A skier departs from the top of a slope at 5.0 m/s. At the bottom of the slope, her speed is 13 m/s. The slope is 7.3 m high.
At the bottom of the slope, all of the skier's potential energy has been converted to kinetic energy.
Therefore, we can set the initial potential energy of the skier equal to her final kinetic energy:
mgh = (1/2)mv²
h is the height of the slope that we want to find, v is the final speed of the skier (13 m/s), and we've used the fact that the initial speed of the skier is 5.0 m/s.
Simplifying the equation, we get:
h = (1/2)v²/g - (1/2)(v\(_{i}\))²/g
h = (1/2)(13 m/s)²/(9.8 m/s²) - (1/2)(5.0 m/s)²/(9.8 m/s²)
h ≈ 7.3 m
Therefore, the height of the slope is approximately 7.3 m. So the answer is (a) 7.3 m.
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find the time t and tension in the rope when 600 kg mass moves up 3m
To find the time t and tension in the rope when a 600 kg mass moves up 3m, we need to use the equations of motion and energy conservation. Assuming that the mass moves with constant velocity, we can use the work-energy principle.
Work done by tension = Change in gravitational potential energy
Tension x distance = mgh
where m = 600 kg, g = 9.8 m/s^2 (acceleration due to gravity), and h = 3 m.
Solving for tension, we get:
Tension = mgh / distance = 600 x 9.8 x 3 / 3 = 17640 N
This is the tension in the rope when the mass is moving up at a constant velocity. To find the time t, we can use the kinematic equation:
distance = initial velocity x time + 0.5 x acceleration x time^2
Since the mass is moving up with constant velocity, the initial velocity is zero, and the equation simplifies to:
distance = 0.5 x acceleration x time^2
Substituting the values, we get:
3 = 0.5 x 9.8 x t^2
Solving for t, we get:
t = sqrt(3 / 4.9) = 0.78 s
Therefore, the time t taken by the mass to move up 3m is 0.78 seconds, and the tension in the rope is 17640 N.
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max planck showed that when atoms/molecules emit energy, it comes in amounts or
Max Planck showed that when atoms and molecules emit energy, it comes in discrete amounts or quanta.
Max Planck (1858-1947) was a German physicist who is best known for his work in the field of quantum mechanics. He is considered one of the founders of quantum theory and made significant contributions to the understanding of atomic and subatomic processes.
In 1900, Planck proposed the idea that energy is emitted in discrete packets or quanta, rather than in a continuous stream. This idea became the basis for his famous equation, E=hv, where E is the energy of a quantum, h is Planck's constant, and v is the frequency of the radiation. Planck's work revolutionized the field of physics and laid the groundwork for many important discoveries, including the development of the theory of relativity by Albert Einstein.
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hey can you plz help me
Leo makes an electrical circuit using a battery, copper connecting wires, and a
lamps.
1 Sketch the assembly and say if the lamp lights up.
2 Specify the direction of movement of the free electrons.
3 Leo reverses the connections to the battery terminals. In which directions do the
free electrons.
Answer:
I can't do the sketch
the direction of elections would move though the wires opposite direction
the 3rd one I'm not sure
the distance between the atoms of h−cl is 1.27å. what is the distance in meters?
To convert the distance between the atoms of H-Cl from angstroms (Å) to meters, you can follow these steps:
Step 1: Understand the conversion factor
1 angstrom (Å) is equal to 1 x 10^-10 meters.
Step 2: Identify the given distance
The given distance between the atoms of H-Cl is 1.27 Å.
Step 3: Apply the conversion factor
To convert the distance from Å to meters, you can use the conversion factor mentioned in step 1:
Distance in meters = 1.27 Å × (1 x 10^-10 meters/Å)
Step 4: Calculate the result
By multiplying the given distance with the conversion factor, you will get:
Distance in meters = 1.27 × 10^-10 meters
So, the distance between the atoms of H-Cl in meters is 1.27 × 10^-10 meters.
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The largest moon in the solar system is Ganymede, a moon of Jupiter. Ganymede orbits at a distance of 1.07×109m from the center of Jupiter with an orbital period of about 6.18×105s. Find the mass of Jupiter.
The moon of Jupiter, Ganymede is the largest moon in the solar system. The mass of Jupiter when the orbital period and the distance from the centre of the orbit are given is calculated to be 1.57 × 10²⁷ kg.
The time required to complete one revolution in an orbit around the planet is known as the Orbital Time period of motion. The orbital distance's cube is directly proportional to the square of the time period.
Given that,
Orbital distance R = 1.07 × 10⁹ m
Time period T = 6.18 × 10⁵ s
We know the formula of time period as,
T² = 4 π² R³/ G M
where, M is the mass of Jupiter
G is the gravitational constant
(6.18 × 10⁵)² = 4 π² (1.07 × 10⁹)³/(6.67 × 10⁻¹¹) M
Making M as subject, we have,
M = 4 π² (1.07 × 10⁹)³/[ (6.67 × 10⁻¹¹) (6.18 × 10⁵)²] = 1.57 × 10²⁷ kg
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A ray of light strikes a plane mirror at an angle of incidence of 60°, is reflected from the mirror and then strikes a second plane mirror placed so that the angle beftween the mirrors is 45°. The angle of reflection at the second mirror, in degrees, is
A 15
B 25
C 45
D 65
E 75
plz help me guys ASAP!
Answer:
60 - 45 = A. 15
Explanation:
Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
What is Plane mirror?A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.
A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.
The image that follows illustrates how an object appears when viewed via a plane mirror.
Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
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describe periscope.
Answer:
periscope, an optical instrument used in land and sea warfare, submarine navigation, and elsewhere to enable an observer to see his surroundings while remaining under cover, behind armor, or submerged.
Explanation:
Design the safest possible SUV with a crumple zone length of 85 cm, no CAS, and a speed of 20 m/s (45 mph). (Note: Injuries such as broken legs are not allowed. )
The crumple zone of a car is obtained as the final speed divided by initial speed.
What is a crumple zone?The crumple zone is put in vehicles to manage the energy expended during deceleration of a vehicle in an accident situation thereby preventing the deformation of passengers and preventing injury.
The crumple zone of a car is obtained as the final speed divided by initial speed.
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pulsed lasers are used for science and medicine produce very brief bursts of electromagnetic energy. a) if the laser light wavelength is 1062 nm and the pulse lasts for 38 ps, how many wavelengths are found within the laser pulse? b) how brief would the pulse need to be to fit only one wavelength?
Answer:
To answer your question:
a) The formula to calculate the number of wavelengths within a laser pulse is:
number of wavelengths = pulse duration / wavelength
Plugging in the values given in the question, we get:
number of wavelengths = 38 ps / 1062 nm
Converting picoseconds to seconds and nanometers to meters, we get:
number of wavelengths = 38 x 10^-12 s / 1062 x 10^-9 m
number of wavelengths = 0.0358
Therefore, there are approximately 0.0358 wavelengths within the laser pulse.
b) To fit only one wavelength, the pulse duration would need to be equal to the wavelength. The formula to calculate the pulse duration is:
pulse duration = wavelength
Plugging in the value given in the question, we get:
pulse duration = 1062 nm
Converting nanometers to picoseconds using the speed of light ©, we get:
pulse duration = wavelength / c
pulse duration = 1062 x 10^-9 m / 3 x 10^8 m/s
pulse duration = 3.54 x 10^-12 s
Therefore, the pulse would need to be approximately 3.54 ps long to fit only one wavelength.
I hope this helps
What would happen to a 100N gravitational force if both masses were doubled and the radius were
doubled
The force winds up unchanged, at 100 N.
a constant current flows in the conductor with a magnitude of 1.6 mA. Calculate the charge and number of electrons transferred through the straight cross-section of the conductor in 1 hour.
\(\\ \sf\longmapsto I=\dfrac{Q}{t}\)
\(\\ \sf\longmapsto Q=It\)
\(\\ \sf\longmapsto Q=0.0016(3600)\)
\(\\ \sf\longmapsto Q=5.76C\)
A Phenomenon in which the incident light hitting the surface is sent back into the same medium is
called_____________________.
A. Diffraction B. Interference C. Reflection D. Refraction
Reflection is a phenomenon in which the incident light hitting the surface is sent back into the same medium.
The law of reflection is based on this phenomenon. A light ray is sent back into the medium when it encounters a surface. A virtual image is created in front of a surface that reflects a light ray. To summarize:Reflection is a phenomenon in which light is sent back into the same medium by the surface. When it encounters a surface, the light ray is sent back into the medium. The law of reflection is based on this phenomenon. A virtual image is created in front of a surface that reflects a light ray.
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Công thức cộng vận tốc
Answer:
you are very kind except for your habit
1. (T4 ) A basketball and a bowling ball are dropped at the same time from the same height. The bowling ball has three times the mass of the basketball. How will their falling times compare? Ignore air resistance. *
1 point
A. The basketball will reach the ground three times faster
B. The bowling ball will reach the ground three times faster
C. The bowling ball will reach the ground nine times faster
D. The two balls will hit the ground at the same time
Answer:
d
Explanation:
mass and weight do not effect how fast a object falls
A boy is twirling a model airplane on a string 4 feet long. if he twirls the plane at 0.25 revolutions per minute, how far does the plane travel in 4 minutes? round to the nearest tenth.
Answer:
25.13 ft
Explanation:
r = 4 feet
ω=0.25 revolution per minute
=1 revolution in 4 minutes
total number of revolution N = 1 (in 4 minutes )
v=rω
distance traveled = 2×N×π×r
=2×1×π×4
=8π
= 25.13ft in 4mins
Which of the following types of graphs is best for plotting the percentages of a whole value in a data set? (2 points)
Group of answer choices
Bar graph
Circle graph
Histogram
Line graph
Answer:
The best type of graph would be b. circle graph.
Explanation:
In which one of the following cases will total internal reflection occur?
a.Light is traveling through a material with a high degree of chromatic dispersion.
b.Light is traveling in a material that has a larger index of refraction than material surrounding it.
c.Light is traveling in a material that has a smaller index of refraction than material surrounding it.
d.Light is traveling from a material that has a smaller index of refraction into a material that has a larger index of refraction
d. Light is traveling from a material that has a smaller index of refraction into a material that has a larger index of refraction.
Total internal reflection occurs when light travels from a medium with a higher index of refraction to a medium with a lower index of refraction, such as from glass to air. This phenomenon happens due to the principle of Snell's law, which governs the behavior of light at the interface between two different mediums.
When light passes from a medium with a higher index of refraction to a medium with a lower index of refraction, the angle of refraction becomes larger. There is a critical angle at which the angle of refraction is 90 degrees, and any angle of incidence beyond this critical angle will result in total internal reflection.
In option d, where light is traveling from a material with a smaller index of refraction into a material with a larger index of refraction, total internal reflection can occur. This situation is commonly observed when light travels from a denser medium like water into a less dense medium like air.
Options a, b, and c do not describe scenarios where total internal reflection would occur. Chromatic dispersion (a) refers to the separation of light into different colors as it passes through a medium, which is not directly related to total internal reflection. Options b and c describe cases where light is not encountering a change in the index of refraction, which is a requirement for total internal reflection to occur.
Total internal reflection occurs when light travels from a medium with a higher index of refraction to a medium with a lower index of refraction. This phenomenon is observed when light travels from a material with a smaller index of refraction into a material with a larger index of refraction. Understanding the principles of refraction and the conditions for total internal reflection is important in various applications, such as fiber optics and prism-based optical devices.
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How would you obtain a mean value for the specific heat
capacity of a material?
Two 0.967 kg masses are 4.439 m apart on a frictionless table. Each has 16.074 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?
Firstly, we can write the equation for the electric force. It is:
\(F_e=k\frac{q_1q_2}{d^2}\)By applying our values we get
\(F_e=(9*10^9)\frac{(16.074*10^{-6})*(16.074*10^{-6})}{(4.439)^2}=0.118N\)Now, if we remind ourselves of Newton's law, we know that
\(\vec{F}=m.\vec{a}\)We know the mass, and we know the Force, so we can find out the acceleration, this gives us:
\(0.118=0.967*a\)Thus
\(a=\frac{0.118}{0.967}=0.122\frac{m}{s^2}\)Our final acceleration is 0.122 m/s^2
x‑ray photons that have a wavelength of 0.230 nm are scattered off carbon atoms (which possess essentially stationary electrons in their valence shells).
What is the wavelength 11 of the Compton-scattered photons if the photons forward scatter at an angle of 0.00°? 11 = m What is the kinetic energy K of the scattered electrons if the photons forward scatter at an angle of 0.00°?
The wavelength of the Compton-scattered photons, denoted as λ₁₁, when X-ray photons with a wavelength of 0.230 nm are forward scattered at an angle of 0.00°, is approximately 0.230 nm.
The kinetic energy, denoted as K, of the scattered electrons in this scenario is zero.
Determine how the kinetic energy (K) of the scattered electrons?Compton scattering refers to the scattering of X-ray photons by electrons, resulting in a change in the wavelength and direction of the photons. According to Compton's equation, the change in wavelength (Δλ) is given by Δλ = λ₁₁ - λ₀, where λ₀ is the initial wavelength.
In this case, since the forward scattering angle is 0.00°, there is no change in wavelength. Therefore, λ₁₁ = λ₀, which means the wavelength of the Compton-scattered photons is the same as the initial wavelength of 0.230 nm.
When the X-ray photons forward scatter at an angle of 0.00°, it implies that the scattered electrons possess zero kinetic energy. This is because forward scattering occurs when the photon transfers all its energy and momentum to the electron, resulting in the electron being at rest after the interaction.
Therefore, the kinetic energy (K) of the scattered electrons is zero in this scenario.
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Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them. How far apart are these charges?
Answer:
r = 0.2499 m
Explanation:
Use Coulomb's Law: \(F_{e} = kq_{1}q_{2} / r^{2}\) where Fe is the electric force, q1 and q2 are the 2 charges respectively, k is a constant (8.99*10^9 N • m^2 / C^2) and r is the distance.
\(3.6 N = (8.99*10^{9})(5*10^{-6})(5*10^{-6}) / r^{2}\)
r = 0.2499 m
The distance that should be apart from these charges should be considered when the r = 0.2499 m.
Calculation of the distance apart:Since
Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them
So
here we use Columb law
Electric force = k * two charges * two charges)r^2
3.6 N = (8.99*10^9) * ( 5 * 10^-6) * (5*10^-6)r^2
r = 0.2499 m.
Hence, The distance that should be apart from these charges should be considered when the r = 0.2499 m.
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Calculate the theoretical yield: This means we will calculate the mass of product that should had been produced if the experiment was perfect. Therefore, you will calculate the mass of product (MgO) using the given mass of the reactant solid (3.0 gMg) c) The experimental mass (or mass obtained) is called the "actual yield." Use this mass to determine the percent yield (how close the experimental value was to the theoretical value) % yield =
theoretical yield
actual yield
×100% d) The percent error is the opposite to percent yield, while percent yield tells you how close the values were to each other, percent error tells you how far the values were to each other, we want small percent errors for accurate measurements. Calculate the percent error % error =
∣
∣
theoretical yield
theoretical yield - actual yield
∣
∣
×100%
The theoretical yield of MgO is 4.978 grams.
Given information: Mass of reactant solid = 3.0 gMg
The balanced chemical equation for the reaction is;
Mg(s) + 1/2 O2(g) → MgO(s)
Molar mass of Mg = 24.31 g/mol
From the chemical equation, one mole of Mg reacts with half a mole of O2 to give one mole of MgO.
1 mole of Mg = 24.31g
Therefore, 3.0 g of Mg is equal to 3.0/24.31 = 0.1235 moles
The stoichiometry of the chemical equation indicates that 1 mole of Mg is equivalent to 1 mole of MgO
Hence, 0.1235 moles of Mg will produce 0.1235 moles of MgO.
Molar mass of MgO = 40.31 g/mol
Theoretical yield = Number of moles × Molar mass
Theoretical yield = 0.1235 mol × 40.31 g/mol
Theoretical yield = 4.97 g
% yield = actual yield / theoretical yield × 100%
% yield = 3.95 g / 4.97 g × 100%
% yield = 79.5%
% error = ∣ theoretical yield - actual yield ∣ / theoretical yield × 100%
% error = ∣ 4.97 g - 3.95 g ∣ / 4.97 g × 100%
% error = 20.44 %
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An object has more elastic potential energy if...
What are the three phases of an exercise program?
Ostrength, glycolytic, and power
Ostrength, oxidative, and time
O stabilization, power, and time
O stabilization, strength, and power
Answer:
Option 4 'stabilization, strength, and power' is correct.
Explanation:
During the stabilization phase, the focus is on developing proper movement patterns and improving muscular endurance to stabilize joints and improve overall posture.
During the strength phase, the focus shifts towards building muscular strength and increasing muscle size, typically through the use of heavier weights and lower reps.
Finally, during the power phase, the focus is on developing explosive power and speed through the use of plyometrics and other high-intensity exercises.
A 30 ohm resistor and a 20 ohm resistor are
connected in parallel with a 100 volt battery.
The electrical current that would pass
through the 30 ohm resistor is?
Answer:
3.33 A
Explanation:
Equalent Resistance=30 ohms
I = V / R
I = 100 / 30
I = 3.33 A
The following three questions are predictions and points will not be deducted if they are incorrect. We will test our hypothesis based on results from the lab experiment for credit in future questions.
HYPOTHESIS 01 - Total current will be greater when a circuit is connected in:
Choose one points
a. Series
b. Parallel
Hypothesis 01, which states that the total current will be greater when a circuit is connected in parallel, is true
When a circuit is connected in parallel, the total current will be greater because in a parallel circuit, each component has the same voltage across it, allowing each component to pass current based on its resistance. This results in an increased total current in the circuit.
Parallel circuits have benefits such as powering multiple appliances while keeping them isolated from each other, as the voltage remains the same for all devices. This allows them to operate independently. Additionally, if one component fails or becomes disconnected, the other components in the parallel circuit will continue to work normally.
Hypothesis 01, which states that the total current will be greater when a circuit is connected in parallel, is true based on the explanation above. Therefore, Hypothesis 01 is correct.
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How do wings help a plane to fly?
ANSWER
EXPLANATION
We want to find out how wings help a plane to fly.
The wings of an airplane are there to help lift the plane. They are shaped to make air move faster over the wings.
They are used for lifting, landing, turning and controlling the airplane. The curve on the wings make the air move faster than the air at the bottom of the wings which appropriates Bernoulli's principle to push the plane into the air.
Alcohol weakens a driver's inhibitions, which are the inner forces of one's personality that hold back or restrain one's impulsive behavior.
Alcohol is a psychoactive drug that has a wide range of physiological effects. Alcohol affects a number of organs by depressing the central nervous system. Because of this, we can claim that alcohol neither encourages nor restrains impulsive behavior.
What effects does alcohol have on our nervous system?Alcohol is categorized as a CNS depressive, which means that it slows down essential processes. This causes impairments like slurred speech, shaky movements, and a slow reaction time.
Why is alcohol such a bad thing?Alcohol addiction has detrimental social and economic impacts on the individual as well as society at large, in addition to its detrimental effects on health. Alcohol has been used for centuries in many different civilizations. It is a psychoactive stimulant with addictive properties.
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to settle into the gloaming, where eyes and mind are roaming. where skin sparks and twilight arcs beneath where stars are homing.
Settling into the gloaming brings a special kind of peace to the soul. It's the time just before nightfall, when the sun slowly descends into the horizon. When all the light around fades, you are left in a space of sheer tranquility and beauty.
The sky becomes a vast expanse of orange and pink shades. Eyes and mind have no need to wander any further, for there is plenty to discover in this special moment. As the twilight grows more intense, it brings a sense of adventure that allows you to disconnect from reality and comprehend the beauty of the stars above.
Skin sparks from the opportunity to feel connected, alive, and free from the troubles of the day. With the stars homing, you feel taken away in a world of innocence and promise. Even though the gloaming only lasts for a fleeting moment, the memories of those moments linger and continue to feed your soul.
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Correct question is :
to settle into the gloaming, where eyes and mind are roaming. where skin sparks and twilight arcs beneath where stars are homing. explain.
a bud travels 20 km in 30 minutes what is the average speed of the bus