light bends towards the normal when passing from air to water.
Explanation:
when Light passes from air to water It gets refracted and bend towards normal and if it passes from water to air it bends away from normal. This is because of the difference in density of the medium. Light when passing through higher density to lower bends away from normal and on passing through lower density to higher bends towards normal.
in general, some of the rays of light will reflect from the surface of water but other will pass through the water. The normal is the perpendicular line drawn on the surface at the exact point of incident.
Balance the following equation
K+ h20= KOH+ H2
Answer:
2K + 2h2O =2KOH + H2
(Tell me if its incorrect)
The equation relating the pressure, volume, and temperature of an ideal gas is pv= nrt, where r= 8.314 47 j/k mol. the pressure of 0.600 mol of an ideal gas occupying 0.007 10 m3 at 315.0 k us to be calculated. stated to the appropriate number of significant digits, the pressure is
The ideal gas law allows us to relate the pressure, volume, and temperature of an ideal gas. We can use the equation pv=nrt, where r is equal to 8.314 47 j/k mol in order to determine the pressure of an ideal gas given the number of moles, volume, and temperature.
In this case, we have 0.600 mol of a gas occupying 0.007 10 m3 at a temperature of 315.0 k. By plugging these values into the equation, we can solve for the pressure, which is 4.1340 x 105 Pa, stated to the appropriate number of significant digits.
The ideal gas law is an incredibly useful equation that can be used to calculate the pressure, volume, and temperature of an ideal gas given the values of two of the three. The ideal gas law is based on the kinetic-molecular theory which states that all particles of a gas are in constant motion and that the pressure of the gas is a result of the force of the particles on the walls of the container.
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express the current i1 going through resistor r1 in terms of the currents i2 and i3 going through resistors r2 and r3. use the direction of the currents as specified in the figure.
To express the current i1 in terms of the currents i2 and i3, we can use Kirchhoff's current law (KCL), which states that the sum of currents entering a node is equal to the sum of currents leaving the node. In this case, the node where i1, i2, and i3 meet is the point of interest.
Based on the direction of the currents specified in the figure, we can write the equation:
i2 + i3 = i1
This equation represents the application of KCL at the node where i1, i2, and i3 are connected. According to KCL, the sum of currents entering the node (i2 and i3) is equal to the sum of currents leaving the node (i1).
Therefore, the expression for the current i1 in terms of i2 and i3 is:
i1 = i2 + i3
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When a 54.9-g tennis ball is served, it accelerates from rest to a speed of 45.1 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 35.1 cm. What is the magnitude of the net force acting on the ball
Answer:
F = 159.07 N
Explanation:
Given that,
Mass of a tennis ball, m = 54.9 g = 0.0549 kg
It accelerates from rest to a speed of 45.1 m/s.
The impact with the racket gives the ball a constant acceleration over a distance of 35.1 cm = 0.351 m
We need to find the magnitude of net force acting on the ball.
Let a be the acceleration of the ball. Using third equation of motion to find it.
\(v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(45.1)^2-(0)^2}{2\times 0.351}\\\\=2897.45\ m/s^2\)
Net force,
F = ma
F = 0.0549 kg × 2897.45 m/s²
= 159.07 N
Hence, the net force acting on the ball is 159.07 N.
a weight w is now placed on the same block and 4.87 n is needed to push them both at a constant velocity. what is the weight w of the box if the coefficient of friction is .60?
If a weight w is now placed on the same block and 4.87 n is needed to push them both at a constant velocity, then the weight of the additional weight is approximately 0.880 kg
When only the block is pushed, the force required to move it at a constant velocity is:
\(F_1 = \mu_1*N = 0.60 * (0.400 * 9.8 ) = 2.352 N\)
Where μ₁ is the coefficient of friction between the block and the surface, N is the normal force acting on the block, and we have assumed that the coefficient of friction is the same regardless of whether the block is moving or not.
When the block and weight are pushed together, the force required to move them at a constant velocity is:
\(F_2 = \mu _2*N + (0.400 + w)*g\)
Where μ₂ is the coefficient of friction between the block and the surface with the weight on top, and w is the weight of the additional weight. Since the system is moving at a constant velocity, the force required to push the system is equal to the force of friction plus the weight of the system, so we have:
\(F_2 = 4.87 N\)
Substituting the known values, we get:
\(0.60 * (0.400* 9.8) + (0.400+w)*9.8 = 4.87 N\)
Solving for w, we get:
\(w = \frac{(4.87 - (0.60 * (0.400 * 9.8)))}{(9.8)} - 0.400\)
\(w = 0.880 kg\)
Therefore, the weight of the additional weight is approximately 0.880 kg.
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a mass weighing 54 pounds stretches a spring 3.84 inches. determine the amplitude and period of motion if the mass is initially released from a point 8 inches above the equilibrium position with an upward velocity of 5 ft/s
The restoring force F of a spring is proportional to its displacement x from its equilibrium position. This law is called Hooke's law, and it can be written mathematically as follows:
F = − kx
where k is the spring constant
The period of motion can be determined by the following formula:
T=2π\(\sqrt{\frac{m}{k} }\)
where, m = the mask = spring constant
Let the amplitude of motion be A. The total energy of a mass attached to a spring is given by:
E=\(\frac{1}{2}\)k\(A^2\)
The maximum kinetic energy of the mass is given by
K = \(\frac{1}{2}\)m\(v^2\)
The maximum potential energy is given by
U = \(\frac{1}{2}\)k\((A + x_0)^2\)
where \(x_0\) is the displacement of the mass from the equilibrium position when it is released from a point 8 inches above the equilibrium position with an upward velocity of 5 ft/s. The maximum potential energy is equal to the maximum kinetic energy.
Equating the two, we have:
\(\frac{1}{2}\)m\(v^2\) = \(\frac{1}{2}\)k\((A + x_0)^2\) ⇒ A + \(x_0\) = \(\sqrt{\frac{mv^2}{k} }\)
Using this value of A + \(x_0\), we can determine the amplitude of motion as follows:
A = \(\sqrt{\frac{mv^2}{k} }\) − \(x_0\)
The mass in pounds can be converted to slugs as follows: \(m = \frac{54}{32.2} = 1.68\) slugs.
The displacement x of the spring from its equilibrium position can be determined as follows: \(x = \frac{3.84}{12} = 0.32\) ft.
The spring constant k can be determined using the formula:
\(k=\frac{k}{x}\)
where F is the force exerted on the spring when it is stretched by the mass.
The force F can be determined using the formula: F = m * g where g is the acceleration due to gravity.
Substituting the values, we get: F = 1.68 * 32.2 = 54.1 lbf
Substituting these values into the formula for k, we get \(k =\frac{54.1}{0.32} = 169.0\) lbf/ft.
The period of motion can be determined using the formula: T = 2π\(\sqrt{\frac{m}{k} }\).
Substituting the values, we get: T = 2π\(\sqrt \frac{1.68}{169.0}\) = 0.504 s.
Using the value of \(x_0\), we can determine the amplitude of motion as follows: A = \(\sqrt{\frac{mv^2}{k} }\) − \(x_0\).
Substituting the values, we get: A = \(\sqrt{ \frac{1.68*\frac{25}{9} }{169.0}} - 0.67A\)= 0.062 ft or 0.74 .
When a mass is hung on a spring, it extends from its original length to a new length. This change in length is known as the displacement. The point where the mass hangs without moving up or down is known as the equilibrium position. The restoring force, which is proportional to the displacement from the equilibrium position, acts on the mass when it is displaced from its equilibrium position. This law is known as Hooke's law. The constant of proportionality is known as the spring constant. The period of motion of the mass attached to the spring can be determined using the formula T = 2π\(\sqrt{\frac{m}{k} }\), where m is the mass and k is the spring constant. The amplitude of motion is the maximum displacement of the mass from its equilibrium position.
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How does the sun’s rotation affect magnetic activity and radiation?.
The sun's rotation plays a significant role in its magnetic activity and radiation
.The sun's magnetic field is created by the motion of electrically charged plasma in its interior, which is driven by the rotation of the sun. As the sun rotates, its magnetic field lines become twisted and tangled, which can lead to the formation of sunspots, solar flares, and coronal mass ejections. These events can release large amounts of energy and material into space, including high-energy particles and radiation.
The sun's rotation also affects the distribution of magnetic fields and radiation across its surface. As the sun rotates, its magnetic fields can become concentrated in certain regions, which can lead to the formation of active regions with high levels of magnetic activity and radiation. These regions can produce intense bursts of energy and radiation, including X-rays and ultraviolet light.
Overall, the sun's rotation is a crucial factor in determining its magnetic activity and radiation output. Understanding these processes is essential for predicting and mitigating the effects of space weather on Earth and other planets in the solar system.
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what is the typical speed of a helium atom in a child's balloon at a room temperature of 20∘c?
The typical speed of a helium atom in a child's balloon at room temperature is 1352 m/s.
Given:
Temperature, t = 20⁰ C
From the Maxwell-Boltzmann distribution and the root-mean-square (rms) speed formula.
v= √(3kT/m)
Here, (v) is the root-mean-square speed, (k) is the Boltzmann constant, (T) is the temperature in Kelvin, and (m) is the molar mass of the gas.
Convert temperature into kelvin:
T = 20 °C + 273.15 = 293.15 K
To convert the molar mass to kilograms:
m = (4.00 g/mol) / (6.022 × 10²³ particles/mol) ≈ 6.646 × 10⁻²⁶ kg
The rms speed using the formula is:
v= √(3kT/m)
v = √[(3 ×1.38 × 10⁻²³) J/K × 293.15 K) / (6.646 × 10⁻²⁶ kg)]
v = 1352 m/s
Hence, the speed is, 1352 m/s.
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Use each of the following terms in a separate
sentence: insulation, heat engine, and thermal
pollution.
The old farm house had been wrapped in insulation and sided.
refrigerator may be considered to be a heat engine operated in reverse.
The warmed water may become a thermal pollution problem in terms of the receiving body of water.
A grandfather clock keeps time using a pendulum. Which will be true of the clock if the pendulum is shortened? Question 10 options:
It will run slow.
It will run fast.
It will keep the same time.
It will depend on the bob’s mass.
Answer: The period of the pendulum is shorter if the pendulum itself is shortened.
Explanation: i did "It will depend on the bob’s mass". and got it wrong so it's not that one haha
A motorcycle starts from rest and gains a velocity of 40m/s in 8 seconds. Find (i) acceleration and (ii) distance travelled by the motorcycle.
• Initial velocity (u) = 0 m/s
• Final velocity (v) = 40 m/s
• time (t) = 8s
Acceleration :\(\implies \sf a = \dfrac{\Delta v}{ t} \\ \)
\(\implies \sf a = \dfrac{v - u}{ t} \)
\(\implies \sf a = \dfrac{40 - 0}{ 8} \)
\(\implies \sf a = \dfrac{40}{ 8} \)
\(\implies \bf a = 5 \: {ms}^{ - 2} \)
• Distance travelled by the motorcycle:\( \longrightarrow \sf {v}^{2} - {u}^{2} = 2as \\ \)
\(\longrightarrow \sf {(40)}^{2} - {(0)}^{2} = 2 \times5 \times s \\ \)
\( \longrightarrow \sf 1600 = 10s\)
\(\longrightarrow \sf s = \dfrac{1600}{10} \)
\(\longrightarrow \bf s = 160 \: m\)
A teacher will never give a student any additional information about a test in a one-on-one meeting because it would not be fair to the other students. Please select the best answer from the choices provided T F
Answer:
False
Explanation:
The answer is False that, additional information about a test in a one-on-one meeting would not be fair to the other students.
What is the meeting like?A meeting is a Group of two or more individuals who have been asked to get together too to speak verbally and work toward a similar objective, such as exchanging information or coming to a result. A meeting, according to one Merriam-Webster dictionary, is an act or process of getting together, such as a gathering for a shared cause.
Any event scheduled at a hotel, convention hall, or other location specifically designed for such gatherings may be referred to as a "meeting" by planners and other meet-and-greet specialists.
Meetings can include lectures (one presentation), seminars (typically several lectures, a comparatively tiny audience, one day), conferences (mid-size, each or more days), congresses (large, several days), exhibitions or trade shows (with manned stands being visited by passersby), workshops, trainings, team-building activities, and kick-off events.
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what is called gratational force
Answer:
Gravitational force can be seen as the pull that the earth has on an piece of matter. Everything on earth has a force acting on it which is gravity. It tries to pull two object closer to each other but never apart. The numerical value for gravitational force is 9.8 m/s^2 for free falling objects
Which words are readable, red words on white paper in red light or blue words on a white paper in red light, give a reason
Answer:
Blue words on a white paper in red light.
Explanation:
The words that will be readable would be the words written in blue color on white paper in red light. It is because the words written in blue will look dark in red light and will be readable. Whereas, words written in red on white paper in red light will not be readable as red letters would also look red.
When red light is shone on a white paper (which reflects all colors) on which letters are written in blue, the blue color would absord the other colors and would reflect 'dark' color (blackish). Whereas words written in red on white paper would absorb the red light completely, thus reflecting red color only, making the words unreadable.
So, the correct answer would be blue words written on white paper in red light would be readable.
(c) Identify the forces acting on your hand. (Select all that apply.) book on hand hand on book floor on hand earth on hand'
Both the force of "Hand on the book" and the force of "Earth on the book" are directed upward. The ground and the book are being drawn in toward the hand. As a result, the forces pulling on the hands are "Book on hand" and "Earth on hand."
Gravity, usually referred to as gravitation, is the unchanging force of attraction that binds everything together in physics. Being the weakest known force in nature, it has minimal effect on defining the inherent properties of everyday objects.
The force "Hand on the book" is directed upward, and the force "Earth on the book" is directed downward. The hand is being pulled toward the book and the earth.
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a mass spectrometer measures neon to have two masses: 20 and 22 atomic mass units. these are:
The two masses observed by the mass spectrometer for neon, 20 and 22 atomic mass units, can be explained by the fact that neon has two isotopes.
Isotopes are atoms of the same element that have the same number of protons but different numbers of neutrons in their nuclei. In the case of neon, the two isotopes are neon-20 and neon-22. Neon-20 has 10 protons and 10 neutrons in its nucleus, while neon-22 has 10 protons and 12 neutrons.
The mass spectrometer measures the masses of these two isotopes, which are different due to the different number of neutrons. Therefore, the two masses observed by the mass spectrometer for neon can be attributed to the presence of these two isotopes in the sample being analyzed.
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You are designing a lever to lift an object that weighs 500N. The lever exerts the output force 1 m from the fulcrum. How far from the fulcrum must an effort force of 250 N be applied to lift the object? Show your work.
A lever to lift an object that weighs 500N. The lever exerts the output force 1 m from the fulcrum.
To solve this problem, we can use the formula for the mechanical advantage of a lever
Mechanical Advantage = Output Force / Input Force
We know that the output force is 500 N and the input force is 250 N. Therefore, the mechanical advantage is
Mechanical Advantage = 500 N / 250 N
Mechanical Advantage = 2
Next, we can use the formula for the distance from the fulcrum to the input force
Distance from fulcrum to input force = Output Force distance / Mechanical Advantage
We know that the output force distance is 1 m. Therefore, the distance from the fulcrum to the input force is
Distance from fulcrum to input force = 1 m / 2
Distance from fulcrum to input force = 0.5 m
Hence, an effort force of 250 N must be applied 0.5 m from the fulcrum to lift the object that weighs 500N.
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The driver of a car traveling at a speed of 29 m/s slams on the brakes and comes to a stop in 5 s. If we assume that the speed changed at a constant rate (constant net force), what was the average speed during this 5 s interval
The average speed during the 5-second interval can be determined by calculating the change in speed and dividing it by the time taken.
Initially, the car was traveling at 29 m/s, and it came to a stop, so the change in speed is 29 m/s. Therefore, the average speed can be calculated as follows:
Average speed = Change in speed / Time taken
= 29 m/s / 5 s
= 5.8 m/s
The average speed of the car during the 5-second interval when the driver slammed on the brakes and brought the car to a stop was 5.8 m/s. This is obtained by dividing the change in speed, which is 29 m/s, by the time taken, which is 5 seconds.
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A 56 kg student stands atop aspring in an elevator that is acceleratingupward at 3.5 m/s2m/s2. The springconstant is 2900 N/mN/m. Part A Byhow much is the spring compressed
Given data,
Mass,
\(m=56\text{ kg}\)Acceleration,
\(a=3.5m/s^2\)Spring constant,
\(k=2900\text{ N/m}\)Acceleration due to gravity,
\(g=9.8m/s^2\)Accelerating upward,
\(\begin{gathered} a^{\prime}=(a+g) \\ a^{\prime}=3.5m/s^2+9.8m/s^2 \\ a^{\prime}=13.3m/s^2 \end{gathered}\)Comsider the formula for force.
\(\begin{gathered} F=kx \\ ma^{\prime}=kx \\ 56kg\times13.3m/s^2=2900\text{ N/m}\times x \\ x=25.68\text{ cm} \end{gathered}\)Thus, the spring compression is 25.68 cm.
An x-ray tube is an evacuated glass tube that produces electrons at one end and then accelerates them to very high speeds by the time they reach the other end. The acceleration is accomplished using an electric field. The high-speed electrons hit a metal target at the other end, and the violence of the collision converts their kinetic energy into high-energy light rays, commonly known as x-rays.
A. through what potential difference should electrons be accelerated so that their speed is 2.1 % of the speed of light when they hit the target?
B. What potential difference would be needed to give protons the same kinetic energy as the electrons?
C. What speed would this potential difference give to protons?
D. Express the speed calculated in Part C as a percentage of the speed of light.
A) Electrons should be accelerated through a potential difference of 51.6 kV
B) 117.3 MV would be needed to give protons the same kinetic energy as the electrons. C)117.3 MV would give protons a speed of 0.999 times speed of light. D)v/c x 100% ≈ 99.9%
What is kinetic energy?Energy an object has because of its motion is known as kinetic energy.
A.) Kinetic energy of an electron accelerated through a potential difference of V volts is : KE = eV
KE = (γ - 1)mc²
γ is Lorentz factor, m is rest mass of the electron, and c is speed of light.
eV = (γ - 1)mc²
V = (γ - 1)mc² / e
V = (1.021 - 1) x 9.11 x 10⁻³¹ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)
V ≈ 51.6 kV
Therefore, the electrons should be accelerated through a potential difference of approximately 51.6 kV to reach a speed of 2.1% of the speed of light when they hit the target.
B.) KE = eV
e is charge on the proton
(γp - 1)mpc² = (γe - 1)mec²
γp is Lorentz factor of the proton, mp is rest mass of the proton, and me is rest mass of the electron.
V = [(γp - 1)mpc² - (γe - 1)mec²] / e
V = [(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)
[(1 - v²/c²\()^{(-1/2)\) - 1] x 1.67 x 10⁻²⁷ kg x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C) = 51.6 x 10³ V
(1 - v²/c²\()^{(-1/2)\) - 1 = 3.07 x 10⁻¹¹
(1 - v²/c²\()^{(-1/2)\) = 1 + 3.07 x 10⁻¹¹
1 - v²/c² = (1 + 3.07 x 10⁻¹¹)⁻²
v = c x √(1 - (1 + 3.07 x 10⁻¹¹)⁻²
V = [(1 - (1 + 3.07 x 10⁻¹¹\()^{(-1)\)) x 1.67 x 10⁻²⁷kg x (3.00 x 10⁸ m/s)²] / (1.60 x 10⁻¹⁹ C)
V ≈ 117.3 MV
Therefore, a potential difference of approximately 117.3 MV would be needed to give protons the same kinetic energy as the electrons.
C. γp = V / (mc²/e)
= 117.3 x 10⁶ V / [(1.67 x 10⁻²⁷ kg) x (3.00 x 10⁸ m/s)² / (1.60 x 10⁻¹⁹ C)]
γp ≈ 1.85 x 10⁸
(1 - v²/c²\()^{(-1/2)\) = 1.85 x 10⁸
v = c x √(1 - 1/(1.85 x 10⁸)²)
v ≈ 0.999c
Therefore, the potential difference of 117.3 MV would give protons a speed of approximately 0.999 times the speed of light.
D. Expressing the speed as a percentage of the speed of light, we get: v/c x 100% ≈ 99.9%
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3. How does the wavelength of green different from violet-indigo?
Answer:
As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.
Explanation:
which block represents strike slip forces? which block represents extensional (or tensional) forces?
The extensional (or tensional) forces are shown by the A; B block.
What kind of errors can be found in extensional settings?Dip-slip faults include normal faults and extensional faults. They happen when both the footwall and the hanging wall collapse. The expansion that occurs when tectonic plates separate is what causes normal faults.
How does extensional knowledge work?Abstract. Extension knowledge is the extension of knowledge as a concept, while extension knowledge reasoning is the extension of knowledge as a tool. The extension reasoning formula's accuracy is demonstrated. The collection of objects that a concept or expression extends to or applies to in philosophical semantics or the philosophy of language is known as the concept or expression's "extension," .
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The coefficient of kinetic friction is 0.21, for a 8 kg block on the floor. It is being pulled by a 17 N force, what is the acceleration of the box?
The acceleration of the box is 0.025 m/s²
We'll begin by calculating the the frictional force
Coefficient of kinetic friction (μ) = 0.21
Mass (m) = 8 Kg
Acceleration due to gravity (g) = 10 m/s²
Normal reaction (N) = mg = 8 × 10 = 80 N
Frictional force (Fբ) =?Fբ = μN
Fբ = 0.21 × 80
Fբ = 16.8 NNext, we shall determine the net force acting on the boxFrictional force (Fբ) = 16.8 N
Force (F) = 17 N
Net force (Fₙ) =?Fₙ = F – Fբ
Fₙ = 17 – 16.8
Fₙ = 0.2 NFinally, we shall determine the acceleration of the boxMass (m) = 8 Kg
Net force (Fₙ) = 0.2 N
Acceleration (a) =?a = Fₙ / m
a = 0.2 / 8
a = 0.025 m/s²Therefore, the acceleration of the box is 0.025 m/s²
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Which option reflects the use of chunking to remember items to pack for a trip?
Making an alphabetical list of what to pack
Creating a rhyme to help remember what to pack
Making a list of items to pack organized by where each item is in your room
Creating an acronym to help memorize the list of items to pack
The correct option among the answer choice given above which reflects the use of chunking to remember items to pack for a trip is:
Making a list of items to pack organized by where each item is in your room
Option c is the correct answer
What is trip and ravelling ?A trip simply refers to a relatively short journey. It is called traveling when there is movement from one place to another usually to a long distant location
So therefore, the correct option among the answer choice given above which reflects the use of chunking to remember items to pack for a trip is:
Making a list of items to pack organized by where each item is in your room
Option c is the correct answer
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Answer:
C
Explanation:
Using gas law derive an expression for ideal gas equation
The fact that equal volume of all gases at the same Temperature and pressure contain the same number of molecules, and that one mole at s.t.p is 22.4dm^3 together with Boyle's and Charles' law
pV= RT or pV=nRT
Which force stops the car from moving?
The force of motion
The force of speed
The force of gravity
The force of Friction
Answer:
The force of friction.
Explanation:
Gravity keeps the car on the ground.
Motion Allows the car to move.
The force of speed doesnt make sense.
Friction would cause the car to stop moving.
Balok diam diatas bidang miring pada sudut kemiringan 40° balok mulai bergerak,tentukan koefisien gesek statis antara balok dan bidang miring
Answer:
0.84
Explanation:
m = Massa balok
g = Percepatan gravitasi
\(\theta\) = Sudut kemiringan
\(\mu\) = Koefisien gesekan statik antara balok dan bidang miring
Gaya balok karena beratnya diberikan oleh
\(F=mg\sin\theta\)
Gaya gesekan diberikan oleh
\(f=\mu mg\cos\theta\)
Kondisi dimana balok mulai bergerak adalah ketika gaya balok akibat beratnya sama dengan gaya gesek pada balok.
\(mg\sin\theta=\mu mg\cos\theta\\\Rightarrow \mu=\dfrac{mg\sin\theta}{mg\cos\theta}\\\Rightarrow \mu=\tan\theta\\\Rightarrow \mu=\tan40^{\circ}\\\Rightarrow \mu=0.84\)
Koefisien gesekan statik antara balok dan bidang miring adalah 0.84.
A 20 kilogram ball rolls down a ramp and accelerates at a rate of 12 m/s per second. what is the net force acting on the ball?
Answer:
240 N
Explanation:
F = m * a
= 20 kg * 12 m/s^2 = 240 N
Calculate the size of the magnetic field (in µT) at 10.76 m below a high voltage power line. The line carries 450 MW at a voltage of 300,000 V. You should round your answer to the nearest integer.
The magnetic field at 10.76 m below the high voltage power line is approximately 41,835,820 µT when the line carries 450 MW at a voltage of 300,000 V. Rounded to the nearest integer, the magnetic field is 41,836 µT.
To calculate the magnetic field at a distance below a high voltage power line, we use the formula \(B=\frac{u0IH}{2\pi r}\)
Current, I = 450 MW = 450 × 10^6 W
Height, H = 0 m (since the power line is at ground level)
Distance below the power line, r = 10.76 m
Using the formula for the magnetic field, we substitute the given values:
\( B = \frac{{(4\pi \times 10^{-7} \, \text{{T}} \cdot \text{{m/A}}) \cdot (450 \times 10^6 \, \text{{W}}) \cdot (0 \, \text{{m}})}}{{2\pi \cdot 10.76 \, \text{{m}}}} \)
Simplifying the expression:
\( B = \frac{{450 \times 10^6 \, \text{{W}}}}{{10.76 \, \text{{m}}}} \)
Calculating the value:
\( B \approx 41,835,820 \, \text{{T}} \)
Rounding the magnetic field to the nearest integer:
\( B \approx 41,836 \, \mu\text{{T}} \)
Therefore, the magnetic field at 10.76 m below the high voltage power line is approximately 41,836 µT (rounded to the nearest integer).
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11:10 OZ Quiz 4 Question 10/10 Take a look at the transit light curve on the slide titled "Planetary Transits (Eclipses)" from Lecture 7. Come up with an equation that will allow you to solve for the transiting planet's radius in terms of the star's radius, the normal flux of the star, and the minimum flux of the star during the transit. Then use this equation to solve for the radius of the planet if HD179070's radius is 1.86 times the radius of the Sun. Please give your answer in units of km.
To solve for the transiting planet's radius in terms of the star's radius, the normal flux of the star, and the minimum flux of the star during the transit, we can use the equation:
(ΔF / F) = (Rp / Rs)^2
Where:
ΔF is the difference in flux between the normal and minimum flux of the star during the transit,
F is the normal flux of the star,
Rp is the radius of the planet, and
Rs is the radius of the star.
To solve for the radius of the planet (Rp), we rearrange the equation:
Rp = Rs * √(ΔF / F)
Given that HD179070's radius (Rs) is 1.86 times the radius of the Sun and the other values are not provided, we cannot directly solve for the radius of the planet (Rp) without additional information.
Please provide the values for ΔF / F, the normal flux of the star (F), and the minimum flux of the star during the transit to calculate the radius of the planet (Rp) in units of km.
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