The horizontal angle will be 1.4598 rad and the intensity will be 1.576 W/m² in relation to the waves' initial direction.
A radar antenna is a gadget that broadcasts radio waves and watches for reflected waves. An antenna's performance is based on its capacity to recognize the precise direction in which an object is positioned.
The specified direction's horizontal angle is:
sinθ ∝ 1
sinθ = nλ/a
n ∝ λ/a
n = (88.9 * 10⁶ * 15)/ 3 * 10⁸ = 4.4454
n max = 4
The maximum angle θ4 = (4 * 3 * 10⁸)/ 15 * 88.9 * 10⁶ = 64.14°
The value of the wavelength is:
λ = c / v = (3 * 10⁸)/ (88.9 * 10⁶) = 3.3745 m
I = Imax [(sin δ/2)/ δ/2]
β/2 = π /4 (a sinθ)
β = π / 3.3745 (15 sin 6°) = 1.4597 rad
I = 3.4 * (sin 1.4597/ 1.4597)² = 1.576 W/m²
As a result, at horizontal angles, the intensity will be 1.576 W/m2 and the wave direction will be 1.4597 rad.
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the force exerted by the road on each tire of an accelerating car question 4 options: is less than the combined force of all four tires on the road. equals the combined force of all four tires on the road. is more than the combined force of all four tires on the road. noneof the above.
The force exerted by the road on each tire of an accelerating car is less than the combined force of all four tires on the road.
In mechanics, a force is any action that has the potential to change, maintain, or deform a body's motion. The three principles of motion outlined by Isaac Newton in his Principia Mathematica are frequently used to illustrate the idea of force (1687). Newton's first law states that a body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it. According to the second law, a body will accelerate (change in velocity) in the direction of any external force acting on it. The amount of acceleration is directly related to the amount of external force.
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If a player kicks a football from ground level with a velocity of
27.0 m/s at an angle of 30° above the horizontal, then how
long is the ball in the air?
Use g-9.81 m/s2 for the acceleration due to gravity.
The time for which the football will stay in the air is equal to 2.75 s.
What are velocity components?The projectile travels a parabolic path due to the effect of gravity. No horizontal forces act on it so there is no horizontal acceleration.
The velocity of a projectile has a horizontal component and a vertical component.
The vertical component of the velocity is, [tex]\displaystyle V_y = Vsin\theta[/tex]
The horizontal component of the velocity is, [tex]\displaystyle V_x = Vcos\theta[/tex]
Given the angle θ of the football with the X- axis = 30°
The velocity of the football V = 27 m/s
The Y component of the velocity, Vy = 27× sin30°
Vy = 13.5 m/s
The time for which football is in the air,
T = 2Vy/g = 2×13.5/9.8 = 2.75 s
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Which of the following objects requires the MOST power to lift?
A. A 2 kg box lifted 1 m in 1 s.
B. A 2 kg box lifted 2m in 1 s.
C. A 2 kg box lifted 1 m in 2 s.
D. A 2 kg box lifted 2 m in 2 s.
The object requires the MOST power to lift a 2 kg box 2 m in 1 s. Hence, option (B) is correct.
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Power required for lifting a 2 kg box 1 m in 1 s = (2×9.8×1)/1 watt = 19.6 watt.
Power required for lifting a 2 kg box 2 m in 1 s = (2×9.8×2)/1 watt = 39.2 watt.
Power required for lifting a 2 kg box 1 m in 2 s = (2×9.8×1)/2watt =9.8 watt.
Power required for lifting a 2 kg box 2 m in 2 s = (2×9.8×2)/2watt =19.6 watt.
So, The most power required in lifting a 2 kg box 2 m in 1 s.
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If we were to characterize how good a material is as an insulator by its resistance to dissipating charge, which of the following two materials is the better insulator? Dry Soil: epsilon_r = 2.5, sigma = 10^-4 (S/m) Fresh Water: epsilon_r = 80, sigma = 10^-3 (S/m)
Fresh water is better material for insulation than dry soil.
The electrons in water are bound by chemical bonds and are therefore unable to take part in conduction. Materials that effectively conduct heat are known as excellent conductors, whereas those that do not are known as bad conductors or insulators. This makes water an insulator.
Given data,
Dry soil ε[tex]_r[/tex] = 2.5, σ =[tex]10^-^4[/tex] s/m
Fresh water ε[tex]_r[/tex] = 80, σ =[tex]10^-^3[/tex] s/m
To test which is a good insulator first we need to calculate the value of Relaxation time constant. Relaxation time constant is given by,
τ[tex]_r[/tex]=ε/σ
Relaxation time constant of Dry soil is:
τ[tex]_r[/tex]=ε/σ
=2.5/[tex]10^-^4[/tex]
=2.5x[tex]10^4[/tex]s
Relaxation time constant of Fresh water is:
τ[tex]_r[/tex]=ε/σ
=80/[tex]10^-^3[/tex]
=8x[tex]10^4[/tex]s
The relaxation time constant is high for Fresh water. Hence, it takes more time to dissipate the charge.
Fresh water is better material for insulation than dry soil.
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in fig. 30-45, two straight conducting rails form a right angle. a conducting bar in contact with the rails starts at the vertex at time t 0 and moves with a constant velocity of 5.20 m/s along them. a magnetic field with b 0.350 t is directed out of the page. calculate (a) the flux through the triangle formed by the rails and bar at t 3.00 s and (b) the emf around the triangle at that time. (c) if the emf is at n, where a and n are constants, what is the value of n?
(a) The flux through the triangle formed by the rails and bar at t 3.00 s is calculated to be 85.2 Wb.
(b) The EMF around the triangle at that time is 56.8 V.
(c) If the EMF is at n, where a and n are constants, the value of n is 1.
(a) The height of the triangular area enclosed by the rails and bar is the same as the distance traveled in time t. So, we have d = v * t
where, v = 5.2 m/s
We also note that the base of the triangle is the distance between the intersection points of the bar with the rails which is 2 d. The area of the triangle is
A = 1/2 * b * h = 1/2 * 2 v t * v t = v² t²
As the field is said to be uniform B = 0.35 T
The magnitude of flux is given by,
Ф = B * A = 0.35 * v² t² = 0.35 * 5.2² * t² = 9.46 v² t²
At t = 3 s, we get Ф = 85.2 Wb
(b) The magnitude of EMF is
ε = dФ/dt = 9.46 dt²/dt = 18.9 t
At t = 3 s, ε = 18.9 t = 56.8 V
(c) Our solution part of (b) shows, n = 1
The question is incomplete. The attachment shows the figure.
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which moment corresponds to the minimum kinetic energy of the system? view available hint(s)for part b which moment corresponds to the minimum kinetic energy of the system? a b c d
Option A correlates to the system's least kinetic energy, according to the supplied statement.
Simply put, what is kinetic energy?Kinetic energy is the strength a thing possesses as a product of motion. To drive an object, a charge must be supplied to it. Energy is transmitted to the object once the work is accomplished, at which point it goes at a new, consistent rate.
What are some instances of kinetic energy?Kinetic energy, which may be seen in the motion of an object, particles, or group of particles, is the fuel of motion. Any moving object, such as a woman walking, a baseball being thrown, or a piece of food falling from a table, uses kinetic energy.
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the system is an open system because the total mechanical energy of the system is not constant, which means that an external force removed 140 j140 j of mechanical energy from the system.
This is true that the system is an open system because the total mechanical energy of the system is not constant, which means that an external force removed 140 j of mechanical energy. this can also be a closed system if there is only exchange of energy.
An open system can exchange energy and matter both with its surrounding. One example is the stovetop which releases heat water vapor to the surrounding.
A closed system can exchange only energy with surroundings, not matter. A tightly-fit container is an example of a closed system.
An isolated system can't exchange energy or matter with its surroundings. An insulated drink cooler can be thought of as an isolated system. A truly isolated system can't be obtained.
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the student designs an experiment to study the period of oscillation for an object on a spring. the student measures the mass of a sphere as m
A spring's spring constant is quadrupled by the oscillation period of an item on it.
Oscillation is defined as what?The pendulum's periodic to-and-fro motion is referred to as the Simple pendulum's oscillatory motion. One oscillation of a pendulum is defined as the motion of a bob as it moves from one end to the other and returns to the starting point.
How do motion and oscillation vary from one another?When an item goes back and forth frequently, this is referred to as an oscillatory motion. Periodic motion, on the other hand, describes a motion in which an item repeats a route after a set amount of time. However, not all periodic movements are oscillatory; only oscillatory motions are all periodic.
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___ is experimental coefficient of kinetic friction the slope of the line of best fit between kinetic frction and normal force
Answer is Force, The kinetic fiction force, also known as sliding friction, only affects moving objects (thus the term "kinetic"). Pushing a box across floorboards is an example of this force opposing sliding motion.
This sort of friction has a particular coefficient of friction (such as rolling friction). The materials used to create the contacting surfaces are particular to this coefficient. The coefficient will be higher on a rougher surface. This is the equation that will assist you in determining the coefficient of kinetic friction: The force holding the items together, or the force perpendicular to the surfaces in contact, is known as the normal force.
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A 60-kg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 16 cm. Part A What is the maximum torque she exerts? Express your answer to two significant figures. VO AEO ...] ? T= m.N
The maximum torque is 94.08 Nm and the rider can increase this by putting the leg on the edge of the paddle.
Torque is defined as the force that causes the rotation of an object on an axis. It is measured in Nm.
Mass of the person = m = 60 Kg
Radius of the circle = r = 16 cm = 0.16 m
Force = F = mg
Torque = t =
= t = F X r X sinθ
= t = mg X r X sinθ
= t = 60 X 9.8 X 0.16
= t = 94.08 Nm
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A circular saw is powered by a motor. When the saw is used to cut wood, the wood exerts a torque of 0.80N on the saw blade. If the blade rotates with a constant angular velocity of 20 rad/s the work done on the blade by the motor in 1.0 minis:
A. 0
B. 480 J
C. 960 J
D. 1400 J
J E. 1800 J
The amount of work performed on the blade by the motor in one minute is 960 J if the blade rotates at a constant angular velocity of 20 rad/s.
A force that generates rotation is known as a torque. demonstrates how well a force can rotate or twist an object.
We are know that,
Torque = F = 0.80N
Angular velocity = ω = 20rad/s
To calculate the value of work done we can use the equation,
work = torque x angular displacement
θ = ωt
θ = 20rad/s x 60s
θ = 1200rad
Then , from the above value we can calculate,
work = 0.80N x 1200rad
W = 960J
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Based on current evidence, decide whether each of the following statements apply to the concept of dark matter, dark energy, both, or neither. Drag each statement into the appropriate bin. Reset Help the universe contains more of this than it contains matter made from atoms "dark" because it emits only infrared has mass blocks light from stars behind it inferred to exist from the measured acceleration of the universe's expansion the proposed source of a universal repulsive force likely to consist of tiny, weakly interacting particles most common form of mass in the halo of the Milky Way Galaxy detected through its gravitational attraction we do not know what it is made of Dark Matter (only) Both Dark Matter and Dark Energy Dark Energy (only) Neither Dark Matter nor Dark Energy
The statements which apply to the concept of dark matter, dark energy, both, or neither is A)Reset help the universe contains more of this than it contains matter made from atoms "dark" because it emits only infrared.
Dark matter is a speculative type of issue remembered to represent roughly 85% of the matter in the universe. Dark matter is classified "dim" on the grounds that it doesn't seem to communicate with the electromagnetic field, and that implies it doesn't retain, reflect, or transmit electromagnetic radiation and is, in this manner, hard to recognize.
Different astrophysical perceptions - including gravitational impacts which can't be made sense of by right now acknowledged hypotheses of gravity except if more matter is available than should be visible - infer dull matter's presence. Consequently, most specialists imagine that dull matter is plentiful in the universe and has affected its construction and evolution.
The essential proof for dark matter comes from computations showing that numerous cosmic systems would act contrastingly on the off chance that they didn't contain a lot of concealed matter.
Hence, correct option is A.
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(Complete question) is:
Based on current evidence, decide whether each of the following statements apply to the concept of dark matter, dark energy, both, or neither. Drag each statement into the appropriate bin.
A) Reset Help the universe contains more of this than it contains matter made from atoms "dark" because it emits only infrared has mass blocks light from stars behind it inferred
B)to exist from the measured acceleration of the universe's expansion the proposed source of a universal repulsive force likely to consist of tiny.
C)weakly interacting particles most common form of mass in the halo of the Milky Way Galaxy detected through its gravitational attraction we do not know what it is made of Dark Matter (only)
when discussing gravitational force, do we look at the distance between the edges of objects, or the distance between their centers
The distance between two masses is measured between their edges, from their centers, or from one mass's edge to its center.
What do mean by gravitational?This moon's gravitational pull causes water tides to fluctuate over time. strong movement or propensity towards something or someone, whether inherent or external: The reasons why they are drawn to destructive behavior have been the subject of extensive inquiry.
What is gravitational and example?This term force of gravity refers to the force that the earth exerts on a body. Such examples include the downward motion of water in a river, its downward motion of a ball thrown into the air, and also the downward motion of the fruits and leaves that fall from a tree towards the ground.
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a 200g oscillator in a vacuum chamber has a frequency of 1.9 hz . when air is admitted, the oscillation decreases to 60% of its initial amplitude in 50s. How many oscillations will have been completed when the amplitude is 30% of its initial value?
Oscillations will have been completed when the amplitude is 30% of its initial value 236
A = Ao e (bt / 2 m),
Putting each of the values into the equation as a replacement:
A/Ao = e (b t / 2 m)
When A / Ao = 0.60 and t = 50 s, we discover that b is equal to 0.60 when A / Ao = 0.60 and ln (0.60) = b t / 2 m.
B = (2m) ln (0.60) / t B = (.200) (.60) / 50 B =.00409
We discover the following for t when A/Ao = 0.30: 0.30 = e( b t / 2 m) ln (0.30) = (0.00409) t / 2. (0.200)
t = − (0.200) ln (0.30) / 0.00409 t = 118 s
The number of oscillations is thus:
oscillations = f * t=2s-1(118s) = 236
A quantity oscillates repeatedly or periodically when it moves between two or more states or around a central value, which is frequently an equilibrium point. Two typical illustrations of oscillation are an alternating current and a swinging pendulum. Oscillations can be used in physics to model complex interactions like those between atoms.
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which of the following is not a preventative approach to slowing down the progression of global warming? group of answer choices reducing fossil fuel use removing co2 from smokestack and vehicle emissions repairing leaky gas pipeline infrastructure improving energy efficiency switching from coal to natural gas
Global warming is raised by the emission of greenhouse gases. Therefore, removing CO₂ from smokestack is a preventive approach to slowing down the progression of global warming.
What is global warming?Global warming is a global phenomenon of rising the temperature of earth's atmosphere which in turn have the consequences such as melting of snow, rising sea level etc.
The major cause of global warming is the greenhouse gas effect. Greenhouse gases are carbon, dioxide and methane and oxides of sulfur and nitrogen which are intensely absorbing the heat energy radiating from the earth and maintain the heat in earth itself.
Emission of carbon dioxide and hydrocarbon gases through the burning of fossil fuels causes, the atmospheric temperature to raise up. Therefore ,the removal of CO₂ from the air.
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the wind speed is 200 km/h air density is 1.3 kg/m^3 estimate the force of the wind on an adult standing facing the wind
The force of the wind on an adult standing facing the wind will be 518.4 Newtons if the wind speed is 200 km/h and the air density is 1.3 kg/m³.
To calculate the force of the wind on an adult standing facing the wind, you can employ the following formula:
Force (in Newtons) = 0.00256 × wind speed(in km/h)² × surface area(in m²) × air density(in kg/m³)
According to the given question, wind speed is 200 km/h, the air density is 1.3 kg/m³, and we'll assume the adult has a surface area of 1.8 m². Putting these values in the formula we get:
Force = 0.00256 × 200² × 1.8 × 1.3
= 0.00256 × 40000 × 1.8 × 1.3
= 256 × 1.8 × 1.3
= 518.4 Newtons
So, the force of the wind on an adult standing facing the wind will be 518.4 Newtons if the wind speed is 200 Km/h and the air density is 1.3 kg/m³.
This is a rough estimate, as the actual force of the wind on an adult will rely on varied aspects such as the shape of their body, the angle at which they are encountering the wind, and the kind of clothing they are wearing.
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A particle a traveling along the positive x axis of frame S with speed 0.5c decays into two identical particles, a b b, both of which continue to travel on the x axis. (a) Given that ma = 2.5mb, find the speed of either b particle in the rest frame of particle a. (b) By making the necessary transformation on the result of part (a), find the velocities of the two b particles in the original frame S.
The speed of either b particle in the rest frame of particle by making the nevessory transformation is √1 - 4m²/M² C.
Average velocity is a measure of total displacement divided by total time. The total displacement is the distance between the start and endpoints. Since the car moves from point A at both the start and end points the total displacement is zero and the average velocity is also zero.
Calculation:-
Ub1 = √1 - 4m²/M² C
Ub2 = - √1 - 4m²/M² C
Velocity is the distance traveled per unit of time, the speed of movement. The speed of a car traveling on a smooth, flat section of a highway without traffic congestion is constant and not zero. Acceleration is the rate of change of velocity. The reason is simple. Velocity is the percentage of time an object moves along a path and Velocity is the speed and direction of an object's movement.
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an object with height 0.85 cm is placed a distance 19.75 cm in front of a convex mirror with focal length -6.25 cm,removedde6d0d485ec413711a4e98afe87284678ac0bba70217810ba692cdd66aafdf8cremoved 2m68-57-20-4f-a59d-29897 20% part (a) calculate and enter a value for the magnitude of the distance between the image and the mirror given the values in problem statement. |di||di|
The distance between the image and the mirror is -4.63 cm.
The mirror equation is given by,
1/u + 1/v = 1/f
where, u is the distance to the object = 17.95 cm
v is the distance to the image
f is the focal length = -6.25 cm
Placing the values in the equation, we have
1/17.95 + 1/v = -1/6.25
1/v = -1/6.25 - 1/17.95
1/v = - 0.16 - 0.056
1/v = - 0.216
v = -4.63 cm ( minus sign indicates that the image is behind the mirror and it is virtual)
Thus, the image distance is -4.63 cm.
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2) Several possible forms for the spatial form of the wavefunction for a particle are sketched below. LIST the ones that are not physical, and give a reason for why each one is not. Dashed lines indicate that the wavefunction jumps from one value to the next at a single point. "МА, ДДД
The wavefunction jumps from one value to the next at a single point is mentioned below.
What is wavefunction ?
A particle's wave properties are mathematically described by its wave function, a variable quantity used in quantum physics. The magnitude of a particle's wave function at a certain place in space and time is proportional to the chance that the particle was there at that location at that precise moment.
What is single point ?
A common idealisation of particles in physics is the point particle, also known as an ideal particle, point-like particle, or point-like particle. Its absence of spatial extension, which distinguishes it from other objects since it lacks dimensions, makes it a non-physical object.
1) Second option the wave function cannot be discontinuous therefore this is also different from the actual wave function of the particle.
2) Not be the main function of the particle because this has double valued function at a single value of x and the main function is always single valued therefore this will not be a wave function for a particle to represent the special coordinates of the function.
3) This representation has a peak in it that means the Derivation for first derivative of the particle wave function will have a fixed value that will not be applied for the position of the particle so this will also not be the correct wave function.
Therefore, the wavefunction jumps from one value to the next at a single point is mentioned above.
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The specific heat capacities of F2(g), Cl2(g), Br2 (g), and I2 (g) are 0.824, 0.478, 0.225, and 0.145 JK^-1 g^-1, respectively. Compute the molar heat capacities of these elements and identify any periodic trend. If there is a trend, use it to predict the molar heat capacity of astatine, At2(g).
F2(g) = 31.2296, Cl2(g) = 16.9212, Br2 (g) = 35.955, I2 (g) = 18.4005. There is a trend the molar heat capacity of astatine, At2(g) is 167.8 J/molk
Molar heat capacity = At. wt. × specific heat.
Molar heat capacity
F2(g) = 0.824 × 37.9 = 31.2296
Cl2(g = 0.478 × 35.4 = 16.9212
Br2 (g) = 0.225 × 159.8 = 35.955
I2 (g) = 0.145 × 126.90 = 18.4005
There is a trend the molar heat capacity of astatine, At2(g) is 167.8 J/mol.k
A substance's molar heat capacity is the amount of heat needed to elevate a single mole of it by one degree Kelvin. [2] While measuring per mole rather than per gram of substance, molar heat capacity is quite comparable to specific heat capacity. Molar heat capacity (which doesn't change depending on how much substance is there) is an intense property. Joule per mole per Kelvin is the molar heat capacity SI unit. Heat capacity is the amount of energy needed to raise the temperature of a given quantity of material by one degree Celsius. One gram of a substance's heat capacity is referred to as its specific heat capacity (or specific heat), whereas one mole of a substance's heat capacity is referred to as its molar heat capacity.
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The electric potential, which is a scalar field, may be represented graphically by equipotential curves. The lines of electric field may be obtained from those equipotentials.
Several points have been indicated with black dots on the diagram below. Consider the direction of the electric field at each of those points, and drag the best-choice arrow label, or the E=0, if appropriate, to the corresponding bucket.
While the region with the lowest electric potential (20 V) will have the highest electric field, the region with the highest electric potential (80 V and 70 V) will also have the highest electric field.
Equipotential curves: what are they?Relationship between electric potential and electric field
E = V/d
where;
V is electric potential (V)
E is electric field (V/m)
d is the distance (m)
A two-dimensional curve where a function's value is constant. Isarithm, isopleth, and contour line are other names that are equivalent.
A location with a high electric potential (80 V or 70 V) will have a high electric field, whereas a region with a low electric potential (20 V) will have a low electric field since electric field and electric potential are directly proportional.
Describe the electric field.The field that surrounds electrically charged particles and pulls on all other charged particles in the field is known as the electric field.
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-The Kepler Conjecture: this quantity is maximized for HCP and FCC crystals
-Reciprocal: specific volume
-It is the ratio between kinematic and dynamic velocity
-Melting point line has a negative slope when this is greater for liquids than for solids
According to the Kepler Conjecture, this amount is maximal for crystals of HCP and FCC. This is the reciprocal of a certain volume, and it represents density as the ratio of kinematic to dynamic velocity.
The Kepler conjecture is a mathematical theory involving sphere packing in three-dimensional Euclidean space, and it is named after the 17th-century mathematician and astronomer Johannes Kepler. A planet's orbits around the sun are accurately described by Kepler's third law in terms of their period and distance. According to Kepler's Laws of Planetary Motion, planets move in elliptical orbits with the Sun as their point of focus, cover the same amount of space in the same amount of time regardless of where they are in their orbit, and have orbital periods that are proportional to their distance from the Sun.
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consider a string of length 1.0 meter, fixed at both ends, with mass 100 grams and tension 100 newtons.
Mass is an intrinsic property of a body. It turned into traditionally believed to be related to the quantity of being counted in a physical body until the discovery of the atom and particle physics.
‘The wavelength of the wave shape on the string is,
1”
31.6 ms
‘95 Hz
If one antinode is formed on the string, then the duration of the string is,
=0.3328 m
2
If two antinodes are formed, then the length of the string is,
“4
allow 7 to be the number of antinodes shaped.
io)
a
_2(1.0m)
© 0.3328 m
Normally, nodes form at both ends of the string. as a result, the range of nodes formed is
Usually extra than one this is the number of nodes fashioned is 6+1=7.
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PLS HELP URGENT A moon orbits a planet as shown above.
The moon has a mass 0.66 x 1022 kg and the gravitational field strength at distance R is 0.0012 N/kg. What is the magnitude of the gravitational force exerted by the planet onto the moon while it is in orbit of radius R?
Type your answer in scientific notation with two decimal places. Example: 1.23*10^4
The "magnitude of the gravitational force exerted by the planet onto the moon" (whew!) is just the moon's weight.
Weight = m•g ...... We know both of these
(0.66 x 10^22 kg) • (0.0012 N/kg) =
7.92 x 10^18 Newtons
suppose a cylindrical solenoid of radius r and turns per length n has a clockwise current that decreases according to the function i
Due to the unit current being passed through the first coil, mutual inductance is FLUX induced in the second coil.
Let me represent the larger coil's current. the magnetic field (B) there in
B = μ₀n i where n is the number of turns per unit length.
B = μ₀ (N / L) i
Magnetic flux associated with small coil placed near its axis
Flux(Ф)= B X πR² X N
Flux(Ф) =μ₀ (N / L) i X πR² X N
Flux(Ф)== μ₀ (N² / L) i X πR²
Flux(Ф) induced by unit current
M = μ₀ (N² / L) X πR²
The questions is incomplete I answered it in general way.
A solenoid has length L, radius R, and number of turns N. A second smaller solenoid of length L, radius R and number of turns N is placed at the center of the first solenoid, such that their axes coincide. What is the mutual inductance of the pair of solenoids
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A reservoir manometer consists of a U-tube in which the two arms have different diameters, as shown in Fig. 13-1. The diameter on the narrow side is 10.0 mm and the diameter on the reservoir side is 25.0 mm. The liquid in the manometer is oil with a density of 830 kg/m3 and the fluids in contact with the oil are gases of negligible density. The dotted line indicates the level of the oil when the pressures p 1 andp 2 are equal. What is the value ofh whenP 1 -P 2 = 1000 Pa?
A U - tube manometer with two arms of two different diameters and their pressures are given. The value of height h is calculated to be 11 cm.
Given that,
D₁ = 10 mm = 10* 10⁻³ m
D₂ = 25 mm = 25* 10⁻³ m
Density of oil in the manometer ρ = 830 kg/m³
P₁ - P₂ = 1000 Pa
We know the relation between pressure, density of liquid in manometer, height of the liquid column, diameters of the manometer as
Placing in the values of the formula, we have,
P₁ - P₂ = ρ* g* h [ 1 + (10* 10⁻³/25* 10⁻³)²]
1000 = 830* 9.8* h [ 1 + 0.16]
h = 100/(83* 9.8* 1.16) = 100/ 943.5 = 0.11 m = 11 cm
Thus, the value of h is 11 cm.
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A ball is thrown upwards at time t = 0. The graph shows the variation with
time of the height of the ball. The ball returns to the initial height at time
T.
What is the height h at time t ?
The height at which the half time is provide as the equation in a. Here, the time t is not half of the total time of flight. Thus, the correct equation is option D.
What is horizontal flight?When an object flies to a height t, with a speed and its height depends on the time of travel. There is linear relation with the time of fly and height upto a point in the horizontal flight and after that, the height reduces with time.
Here, height at the exact middle of the plot that is at the half of the time the equation corresponding to the height is
h = 1/2 gt²
But the time given here is not the half of total time and the time can be taken as T-t. Therefore, the equation corresponding to the height of the ball is
1/2 g t (T- t).
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A charged particle moves in a circular path in a uniform magnetic field.
Which of the following would increase the period of the particle's motion?
Check all that apply.
Increasing its charge
Increasing its mass
Increasing the field strength
Increasing its speed
A charged particle moves in a circular path in uniform magnetic field, then following would increase the period of the particle's motion: Increasing its charge and Increasing the field strength.
What would increase the period of the motion of particle?For charged particle moving in circular path in uniform magnetic field, centripetal force is provided by magnetic force,
q v B = mv²/r
Here, q is charge, v is velocity and B is magnetic field
m is mass, r is radius of the orbit
The period of the motion is given as :
T= 2πr/v
Substituting value of T in previous equation.
Now, q v B= m Tv³/2π
Hence, T= 2πq B/mv²
Here, we can clearly see that the period is: directly proportional to the charge and the magnetic field but inversely proportional to mass and square of the speed.
Therefore, increasing its charge and the field strength will increase the period of the particle's motion.
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Using the concepts of impulse and momentum, describe how to win a water balloon contest by not breaking the balloon.
Requirements:
o Focus on the catch.
o You must mention how momentum, impulse, force and impact time play a part in the catch.
o You may use diagrams to support your reasoning.
o Remember the equation: ∆p = m∆v = F∆t
Answer:
Below
Explanation:
To win a water balloon contest without breaking the balloon, you must focus on the catch. Momentum, impulse, force, and impact time all play a crucial role in the success of the catch.
The key to catching a water balloon without breaking it is to minimize the impact force on the balloon. The impact force is determined by the momentum of the balloon, the impulse applied to the balloon, and the impact time.
Momentum is the product of an object's mass and velocity. In this case, the water balloon has a certain mass and velocity as it is thrown towards you. The greater the momentum of the balloon, the harder it will be to catch it without breaking it.
Impulse is the product of the force applied to an object and the time over which that force is applied. When catching a water balloon, you must apply an impulse to the balloon in order to stop it. The greater the impulse, the more effectively you will be able to stop the balloon.
The key to catching a water balloon without breaking it is to apply a large impulse to the balloon over a short period of time. This will minimize the impact force on the balloon and prevent it from breaking.
To do this, you must pay careful attention to the movement of the balloon as it is thrown towards you. As the balloon approaches, you must quickly move your hand to intercept it and apply an impulse to stop it. This can be done by cupping your hand and applying a gentle but firm push to the balloon as it hits your hand.
By applying the right amount of impulse over a short period of time, you can effectively stop the balloon and prevent it from breaking. This will allow you to win the water balloon contest without breaking the balloon.
In summary, to win a water balloon contest without breaking the balloon, you must focus on the catch. Pay attention to the movement of the balloon and apply an impulse to stop it over a short period of time. This will minimize the impact force on the balloon and prevent it from breaking.
part h find the capacitor charge when the current has half the value that you found in part e. express your answer with the appropriate units.
The capacitor charge when the current has half the value is 3.175 uc.
Describe the capacitor.
An electrical component known as a capacitor uses a battery to draw power and stores it. The terminals inside are connected to two metal plates that are spaced apart by a non-conducting material. A capacitor swiftly releases electricity after activation in a very little period of time.
At this point, the capacitor charge will be:
E= 1.739 x [tex]10^{-8}[/tex] J
Qc= [tex]\sqrt{2. 1.739. 10^{-8}. 290. 10^{-6} }[/tex]
Qc= 3.175 x [tex]10^{-6}[/tex]
=3.175 uC
Therefore, the capacitor charge when the current has half the value is 3.175 uc.
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Complete question:
An L-C circuit consists of_ 60.0 mH inductor and 250 pF capacitor The initial charge on the capacitor is 6.00 pC and the initial current in the inductor is 0.600 mA.
Part H Find the capacitor charge when the current has half the value that you found in part E_ Express your answer with the appropriate units.