engine - This engine was large and massive and less efficient than thought possible.

Explanation:

a. Creating a lower vacuum in Savery engine causes more water to evaporate and limits the pressure differential. Practically, Savery's device was limited to 20-25 feet of suction (20 feet = 6 m).

b. The explosion of gun powder, in the gunpowder engine, forces the piston upwards for the gas to escape from the tube. Gravity and air pressure then pull the piston back. It then lifts another weight when it reaches the bottom, it explodes again and the cycle restarts.

c. The Newcomen engine operates by condensing steam drawn into the cylinder, thereby creating a partial vacuum which requires continual reheating after each cooling and a tremendous amount of thermal energy.

d. Watt's engine was able to convert around 2% of the thermal energy in steam to work. Later, the efficiency of this engine was increased to approximately 17%.

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Coefficient 2  should be placed in front of HCl to balance  the given chemical equation.

Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.

A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .

The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.

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Stephen Hawking, speaking at the opening of the 2012 London Paralympics games, said, “There is no such thing as a standard run-of-the mill human being and however difficult life may seem but there is always something you can do, and succeed at.”

Stephen Hawking was born on 8th January, 1942, Oxford, England. He died on March 14, 2018, Cambridge. He was that theoretical physicist whose theory of exploding black holes drew upon both relativity theory and quantum mechanics. He had also worked with space-time singularities.

Hawking was also awarded the US Presidential Medal of Freedom in year 2009.

At the age of 21, Hawking was diagnosed with amyotrophic lateral sclerosis that gradually paralyzed him. Stephen Hawking had an estimated IQ of 160. According to Healthline, 68% of people have an IQ that ranges between 85 and 115.

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A car with a mass of 1,060.0 kg accelerates from 0 to 88.0 km/h in 10.0 sec .The net force (in n) on the car during its deceleration is F = 7812.5 N.

Given

m= 1000 kg

u= 0 m/s

V = 90 km/h = 25m/s

t = 10 sec

a)by equation of motion :

v = u+at

25 = 0+ ax10

a = 2.5 m/c2

( b )By newton's law;

F= m*a

F=100X 2.5

F =2500N

( C )

u= 25m/s

V = 0

S = 40m

by equation of motion ;

v² = u²+2as

0=25²+80a

a=-7.8125 m/s²

by newton's law

F= m*a

F= 1000X 7.8125

F = 7812. 5N

A higher level motion control operation than velocity control is the control of acceleration and deceleration. Given that torque is the result of inertia and rate of altered speed, the system's forces will be affected by the rate of acceleration or deceleration. Any force calculation of this kind must take into account the actuator's or motor's inertia because it can significantly affect the torque needed. Control performance will also be impacted by the acceleration or deceleration profiles used. A motor needs linear acceleration in order to transition smoothly from one velocity to the next until the desired speed is reached. The rates of change, on the other hand, depend on both position and velocity when acceleration follows a non-linear, curved profile.

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A truck is traveling at a constant velocity of 30 m/s. It  will take the time to travel 1000 meters is (t)=33.33 S.

The velocity means the ratio of distance and time. Mathematically it means the distance divided by time. It can be measured in m/s and cm/s.

To calculate the time we are using thee formula here is,

S=vt

Or, t=S/v

Here we are given,

S = The covered distance of the car = 1000 m

v= The velocity of the car. = 30 m/s.

We have to calculate the time taken by truck = t

Now we put the values in the above equation, we get

t=S/v

Or, t=1000/30

Or, t=33.33 S

From the calculation we can say that,  It will take the time to travel 1000 meters is (t)=33.33 S.

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The speed of the baseball after this elastic collision is 35.825 m/s

In an elastic collision is one in which no net loss of kinetic energy in the system is observed after collision. Elastic collisions conserve, momentum and kinetic energy. It works on the basis of the law of conservation of momentum. This may be explained by following equation:

Pₙ = P₁ + P₂

mₙvₙ = m₁v₁ + m₂v₂

Where, Pₙ = final momentum

mₙ = total mass of the system

vₙ = final velocity of the system

For the given question:

(m₁ + m₂)vₙ = m₁v₁ + m₂v₂

(0.145 + 0.95)vₙ = (0.145 × 40) + (0.95 × 35)

1.09 vₙ = 5.8 + 33.25

1.09 vₙ = 39.05

vₙ = [tex]\frac{39.05}{1.09}[/tex]

vₙ = 35.825 m/s

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Radially outward is both the direction and magnitude of the inertial force. as it is moving uniformly in a circle, from the bob's frame. Radially emanating from the source of the charge is an electric field that is positively charged.

Radially outward means  This is so because an electric field is produced when a positive charge is forced by the field. The electric field pulls the positive charge with a force that is directed away from the charge's origin. It is called  Radially outward.

In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition.

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The correct answer is option C:

According to modern ideas and observations, the location of the center of our expanding universe explains that the universe does not have a center.

Our universe is composed of three kinds of substances that are dark matter, normal matter, and dark energy.

Everything in the universe is made of normal matter i.e. planets, stars, human beings, and all other visible objects.

Astronomers have theorized that the universe is expanding at a faster rate. Between any two given points, the distance of the universe is increasing and so we can predict that the universe will be 2x in size after ten billion years.

In general, the universe has no central point and it is expanding continuously because of a dark, mysterious force that is pulling the universe apart.

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The spring's maximum compression is 0.346 when mass of the block is 0.230 Kg and Speed is 1.40 m/s.

given,

mass of block = 0.230 Kg

speed = 1.40 m/s

spring constant = k = 3.75 N/m

using conservation of energy

a) K.E  =  P.E

1/2mv^2=1/2kx^2

1/2*0.23*1.40^2=1/2*3.75*x^2

X^2=0.120

X=0.346

b) The maximum compression will be equal to the compression in part an if the track is not friction-less.

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Answer:

a black or dark viscous substance obtained as a residue in the distillation of organic materials and especially tars

Explanation:

To determine the coefficient of lift of an aircraft in sluf, we must also know the angle of attack.

What is aircraft?
A vehicle that can fly by gaining support from of the air is called an aircraft. It uses either static lift, dynamic lift from an airfoil, or, in a few rare instances, the downward thrust from jet engines to counteract the force of gravity. Aeroplanes, helicopters, airships (including blimps), gliders, paramotors, as well as hot air balloons are a few examples of common types of aircraft. Aviation refers to the human activity which surrounds aircraft. Aeronautics is the study of aviation, which includes creating and building aircraft. Unmanned aerial vehicles may well be remotely controlled as well as self-controlled by onboard computers, unlike crewed aircraft that have an onboard pilot. Different factors, including lift type, aircraft propellant, usage, and others, can be used to categorise aircraft.

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The reference frame in which the bat is at rest immediately before the collision is the reference frame in which translational (nonconvertible) kinetic energy is greater.

As translational (nonconvertible) kinetic energy is greater when the bat is at rest because when it will be at rest the mass will be more. The translational dynamic energy of a body is rise to one-half the item of its mass and the square of its speed.

The translational kinetic energy depends on movement through space, and for an inflexible body of consistent mass, it rises to the item of half the mass times the square of the speed.

The movement of an unreservedly falling body could be a translational active vitality. Kinetic rangy at a pivoting fan is rotational kinetic energy.

In material science, the dynamic energy of a protest is the vitality that it has due to its movement. It is characterized as the work required to quicken a body of a given mass from rest to its expressed speed.

Having picked up this vitality amid its speeding up, the body keeps up this motor vitality unless its speed changes. The same sum of work is done by the body when decelerating from its current speed to a state of rest.

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A star's twinkling is caused by light from the star being refracted by the earth's atmosphere.

What is stars?
An astronomical object known as a star is made up of a luminous plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth. Other stars are also visible at night with the unaided eye, but due to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms. Star catalogues have been put together by astronomers that list the known stars and offer standardised stellar designations. An estimated 10^22–10^24 stars are present in the observable universe. Only 4,000 of these stars can be seen with the unaided eye, and they are all located in the Milky Way galaxy.

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When a mass attached to a spring, it will make the spring to produce a harmonic motion with frequency 1.4 Hz. Then the mass is 77.48 gram.

The frequency of a harmonic motion caused by a displaced spring is:

f = 1/2π . √(k/m)

Where:

k = spring constant

m = mass

Parameters given from the problem:

f = 1.4 Hz

k = 6 N/m

Plug those parameters into the formula:

1.4 = 1/2π . √(6/m)

√(6/m) = 8.8

m = 0.07748 kg = 77.48 gram

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Work done on the ball by its weight is  +25.872 J .

What is work done by gravity ?

Gravity is that force which pulls objects to the ground. There is a force that acts, so basically gravity acts. When you apply a power to an item, that power works for you. For example, if you throw a ball, the force on the ball will cause it to travel far and complete the task. Work is proportional to the applied force and the distance it covers or covers. For example, if you throw a ball with less force, the distance it travels will decrease proportionally to the force applied. Throwing the ball with more force increases the flight distance. Falling particles are forced to face the direction of gravity. The mass, the gravitational constant, and the height at which the falling object falls determine how large the falling object will be.

Work done by gravity is :

W= mg(h2-h1)

  = (0.500)(9.80)(6.90-1.62)

  = +25.872 J .

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Answer:

a

Explanation:

because if gas particles move they move with speed and that is because they are free,so when they bump into something,they bump into it with force so it converts the energy