*Physical Science* *E2020* *Unit Test*
Four students were loading boxes of food collected during a food drive. The force that each student exerted while lifting and the distance each box was lifted are listed in the table.
| Student | Force(N) | Distance(m) |
|-------------------|--------------------------|--------------------------|
| Chet | 50 | 1.0 |
|-------------------|--------------------------|--------------------------|
| Mika | 40 | 2.0 |
|-------------------|--------------------------|--------------------------|
| Sara | 30 | 1.5 |
|-------------------|--------------------------|--------------------------|
| Bill | 60 | 0.5 |
|__________|______________|_____________ |
Which lists the students in order from the greatest amount of work done to the least? (Work: W = Fd)
A. Bill, Sara, Chet, Mika
B. Mika, Chet, Sara, Bill
C. Bill, Chet, Mika, Sara
D. Mika, Sara, Chet, Bill
i think its b
hope this helps
Answer:The correct answer is option B.
Explanation:
Work done is defined product of force applied on an object and the displacement of an object on applying of force.It is measured in Joules.
[tex]W=Force\times Displacement[/tex]
1. Chet
Work done = [tex]50 N\times 1.0 m= 50.0 Joules[/tex]
2. Mika
Work done = [tex]40 N\times 2.0 m= 80.0 Joules[/tex]
3. Sara
Work done = [tex]30 N\times 1.5 m= 45.0 Joules[/tex]
4.Bill
Work done = [tex]60 N\times 0.5 m= 30.0 Joules[/tex]
The greatest work was done by Mika and least work was done by BIll. The order from the greatest amount of work done to the least.
Mika>Chet>Sara>Bill.
Hence ,the correct answer is option B.
Newton's 3rd law of motion states that "every action has an equal and opposite reaction." A golf ball was hit with force of 200 N forward. Explain how this relates to Newton's 3rd law of motion.
newtons 3rd law of motion states that "every action has an equal and oppisite reaction" A golf ball was hit with a force of 200 N forward. Explain how this relates to Newton’s 3rd law of motion.
Which property will eventually be the same for two objects after thermal energy is transferred btween them
Answer:
Temperature
Explanation:
Temperature is an average measure of the kinetic energy of the object's molecules. This measure will eventually become same for two objects in a thermal contact allowing for thermal energy transfer.
When density increases, what happens to the number of molecules in a volume of air?
When density increases the number of molecules stay the same, im not entirely sure but i hope its right.
The main goal of science is to A. Learn how to use the laws of nature to benefit humans. B. Learn about the universe and the laws of nature. C. Replace old theories with new, more interesting theories. D. Develop new inventions and processes.
The main goal of science is to learn about the universe and the laws of nature. (B)
The goal of Applied Science, Technology, and Engineering is to develop new inventions and processes (D), that can use the laws of nature to benefit humans. (A)
Answer:
C
Explanation:
The specific heat of copper is 0.385 J/g·°C. What equation would you use to calculate the amount of heat needed to raise the temperature of 0.90 g of copper from 9°C to 26°C?
To determine the amount of heat energy (Q) needed to raise the temperature of 0.90 g of copper from 9°C to 26°C, you would use the formula:
Q = mcΔT
Where:
So, Q = (0.90 g)(0.385 J/g°C)(26°C - 9°C)
By calculating the change in temperature (26°C - 9°C = 17°C) and plugging in the values, we get:
Q = (0.90)(0.385)(17)
Q = 5.8725 J
Therefore, it would take 5.8725 J of heat to raise the temperature of 0.90 g of copper from 9°C to 26°C.
Constructive interference occurs when the crests of one wave overlap the crests of another wave. What is the result of constructive interference? A. decreased frequency B. increased frequency C. decreased amplitude D. increased amplitude
Answer:
D.
hope this helps
Which of the following describes an object in static equilibrium?
A.A platypus lies motionless on the sand.
B.A tuna speeds up from 2 m/s to 3 m/s
C.A dolphin jumps out of the water
D.A zebra shark swims at a constant speed of 8 m/s
Answer:
Option A is the correct answer.
Explanation:
Static equilibrium means an object object is at rest and is in a state of equilibrium.
If we examine options B, C and D we can see that, in each case object is in a state of motion.
B) Tuna is in a motion.
C) Dolphin is a motion.
D) Zebra is a motion
In option A platypus lies motionless on the sand, which is an example of static equilibrium.
so, option A is the correct answer.
A train is approaching a signal tower at a speed of 40m/s. The train engineer sounds the 1000-Hz whistle, while a switchman in the tower responds by sounding 1200-Hz siren. THe air still and the speed is 340m/s. What is the frequency of the train whistle tone that is heard by the switchman?
300/340x1000Hz
380/340x1000Hz
340/300x1000Hz
1000Hz
340/380x1000Hz
v = speed of the source of sound or the train towards the listener or switchman = 40 m/s
V = actual speed of sound = 340 m/s
f = actual frequency of sound as emitted from source or the train = 1000 Hz
f' = frequency as observed by the listener or by switchman = ?
Using Doppler's law , frequency observed by a listener from a source moving towards it is given as
f' = V f /(V - v)
inserting the values
f' = 340 x 1000 /(340 - 40)
f' = 340 x 1000/300
The frequency of the train whistle heard by the switchman, calculated using the Doppler effect, is 380/300 x 1000 Hz.
Explanation:To determine the frequency of the train whistle heard by the switchman, we use the Doppler effect formula for sound moving towards a stationary observer. Since the speed of the train is less than the speed of sound, the formula to calculate the frequency received (f') is given by f' = f ((v + v0)/(v - vs)), where f is the source frequency, v is the speed of sound, v0 is the velocity of the observer (0 m/s since the observer is stationary), and vs is the velocity of the source. Plugging in the given values, we get:
f' = 1000 Hz ((340 m/s + 0 m/s) / (340 m/s - 40 m/s)) = 1000 Hz (380 m/s / 300 m/s) = 380/300 x 1000 Hz
So, the correct frequency of the train whistle tone heard by the switchman is 380/300 x 1000 Hz.
Special relativity cannot be used to study an object in which frame of reference
Special relativity can be used to study an object in which frame of reference ... C. A frame of reference that has a constant, positive acceleration.
The question is incomplete. The complete question is:
Special relativity cannot be used to study an object in which frame of reference?
A. A frame of reference that has no change in velocity
B. A frame of reference that is moving in a circle
C. A frame of reference that has a constant, positive acceleration
D. A frame of reference that has a constant, negative acceleration
Answer:
A frame of reference that has a constant, positive acceleration
A frame of reference that has a constant, negative acceleration
Explanation:
Special relativity applies to frames of reference in which an object is moving at constant velocity.
If the velocity is constant, it implies that acceleration will be zero hence options C and D will be correct since they both involve a non-zero change in velocity.
PLEASE HELP!!
Describe how standing waves are created when you have a rope attached to a point on a wall.
Answer
standing waves are created when you have a rope attached to a point By moving your hand up and down we can create waves, and as we know that our rope is attached to a point on a wall, which means it has boundary. The waves will reflect back and interface with new waves and this is how standing waves are created.
hope this will help.
Answer:
Please see the explanation
Explanation:
As we know that standing waves have nodes and anti nodes which is produced by repeated interference of two waves of same frequency in opposite direction in the same medium. In this case when we have a rope attached to a point on a wall, we move the rope in up and down direction we will create waves.
The wave will go up to the wall and then reflect back and thus create an opposite wave. And as we can create a standing wave.
Gino made a table to describe parts of the electromagnetic spectrum.
What mistake did Gino make?
X-rays should have a low frequency and a long wavelength.
Infrared light should have a high frequency, not a low frequency.
Radio waves should have a very high frequency and a very short wavelength.
Ultraviolet light should have a short wavelength, not a long wavelength.
Answer: Ultraviolet light should have a short wavelength, not a long wavelength.
Explanation:
Relation between the frequency and wavelength if given by:
[tex]\nu=\frac{c}{\lambda }[/tex]
[tex]\nu=\text{frequency of electromagnetic wave}[/tex]
[tex]\lambda =\text{wavelength of an electromagnetic wave}[/tex]
[tex]c=\text{speed of light}=3\times 10^{8} m/s[/tex]
From the above relation we can say that frequency and wavelength are inversely related to each other.
[tex]\nu\propto\frac{1}{\lambda }[/tex]
From the Gino's table, the mistake made by her was , instead of writing low wavelength for Ultraviolet rays she wrote long. Since the ultraviolet rays have higher frequency they have low value wavelength.
A ray of light is incident on a plane mirror at an angle of 40 degrees with the mirror surface. What will be the angle of reflection?
a) 40 degrees
b) 50 degrees
c) 90 degrees
d) 150 degrees
b) 50 degrees
incident angle = reflected angle BUT grazing angle is given as 40 so incident angle taken from the normal at right angles to the mirror is 50
a) 40 degrees
When a light wave reflects off a mirror, it must obey the
law of reflection - angle of incidence is equal to angle of reflection.
If the angle of incidence is 40 degrees, the angle of reflection is 40
A player throws a football 50.0 m at 61.0° north of west. what is the westward component of the displacement of the football?
Answer: 24.24 m
Explanation:
A player throws football 50.0 m at 61° North of west. we will write this in terms of horizontal and vertical components.
Horizontal component: 50 cos 61° = 24.24 m which is westwards
Vertical component: 50 sin 61° = 43.73 m which towards North.
Refer to diagram below.
Thus, the westward component of displacement of the football is the horizontal component of the displacement = 24.24 m.
The westward displacement of the football that was thrown by a player 61.0° north of west can be calculated using trigonometry. Specifically, by multiplying the total displacement (50.0 m) with the cosine of the angle (61.0°), resulting in a westward displacement of approximately 25.5 m.
Explanation:The student's question concerns the westward displacement of a football thrown by a player at a direction 61.0° north of west. This displacement is a component of the total displacement of the football. Since the direction is specified relative to west, the western component or the westward displacement can be calculated using basic trigonometry.
In this case, the westward displacement is the adjacent side of the triangle formed with the displacement as hypotenuse and the angle being 61.0°. Hence, the westward component can be calculated using cosine of the angle times the hypotenuse, which is 50.0 m. We can calculate it as follows:
Westward displacement = 50.0 m * cos(61.0°)
Using a calculator, this gives a westward displacement of approximately 25.5 m, after rounding to one decimal place. Thus, the football was displaced approximately 25.5 m to the west.
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Match the vocabulary terms to their definitions. 1. an indication of how close a measurement is to the correct result precision 2. the mass of a substance per unit volume matter 3. a quantity in an experiment that remains unchanged or constant control 4. anything that has mass and occupies space density 5. the degree to which a measurement can be replicated accuracy 6. scale markings that denote equal units of measure gradation
Answers
1. precision
2. density
3. control
4. matter
5. accuracy
6. gradation
Explanation
1. An indication of how close a measurement is to the correct result is called precision.
2. The mass of a substance per unit volume is called density of a substance.
3. A quantity in an experiment that remains unchanged or constant is called a control group.
4. Anything that has mass and occupies space is called matter.
5. The degree to which a measurement can be replicated is called accuracy.
6. Scale markings that denote equal units of measure is called gradation.
The vocabulary terms precision, density, control, matter, accuracy, and gradation match up with the definitions about measurement accuracy, mass per volume, unchanged quantities in experiments, objects with mass and volume, reproducibility of measurements, and scale markings, respectively.
Explanation:The appropriate matches for the given vocabulary terms and their definitions are as follows: 1. Precision matches with 'an indication of how close a measurement is to the correct result', 2. Density corresponds to 'the mass of a substance per unit volume', 3. Control matches with 'a quantity in an experiment that remains unchanged or constant', 4.
Matter matches with 'anything that has mass and occupies space', 5. Accuracy corresponds to 'the degree to which a measurement can be replicated', and 6. Gradation fits with 'scale markings that denote equal units of measure.'
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A horse began running due east and covered 25km in 4.0hr. What is the average velocity of the hourse?
Answer:
The correct answer is 6.25 km per hour due east.
Explanation:
We are given that a horse is running due East and covers a distance of 25 kilometers in a time period of 4 hours and we are supposed to find its velocity.
The formula of velocity is similar to speed which is the ration of distance and time.
Velocity = distance / time
So putting in the given values to find the velocity of the horse:
V = 25 / 4
V = 6.25 km / hour
The curved section of a horizontal highway is a circular unbanked arc of radius 740m. If the coefficient of static friction between this roadway and typical tires is .40, what would be the maximum safe driving speed for this horizontal curved section of highway
The maximum speed at which the car makes the turn without slipping is [tex]\boxed{54\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}}[/tex].
Further Explanation:
Given:
The coefficient of static fiction between the road and tyres is [tex]0.40[/tex].
The radius of curvature of the road is [tex]740\,{\text{m}}[/tex].
Concept:
As the car turn around the curved road, the centripetal force acting on the car should be balanced by the friction force acting on the car to avoid the slipping of the car on the road.
Write the force balancing equation for the forces acting on the car.
[tex]{F_{centripetal}} = {F_{frcition}}[/tex] …… (I)
The centripetal force acting on the car is given by.
[tex]{F_{centripetal}} = \dfrac{{m{v^2}}}{r}[/tex]
Here, [tex]m[/tex] is the mass of the car, [tex]v[/tex] is the velocity of the car and [tex]r[/tex] is the radius of the curvature of path.
The friction force acting on the car is given by.
[tex]{F_{fricton}} = \mu mg[/tex]
Here, [tex]\mu[/tex] is the static friction coefficient and [tex]g[/tex] is the acceleration due to gravity.
Substitute [tex]\dfrac{{m{v^2}}}{r}[/tex] for [tex]{F_{centripetal}}[/tex] and [tex]\mu mg[/tex] for [tex]{F_{friction}}[/tex] in equation (I).
[tex]\begin{aligned}\frac{{m{v^2}}}{r} &= \mu mg\\ v&= \sqrt {\mu rg}\\\end{aligned}[/tex]
Substitute the values in the above expression.
[tex]\begin{aligned}v&= \sqrt {0.40 \times 740 \times 9.8}\\ &= \sqrt {2900.8}\\ &= 53.85\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}\\&\approx 54\,{{\text{m}}\mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}\\\end{aligned}[/tex]
Thus, the maximum speed at which the car makes the turn without slipping is [tex]\boxed{54\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}}[/tex].
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Answer Details:
Grade: High School
Chapter: Circular motion
Subject: Physics
Keywords: Curved section, circular, unbanked road, static friction, maximum safe driving, radius 740m, without slipping, centripetal force, friction force.
Which of the following is true?
a An object moving at constant velocity always has a net force acting on it
b An object moving with constant acceleration always has a net force acting on it
c The mass of an object is related in a linear fashion to the acceleration of the object
d The net force on an object is equal to the mass of the object divided by the acceleration.
Final answer:
The correct answer is option b as it reflects Newton's second law, stating that a constant acceleration implies a net external force. The other options misrepresent the relationship between forces, mass, acceleration, and motion.
Explanation:
The correct statement related to the motion of objects according to Newton's laws is b. An object moving with constant acceleration always has a net force acting on it. This is because Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object. In other words, if there is acceleration, there must be a net force causing it.
Option a is incorrect because if an object moves at a constant velocity, there is no net force acting on it as per Newton's first law of motion. Option c is incorrect as it states a relationship between mass and acceleration that is not linear; instead, mass is inversely proportional to acceleration. Lastly, option d incorrectly describes Newton's second law; the net force on an object is equal to the mass of the object multiplied by the acceleration (Fnet = ma).
Suppose a 48-N sled is resting on packed snow. The coefficient of kinetic friction is 0.10. If a person weighing 660 N sits on the sled, what force is needed to pull the sled across the snow at constant speed?
Assume the snow is uniform, and horizontal.
Given:
coefficient of kinetic friction = 0.10 = muK
weight of sled = 48 N
weight of rider = 660 N
normal force on of sled with rider = 48+660 N = 708 N = N
Force required to maintain a uniform speed
= coefficient of kinetic friction * normal force
= muK * N
= 0.10 * 708 N
=70.8 N
Note: it takes more than 70.8 N to start the sled in motion, because static friction is in general greater than kinetic friction.
Lourdes mixes several ingredients in a bowl, creating a cake batter. She holds the bowl up and turns it upside down, causing the cake batter to slowly fall into a pan. As the cake batter falls into the pan, Lourdes also uses a spatula to scrape the cake batter from the sides of the bowl and into the pan.
What forces are acting on the cake batter as it moves from the bowl to the pan? Be sure to explain whether each force acting on the batter is a contact force or a noncontact force. You should also explain how each force affects the motion of the cake batter.
friction and gravity ....................
The motion of the cake batter from the bowl to the pan is influenced by gravitational force (noncontact), normal force (contact by the spatula), and adhesive force (contact with the bowl). These forces affect how the batter moves and is transferred into the pan.
When Lourdes mixes the cake batter and transfers it from the bowl to the pan, several forces are in play affecting its motion. These include:
Gravitational force: This noncontact force pulls the cake batter downwards into the pan. It is a consistent force acting on all objects on Earth and depends on the mass of the batter.Normal force: As Lourdes uses a spatula to scrape the batter, the spatula exerts a contact force against the sides of the bowl, helping to dislodge the batter and move it towards the pan.Adhesive force: This contact force explains the batter's tendency to stick to the sides of the bowl and the spatula, opposing the motion towards the pan.Each force mentioned influences the flow and transfer of the cake batter, whether it is through contact, like the normal and adhesive forces, or from a distance, such as the gravitational force.
which player is usually the best ball-handler on the court?
A. shooting guard
B. small forward
C. power forward
D. point guard
I think it's D)!!!!!!!!!!
I would think after watching 3 basket ball games the point gaurd.
Some life forms move so slowly that their movement can not be detected by normal observation the best way to determine any movement is by placing a mark at some point, and observing any change in position from it. Why is this true
because the form can be watched over a long time for deviations from the mark.
like fingernails, the grow slowly too. after a time, they get clipped
What should a free-body diagram look like for a skydiver who has opened his parachute and is now slowing down as he falls?
There is an arrow up for air resistance and an arrow down for gravity. The arrow up is longer than the arrow down.
There is only an arrow down for gravity.
There is an arrow up for air resistance and an arrow down for gravity. The arrows are the same length.
There is an arrow up for air resistance and an arrow down for gravity. The arrow up is shorter than the arrow down.
There is an arrow up for air resistance and an arrow down for gravity. The arrow up is longer than the arrow down. Option a
The correct free-body diagram for a skydiver who has opened his parachute and is now slowing down as he falls would include an arrow up for air resistance and an arrow down for gravity.
Since the skydiver is slowing down, this indicates that the force of air resistance (upward force) is greater than the force of gravity (downward force), so the upward arrow should be longer than the downward arrow. This is because the skydiver is decelerating, which means the net force acting on the skydiver is in the upward direction.
When a skydiver has just opened their parachute, we see an increase in air resistance which counteracts the force of gravity. The parachute significantly increases this air resistance, and if the skydiver is slowing down, it is an indication that the air resistance force is, at that moment, greater than the force of gravity. Option a
A good reference point for determining the position of a line or curb in front of you is your __________ .
A person walks one mile every day for exercise, leaving her front porch at 9:00 a.M. And returning to her front porch at 9:25 a.M. What is the total displacement of her daily walk
Final answer:
The total displacement of the person's daily walk, starting and ending at the same front porch, is zero, as displacement considers only the initial and final positions.
Explanation:
The question pertains to the concept of displacement in physics, which is different from distance. Displacement is a vector quantity that only considers the initial and final position of an object, ignoring the path taken. In the case of a person who walks one mile every day for exercise, starting from her front porch at 9:00 AM and returning to the same spot at 9:25 AM, her total displacement is zero. This is because her final position (the front porch) is the same as her initial position, meaning there has been no change in position regardless of the distance walked.
Acceleration of an 82 kg couch that is pushed across the floor with an unbalanced force of 21N
According to Newton's principle two
F=m*a=>a=F/m=21/82=0.25 m/s²
15 POINTS !!!
1. Which of the following statements is correct for the work-kinetic energy theorem?
Wnet= change in potential energy
Wnet= change in kinetic energy
Wnet= change in elastic potential energy
Wnet= change in total energy
2. In which of the following cases is the torque greater? (see attachment)
3.
When a car makes a sharp left turn, what causes the passenger to move toward the right side of the car?
inertia
centripetal force
centrifugal force
centripetal acceleration
4. A 0.5 kg ball rolls down a frictionless inclined plane. The height of the inclined plane is 0.5m. What is the kinetic energy of the ball when it reaches the bottom of the inclined plane?
9.8 J
4.9 J
2.5 J
0.3 J
#1
As per work energy theorem work done by all forces must be equal to change in its kinetic energy
so correct answer will be
[tex]W_{net} [/tex] = change in kinetic energy
#2
Torque is defined as
[tex]\tau = r \times F[/tex]
[tex]\tau = rFsin\theta[/tex]
so here torque will be maximum when applied force is perpendicular to the rod
so first figure of rod is correct for maximum torque
#3
When car makes turn then its passengers moves outwards which is due to the property of inertia because due to this property passengers has tendency to move in same direction and hence it feels to move outwards
So correct answer will be
inertia
#4
As per energy conservation we can say
initial potential energy = final kinetic energy
[tex]PE = KE[/tex]
[tex]KE = mgH[/tex]
[tex]KE = 0.5(9.8)(0.5)[/tex]
[tex]KE = 2.5 J[/tex]
20 pts easy question
Which question could Not be answered by using the scientific method?
Do girls grow faster than boys?
Does this shirt look bad?
Is cooked meat better for a dog than dog food?
Which US city gets the most rain?
1) A piano tuner is testing a wire currently under 2000 N tension. The wire is 1.5 m long and has a mass of 20 g. If the tuner's computer can detect a maximum frequency of 10,000 Hz, what is the highest harmonic number the computer can detect (1 point)
A) 77
B) 100
C) 25
D) 63
2) A wave is traveling with a speed of 400 m/s and it has a wavelength of 28 m. What will the frequency of the wave be if the wavelength is doubled but the speed remains the same? (1 point)
A) 9.09 Hz
B) 14.3 Hz
C) 21.7 Hz
D) 7.14 Hz
3) If a standing wave is vibrating in it's third harmonic, how many nodes does it have? (1 point)
A) 4
B) 3
C) 2
D) 1
4) An organ pipe, which is a pipe closed at one end, is 2.46 m long and the speed of sound in air in that pipe is 345 m/s. What is the frequency of the fundamental harmonic in this pipe? (1 point)
A) 44.9 Hz
B) 20.6 Hz
C) 35.1 Hz
D) 13.2 Hz
5) Using the same organ pipe from question 11, how many possible harmonics are there in the normal human hearing range of 20 Hz to 20,000 Hz? (1 point)
A) 570
B) 985
C) 101
D) 47
6) A standing wave is set up on a violin string to produce a note of A sharp Contra (58 Hz). The violin string is 32 cm long. If the sound is produced in the fundamental frequency, what is the speed of the wave moving across the string? (1 point)
A) 52.78 m/s
B) 18.83 m/s
C) 20.01 m/s
D) 37.12 m/s
1.
Answer:
N = 77
Explanation:
1) As we know that Tension in the wire is given as
T = 2000 N
now mass per unit length of the wire is given as
[tex]\frac{m}{L} = \frac{20 \times 10^{-3} kg}{1.5 m}[/tex]
[tex]\frac{m}{L} = 0.013 kg/m[/tex]
Now fundamental frequency is given as
[tex]f_o = \frac{1}{2L}\sqrt{\frac{T}{m/L}}[/tex]
[tex]f_o = \frac{1}{2\times 1.5}\sqrt{\frac{2000}{0.013}}[/tex]
[tex]f_o = 129 Hz[/tex]
now highest frequency is given as 10000 Hz
so total harmonics is given as
[tex]N = \frac{10000}{129}[/tex]
[tex]N = 77 [/tex]
2.
Answer:
D) 7.14 Hz
Explanation:
As we know that
speed = (frequency)(wavelength)
given that
speed = 400 m/s
wavelength = 28 m
so frequency is given as
[tex]f = \frac{400}{28}[/tex]
[tex]f = 14.3 Hz[/tex]
now if wavelength is doubled then we will have
[tex]wavelength = 56 m[/tex]
new frequency will be
[tex]f = \frac{400}{56}[/tex]
[tex]f = 7.14 hz[/tex]
3.
Answer:
Number of nodes = 4
A) 4
Explanation:
Number of nodes = number of harmonics + 1
so here we know that
number of harmonics = 3
Number of nodes = 3 + 1
Number of nodes = 4
4.
Answer:
C) 35.1 Hz
Explanation:
fundamental frequency in an organ pipe closed at one end is given as
[tex]f = \frac{v}{4L}[/tex]
here we know that
v = 345 m/s
L = 2.46 m
now we have
[tex]f = \frac{345}{4(2.46)}[/tex]
[tex]f = 35.1 Hz[/tex]
5.
Answer:
A) 570
Explanation:
Number of harmonics is given as
[tex]N = \frac{maximum :\frequency}{fundamental\: frequency}[/tex]
[tex]N = \frac{20,000}{35.1}[/tex]
[tex]N = 570[/tex]
6.
Answer:
[tex]v = 37.12 m/s[/tex]
Explanation:
For fundamental frequency we know that
[tex]f_o = \frac{v}{2L}[/tex]
here we know that
[tex]f_o = 58 Hz[/tex]
[tex]L = 32 cm[/tex]
now we have
[tex]58 = \frac{v}{2(0.32)}[/tex]
[tex]v = 37.12 m/s[/tex]