(a) The angular speed is 282.74 rad/min.
(b) The linear speed is 439.82 in/min.
(a) To find the angular speed of the fan in rad/min, we need to convert the rpm (revolutions per minute) to rad/min (radians per minute).
1 revolution = 2π radians
So, the angular speed in rad/min can be found by:
Angular speed = (45 rpm) x (2π radians/1 revolution) = 90π radians/min
Approximately, the angular speed is 282.74 rad/min.
(b) To find the linear speed of the tips of the blades in in./min, we need to use the formula:
Linear speed = (radius of fan) x (angular speed)
The radius of the fan is half the length of the blades, which is 14 in. So,
Linear speed = (14 in) x (90π radians/min)
Approximately, the linear speed is 439.82 in/min.
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A closed system consists of a pendulum that is swinging
back and forth. If the pendulum's gravitational potential
energy decreases, what else must happen to the energy of the
system?
O A. Its total mechanical energy must decrease.
O B. Its kinetic energy must decrease.
O C. Its kinetic energy must increase.
D. Its total mechanical energy must increase.
Answer:
C.
Explanation:
It's just C.
If the gravitational potential energy decreases, then the kinetic energy of the pendulum must increase. Therefore, option (C) is correct.
What is the gravitational potential energy?Gravitational potential energy is the energy acquired by an object in a gravitational field due to a change in its position. Gravitational potential energy is an energy that is related to gravity or gravitational force.
When a body of mass (m) is moved inside the gravitational influence of a source mass (M) without accelerating it. The work done is stored in the form of potential energy is known as gravitational potential energy.
The law of conservation of mechanical energy indicates that the mechanical energy of a pendulum remains constant when all the forces acting on it are conservative.
Therefore, if the gravitational potential energy of the pendulum decreases, the kinetic energy will increase. Therefore, option (c) is correct.
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The diagram below snows snapshots of an oscillator at different times. What is the period of the oscillation?
Hi there!
The period of an oscillation is the amount of time taken by the object to go back to its ORIGINAL position.
The block is at + 0.10 m at t = 0.0 s and t = 1.80 s.
Thus, the period of the oscillation is 1.80 sec.
Please HELPPPP!!! Describe the frequency and wavelength range of this type of electromagnetic wave. IM uses X-Ray which uses Ionizing radiation.
The frequency range of electromagnetic waves of X-ray is 3 ×10¹⁶ Hz to 3 ×10¹⁹ Hz. The wavelength range of electromagnetic waves of X-ray is 0.01 nm t0 10 nm.
What is the electromagnetic spectrum?The electromagnetic spectrum of electromagnetic waves can be described as the range of frequencies of electromagnetic radiation and its wavelengths and photon energies. The electromagnetic spectrum have range from one Hertz to above 10²⁵ Hertz.
The wavelength of electromagnetic radiation lies in between 380 to 760 nm and is detected by the human eye and characterized as visible light.
Electromagnetic waves of each frequency band are known by different names; starting at the low frequency (long wavelength) end of the spectrum these are radio waves, microwaves, infrared (IR), visible light, UV, X-rays, and gamma rays at the high-frequency (short wavelength) end.
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A capacitor of unknown charged capacitance c is charged to 100v and the connected across an intially uncharged 60micro f capacitor. If the final potenial diffrence across the 60micro-f capacitor is 40v ,determine c
If the final potential difference across the 69micro -f then capacitor is 40Mf
We cannot expect simple energy conservation to hold because energy is presumably dissipated as heat in the connection wires or as radio waves while the charge oscillates during the system "settling down" to its final state (40V across the parallel pair of capacitors C and 60 F).
We anticipate that charge will be conserved. Thus, if Q is the initial charge stored on C and q 1 and q2 are the charges on the parallel pair after "settling down," then -
Q= q1+ q2
C(100V) = C(40V) + 60mf(40V)
C= 40Mf
An electrical component that stores electrical energy in an electric field is known as a capacitor. It is made up of two conductive plates separated by a nonconductive material known as a dielectric.
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i need help with question 5heat capacity of water =4200 heat capacity of aluminium is = 897 heat capacity of oil = 1900 and heat capacity of gold is 129 if equal amount of energy is applied to all these materials which material would have the greatest temperature change and why. Explain your answer
Given that
heat capacity of water = 4200
heat capacity of aluminium = 897
heat capacity of oil = 1900
heat capacity of gold = 129
Heat capacity is the amount of heat a material absorbs to increase its temperature by 1 degree Celsius.
So, larger the heat capacity of a material lower will be the temperature change.
If equal amount of energy is applied to the materials, then gold will have the greatest temperature change as its heat capacity is lowest than other materials.
An object with a mass of m = 3.90 kg is suspended at rest between the ceiling and the floor by two thin vertical ropes. The magnitude of the tension in the lower rope is 17.9 N. Calculate the magnitude of the tension in the upper rope.
Magnitude of the tension in the upper rope = 55.4 N
Given,
Mass of the object (m) = 3.90Kg
Tension in the lower string (T₂) = 17.2 N
Let Tension in the upper string (T₁) = T₁
The object is suspended at rest, so all forces on it are balanced. This gives us the equation :
T₁ = T₂ + W
Where W = mg (weight of the body)
T₁ = 17.2 N + 3.90 × 9.81 m/s²
= 17.2 N + 38.259 N
= 55.4 N
There the magnitude of tension in the upper rope is 55.4N.
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A cheerleader waves her pom-pom in SHM with an amplitude of 18.8 cm and a frequency of 0.900 Hz .
Find the time required to move from the equilibrium position directly to a point a distance 11.2 cmaway.
I'm having an extremely hard time with this, no matter how many times I calculate 6.47, it says it's wrong!
To find the time required for the cheerleader's pom-pom to move from the equilibrium position to a point a distance of 11.2 cm away, we can use the formula for the period of simple harmonic motion (SHM):
T = 1/f
T = 1 / 0.900 Hz
T ≈ 1.111 s
where T is the period and f is the frequency. In this case, the frequency is given as 0.900 Hz.
Plugging in the values:
T = 1 / 0.900 Hz
Calculating the reciprocal of the frequency:
T ≈ 1.111 s
The period represents the time required for one complete cycle of motion. Since we want to find the time for the pom-pom to move from the equilibrium position to a point 11.2 cm away, we can divide the period by 4, as this corresponds to one-fourth of a complete cycle.
Time required = T / 4
Time required ≈ 1.111 s / 4 ≈ 0.2778 s
Therefore, the time required for the pom-pom to move from the equilibrium position to a point 11.2 cm away is approximately 0.2778 seconds.
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As a moon in a very elliptical orbit moves closer to and then farther from a planet, gravity flexes the moon with tides, and friction heats the interior. This process is referred to as
Answer:
i think it was kneading because of that constant gravitational war between two interstellar celestial bodies one is also molding the other with its gravitational force so that way between the moon and the earth is a gravitational war between the two objects
Explanation: DO BE WARNED . i am not 100% sure if this was the correct term or not so please do consider this warning.
a 4.5-v battery is connected to a bulb whose resistance is 1.3 0. how many electrons leave the battery per minute?
Approximately 1.298 x 10^21 electrons leave the 4.5 V battery per minute when connected to a bulb with a resistance of 1.3 Ω.
To calculate the number of electrons leaving the battery per minute, we first need to determine the current flowing through the circuit. Using Ohm's Law (I = V/R), where V is the voltage (4.5 V) and R is the resistance (1.3 Ω), we find that the current is approximately 3.46 A.
Next, we calculate the total charge passing through the circuit by multiplying the current by the time in seconds. Assuming a time of 60 seconds (1 minute), the charge (Q) is equal to 207.6 C.
To determine the number of electrons, we convert the charge to Coulombs. One Coulomb is equivalent to the charge of approximately 6.24 x 10^18 electrons.
Dividing the total charge by the charge of a single electron, we find that approximately 1.298 x 10^21 electrons leave the battery per minute when connected to the given bulb.
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what quantity of heat energy is needed to melt 120g of ice at -20°C to water at 30°c? (SHC of water = 4200J/kg/k, SHC for ice = 2100J/kg/K, Specific latent heat of fusion of ice = 3.36x10^5 J/kg)
Answer:
59, 720 Joules
Explanation:
\(q = mc(t2 - t1) + m(lf) + mc(t2 - t1)\)
first term=ice to 0 degrees
second term=water to ice
third term-water to 30 degrees
\(q = 0.12 \times 2100 \times 20 + 0.12 \times 3.36 \times {10}^{5} + 0.12 \times 4200 \times 30\)
\(q = 59720 \: joules\)
Two balls with the same mass, one of wood and the other a ping-pong ball partly
filled with sand, are rolled along a desk. the wooden ball rolls along nicely, but the
ping-pong ball stops in a few centimeters. what happened to its kinetic energy?
was the kinetic energy changed to heat energy by the force of friction between the
ball and the desk? explain your answer.
The ping pong ball gets more friction from the floor and it reduces the kinetic energy of a moving object by change it into heat energy. Therefore, the statement is true.
What is friction?Friction is a kind or force which resist the motion of a body. Friction results from the close contact between two surfaces and it increases when they rub together.
Friction opposes the force which makes the displacement of a body. Hence it is given a negative sign. Kinetic energy of a body is generated by virtue of its motion.
When friction acts on an object due to roughness in surface, it converts the kinetic energy of the moving object to heat energy loss. Thereby, the object fails to move smoothly.
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Viewed from a distance, how would a flashing red light appear as it fell into a black hole?.
Explanation:
Light rays that pass close to the black hole get caught and cannot escape. so what ends up happening to the light is that it starts bending due to the strong gravitational force of the black hole.
How many molecules of water are found in this formula--6H2O?
Answer:
6 the number infront of H2O is the amount of molecules it is
Explanation:
NEED HELP ASAP PLS (with work)
A punt is kicked at an angle of 60 with a speed of 40 m/s, and lands at the same
height from which it was kicked.
How far away will the ball land?
What is the maximum height reached by the ball?
What is the hang time? Total
Answer:
1) The ball will land approximately 141.4 m away from where it was kicked
2) The maximum height reached is approximately 61.22 m
3) The total hang time is approximately 7.07 seconds
Explanation:
First we list out the known parameters
The direction in which the punt is kicked, θ = 60°
The speed with which the punk is kicked, v₀ = 40 m/s
1) The distance away (the range, R) the ball will land is given by the equation;
\(R = \dfrac{v_0^2 \times sin(2\cdot \theta)}{g}\)
Where;
g = The acceleration due to gravity = 9.8 m/s²
Substituting the values, gives;
\(R = \dfrac{40^2 \times sin(2\times60^{\circ })}{9.8} \approx 141.4 \ m\)
The distance away the ball will land ≈ 141.4 m
2) The maximum height is given m=by the following equation for vertical motion;
(v₀ × sin(θ))² = 2 × g × \(h_{max}\)
Obtained from the equation of motion, v² = u² - 2×g×h where at maximum height;
v = 0 at maximum height, the ball stops upward motion
h = Height of motion = \(h_{max}\) at maximum height
v, and u are the vertical component of the velocity, v₀
Substituting the values in the equation for the maximum height, gives;
(40 × sin(60))² = 2 × 9.8 × \(h_{max}\)
(40 × (√3)/2)² = 1200 = 19.6 × \(h_{max}\)
1200 = 19.6 × \(h_{max}\)
\(h_{max}\) = 1200/19.6 ≈ 61.22 m
The maximum height reached ≈ 61.22 m
3) The time to maximum height is given by the following equation of motion;
\(v_y\) = v₀ × sin(θ) - g × t
\(v_y\) = 0 at maximum height
We therefore have;
v₀ × sin(θ) = g × t
t = v₀ × sin(θ)/g = 40 × sin(60°)/9.8 = (40 ×(√3)/2)/9.8 = 3.535 seconds
Given that the motion of the ball is symmetrical about the maximum height, we have;
The time from ground level to maximum height = The time from the maximum height back to the ground level
The total time hang time = The time from ground level to maximum height + The time from the maximum height back to the ground level
The total time hang time ≈ 3.535 + 3.535 ≈ 7.07 seconds.
The total time hang time ≈ 7.07 seconds.
Which of the following statements about stars is true?
The statement "Stars vary greatly in temperature" (option A) is true about stars.
What are stars?Stars are massive, luminous spheres of plasma held together by their own gravity. They are the fundamental building blocks of the universe and are responsible for the creation of all heavy elements and the energy that powers all life on Earth.
Stars can have a wide range of temperatures, from as low as 2,000 Kelvin (K) for cooler red dwarfs to over 30,000 K for hotter blue giants. The temperature of a star is closely related to its color, with cooler stars appearing reddish in color and hotter stars appearing bluish in color.
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Complete question:
Which of the following statements about stars is true?
A. Stars vary greatly in temperature.
B. Stars rarely differ in temperature.
C. All stars are the same temperature.
D. none of these
Energy that is stored is called...
Answer:
Potential energy
Explanation:
Potential energy is stored energy and the energy of position––gravitational energy. There are several forms of potential energy. Electrical Energy is the movement of electrical charges. Everything is made of tiny particles called atoms.
- Scientific Forms of Energy_ Stored Energy, Kinetic Energy ...ei.lehigh.edu › learners › energy › readings › energy_basics
Consider the two objects that are 100-meters apart, as shown below. The object on the left is thrown at an angle of 40-degrees above the horizontal, at a speed of 45−m/s. The object on the right is thrown straight up at an unknown speed. If you visualize the path of each object, you should see there is only one possible location where the objects might collide. Assuming both objects are thrown at the same time: a. At what position/location might the two objects collide? (10pts) b. What is the minimum speed the object on the right needs to be thrown upwards at to be able to collide with the object on the left? (10pts) c. What is the velocity of the object on the left at the instant they collide? (5pts)
The object on the right needs a minimum speed of approximately 22.5 m/s to collide with the object on the left. At the instant of collision, the object on the left will have a velocity of approximately 31.1 m/s.
a. The collision between the two objects will occur at a position located between their initial positions. Since the object on the left is thrown at an angle of 40 degrees above the horizontal, its horizontal velocity will be given by v_x = v * cos(40), where v is the initial speed of 45 m/s.
The time taken for the object on the left to reach the collision point can be determined using the horizontal velocity and the distance between the objects. The vertical position of the object on the left at this time can be found using the equation y = v_y * t - (1/2) * g * t^2, where v_y is the vertical velocity at launch and g is the acceleration due to gravity. By substituting the known values, the horizontal and vertical positions can be obtained.
b. To find the minimum speed required for the object on the right to collide with the object on the left, we need to calculate the vertical speed at which it should be thrown upwards. At the point of collision, the horizontal position of the object on the right will be the same as that of the object on the left.
Using the known horizontal distance and the time taken for the object on the left to reach this position, the time can be determined. The vertical position of the object on the right can be found using the equation y = v_y * t - (1/2) * g * t^2. By substituting the known values, the required vertical speed can be calculated.
c. At the instant of collision, the object on the left will have a velocity composed of both horizontal and vertical components. The horizontal velocity will remain constant throughout the motion, while the vertical velocity will change due to the acceleration of gravity.
The magnitude of the velocity vector at the instant of collision can be calculated using the equation v = sqrt(v_x^2 + v_y^2), where v_x is the horizontal velocity and v_y is the vertical velocity at the collision point. By substituting the known values, the velocity of the object on the left at the instant of collision can be determined.
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The spin of Earth creates the Coriolis effect. This effect causes which current patterns to occur? Check all that apply
Surface ocean water in the Northern Hemisphere moves clockwise.
Surface ocean water in the Southern Hemisphere moves counterclockwise.
How spin of Earth creates the Coriolis effect?The Earth rotates on its axis which leads to circulation of air that is deflected toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere. This deflection is called the Coriolis effect. Coriolis effect result in the rotation of Earth on weather patterns and ocean currents. The Coriolis effect makes storms swirl clockwise in the Southern hemisphere and counterclockwise in the Northern Hemisphere. The force that describe the paths of objects on rotating bodies. The main cause of the Coriolis effect is the Earth's rotation. As the Earth spins in a counter-clockwise direction on its axis, things flying and flowing over a long distance above its surface is deflected.
So we can conclude that Earth is a spinning planet, and its rotation affects climate, weather, and the ocean through the Coriolis effect.
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The spin of Earth creates the Coriolis effect. This effect causes which current patterns to occur? Choose all that apply
Surface ocean water in the Northern Hemisphere moves clockwise.
Surface ocean water in the Southern Hemisphere moves clockwise.
Surface ocean water in the Northern Hemisphere moves counterclockwise.
Surface ocean water in the Southern Hemisphere moves counterclockwise.
Surface ocean water moves clockwise in both hemispheres.
Surface ocean water moves counterclockwise in both hemispheres
An athlete runs at a velocity of 18ms due east. A
strong wind traveling at 8ms blows on bearing 230⁰.
Find the resultant velocity using triangle of vector.
The resultant velocity of the athlete is 19.7m/s at a bearing of 24.9⁰.
Step 1: Draw the vector diagram
The first step is to draw a vector diagram that depicts the athlete's velocity (18m/s due east) and the wind's velocity (8m/s at a bearing of 230⁰).
Step 2: Draw the resultant vector
Now, we draw the resultant vector from the tail of the first vector to the head of the second vector.
This gives us the resultant velocity of the athlete after being impacted by the wind.
Step 3: Calculate the magnitude and direction of the resultant vector
Using the triangle of vectors, we can calculate the magnitude and direction of the resultant vector.
The magnitude is the length of the vector, while the direction is the angle between the vector and the horizontal axis.
We can use trigonometry to calculate these values.
In this case, we have a right triangle, so we can use the Pythagorean theorem to calculate the magnitude of the resultant vector: \(R^{2} = (18m/s)^{2} + (8m/s)^{2} R^{2} = 324 + 64R^{2} = 388R = \sqrt{388R} = 19.7m/s\)
To calculate the direction of the resultant vector, we can use the inverse tangent function: Tanθ = Opposite/AdjacentTanθ = 8/18Tanθ = 0.444θ = tan⁻¹(0.444)θ = 24.9⁰
Therefore, the resultant velocity of the athlete is 19.7m/s at a bearing of 24.9⁰.
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What is different about parasitism compared to the other biological relationships such as mutualism, predation, competition, and commensalism?
Answer: parasitic organisms cause harm to other organisms.
Answer:
parasitic organisms cause harm to other organisms.
Explanation:
civilizations capable of sending out broadcast messages that we could possibly detect across interstellar distances would have to be technologically advanced and would probably be much more advanced than we are. that makes it difficult to decide what sort of signals they would send. the seti program has decided to listen for microwave signals rather than more exotic types of signals (such as laser light, gamma rays, neutrinos, gravitational waves, etc.). the main reason for this choice is that
For a given amount of energy utilized to create the signal, a microwave transmission can transmit the most data.
In order to provide high speed wireless connections that can send and receive audio, video, and data information, microwave is a line-of-sight wireless communication technique.
Highly directional antennas are used for line-of-sight propagation channels in terrestrial microwave transmission employing frequencies in the 4- to 12-GHz range. Depending on their spacing, the antennas' diameters can range from 12 inches to several feet and are often parabolic.
A series of microwave radio antennas make up this microwave link. They are found atop towers at various microwave locations. A communication system called a microwave link uses radio signals as a bridge to convey data between two or more fixed locations. A microwave network is composed of several microwave links.
Mobile cell towers and mobile phones communicate with one another via radio waves and microwaves, respectively. Because they can penetrate the atmosphere, microwaves are used. This signal can be transmitted to a satellite and used for global communication (more than one satellite is required for this).
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two blocks of masses m and 3 m are placed on a horizontal, frictionless surface. a light spring is attached to one of them, and the blocks are pushed together with the spring between them. m 3m m 3m before after (a) (b) v a cord holding them together is burned, after which the block of mass 3 m moves to the right with a speed of 2.06 m/s. what is the speed of the block of mass m? answer in units of m/s
V1f= -6.75 m/s (left),original elastic potential energy = 12.7575 J,The original energy is in the Spring,In bursting-apart process, The conservation of momentum is Holds.
(a) Mass of the first block, M
Mass of the second block, 3M
final speed of the second block, V2f =2.25 m/s
Before the cord burns, both masses are in rest oposition,
Hence, initial speed of then m is 0,
They are V1i, V2i = 0 m/s
Hence, by conservation of momentum,
MV1i + 3MV2i = MV1f + MV2f
M(0) + 3M (0) = MV1f + 3M (2.25 m/s)
V1f= -6.75 m/s (left)
(b) Kinetic energy of the system,
K.E = 1/2 MV1f2 + 1/2 3M V2f2
=1/2 (0.420 kg)(6.75 m/s)2+1/2(1.26)(2.25 m/s)2 (given, M = 0.420 kg)
=9.568125 J + 3.189375 j
=12.7575 j
According to conservation of energy,
The loos of kinetic energy is used to gain in original elastic potential energy
Hence, original elastic potential energy = 12.7575 J
(c) Since the spring stores the potential energy,
The original energy is in the Spring
(d) In bursting-apart process, The conservation of momentum is Holds.
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a man standing still at a train station watches two boys throwing a baseball in a moving train. the train is moving east with a constant speed of 18 m/s and one of the boys throws the ball with a speed of 8 m/s with respect to himself toward the other boy, who is 7 m west from him. what is the velocity of the ball as observed by the man on the station?
The tennis ball's final velocity is calculated to just be -1.37ms 1, and the gap between its peak height and change in velocity is 0.10m.
What is the ball's motion?The rolling ball can move in two different ways: translationally and rotatedally. While the ball rotates in the mass center frame, the ball's centre of mass experiences translational motion.
What exactly is speed?The dislocation that an item or particle experiences with regard to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted measure of flow speed (also known as speed). Alternately, the magnitude of velocity can be expressed in centimetres per second (cm/s).
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The chemical combination of atom a and atom b would result in
Answer:
A molecule
Explanation:
MICROSCOPIC STRUCTURE: a Dental Plaster: They are Fibrous aggregar of fine cupotal with capitany pares. then guerre Kuyrak Cleavage fragments and b) Dental Stone and prio crystals in the form of mods c) Die Stone Cuboidal Shape Investment DIAGRAMS OF CRYSTALS: Dental Plaster Dental Stone Investment Die Stone 19 DEMONSTRATION: 1. MIC AIM: To study the manipulation of dental plaster and pouring a compound impression GAUGING WATER: W/P = 50ml/100 gms. a PROCEDURE b 1. AIM: To study the manipulation of dental stone and pouring an alginate impression GAUGING WATER: W/P = 30ml/100gms. PROCEDURE 1. AIM: To study the manipulation of die stone and pouring and elastomeric impression GAUGING WATER: W/P = 25ml/100 gms. PROCEDURE
The provided text contains information about the microscopic structures and crystal diagrams of dental plaster, dental stone, and die stone. It also mentions the gauging water ratios and procedures for manipulating and pouring compound impressions using these materials.
The text describes the microscopic structure of dental plaster, which consists of fibrous aggregates of fine cupotal with capitany pares. Dental stone is described as having prior crystals in the form of mods, while die stone is characterized by its cuboidal shape.
The crystal diagrams are mentioned for each material: Dental plaster, dental stone, and die stone.
The text then outlines three different demonstrations, each with a specific aim and gauging water ratio. The demonstrations involve studying the manipulation of dental plaster, dental stone, and die stone, as well as pouring compound impressions using these materials. The procedures for each demonstration are provided.
To learn more about the manipulation of dental plaster, dental stone, and die stone, as well as the pouring of compound impressions, further information can be explored in dental textbooks or dental laboratory manuals.
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What is the distance between two points on a wave called
Explanation:
Wavelength is the distance between two consecutive and equivalent points on a wave. Wavelength can be quantified by measuring the distance between two equivalent and consecutive points, such as the distance between two peaks or two troughs. The scientific symbol for wavelength is a Greek letter called lambda.
a woman runs a 200 m race in a time of 24.78. what is her average speed for the race?
Karissa is conducting an experiment on the amount of salt that dissolves in water at different temperatures. What can Karissa do to increase confidence in the results of her experiment? Check all that apply. Have another scientist run the same exact procedure in her lab include several other liquids for comparison e calculate the average amount of salt that dissolves to summarize findings test water temperature many times with the same procedure make sure the experiment follows a specific procedure that allows other scientists to produce the same findings
Karissa is able to determine the typical quantity of salt that dissolves, measure the water temperature repeatedly using the same technique, and ensure that the experiment adheres to a set methodology that enables repeatability.
It is crucial to adhere to good technique and create repeatable processes in order to boost trust in an experiment's findings. Karissa can make sure she is adhering to a specified set of instructions in her experiment on the solubility of salt in water at various temperatures in order to lower the possibility of bias or mistake. She can lessen the possibility of variability in her results owing to temperature variations by consistently utilising the same method to measure the water's temperature. And last, by figuring out the normal amount of salt that dissolves, she may compute an average and evaluate the accuracy of her findings. The faith in the experiment's correctness and dependability is boosted by all of these phases.
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You are pushing a box toward your friend with a force of 15 N, and your friend is pushing the box toward you with a force of 30 N. What is the net force? What direction will the box move (toward you or toward your friend)?
Answer:
A. Net force is 15 N.
B. The answer is given below.
Explanation:
The following data were obtained from the question:
Force applied by you (Fᵧ) = 15 N
Force applied by your friend (Fբ) = 30 NForce applied by you (Fᵧ) = 15 N
Force applied by your friend (Fբ) = 30 N
Net force (Fₙ) =?
A. Determination of the net force.
Force applied by you (Fᵧ) = 15 N
Force applied by your friend (Fբ) = 30 N
Net force (Fₙ) =?
Fₙ = Fբ – Fᵧ
Fₙ = 30 – 15
Fₙ = 15 N
Thus, the net force acting on the box is 15 N.
B. From the question given above, we can conclude that the box will move towards you because the force applied by your friend is greater than yours.
The electric field from a sheet of charge is perpendicular to the sheet and has a constant magnitude of Q/(Aeo), where A is the area of the sheet and Q is the charge on the sheet. If the sheet has an area, A=32.93 cm2, and a charge of 20.93 microC, what force, in nanoNewtons, would an electron experience due to this electric field?
The exercise tells us that the electric field is given by the following equation:
\(\vec{E}=\frac{Q}{A\epsilon_0}\)And it also gives us, A and Q. Thus, our electric field inside the capacitor is:
\(E=\frac{20.93*10^{-6}}{(32.93*10^{-4})*(8.85*10^{-12})}=718181521.8\frac{V}{m}\)As we know, the electric force can be written as:
\(F=q.E\)The charge of an electron is a constant, which is q=1.6*10^(-19) C.
Finally, our force can be written as:
\(F=1.6*10^{-19}*718181521.8=1.149*10^{-19}=0.00001149microN\)Our final answer is 0.00001149 micro Newtons