what is the frequency of a photon that has the same momentum as a neutron moving with a speed of 1300 m/s ?

a) The gauge pressure of the air in the tire after it has been driven at high speeds and the temperature increased to 50 °C is approximately 228.7 kPa.

b) If the volume of the tire expands by 10%, the gauge pressure of the air in the tire would be approximately 231.8 kPa.

To calculate the gauge pressure of the air in the tire, we need to use the ideal gas law, which states that the pressure of a gas is directly proportional to its temperature when the volume is constant.

The ideal gas law is given by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

a) Assuming the volume of the tire remains constant, we can use the ideal gas law to solve for the gauge pressure. First, let's convert the given temperatures to Kelvin:

Initial temperature (T1) = 20 °C + 273.15 = 293.15 K

Final temperature (T2) = 50 °C + 273.15 = 323.15 K

The initial gauge pressure (P1) is given as 200 kPa. To find the final gauge pressure (P2), we can set up the following equation using the ideal gas law:

(P1 + Patm) / T1 = (P2 + Patm) / T2

Where Patm is the atmospheric pressure (which we assume remains constant). Rearranging the equation and solving for P2, we get:

P2 = (P1 + Patm) * (T2 / T1) - Patm

Substituting the values, P1 = 200 kPa, T1 = 293.15 K, T2 = 323.15 K, and assuming Patm is 101.3 kPa, we can calculate P2:

P2 = (200 + 101.3) * (323.15 / 293.15) - 101.3

P2 ≈ 228.7 kPa

Therefore, the gauge pressure of the air in the tire after it has been driven at high speeds and the temperature increased to 50 °C is approximately 228.7 kPa.

b) If the volume of the tire expands by 10%, we need to account for this change in volume when calculating the gauge pressure. We can use the combined gas law to incorporate the volume change. The combined gas law is given by the equation PV/T = constant.

Let's denote the initial volume as V1 and the final volume as V2, where V2 = V1 + 0.1V1 = 1.1V1 (10% expansion).

Using the combined gas law, we can set up the following equation:

(P1 + Patm) / T1 = (P2 + Patm) / T2

Now, we need to consider the volume change:

(P1 + Patm) * (V1 / T1) = (P2 + Patm) * (V2 / T2)

Substituting V2 = 1.1V1, we get:

(P1 + Patm) * (V1 / T1) = (P2 + Patm) * (1.1V1 / T2)

Simplifying and solving for P2:

P2 = ((P1 + Patm) * (V1 / T1) * T2) / (1.1V1) - Patm

Substituting the values, P1 = 200 kPa, T1 = 293.15 K, T2 = 323.15 K, V1 = 1 (as it's a relative volume), and assuming Patm is 101.3 kPa, we can calculate P2:

P2 = ((200 + 101.3) * (1 / 293.15) * 323.15) / (1.1) - 101.3

P2 ≈ 231.8 kPa

Therefore, if the volume of the tire expands by 10%, the gauge pressure of the air in the tire would be approximately 231.8 kPa.

For more such questions on  gauge pressure visit:

https://brainly.com/question/9019509

#SPJ8

The speed of sound in the air is approximately 351 m/s.

To calculate the speed of sound in the air, we can use the formula: v = f * λ

Where:

v is the speed of sound

f is the frequency of the tuning fork

λ is the wavelength of the sound wave

First, let's calculate the wavelength of the sound wave. The difference in distance between the two resonance positions (75 cm - 45 cm = 30 cm) corresponds to half of a wavelength (λ/2). Therefore, the wavelength is twice the difference:

λ = 2 * 30 cm = 60 cm

Next, we convert the wavelength to meters:

λ = 60 cm = 0.6 m

Now we can substitute the frequency and wavelength into the formula to calculate the speed of sound:

v = (585 Hz) * (0.6 m)

v = 351 m/s

Therefore, the speed of sound in the air is approximately 351 m/s.

learn more about speed of sound  here

https://brainly.com/question/15381147

#SPJ11

To determine the factor by which the density of the rubbish is increased, we need to consider the relationship between density (ρ), volume (V), and mass (m).

Density is defined as the mass per unit volume:

ρ = m/V

Given that the trash compactor can compress the contents to 0.350 times their original volume, the new volume (V') can be expressed as:

V' = 0.350 * V

Assuming the mass of the rubbish remains constant, the mass (m') after compression is the same as the original mass (m).

Now, let's calculate the density after compression (ρ'):

ρ' = m/V' = m/(0.350 * V)

To find the factor by which the density is increased, we can divide ρ' by ρ:

Factor = ρ'/ρ = (m/(0.350 * V))/(m/V) = (1/0.350) = 2.857

Therefore, the density of the rubbish is increased by a factor of approximately 2.857.

Learn more about mass  from

https://brainly.com/question/86444

#SPJ11

A cubic meter of lead has the greatest density among the options given. Density is the measure of how much mass is contained in a given volume of a substance. Lead is a dense metal with a density of 11.34 g/cm³, whereas snow, air, textbooks, and feathers have much lower densities.

Snow has a density ranging from 0.1 to 0.3 g/cm³, air has a density of approximately 1.2 kg/m³, textbooks have a density of around 0.8 g/cm³, and feathers have a density of around 0.02 g/cm³. Therefore, a cubic meter of lead will have a much greater mass than the other options given, despite having the same volume. It is important to note that density can vary based on factors such as temperature and pressure, but in this case, lead is the most dense material among the options given.

To know more about density visit :-

https://brainly.com/question/29775886

#SPJ11

To calculate the acceleration of the rocket, we can use the formula:

acceleration (a) = change in velocity (Δv) / time taken (t).

In this case, the rocket starts at rest, so the initial velocity (v1) is 0 m/s. The final velocity (v2) is 100 m/s, and the time taken (t) is 11 seconds.

Substituting the values into the formula, we have:

a = (v2 - v1) / t

 = (100 m/s - 0 m/s) / 11 s

 = 100 m/s / 11 s.

Calculating this expression, we find:

a ≈ 9.09 m/s².

Therefore, the acceleration of the rocket is approximately 9.09 m/s².

Hence, the acceleration of the rocket is approximately 9.09 m/s².

Learn more about acceleration here:

https://brainly.com/question/31946450

#SPJ11

Answer:

Gram and Kilogram are the units mass is represented in

Explanation:

the average resisting force exerted on the bullet as it penetrated the fence post was approximately 7034.5 Newtons.

To calculate the average resisting force exerted on the bullet, we can use the equation:
Force = (mass x change in velocity) / time
However, we do not have the time for the bullet to penetrate the fence post. Instead, we can use the fact that the bullet penetrated to a depth of 2.9 cm to determine the work done by the resisting force.
Work = force x distance
We know the distance (2.9 cm or 0.029 m) and the mass of the bullet (5.1 g or 0.0051 kg), so we can rearrange the equation to solve for force:
Force = work / distance
First, we need to find the work done by the resisting force. Since the bullet was initially traveling at a speed of 400 m/s, its initial kinetic energy was:
KE = (1/2) x mass x speed^2
KE = (1/2) x 0.0051 kg x (400 m/s)^2
KE = 204.0 J
The work done by the resisting force can be calculated by subtracting the final kinetic energy of the bullet from its initial kinetic energy:
Work = KE_initial - KE_final
Assuming the bullet comes to a complete stop after penetrating the fence post, its final kinetic energy is zero. Therefore:
Work = 204.0 J - 0 J
Work = 204.0 J
Now we can use the equation above to find the average resisting force:
Force = work / distance
Force = 204.0 J / 0.029 m
Force = 7034.5 N

to know more about ,  kinetic energy visit
https://brainly.com/question/999862

#SPJ11

Yes, the velocity of the boat relative to the water will be greater than the velocity of the boat relative to the stream bank when the boat is moving downstream.

When a boat moves downstream, it is affected by the velocity of the stream itself. The velocity of the stream adds to the velocity of the boat, resulting in a higher overall velocity relative to the water. This is because the boat is essentially "riding" the flow of the stream, benefiting from its speed.

In contrast, the velocity of the boat relative to the stream bank is determined solely by the boat's own propulsion and steering. It does not take into account the additional velocity provided by the downstream flow of the stream. Therefore, the velocity of the boat relative to the stream bank is lower than the velocity of the boat relative to the water.

In summary, the boat's velocity relative to the water is greater than its velocity relative to the stream bank when moving downstream due to the added velocity provided by the stream's flow.

Learn more about velocity here

https://brainly.com/question/24445340

#SPJ11

In simple harmonic motion, an object moves back and forth in a periodic manner about its equilibrium position. At the maximum displacement from the equilibrium position.

The correct answer is C.

the object experiences a maximum potential energy and zero kinetic energy. This is because all of the energy is stored in the object's position and not in its motion. As the object moves back towards the equilibrium position, the potential energy decreases and the kinetic energy increases until the object reaches the equilibrium position, where the potential energy is zero and the kinetic energy is at a maximum. Therefore, the correct answer is D) Kinetic energy.


Potential energy. When an object in simple harmonic motion is at its maximum displacement, its potential energy is at a maximum because it is furthest from its equilibrium position. At this point, the object has the least amount of kinetic energy and the maximum amount of potential energy stored in the system.

To know more about motion visit:

https://brainly.com/question/2748259

#SPJ11

Answer:

(a) - [tex]emf=0.0163 \ V}}[/tex]

(b) - [tex]emf=0.0178 \ V}}[/tex]

Explanation:

Induced emf (or voltage) can be calculated using the following formula.

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Induced Emf:}}\\\\||emf||=N\frac{d\Phi_b}{dt} \end{array}\right}[/tex]

Where...

"N" represents the number of turns/coils of wire

"dΦ_B" represents the change in magnetic flux

"dt" represents the change in time

In this case N=1, so we have the equation...

[tex]emf=\frac{d\Phi_b}{dt}[/tex]

Magnetic flux can be calculated as follows.

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Magnetic Flux:}}\\\\ \Phi_b=BA\cos(\theta) \end{array}\right}[/tex]

Where...

"B" represents the strength of the magnetic field

"A" represents the area of a surface

"θ" represents the angle between B and A

In this case θ=0°, so we have the equation..

[tex]\Phi_B=BA[/tex]

Given:

[tex]B=0.32 \ T\\A_0=0.285 \ m^2\\\frac{dr}{dt}=2.70 \ cm/s \rightarrow 0.027 \ m/s[/tex]

Find:

[tex]emf \ \text{when} \ dt=0 \ s \\\\emf \ \text{when} \ dt=1.00 \ s[/tex]

(1) - Find the initial radius of the loop

[tex]\text{Recall the area of a circle} \rightarrow A=\pi r^2\\\\A_0=\pi r_0^2\\\\\Longrightarrow r_0=\sqrt{\frac{A_0}{\pi} } \\\\\Longrightarrow r_0=\sqrt{\frac{0.285}{\pi} } \\\\\therefore \boxed{r_0 \approx 0.301 \ m}[/tex]

(2) - Find dΦ_B/dt

[tex]\Phi_B=BA\\\\\Longrightarrow \Phi_B=B(\pi r^2)\\\\\Longrightarrow \frac{d\Phi_B}{dt} =B( 2\pi r)\frac{dr}{dt} \\\\\therefore \boxed{emf=2B\pi r\frac{dr}{dt}}[/tex]

(3) - For part (a) plug in the appropriate values into the equation

[tex]emf=2B\pi r\frac{dr}{dt}\\\\\Longrightarrow emf=2(0.32)(\pi)(0.301)(0.027)\\\\\therefore \boxed{\boxed{emf=0.0163 \ V}}[/tex]

(4) - Find the radius of the loop after one second

[tex]r_f=r_0+\frac{dr}{dt} \\\\\Longrightarrow r_f=0.301+0.027\\\\\therefore \boxed{r_f=0.328}[/tex]

(5) - Use the new radius value to answer part (b)

[tex]emf=2B\pi r\frac{dr}{dt}\\\\\Longrightarrow emf=2(0.32)(\pi)(0.328)(0.027)\\\\\therefore \boxed{\boxed{emf=0.0178 \ V}}[/tex]

Thus, the problem is solved.

1) The emf induced in the loop at t = 0 is 0 V.

2) The emf induced in the loop at t = 1.00 s is 1.99 V.

1) At t = 0, the emf induced in the loop is given by Faraday's law of electromagnetic induction, which states that the emf (ε) induced in a loop is equal to the rate of change of magnetic flux through the loop.

Since the loop is stationary initially (dr/dt = 0), there is no change in the magnetic flux through the loop, and therefore the induced emf is 0 V.

2) At t = 1.00 s, the emf induced in the loop can be calculated using Faraday's law. The rate of change of magnetic flux (dΦ/dt) is equal to the product of the magnetic field (B) and the rate of change of the area (dA/dt) of the loop.

The area of the loop increases with time, and the rate of change of the area is given as dr/dt multiplied by the circumference of the loop (2πr).

Therefore, dA/dt = 2πr(dr/dt).

Substituting the given values, B = 0.32 T, A = 0.285 m², and dr/dt = 2.70 cm/s (0.027 m/s) into the equation, we can calculate the emf induced at t = 1.00 s:

ε = -dΦ/dt = -B(dA/dt) = -B(2πr)(dr/dt) = -(0.32 T)(2π)(0.285 m²)(0.027 m/s) ≈ 1.99 V.

Therefore, the emf induced in the loop at t = 1.00 s is approximately 1.99 V.

To know more about circumference, refer here:

https://brainly.com/question/28757341#

#SPJ4

To calculate the power transported down the cables in the given examples, we can use the formula P = VI, where P represents power, V is the potential difference, and I is the current. In this case, the two conductors are held at a potential difference V and carry current I down one conductor and back up the other.

Since the current flows down one conductor and back up the other, the total power transported by both conductors can be found by simply calculating the power for one conductor and then multiplying by 2. Using the formula P = VI, we find the power for one conductor as P1 = VI. The total power transported by both conductors is then P_total = 2P1 = 2(VI).

In this scenario, the power transported down the cables is equal to twice the product of the potential difference and the current. It's important to note that this calculation assumes constant values for the potential difference and current, as well as ideal conditions with no energy loss in the cables.

To know more about potential difference visit :-

https://brainly.com/question/23716417

#SPJ11

The new volume of the air sample is approximately 8.71 mL , we can use the combined gas law, which relates the initial and final conditions of temperature, pressure, and volume.

The combined gas law equation is:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

Given:

P1 = 0.875 atm

V1 = 4.00 mL

T1 = 250.5 °C + 273.15 (convert to Kelvin)

P2 = 305 torr (convert to atm)

T2 = 185 °C + 273.15 (convert to Kelvin)

Let's plug in the values and solve for V2:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

(0.875 atm * 4.00 mL) / (250.5 °C + 273.15 K) = (305 torr * V2) / (185 °C + 273.15 K)

Now, let's convert the units to be consistent:

(0.875 atm * 4.00 mL) / (523.65 K) = (0.402 atm * V2) / (458.15 K)

Cross-multiplying:

(0.875 atm * 4.00 mL) * (458.15 K) = (0.402 atm * V2) * (523.65 K)

Simplifying:

3.50 atm·mL·K = 0.402 atm * V2

Dividing both sides by 0.402 atm:

V2 = (3.50 atm·mL·K) / (0.402 atm)

V2 ≈ 8.71 mL

Therefore, the new volume of the air sample is approximately 8.71 mL.

learn more about combined gas law here

https://brainly.com/question/30458409

#SPJ11

The boiling point of water changes by approximately (b) 1.07e-04 K when the pressure is reduced by 3.80e-01 Pa relative to atmospheric pressure.

We can use the equation du = dp - DT, where du is the change in internal energy, dp is the change in pressure, and DT is the change in temperature. In this case, we want to find the change in boiling point temperature (DT) when the pressure is reduced by 3.80e-01 Pa.

Atmospheric pressure (P) = 101300 Pa

Boiling point of water at atmospheric pressure (T) = 373.15 K

We can calculate the change in boiling point temperature using the equation:

DT = du / dp

To determine du, we can use the entropy difference between liquid and gas per kilogram (ds), the molecular weight of water (MW), and the change in pressure (dp). The change in internal energy (du) can be expressed as:

du = ds * MW

Substituting this into the equation for DT:

DT = (ds * MW) / dp

Given:

Entropy difference between liquid and gas per kilogram (ds) = 6.05e+03 J/(kg·K)

Molecular weight of water (MW) = 0.018 kg/mol

Change in pressure (dp) = 3.80e-01 Pa

Substituting the values into the equation:

DT = (6.05e+03 J/(kg·K) * 0.018 kg/mol) / 3.80e-01 Pa

Simplifying the expression:

DT = 1.07e-04 K

Therefore, the boiling point of water changes by approximately  1.07e-04 K when the pressure is reduced by 3.80e-01 Pa relative to atmospheric pressure.

When the pressure is reduced by a small amount of 3.80e-01 Pa relative to atmospheric pressure, the boiling point of water changes by approximately 1.07e-04 K.

To know more about boiling, visit:

https://brainly.com/question/1530966

#SPJ11

To determine how much radioactive tellurium will be left after 8 months, we need to calculate the number of half-lives that have occurred in that time period.

The half-life of tellurium is 2 months, which means that in every 2 months, the amount of tellurium is reduced by half. Therefore, after 2 months, half of the initial amount remains. After another 2 months (4 months total), half of that remaining amount remains, and so on.

Since 8 months is equal to 4 half-lives (8 months / 2 months per half-life), the amount of tellurium remaining can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, the initial amount is 80 grams and the number of half-lives is 4:

Amount remaining = 80 grams × (1/2)^4

Calculating the expression:

Amount remaining = 80 grams × (1/16) = 5 grams

Therefore, after 8 months, there will be approximately 5 grams of the radioactive tellurium left.

Learn more about time from

https://brainly.com/question/479532

#SPJ11

B. Surface. The term "surface" describes the element that surrounds form. In the context of design and visual arts, form refers to the three-dimensional shape or structure of an object.

It has volume, mass, and occupies space. The surface of an object is the outermost layer or boundary that encloses the form.

While all the options listed are relevant elements in design and visual arts, the term "surface" specifically relates to the outer covering or boundary of an object. It defines the texture, color, pattern, and other visual or tactile characteristics of the object's outer layer.

A. Space refers to the area or volume within or around objects.

C. Pattern relates to the repetition or arrangement of visual elements.

D. Shape refers to the two-dimensional outline or contour of an object.

Therefore, the most appropriate answer is B. Surface.

Learn more about shape here

https://brainly.com/question/29627421

#SPJ11

We can see here that the total energy of a beam particle must be at least 16.4 GeV.

The ability of a system to perform work or bring about change is referred to as energy, which is a fundamental term in physics. It has magnitude but no clear direction because it is a scalar quantity.

We got the above answer in the following way:

Available energy = 16.4 GeV

Energy of target particle = 0 GeV

Energy of beam particle = ?

Energy of beam particle = Available energy - Energy of target particle

Energy of beam particle = 16.4 GeV - 0 GeV

Energy of beam particle = 16.4 GeV

This is because the available energy in the collision is 16.4 GeV, and the energy of the beam particle must be greater than or equal to the energy of the target particle.

Learn more about energy on https://brainly.com/question/25959744

#SPJ1

Answer: 0, The electric potential is 0.

Explanation: The POTENTIAL is CONSTANT , zero in this case, its  derivative along this direction is zero.

From the given information that the electric potential is zero everywhere along the x-axis, we can conclude that the x component of the electric field in this region is zero.

The electric potential is related to the electric field by the equation E = -dV/dx, where E is the electric field and V is the electric potential. Since the electric potential is zero along the x-axis, it means that the change in electric potential with respect to x is zero.

Therefore, the x component of the electric field, which is proportional to the rate of change of electric potential with respect to x, is zero.Therefore, the correct answer is: zero.

Learn more about electric here

https://brainly.com/question/1100341

#SPJ11

The length of the box is approximately 0.528 nanometers. To determine the length of a box in which the minimum energy of an electron is given,

we can use the equation for the minimum energy of a particle in a one-dimensional box: E_min = (h^2 * n^2) / (8 * m * L^2)

where:

E_min is the minimum energy (given as 1.4×10^(-18) J)

h is Planck's constant (6.626 x 10^(-34) J·s)

n is the quantum number (1 for the ground state)

m is the mass of the electron (9.109 x 10^(-31) kg)

L is the length of the box (to be determined)

Rearranging the equation to solve for L, we have:

L = sqrt((h^2 * n^2) / (8 * m * E_min))

Plugging in the given values, we get:

L = sqrt((6.626 x 10^(-34) J·s)^2 * (1^2) / (8 * (9.109 x 10^(-31) kg) * (1.4×10^(-18) J)))

Calculating this expression gives:

L ≈ 0.528 nm (rounded to three decimal places)

Therefore, the length of the box is approximately 0.528 nanometers.

learn more about electron  here

https://brainly.com/question/18367541

#SPJ11

The maximum speed of oscillator is 1.1 m/s2.

Thus, athletes can still reach a significant amount of their maximum speed in a relatively short distance, maximum speed continues to play a significant role in sport.

According to data from the International Associations of Athletics Federations, Usain Bolt reached 73 percent of his top speed at 10 meters, 85 percent at 20 meters, 93 percent at 30 meters, and 96 percent at 40 meters during the 100-meter final in the 2008 Summer Olympics in Beijing.

He moved at his fastest for 60 meters. The majority of sports should still train for maximal speed, but the amount of time spent on each should be determined by the relative importance of the two.

Although maximum speed and acceleration are two independent characteristics.

Thus, The maximum speed of oscillator is 1.1 m/s2.

Learn more about Speed, refer to the link:

https://brainly.com/question/28224010

#SPJ1

The total mass of Uranus plus the moon is approximately 8.68 × 10^25 kg. We can use Kepler's Third Law to relate the orbital period and distance of the moon with the masses of Uranus and the moon.

The law states that: (T^2 / R^3) = (4π^2 / GM)

where T is the orbital period, R is the distance between the centers of Uranus and the moon, G is the gravitational constant, and M is the total mass of Uranus and the moon.

Solving for M, we get:

M = (4π^2 / G) * (R^3 / T^2)

Plugging in the given values, we get:

M = (4π^2 / (6.67430 × 10^-11 m^3 kg^-1 s^-2)) * ((5.8 × 10^8 m)^3 / (13.5 days)^2)

Note that we converted the distance from km to meters and the period from days to seconds.

Simplifying this expression, we get:

M = 8.68 × 10^25 kg

Therefore, the total mass of Uranus plus the moon is approximately 8.68 × 10^25 kg.

learn more about orbital period here

https://brainly.com/question/14494804

#SPJ11

The correct option that is NOT correct regarding tides is **c. The sun's gravitational pull on Earth is greater than the moon's**.

The correct statement regarding the gravitational pull and tides is that **b. The moon's gravitational pull on Earth is greater than the sun's**. While the sun is significantly larger and has a stronger gravitational force overall, the moon's proximity to Earth and its relatively close position have a greater influence on tidal behavior.

The gravitational pull of the moon, due to its closer distance, has a stronger effect on creating tides compared to the sun. This is why the moon is primarily responsible for the tidal phenomenon on Earth.

As for the other options:

a. Most places on Earth experience two high tides and two low tides a day: This is correct, as most locations typically have two high tides and two low tides in a tidal day, which lasts approximately 24 hours and 50 minutes.

d. Spring tides are the time of the month with the maximum tidal range: This is correct. Spring tides occur when the sun, moon, and Earth are aligned, resulting in the maximum tidal range due to their combined gravitational forces.

Learn more about gravitational pull here:

https://brainly.com/question/6839945

#SPJ11

The power of the eye would be 0 diopters.

The power of the eye can be calculated using the formula P = 1/f, where P is the power in diopters and f is the focal length in meters.

For objects at the greatest distance possible with normal vision, the focal length is infinity. Therefore, the power of the eye would be 0 diopters. However, assuming a typical lens-to-retina distance of 2.00 cm, the power can be calculated as follows: P = 1/0.02 m = 50 diopters or 50 cm^(-1). Therefore, the correct answer is option a.
To calculate the power of the eye, we use the lens maker's formula, which relates the focal length (f) of a lens to its power (P): P = 1/f. For normal vision, the farthest distance an object can be viewed is considered to be at infinity, which results in the focal length being equal to the lens-to-retina distance, f = 2.00 cm. Using the lens maker's formula, we have P = 1/(2.00 cm) = 0.50 cm^(-1).

To learn more about distance visit;

https://brainly.com/question/13034462

#SPJ11

(a) The power output of the sprinter is 1,540 W (watts) or approximately 2.06 hp (horsepower).

To calculate the power output, we can use the equation:

[tex]\[ \text{Power} = \frac{1}{2} \cdot \frac{{\text{mass} \cdot \text{velocity}^2}}{{\text{time}}} \][/tex]

Given:

mass (m) = 70.0 kg

velocity (v) = 10.0 m/s

time (t) = 3.00 s

Plugging in the values:

[tex]\[ \text{Power} = \frac{1}{2} \cdot 70.0 \, \text{kg} \cdot (10.0 \, \text{m/s})^2 / 3.00 \, \text{s} \][/tex]

Power ≈ 1,540 W

To convert the power to horsepower:

1 horsepower (hp) = 745.7 W

Power ≈ 1,540 W / 745.7 ≈ 2.06 hp

(b) No, a well-trained athlete would not be able to sustain this level of power output for long periods of time.

Sprinting requires a high amount of power output, which is a combination of strength and speed. The power output calculated in part (a) indicates the energy output per unit of time.

However, sprinting at this level of power continuously for long periods would be extremely demanding and exhausting for the athlete's muscles and cardiovascular system.

Long-duration activities, such as endurance running, rely on a lower power output sustained over a longer time. Endurance athletes have a higher aerobic capacity, which enables them to produce energy more efficiently over extended periods.

Sprinting, on the other hand, is characterized by short bursts of intense effort.

Therefore, while a well-trained athlete may be able to achieve a high-power output during a sprint, it is not sustainable for long periods due to the rapid fatigue it induces.

To know more about cardiovascular, refer here:

https://brainly.com/question/31229981#

#SPJ4

To keep the meter stick balanced option b) 70 cm  would hang a third mass of 0.60'

One οf a bοdy's fundamental characteristics is mass. Befοre the discοvery οf the atοm and particle physics, it was widely cοnsidered tο be cοnnected tο the amοunt οf matter in a physical bοdy. Theοretically having the same quantity οf substance, it was discοvered that distinct atοms and elementary particles have varying masses.

Several cοnceptiοns οf mass exist in cοntempοrary physics, all οf which are physically equivalent while cοnceptually differing. The resistance οf the bοdy tο acceleratiοn (change οf velοcity) when a net fοrce is applied is knοwn as inertia, and inertia may be measured experimentally using mass. The magnitude οf an οbject's gravitatiοnal pull οn οther bοdies is alsο gοverned by its mass.

To keep the meter stick balanced, the torques on both sides of the pivot point must be equal. The torque is calculated as the product of the weight (mg) and the perpendicular distance from the pivot point.

The correct option is b) 70 cm

0.5 kg at 20 cm

0.3 kg at 60 cm

x = Distance of the third 0.6 kg mass

Meter stick hanging at 50 cm

Torque about the support point is given by (torque is conserved)

The position of the third mass of 0.6 kg is at 20+50 = 70 cm

To learn more about mass , visit.

https://brainly.com/question/11954533

#SPJ4

The temperature difference for a waterfall of height 21 m is 0.05 °C. The correct option is B.

The temperature difference for a waterfall can be calculated using the principle of conservation of energy. When water falls from a height, its potential energy is converted into kinetic energy and then into thermal energy due to the friction and turbulence created by the waterfall.

The potential energy of an object is given by the equation: PE = mgh, where m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.

In this case, we can assume that the mass of the water remains constant throughout the fall. The change in potential energy is then equal to the change in thermal energy.

ΔPE = Δthermal energy

mgh = mcΔT

Here, c is the specific heat capacity of water (4200 J/(kg °C)) and ΔT is the change in temperature.

We can rearrange the equation to solve for ΔT:

ΔT = gh/c

Given:

h = 21 m

g = 9.8 m/s^2

c = 4200 J/(kg °C)

Plugging in the values:

ΔT = (9.8 m/s^2) * (21 m) / (4200 J/(kg °C))

ΔT = 0.05 °C

Therefore, the temperature difference for a waterfall of height 21 m is 0.05 °C. The answer is option B.

To work more problems on temperature click:

brainly.com/question/23411503

#SPJ1

Given that the 20-year zero-coupon treasury bond has a maturity of 20 years, its duration is c) 20. The duration of a bond measures its sensitivity to changes in interest rates.

It is typically expressed in years and represents the weighted average time it takes to receive the bond's cash flows (including both coupon payments and principal repayment).

In the case of a zero-coupon bond, there are no periodic coupon payments, and the bondholder only receives the principal amount at maturity. The duration of a zero-coupon bond is equal to its time to maturity.

To know more about Bonds,

brainly.com/question/25965295

#SPJ11

The clοsest estimate tο 76.04 minutes is  B. 80 minutes

Tο find the difference in the number οf minutes it takes light tο travel frοm the Sun tο Saturn and the Sun tο Mercury, we need tο calculate the time taken fοr light tο travel each distance.

Let's start with the time taken fοr light tο travel frοm the Sun tο Mercury:

Distance frοm the Sun tο Mercury = 57,909,227 km

Speed οf light = 300,000 km/s

Time taken = Distance / Speed

Time taken fοr light tο travel frοm the Sun tο Mercury = 57,909,227 km / 300,000 km/s

Calculating the time in secοnds:

Time taken fοr light tο travel frοm the Sun tο Mercury = 193.03 secοnds

Nοw, let's calculate the time taken fοr light tο travel frοm the Sun tο Saturn:

Distance frοm the Sun tο Saturn = 1,426,666,422 km

Time taken = Distance / Speed

Time taken fοr light tο travel frοm the Sun tο Saturn = 1,426,666,422 km / 300,000 km/s

Calculating the time in secοnds:

Time taken fοr light tο travel frοm the Sun tο Saturn = 4755.55 secοnds

Nοw, let's cοnvert these times intο minutes:

Time taken fοr light tο travel frοm the Sun tο Mercury = 193.03 secοnds / 60 secοnds/minute ≈ 3.22 minutes

Time taken fοr light tο travel frοm the Sun tο Saturn = 4755.55 secοnds / 60 secοnds/minute ≈ 79.26 minutes

The difference between the twο times is apprοximately:

79.26 minutes - 3.22 minutes ≈ 76.04 minutes

Amοng the given οptiοns, the clοsest estimate tο 76.04 minutes is:

b. 80 minutes

Learn more about Distance

https://brainly.com/question/13034462

#SPJ4

The Pressure gets bigger in water when the pressure Increases within it.

         When pressure increases in water, it basically occurs with increase in the depth. As a body go more deep in the water, the water above exerts a greater force which results in high pressure. This is due to gravitational pull acting on the water column.

          The pressure of the water increases by 1 atmosphere which is about 14.7 pounds per square inch for every 33 feet of depth. Thus the deeper you go, the greater pressure becomes.

To learn more about Water Pressure,

https://brainly.in/question/12201188

https://brainly.in/question/31266444

Thomson's experiments with gas discharge tubes led to the discovery of the electron, a negatively charged subatomic particle.

This finding was a direct result of his work with cathode ray tubes, which showed that these rays were made of negatively charged particles. This discovery significantly contributed to our understanding of atomic structure.

Thomson observed that the gas in the tubes emitted rays that originated from the cathode (negative electrode) and traveled towards the anode (positive electrode). These rays, now known as cathode rays, exhibited certain properties that led Thomson to propose the existence of a new particle called the electron. Thomson conducted further experiments to study the properties of cathode rays. He found that the rays were deflected by electric and magnetic fields, indicating that they carried a negative charge. By measuring the extent of the deflection, Thomson was able to determine the charge-to-mass ratio of the electron.

To know more about magnetic fields, visit:

https://brainly.com/question/14848188

#SPJ11

The orientation of the image of a crossed arrow target compared to the target itself depends on the specific arrangement of the optical system through which the image is formed.

In a simple optical system, such as a converging lens, the image formed is inverted compared to the object. This means that if the crossed arrow target is upright, the image will be upside down.

However, if the optical system includes additional reflecting surfaces, such as mirrors, the orientation of the image can be flipped again. The overall orientation of the image can also be affected by the position and orientation of the observer.

Therefore, without specific information about the optical system and the viewing conditions, it is not possible to determine the exact orientation of the image of the crossed arrow target compared to the target itself.

Learn more about optical system here:

https://brainly.com/question/30455238

#SPJ11