Answer:
1 is the y intercept
Explanation:
the y intercept is where the line crosses the y axis
Answer:
1
Explanation:
The straight line intercepts to the y coordinate at 1. This line is not proportional because it doesn't go through the origin (0,0).
Which of the following is the best example of a heat conductor?
Answer:
Anything with a dark shade in color and with no reflective surface or any metalExplanation:
In this case, a dark shirt or blanket would be a heat conductor as well as metal would be, too
A bike, a truck, and a train—all without passengers, motors, or engines—roll down the same hill. Put the vehicles in order from the least amount of motion energy to the most.
Answer:
Train Bike Truck
Explanation:
It is diffult to measure the volume of gas.Why?
Answer:
The volume of a gas is dependent on pressure and temperature.
Explanation:
Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.
:-befrank
Scientists observe an approaching asteroid that is on a collision course with
earth. they devise a plan to launch a rocket that will collide with the asteroid
inelastically and stop it. the mass of the asteroid is 7500 kg, and it is
approaching earth at 85 m/s. if the rocket has a mass of 900 kg,
approximately what velocity must it have to completely stop the asteroid after
collision?
a. 151 m/s
b-305 m/s
c. -708 m/s
d. 68 m/s
Answer:
I would have to be A
Explanation:
negative numbers wouldn't work here and 68 wouldn't be fast enough to stop it because the asteroid is much heavier than the rocket
: (a) A cosmic-ray proton in interstellar space has an energy of 13. 0 MeV and executes a circular orbit having a radius equal to that of Mars' orbit around the Sun (2. 28 x 10¹¹ m). What is the magnetic field (in T) in that region of space? (b) What If? The cosmic ray proton enters our solar system where the interplanetary magnetic field has a magnitude of 5. 00 m and is perpendicular to the velocity of the proton. What is the radius (in m) of the proton's circular orbit in this field?
We can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field and when the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity.
(a) To find the magnetic field in the region of space where the cosmic-ray proton is executing a circular orbit, we can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field. The centripetal force is given by the equation:
F = qvB
Where:
F is the centripetal force,
q is the charge of the particle (in this case, the charge of a proton),
v is the velocity of the particle,
B is the magnetic field strength.
The centripetal force can also be expressed as:
F = mv²/r
Where:
m is the mass of the proton,
v is the velocity of the proton,
r is the radius of the circular orbit.
Equating the two expressions for the centripetal force, we have:
qvB = mv²/r
Rearranging the equation, we can solve for the magnetic field B:
B = mv/rq
Given the energy of the proton (13.0 MeV), we can use the relation between energy and velocity for a particle with rest mass m:
E = mc² = (γ - 1)mc²
Where:
E is the energy of the particle,
m is the rest mass of the particle,
c is the speed of light,
γ is the Lorentz factor.
The Lorentz factor can be expressed as:
γ = E/mc² + 1
Substituting the given energy and rest mass of the proton, we can calculate the Lorentz factor.
Now, we can substitute the values of m, v, and r into the equation for the magnetic field B and solve for B.
(b) When the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity. In this case, the proton will follow a helical path in the magnetic field.
To find the radius of the proton's circular orbit in this field, we can use the formula for the radius of a helical path in a magnetic field:
r = mv/|q|B
Where:
m is the mass of the proton,
v is the velocity of the proton,
|q| is the magnitude of the charge of the proton,
B is the magnitude of the magnetic field strength.
Substituting the given values of m, v, and B into the equation, we can calculate the radius of the proton's circular orbit in this field.
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Which would be heavier—A ball of lead with a diameter of 2.00 cm or a cylinder of iron with a diameter of 3.00 cm and height of 8.00 cm.
Explanation:
i think a ball of lead with a diameter of 2.00 cm heavier
A soccer ball is kicked off a 150 m tall building and lands 30 m away. How long was the ball in the air?
a. The ball was in the air for 5.53 seconds.
b. The initial velocity of the ball is 54.194 m/s
c. The final velocity of the ball in the y direction is -54.194 m/s
d. The x component of the initial velocity is 50.926 m/s, and the y component is 18.534 m/s.
To solve these questions, we can use the equations of motion for projectile motion. Let's assume the acceleration due to gravity is -9.8 m/\(s^2\) (taking downward as the negative direction).
a. To find the time the ball was in the air, we can use the equation:
Δy = v_iy * t + (1/2) * a_y * \(t^2\)
Where Δy is the vertical displacement, v_iy is the initial vertical velocity, a_y is the vertical acceleration, and t is the time.
Since the ball was dropped from rest, its initial vertical velocity is 0 m/s, and the vertical displacement is -150 m (negative because it is going downward).
-150 = 0 * t + (1/2) * (-9.8) * \(t^2\)
Simplifying the equation and solving for t, we get:
4.9 * \(t^2\) = 150
\(t^2\) = 150 / 4.9
t ≈ 5.53 seconds
Therefore, the ball was in the air for approximately 5.53 seconds.
b. To find the initial velocity of the ball, we can use the equation:
v_fy = v_iy + a_y * t
Where v_fy is the final vertical velocity.
Since the ball lands 30 m away, its final vertical displacement is 0 m, and the time is 5.53 seconds.
0 = v_iy + (-9.8) * 5.53
Solving for v_iy, we get:
v_iy = 9.8 * 5.53
v_iy ≈ 54.194 m/s
Therefore, the initial velocity of the ball is approximately 54.194 m/s.
c. The final velocity of the ball in the y direction is the same as the initial velocity because the only force acting on it is gravity, which causes a constant acceleration. Therefore, the final velocity in the y direction is approximately -54.194 m/s (negative due to the downward direction).
d. When the ball is kicked off the building at an angle of 20 degrees below the horizontal, we need to find the x and y components of the initial velocity.
The magnitude of the initial velocity (from part b) is 54.194 m/s.
The x component of the initial velocity can be found using:
v_ix = v_i * cos(θ)
Where θ is the angle of 20 degrees below the horizontal.
v_ix = 54.194 * cos(20)
v_ix ≈ 50.926 m/s
The y component of the initial velocity can be found using:
v_iy = v_i * sin(θ)
v_iy = 54.194 * sin(20)
v_iy ≈ 18.534 m/s
Therefore, the x component of the initial velocity is approximately 50.926 m/s, and the y component is approximately 18.534 m/s.
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The question was Incomplete, Find the full content below:
A soccer ball is kicked off a 150 m tall building and lands 30 m away.
a. How long was the ball in the air?
b. What was the initial velocity of the ball?
C. What is the final velocity of the ball in the y direction?
d. Assume the ball has the same speed as you solved for in part b except it is kicked off the building at an angle of 20 degrees below the horizontal. What is the x component of the initial velocity? What is the y component of the initial velocity?
Question 5 of 20
Iron filings form a pattern around magnets. What does the pattern formed by
the iron filings around these two magnets show?
tonc
S
The pattern formed by iron filings around magnets shows the magnetic field lines produced by the magnets.
What are magnetic field lines?Magnetic field lines are described as imaginary lines, which depict the strength and direction of the magnetic field.
The iron filings align themselves along the magnetic field lines, which helps to provide a visual representation of the field's direction and shape. The filings tend to concentrate near the poles of the magnets, where the magnetic field is stronger.
This pattern is important as it helps visualize the magnetic field and understand its characteristics, such as the shape, direction, and strength of the magnetic field produced by the magnets.
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In an experiment to study the photoelectric effect, a beam of monochromatic light is aimed at a cathode. However, the cathode does not release electrons. Which change to the experiment is most likely to cause the release of electrons?
A. Increasing the frequency of the monochromatic light
B. Decreasing the frequency of the monochromatic light
C. Increasing the intensity of the monochromatic light
D. Aiming the beam of light at the anode instead of the cathode
The change to the experiment that is most likely to cause the release of electrons is increasing the frequency of the monochromatic light. Option A is correct.
The photoelectric effect is the emission of electrons from a metal surface when it is illuminated by light. According to the Einstein’s photoelectric effect equation, the kinetic energy of the emitted electrons depends on the frequency of the incident light. If the frequency of the incident light is below a certain threshold frequency, no electrons are emitted, even if the intensity of the light is increased.
Therefore, increasing the frequency of the monochromatic light will provide each photon with enough energy to liberate electrons from the cathode, leading to the release of electrons. Decreasing the frequency of the light would not provide enough energy, increasing the intensity does not increase the frequency, and aiming the beam of light at the anode does not guarantee the release of electrons from the cathode. Hence Option A is correct.
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Throwing a ball with more force to increase acceleration is an example of which of Newton’s Laws?
Answer:
Its the 2nd law of motion
Explanation:
Because it talks about force and acceleration
Throwing a ball with more force to increase acceleration is an example of Newton’s 2nd law of motion.
What is Newton's second law of motion?The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.Newton’s second law states that the acceleration of an object depends upon two variables – the net force acting on the object and the mass of the object. The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body. This means that as the force acting upon an object is increased, the acceleration of the object is increased. Likewise, as the mass of an object is increased, the acceleration of the object is decreased.To learn more about Newton’s second law, refer to: https://brainly.com/question/19030143
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2. best electric whishes to construct a new coal-fired plant in the southwest corner of michigan. best plans to use the best available technology for the scrubbers on the plant to reduce emissions. should best be able to obtain a permit from the epa to build and operate the proposed new electric plant? please briefly discuss the issues best faces for the proposed plant.
Best electric will be able to obtain a permit from the epa to build and operate the proposed new electric plant but on certain conditions.
Electricity is a powerful thing. In order to use its benefits, it is necessary that the amount of electricity in the grid corresponds with actual consumption needs. Due to the ever-increasing demand and growth in popularity of such advances as electric vehicles, there are several challenges power grid operators need to face.
Growing amount of renewable energy sources Electricity transmission losses Frequent power outages Electromobility Grid modernization Threat of cyber attacks Threat of terrorist attacksThe power sector is facing new and increasing challenges, like many other sectors, but it is also finding more innovative ways to overcome these hurdles. Overall, shoring up operations through digitization can help plant managers not only increase flexibility, but also win talent, prevent future threats, and—hopefully—rest easy at night.
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A cannonball is shot from a cannon at a very high speed. The force of the explosion will be experienced by the cannonball for several seconds (or a least a little while). Identify your answer, then explain your answer selection.True or false
Before the cannon ball is in the air this force is basically:
\(\begin{gathered} F_1=ma \\ a=0 \\ F_1=0 \end{gathered}\)And the force of the explosion is:
\(\begin{gathered} F_2=xN \\ Where: \\ x_{\text{ }}is_{\text{ }}an_{\text{ }}arbitrary_{\text{ }}amount \end{gathered}\)After this force is applied to the cannonball after being shooted;
\(\begin{gathered} F1=ma \\ a=-9.8\cdot\frac{m}{s^2} \end{gathered}\)So, the force of the cannonball only depends on the acceleration of gravity.
Therefre, tehe statement is False
A spring with a force constant of 5500 N/m and a rest length of 2.8 m is used in a catapult. When compressed to 1.0 m, it is used to launch a 54 kg rock. However, there is an error in the release mechanism, so the rock gets launched almost straight up. How high does it go (in m)
The rock goes to a height of approximately 13 m when launched by the compressed spring using the catapult.
Considering that the rock moves only in the vertical direction (due to a straight launch) with an initial velocity of 0 m/s, then the final velocity of the rock can be calculated using conservation of energy.
Thus the potential energy of the compressed spring gets converted to potential energy of the rock when the spring is released. i.e.,
Potential Energy of the compressed spring = PE of the rock at maximum height
The potential energy of the spring is given by the formula:
PEspring= 0.5 k (x2 - x1)2
where k is the force constant of the spring, x1 is the uncompressed length of the spring, and x2 is the length of the spring when compressed.
The initial compression of the spring x1 = 2.8 m and the compression x2 = 1.0 m
Therefore, PEspring = 0.5 × 5500 × (2.8 − 1)2 = 7193.75 J
The potential energy of the rock at maximum height is given by: PErock= mgh
where m is the mass of the rock, g is the acceleration due to gravity (9.8 m/s²), and h is the maximum height achieved by the rock.
Substituting the values of m, g and PErock, we get: 7193.75 J = (54 kg) (9.8 m/s²) (h)
h = 7193.75 / (54 × 9.8) ≈ 13 m
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Think about what happens to the volume of an air-filled balloon on top of water and beneath the water. Then rank the buoyant forces on a weighted balloon in water, from greatest to least, when it is:
a. barely floating with its top at the surface
b. pushed 1 m beneath the surface
c. pushed 2 m beneath the surface
The ranking of the buoyant forces on the weighted balloon in water, from greatest to least, is as follows:
c. Pushed 2 m beneath the surface (highest buoyant force)
b. Pushed 1 m beneath the surface
a. Barely floating with its top at the surface (lowest buoyant force)
Let's consider the scenarios mentioned and rank the buoyant forces on a weighted balloon in water from greatest to least:
a. Barely floating with its top at the surface:
In this scenario, the balloon is floating at the water's surface, with only a small portion of the balloon submerged. The buoyant force is equal to the weight of the water displaced by the submerged portion of the balloon, which is relatively small. The top part of the balloon is exposed to air, so it doesn't contribute to buoyancy. The buoyant force in this case is relatively low.
b. Pushed 1 m beneath the surface:
When the balloon is pushed 1 meter beneath the surface, more of the balloon becomes submerged. As the depth increases, the volume of water displaced by the balloon also increases. The buoyant force on the balloon becomes greater than in scenario (a), as a larger volume of water is displaced by the balloon. Therefore, the buoyant force in this case is higher than in scenario (a).
c. Pushed 2 m beneath the surface:
When the balloon is pushed 2 meters beneath the surface, even more of the balloon becomes submerged, displacing an even larger volume of water. The buoyant force further increases compared to scenarios (a) and (b) because a greater volume of water is displaced by the balloon. Therefore, the buoyant force in this case is the highest among the three scenarios.
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A truck travels a curve of radius 17 m and the mass of the truck is 5,900kg. The force of the truck is F = 2.685 x ?
The acceleration of the truck is 45.5 m/s² and the velocity of the truck is 27.8 m/s.
Acceleration of the truck
The acceleration of the truck is calculated as follows;
F = ma
a = F/m
a = (2.685 x 10⁵)/(5900)
a = 45.5 m/s²
Velocity of the trucka = v²/r
v² = ar
v² = 45.5 x 17
v² = 773.64
v = 27.8 m/s
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69) The molecular weight of nitrogen, N2, is 28 g/mol. What is the rms speed of nitrogen molecules in a cooler at 8.0°C? The Boltzmann constant is 1.38 × 10-23 J/K and NA = 6.022 × 1023 molecules/mol.
A) 450 m/s
B) 500 m/s
C) 550 m/s
D) 600 m/s
E) 650 m/s
The rms speed of nitrogen molecules in a cooler at 8.0°C is approximately 517 m/s (option B).
What is Molecular Weight?
Molecular weight is the sum of the atomic weights (in atomic mass units) of all the atoms in a molecule. It is also known as the molecular mass. The molecular weight is used to calculate various properties of the substance, such as its density, boiling point, and melting point.
First, we need to convert the temperature to kelvin:
T = 8.0°C + 273.15 = 281.15 K
The root-mean-square (rms) speed of gas molecules can be calculated using the formula:
v_rms = sqrt((3 * k_b * T) / m)
where k_b is the Boltzmann constant, T is the temperature in kelvin, and m is the mass of a single molecule.
For nitrogen gas (N2), the molecular weight is 28 g/mol or 0.028 kg/mol. Therefore, the mass of a single nitrogen molecule is:
m = (0.028 kg/mol) / NA = 4.65 × 10^-26 kg
where NA is Avogadro's number.
Now, we can substitute the values into the formula:
v_rms = sqrt((3 * 1.38 × 10^-23 J/K * 281.15 K) / 4.65 × 10^-26 kg)
v_rms = 517 m/s
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Which color of visible light has a shorter wavelength than blue light? O A. Red O B. Green O C. Violet OD. Orange A
Answer:
It's violet........
Explanation:
This was right for me.
The color of visible light that has a shorter wavelength than blue light is Red. The correct option is A.
What is electromagnetic spectrum?The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves and visible light waves, ultraviolet rays and microwaves.
They possess high energy even to penetrate deep within the material. electromagnetic spectrum ranges from longer wavelength and less frequency to shorter wavelength and high frequency.
The light with higher wavelength is Blue and the shorter wavelength is Red and the rest of all spectrum colors are in between.
Thus, the correct option is A.
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how do newtons first and third laws describe the motion of an object?
Answer:
Newton's laws of motion relate an object's motion to the forces acting on it.
Explanation:
In the first law, an object will not change its motion unless a force acts on it. ... In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Answer:
In the first law, an object will not change its motion unless a force acts on it. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
At what temperature would volume of gas be doubled of pressure at the same time increase from 700 to 800 mm of Hg? please answer me fast
Answer:
P1V1 = nRT1
P2V2 = nRT2
Divide one by the other:
P1V1/P2V2 = nRT1/nRT2
From which:
P1V1/P2V2 = T1/T2
(Or P1V1 = P2V2 under isothermal conditions)
Inverting and isolating T2 (final temp)
(P2V2/P1V1)T1 = T2 (Temp in K).
Now P1/P2 = 1
V1/V2 = 1/2
T1 = 273 K, the initial temp.
Therefore, inserting these values into above:
2 x 273 K = T2 = 546 K, or 273 C.
is spring constant the ratio of external force to displacement from mean position or the ratio of restoring force to displacement from mean position?
The spring constant the ratio of external force to displacement from mean position. Thus, it is the force applied to the spring to stretch it by 1 m.
What is spring constant?For an elastic material like a spring, the force applied to stretch it or compress it by a displacement of x meters is directly proportional to this change in length x.
Therefore f ∝ x
or f = - kx
Here, the proportionality constant k is called the spring constant or force constant. The spring constant can be defined as the force applied on a spring to stretch it by 1 m.
The unit of spring constant is thus, N/m. The elastic material will exert a restoring force by which it can regains its original size or shape, which is directly proportional to the length changed.
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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required
The current required by the electric heater which has the power of 15,000 W is 62.5 A
The power of the heater = 15,000 W
The voltage used by the heater = 240 V
The current required by the electric heater can be found using the formula,
P = VI
where P is the power of the electric heater
V is the voltage used by the electric heater
I is the current required by the electric heater
Let us rearrange the above equation in order to get the current required by the heater is
I = P/V
Let us substitute the known values in the above equation, we get
I = 15,000 / 240
= 62.5 A
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The distance from one crest to the next is the ________.
Answer:
Wavelength.
Explanation:
1 period, or wavelength, is measured from one crest to another or from one trough to another.
A 2 kg ball is thrown down off a roof 10 meters high. At the bottom when it hits the ground
it is traveling 15 m/s. What is it's kinetic energy as it hits the ground?
The kinetic energy as it hits the ground with mass of 2kg and velocity 15m/s is found to be 225J
Explain what is kinetic energy?The energy a body has as a consequence of motion is known as kinetic energy. A force has to be applied to an object in order to propel it. We must put in effort in order to apply a force. After the work has been finished, energy is transferred to the item, which then travels at a new, constant speed.
At the bottom when ball hit ground with velocity = 15m/s
KE = 1/2 m v^2 => 1/2 x 2 x 15^2 => 225J
What distinguishes kinetic energy from potential energy?Potential energy is the energy that is kept in reserve in a system or object as a result of its orientation or configuration. An object's kinetic energy is measured in relation to stationary and moving items in its immediate surroundings. Potential energy is irrespective of an object's surroundings.
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What is the meaning of the word solar in the article "Fire Up the Sun"?
relating to electricity
caused by the sun
caused by heat
relating to power
Answer:
B) Caused by the Sun
Explanation:
If you look at a picture of a solar system, you will see the sun in the middle. The sun is the powerhouse of the solar system. So that means that the sun is the biggest star and can provide enough light to reach earth and keep it lit.
The meaning of the word solar in the article "Fire Up the Sun" is caused by the sun so, option B is correct.
What is sun?The sun is the star that the earth and the other planets in the solar system orbit. With more than 99 percent of the system's total mass, it is the dominant body. A portion of the tremendous quantity of energy coming from the Sun powers the light and heat that keep Earth habitable for life.
The sun is in the center of a solar system if you look at a picture of one. The solar system's center of gravity is the sun. This indicates that the sun is the largest star and that it can illuminate the earth and keep it bright.
The Sun is a G2 V star, which means that it has a surface temperature of roughly 5,800 kelvins (K), making it the second-hottest star in the yellow G class.
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A carbon dioxide laser is an infrared laser. A CO2 laser with a cavity length of 53.00 cm oscillates in the m=100,000 mode. A) What is the wavelength of the laser beam? B) What is the frequency of the laser beam?
A) The wavelength of the laser beam: 10.6 μm
B) The frequency of the laser beam: 28.3 THz.
A) A carbon dioxide (CO2) laser operates in the infrared region, and its emission wavelength is determined by the rotational-vibrational transitions in the CO2 molecule. The wavelength of the laser beam can be calculated using the formula: λ = 2L / m
where λ is the wavelength, L is the cavity length, and m is the mode number.
Given a cavity length of 53.00 cm and operating in the m = 100,000 mode, we can substitute these values into the formula to calculate the wavelength:
λ = 2(53.00 cm) / 100,000
= 106 μm
= 10.6 μm (in scientific notation)
B) The frequency of the laser beam can be determined using the speed of light equation: c = λf
where c is the speed of light (approximately 3.0 × 10^8 m/s), λ is the wavelength, and f is the frequency.
Rearranging the equation, we can solve for the frequency:
f = c / λ
= (3.0 × 10^8 m/s) / (10.6 × 10^-6 m)
= 28.3 × 10^12 Hz
= 28.3 THz (in scientific notation)
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How long does it take to produce a star?
Answer: From the moment the first gas cloud begins to compress until the star is formed and glows like the Sun, the process of star creation takes around a million years. Planets and other objects circle the central star using the remaining material from the star's formation.
Explanation:
Answer: Before the gas could disengage from the magnetic field and collapse, every ion in the gas would need to locate an electron to neutralize it. This implies that the formation of a star takes more than 10 million years.
Explanation:
how do you convert a negative charge to a positive charge?
Answer:
Add the negative protons, to make a positive charge. It's just like math a double negative makes a positive.
~Mia Sedillo~a 10 kg migratory swan cruises at 20 m/s. a calculation that takes into account the necessary forces shows that this motion requires 200 w of mechanical power. if we assume an efficiency similar to humans, a reasonable assumption, then the metabolic power of the swan is significantly higher than this. the swan doesn't stop to eat during a long day of flying; it gets the energy it needs from fat stores. assume an efficiency similar to humans. after 12 hours of flight, what fraction of its body mass does it lose?
Using the concepts of power, we got that 0.0934 is the fraction of swan mass lose after 12 hours of flight for a swan having efficiency similar to humans.
Talking about the lost fraction, we need to find the total energy that the swan store in its body which it uses for flying.
So we are given the power and time, we can use the formula
Power=work/time
=>work=power × time
We are given power=200W and time as 12 hrs
Since 1hr=3600sec.
Therefore 12 hr is equal to =12×3600sec.
Now, applying the same formula, the total energy should be
= 200×(12×3600)
= 8.64×1000000Joules.
now the total mass lost should be
=[(3.456×1000000)/37×1000]
=(3456000/37000)
= 934 g
So, the fraction should be,
Lost weight of migratory swan/original weight of swan
= 0.934/10
= 0.0934
Hence, a 10 kg migratory swan cruises at 20 m/s. a calculation that takes into account the necessary forces shows that this motion requires 200 w of mechanical power. if we assume an efficiency similar to humans, a reasonable assumption, then the metabolic power of the swan is significantly higher than this. the swan doesn't stop to eat during a long day of flying; it gets the energy it needs from fat stores. assume an efficiency similar to humans. after 12 hours of flight, the fraction of its body mass does it lose is 0.0934
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Over what intervals is the work done on the particle positive?.
To determine the intervals where the work done on the particle is positive, we need to consider the direction of the force acting on the particle.
If the force and displacement are in the same direction, then the work done is positive. Therefore, we need to find the intervals where the force and displacement have the same direction. Without additional information about the force and displacement, it's impossible to provide a specific answer. However, we can say that if the force is always in the same direction as the displacement, then the work done on the particle will be positive for all intervals. Conversely, if the force is always in the opposite direction as the displacement, then the work done will be negative for all intervals.
In general, to determine the intervals where the work done on the particle is positive, we need to analyze the direction of the force and displacement over different time intervals or positions of the particle.
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A Saturn V Moon rocket has a mass at lift-
off of 3.0 x 106 kg. The thrust at lift-off is
3.3 × 107 N. Find:
a) the weight of the rocket on Earth
b) the resultant (unbalanced) force at lift-off
c) the acceleration at lift-off
d) the apparent weight of the rocket in orbit.
Explanation:
a) weight = m * g = 3 x 10^6 kg * 10 m/s^2 = 3.0 x 10^7 N
b) Thrust - weight = 3.3 x 10^7 N - 3.0 x 10^7 N = 3 x 10^6 N
c) F = ma 3. x 10^6 = 3 X 10^6 * a solve for 'a' = 1 m/s^2
d) weightless (but not massless)