a child bounces in a harness suspended from a door frame by three parallel elastic bands. (a) if each elastic band stretches 0.270 m while supporting a 6.85 kg child, what is the force constant for each elastic band? n/m (b) what is the time for one complete bounce of this child? s (c) what is the child's maximum velocity if the amplitude of her bounce is 0.270 m?

The marginal product of the 31st worker was 38 bushels of wheat.

The marginal product calculates the change in total output for each change in the workforce as:

Total product change / change in labor force equals marginal product.

Finding the combined output of the 30 and 31 workers is the first stage. Average product multiplied by the quantity of workers yields total product.

Total product = average product x total output

Total product of 30 workers = 100 x 30 = 3000 bushels

Total product of 31 workers = 31 x 98 = 3,038 bushels

Marginal product of 31st worker = (3038 - 3000) / (31 - 30) = 38 bushels

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Answer: From the mass lost during the reaction, or the mass defect.

The energy produced during a reaction come from the heat energy which is released during splitting of uranium atoms.

Nuclear energy originates from the splitting of uranium atoms in the atmosphere, a process called as fission. This reaction generates heat energy to produce steam, which is used by a turbine generator to generate electric energy. Because, the nuclear power plants do not burn fuel, they do not produce any greenhouse gas emissions.

Uranium and plutonium are the most commonly used atoms for fission reactions in nuclear power reactors because they are very easy to initiate and control with time. The energy which is released by fission in these reactor heats water into the steam. The steam generated is used to spin a turbine to produce carbon-free electric energy.

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The lack of magnetic fields in a region where an electron moves at constant velocity does not necessarily mean the electric field is zero, as the electron could still be moving due to the presence of an electric field.

The absence of a magnetic field does not imply that there is no electric field present in a region of space. If an electron moves with constant velocity through such a region, it simply means that there is no force acting on the electron due to a magnetic field. However, the electron could still be moving in response to an electric field.

Therefore, one cannot conclude that the electric field is zero in the region based solely on the absence of a magnetic field. Other observations or measurements are necessary to determine the presence or absence of an electric field in the region.

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Answer:

Explanation:

The mass of the object can be found by using the formula

\(m = \frac{f}{a} \\ \)

where

f is the force

a is the acceleration

From the question we have

\(m = \frac{200}{500} = \frac{2}{5} \\ \)

We have the final answer as

Hope this helps you

The integral of the function of the force applied to the time of application

of the force gives the impulse of the force.

The speed with which the ball rebounds from the plate is approximately

34.23 m/s.

Reasons:

Force = Rate of change of momentum

F × t = m·(v₂ - v₁)

Where;

Speed of the ball, v₁ = 16 m/s

v₂ = The speed with which the ball rebounds from the plate

The impulse, I, of the force is given by the area under the curve.

The height of the triangular curve, h = 2,500 N

The base length of the triangular curve = 7 ms.

Area of a triangle = \(\frac{1}{2}\) × Base length × Height

Therefore, we have;

\(Area \ under \ the \ curve, \, I = \dfrac{0.007 \times 2500}{2} = 8.75\)

8.75 = 0.48 × (v₂ - 16)

v₂ ≈ 34.23 m/s

Therefore, the speed with which the ball rebounds, v₂ ≈ 34.23 m/s.

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Answer:D

Explanation:

Answer: D

Explanation:

A P EX

Answer:

12 m/s

Explanation:

Given,

Kinetic energy ( K.E ) = 18000 J

Mass ( m ) = 250 kg

To find : Velocity ( v )

Formula : -

K.E = mv²/2

v² = 2 K.E / m

   = 2 x 18000 / 250

   = 2 x 72

   = 144

   = 12 x 12

v² = 12²

v = 12 m/s

Therefore,

the velocity of the car is 12 m/s

Answer:

715.4 N

Explanation:

W = mg

= 73 kg*9.8m/s²

= 715.4 N

Answer:

73 kgf =  715.88545 N

Explanation:

To simply convert from any unit into newtons, from 73 kilogram-force, just multiply by the conversion value in the right column in the table below.

73 kgf x 9.80665 [ (N) / (kgf) ] = 715.88545 N

Answer:

C

Explanation:

Given that a note has a wavelength of 0.65551 m. If the speed of sound is 343.00 m/s, the pitch of the note is the same as the frequency.

Sound Velocity = product of frequency and wavelength.

Substitute wave speed and wavelength into the formula

343 = f × 0.65551

Make f the subject of formula

F = 343 / 0.65551

F = 523.58 Henz

Therefore, the pitch of the note is 523.52 Hz approximately

The correct answer is option C

When the car moves 4km east and then turns 3km  north then the resultant displacement of car will be :

5km

Here initially the car moves 4km east , that is a straight line  towards east direction with a value of 4kms (let the point be A).

then,  from the point A it turns 3km towards north direction. here

North and east are perpendicular to one another.

ie, it forms 90° that means it is a right angle.

The displacement of a car is the distance between its initial and final positions.

The displacement is

S = \(\sqrt{3^{2} + 4^{2} }\)  

S = \(\sqrt{25}\)

  = 5

so the resultant displcement is 5km

the resultant graph is attached below:

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Answer: beta particles

Explanation:

that's the answer

Answer: 1,562.5 Km

Explanation: If it takes one hour to travel 625 kilometers, then, in two and a half hours, you should travel 1,562.5 Kilometers because of 625x2.5=1562.5 kilometers

Tata 1mg maintains its competitive advantage through factors such as strong brand reputation, technological innovation, and strategic partnerships.

Tata 1mg, a leading online healthcare platform, sustains its competitive advantage by leveraging several key factors. Firstly, Tata's strong brand reputation and credibility in the market contribute to its competitive edge. This enables them to build trust with customers and attract a large user base. Additionally, Tata 1mg invests in technological innovation to enhance its platform's features, user experience, and efficiency.

By incorporating advanced technologies such as artificial intelligence and machine learning, they can provide personalized healthcare solutions and stay ahead of competitors.

Furthermore, strategic partnerships with healthcare providers, pharmaceutical companies, and diagnostic labs allow Tata 1mg to offer a comprehensive range of services, ensuring convenience and access to a wide network of healthcare resources for their customers. These factors collectively contribute to Tata 1mg's ability to maintain its competitive advantage in the online healthcare industry.

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Answer:

the correct answer is D

Explanation:

The relationship between time of flight t₁ and t₂ is t₂² = 20t₁ +  4.9t₁² = t₂²

The time it takes for the two cannon balls to land or the time of flight is determined using the equation below:

h = ut + ¹/₂gt²

where;

For ball 1:

h = 20t₁ + ¹/₂ * 9.8 * t₁²

For ball 2:

h = 0 * (t₂) + ¹/₂* 9.8 * t₂²

Equating the two values of h:

20t₁ + ¹/₂ * 9.8 * t₁² = 0 * (t₂) + ¹/₂ * 9.8 * t₂²

20t₁ +  4.9t₁² = t₂²

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Part A: The radius of curvature of the lens surface is approximately 3.17 m. Part B: The focal length of the lens is approximately 1.59 m.

Part A:

To find the radius of curvature of the lens surface, use the formula for the radius of the nth bright ring in a planoconvex lens:

r = √(n × λ × f),

where r = radius of the nth bright ring, λ = wavelength of light, and f = focal length of the lens.

In this case, n = 42 (since the last bright ring is observed at the edge), λ = 580 nm (converted to meters, so λ = 580 × 10⁻⁹ m).

Rearranging the formula, solve for f:

f = r² / (n × λ).

Plugging in the values:

f = (0.021 m²) / (42 × 580 × 10⁻⁹ m).

Calculating this expression gives:

f = 3.17 m.

Therefore, the radius of curvature of the lens surface is approximately 3.17 m.

Part B:

The focal length of the lens can be determined using the formula:

f = R / 2,

where R = radius of curvature.

Plugging in the value for the radius of curvature obtained in Part A:

f = 3.17 m / 2.

Calculating this expression gives:

f = 1.59 m.

Therefore, the focal length of the lens is approximately 1.59 m.

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Answer:

C.) Energy can be neither created nor destroyed.

Explanation:

There is no new energy on the earth. All energy is transformed into new sources but no energy has ever been destroyed or created.

Answer:

Initial velocity = 4 m/s

Explanation:

Acceleration, a = 1.2 m/s²

Final velocity, v = 16 m/s

Initial velocity, u = ?

Time, t = 10 seconds

So, we must use the formula:

v = u + at

Insert all the values into the formula.

16 = u + 1.2 × 10

16 = u + 12

Make 'u' the subject of the equation, and solve to find the value of u.

u = 16 - 12

u = 4 m/s

We define acceleration as the rate of change of the velocity

Thus, if you have positive velocity and positive acceleration, your speed increases.

If you have positive velocity and negative acceleration, your speed decreases.

Now you get the idea, we will see that the correct option is graph 1.

We know that the car moves towards the right (let's define this as "the car has positive velocity") and we also know that te car is slowing down constantly (thus the acceleration needs to be negative and constant).

By looking at the graphs, the only one with these properties is graph 1.

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If a spacecraft weighs 1,200 lbf on the moon (g=5.31 ft/s^2 ), then the approximate weight on phobos  (gravitational constant g=0.0547 ft/s^2 )  is 12.34 lbf.

To find the approximate weight of the spacecraft on Phobos, we need to use the formula:

Weight = Mass x Gravity

Since the mass of the spacecraft is not given, we cannot directly calculate its weight on Phobos. However, we can use the weight on the moon to find the mass, and then use that to calculate the weight on Phobos.

First, we need to convert the weight of the spacecraft on the moon from pounds-force (lbf) to pounds-mass (lbm), using the conversion factor 1 lbf = 1 lbm x gmoon, where gmoon is the gravitational acceleration on the moon:

Weight on moon (lbm) = Weight on moon (lbf) ÷ gmoon

Weight on moon (lbm) = 1200 ÷ 5.31
Weight on moon (lbm) = 225.73

Now that we have the mass of the spacecraft on the moon, we can use it to find the weight on Phobos:

Weight on Phobos = Mass x Gphobos
Weight on Phobos = 225.73 lbm x 0.0547 ft/s^2
Weight on Phobos ≈ 12.34 lbf

Therefore, the approximate weight of the spacecraft on Phobos would be around 12.34 pounds-force.

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Answer:

importance of measurement is it gives proper required amount of anything if it will not exist then alot of work be disrupted .In many work measurement is very necessary like in scientific works

Answer:

Vaccines contain weakened or inactive parts of a particular organism (antigen) that triggers an immune response within the body. Newer vaccines contain the blueprint for producing antigens rather than the antigen itself.

Answer: They give  you a portion of the thing its fighting so it gets your cells use to it so they can fight it off easily

Explanation:

Answer:

Aeroplane

Explanation:

they have tail surfaces to stabilize the wings

Answer:

d = 4.425 x 10⁻⁶ m = 4.425 μm

Explanation:

The charge on plates can be given as:

\(q = \sigma A=CV\\where,\\\\C = Capacitance\ of\ parallel\ plate\ capacitor = \frac{\epsilon_oA}{d}\\\\therefore,\\\\\sigma A=(\frac{\epsilon_oA}{d})V\\\\d = (\frac{\epsilon_o}{\sigma})V\)

where,

d = spacing between plates = ?

ε₀ = Permitivity of free space  = 8.85 x 10⁻¹² C²/Nm²

σ = surface charge density = (30 nC/cm²)(10⁻⁹ C/1 nC)(1 cm²/10⁻⁴ m²)

σ = 3 x 10⁻⁴ C/m²

V = Potential Difference = 150 V

Therefore,

\(d = \frac{(8.85\ x\ 10^{-12}\ C^2/Nm^2)}{3\ x\ 10^{-4}\ C/m^2}(150\ V)\\\)

d = 4.425 x 10⁻⁶ m = 4.425 μm

Stars form from molecular clouds through a process known as stellar formation.

These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.

The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.

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Answer: 1CM CUBE OF LEAD

Explanation:

Answer:

yes it is true

Explanation:

Explanation:

Distance = rate × time

1 m = (2.99792×10⁸ m/s) t

t = 3.33565×10⁻⁹ s

Light is the fastest thing in the universe. The speed of light is 2.99792 x 10⁸ m/s . The time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

Speed is a physical quantity that means the distance in meter covered by a moving body in one second.  The speed of light is  2.99792 x 10⁸ m/s. Light from sun only takes 8 min to travel to the earth surface.

The speed of a moving particle or wave is mathematically the ratio of distance and time. Thus time of travel can be found out from the distance and speed.

It is given that the distance travelled by light is 1 m and its speed is 2.99792 x 10⁸ m/s. Thus the time taken to  travel is calculated as follows:

Time = distance/speed

         = 1 m/ (2.99792 x 10⁸ m/s)

         = 3.39  x 10⁻⁹s

Therefore, the time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

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