Why does the soccer ball not increase in size when air is pumped into it?

Solution :

Given :

L = 1 in

d = 0.75 in

D = 1 in

Fillet radius, r = 0.063 in

[tex]$K_{t_{bending}=\frac{\sigma_{FEA_{bending }}}{\sigma_{Nominal_{bending }}}$[/tex]

We know that :

[tex]$\sigma_{b} = \frac{32M}{\pi d^3}$[/tex]

[tex]$\sigma_{b} = \frac{32 \times (2998.63 \times 25.4)}{\pi (0.75 \times 25.4)^3}$[/tex]

    [tex]$=112.27 \ N/mm^2$[/tex]

[tex]$\sigma_{FEA} = 1.3 \times 10^8 \ N/m^2$[/tex]

         [tex]$=1.3 \times 10^8 \times 10^{-6}$[/tex]

         [tex]$=1.3 \times 10^2$[/tex]   MPa

         = 130 MPa

Therefore, the stress concentration factor is :

[tex]$k_t=\frac{130}{112.27}$[/tex]

   = 1.157922

Answer:

hi

Explanation:

Answer:

Part A

Time period, designated by the symbol, 'T', is defines as the time it takes for a complete cycle of an oscillation or vibration (of a wave) to transit through a given point.

The longer the time period of a wave, the lower the frequency of the wave

The unit of the time period is seconds, 's'

Part B

Mathematically, the formula for the time period is presented as follows;

f = 1/T

∴ T = 1/f

f = v/λ

∴ T = λ/v

Where;

v = The velocity of the wave;

λ = The wavelength of the wave

Explanation:

Answer:

The final velocity is 50 m/s.

Explanation:

Below is the calculation of velocity:

v = u + a*t

v = final velocity

u = initial velocity

a = accreleration

Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.

v = u + a*t

v = 0 + 10 x 5

v = 50 m/s

The final velocity is 50 m/s.

         The relationship between electric current and potential difference is stated by Ohm's law. Most conductors' current is directly inversely proportional to the voltage applied to them. German physicist Georg Simon Ohm was the first to empirically confirm Ohm's law.

The expression for Ohm's law is V I. As a result, V = RI, where R is the resistance constant. R is influenced by the conductor's material, size, and other factors. Ohm () is its SI unit.

      Ohms to volts conversion using the formula watts volts = watts ohms. or.

V = √W × Ω Example.

Given that,

  Voltage (v) = 250 V          

  Resistance (R) = 25 Ω,

   Determine current (I) =?

 We know that from ohm's law

 V = I R    

  I = V/R

  I = 250 / 25

  I = 10 A

Current in the circuit is 10 Amps.

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Answer:

451.13 J/kg.°C

Explanation:

Applying,

Q = cm(t₂-t₁)............... Equation 1

Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.

Make c the subject of the equation

c = Q/m(t₂-t₁).............. Equation 2

From the question,

Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C

Substitute these values into equation 2

c = 1500/[0.133(45-20)]

c = 1500/(0.133×25)

c = 1500/3.325

c = 451.13 J/kg.°C

Answer:

Gravity

Explanation:

Because without gravity thee would be no boat floating on water

Answer:

Explanation:

Use the one-dimensional equation

[tex]v_f=v_0+at[/tex] where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time it takes to reach that final velocity. We are solving for t. Filling in the other values:

0 = 28 + (-6.4)t and

-28 = -6.4t so

t = 4.4 seconds

Answer:

4.4

Explanation:

Answer:

35%

Explanation:

win

The amount of work required to lift the 230 kg to a height of 3.5 m at  84% efficiency is 9391.67 J

This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as

Efficiency = (output / input) × 100

Work output = mgh

Work output = 230 × 9.8 × 3.5

Work output = 7889 J

Efficiency = (output / input) × 100

84% = 7889 / input

Cross multiply

84% × input = 7889

Divide both side by 84%

Input = 7889 / 84%

Input = 7889 / 0.84

Input = 9391.67 J

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Answer:

air mass

Explanation:

Remember, the weather of a particular location is often a description of the atmospheric condition of that particular place.

Indeed, the definition of an air mass fits the reporter's description above. As the name implies, a particular air mass would represent the temperature characteristics of a particular area that has a constant or the same temperature and air pressure.

Answer:

Let the power delivered by the sound wave be 'P'

Intensity by definition is the power delivered per unit area.

i.e. I =

dA

dP

;

In spherical polar coordinate system dA = r

2

Ω

I =

r

2

Ω

dP

;

I ∝

r

2

1

So if distance increases 3 fold. The Intensity becomes

9

1

times the initial

Answer:

let one capacitor be x and other be y

[tex]in \: parallel \: connection : \\ \frac{x + y}{xy} = 10 \times {10}^{ - 6} - - - (a) \\ in \: series \: connection : \\ x + y = 2.4 \times {10}^{ - 6} - - - (b) \\ in \: (a) : \\ \frac{2.4 \times {10}^{ - 6} }{xy} = 10 \times {10}^{ - 6} \\ xy = 0.24 - - - (c) \\ from \: (b) : \\ y = (2.4 \times {10}^{ - 6} ) - x \\ \therefore \: in \: (c) : \\ x(2.4 \times {10}^{ - 6} - x) = 0.24 \\ 2.4 \times {10}^{ - 6} x - {x}^{2} = 0.24 \\ {x}^{2} - 2.4 \times {10}^{ - 6} x - 0.24 = 0 \\ x = 0.5 \\ 0.5y = 0.24 \\ y = 0.48 \\ { \boxed{ C _{1} = 0.5 \: farads}} \\ { \boxed{C _{2} = 0.48 \: farads}}[/tex]

Answer:

Satellite D

Explanation:

It has more mass

Answer:

v = 37.59 km/h

Explanation:

The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".

Distance, d = 100 m = 0.1 km

Time, t = 9.58 s = 0.00266 h

We need to find the speed of the Usain Bolt. We know that,

Speed = distance/time

So,

[tex]v=\dfrac{0.1}{0.00266}\\\\v=37.59\ km/h[/tex]

So, the required speed is equal to 37.59 km/h.

Answer:

Explanation:

this is a simple application of Newton's 2nd Law: F = ma.

F = .019(23) so

F = .44 N

You would need to apply a force of 0.437 Newtons to the ball in order to achieve the desired acceleration of 23 m/s².

Force is a physical quantity that describes the interaction between objects or systems and their ability to change motion or shape. It is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, or change direction.

According to Newton's second law of motion, force is directly proportional to the mass of an object and the acceleration it experiences. The equation F = m × a represents this relationship, where F is the force, m is the mass of the object, and a is the acceleration.

Force can be measured in various units, such as Newtons (N) in the International System of Units (SI) or pounds (lb) in the US customary system. Common examples of forces include gravity, friction, tension, compression, and applied forces like pushing or pulling an object.

According to Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = m × a

In this case, the mass of the ball is given as 0.019 kg, and the desired acceleration is 23 m/s². Plugging these values into the equation, we can calculate the force:

F = 0.019 kg × 23 m/s²

F = 0.437 kg m/s²

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Answer:

Maybe the answer is Newton's third law

Answer:

Coulomb force

Explanation:

The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The force is along the straight line joining the two charges.

Answer:

40000 N/m²

Explanation:

Applying,

P =  F/A................... Equation 1

Where P = Pressure, F = Force, A = Area.

From the question,

The force(F) exerted by the person's foot is thesame as it's weight.

F = W = mg............ Equation 2

Where m = mass of the person, g = acceleration due to gravity.

Substitute equation 2 into equation 1

P = mg/A................ Equation 3

Given: m = 60 kg, g = 10 m/s², A = 150 cm² = (150/10000) m² = 0.015 m²

Substitute these values into equation 3

P = (60×10)/0.015

P = 600/0.015

P = 40000 N/m²

Answer:

Newton's first law

Explanation:

you see, when an object is in motion, it tends to stay in motion, but in your case, if a object is at rest, it usually stays at rest unless acted upon my an unbalanced force which is pulling card from under the coin extremely quick and because you pulled it extremely quick, the coin isn't light enough to be moved easily with the paper, nor enough friction and speed for the coin to continue sticking onto the piece of paper

A.K.A. the coin is heavy, which is why it did not move with the paper

Answer:

Newton's First Law - Law of Inertia

Explanation:

Newton's First Law, the Law of Inertia mentions that an object at rest will stay in rest until acted by another force. The penny's inertia will cause it to fall directly down into the cup because the magnitude of external force applied by the card will be too meager to have a notable effect.

Answer:

v_f = 2.9m/s

Explanation:

v_f = v_I + a(t)

v_f = 0.6m/s + 1.2m/s²(1.9s)

v_f = 2.88m/s

v_f = 2.9m/s

Explanation:

An oven thermostat regulates the temperature inside an oven. The thermostat's temperature-sensitive probe measures the oven's warmth, switching the heat on and off as necessary to maintain the correct temperature.

Answer:

the answer from my side is both vertical and horizontal

Answer:

Entirely horizontal

Explanation:

The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal

Answer:

Answer:

oxygen concentration

Explanation:

Answer:

Your answer is 37.5 N

Explanation:

Force, F = BIL

F = 15 x 5 x 0.5 = 37.5 N

Answer:

The answer is below

Explanation:

Given that the volume (V) = 0.4 m³, temperature difference (ΔT) = 270 K - 350 K = -80 K, pressure (P) = 60 kPa = 60000 Pa, R = 8.314 J/molK

Since we have constant volume, we can use the final state parameters to calculate the number of moles using the ideal gas law:

[tex]PV=nRT\\\\n=\frac{PV}{RT} =\frac{60000*0.4}{8.314*270} =10.69\ moles[/tex]

Given that the molar heat capacity at constant volume ([tex]C_v[/tex]) = 28.0 J/(mol K), the heat absorbed (Q) is:

[tex]Q=nC_v\Delta T=10.69*28*(-80) = -23945.6\ J\\\\Q=-23.95\ kJ[/tex]

Q ≈ -24 kJ

Answer: 27Ω

Explanation:

Quando o circuito está em série, a resistência total é igual ao somatório das resistências parciais do circuito.