answer is 120 cubic meters/second
Briefing
if a river has an average width of 20 m,Width (W)= 20 m
width of 20 m,Depth (D)= 2 m
flowing with a velocity of 3 m/s, Velocity(V)= 3m/s
Discharge = V x D x W
Discharge = 20 × 2 × 3 =120 m3/s
Discharge is 120 cubic meters/second
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A heavy piece of hanging sculpture is suspended by a 90 cm long 5.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 95 Hz.What is the mass of the sculpture?
According to the given statement 16.7kg is the mass of the sculpture.
What is a fundamental frequency in physics?The lowest frequency that could be produced by a particular instrument is known as the fundamental frequency. The fundamental frequency is also known as the instrument's first harmonic.
Briefing:Use the string's tautness' fundamental frequency as a formula.
f = (1/2L)*√(T/μ) .... (Eqn1)
Where
f= frequency in Hertz =80Hz
T = The string's tension equals Mg.
M is a symbol for the substance's mass (sculpture)=?
g= 9.8m/s^2
L= Length of the string=90cm=0.9m
μ= string length divided by mass gives the string's density.
mass of string =5g=0.005kg
L=0.9m
μ=0.005/0.9 = 0.0056kg/m
Using (Eqn1)
95= 1/(2*0.9) √(T/0.0056)
171= √(T/0.0056)
Square both sides
29241= T/0.0056
T= 163.74 N
Recall that T =Mg
163.74= M * 9.8
M=163.74/9.8
M= 16.7kg
Consequently, the sculpture weighs 16.7kg.
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A student wants to make a simple model of the solar system to help him compare how long it would take for a spaceship to travel between different planets.
Which of the following things is essential for him to do in order to think about how long it would take?
this are the opions
He must make sure that the model of each planet looks like the planet it represents, but he does not need to accurately represent the relative distances between the planets because the most important thing is that models look like the thing they are modeling.
He must accurately represent the relative distances between the planets, but he does not need to make sure that the model of each planet looks like the planet it represents because only the relevant aspects of the thing being modeled need to be modeled accurately.
He must accurately represent the relative distances between the planets and also make sure that the model of each planet looks like the planet it represents, because a model should be as much like the thing being modeled as possible.
He does not need to accurately represent the relative distances between the planets, and he does not need to make sure that the model of each planet looks like the planet it represents, because there are always some differences between a model and the thing being modeled.
Answer:
To make a simple model of the solar system that can be used to compare the time it would take for a spaceship to travel between different planets, the student must accurately represent the relative distances between the planets. This is because the time it would take for a spaceship to travel between two planets depends on the distance between those planets, so accurately representing the distances between the planets is essential for thinking about how long it would take for a spaceship to travel between them.
It is not necessary for the student to make sure that the model of each planet looks like the planet it represents, although this may help make the model more understandable. The most important thing is that the model accurately represents the relative distances between the planets.
In summary, the student must accurately represent the relative distances between the planets in order to think about how long it would take for a spaceship to travel between different planets in the solar system.
what are the magnitude and location (with respective to point a) of the resultant force on the horizontal gate? the gate width is w. fluid density is r. you can leave your answer in terms of variables (w, r, and g).
The magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.
What is magnitude?Magnitude is a measure of the size or intensity of a physical quantity. It is usually defined as the absolute value of the numerical value of the physical quantity, and is often expressed in terms of a unit of measurement. Magnitude can refer to a variety of different physical quantities, such as size, intensity, brightness, or energy. Magnitude can also refer to the relative size or intensity of two or more physical quantities, when compared to each other.
The resultant force on the horizontal gate is equal to the sum of the hydrostatic forces acting on the gate.
Since the gate is horizontal, the hydrostatic forces acting on the gate will be equal to the pressure difference between the top and bottom of the gate.
This pressure difference is equal to the product of the fluid density, gravitational acceleration, and the gate width.
Therefore, the magnitude of the resultant force on the gate will be:
F = w * r * g
The location of the resultant force on the gate will be at the center of the gate, which is point A.
Therefore, the magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.
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in an experiment, block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above. when the two blocks collide, there is a completely inelastic collision and the blocks move together with speed . the blocks were both placed on a balance, and it is determined that they have the same mass. the experiment is repeated for four different initial speeds, and the data are shown in the chart below. it appears that the resulting data are not accurate. which measurement most likely produced errors in the data seen in the chart below?
The results that we get from the experiment is accurate within the limits of experimental error. Option E
What is true about the experiment?We know that an experiment is the way by which we can be able to establish a cause and effect relationship. In this case, we can see that there is an inelastic collision that has occurred between the two blocks that have collided in the instance that we can see here.
Looking at the set up of the experiment, it is clear that the block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above.
All of the set up is okay based on the way that such an experiment ought to be arranged to enable us to get a very accurate result out of the work that has been done here.
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which type of wave has a wave perpendicular to the disturbance?responses surface surface longitudinal longitudinal mechanical mechanical transverse
The disruption of a transverse wave propagates perpendicular to the direction of propagation.
Depending on the type of motion they experience, mechanical waves can either be transverse or longitudinal. It should be emphasized that transverse and longitudinal waves can both have periodic behavior.
Transverse wave: what is it?
An oscillating wave that moves in the opposite direction of its oscillations is referred to as a transverse wave in physics. On the other hand, a longitudinal wave travels in the direction of its oscillations. Water waves are transverse waves.
A transverse wave is what sort of wave?
Transverse waves include phenomena like string vibrations and sea surface ripples. The slinky may be swung horizontally up and down to produce a transverse wave. A longitudinal wave's particles are scattered perpendicular to the direction that the wave is moving.
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All living organisms are mainly composed of what elements? * 1 point A. Carbon, Phosphorus, Nitrogen, Oxygen, Potassium B. Calcium, Phosphorus, Nitrogen, Oxygen, Vibranium C. Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus D. Sodium, Carbon, Nitrogen, Hydrogen, Helium
All living organisms are mainly composed of the elements: Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus.
The correct answer choice is option c.
What are living organisms?Living organisms are those things that has life. They include plants and animals. Living organisms be it plants or animals are composed of important elements such as carbon, oxygen and others.
However, there are certain characteristic features which living organisms possess. Some of these characteristics of living things are as follows:
Movement: The ability of living organisms to move from one place to another or to move Its body parts. There are two major types of movement known in living organisms. These are: Active movementPassive movementOther characteristics of living organisms are:
RespirationNutritionIrritabilityGrowthExcretionReproduction AdaptationCompetitionIn conclusion, we can now confirm from above the explanation given above that living things are made up of certain elements.
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what would most likely happen if coastal north carolina increased implementation of wind energy?
The option that is more likely to happen if coastal north Carolina increased implementation of wind energy is The production of greenhouse gases would decrease.
A gas that produces the greenhouse effect by both absorbing and emitting radiant radiation in the thermal infrared range is referred to be a greenhouse gas. The five main greenhouse gases in the atmosphere of Earth are ozone, carbon dioxide, methane, and water vapor.
A renewable energy source is wind energy. It is non-polluting, never runs out, and reduces the demand for fossil fuels, which are the source of greenhouse gases that cause global warming.
By increasing the implementation of wind energy,
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the rope-and-pulley system of negligible mass shown above supports a block of weight w that is at rest. if the tension throughout the rope is uniform, what is the reading on the spring scale?
The rope-and-pulley system of negligible mass shown above supports a block of weight w that is at rest. if the tension throughout the rope is uniform.
To determine the reading on the spring scale, we can apply Newton's Second Law of Motion to the block of weight w. The net force on the block is equal to the block's mass times its acceleration: F net = ma The only force acting on the block is the force of gravity, which is equal to the weight of the block: F net = F gravity = w The acceleration of the block is zero, since it is at rest: w = ma = m * 0 . This equation tells us that the force of gravity on the block is zero, which means that the block is in equilibrium and the tension in the rope is zero. Therefore, the reading on the spring scale is zero.
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Answer:
W/2
Explanation:
The original question does not include a diagram which is necessary for answering the question.
The diagram shows a spring scale attached to the ceiling. Below the spring, 2 pulleys are attached, holding the block at 2 separate points. As a result, there will be 4 ropes (2 attached to the spring scale, and 2 to the ceiling).
Because the tension is dispersed evenly among the 4 points, we can say that the scale will only read half the weight as the rest of the tension will be held by the ceiling.
Therefore, the spring scale will read W/2
I wish that I can upload the diagram, but unfortunately, I cannot. I assume that you will have access to the diagram.
Hope this helped!
terference is a property of a. light waves. b. sound waves. c. water waves. d. all of these e. none of these
When two Polaroids' axes are parallel, light cannot flow between them. a 45° angle between them. Parallelc. Perpendiculard. a pair of these. each of these 45.
An entrepreneur suggests providing polarised background music for offices and allowing those who would rather not hear it to do so by using polarising earbuds.Mechanical vibrations in the form of sound waves are transmitted from an item to the ear. These vibrations may arise from a person's voice, a musical instrument, thunder, or an earthquake and can be audible or inaudible. By connecting a pair of headphones to the speakers and turning on the sound, a sound wave can be heard.
Light is electromagnetic radiation, and light is electromagnetic radiation.
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A car travels down a road at a certain velocity, vcar. The driver slows down so that the car is traveling only a third as fast as before. Which of the following is the correct expression for the resulting velocity?
a. 2vcar
b. 1/3vcar
c. -1/2vcar
d. -2vcar
The correct expression for the resulting velocity is -1/2 vcar. The correct option is c.
What is velocity?
The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
A car travels down a road at a certain velocity, is Vcar.
Let the initial velocity of the car travel downward be -V car
It is also, given, that the driver slows down so that the car is traveling only half as fast as before.
Resulting velocity = -1/2 vcar
Therefore, the correct option is c. -1/2vcar.
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If the forces exerted on a 2-kg object are 50 N east and 30 N west, what is the object's acceleration?
If the forces exerted on a 2-kg object are 50 N east and 30 N west, the object's acceleration is 10 m/s².
What is acceleration?Acceleration is defined as the speed at which an object's velocity changes over time. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
To calculate acceleration we use formula
F = m x a
Given m = 2 kg
Net force = 50 N - 30 N
= 20 N
a = F / m
a = 20 N / 2 kg
a = 10 m/s²
Thus, if the forces exerted on a 2-kg object are 50 N east and 30 N west, the object's acceleration is 10 m/s².
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suppose a woman does 550 j of work and 9800 j of heat transfer occurs into the environment in the process. (a) what is the decrease in her internal energy (in kcal), assuming no change in temperature or consumption of food? (that is, there is no other energy transfer.) -10350 kcal (b) what is her efficiency (in percent)? %
W = -500 J is the work, which is why it's negative because a woman is doing it.
Briefing
The heat transfer into the system,
Q = 9500 J, makes it positive.
(a) Heat and work are added to determine the change in internal energy, which is:
ΔU = Q+W
We replace with:
ΔU = 9500 J-500 J
ΔU = 9000 J\s(b) (b) The quantity of useful work completed given a total energy supply is now what is generally referred to as an efficiency. From this, we may divide the woman's labour by the shift in internal energy, giving us
= 500 j / 9000 j.
We get:
ϵ = 0.0556~ 5.56%
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based on its surface temperature of 6,000 k, most photons that leave the sun's surface lie in which region of the electromagnetic spectrum?
Most photons that leave the sun's surface have a surface temperature of 6,000 K, which corresponds to the visible light region of the electromagnetic spectrum.
The electromagnetic spectrum is a continuous range of wavelengths and frequencies that includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. The wavelengths and frequencies of these different types of electromagnetic radiation are all different and correspond to different regions of the spectrum.
The visible light region of the electromagnetic spectrum is the portion of the spectrum that can be seen by the human eye. It ranges from about 400 nanometers (nm) to about 700 nm in wavelength, and corresponds to frequencies of about 7.5 x 10^14 Hz to about 4.3 x 10^14 Hz. Photons with wavelengths and frequencies in this range have enough energy to excite the photoreceptors in the human eye, allowing us to see them.
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Please help this is urgent
Consider a planet and an asteroid in the solar system. Both their orbits can be considered as a circle. Their distance to the center of the sun differ by a factor of 4. rB = 4 rA
When r increases by a factor of 4, how do period T, angular velocity ω, and linear speed v change respectively?
1. [tex]T_{B}[/tex] = ___ [tex]T_{A}[/tex]
2. [tex]\omega_{B}[/tex]=___[tex]\omega_{A}[/tex]
3. [tex]v_{B}[/tex] = ___[tex]v_{A}[/tex]
A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.
What angular velocity ω, and linear speed v respectively?While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.
Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.
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describe how energy travels from the nuclear core of the sun to the atmosphere. in your answer, include the name of each layer and describe how energy moves through the layer.
Energy travels from the nuclear core of the Sun to the atmosphere through a process called thermal radiation. Thermal radiation is the emission of electromagnetic waves from a body due to its temperature.
The Sun is composed of several layers, including the core, the radiative zone, and the convective zone. Energy travels through these layers as follows:
1. Core: The core is the innermost layer of the Sun and is where nuclear fusion reactions take place. In these reactions, hydrogen atoms are combined to form helium, releasing a large amount of energy in the process. This energy is in the form of electromagnetic radiation, including visible light and ultraviolet radiation.
2. Radiative zone: The radiative zone is the layer of the Sun just outside the core. In this layer, the energy released in the core is transported outward through the process of thermal radiation. Photons, or particles of light, are emitted from the surface of the core and travel through the radiative zone, gradually losing energy as they move outward.
3. Convective zone: The convective zone is the outer layer of the Sun. In this layer, the energy transported by thermal radiation is not enough to sustain the temperature of the Sun, so the energy is transferred through the process of convection. In convection, hot gas rises and cool gas sinks, resulting in the transfer of heat from the interior of the Sun to the surface.
Overall, energy travels from the nuclear core of the Sun to the atmosphere through the process of thermal radiation and convection. These processes help to transport energy from the core of the Sun to the surface, where it is emitted into space as electromagnetic radiation.
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Which choice below explains what is happening in a liquid as it turns into a gas?
a. The particles speed up and spread apart
b. The particles speed up and come closer together
c. The particles slow down and spread apart
d. The particles slow down and come closer together
Answer:
a
Explanation:
As you add thermal energy the particles spread apart and are moving faster ..... a certain volume of water produces a much larger volume of steam as energy is added.....that is how steam engines work !
PLEASE HELP I PAY 88 POINTS AND THANK YOU AND BRAINLIEST
Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.
Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)
Answer: Down below is the answer in complete sentences!
Explanation:
PART A:
Gravity and Acceleration are two additional forces acting upon the sled.
PART B:
Gravity will affect the sled by pulling it down, since the slope of the hill is negative.
Acceleration will affect the sled by gradually increasing it's speed, since the slope is downwards, which in addition to the initial force exerted plus gravity increases the speed, thus the sled accelerates.
suppose the gravitational acceleration at the surface of a certain moon a of jupiter is 2 m/s2. moon b has twice the mass and twice the radius of moon a. what is the gravitational acceleration at its surface? neglect the gravitational acceleration due to jupiter.
Neglecting the gravitational acceleration due to jupiter , the gravitational acceleration at the surface of moon b is 8 m/s².
The gravitational acceleration at the surface of the moon is determined using the equation G*M/r^2, where G is the gravitational constant, M is the mass of the object, and r is the radius of the object.
Calculate the gravitational acceleration at the surface of moon a, using the equation for gravitational acceleration:
g = G * M / r2
where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.
g = 6.67x10-11 Nm2/kg2 * M / r2
g = 6.67x10-11 Nm2/kg2 * (mass of moon a) / (radius of moon a)2
g = 2 m/s2
Step 2: Calculate the gravitational acceleration at the surface of moon b, using the equation for gravitational acceleration:
g = G * M / r2
where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.
g = 6.67x10-11 Nm2/kg2 * (2 * (mass of moon a)) / (2 * (radius of moon a))2
g = 8 m/s²
Therefore, the gravitational acceleration at the surface of moon b is 8 m/s².
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1.
KNOW the UNITS!!!!!! SHOW YOUR WORK
What is the net force exerted on a 150.0kg race-car driver while the race car is accelerating from 0 to 58.7m/s i
3.50s?
Answer:
2515.7N
Explanation:
First step is to find the acceleration:
U = 0 and V =58.7 m/s
a = (V-U)/t
where, t = 3.5s
a = 58.7/3.5
so, in order to find the net force,
F= ma
= 150kg × 58.7/3.5
= 2515.7 N
true or faule because only one path exists for the current to flow through a series circuit, it must flow through each resistor in the circuit.
In a series circuit, there is only one path for the current to go, hence each resistor in the circuit must conduct current. For series-connected resistors, this assertion is accurate.
Why does a series circuit just have one path for current?This is thus because a series circuit only has one path for current to move along. Since conductors carry electric charge, the rate of flow at any point in the circuit at any given instant must be equal.
What takes place when a circuit path is damaged?Current will stop flowing in the circuit if any section of this path is damaged. Any series-connected set of parts in a circuit that doesn't have any junctions must all have the same amount of current flowing through them. Devices are connected in a parallel circuit so that current can go along more than one closed path.
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What is the relationship between the net force applied to an object and the work done on that object?
Answer:
work done is directly proportional to the net force acting on the object.
Explanation:
work done = Force × displacement
newton's second law in 1 dimension: what magnitude net force is required to accelerate a 1200-kg car uniformly from 0 m/s to 27.0 m/s in 10.0 s?
The required force is F = 3240 N.
As a result,
1200 kg is the car's mass.
Initial speed of the vehicle, u = 0.
The car's final speed is 27 meters per second.
Thus we have to first calculate the acceleration and then substitutes its value in the force formula
Taking time, t = 10 s
F = m a, where a represents the vehicle's acceleration, is the formula for the required force.
a= v - u / t
thus a = 27 - 0/ 10
a = 27/ 10
F = 1200 X 27 / 10
F = 3240 N.
Therefore, this is the necessary solution.
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gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always the same. how fast is the height of the pile increasing when the pile is feet high? recall that the volume of a right circular cone with height and radius of the base is given by .
The fast is the height of the pile increasing when the pile is feet high 0.1989 ft/min.
Calculation:
Here given the rate of change in volume DV/DT = 40 actions and we need the rate of change in height when height h = 16.
Putting all values.
40 = π/4 x (16)² x DV/DT
= DV/DT= 40 x 4/ 1×16×16
0.1989 ft/min.
Rate of change in height when height is 16 H is equal to 0.1989 ft/min.
The goal is to get a text from as many modalities as possible so that models trained on The Pile have broader generalization capabilities. For stakes, experts believe it comes from the Latin word pira. Pila loosely translates to the ball. If you've ever seen inflamed hemorrhoid, you'll understand this moniker better. Many hemorrhoids actually look like small round spheres.
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questions 10-11 refer to a ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. the ball rises to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid. 10. what forces, if any, act on the ball while it is on the way up?
Only a decreasing gravitational force that acts downward will apply on the ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere.
What is gravitational force?All physical things with mass are drawn to the gravitational force, which can be thought of as an attracting force. It is the known natural force that is by far the weakest.The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward each other by gravity.
Hence,
Only a decreasing gravitational force that acts downward will apply on the ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. The ball rises to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid.
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A 100 kg car starts from 20 m/s and speeds up to 41 m/s in 7 seconds. Determine the car's
acceleration.
Answer: 3 m/s^2
Explanation:
Acceleration equals change in velocity (speed) divided by total time.
a = (v2-v1)/t
a = (41 m/s - 20 m/s) / 7 s
a = 3 m/s^2
Mass is irrelevant in this question.
what is the current through the heating element of an electric toaster oven if the heater has a resistance of 5 ohms and it is connected to 120 volts?
Answer:
24 A
Explanation:
Ohm's Law: V = IR, so I = V/R
I = 120V/5Ω = 24 A
a uniform thin rod of length 0.50 m and mass 4.0 kg can rotate in a horizontal plane about its center. a 3.0 gram bullet hits the end of the rod (initially at rest) at an angle of 60 degrees and imbeds in the rod. if the angular speed of the rod is 10. rad/s after the bullet strikes, what is the speed of the bullet before it strikes the rod?
The speed of the bullet before it strikes the rod is 67 m/s. To determine the speed of the bullet before it strikes the rod, we need to consider the conservation of angular momentum.
The moment of inertia of a thin rod about its center is given by the following formula:
I = (1/3) * m * L^2where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.
Substituting the values given in the problem, we find that the moment of inertia of the rod is
(1/3) * 4.0 kg * (0.50 m)^2 = 0.67 kg*m^2.In this case, the bullet strikes the rod, transferring some of its linear momentum to the rod in the form of angular momentum. The change in angular momentum of the rod is equal to the angular momentum of the bullet.
We can use the conservation of angular momentum to write the following equation:
I1 * w1 + J = I2 * w2where I1 is the initial moment of inertia of the rod, w1 is the initial angular velocity of the rod, J is the angular momentum of the bullet, I2 is the final moment of inertia of the rod, and w2 is the final angular velocity of the rod.
Since the initial angular velocity of the rod is zero, we can simplify the equation as follows:
J = I2 * w2
Substituting the values given in the problem, we find that the angular momentum of the bullet is
0.67 kgm^2 * 10 rad/s = 6.7 kgm^2/s.To determine the speed of the bullet before it strikes the rod, we need to consider the bullet's mass and the angle at which it strikes the rod. The mass of the bullet is given as 3.0 grams, which is equivalent to 0.003 kg. The angle at which the bullet strikes the rod is given as 60 degrees.
We can use the following formula to calculate the speed of the bullet before it strikes the rod:
v = (J/m) * sin(theta)Substituting the values given in the problem, we find that the speed of the bullet before it strikes the rod is (6.7 kg*m^2/s / 0.003 kg) * sin(60 degrees) = 67 m/s. This is the final answer.
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boat moves north at a velocity of 2.5 m/s while the current moves downstream at 6.0 m/s east. What is the resultant velocity of the boat, relative to an observer on the shore?
A) 4.5 m/s, NE
B ) 4.5 m/s, SE
C ) 6.5 m/s, NE
D ) 6.5 m/s, SE
E) 8.5 m/s, NE
Relative to the observer in on the shore, the velocity of the boat is 6.5 m/s, NE.
What is relative velocity?
The velocity of an object in relation to another observer is known as its relative velocity.
We cay say that the relative velocity is equal to the vector difference between the velocities of two objects. The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.
The diagram below shows the calculation where AC is relative speed, AB is speed of the boat and BC is the speed of stream.
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a simple pendulum is 4.00 m long. (a) what is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 6.00 m/s2?
The time period of the small oscillations for the simple pendulum is found to be 3.14 seconds.
The pendulum is located in an elevator that is accelerating upwards with an acceleration of 6m/s² and length of the pendulum is 4m.
Because the elevator is accelerating in the upper direction the net acceleration of the pendulum will be (10 + 6)m/s².
The period of small accelerations for this pendulum will be given by the relation,
T = 2π(l/a)
Where, l is the length of pendulum and a is the net acceleration.
Putting values,
T = 2π(4/16)
T = 2π(1/2)
T = π seconds.
T = 3.14 seconds.
So, the time period of this small oscillations for this pendulum is 3.14 second.
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if a planet (or asteroid) orbited the sun at three times the distance of mars, its orbital speed would be
If a planet (or asteroid) orbited the sun at three times the distance of mars, its orbital speed would be about one-third to two-thirds the speed of Mars' orbit .
What is meant by solar system?The Sun, our star, and everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and Our solar system is made up of millions of asteroids, comets, and meteoroids.
The Solar System is made up of the Sun, eight planets, and a variety of other celestial bodies. These celestial bodies and planets are drawn to the Sun and circle around it. Our solar system is made up of the Sun, a common star, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
The complete question is : Now, let's turn our attention to rotation curves for orbiting masses which are not rigidly held together like the points on a merry-go-round. The Rotation Curve of the Solar System animation shows the orbits of Mercury, Venus, Earth, and Mars. Click on each of the orbits, and watch the corresponding points appear on the graph below it. If a planet (or asteroid) orbited the Sun at three times the distance of Mars, its orbital speed would be __________.
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