An exceptional standing jump would raise a person 0.79 m off the ground. to do this, what force must a 79 kg person exert against the ground? assume the person crouches a distance of 0.19 m prior to jumping, and thus the upward force has this distance to act over before he leaves the ground.

Answers

Answer 1
Given:

Mass of a person, m =79 kg
Distance, d = (0.79 m + 0.19 m) = 0.98 m

Required: Force, F

Solution:

Working Formula:

Force = weight x distance
F = w x d

where: w = mass x gravitational force
            
d = distance

F = (79)*(9.81)*(0.98) = 759.5 Joules

ANSWER: 759.5 Joules

Related Questions

Part a consider a bird that flies at an average speed of 10.7 m/s and releases energy from its body fat reserves at an average rate of 3.70 w (this rate represents the power consumption of the bird). assume that the bird consumes 4.00g of fat to fly over a distance db without stopping for feeding. how far will the bird fly before feeding again?

Answers

436 km The conversion factor between kilocalorie/hour and watts is 1.163 (1 kcal/hr = 1.163 watt). So let's convert the energy consumption of the bird from watts to kcal/hr 3.7 w / 1.163 w hr/kcal = 3.18 kcal /hr 1 gram of fat has 9 kcal, so the total number of kcals consumed will be 4 * 9 = 36. So the bird can fly for 36/3.18 = 11.32 hours The distance traveled will be 11.32 h * 3600 s/h * 10.7 m/s / 1000 m/km = 436 km

A 500 lb steel beam is lifted up by a crane to a height of 100 ft and is held there.
A) How much work is being done to hold the beam in place?
B) How much work was done to lift the beam?
C) How much work would it take if the steel beam were raised from 100 ft to 200ft?

Answers

A. How much work is being done to hold the beam in place?

Work is the product of Force and Displacement. Since there is no Displacement involved in just holding the beam in place, hence the work is zero.

 

B. How much work was done to lift the beam?

In this case, force is simply equal to weight or mass times gravity. Hence the work is:

Work = weight * displacement

Work = 500 lbf * 100 ft

Work = 50,000 lbf * ft

 

C. How much work would it take if the steel beam were raised from 100 ft to 200ft?

The displacement is still 100 ft since 200 – 100 = 100 ft, hence the work done is still similar in B which is:

Work = 50,000 lbf * ft

a toy projectile is fired from the ground vertically upward with an initial velocity of 26.5 m/s. The project arrives at its maximum altitude in 2.7s.

Determine the greatest height the projectile reaches. How do you know?

Answers

To work with projectile motion equations, it’s best to solve the equations in terms of x and y. In this problem, we know that we are working with only the y-axis because the projectile is launched vertically upwards with no angle. We can exclude working with our equations for the x-axis and look at the variables and equations we have for the y-axis.

Known variables along the y-axis
Viy = 26.5 m/s (initial velocity)
Vfy = 0 m/s (final velocity at max height)
ay = -g = 9.8m/s²
Siy = 0 m (toy launched from ground)
Sfy = ? = max height when t=2.7s
t = 2.7s

We can use equation Sfy = (Viy•t) - 1/2gt²
= (26.5•2.7) - 1/2(9.8)(2.7)²
= 35.83 m

Therefore, the greatest height the projectile reaches when launched from the ground with a velocity of 26.5m/s is 35.83m

Hope this helps!

Answer:

35.8 m

Explanation:

Given:

Initial Velocity u = 26.5 m/s

Time period t = 2.7 s

To find:

Maximum height H = ?

Solution:

The toy is projected vertically upward. So the motion is happening in y axis

When a projectile reaches its maximum height, at that point its velocity vill be zero

Using equations of motion we can find the height

[tex]v^{2} =u^{2} -2gH\\\\0^{2} =26.5^{2} -2\times 9.8 \times H\\\\19.6H = 702.25\\\\H = 35.8 m[/tex]

Verification

[tex]H = ut - \frac{1}{2} gt^{2}\\\\H = 26.5 \times 2.7- 0.5 \times 9.8 \times 2.7^{2}\\\\H = 35.8 m[/tex]

How are stars important to the Milky Way

Answers

Stars are a source of light and heat. They recycle all the matter, gas, and dust and process them into new material. They were created as a major driving force of evolution of the universe. 
stars are the light and heat of the milky way the stars work with the milky way like the sun works with the earth the stars keep the milky way lit up and semi  warm like how the sun (which is a star of the milky way )  keeps the earth warm. Just remember that stars r just very big balls of gas burning in the sky :)

Is the 3 in the molecule a coefficient, subscript, or element? 3H₂O₂

Answers

coefficient
       
Let's look at the 3 possibilities and see what they are for 3H₂O₂ coefficient - This is used to indicate that multiple molecules are used for the formula. In 3H₂O₂ that indicates that we are talking about 3 molecules of H₂O₂ subscript - This is a small number set in a smaller font and placed low to the elements. It indicates the number of each type of atom in the compound. For the formula 3H₂O₂ there are 2 subscripts. Both of them being the number "2" set small and low just after the letters H and O. Those subscripts indicate that there are 2 hydrogen and 2 oxygen atoms per molecule. element - This is the abbreviation for the elements used in the compound. In 3H₂O₂ there are 2 different elements. H to indicate hydrogen, and O to indicate oxygen.

Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. these are called geosynchronous orbits. the radius of the earth is 6.37 * 106 m, and the altitude of a geosynchronous orbit is 3.58 * 107 m 1â22,000 miles2. what are (a) the speed and (b) the magnitude of the acceleration of a satellite in a geosynchronous orbit?

Answers

Refer to the diagram shown below.

Given:
R = 6.37 x 10⁶ m, the radius of the earth
h = 3.58 x 10⁷ m, the height of the satellite above the earth's surface.
Therefore
R + h = 4.217 x 10⁷ m

In geosynchronous orbit, the period of rotation is 1 day.
Therefore the period is
T = (24 h)*(60 min/h)*(60 s/min) = 86400 s

The angular velocity is
ω = (2π rad)/(86400 s) = 7.2722 x 10⁻⁵ rad/s

Part (a)
The tangential speed is
v = (R+h)*ω
   = (4.217 x 10⁷ m)*(7.2722 x 10⁻⁵ rad/s) 
   = 3066.7 m/s
   = 3.067 km/s

Part (b)
The centripetal acceleration is
a = v²/(R+h)
   = (3066.7 m/s)²/(4.217 x 10⁷ m)
   = 0.223 m/s²

Answers:
(a) The speed is 3.067 km/s
(b) The acceleration is 0.223 m/s²

Final answer:

The speed of a satellite in a geosynchronous orbit is approximately 2.98 km/s, and the magnitude of the acceleration is approximately 1.92 x 10^-3 m/s^2.

Explanation:

To determine the speed of a satellite in a geosynchronous orbit, we can use the formula:

speed = 2 x π x radius / period

Given that the radius of the Earth is 6.37 * 10^6 m and the altitude of a geosynchronous orbit is 3.58 * 10^7 m, we can use the formula to calculate the speed:

speed = 2 x 3.14 x (6.37 * 10^6 + 3.58 * 10^7) / (24 x 60 x 60)

The magnitude of the acceleration of a satellite in a circular orbit can be calculated using the formula:

acceleration = (velocity)^2 / radius

Using the calculated speed and the radius of the orbit, we can find the magnitude of the acceleration:

acceleration = (2.98 x 10^3)^2 / (6.37 * 10^6 + 3.58 * 10^7)

Therefore, the speed of a satellite in a geosynchronous orbit is approximately 2.98 km/s and the magnitude of the acceleration is approximately 1.92 x 10^-3 m/s^2.

People watching their team lose important games often make faces, yell at the screen, and demonstrate general agitation. Although they aren't playing the game themselves, they may be able to experience the frustration felt by the players because of ________________ activity in the brain

Answers

The premotor cortex of the brain is responsible for this type of behavior.  Mirror neurons are activated during these times. The mirror neuron situated in the premotor cortex copies the behaviors or feelings observed, therefore, people watching exhibit the same behavior and feelings as the player itself when they lose a game.

A head-on, elastic collision between two particles with equal initial speed v leaves the more massive particle (mass m1) at rest. find the ratio of the particle masses

Answers

1/3 The key thing to remember about an elastic collision is that it preserves both momentum and kinetic energy. For this problem I will assume the more massive particle has a mass of 1 and that the initial velocities are 1 and -1. The ratio of the masses will be represented by the less massive particle and will have the value "r" The equation for kinetic energy is E = 1/2MV^2. So the energy for the system prior to collision is 0.5r(-1)^2 + 0.5(1)^2 = 0.5r + 0.5 The energy after the collision is 0.5rv^2 Setting the two equations equal to each other 0.5r + 0.5 = 0.5rv^2 r + 1 = rv^2 (r + 1)/r = v^2 sqrt((r + 1)/r) = v The momentum prior to collision is -1r + 1 Momentum after collision is rv Setting the equations equal to each other rv = -1r + 1 rv +1r = 1 r(v+1) = 1 Now we have 2 equations with 2 unknowns. sqrt((r + 1)/r) = v r(v+1) = 1 Substitute the value v in the 2nd equation with sqrt((r+1)/r) and solve for r. r(sqrt((r + 1)/r)+1) = 1 r*sqrt((r + 1)/r) + r = 1 r*sqrt(1+1/r) + r = 1 r*sqrt(1+1/r) = 1 - r r^2*(1+1/r) = 1 - 2r + r^2 r^2 + r = 1 - 2r + r^2 r = 1 - 2r 3r = 1 r = 1/3 So the less massive particle is 1/3 the mass of the more massive particle.

The ratio of the particle masses is \boxed{\frac{1}{3}} or \boxed3 .

Further explain:

We have to calculate the ratio of the particle masses.

As we know, in the elastic collision between two masses the momentum and the energy both are conserved.

Here, the collision between the masses the head-on it means head to head.

For head on head collision the masses will travel parallel but opposite in the direction.

We have two masses one is heavier and another is lighter.

The mass of massive or heavier particle is [tex]{m_1}[/tex].  

The mass of the lighter particle is [tex]{m_2}[/tex].  

From the conservation of linear momentum total initial momentum is equal to the total final momentum.

Therefore,

[tex]\boxed{\left( {{m_1}v - {m_2}v} \right) = \left( {{m_1}{v_1} + {m_2}{v_2}} \right)}[/tex]

Here, after the collision the massive particle comes into rest.

So, final expression will be,

[tex]\left( {{m_1}-{m_2}}\right)v={m_2}{v_2}[/tex]                                   …… (1)

From the conservation of the energy,

Total kinetic energy before collision is equal to the total kinetic energy after collision.

Therefore,

[tex]\begin{aligned}\frac{1}{2}{m_1}{v^2}+\frac{1}{2}{m_2}{v^2}&=\frac{1}{2}{m_2}{\left( {{v_2}} \right)^2}\\{m_1}{v^2}+{m_2}{v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\left( {{m_1}+{m_2}}\right){v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\end{aligned}[/tex] 

Simplify the above equation,

[tex]\begin{aligned}{m_2}{\left( {{v_2}} \right)^2}&=\frac{{\left( {{m_1}+{m_2}} \right){v^2}}}{{{m_2}}}\\{v_2}&=\left( {\sqrt {\frac{{\left( {{m_1}+{m_2}} \right)}}{{{m_2}}}} }\right)v\\\end{aligned}[/tex]

 

Substitute the value of [tex]{v_2}[/tex] in equation (1).

[tex]\begin{aligned}\left( {{m_1} - {m_2}} \right)v&={m_2}\left( {\sqrt {\frac{{\left( {{m_1} + {m_2}}\right)}}{{{m_2}}}} } \right)v \\\left( {{m_1} - {m_2}} \right)&=\sqrt {{m_2}\left( {{m_1} + {m_2}}\right)}\\{m_2}\left( {\frac{{{m_1}}}{{{m_2}}} - 1}\right)&={m_2}\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}} + 1} \right)}\\\left( {\frac{{{m_1}}}{{{m_2}}}-1}\right)&=\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}}+ 1}\right)}\\\end{aligned}[/tex]

 

Substitute [tex]x[/tex] for[tex]\dfrac{{{m_1}}}{{{m_2}}}[/tex] in above equation.

[tex]\left( {x - 1} \right)=\sqrt {\left( {x + 1} \right)}[/tex]

 

Squaring both the sides in above equation,

[tex]\begin{aligned}{\left( {x - 1} \right)^2}&=\left( {x + 1}\right)\\{x^2} - 2x + 1&=x + 1\\{x^2}-3x&=0\\\end{aligned}[/tex]

 

Taking [tex]x[/tex] as a common in the above equation.

[tex]x\left( {x - 3} \right)=0[/tex]

On solving above equation

We get,

[tex]x = 3[/tex]

Replace the value of [tex]x[/tex]  

[tex]\boxed{\frac{{{m_1}}}{{{m_2}}} = 3}[/tex]

 

Or,

[tex]\boxed{\frac{{{m_2}}}{{{m_1}}} = \frac{1}{3}}[/tex]  

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Answer details:

Grade: Senior School

Subject: Physics

Chapter: Impulse and Momentum

Keywords:

Head on collision, two particles, equal speed, ratio of particle masses, momentum, conservation of momentum, energy, conservation of energy, masses, ratio.

What is tarzan's speed vf just before he reaches jane? express your answer in meters per second to two significant figures?

Answers

Before swinging, T has only potential energy, (no speed)
Ui = mgh
Where h is the vertical displacement of T
From the laws of geometry,
cos45 = (L-h)/L
cos45 = 1-h/L
h/L = 1-cos45
h = L(1-cos45)

Therefore
Ui = mgL(1-cos45)

Proceeding the same way,
Twill raise to aheight of h' due to swing
h' = L(1-cos30)
The PE of T after swing is
Uf = mgh'
Uf = mgL(1-cos30)

Along with the PE , T has some kinetic energy results due to the moment.
Tf = 0.5*mv^2

According to the law of conservation of energy,
Ui = Uf+Tf
mgL(1-cos45) = mgL(1-cos30) + 0.5*mv^2
gL(co30-cos45) = 0.5*v^2
9.8*20*(co30-cos45) = 0.5*V^2
v = 7.89 m/s

The speed f T after swing is 7.89 m/s

A 1000-kg car traveling at 70 m/s takes 3 m to stop under full braking. the same car under similar road conditions, traveling at 140 m/s, takes ______________ m to stop under full braking.

Answers

We assume [tex]a=const[/tex] (acceleration is constant. We apply the equation
[tex]v^2=v0^2+2as[/tex] where s is the distance to stop [tex]v=0(m/s)[/tex]. We find the acceleration from this equation
[tex]a=-v0^2/(2s)=-70^2/(2*3) =-816.7 (m/s^2) [/tex]
We know the acceleration, thus we find the distance necesssary to stop when initial speed is [tex]v=140 (m/s)[/tex]
[tex]s=-v0^2/(2a) =140^2/(2*816.7)=12 (m)[/tex]

Final answer:

This physics problem involves the principle of kinetic energy and work-energy. Given the situation presented, the increase in the car's kinetic energy due to a doubling of initial speed means that the braking stopping distance quadruples from 3 meters to 12 meters.

Explanation:

This Physics problem concerns the relationship between velocity, mass, and stopping distance under braking conditions. It's dealing with the principle of kinetic energy (1/2*m*v²) and the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.

If the initial speed is doubled, as it is in this case from 70 m/s to 140 m/s, the kinetic energy (and thus the work needing to be done to stop the vehicle) quadruples, assuming the mass stays constant. This means, due to the direct relationship between work done and distance when force is held constant, the stopping distance will also quadruple from the original 3 meters.

Therefore, the 1000-kilogram car, when moving at 140 m/s, will take 12 meters to stop under full braking in similar conditions.

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A mirror faces a cliff located some distance away. mounted on the cliff is a second mirror, directly opposite the first mirror and facing toward it. a gun is fired very close to the first mirror. the speed of sound is 336 m/s. how many times does the flash of the gunshot travel the round-trip distance between the mirrors before the echo of the gunshot is heard?

Answers


The speed of light is  299,792,468 m/s .

The speed of sound is  336 m/s .

The speed of light is (299,792,458 / 336) = 892,239 times the speed of sound.

By the time the sound has reached the side of the cliff and echoed
back to the shooter's position, the flash of the shot has made the same
round trip  892,239 times.

(Maybe possibly perhaps only 892,238 times, since the speed of light
is slightly slightly slightly slightly less in air.)

The flash travels the round-trip distance approximately 1,000,000 times.

The speed of sound is 336 m/s, and the speed of light (which represents the speed at which the flash travels) is approximately [tex]3\times 10^8 m/s[/tex].

Let's denote the distance between the mirrors as d. The time it takes for the sound to travel the round trip (to the cliff and back) is [tex]2d/336[/tex]seconds. During this time, the flash of light travels at [tex]3\times10^8m/s.[/tex]

To find out how many times the flash of light can travel the round-trip distance before the sound is heard, we calculate:

[tex]\text{Number of round trips}=(3\times10^8\times2d/336)/2d=(3\times10^8)/336\approx1000,000[/tex]

Thus, the flash of the gunshot travels the round-trip distance approximately 1,000,000 times before the echo of the gunshot is heard.

A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. at what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?

Answers

Final answer:

The angle between the string and the horizontal is decreasing at a rate of -0.4 radians/second.

Explanation:

In order to solve this problem, we can use trigonometry and the chain rule from calculus. Let's denote the angle between the string and the horizontal as θ. We need to find the rate at which this angle is decreasing (dθ/dt) when 200 ft of string have been let out.

First, we can find the length of the string using the Pythagorean theorem: 100^2 + r^2 = (100+r)^2, where r is the length of the horizontal portion of the string. Solving this equation gives us r = 50 ft.

Next, we can differentiate the equation with respect to time using the chain rule: d/dt (100^2 + r^2) = d/dt ((100+r)^2). Simplifying the equation and solving for dθ/dt gives us dθ/dt = -100/(r+r^2/100).

Plugging in r = 50 ft, we can find dθ/dt = -0.4 radians/second.

A small smooth object slides from rest down a smooth inclined plane inclined at 30 degrees to the horizontal. What is (i) the acceleration

Answers

I believe it would be F*sin(30)/m

If a baseball pitch leaves the pitcher's hand horizontally at a velocity of 150 km/h by what percent will the pull of gravity change the magnitude of the velocity when the ball reaches the batter, 18 m away? for this estimate, ignore air resistance and spin on the ball.

Answers

0.52% First, let's convert that speed into m/s. 150 km/h * 1000 m/km / 3600 s/h = 41.667 m/s Now let's see how much time gravity has to work on the ball. Divide the distance by the speed. 18 m / 41.667 m/s = 0.431996544 s Now multiply that time by the gravitational acceleration to see what the vertical component to the ball's speed that gravity adds. 0.431996544 s * 9.8 m/s^2 = 4.233566131 m/s Use the pythagorean theorem to get the new velocity of the ball. sqrt(41.667^2 + 4.234^2) = 41.882 m/s Finally, let's see what the difference is (41.882 - 41.667)/41.667 = 0.005159959 = 0.5159959% Rounding to 2 figures, gives 0.52%

Renee is on Spring Break and pulling her 21-kg suitcase through the airport at a constant speed of 0.47 m/s. She pulls on the strap with 120 N of force at an angle of 38° above the horizontal. Determine the normal force and the total resistance force (friction and air resistance) experienced by the suitcase.

Answers

Final answer:

The normal force is calculated by adding the weight of the suitcase and the vertical component of pulling force, while total resistance force is equal to the horizontal component of pulling force. Both forces play a significant role in Renee's effort to move the suitcase at a constant speed.

Explanation:

Here's how to find the normal force and the total resistance force for Renee's suitcase:

Normal Force: The normal force is the force exerted by a surface that supports the weight of an object resting on it. It acts perpendicular to the surface. In this case, there are two components to Renee's force - the horizontal and the vertical. The vertical component of the force can be calculated using the formula F = F_pull*sin(angle), where F_pull is the force with which Renee pulls the suitcase (120 N) and the angle is 38°. After calculating the vertical component of the force, you subtract it from the weight of the suitcase (mass*gravity) to get the normal force. Total Resistance Force: The total resistance force is the force that opposes the motion of the suitcase. In this case, at constant speed, the total resistance force is equal to the horizontal component of the pulling force. This can be calculated using the formula F = F_pull*cos(angle).

Remember, while calculating remember to convert the angle to radians if your calculator is set to radian mode.

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Final answer:

To find the normal force on Renee's suitcase, we resolve the pulling force into its components and subtract the vertical component from the suitcase's weight. As the suitcase is moving at a constant speed, the horizontal component equals the resistance force, which includes both friction and any air resistance.

Explanation:

Renee is pulling her 21-kg suitcase at a constant speed of 0.47 m/s through the airport. To determine the normal force acting on the suitcase, we need to consider the components of the pulling force. The force has a magnitude of 120 N and is exerted at an angle of 38° above the horizontal. We must resolve this force into vertical and horizontal components. The vertical component (Fy) helps support the weight of the suitcase and is calculated as Fy = 120 N × sin(38°). The weight of the suitcase is W = m × g, where m is the mass of the suitcase and g is the acceleration due to gravity (9.8 m/s²).

The normal force is given by N = W - Fy since the vertical component of the pulling force acts upwards, reducing the normal force exerted by the ground. As the suitcase is moving at a constant speed, the net horizontal force must be zero. Therefore, the horizontal component of the pulling force, which is Fx = 120 N × cos(38°), must be equal to the total resistance force (friction + air resistance).

The equations to find the normal force and resistance force are:

N = (21 kg × 9.8 m/s²) - (120 N × sin(38°))resistance force = 120 N × cos(38°)

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Twenty students were surveyed to find out how many hours of tv they watch during a school week

Answers

Based on the survey of twenty students, the average number of hours watched during a school week is four.

Step 1: Gather Data

- Let's assume we have the following data from the survey:

| Student | Hours of TV watched (per week) |

|---------|--------------------------------|

| 1       | 3                              |

| 2       | 2                              |

| 3       | 4                              |

| ...     | ...                            |

| 20      | 5                              |

Step 2: Calculate the Total Hours of TV Watched

- Add up all the hours reported by each student.

Total Hours = 3 + 2 + 4 + ... + 5

Step 3: Calculate the Average Hours

- Divide the total hours by the number of students surveyed.

Average Hours = Total Hours / Number of Students

Now, let's perform the calculations.

Given:

Number of students surveyed (N) = 20

Hours of TV watched by each student:

Student 1: 3 hours

Student 2: 2 hours

Student 20: 5 hours

Step 2: Calculate the Total Hours

Total Hours = 3 + 2 + 4 + ... + 5

Total Hours = (3 + 2 + 4 + ... + 5) (20 times)

We can simplify this by realizing that we're adding the same number (the hours of TV watched by each student) 20 times:

Total Hours = (3 + 2 + 4 + ... + 5) (20 times)

           = (3 + 2 + 4 + ... + 5) * 20

Step 3: Calculate the Average Hours

Average Hours = Total Hours / Number of Students

             = (Total Hours) / 20

Now, let's find the sum of the hours:

Sum of hours = 3 + 2 + 4 + ... + 5

To find the sum, we can use the formula for the sum of an arithmetic series:

[tex]\[S = \frac{n}{2}(a_1 + a_n)\][/tex]

where:

- (S) is the sum of the series,

- (n) is the number of terms in the series,

- (a_1) is the first term in the series, and

- (a_n) is the last term in the series.

In our case:

(n = 20 (number of students surveyed),

a_1 = 3 (hours of TV watched by the first student), and

a_n = 5 (hours of TV watched by the last student).

[tex]\[S = \frac{20}{2}(3 + 5)\][/tex]

S = 10(8)

S = 80

Now, let's plug this sum into the formula for the average:

Average Hours = Total Hours / Number of Students

             = 80 / 20

             = 4

So, on average, the students surveyed watch 4 hours of TV during a school week.

complete question :

Twenty students were surveyed to determine the number of hours they watch TV during a school week. The data collected from the survey are as follows (in hours):

3, 5, 8, 2, 4, 6, 7, 5, 3, 9, 10, 1, 4, 7, 8, 6, 5, 2, 3, 7.

What is the wavelength of a photon whose energy is twice that of a photon with a 600 nm wavelength?

Answers

Planck's equation states that
E = hf
where
E =  the energy,
h = Planck's constant
f =  the frequency

Because
c = fλ
where
c =  velocity of light,
λ = wavelength
therefore
E = h(c/λ)

Photon #1:
The wavelength is λ₁ = 60 nm.
The energy is
E₁ = (hc)/λ₁

Photon #2:
The energy is twice that of photon #1, therefore its energy is
E₂ = 2E₁ = (hc)/λ₂.

Therefore
[tex] \frac{E_{2}}{E_{1}}= \frac{(hc)/\lambda_{2}}{(hc)/60 \, nm} =2\\ \frac{60}{\lambda_{2}} =2 \\ \lambda_{2} = \frac{60}{2} =30 \, nm [/tex]

Answer:  30 nm

The wavelength of the photon having twice the energy as that of the photon of wavelength [tex]600\,{\text{nm}}[/tex] is [tex]\boxed{300\,{\text{nm}}}[/tex] .

Further Explanation:

The photons are the small packets of energy that move at the speed of light. The photons are considered to remain always in motion. The energy associated with a moving photon is given by:

[tex]E = \dfrac{{hc}}{\lambda }[/tex]

Here,  [tex]E[/tex]  is the energy associated with the photon, [tex]h[/tex] is the Planck’s constant, [tex]c[/tex] is the speed of light and [tex]\lambda[/tex] is the wavelength of the moving photon.

The value of the Planck’s constant is [tex]6.6 \times {10^{ - 34}}\,{\text{J}} \cdot {\text{s}}[/tex] .

The wavelength of the photon is [tex]600\,{\text{nm}}[/tex] .

The energy associated with the photon of wavelength [tex]600\,{\text{nm}}[/tex] is:

[tex]\begin{aligned}{E_1}&=\frac{{\left( {6.6 \times {{10}^{ - 34}}} \right) \times \left( {3 \times {{10}^8}} \right)}}{{600 \times {{10}^{ - 9}}}}\\&=\frac{{1.98 \times {{10}^{ - 25}}}}{{6 \times {{10}^{ - 7}}}}\\&= 3.3 \times {10^{ - 19}}\,{\text{J}}\\\end{aligned}[/tex]

The wavelength of photon having energy double of this:

[tex]\begin{aligned}E' &= 2{E_1}\\&= 2 \times\left( {3.3 \times {{10}^{ - 19}}} \right)\,{\text{J}}\\&{\text{ = 6}}{\text{.6}} \times {\text{1}}{{\text{0}}^{ - 19}}\,{\text{J}}\\\end{aligned}[/tex]

The new wavelength of the photon will be:

 [tex]\lambda ' = \dfrac{{hc}}{{E'}}[/tex]

Substitute [tex]6.6 \times {10^{ - 19}}\,{\text{J}}[/tex] for [tex]E'[/tex] in above expression.

[tex]\begin{aligned}\lambda ' &= \frac{{\left( {6.6 \times {{10}^{ - 34}}} \right) \times \left( {3 \times {{10}^8}} \right)}}{{6.6 \times {{10}^{ - 19}}}}\\&=\frac{{1.98 \times {{10}^{ - 25}}}}{{6.6 \times {{10}^{ - 19}}}}\,{\text{m}}\\&= 3.0 \times {10^{ - 7}}\,{\text{m}}\\&= 300\,{\text{nm}}\\\end{aligned}[/tex]

The wavelength of the photon having twice the energy as that of the photon of wavelength [tex]600\,{\text{nm}}[/tex] is [tex]\boxed{300\,{\text{nm}}}[/tex].

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Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Photon and Energy

Keywords:  Wavelength, photon, energy, E=hc/lamda, 600nm, twice the energy, Planck’s constant, small packets of energy, 300nm, speed of light.

A horizontal pipe of diameter 0.985 m has a smooth constriction to a section of diameter 0.591 m . the density of oil flowing in the pipe is 821 kg/m3 . if the pressure in the pipe is 8100 n/m2 and in the constricted section is 6075 n/m2 , what is the rate at which oil is flowing

Answers

To find the rate at which oil is flowing through a constricted pipe with different diameters and pressures, apply the principle of continuity.

A horizontal pipe of diameter 0.985 m has a smooth constriction to a section of diameter 0.591 m. The pressure in the pipe is 8100 N/m2, and in the constricted section, it is 6075 N/m2. The density of oil flowing in the pipe is 821 kg/m3.

To find the rate at which oil is flowing, we can apply the principle of continuity, which states that the product of the cross-sectional area and the fluid velocity is constant in a pipe with steady flow.

By applying the principle of continuity, you can calculate the rate at which oil is flowing through the pipe.

What is the frequency of radiation whose wavelength is 2.40 x 10-5 cm?

Answers

To begin, the formula for finding frequency when wavelength is known is "f = c / w" when c is the constant velocity (3 * 10^8 m/s). To convert the wavelength into a common form (m/s), it will have to be multiplied by 10^-2. This leaves the equation as "f = 3.0 * 10^8 / (2.4 * 10^-5 * 10^-2), or 2.4 * 10^-7. This gives 1.25 * 10^15 m/s as the frequency.

The speed of sound in water is measured to be 1485 m/s. what is this in mph?

Answers

it will bw ugh 3500mph in 

Answer:

v =  3321.85 mph

Explanation:

Equivalences :

1 mile = 1609.34 m

1 hour = 3600 seconds

Data

v= 1485 m/s : speed of sound in water

Problem Development

To calculate the speed of sound in mph (mile / hour), we multiply by the conversion factors using the equivalences:

[tex]v= (1485 \frac{m}{s} )*(\frac{1mile}{1609.34 m} )*(\frac{3600s}{hour})[/tex]

We cancel the units in seconds (s) and meters (m) to get the answer in miles per hour (miles / hour or mph)

[tex]v=\frac{1485*3600}{1609.34} \frac{mile}{hour}[/tex]

v= 3321.85 mile/hour

v =  3321.85 mph

on a very muddy football field, a 120 kg linebacker tackles an 75 kg halfback. immediately before the collision, the linebacker is slipping with a velocity of 8.6 m/s north and the halfback is sliding with a velocity of 7.4 m/s east.

Answers

B4 the tackle: 

The linebacker's momentum = 115 x 8.5 = 977.5 kg m/s north 

and the halfback's momentum = 89 x 6.7 = 596.3 kg m/s east 


After the tackle they move together with a momentum equal to the vector sum of their separate momentums b4 the tackle 

The vector triangle is right angled: 

magnitude of final momentum = √(977.5² + 596.3²) = 1145.034 kg m/s 

so (115 + 89)v(f) = 1145.034 ←←[b/c p = mv] 

v(f) = 5.6 m/s (to 2 sig figs) 


direction of v(f) is the same as the direction of the final momentum 

so direction of v(f) = arctan (596.3 / 977.5) = N 31° E (to 2 sig figs) 


so the velocity of the two players after the tackle is 5.6 m/s in the direction N 31° E 




btw ... The direction can be given heaps of different ways ... N 31° E is probably the easiest way to express it when using the vector triangle to find it
Final answer:

The question is about the conservation of momentum. By calculating each player's momentum before the collision and combining them, we find the resultant momentum. The velocity after the collision can then be found.

Explanation:

This is an example of conservation of momentum, a fundamental concept in physics. Whenever objects interact and there is no external force, the total momentum of the system of objects is conserved.

In the scenario given, the linebacker and the halfback can be regarded as a closed system because the only significant forces are their mutual ones. Before the collision, we can calculate the momentum for each player: the linebacker's momentum is mass x velocity = 120 kg x 8.6 m/s = 1032 kg.m/s (north), and the halfback's momentum is 75 kg x 7.4 m/s = 555 kg.m/s (east).

Using the law of vector addition, we can combine them to find the resultant momentum. We then divide the resultant momentum by the total mass (120 kg + 75 kg) to find the velocity of the resulting 'player blob' immediately after the collision.

Learn more about Conservation of Momentum here:

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A fan that can provide air speeds up to 55 m/s is to be used in a low-speed wind tunnel with atmospheric air at 23ºc. if one wishes to use the wind tunnel to study flatplate boundary layer behavior up to reynolds numbers of rex= 108, what is the minimum plate length that should be used? at what distance from the leading edge would transition occur if the critical reynolds number were rex,c= 5 à 105?

Answers

b is the correct answer

a hockey player has an acceleration of -3.1m/s2 how long does it take him come to a complete stop from a speed of 13m/s

Answers

Since his acceleration is not changing AND the acceleration is negative, we know that the hockey player is slowing down at a regular rate (i.e losing 3.1m/s, every second).

It's simple to then see that you just need to work out how many times 3.1 goes in to the starting velocity of 13m/s.

13 / 3.1 = 4.19 seconds

Does a person standing motionless in the aisle of a moving bus have kinetic energy

Answers

I believe so, yes.
 (i am just writing this so that it will allow me to post the answer
 
NO it would NOT  have kinetic energy  because he is not moving he is motionless :)

hope i helped :) 

What is the change in the ball's position from t=0s to t=1.0s? express your answer using two significant figures?

Answers

The change in position is the change of the position of the ball from initial to final. In this problem, we are given the initial position of the ball which is t=0s and the final position which is t=1.0s. Thus, the change in the ball's position from 0 to 1 second is 4.0 m 

A common small-molecular weight (and therefore fast diffusing for an organic molecule) ingredient in perfumes is vanillin, the primary component of vanilla bean extract (molecular weight = 152). the d for vanillin in air is 0.114 cm2/s. if i open a bottle of vanilla on the other side of the room 3 meters away, and the air is still so there is no convection, about how long would i have to wait before i could expect to smell the vanilla?

Answers

Using Fick's Law of Diffusion, it would take about 394,737 seconds for the scent of vanilla (vanillin) to travel 3 meters in still air, considering its diffusivity in the given conditions.

The time it takes for a scent to travel through air can be estimated using Fick's Law of Diffusion, which relates diffusion time to the diffusivity of the substance, the distance it needs to travel, and the area through which it diffuses.

Diffusion time = (Distance^2) / (2 * Diffusivity)

Given that the distance is 3 meters and the diffusivity (D) of vanillin in air is 0.114 cm^2/s, we need to convert the distance to centimeters before applying the formula:

Diffusion time = (300 cm)^2 / (2 * 0.114 cm^2/s)

Diffusion time ≈ 90,000 cm^2 / 0.228 cm^2/s

Diffusion time ≈ 394,737 seconds

So, it would take approximately 394,737 seconds for the smell of vanilla to reach you from a distance of 3 meters in still air.

Microwave ovens emit microwave energy with a wavelength of 12.4 cm. what is the energy of exactly one photon of this microwave radiation?

Answers

Formula- E = hc/ {wavelength} Given in quation-wavelength=12.4 cm We know the value of h and c. h=6.626 * 10^-34 Js c= 2.997 * 10^8 m/s wavelength=12.4 cm converted to 0.124 m E = [ 6.626 * 10^-34 Js * 2.997 * 10^8 m/s ] / 0.124 m E = 1.60 * 10^-24 J 1.60 * 10^-24 J of energy of exactly one photon of this microwave radiation have.

The energy of the photon emitted is about 1.60 × 10⁻²⁴ Joule

Further explanation

The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :

[tex]\large {\boxed {E = h \times f}}[/tex]

E = Energi of A Photon ( Joule )

h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )

f = Frequency of Eletromagnetic Wave ( Hz )

The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.

[tex]\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}[/tex]

[tex]\large {\boxed {E = qV + \Phi}}[/tex]

E = Energi of A Photon ( Joule )

m = Mass of an Electron ( kg )

v = Electron Release Speed ( m/s )

Ф = Work Function of Metal ( Joule )

q = Charge of an Electron ( Coulomb )

V = Stopping Potential ( Volt )

Let us now tackle the problem !

Given:

λ = 12.4 cm = 12.4 × 10⁻² m

h = 6.63 × 10⁻³⁴ Js

c = 3 × 10⁸ m/s

Unknown:

E = ?

Solution:

[tex]E = h \times \frac{c}{\lambda}[/tex]

[tex]E = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{12.4 \times 10^{-2}}[/tex]

[tex]E \approx 1.60 \times 10^{-24} ~ Joule[/tex]

Learn morePhotoelectric Effect : https://brainly.com/question/1408276Statements about the Photoelectric Effect : https://brainly.com/question/9260704Rutherford model and Photoelecric Effect : https://brainly.com/question/1458544

Answer details

Grade: College

Subject: Physics

Chapter: Quantum Physics

Keywords: Quantum , Physics , Photoelectric , Effect , Threshold , Wavelength , Stopping , Potential , Copper , Surface , Ultraviolet , Light

A flowerpot falls off a balcony 85m above the street how long does it take to hit the ground

Answers

The distance a falling object falls in some amount of time is

        D = 1/2  a  T²

If this flowerpot falls off a balcony on Earth, then 'a' is the
acceleration of gravity on Earth, and we can write

      85 m  =  1/2 (9.8 m/s²) T²

Divide each side by  4.9 m/s² :

      85/4.9  s²  =  T²

Square root each side:

      T  =  √(85/4.9)  seconds

          =      4.165 seconds .

It will take 4.12 s for the flowerpot to fall to the ground.

From the question given above, the following data were obtained:

Height (h) = 85 m

Time (t) =?

NOTE: Acceleration due to gravity (g) = 10 m/s²

The time taken for the flowerpot to fall to the ground can be obtained as follow:

H = ½gt²

85 = ½ × 10 × t²

85 = 5 × t²

Divide both side by 5

[tex]t^{2} = \frac{85}{5}\\\\t^{2} = 17[/tex]

Take the square root of both side

[tex]t = \sqrt{17}[/tex]

t = 4.12 s

Therefore, it will take 4.12 s for the flowerpot to fall to the ground.

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In general, which of the following is NOT a critical skill for participating in a sport? A. agility and balance B. endurance and muscle control C. hand-eye coordination and acuity D. none of the above

Answers

The answer is :D. None of the above

Agility and balance is very important in sport activities such as soccer, especially seen when players dribble the ball at high speed. Endurance and muscle control is very important in sport such as gymnastic or boxing. Hand-eye coordination and acuity is important in sports such as golf.

Answer:

the answer is d none of the above

Explanation:

Which characteristic does an object with a constant acceleration always have?

Answers

it always has changing velocity

Explanation:

By definition, the word acceleration is equal to the rate of change of velocity. Mathematically, it is given by :

[tex]a=\dfrac{dv}{dt}[/tex]

[tex]dv=a.dt[/tex]

[tex]v=\int\limits^t_0 {a.dt}[/tex]

Since, it is given that acceleration is constant

[tex]v=at+v_o[/tex]

v₀ is the constant of integration and it corresponds to initial velocity

From above equation, it is clear that when acceleration is constant the speed varies linearly. Hence, when an object move with constant acceleration, it always changes its velocity.

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