a spring has a force constant of 100 n/m and an unstretched length of 0.07 m. one end is attached to a post that is free to rotate in the center of a smooth table, as shown in the top view above. the other end is attached to a 1 kg disc moving in uniform circular motion on the table, which stretches the spring by 0.03 m. friction is negligible. 10. what is the centripetal force on the disc? (a) 0.3 n (b) 3n (c) 10 n (d) 300 n (e) 1,000 n 11. what is the work done on the disc by the spring during one full circle?

The most practical application of sonar is measuring the distance between objects in the ocean.

option A.

Sonar is a technique that uses sound propagation to navigate, measure distances, communicate with or detect objects on or under the surface of the water, such as other vessels.

So basically, sonar is applied under water to measure the distance of objects such minerals, vessels , etc.

Thus, we can conclude that the most practical application of sonar is found under water, for measuring the distance between objects in the ocean.

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The frequency and time interval are 2 seconds and 0.5 Hz, respectively.

One oscillation: The oscillating body moves completely back and forth in a single motion, or oscillation.

The frequency is the number of vibrations the body makes in a second.

Time span: This is the amount of time it takes a body to complete one oscillation.

Time period is equal to how long the pendulum swings over how many oscillations it makes.

20/10=2s

Frequency =1/Time 1/2 = 0.5Hz

In light of this, the time interval and frequency are 2 seconds and 0.5 Hertz, respectively.

How frequently a periodic wave shape or signal repeats itself at a specific amplitude is expressed as frequency. It can be measured in hertz, kilohertz, megahertz, etc.

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The angle between the incident and reflected beam is 46° when a beam of light strikes a mirror at angle of 23° to the normal.

Given the angel of incidence (∠i) = 23°

Since the beam of light strikes the mirror at normal it is the angle of incidence. The incident ray's angle with the normal at the point where it contacts the mirror surface is used to calculate the angle of reflection.

From mirror laws we know that the angle of incidence is equal to the angle of reflection. Then, ∠i = ∠r

Hence, as angle of incidence is 23° and the angle of reflection is 23° . So, the angle between the incident ray and the reflected ray is 23° + 23° = 46°.

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When a volleyball is tossed over a net, starting from a height of 1.5 meters above the ground, where  after reaching the top of its trajectory it returns to its original height as it falls, the ball's speed is the same as when it was tossed, but its velocity is different.

As ball 1 gets to the top of its trajectory, its velocity becomes zero.

since not stated otherwise, we assume that both balls have the same properties

If ball 2 is released at this instance, then they both will travel down at the same time interval and have initial velocity as zero.

since vertical travel is downwards, then acceleration due to gravity g is positive for both balls.

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The lowest recorded air temperature at the surface of the Earth was a measurement of −89.2°C made at Vostok station, Antarctica, at 0245 UT on 21 July 1983. Here we present the first detailed analysis of this event using meteorological reanalysis fields, in situ observations and satellite imagery.

What is meant by temperature?

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The reference height form the ground level is 30.6m.

Let us note that when we are talking about the gravitational potential energy, we would have to look at the energy that is possessed by the object because the object is placed at a given height on earth.

Now, we have to note that the gravitational potential energy of the object can be obtained by the use of the formula;

E = mgh

E = gravitational potential energy

m = mass of the object

g = acceleration due to gravity

h = height

Then;

2.4 =  0.008 * 9.8 * h

h = 2.4/0.008 * 9.8

h = 30.6m

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The signs of the charge qX on X is positive and qY on Y is positive after ball carrying the negative charge is removed and the balls X and Y are separated.

At the time when the third ball carrying a negative charge is brought near the first two, it gets polarized such that X contains +ve charge and Y contains a +ve charge.  After this the ball X is connected to the ground when  the positions of these balls are fixed and the electron move up from the ground. After that the ground wire should be disconnected. The ball carrying the negative charge is removed and the ball X and Y are separated. Due to this the electron has cancelled the net +ve charge on Y. Hence the charge on both X and Y is positive.

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The driving frequency that will set up a standing wave with five equal segments is 600 Hz.

It is given that frequency observed for a stretched string with four equal segments in a standing wave is 480Hz.

That is,  f₄ = 480 Hz

      Fundamental frequency, f₀, can be calculated as,  

              f₀ = [tex]\frac{480}{4} = 120 Hz[/tex]

Therefore, the driving frequency that will set up a standing wave with five equal segments, f₅, is

            f₅ = f₀ × 5

            f₅= 120 × 5

            f₅ = 600 Hz.

Hence, the driving frequency, f₅, is 600 Hz.

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A significant burn can happen in as little as five seconds at a hot liquid's temperature climb to 140° F.

Is the water hot at 140 degrees Fahrenheit?

A major reason to keep hot water at 120 degrees, especially if you have young children, is because hot water exceeding 140 degrees can potentially cause scorching. Scalding can have serious consequences and is more likely to happen to children and elderly people.

What is temperature?

Temperature is a measurement of how hot or cold something is on a specific scale.

What temperature causes the skin to burn?

According to studies, a full-thickness skin burn can occur at a temperature of 52 degrees Celsius (125 degrees Fahrenheit) in 2 minutes and a temperature of 54 degrees Celsius (130 degrees Fahrenheit) in 30 seconds.

Burn Exposure chart

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It just takes five seconds or less for a major burn to develop when a hot liquid is raised to a temperature of 140° F.

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A) The electric field at 1.0 cm above the center of the sheet is 2.5 × 10⁵ N/C, B) the electric field 15 m above the center of the sheet is 11 N/C.

Side of the square sheet, l =25 cm = 0.25 m

Uniformly distributed charge, Q = 275 × 10⁻⁹ C

ε₀ = 8.8 × 10⁻¹²

a) When close to the sheet, we assume it as an infinite sheet, So,

E = σ/2ε₀,

σ = Q/l²

E = Q/(2ε₀l²)

E = (275 × 10⁻⁹)/(2×8.8 × 10⁻¹²×0.25²)

E = 2.5 × 10⁵ N/C

B) When far from the sheet, we assume it as a point charge, if R = 15 m

E = Q/(4πε₀R²)

E = (275 × 10⁻⁹)/(4π×8.8 × 10⁻¹²× 15²)

E = 11 N/C

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The same power plant could supply approximately 270,000 homes if the average electricity consumption rises to 1,200 kWh/month in the summer.

This is due to the fact that there is now a significant increase in the demand for electricity, which must be met by power plants.

500 mW x 24 hours/day x 30 days/month x 0.9 = 324,000 MWh/month.

The number of homes that the same power plant can serve, however, may vary based on how much electricity each household has.

324,000 mWh/month x 1,000 kWh/MWh = 324,000,000 kWh/month.

324,000,000 kWh/month/1,200 kWh/month/home = 270,000 homes.

The number of homes that can be served by the same power plant in hotter parts of the United States may rise significantly if air conditioning is kept up.

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Heat rates, thermal efficiencies, capacity factors, load factors, economic efficiencies, operational efficiencies, and energy efficiencies are all elements in power plants. A power plant's performance may be expressed using several typical performance factors: heat rate (energy efficiency) and thermal efficiency.

Water, light, temperature, and nutrients are the four most important factors influencing plant development. You might be asking where dirt comes into all of this. Plants may grow without soil using a technique known as hydroponics. Plants, on the other hand, cannot grow if they are not provided with the necessary nutrients.

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When the ball is halfway to the ground (i.e. at height h/2), is its kinetic energy is more than, its maximum kinetic energy.

Air exerts a force known as air resistance. Like a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile would be able to move more quickly than a truck with a flat front.

Air resistance is what generates this force. The force of air resistance slows an object's descent to the ground more as its mass decreases. Regardless of how much their masses differ, if two items were put on the moon, where there is no air, they would fall at the same rate.

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The magnitude of the force that the curler is exerting on the stone (ii) greater in Case B

Thus Force is directly proportional to acceleration of an object.

Here , Case (B) has higher acceleration. So, It will have greater force.

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The measurement have 4 significant figures. Hence, option (b) is correct.

The number that is given as digits is established using significant figures. A meaningful representation of numbers is carried by these digits.

Frequently, significant digits are employed in place of figures. By counting all of the values beginning with the first non-zero digit on the left, we may determine the number of significant digits.

The certain chemical reaction produces 0.0450grams of product.

In 0.0450, there have 4 significant figures.

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Answer: The answer is 3 sig figs, option A

Explanation:

The statement that the direction of a vector can be different in different coordinate systems, is true.

It can be possible to add a coordinate system to a vector and identity components of that vector in that particular system, but the orientation and the type of the coordinate system with the respect to the vector can be different. The choice of a particular coordinate system usually does not change the direction of the vector.

However the magnitude of a vector may or may not be different in different coordinate systems. It is possible to attach a scalar to a vector. A  vector may have its magnitude equal to zero while having one of its components is nonzero. The direction of a vector can be different in a different particular coordinate system.

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The initial speed of the bullet before striking the basket of mass 1 kg is 1.98 m/s. Speed of each bullet is given below

To determine the mass of the ball and basket of the ballistic pendulum using a balance, you can simply weigh the pendulum and record its mass.

To calculate the initial speed of the pendulum after the ball has collided with the pendulum basket, you can use the conservation of energy. The initial kinetic energy (KE) of the ball is equal to the final kinetic energy of the pendulum (ball and basket combined), and the initial gravitational potential energy (GPE) of the ball is equal to the final GPE of the pendulum. The equation for KE is KE = 1/2mv^2, where m is the mass of the ball and v is its velocity. The equation for GPE is GPE = mgh, where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the pendulum at its maximum displacement.

Using the values for mass, height, and velocity, you can set up the conservation of energy equation as follows:

1/2mv^2 + mgh = 1/2(m + M)v_f^2 + (m + M)gh_f

where m is the mass of the ball, M is the mass of the pendulum basket, v is the initial velocity of the ball, v_f is the final velocity of the pendulum, h is the height of the pendulum at its maximum displacement, and h_f is the height of the pendulum at its maximum displacement after the collision.

Solving for v, we get:

v = sqrt(2gh)

Next, you can use the conservation of momentum to determine the initial speed of the ball before it collided with the pendulum basket. The conservation of momentum states that the total initial momentum of an isolated system is equal to the total final momentum of the system. The equation for momentum is p = mv, where m is the mass of the ball and v is its velocity.

Before the collision, the momentum of the ball is simply equal to its mass times its velocity:

p_i = mv

After the collision, the momentum of the pendulum is equal to the mass of the ball plus the mass of the pendulum basket times the final velocity of the pendulum:

p_f = (m + M)v_f

Setting the initial and final momenta equal to each other and solving for v, we get:

mv = (m + M)v_f

v = (m + M)v_f / m

So, by measuring the mass of the ball and basket, the maximum height of the pendulum, and the final velocity of the pendulum, you can use the conservation of energy and conservation of momentum to determine the initial velocity of the ball and the pendulum.

Speed of each bullet depending on the mass are:-

          m (kg)    v (m / s)

            0.05      41.58

            0.10       21.78

            0.15       15.18

            0.20      11.88

            0.25       9.90

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Question - Using a balance, determine the mass of the ball and basket of the ballistic pendulum. Fire the ballistic pendulum and measure the maximum height the pendulum reaches. Use the conservation of energy (initial KE + initial GPE = final KE + final GPE; KE = ½mv2; GPE = mgh) to calculate the initial speed of the pendulum after the ball has collided with the pendulum basket. Next, use the conservation of momentum (total initial p = total final p; p = mv) to determine the initial speed of the ball before it collided with the pendulum basket.

The body does this by transferring the heat from the interior of your body. 0.2104 J/K is heat transfer change the body’s entropy each second

The following formula can be used to determine the change in entropy caused by heat transfer:

S = Q / T, where S is the entropy change,

Q is the heat transferred, and

T is the heat transfer temperature. The temperature is 30°C (303 K) and the heat transfer rate is 64 J/s in this instance.

ΔS = [tex]\frac{64}{303}[/tex] = 0.2104 J/ K

It is essential to keep in mind that heat transfer from the body to the skin is not reversible, resulting in an increase in the body's entropy.

The thermodynamic property entropy measures a system's disorder or randomness. It is related to the number of possible microstates (or ways in which a system can be arranged) that correspond to a particular macrostate (or observable state) of a system. It is frequently used to describe the degree of randomness or disorder within a system. The second law of thermodynamics states that systems tend to progress toward a state with greater entropy.

The International System of Units (SI) defines entropy as having Joules per Kelvin (J/K) units. Because it is a state function, the change in entropy only depends on the system's initial and final states, not on how the system got from one state to another.

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Answer:

Below

Explanation:

The trailing edge has to fall 6.14 inches   ( mass is irrelevant)

 d = 1/2 a t^2

 6.14/12  ft   = 1/2 (32.2  ft/s^2 )(t^2) shows   t = .178 s

The order of magnitude describes a relative larger or smaller quantity. Find out what a molecule means by orders of magnitude and how they are determined.

In different situations, the term "order of magnitude" is also employed more loosely. Simply said, the phrase can refer to something that is much larger or smaller, a very huge or little number, a small or large volume of something, etc.

A number pf powers of 10 or even the numbers of power of 0.1 inside a negative number determines the order of magnitude. Ordinarily, an order of magnitude was expressed as 10 to a nth power. The order in magnitude is represented.

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The force particle b exerts on a is -2.72 N to the left.

The force particle b exerts on a can be determined by using Coulomb's law, which states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Since the charges of the particles are the same, we can assume that the force is proportional to the inverse of the distance squared. By increasing the distance between the particles from 13.0 mm to 18.5 mm, we can assume that the force has decreased.

Using the formula F = k(q1*q2)/r^2, we can calculate the new force by substituting the new distance and assuming the charges are equal. Since the force was 2.72 N to the right, and the distance has increased, the force particle b now exerts on a would-be -2.72 N to the left.

This is because the force is inversely proportional to the distance squared, and since the distance has increased the force has decreased.

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The instantaneous speed at the instant you turn around to move in the opposite direction is (b) always zero.

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Mutations occur in the genetic material due to alterations in the sequence of nucleic acids of the genome. Mutations are harmful as they lead to many disorders and conditions which are life-threatening.

A mutation can be defined as an alteration in the sequence of nucleic acids of the genome of a living organism, virus, or the extrachromosomal DNA material such as the mitochondrial DNA or the chloroplast DNA. Viral genomes are different from that of other living organisms as they contain either DNA or RNA as genetic material.

The guanine-thymine (G-T) mutation is the single most common mutation which occurs in the DNA of human. This mutation occurs about once in every 10,000 to 100,000 base pairs in the DNA.

Mutations are of different types. From which, the deletion mutations are opposite types of point mutations. These mutations involve the removal of a base pair from the sequence. Both of these mutations lead to the creation of one of the most dangerous type of point mutations which is known as the frameshift mutation.

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The extensive property among the following is mass. So, option A) is correct.

The property of a material known as the widespread property is dependent on the mass (or amount of matter) of the substance. Mass is the extensive property solely in the possibilities that are presented. Other than mass, all other attributes are independent of mass.

Divide the substance in half to determine the extensive property quickly and easily. It depends on mass and is an extensive property if it also applies to both of the separate portions. When a property remains constant for each half, it is said to be an intense property and is independent of mass. Examples of an intensive property include density, temperature, pressure, etc.

Hence, the answer is mass.

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The final temperature of the whisky is  10.95∘C when 55.0g of whisky at 22∘C room temperature, and then three stones to cool it are added.

Given the mass of whisky (m1) = 55g = 55x10^-3kg

Initial temperature of whisky (T1) = 22∘C

The final temperature of mixture = T

The mass of stone cube (m2) = 32g = 32x10^-3kg

The temperature of stone (T2) = -11∘C

The specific heat of stone is (Cs) = 980J/kg.K

The specific heat of whisky is (Cw) = 3400J/kg⋅K

Let the number of stones = 3

Following the combination, the stone cube gains hatred while the whisky loses heat.

Let the heat lost by whisky = Qw

Qw = 55 x 10^-3 x 3400J/kg⋅K x (22 - T)

Qw = 187(22 - T)

Let the heat gained by stones = Qs

Qs = 3 x 32 x 10^-3 x 980J/kg⋅K x (T-(-11))

Qs = 94.080(T+11)

We know that Qw = Qs such that

187(22 - T) = 94.080(T+11)

4114 - 1034.88 = 94.080T + 187T

T = 3079.12/281.08 = 10.95∘C

Hence the final temperature of the drink is  10.95∘C

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The amount of energy transferred as light is 73.5 J (350 J x 21%).

A lumen is a unit of size for the quantity of mild that is emitted through a source. Lumens are frequently used to evaluate the brightness of different light sources. The efficiency of a mild bulb is regularly measured in phrases of the quantity of lumens in line with watt of electricity fed on. A light bulb that has a higher lumen output consistent with watt is considered to be more green. As an example, a mild bulb that produces one hundred lumens in step with watt is more efficient than a light bulb that produces eighty lumens in line with watt. That is because it produces greater light according to unit of electricity fed on.

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An electric light bulb has an efficiency of 21% 350 J of energy contains the 73.5 J  of energy transferred as light.

Amount of energy transferred by light =( 21/100)×350

                                           = 2.1 × 35

                                                = 73 .5 J

A lumen is a unit of size for the quantity of mild that is emitted through a source. Lumens are frequently used to evaluate the brightness of different light sources. The efficiency of a mild bulb is regularly measured in phrases of the quantity of lumens in line with watt of electricity fed on. A light bulb that has a higher lumen output consistent with watt is considered to be more green. As an example, a mild bulb that produces one hundred lumens in step with watt is more efficient than a light bulb that produces eighty lumens in line with watt. That is because it produces greater light according to unit of electricity fed on.

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A ball launch horizontally from the top of a 70.6-m building lands 188 m from the building's base. The ball will fly for 3.79 seconds.

A displacement is a vector whose length is the shortest distance between a moving point's initial and final positions.

The beginning velocity in the problem is described as horizontal, which implies that the initial vertical velocity(u) is zero. In order to solve for the time of flight using the formula, we also have the height of the building, which is a downward displacement.

We know,

[tex]Y = ut + \frac{1}{2}at^{2}[/tex]

Here, Y = height of the building =  70.6m, u = 0, a = g = 9.81m/[tex]s^{2}[/tex]. We have to find the time of flight t.

⇒ [tex]70.6 = 0*t + \frac{1}{2} (9.81)t^{2}[/tex]

⇒ [tex]t^{2} = 14.3934[/tex]

⇒ [tex]t = 3.79 s[/tex]

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If the hiker moves at a constant 500 Watts per meter, it will take 2.4 hours to ascend the hill (1200 meters x 500 Watts).

The way a body's orientation or position changes over time. Translation describes motion along a line or a curve. Rotation is a motion in which a body's orientation is altered.

An object moving or being moved is referred to as motion. It's said that motion follows a pattern when it repeats. Making predictions about future motion requires the observation of patterns of motion. Friction is the name for the force that prevents moving objects from moving.

The fundamental kinematics equation of motion, which states that the distance travelled divided by the object's speed equals the amount of time required to travel that distance.

Following are the steps to determine how long it took to climb the hill:

To start, figure out the hiker's power output.

500 Watts are being produced continuously by the hiker.

Step two is to compute the climbing time.

By dividing the distance travelled by the time it took to climb the slope.

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The final velocity of the two-vehicle mass is 2.42m/s.

Momentum is defined as the product of mass and velocity of an object which is a vector quantity, which has a magnitude and a direction. If m is the mass of an object and v is its velocity, then p is the momentum of the object: [tex]\mathbf{p} = m \mathbf{v}.[/tex]

For above given information,

[tex]m_1= 1400kg\\m_2= 6400kg\\v_1_i=-13.5 m/s\\v_2_i= 0m/s[/tex]

Formula for this is:

[tex]m_1.v_1_i+m_2.v_2_i= (m_1+m_2)v_f[/tex]

(1400.-13.5)+ (6400.0) = (1400+6400).[tex]v_f[/tex]

-18900=7800.[tex]v_f[/tex]

-18900/7800=[tex]v_f[/tex]

[tex]v_f= 2.42m/s[/tex]

Thus, the final velocity of the two-vehicle mass is 2.42m/s.

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The electric force between these two sets of charges is: -3.6*10^6 N

In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.

To solve this exercise the electric force formula and the procedure we will use is:

F = (k * q1 * q2)/r²

Where:

Information about the problem:

By converting the the separation distance of the charges from (km) to (m) we have:

r = 2.0 km * 1000 m/1 km

r= 2000 m

Applying the electric force formula we have:

F = (k * q1 * q2)/r²

F = [(9 *10^9 N*m²/C² * (40 C) * (-40 C)]/ (2000 m)²

F = -1.44*10^13 N*m² /4*10^6 m²

F = -3.6*10^6 N

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