Distance between two waves' crests or troughs , λ = v/k
What is distance?
Distance is the sum of an object's movements, regardless of direction. Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traversed.
The speed at which a wave moves with particles oscillating about their mean location is known as its way velocity.
v = kλ is the formula for calculating wave velocity.
Where f represents the wave frequency or the number of waves passing through a place in a given amount of time.
The distance between two waves' crests or troughs that follow one another = λ
therefore distance, λ = v/ki
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Two students are running across country race. One has a mass of 60 kg, while the other has a mass of 68 kg if they are both running with a speed of 7 m/s which has more momentum? Why?
Answer:
The second student with mass 70kg has more momentum
Explanation:
Using the formula:
p = m × v
Where;
p = momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)
According to this question, two students are running in a cross country race.
Student 1 has the following; m = 60kg, v = 7m/s
Student 2 has the following; m = 70kg, v = 7m/s
Using p = mv
Student 1, p = 60 × 7 = 420 kgm/s
Student 2, p = 70 × 7 = 490 kgm/s
From the result of the above calculations, student 2 with mass 70kg has more momentum.
how much energy is stored in a 3.00- cm -diameter, 12.0- cm -long solenoid that has 150 turns of wire and carries a current of 0.790 a ?
According to the given statement the energy is stored in Long solenoid is U = 2.14 × 10⁻⁶ J.
Why is energy such a big deal?Energy is a crucial part of our everyday life although becoming an basic human need. The buildings that people have constructed are heated and cooled by energy. To raise a foot, get out of couch, or even simply walk and along main path, you need energy.
Briefing:
The diameter of the solenoid is given as 3cm or 0.03m.
The length of the solenoid is given as 12cm or 0.12m.
Current is given as 0.79A
The cross-sectional area of the solenoid is
A = πd²/4
A = π (0.03)²/4 = 0.000225m²
Inductance of the solenoid can be found out using the below formula,
L = μ₀ N² A/l
where, μ₀ is vacuum permeability
N is number of turns
A is cross-sectional area
l is length
L = μ₀ N² A/l
L = 4π × 10⁻⁷ * (150)² *0.000225/0.79 = 8.05 × 10⁻⁶ H
U = 1/2 L*i²
U = 0.5 * 8.05 × 10⁻⁶ * (0.73)²
U = 2.14 × 10⁻⁶ J
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A box slides down a slope at an angle of 21∘to the horizontal. The box is travelling at constant speed. What is the coefficient of dynamic friction? Give your answer to 2 significant figures.
The coefficient of dynamic friction between the box and the slope be 0.404.
What is friction?The resistance provided by surfaces in touch as they move past one another is known as friction.
To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.
In this question: A box slides down a slope at an angle of 21° to the horizontal.
If the mass of the box be m and coefficient of friction be μ,
The gravitational acceleration force acting along the moving be:
F = mgcos22°.
The frictional resisting force acting against the moving be:
f = μmgsin22°.
As the box is moving with constant velocity;
F = f
⇒μ = tan22° = 0.404
So, the coefficient of dynamic friction be 0.404.
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2. suppose that a 1000 kg car is traveling at 25 m/s (55 mph). its brakes can apply a force of 5000 n. what is the minimum distance required for the car to stop?
The minimum distance required by the car to stop a 62.5 m.
The mass of the car is given to be 1000 kg and it is travelling at a speed of 20 the brakes are applied by the car that is producing force of 5000 Newton.
Firstly the negative acceleration produced in the car will be,
F = Ma
M is the mass of the car,
F is the force appoint by the brakes and,
a is the negative acceleration.
Putting values,
5000 = 1000(a)
a = 5m/s².
So, the negative acceleration produced by the brakes is 5m/s².
The minimum distance required by the car to stop will be given by other relation,
D = U²/2a
Where, U is the initial speed of the car,
Putting values,
D = 25×25/2×5
D = 62.5m.
So, the stopping distance of the car will be 62.5 m.
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a fairground ride spins its occupants inside a flying-saucer-shaped vehicle. if the horizontal circular path the riders follow has a radius of 6.5 m, at how many revolutions per minute will the riders be subjected to a centripetal acceleration 1.65 times that due to gravity?
The riders make 15.09 rev/min when they are subjected to a centripetal acceleration 1.65 times that due to gravity.
Given that,
Radius of circular path = 6.5 m
Let ω be the angular velocity of ride
Centripetal acceleration is given by ω²r
which should be equal to gravity 1.65* (g)
ω²r = 1.65* g
ω² = (1.65* g)/r
ω = √(1.65* g/r) = √(1.65* 9.81/ 6.5) = 1.58 rad/sec
We know that, 1 rad/sec = 9.55 rev/min
So, converting rad/sec to rev/min we have,
ω = 1.58* 9.55 = 15.09 rev/min
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4. You take a running leap from a diving board at 1.5 m/s and hit the water 1.5 seconds later. How far (horizontally) from the diving board did you land?
Answer:
[tex]\huge\boxed{\sf S = 2.25\ m}[/tex]
Explanation:
Given data:Speed = v = 1.5 m/s
Time = 1.5 s
Required:Distance = S = ?
Formula:S = vt
Solution:S = (1.5)(1.5)
S = 2.25 m[tex]\rule[225]{225}{2}[/tex]
jupiter moon lo orbits the plantet at a distance of 421,700 km. what is the way to write the distance
Answer: 4.217 x 10^5 km
quasars are some of the the most luminous objects in the universe. the brightest quasar is detected is approximately 4 trillion times brighter than the sun. how close would this quasar have to be in order to generate 13,000 w/m^2- enough flux to ignite wood on the surface of Earth? solar luminosity= 3.86 E 26 W
More than 200 billion stars in our own Milky Way galaxy make up the combined luminosity of quasars, which can produce up to a thousand times as much energy. The sun is 27 trillion times fainter than the average quasar!
What quasars are some of the most luminous objects?Although quasars are the most luminous objects in the known cosmos, they seem feeble when viewed from Earth yet are detectable at great distances. The brightest quasar in the sky is 3C 273, which is located in the Virgo constellation.
Therefore, while a quasar will produce more energy over the course of its extended life. The strength of gamma ray bursts is higher. They are mostly created as a result of energy released during a hypernova's gravitational collapse.
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a girl helps her younger brother swing at a playground. initially, the swing is 0.34 m from the ground. the girl pulls back on the swing until it reaches a height of 1.08 m from the ground, then she lets go. what is the maximum speed of her brother as he swings? (her brother sits passively in the swing.)
The maximum speed of her brother as he swings is 5.04777 m/s.
Calculation:
conservation of energy
ΔPE = ΔKE
= mg (h₁-h₂) = 1/2= mv²
= v = √2g (h₁-h₂)
= V = √2x9·8 (0.34 - 1.08)
Vmax = 5.04777 m/s
Forces are influences that can change the movement of an object. A force can cause a mass to accelerate, thus changing its velocity. Forces can also be described intuitively by pushing or pulling. The word "force" has a precise meaning.
At this level, it is appropriate to describe the force as pushing or pulling. A force does not contain or have within an object. A force is applied from one object to another. The idea of force is not limited to animate or inanimate objects.
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The maximum speed of her brother as he swings (her brother sits passively in the swing.) is 1.14 m/s
The gravitational potential energy of the brother increases as he is lifted to a higher height. This increase in gravitational potential energy is converted to kinetic energy (the energy of motion) as the brother swings back down and gains speed. The maximum speed will be reached when all of the gravitational potential energy has been converted to kinetic energy.
The change in gravitational potential energy can be calculated using the formula:
ΔE = mgh
where m is the mass of the brother, g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.
Plugging in the values, we get:
ΔE = mgh = (50 kg)(9.8 m/s^2)(1.08 m - 0.34 m) = 330.8 kg*m^2/s^2
The maximum kinetic energy of the brother can be calculated using the formula:
E = 1/2 * m * v^2
where m is the mass of the brother, and v is the velocity (speed).
To find the maximum speed, we set the kinetic energy equal to the change in gravitational potential energy and solve for v:
E = 330.8 kgm^2/s^2 = 1/2 * (50 kg) * v^2
v = √(2E/m)
= √(2(330.8 kgm^2/s^2)/(50 kg))
= √(66.16/50)
= √(1.3232)
= 1.14 m/s
Thus, the maximum speed of the brother as he swings is approximately 1.14 m/s.
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Why is the milky way galaxy not expanding together with the rest of the universe?.
Answer:
The reason why the Milky Way is not expanding together with the rest of the universe is because local gravity dominates over the expansion of the universe. (The expansion of the universe is a relatively weak force acting throughout the universe).
Explanation:
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What does a distance-time graph represent?
A sloped line on a distance-time graph denotes motion of the item. In a graph of a distance versus time, the line's gradient or slope equals the object's speed. The steeper the line, the faster the thing moves (and the greater the gradient).
How does the acceleration line on a distance-time graph look?If an object's speed changes, it will either be accelerating or decelerating. On a distance-time graph, this can be represented as a curved line. if an object is speeding up or slowing down.
How would a distance-time graph appear?The distance-time graph is a straight line when a body's motion is uniform. The speed of the body is equal to the slope of the distance-time graph.
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Drag each label to the correct location.
Sort the characteristics of states of matter based on whether they change.
Changes;
Volume of a gas
Shape of a liquid
Shape of a gas
Does not change;
Volume of a solid
Shape of a solid
Volume of a liquid
What are the states of matter?In our introductory science lessons, we must have leant that matter is any thing that has mass and occupy space. We know that matter can occur in three states of matter and these are the solid, liquid and gaseous stage of matter.
Now we know that a liquid has a definite volume but does not have a definite shape. The gas on the other hand does not have a definite shape and a definite volume. It takes the shape and the volume of the container where it is found.
A solid would always retain in itself, a definite shape and a definite volume. This is why the solid is not compressible but the liquid and the gas are compressible.
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A small car and a semi-truck have the same total mechanical energy. Which of the
following CANNOT be true?
The car must be moving faster than the truck and the truck and car are at the
same height.
The car is going the same speed as the truck and the truck and car are at the
same height.
The car is going the same speed as the truck and the car is at a higher elevation
than the truck.
The car is at a higher elevation and both the car and the truck are stationary.
The statement that can not be true is that; the car is going the same speed as the truck and the truck and car are at the same height. Option B
What is mechanical energy?The term mechanical energy has to do with the energy that is either in motion or the energy that is at a point. We can see that the total mechanical energy must have to be constant in a closed system.
We know that both the kinetic energy and the potential energies of the car and the truck would have to depend on the masses of the objects. The truck must have a much larger mass than the car. This implies that looking at the masses of the objects, the car and the truck must have different values of speed and height if they are to have the same total mechanical energy.
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suppose you have two negative point charges. as you move them farther and farther apart, the potential energy of this system relative to infinity:____.
Take the case where you have additional opposite unit charges. The potential energy of such a system with respect to infinity decreases as they are moved apart further and further.
What is potential energy defined as?Potential energy is a type of stored energy that depends on the relative locations of various system components. A spring's potential energy increases when it is stretched or compressed. When a steel ball is lifted above the earth's surface as opposed to being brought to it, it has far higher potential energy.
Which of these three forms of energy has potential?Stones poised on an edge of the cliff contain potential energy. If the stones fall, the stored energy will become kinetic energy. Branches high on the tree have had the potential to fall, which provides them life. The food we consume contains chemical potential energy.
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Tell how the volume of a material is related to temperature. Use the terms thermal expansion and thermal contraction in your response.
The volume of a material is directly related to its temperature in that thermal expansion occurs with an increase in temperature while thermal contraction occurs with a decrease in temperature.
What are thermal expansion and thermal contraction?The effect of heat, when applied to a substance, is that it may result in thermal expansion or thermal contraction when heat is removed
Thermal expansion refers to the increase in the size of a material when heat is applied to the substance resulting in temperature increase. Thermal expansion may be an increase in volume, area, or length.
Thermal contraction refers to the decrease in the size of a material when heat is removed from the substance. Thermal expansion may be a decrease in volume, area, or length.
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An electric appliance is connected by wires to a 240-volt source of voltage. If the combined resistance of the appliance and wires is 12 ohms, how much current is flowing through the circuit?
Answer:
Below
Explanation:
Basic equation
V = IR
solve for I
V / R = I
240 / 12 = 20 amps
How does the average pressure f an elephant standing on the ground compared to that exerted by a person standing on the ground? The person weighs 640N. each shoe has an area of about 0.016 m^2 in contact with the floor. The elephant weighs 4.13x10^4N and has four feet, each with an area of about 0.14 m^2 in contact with the ground.
(a) The average pressure exerted by the person is 40,000 N/m².
(b) The average pressure exerted by the elephant is 295,000 N/m².
The average pressure exerted by the elephant is about 7 times greater than the average pressure exerted by the person.
What is average pressure exerted by the elephant and person?The average pressure exerted by each is defined as the force per unit area.
Mathematically, the formula for average pressure is given as;
P = F/A
where;
F is the applied forceA is the area of each objectP = W / A
where;
W is weight of the personA is the area of surface in contactThe average pressure exerted by the person is calculated as follows;
P = (640 N) / (0.016)
P = 40,000 N/m²
The average pressure exerted by the elephant is calculated as follows;
P = (4.13 x 10⁴ N) / (0.14)
P = 295,000 N/m²
Thus, the average pressure exerted by the elephant and the person depends on their weight and area of their shoes.
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5°=.........'. =.....,......."
15°6'35"=........... "
5400"=............°.........'
73530s=...........h..........min..........s
1h15min 27s=...........h=........min=..............
47°k=...........°C
58°k=...........°C
0,020kg=.........g
The correct answers to the conversions in the task above are as follows:
a. 5°C = 41°Fb. 15°C= 859.4 degrees radiansc. 5400°F = 2982.2°Cd. 1h 15min 27s = 1h = 75minutes e. 47°k = -226°Cf. 58°k = -215.15°Cg. 0.020kg = 20gWhat is meant by degrees celsius?The degrees celsius is a scale grade which is used to define two different points. This scale system for instance works on the principle of zero degrees (0°) for the freezing point of water and hundred degrees (100°) for the boiling point of water.
From the task given above on converting 0.020kg to g,
Recall:
1000g = 1kg
to convert 0.020kg to grams
then we will have
1000g = 1kg
x = 0.020kg
Cross multiplying
x = 1000 × 0.020
= 20.
This means that we have 20g in 0.020kg.
In conclusion, we can now confirm from the explanation given above that the symbol of degrees celsius is °C.
Complete question:
Convert the following:
a. 5°C to degrees Fahrenheit =.............°F
b. 15°C to radians = ...............
c. 5400 Fahrenheit to degrees Celsius = .....°
d. 1h15min 27s=...........h=........min=..............
e. 47°k=...........°C
f. 58°k=...........°C
g. 0.020kg=.........g
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What term is used to describe how things behave and is usually expressed in mathematical terms
Answer:
a 'Law'
Explanation:
Newton's laws of motion
Charles' Law etc
The term "law" is used to describe how things behave and is usually expressed in mathematical terms.
What are scientific laws?Scientific laws or laws of science are propositions that describe or forecast a variety of natural occurrences and are based on repeated tests or observations.
All branches of natural science use the word "law" in a variety of contexts (approximate, accurate, broad, or narrow) (physics, chemistry, astronomy, geoscience, biology). All laws are directly or indirectly dependent on empirical facts, and they are developed from data and can be further developed through mathematics.
It is generally accepted that they are discovered rather than invented and implicitly represent causal links that are fundamental to reality even though they do not expressly declare them.
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An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment. What would be an advantage of using a solid-state detector?.
An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment, it converts part of the particles energy directly into electric current this would be an advantage of using a solid-state detector.
What is solid-state detector?Radiation detectors that use a semiconductor material as the detecting medium are known as solid-state semiconductor detectors. When these detectors come into contact with ionising radiation, they generate a pulse of electric current using pairs of charge carriers, electrons and holes.
It converts part of the particles energy directly into electric current, this would be an advantage of using a solid-state detector.
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16. when the pressure at the hose valve outlet exceeds a predetermined pressure, how are fire fighters in most jurisdictions alerted of the high pressure?
Warning signs are fire fighters in most jurisdictions alerted of the high pressure.
How is a fire suppression system designed to operate?By taking away heat or oxygen or by interfering with chemical reactions, suppression agents put out fires. When the system is turned on, the agent moves from the cylinder to the safe area either directly through the detection tube or via hoses and nozzles that are connected to it.
The Most Popular Styles of Fire Suppression Equipment
Systems for putting out fires that use water. Chemical Foam Suppression Systems, Pneumatic Heat Detection Tubes, Pressurized Gas Systems, Foam Deluge Systems, and Water Extinguishing Systems are some of the most popular fire protection systems.
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If a wheel tart from ret what i the angular velocity after 4. 20 ha elaped, auming the force i acting during that time?
For finding angular velocity, we need angular displacement Ф or angular acceleration α. In this question, the information provided is only time elapsed. So, with a given input, angular velocity can't be calculated.
Angular velocity is a measure of rotational rate. This gives how fast an object is moving about an axis. It is represented by the symbol ω (omega). It is a measure of angular displacement per unit of time.
Angular velocity = Angular displacement/time
ω = Ф /t
Angular displacement is the angle made during rotation per unit of time. Angle is measured in radians.
There is a relation between angular velocity and linear velocity.
v = r. ω
means. linear velocity = radius × angular velocity
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you add information on the x-axis to represent a scale of values for the total electric vehicle sales and on the y-axis to represent the time periods (2015 and 2020). 1 point true false
You add information on the x-axis to represent a scale of values for the total electric vehicle sales and on the y-axis to represent the time periods (2015 and 2020). (False)
What does data analytics "spotlighting" mean?
A technique for displaying discrete thresholds based on the values of a metric is spotlighting. Consider color-coding sales so that those over 10,000 appear in green and those below 10,000 appear in red. A spotlighting calculation is merely another word for a computation that produces a discrete measure.
Keep in mind that the x-axis is one of the axes of a two- or three-dimensional graph. In a graph using a cartesian coordinate system, the x-axis is the horizontal plane that gives each point along the x-axis and y-axis a numerical value.
As a result, using spotlighting, you can quickly identify the most important insights by skimming over the data in light of the aforementioned query. Data analysts can recognize broad, general concepts and messages by using spotlighting.
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27. A force of 91 N is exerted straight up on a stone that has a mass of
0.75 kg. Calculate
a. the weight of the stone.
b. the net force acting on the stone.
c. the acceleration of the stone.
consider a conductor at rest in a static electric field. which statement is true about how the conductor interacts with the electric field?
Option (a) is Correct. Take a look at a static electric field around a conductor at rest. then the conductor's internal electric field is exactly zero.
Electrons are free to move in a conductor. If they are subjected to a force, they will move faster in that direction. A force F = -eE acts on each free electron when a conductor is exposed to an external electric field. Electrons gain speed and accelerate in the direction that is the opposite of the field. There are no closed loops formed by electric field lines.
Because electric field lines begin with positive charge and conclude with negative charge, the assertion is accurate. A loop can never be closed since the starting and ending points of the electric field lines are different. Charges that are free to move are present in conductors. Charges in a conductor react swiftly to attain a constant state known as electrostatic equilibrium when an excess of charge is applied to the conductor or the conductor is placed in a static electric field.
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Correct Question:
Consider a conductor at rest in a static electric field. Which statement is true about how the conductor interacts with the electric field?
A. The electric field inside the conductor is exactly zero.
B. Any net charge on the conductor is distributed evenly throughout the volume of the conductor.
C. The electric field is parallel to the surface of the conductor at all points along its surface.
D. The electric field lines pass through the conductor unaffected by its presence.
A block is pushed across a 10 m rough surface quickly by a boy. Which of the
following would not increase the power needed by the boy to move the block?
A)Decrease the time of the block slid
B)Increase the mass of the block
C)Increase the time of the block was slid
D)Increase the roughness of the surface
Answer:A
Explanation:i got it right
A ball of mass 0.440 kg moving with a speed of 3.70 [m / s] collides head-on with a 0.220 [kg] ball at rest. If the 0.440 [kg] ball moves at 1.23 [m / s] in its original direction, what is the speed of the 0.220 [kg] ball after the collision?
Answer: 3.0 m/s
Explanation:
Conservation of momentum: total momentum before collision = total momentum after collision
momentum = p = mv
(0.440 kg)(3.70 m/s) + (0.220 kg)(0.0 m/s) = (0.440 kg)(1.23 m/s) + (0.220 kg)(x)
Solve for x, speed of the 0.220 kg ball after the collision:
1.628 + 0 = 0.54x
x = 1.628/.54 = 3.0 m/s
A book at rest on the table has a weight of 8N. At what rate the book is accelerating?
Answer:
.8163 kg
Explanation: W=mg
The newtons = weight
Force due to gravity= 9.8m/s ^2
8N=m(9.8m/s^2)
M= .8163 kg
4. How (about) far from San Francisco is the epicenter that you found? What would the
difference in arrival times of the P waves and S waves be for a recording station in San
Francisco?
To calculate the distance from the earthquake to the station, divide the arrival times of the P and S waves. Calculate the separation between the initial P and initial S waves. The first P and S waves in this instance are separated by 24 seconds.
Where is the earthquake's hypothetical epicenter, Grade 10?The beginning of the earthquake's rupture is where the epicenter of a hypothetical earthquake is situated. The epicenter is the location that is directly above the Earth's surface.
Where exactly is the epicenter?The focal point is the location where an earthquake begins within the crust of the Earth. The epicenter is a location on the surface of the Earth that is directly above the focus.
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What does the amplitude of sound refer to?
the sound’s volume
the sound’s frequency
the sound’s duration
the sound’s pitch
The amplitude of sound refers to the sound’s volume or loudness.
What is amplitude of sound?A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The relationship between loudness and sound amplitude is straightforward. A sound wave's amplitude determines how loud it will be; the larger the amplitude, the louder the sound. The sound will be weak if the amplitude is minimal.
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