Answer: the weight of the box is 980N
Explanation:
The weight an object has is defined as the force of gravity acting on that object which is given as
w =m x g
Since weight is defined as a force, it can also be written as
w=mg
= F= mg
where m= mass of the object in kg given as 100Kg
an g is the gravitational acceleration in m/s^2 = g is 9.8 m/s2
F= mg
F = 100 kg x 9.8 m/s2
F== 980Kgm/s^2 = 980N
Therefore the weight of the box is 980N
You are in a car traveling at 20 m/s. An ambulance is behind you traveling 35 m/s in the same direction. What frequency do you hear if the siren has a frequency of 550 Hz?
Answer:
The frequency heard is 576.78 Hz
Explanation:
The Doppler effect is defined as the apparent frequency change of a wave produced by the relative movement of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
This is what happens in the first part of this problem, where the sender is train A and the receiver is train B. They are both moving in opposite directions. In this case, where both are in motion, the frequency perceived by the receiver will increase when receiver and transmitter increase their separation distance and will decrease whenever the separation distance between them is reduced. The following expression is considered the general case of the Doppler effect:
\(f'=f*\frac{v+-vR}{v+-vE}\)
Where:
f ', f: Frequency perceived by the receiver and frequency emitted by the issuer respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s-1)
v: Velocity of propagation of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 343 m / s
vR, vE: Speed of the receiver and the emitter respectively. Its unit of measure in the S.I. is the m / s
±, ∓:
We will use the + sign:
In the numerator if the receiver approaches the emitter In the denominator if the emitter moves away from the receiverWe will use the sign -:
In the numerator if the receiver moves away from the emitter In the denominator if the emitter approaches the receiverIn this case you are in a car traveling at 20 m/s and an ambulance is behind you traveling 35 m/s in the same direction.
In this case the receiver, you in the car, moves away from the emitter, while the emitter, the ambulance, approaches the receiver behind you in the same direction. So the frequency is calculated by the expression:
\(f'=f*\frac{v-vR}{v-vE}\)
Being:
f= 550 Hzv=343 m/svR= 20 m/svE= 35 m/sand replacing:
\(f'=550 Hz*\frac{343 m/s-20 m/s}{343 m/s-35 m/s}\)
you get:
f'= 576.78 Hz
The frequency heard is 576.78 Hz
a (fill the blank) is a detailed version of a new product idea stated in a way that consumers find meaningful; a is the way consumers perceive the actual or potential product.
A product concept is a detailed version of a new product idea stated in a way that consumers find meaningful; a is the way consumers perceive the actual or potential product.
A product may be described as- “an amazing, idea, approach, records, item, or carrier this is the quit end result of a procedure and serves as a want or want satisfier. it also includes a package deal of tangible and intangible attributes (benefits, functions, functions, makes use of) that a vendor offers to a consumer for buy.”
A purchaser is a person or a set who intends to reserve, or uses purchased goods, merchandise, or offerings normally for private, social, own family, family and comparable wishes, who isn't always without delay related to entrepreneurial or business sports. The time period maximum generally refers to someone who purchases items and offerings for non-public use.
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consider a steam engine whose working fluid always stays within the quality range of 0.0 to 1.0. the system operates between the pressure limits of 6.8 mpa and 1.21 mpa. if heat is supplied to the engine at a rate of 250 kw, what is the maximum power that could be produced by the engine?
The maximum power that could be produced by the steam engine is approximately 88.2 kW. The maximum power that could be produced by the steam engine can be calculated using the thermodynamic equation for the efficiency of a Carnot cycle, which is given by:
η = (T₁ - T₂) / T₁
where η is the efficiency, T₁ is the temperature of the heat source, and T₂ is the temperature of the heat sink. In this case, the heat source temperature is unknown, but we can find it using the saturation temperature at the pressure of 6.8 MPa, which is approximately 364°C. Similarly, the temperature at the heat sink pressure of 1.21 MPa is approximately 191°C.
Using the efficiency equation and the given heat input rate of 250 kW, we can calculate the maximum power output of the steam engine as:
P max = η * Qin
where P max is the maximum power output and Qin is the heat input rate. Plugging in the values, we get:
P max = η * 250 kW = (364 - 191) / 364 * 250 kW ≈ 88.2 kW
Therefore, the maximum power that could be produced by the steam engine is approximately 88.2 kW.
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Label the diagram with the appropriate descriptions light brainpop
1) Note that the Roof is dark colored. Given the laws of physics, it will absorb all light.
2) the window is transparent, hence, it will transmit ALL light.
3) the door is dark-colored but has some glass on it. Thus, it will absorb MOST but not all light.
4) the side of the building which is painted white will reflect all light.
Why do dark surfaces absorb light?Note that dark surfaces absorb light because they are able to absorb photons, or particles of light, and convert them into other forms of energy.
This is because the atoms and molecules in dark surfaces have a large number of unpaired electrons that are able to absorb the energy of photons and transition to a higher energy state.
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Which equation below is correctly balanced?
A 2Na + O2 ---> 2Na2O
B Sn + 2KOH ---> K2SnO2 + 2H2
C AsCl3 + 3H2O ---> 3HCl + As(OH)3
D H2 + O2 ---> H2O
Answer:
D H2 + O2 ---> H2O
Explanation:
Answer:
I am not sure what the answer is but keep reading.
Explanation:
The answer is not D or A for sure
how much pressure does the atmosphere exert on a gauge line under a deep vacuum
In a deep vacuum, the pressure exerted by the atmosphere on a gauge line is negligible or close to zero. A vacuum is defined as a region with a low gas pressure, typically much lower than atmospheric pressure.
In a deep vacuum, the pressure is significantly lower compared to atmospheric pressure. The atmosphere exerts pressure on objects due to the weight of the air above them. However, in a deep vacuum where air or any other gas is absent, there is no medium to exert pressure on the gauge line.
A vacuum is defined as a region with a low gas pressure, typically much lower than atmospheric pressure. In a deep vacuum, the pressure is close to zero or negligible. This means that the atmosphere does not exert any significant pressure on a gauge line placed in a deep vacuum.
It is important to note that the absence of pressure in a deep vacuum does not mean the absence of other effects, such as radiation pressure or gravitational forces, which may still be present depending on the specific conditions. However, in terms of atmospheric pressure, it is essentially nonexistent in a deep vacuum.
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Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.
An object's mass, rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force due to an existing field (In most cases, gravitational field) that is experienced by the body. The weight of the same body can be different in different environments it's observed.
However, the mass of the body is the exact measure of the amount of matter contained in a body. Which is constant, regardless of the environment, or conditions the body is observed.
Hence, for real-world calculations and experimentation, the mass of the body is considered to represent the amount of matter it contains rather than its weight.
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what best describes a reference fram?
Answer:
A reference frame is that frame to which the qualities of an object are related:
For instance - an object may described by - mass, speed, acceleration, size, etc,
It is important to remember that Newton's Laws of motion do not hold in accelerated reference frames -
Einstein's laws of special relativity are only true in frames that move with contant speed to one another
There is a gravitational force between the Moon and the Earth, that tries to pull the Moon toward the latter. This constant tug on the Moon as it moves around the Earth is called a "centripetal" force. This force is balanced by the "centrifugal" force, that pulls on the Earth and keeps the moon in motion. -The moon orbits Earth. When it orbits, it travels in a circle around Earth. There is a force between Earth and the moon called gravity. Because of gravity, larger objects pull smaller ones toward them. Earth is larger than the moon, so Earth pulls on the moon. At the same time, Earth is being pulled by the sun. The sun is larger than Earth. The balance between those two "pulls" is what keeps the moon in orbit around Earth.
There is a gravitational force between the Moon and the Earth, that tries to pull the Moon toward the latter. This constant tug on the Moon as it moves around the Earth is called a "centripetal" force.
gravitational force:
This force is balanced by the "centrifugal" force, that pulls on the Earth and keeps the moon in motion. The Moon orbits Earth, and it travels in a circle around it. There is a force between Earth and the Moon called gravity. Gravity causes larger objects to pull smaller ones towards them. Earth is larger than the Moon, which is why it pulls on the Moon. At the same time, the Sun is pulling on Earth. The Sun is larger than Earth. The balance between these two pulls is what keeps the Moon in orbit around Earth. As the Moon orbits the Earth, it experiences a gravitational force. This force acts as a centripetal force, keeping the Moon in its circular path. If this force were to disappear, the Moon would travel in a straight line, moving away from Earth. At the same time, Earth is being pulled by the Sun, which is why it experiences a centrifugal force. The balance between these two forces keeps the Moon in orbit around Earth.
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Which of the following has the longest wave length and the lowest frequency
A.infrared waves
B.radio waves
C.x-ray waves
D.microwaves
Answer:
B. radio waves
Explanation:
Trust me It's correct
c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?
According to the data given in the question the net force on the box is of 5 N.
What does net force mean?All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.
Given data :
Force on box to the left side (F1) = 15 N
Force on box to the right side (F2) = 20 N
Because both forces are in opposite direction
Hence,
Net force = F2 - F1
Net force = 20 - 15
Net force = 5 N.
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How do you find the velocity of a moving car?
Answer:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
Explanation:
hope this helps a little bit sorry if i got it wrong
A 150 kg car hits a wall with 45 N of force, what was its acceleration?
Answer:
a = 0.3 m/s²
Explanation:
Given: 45 N, 150 kg
To find: a
Formula: \(a = \frac{F}{m}\)
Solution: To find a, divide the force by the weight
A = F ÷ m
= 45 ÷ 150
= 0.3 m/s²
Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.
3Ω 6 V Fig. 4.31 4 Ω 592 r = 0.5 Ω ) The diagram above (fig. 4.31) shows a 6 V battery of internal resistance 0.5 ohm connected to three resistors of values 3 ohm, 4 ohm, and 5 ohm as shown. Calculate the current in each resistor, the p.d. across the 3 ohm resistor, and across the parallel resistors.
Explanation:
I am going to sign off....here is a possible scenario:
Current thru 3 ohm = 1.05 Amp V3 = 3.15 V Current through 4 ohm = .58 A through 5 ohm = .464 A (voltage across these two resistors is 2.32 v )
John added 150 grams of salt to 2.5 liters of water. what is the concentration of the salt solutions
Two weights are attached by a rope and suspended from pulleys. The weights differ in two cases, but the systems are at rest in both cases.
As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.
define pulleys ?
A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. When a pulley is supported by a frame or shell and is used to guide a cable or apply force rather than transmit power to a shaft, the supporting shell is referred to as a block and the pulley may be referred to as a sheave.
For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the driving component of a pulley system.
As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.
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400 N of load can be overcome by an effort of 50 N by using a lever. Calculate the mechanical advantage of the lever.
Answer:
load (l)=400N
Effort(E)=50N
mechanical advantage (MA)= load ÷Effort
(ma)=400÷50
(ma)=8
Explanation:
I copy pasted from the answer from the same question. Remember to first check if ur question is there
A cement block accidentally falls from rest from the ledge of a 55.9-m-high building. When the block is 11.2 m above the ground, a man, 1.70 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way?
Answer:
0.3 seconds approximately
Explanation:
Given that the height of the building is 55.9 m and cement block accidentally falls from rest from the edge of a 55.9-m-high building. The initial velocity of the block will be equal to zero. The final velocity will be achieved by using the formula:
V^2 = U^2 + 2gH
Where g = 9.8 m/s^2
H = 55.9m
V^2 = 0 + 2 × 9.8 × 55.9
V^2 = 1095.64
V = sqrt(1095.64)
V = 33.1 m/s
The velocity When the block is 11.2 m above the ground will be 33.1 m/s and the height h = 11.2 - 1.7 = 9.5 m
The time of escape can be calculated by using the formula;
h = Ut + 1/2gt^2
9.5 = 33.1t + 1/2 × 9.8 × t^2
9.5 = 33.1t + 4.9t^2
4.9t^2 + 33.1t - 9.5
By using quadratic formula to calculate the time, the negative value is ignored and the positive values will be the time the man has to get out of the way.
Please find the attached file for the remaining solution.
What is the density of a billiard ball that has a volume of 100 cm3 and a mass of 250 g?
Answer:
The answer is 2.50 g/cm³Explanation:
The density of a substance can be found by using the formula
\(density = \frac{mass}{volume} \\\)
From the question
mass = 250 g
volume = 100 cm³
So we have
\(density = \frac{250}{100} = \frac{5}{2} \\ \)
We have the final answer as
2.50 g/cm³Hope this helps you
A 59.0 kg cheetah accelerates from rest to its top speed of 31.1 m/s (a) How much net work (in J) is required for the Cheetah to reach its top speed?...............J (b) One food Claorie equals 4186 J. How many Calories of net work are required for the Cheetah to reach its top speed? .................Cal
The number of Calories of net work required for the cheetah to reach its top speed is 85.6 Cal.
W = Fd
Where W is the work done,
F is the force applied, and d is the displacement.
The force F applied is the net force acting on the cheetah, which is the difference between the force of friction and the force of the cheetah's muscles.
Therefore,F = maWhere m is the mass of the cheetah and a is its acceleration.
The displacement d can be calculated using the formula;
d = v²/2aWhere v is the final velocity and a is the acceleration.
Substituting the given values in the above equations,
F = ma
F = 59.0 kg × (31.1 m/s) / 2.50 sF = 731.32 NN = Fnet
work = Fdnet
work = 731.32 N × 490.01 mdnet work = 358,608.13 J
Therefore, the net work required for the cheetah to reach its top speed is 358,608.13 J.(
b) One food Calorie equals 4186 J.
Therefore, to find the number of Calories of net work required for the cheetah to reach its top speed, we can divide the net work by the energy equivalent of one food Calorie.
Thus,net work in Calories = net work in joules / 4186net work in Calories = 358,608.13 J / 4186
net work in Calories = 85.6 Cal
Therefore, the number of Calories of net work required for the cheetah to reach its top speed is 85.6 Cal.
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________ is the distance between one point on a wave and the nearest point just like it.
O Amplitude
O Crest Frequency
O Wavelength
Answer: wavelength
Explanation:
I NEED HELP I AM SO CONFUSED, WILL GIVE BRAIN.
1. What is the acceleration of a spaceship that can accelerate from 10,000 m/s to 17,500 m/s in 20 seconds?
2. How long does it take the principal to run to our classroom, if the distance is 125 meters, and he accelerates, from rest, at a rate of 4 m/s^2?
3. A pen falls off my desk. It took 1.5 seconds to fall. What was the velocity of the pen just before it hit the ground?
4. You are standing at the edge of a cliff that is 40m tall. You throw an apple down with a speed of 15 m/s. How long does it take to fall to the bottom of the cliff?
5. A stone is dropped from the roof of a building. It took 5 s for the stone to reach the ground. What is the height of the building?
6. A man is on a 30m cliff and throws a ball down with a speed of 7 m/s.
A) With what velocity does the ball hit the ground? B) How high above the ground is the ball after the ball has fallen for 1 second?
7. A watermelon is dropped from rest from the top of a 20m cliff. A) How long does the watermelon be in the air?
B) What was the watermelon’s final velocity?
The kinematic relations allow finding the results for the different questions are:
1. The acceleraations is a = 375 m/s²
2. The time is t = 62.5 s
3. The velocity at the ground is v = -14.7 m / s
4. The time to the bottoncliff is 1.7 s
5. The height isy₀ = 122.5 m
6.
A) The velocity is v = 25.2 m / s
B) The height for t=1 s is y = 18.1 m
7.
A) Time in the air is t = 2 s
B) The final veloicty is v = - 19.6 m / s
Kinematics analyzes the movement of bodies, finding relationships between the position, velocity and acceleration of bodies.
Let's look for the answers to a series of questions:
1. They indicate the initial and final velocities of the body and the time to reach it is 20 s, ask how much the acceleration is worth
Let's use the relationship
v = v₀ + a t
a = \(\frac{v-v_o}{t}\)
a = \(\frac{17500-10000}{20}\)
a = 375 m/s²
2. What is the time it takes to travel a distance of 125 m with an acceleration of 4 m / s²
x = v₀ t + ½ a t²
As it leaves the direction its initial velocity is zero
x = ½ to t²
t = \(\sqrt{\frac{2x}{a} }\)
t = \(\sqrt{\frac{2 \ 125}{4} }\)
t = 62.5 s
3. A pencil falls from a height and reaches the floor in a time of 1.5 s what is the speed when reaching the floor
v = v₀ - g t
As it is released its initial velocity is zero
v = -g t
v = - 9.8 1.5
v = -14.7 m / s
The negative sign indicates that the velocity is directed downwards.
4. From the edge of a cliff 40 m high, an apple is thrown downward with an initial velocity of 15 m / s. How long does it take to get to the bottom?
y = y₀ + v₀ t - ½ g t²
In this case the initial velocity is negative because it is directed downwards and when it reaches the floor its height is zero, let us substitute
Suppose the acceleration is g = 10 m / s²
0 = 40 - 15 t - ½ 10 t²
0 = 40 - 15 t - 5 t²
let's solve the quadratic equation
t² + 3 t - 8 = 0
t = -3 + Ts 9 + 4 8/2
t = -3 + 6. 4/2
t₁ = - 4.9 s
t₂ = 1.7 s
The time must be a positive quantity, so the correct answer is 1.7 s
5. A stone is dropped from the ceiling and it takes a time 5 s to reach the floor, which is the height of the ceiling
y = y₀ +v₀ t - ½ g t²
as it is released from the ceiling its initial velocity is zero and the height upon reaching the floor is zero
0 = y₀ + 0 - ½ g t²
y₀ = ½ g t²
y₀ = ½ 9.8 5²
y₀ = 122.5 m
6. A man at a height of 30 m throws a ball downward at 7 m / s
A) The speed when reaching the ground
B) The height of the ball when a time of 1 s has fallen.
A) Let's use the kinematics relation
v² = v₀² - 2 g (y -y₀)
v = 7² - 2 9.8 (0 -30)
v = 25.2 m / s
B) y = y₀ + v₀ t - ½ g t²
y = 30 7 1 - ½ 9.8 1²
y = 18.1 m
7. A watermelon is dropped from rest from the top of a 20m cliff.
A) time in the air
B) ground speed
A) Let's use the relation
y = y₀ + v₀ t - ½ g t²
It is released its initial velocity is zero and when it reaches the ground its height is zero (y = 0)
0 = y₀ + 0 - ½ g t²
t = \(\sqrt{\frac{2y_o}{g} }\)
t = \(\sqrt{\frac{2 \ 20}{9.8} }\)
t = 2 s
B) the speed when reaching the ground
v = v₀ - g t
v = 0 - 9.8 2
v = - 19.6 m / s
The negative sign indicates that the speed is down
In conclusion using the kinematic relations we can find the results for the different questions are:
1. The acceleraations is a = 375 m/s²
2. The time is t = 62.5 s
3. The velocity at the ground is v = -14.7 m / s
4. The time to the bottoncliff is 1.7 s
5. The height isy₀ = 122.5 m
6.
A) The velocity is v = 25.2 m / s
B) The height for t=1 s is y = 18.1 m
7)
A) Time in the air is t = 2 s
B) Te final veloicty is v = - 19.6 m / s
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Diagram A shows two laser beams, one blue and one red, that are incident on a mirrored surface. Diagram B shows two laser beams, one blue and one red, that are incident on a transparent block of glass.
Which statement about the situation shown in these diagrams is CORRECT when light is refracted through the glass and reflected from the mirror?
A
The blue and red laser beams reflect at different angles, and they refract at different angles.
B
The blue and red laser beams reflect at the same angle, and they refract at the same angle.
C
The blue and red laser beams reflect at different angles, and they refract at the same angle.
D
The blue and red laser beams reflect at the same angle, and they refract at different angles.
Diagram A shows two laser beams, one blue and one red, that are incident on a mirrored surface. Diagram B shows two laser beams, one blue and one red, that are incident on a transparent block of glass then The blue and red laser beams reflect at the same angle, and they refract at different angles.
A laser emits a very focused beam of light that can be used in a variety of equipment and technologies. Light Amplification by Stimulated Emission of Radiation is what the letters in the term laser stand for. The word "laser" is an acronym for "Light Amplification by Stimulated Emission of Radiation." In a laser beam, the light waves are "coherent," which means they are all traveling at the same speed and wavelength. To do this, excited electrons are passed through an optical "gain medium," which could be a solid substance like glass or a gas.
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a 210 g apple is falling from a tree what is the impulse that earth exerts on it during the first 0.50
The impulse that Earth exerts on a 210 g apple that is falling from a tree during the first 0.50 seconds can be calculated using the formula for impulse.
Impulse is defined as the change in momentum of an object, and is given by the equation:
J = Δp
where,
J is the impulse.
Δp is the change in momentum.
To calculate the impulse that Earth exerts on the apple, we need to know the initial momentum and the final momentum of the apple during the first 0.50 seconds.
Since the apple is falling freely, its initial momentum is zero (because it is at rest), and its final momentum can be calculated using the formula:
p = mv
where,
p is the momentum.
m is the mass.
v is the velocity.
Since the apple is falling freely, we can use the equation for free fall to find the velocity:
v = gt
where g is the acceleration due to gravity, and t is the time.
At the end of 0.50 seconds, the velocity of the apple can be calculated as: v = gt = (9.8 m/s²)(0.50 s) = 4.9 m/s.
Therefore, the final momentum of the apple can be calculated as:
p = mv = (0.210 kg)(4.9 m/s) = 1.029 kg m/s.
The change in momentum (Δp) during the first 0.50 seconds is simply the final momentum, since the initial momentum is zero.
Therefore, the impulse that Earth exerts on the apple during the first 0.50 seconds is given by:J = Δp = 1.029 kg m/s
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The Keck Telescope has a diameterof 10.0 m. When it is looking atMars, 7.38 1010 m from us, how farapart are the closest objects it couldpossibly resolve? Assume the lighthas wavelength 633 nm.[?] m
Given:
Diameter, D = 10.0 m
Distance, x = 7.38 x 10¹⁰ m
Wavelength, λ = 633 nm
Let's find how far apart the closest objects it could possibly resolve.
First, apply the formula for the angle for angle separation (limit of resolution):
\(\theta=\frac{1.22\lambda}{D}\)Thus, we have:
\(\begin{gathered} \theta=\frac{1.22*633\times10^{-9}}{10.0} \\ \\ \theta=\frac{7.7226\operatorname{\times}10^{-7}}{10.0} \\ \\ \theta=7.7226\operatorname{\times}10^{-8}\text{ rad} \end{gathered}\)Now, to find the distance of the closest objects, we have:
\(d=\theta *x\)Thus, we have:
\(\begin{gathered} d=7.7226\times10^{-8}*7.38\times10^{10} \\ \\ d=5699.28\text{ m} \end{gathered}\)Therefore, the distance of the closest objects is 5699.28 meters.
• ANSWER:
5699.28 m
problem 1(electric flux from symmetry):letsbe the surface of a cube of side-lengtha.(a)a point chargeqis located at the center ofs. use symmetry to calculate the electric flux throughthe top face ofs.(b)a point chargeqis located at one of the corners ofs. use symmetry to calculate the electric fluxthrough one of the three faces ofsnot touchingq.hint: imagine surroundingqwith seven additional cubes. how many of the faces of the (now eight)cubes give non-zero, equivalent electric flux?
The electric flux through the top face of the cube, with a point charge q at the center of the cube, can be calculated using symmetry.
Due to the symmetry of the cube, the electric field lines passing through the cube's top face will be parallel to that face. Therefore, the electric flux through the top face will be zero.When a point charge q is located at one of the corners of the cube, we can use symmetry to determine the electric flux through one of the three faces not touching the charge. By imagining surrounding the charge with seven additional cubes, each cube will contribute to the electric flux through the face.
Since each cube has six faces, there will be a total of 6 * 8 = 48 faces. However, not all of these faces will give a non-zero, equivalent electric flux. Only the faces that are perpendicular to the electric field lines will contribute to the flux.
Since the electric field lines will pass through the center of each cube face, there will be a total of 6 non-zero, equivalent electric fluxes through the faces of the eight cubes surrounding the charge.
(a) In the case where a point charge q is located at the center of the cube, the electric field lines will be radially symmetric, pointing outward in all directions. Due to the symmetry of the cube, the electric field lines passing through the top face of the cube will be parallel to that face.
Since the electric flux is defined as the dot product of the electric field and the surface area vector, and the angle between them is 0 degrees, the dot product becomes zero, resulting in zero electric flux through the top face.
(b) When the point charge q is located at one of the corners of the cube, we can imagine surrounding the charge with seven additional cubes. This forms a larger cube with the charge at one of its corners. Each cube contributes to the electric flux through its faces. Since each cube has six faces, there will be a total of 6 * 8 = 48 faces in the configuration of the eight cubes.
However, not all of these faces will contribute to a non-zero, equivalent electric flux. Only the faces that are perpendicular to the electric field lines will have a non-zero flux. Considering the symmetry of the arrangement, the electric field lines will pass through the center of each cube face, making them perpendicular to the faces. Thus, there will be six non-zero, equivalent electric fluxes through the faces of the eight cubes surrounding the charge.
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A motorcycle enters a freeway with a speed of 5.8 m/s and accelerates uniformly for 65 m in 7.2 s.
How fast is the car moving after this time?
The speed of the motorcycle is 9.02777m/s in 7.2 sec.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
v(0) = 5.8
s(0)=0
s(7.2) = 65
s(t) =at^2/2 + v(0)t
s(7.2) = a(7.2)^2 + 5.8(7.2) = 65
a = (65-41.76)/51.84
a= 23.24/51.84 = about 0.4483 m/s²
v(t) = s'(t) = at +v(0) = at +5.8
v(7.2) = 0.4483(7.2) + 5.8
= 9.02777
velocity in 7.2 seconds is about 9.03 meters per second
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when a mass m hangs from a vertical wire of length l, waves travel on this wire with a speed v.A. what will be the speed of these waves if we triple M without stretching the wire?
B. what will be the speed of these waves if we replace the wire with an identical one, except twice as long?
C. What will be the speed of these waves if we replace the wire with one of the same length, but two times as heavy
D. what will be the speed of these waves if we stretch the wire to thrice its original length
E. What will be the speed of these waves (in terms of V) if we increase M by a factor of 18.0, which stretches the wire to double its origina length?
A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.
B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.
C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.
D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.
E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.
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.Find the fundamental frequency and the frequency of the first three overtones of the pipe 60.0cm long, if the pipe is open at both ends.
Ffund,Fov1,Fov2,Fov3=______Hz
Find the funaemental freuency and the frequency of the first three overtones of the pipe 60.0cm long, if the pipe is closed at one end.
Ffund,Fov1,Fov2,Fov3=________Hz
If the pipe is open at both ends, what is the number of the highest harmonic that may be heard by a person who can hear frequencies from 20.0Hz to 2.00x10^4Hz?
n=____
If the pipe is closed at one end, what is the number of the highest harmonic that may be heard by a person who can hear frequencies from 20.0Hz to 2.00x10^4Hz?
n=____
For a pipe 60.0 cm long, open at both ends: Fₐₒᵥ₁ = 282.8 Hz, Fₐₒᵥ₂ = 848.4 Hz, Fₐₒᵥ₃ = 1414 Hz. For a pipe closed at one end: Fᶜₗₒ₁ = 94.3 Hz, Fᶜₗₒ₂ = 282.8 Hz, Fᶜₗₒ₃ = 471.4 Hz.
Determine what are the fundamental frequency?Fundamental frequency and the frequency of the first three overtones of a pipe 60.0 cm long, open at both ends:
Fₐₒᵥ₁, Fₐₒᵥ₂, Fₐₒᵥ₃ = 282.8 Hz, 848.4 Hz, 1414 Hz
Fundamental frequency and the frequency of the first three overtones of a pipe 60.0 cm long, closed at one end:
Fᶜₗₒ₁, Fᶜₗₒ₂, Fᶜₗₒ₃ = 94.3 Hz, 282.8 Hz, 471.4 Hz
Number of the highest harmonic that may be heard by a person who can hear frequencies from 20.0 Hz to 2.00x10⁴ Hz in a pipe open at both ends:
n = 99
Number of the highest harmonic that may be heard by a person who can hear frequencies from 20.0 Hz to 2.00x10⁴ Hz in a pipe closed at one end:
n = 198
For a pipe open at both ends, the fundamental frequency (Fₐₒᵥ₁) can be calculated using the formula Fₐₒᵥ₁ = v / 2L, where v is the speed of sound and L is the length of the pipe. In this case, the length of the pipe is 60.0 cm (or 0.60 m).
Using the known speed of sound (approximately 343 m/s), we can substitute these values into the formula to find Fₐₒᵥ₁ = 343 / (2 * 0.60) = 282.8 Hz.
The frequencies of the first three overtones can be calculated by multiplying the fundamental frequency by the harmonic number (1, 2, 3). Therefore, Fₐₒᵥ₂ = 2 * Fₐₒᵥ₁ = 2 * 282.8 Hz = 565.6 Hz, and Fₐₒᵥ₃ = 3 * Fₐₒᵥ₁ = 3 * 282.8 Hz = 848.4 Hz.
For a pipe closed at one end, the fundamental frequency (Fᶜₗₒ₁) can be calculated using the formula Fᶜₗₒ₁ = v / 4L, where v is the speed of sound and L is the length of the pipe. Substituting the values, we find Fᶜₗₒ₁ = 343 / (4 * 0.60) = 94.3 Hz.
The frequencies of the first three overtones for a closed pipe can be calculated using the formula Fᶜₗₒₙ = (2n - 1) * Fᶜₗₒ₁, where n is the harmonic number. Thus, Fᶜₗₒ₂ = (2 * 2 - 1) * Fᶜₗₒ₁ = 3 * 94.3 Hz = 282.8 Hz, and Fᶜₗₒ₃ = (2 * 3 - 1) * Fᶜₗₒ₁ = 5 * 94.3 Hz = 471.4 Hz.
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In projectile mtion, what is the x-component of the initial velocity? if V= Vi = 100 m/s and the angle with horizontal axis Θ = 60 degrees
Answer:
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Explanation:
The x - component of the initial velocity is given as:
Ux = Vi cos theta
Ux = 100cos 60
Ux = 50m/s