Answer:
Approximately [tex]7.6\; {\rm m}[/tex] while the force was applied.
Explanation:
Divide net force by mass to find acceleration:
[tex]\begin{aligned}(\text{acceleration}) &= \frac{(\text{net force})}{(\text{mass})} = 2.25\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
(Note that [tex]1\; {\rm N} = 1\; {\rm kg\cdot m\cdot s^{-2}}[/tex].)
The question states that this acceleration of [tex]a = 2.25\; {\rm m\cdot s^{-2}}[/tex] continued for [tex]t = 2.6\; {\rm s}[/tex]. Additionally, it is given that initial velocity was [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex] (initially at rest.)
Let [tex]x[/tex] denote the distance travelled. Apply the SUVAT equation [tex]x = (1/2)\, a\, t^{2} + u\, t[/tex] to find this distance:
[tex]\begin{aligned}x &= \frac{1}{2}\, a\, t^{2} + u\, t \\ &= \frac{1}{2}\, (2.25)\, (2.6)^{2}\; {\rm m} + (0)\, (2.6)\; {\rm m} \\ &= \frac{1}{2}\, (2.25)\, (2.6)^{2}\; {\rm m} \\ &\approx 7.6\; {\rm m}\end{aligned}[/tex].
estimate the radiation pressure due to a 75-w bulb at a distance of 8.0 cm from the center of the bulb. estimate the force exerted on your fingertip if you place it at this point.
At a height of 8.0 cm from the bulb's center, the radiation pressure caused by a 75-w bulb is calculated as current=watts divided by voltage=75/120=0.625 amperes.
How do you define radiation pressure class?The mechanical stress that is applied to any surface as a result of the electrical waves and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.
What does radiation pressure look like in practice?The development of cometary tail, in which dust particles ejected by cometary nuclei are driven by solar radiation into distinctive trailing patterns, is another visually striking example of radiation pressure. With the development of, it became possible to apply radiation pressure to terrestrial environments.
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Sally was removing her nail polish to get ready for a dance. She was also drinking a bottle of water. The doorbell rang and she rushed to answer it, leaving the open bottle of nail polish remover (acetone) and the bottle of water open. Sally forgot about them until the next morning and when she checked, the nail polish remover (acetone) was empty and the water looked untouched.
Sally believes the particles in water stick together more. In terms of your knowledge of the strength of electrical forces and the structure of substances, explain Sally's statement.
according to the reading examples, the net change is always the same as the net displacement for a particle in motion, moving along a straight line.
If a particle is moving along a straight line, the net change and the net displacement are always equal.
If a particle is moving along a straight line, then the net change and the net displacement are always the same. Net change is the total change in position of the particle, which is the final position minus the initial position. Net displacement, on the other hand, is the change in position of the particle in a particular direction, which is the final displacement minus the initial displacement.
When a particle moves along a straight line, the direction of its displacement is always the same as the direction of its motion. Therefore, the net displacement is simply the distance traveled by the particle in the direction of motion. And since the net change in position is also the distance traveled by the particle, the net change is always equal to the net displacement in this case.
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A player catches a ball. Consider the action force to be the impact of the ball against the player's glove: The reaction t0 this force is the A) player's grip on the glove. B) force the glove exerts on the ball. C)friction of the ground against the player's shoes D) muscular effort in the player's arms
The reaction to the action force of the impact of the ball against the player's glove is option B): "the force the glove exerts on the ball".
This is known as Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. So, as the ball exerts a force on the glove, the glove exerts an equal and opposite force on the ball, allowing the player to catch the ball. The other options listed (A, C, and D) are not directly related to the action-reaction force pair involved in the catch.
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1)Depending on the amount of water in the lake, the salinity of an ocean is 34.5 0/00, If this were the case, 1000g of this would consist of____ grams of water and ____grams of salt.
2)Describe how salinity and temperature effect the density of sea water:
(1) If this were the case, 1000g of this would consist of 965.5 grams of water and 34.5 grams of salt.
(2) Increase in either salinity or temperature leads to an increase in the density of seawater and vice versa.
What is the amount of water and salt contained?The salinity of seawater is typically measured in "parts per thousand" (ppt), which means that for every 1000 parts (by weight) of seawater, 34.5 parts are salt.
So it implies that in 1000g of seawater with a salinity of 34.5 ppt, there would be 34.5g of salt and 965.5g of water.
Salinity has a direct effect on the density of seawater because the dissolved salts in seawater increase its mass, which in turn increases its density.
Temperature also affects the density of seawater because as the temperature increases, the water molecules move faster and the spaces between them increase, leading to a decrease in the density of the water.
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The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0.
At time T, what is true of the distances traveled by the vehicles since time t = 0?
a. They will have traveled the same distance.
b. The truck will not have moved.
c. The car will have travelled further than the truck.
d. The truck will have travelled further than the car.
Based on the graphs in the figure, the motion of a car and a truck that initially alongside each other at time t = 0. And at time T, the distances traveled by the vehicles since time t = 0 is the car will have travelled further than the truck (option C)
Looking at the graph, the distance traveled by the truck and the car at time T = t is equal.
When T = t, the journey's duration and the speeds of the automobile and truck exactly match each other, as shown by the graph.
Consequently, if we take the equation into account;
V = Δs/Δt
Where;
v = velocity
s = the distance change
t = time change.
Given that the coordinates of velocity and time for the automobile and the truck match, the two objects have gone the same distance.
The area under the curve is used to calculate the mit. The truck would have traveled nearly half as far as the car, which will have traveled the greatest distance.
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The visible part of the electromagnetic spectrum can be divided into seven color bands of Red, Orange, Yellow, Green, Blue, Indigo, and Violet (from long to short wavelength). A single photon of which of these colors has the greatest amount of energy?
*e. Violet mnemonic: "ROY" G "BIV"
A single photon of violet color has the greatest amount of energy among the visible colors of the electromagnetic spectrum. This is because violet light has the shortest wavelength and the highest frequency among the visible colors.
According to the equation E = hf, where E is the energy of a photon, h is Planck's constant, and f is the frequency of the radiation ,Because the wavelengths of electromagnetic radiation are inversely proportional to their frequencies, according to the equation c = λf, where c is the speed of light, λ is the wavelength of the radiation, and f is its frequency. Therefore, photons of violet light, having the highest frequency, also have the highest energy.
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5. A spring of k-500 N/m that is initially compressed 2m is used to launch a 100N load of bricks up a 2 m tall
hill. Find the speed of the bricks at the top of the hill.
a. Qualitatively complete the energy flow diagram and the energy bar graphs.
The kinetic energy of the brick equal the elastic potential energy at the top of the hill. Using this, the speed of the brick is 14 m/s.
What is elastic potential ?The elastic potential of a spring is directly proportional to the squire of the displacement.
Then,
p = 1/2 k x²
Given that, spring constant k = 500 N/m
height of the hill x = 2 m
weight of the load = 100 N
then mass = 100N/9.8 m/s² =10.20 Kg.
At the top of the hill, kinetic energy of the hill is equal to the elastic potential.
then, 1/2 mv² = 1/2 k x²
speed v of the brick = √kx²/m
v = √(500 N/m × 2 m²/10.20 kg)
= 14 m/s.
Therefore, the speed of the brick at the top of the hill is 14 m/s.
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watch the tsunami arrival topic of the tsunami initiation animation, and pay close attention to see what happens along the beach just before the wave hits.
1. As the Tsunami wave approaches the beach, water levels will start to rise, and the ocean may appear to recede away from the shoreline.
2. The ocean may become very calm, and the surface may appear glassy.
3. Strong currents may be felt, and debris such as seaweed, branches, and shells may be seen rushing away from the shoreline.
4. Animals such as birds may be seen fleeing from the shoreline, and a loud roar may be heard as the wave approaches.
5. The wave will eventually reach the beach, and the water levels will quickly rise to a high level. The wave will then crash into the shore, causing destruction and flooding.
What is a Tsunami?A Tsunami is a powerful series of ocean waves caused by an underwater disturbance, such as an earthquake, volcano, or landslide. These waves travel across the ocean at high speeds and can reach up to hundreds of feet in height when they reach coastlines, causing severe flooding and destruction. Tsunamis are also known as seismic sea waves, and they can occur anywhere in the world.As the wave energy travels, it causes the sea level to rise and creates a “wave” that can travel up to 500 miles per hour. Tsunamis can reach heights of up to 100 feet and can cause extensive damage to coastal areas. The strength of the wave depends on the intensity of the earthquake or eruption that caused it.
Tsunamis usually arrive onshore suddenly and without warning, leaving little time for people to evacuate to safety and are often accompanied by strong currents and large amounts of debris, making them even more destructive.
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Which of the following sets of quantum numbers represents the highest energy of an atom?A. n = 3, l = 0, m = 0, s = +1/2B. n = 3, l = 1, m = 1, s = +1/2C. n = 3, l = 2, m = 1, s = +1/2D. n = 4, l = 0, m = 0, s = +1/2
(c) n=3,1=2,m=1,s=+1/2 this set of quantum number represents the highest energy of atom
Correct option is C)
The sets of the quantum numbers and the corresponding orbitals are as shown below.
a)n=3,l=0 means 3s− orbital
b)n=3,l=1 means 3p− orbital
c)n=4,l=2 means 4d− orbital
d)n=4,l=0 means 4s− orbital
Increasing order of energy among three orbitals is 3s<3p<4s<4d
∴4d has highest energy.
Hence, the set c of quantum numbers (n=4,l=2,m=1,s=+1/2) represents the highest energy of an atom.
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Can anyone solve this
Answer:
sorry I'm not smart
Explanation:
the bolts on the cylinder head of an engine require tightening to a torque of 84 m n. if a wrench is 28 cm long, what force perpendicular to the wrench must the mechanic exert at its end
300 N of force must be applied by the mechanic perpendicular to the end of the wrench.
The SI unit of force is what?The SI unit of force is the newton, denoted by the letter N. Base units that are pertinent to force are: The symbol for the length unit of a metre is m. the kilogramme (kg), a unit of mass. S represents the second, a measure of time.
The following formula can be used to resolve this issue:
Torque equals force times distance times sin (angle), where:
Torque is the 84 mN desired torque.
Force is the unknowable force that we must discover.
Distance is the length of the wrench in meters, which is 0.28 m
Angle is the angle between the wrench and the direction of the force, which is 90 degrees for a perpendicular force (sin(90) = 1)
Plugging in the values, we get:
84 mN = Force x 0.28 m x 1
Solving for Force, we get:
Force = 84 mN / 0.28 m
Force = 300 N
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If a lining is ciliated, what is it covered in?
mucous
O
Oskin
Ogrooves
hair
If a lining is ciliated, then it is covered in hair. Thus, the correct option is D.
What is Ciliated lining?Cilia are the small, slender, hair-like structures which are present on the surface of all the mammalian cells. They are primitive in nature and could be single or many types.
Cilia play a major role in the locomotion of body parts. Cilia are also involved in the mechanoreception. The organisms which possess the cilia are known as ciliates.
The bronchus present in the lungs are lined with the hair-like projections called cilia which move the microbes and debris up and out of the airways in the respiratory tract. Scattered throughout the cilia are the goblet cells which secrete mucus that helps in protection of the lining of the bronchus and trapping the microorganisms.
Therefore, the correct option is D.
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Answer:
It's hair!
Explanation:
I got it right on me test~
true/false. living cells contribute to the turbidity of a culture, but cells also contribute to the turbidity of a culture, which is a disadvantage of the indirect spectrophotometer method.
The given statement " Living cells contribute to the turbidity of a culture, and this contribution can be a disadvantage of the indirect spectrophotometer method, is True.
The indirect spectrophotometer method, which measures the turbidity of a culture to estimate cell density, assumes that the only contributor to turbidity is the cells themselves. However, other factors such as debris, bubbles, and extracellular materials can also contribute to the turbidity, leading to inaccuracies in cell density measurements. In microbiology, turbidity is a measure of the cloudiness or haziness of a liquid culture, and it is often used as an indirect measure of cell density. The more cells there are in the culture, the more turbid it will appear.
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HELPPP A wave with an amplitude of 0.25m intereferes with a wave with an amplitude of 1m. What
is the resulting amplitude? Draw the waves before the interference and after the
interference in the show your work section.
The resulting amplitude of the two waves is 1.25 m
What happens when two waves of different amplitudes interfere?When two waves of different amplitudes interfere, the resulting wave pattern is determined by the relative phase and amplitude of the two waves. If the two waves are in phase, meaning that their peaks and troughs line up, they will reinforce each other and produce a wave with a larger amplitude. This is known as constructive interference.
In this case the amplitude of the resulting wave would be a combination of two amplitudes of the waves and that would be 1.25 m
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in the circus, a clown is launched from a cannon at 40 m/s, 60o from the horizontal. where should the other clowns hold the net so that the projectile clown lands unharmed (at the same level)
In order for the clown to land unharmed, the other clowns should hold the net at a point along the trajectory of the clown that is equal to the launch height of the clown.
The point can be calculated using the following equation:
Distance = velocity × time
Where velocity = 40 m/s and time = 2(velocity × sin(60o))/9.8 (where 9.8 is gravitational acceleration).
Therefore, the distance = 40 m/s × 2(40 m/s sin(60o))/9.8 = 80 m.
The other clowns should aim to place the net at a point that is 80 meters away from the cannon and at a height of 40 meters. This point should correspond to the apex of the trajectory, which is the highest point that the clown will reach when launched. The clowns should also make sure that the net is held at an angle of 30 degrees with respect to the horizontal, to ensure that the clown lands safely at the same level where it was launched.
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Consider the two vectors A and B. You know the magnitudes of these vectors (lmand 10 m respectively), but you do not know anything about their directions ca ment Status here for 9 H a vector is defined to be the sum of these two vectors CHA+B) which of the following are true about the magnitude of C7 Choose all that apply C. cannot be determined Grade Summary Cain
A. The magnitude of C can be determined.
D. The magnitude of C is between 1m and 10m.
When two vectors are added, the magnitude of the resulting vector can be found using the law of cosines. For the vectors A and B, the magnitude of their sum C is given by:
|C|² = |A|² + |B|² + 2|A||B|cosθ,
where θ is the angle between the vectors A and B. Since the directions of A and B are unknown, θ could take any value between 0 and 180 degrees. However, the minimum value of cosθ is -1, which occurs when θ = 180 degrees. Therefore, the minimum magnitude of C is:
|C|min = |A| - |B| = 1 m - 10 m = 9 m.
The maximum value of cosθ is 1, which occurs when θ = 0 degrees. Therefore, the maximum magnitude of C is:
|C|max = |A| + |B| = 1 m + 10 m = 11 m.
Therefore, the magnitude of C is between 1m and 10m, and it can be determined.
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correct question
Which of the following statements are true about the magnitude of the vector C, which is defined as the sum of two given vectors A and B with magnitudes 1m and 10m respectively, but unknown directions? (Choose all that apply.)
A. The magnitude of C can be determined.
B. The magnitude of C is less than 10m.
C. The magnitude of C is less than 1m.
D. The magnitude of C is between 1m and 10m.
E. The magnitude of C is greater than 11m.
Calculate the kinetic energy (in joules) of a 108kg women running at a speed of 8m/s.
Answer:
KE = 3456 J
Explanation:
Two copper wires are labeled A and B. A is twice as long and has twice the diameter of B. Which of the following statements is true?
B and A have the same resistance.
B has twice the resistance of A.
B has 1/2 the resistance of A.
B has 4 times the resistance of A.
A wire's resistance is inversely correlated with its cross-sectional area and inversely proportional to its length. Wire A will therefore have four times the area of Wire B if it is twice as long and twice as thick.
Why does a wire's resistance have an inverse relationship to its cross-section area?The distance between charged particles will increase as the conductor's cross-sectional area does. As a result, there will be less chance of electron collisions. As a result, resistance will decrease as the conductor's cross-sectional area increases.
What relationship exists between a wire's cross-sectional area and wire resistance?It is inversely related to the wire's cross-sectional area. The resistance decreases with increasing wire cross-section area and increases with decreasing cross-section area.
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Express the results of the following calculations in SI base units.
1. 40 × 107 nm - 4 MJ
dm
2. 13 PW 3 ns. 1 x 10³ Hz
The calculations in SI base units of 40 × 107 nm - 4 MJ dm will be [tex]13 X 10^1^5 W[/tex].
What is SI unit?The present version of the metric system is called the International System of Units, also referred to as the SI system and abbreviated SI in all languages.
40 × 107 nm - 4 MJTo convert the first quantity, 40 × 107 nm, to SI base units, we need to express it in meters (m).
Since 1 nm = [tex]10^{-9}[/tex] m, we can multiply 40 × 107 nm by [tex]10^{-9}[/tex] to obtain:
40 × 107 nm * [tex]10^{-9}[/tex] m/nm = 40 × 107 * [tex]10^{-9}[/tex] m = 4 × [tex]10^{-2}[/tex] m
Next, to convert the second quantity, 4 MJ, to SI base units, we need to express it in joules (J). Since 1 MJ = [tex]10^{6}[/tex] J, we can multiply 4 MJ by [tex]10^{6}[/tex] to obtain:
4 MJ x [tex]10^{6}[/tex] J/MJ = 4 x [tex]10^{6}[/tex] J = 4 × [tex]10^{6}[/tex] J
So, the expression 40 × 107 nm - 4 MJ can be expressed in SI base units as:
4 ×[tex]10^{-2}[/tex] m - 4 × [tex]10^{6}[/tex] J
13 PW 3 ns. 1 x 10³ HzTo convert the first quantity, 13 PW, to SI base units, we need to express it in watts (W). Since 1 PW = [tex]10^{15}[/tex] W, we can multiply 13 PW by [tex]10^{15}[/tex] to obtain:
13 PW x [tex]10^{15}[/tex] W/PW = 13 x [tex]10^{15}[/tex] W = 13 × [tex]10^{15}[/tex] W
Next, to convert the second quantity, 3 ns, to SI base units, we need to express it in seconds. Since 1 ns = [tex]10^{-9}[/tex] s, we can multiply 3 ns by [tex]10^{-9}[/tex]to obtain:
3 ns x [tex]10^{-9}[/tex] s/ns = 3 x [tex]10^{-9}[/tex] s = 3 × [tex]10^{-9}[/tex] s
Finally, to convert the third quantity, 1 x 10³ Hz, to SI base units, we need to express it in hertz (Hz). Since the value is already in Hz, we don't need to perform any conversions:
1 x 10³ Hz = 1 × [tex]10^3[/tex] Hz
Thus, the expression 13 PW 3 ns. 1 x 10³ Hz can be expressed in SI base units as: 13 × 10^15 W * 3 × 10^(-9) s * 1 × 10^3 Hz.
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Which type of energy is stored in molecules that make up gasoline? A. Sound energy B. Electromagnetic energy C. Nuclear energy D. Chemical energy
What is the answer and how to get to that answer what is the equation
The gravitational force between the ball of mass 100 Kg and earth at a distance of 6.38 × 10⁶ m is 979.9 N.
What is gravitational force?The gravitational force is the force by which an object attracts other object into its center of mass. The gravitational force depends on the masses of the objects and distance between them by the equation written below:
Fg = G m1 m2/r²
where G is the universal gravitational constant equal to 6.67 × 10⁻¹¹ N/kg²m²
The gravitational force is given 2.30 ×10⁻⁸ N.
distance between the objects = 10 m.
then Fg = 6.67 × 10⁻¹¹ N × (100 kg × 5.98 ×10²⁴ kg)/(6.38 × 10⁶ m)² = 979.9 N
Therefore, the gravitational force between the ball and earth is 979.9 N. IN similar way, the force between any two objects can be determined using the given distance and mass.
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a sine wave is a periodic signal that question 9 options: 1) can be measured in terms of it's amplitude, frequency and phase 2) has equal phase, frequency and amplitude 3) is digital or analog 4) has a maximum peak amplitude equal to it's frequency
A sine wave is a periodic signal that can be measured in terms of it's amplitude, frequency and phase.
Sine waves have equal phase, frequency, and amplitude. The phase of a sine wave determines its position relative to a reference point in time, and a sine wave always starts at zero phase. The frequency of a sine wave is the number of cycles it completes in one second, and the amplitude of a sine wave is the maximum value it reaches. In a pure sine wave, these three properties are constant and equal.
Sine waves are analog signals and are commonly used in communication systems, audio and video processing, and electronic signal processing. They are also used in scientific and engineering applications, such as vibration analysis, acoustics, and control systems.
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--The complete question is, a sine wave is a periodic signal that, 1) can be measured in terms of it's amplitude, frequency and phase 2) has equal phase, frequency and amplitude 3) is digital or analog 4) has a maximum peak amplitude equal to it's frequency--
An 8.90-kg block of ice, released from rest at the top of a 1.15-meter long frictionless ramp, slides downhill, reaching a speed of 2.87 m/s at the bottom.
What would be the speed of the ice at the bottom if the motion were opposed by a constant friction force of 11.0 N parallel to the surface of the ramp?
I have already solved the angle of the ramp, it is 21.4 degrees.
Answer:
2.32 m/s
Explanation:
If an 8.90 kg block of ice slides down a 1.15 m frictionless ramp to reach a speed of 2.87 m/s, you want to know its final speed if there were friction opposing the motion with a force of 11.0 N.
EnergyThe kinetic energy at the bottom of the frictionless ramp is ...
KE = 1/2mv²
KE = 1/2(8.90 kg)(2.87 m/s)² = 36.654205 J
FrictionWhen friction is introduced, the work done to oppose the friction is ...
W = Fd
W = (11 N)(1.15 m) = 12.65 J
Hence the remaining energy of the block at the bottom of the ramp with friction is ...
KE' = 36.654205 -12.65 J = 24.004205 J
This corresponds to a speed of ...
v = √(2·KE/m) = √(2·24.004205/8.9) ≈ 2.32 . . . . m/s
The speed at the bottom of the ramp with friction is about 2.32 m/s.
__
Additional comment
We can find the slope of the ramp by equating the ending kinetic energy to the beginning potential energy. As you can see, that is not relevant to the problem, since the opposing force is parallel to the ramp.
What part of acceleration formula represents the time has passed?
The general formula for acceleration is:
[tex]a = (v_f - v_i) / t[/tex]
where a is the acceleration, [tex]v_f[/tex] is the final velocity[tex], v_i[/tex] is the initial velocity, and t is the time interval during which the change in velocity occurs.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity that is defined as the change in velocity divided by the time interval during which the change occurs. Acceleration can be positive, negative, or zero, and it is measured in units of meters per second squared [tex](m/s^2).[/tex]
To find the time that has passed given the acceleration formula, we would need to rearrange the formula to solve for time "t" in terms of the other variables. For example, if we know the initial velocity, final velocity, and acceleration, we can use the formula to find the time interval during which the velocity changes.
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suppose that earth's spin would suddenly reverse direction, but the direction of earth's motion around the sun was preserved. which of the following changes would you expect to observe?
The east would be the location of the Sun's rising and setting are the changes would you anticipate seeing.
Annual motion is the term used to describe variations in the position of the stars in the sky.Annual motion, which is a direct result of the Earth's rotation around the sun, is the visible yearly move of the stars as seen from Earth. The ecliptic is a line on the surface of a sphere around which the revolves around the sun 360 degrees each year.
The stars seem to rise with in east as set in the west, but why is that so?We, the watchers on Earth, whirl past this foreground of far-off stars as the planet rotates on its axis. The stars seem to travel throughout our darkness of space from east to west as Earth spins for the same reason.
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Derive the expression for the RMS pressure of a square wave and a triangular wave. Compare the value of the RMS pressure for sinusoidal, square and triangular waves. Assume all three waves have the same period and amplitude and all have zero mean values
Answer:
Explanation:
The Root Mean Square (RMS) pressure of a waveform can be defined as the square root of the average of the square of the pressure values over one period of the wave. The RMS pressure provides a measure of the effective pressure of a waveform and is often used to compare the strength of different waveforms.
For a square wave, the RMS pressure can be found as follows
P_RMS = sqrt((1/T) * ∫_0^T (P_square(t))^2 dt)
Where T is the period of the waveform and P_square(t) is the pressure value of the square wave at time t. The integral is taken over one period of the waveform.
For a triangular wave, the RMS pressure can be found as follows:
P_RMS = sqrt((1/T) * ∫_0^T (P_triangular(t))^2 dt)
Where T is the period of the waveform and P_triangular(t) is the pressure value of the triangular wave at time t. The integral is taken over one period of the waveform.
The RMS pressure of a sinusoidal wave is given by the equation:
P_RMS = (A/sqrt(2))
Where A is the amplitude of the waveform.
Comparing the RMS pressures of the three waveforms, it can be seen that the RMS pressure of a sinusoidal wave is (A/sqrt(2)) which is smaller than the RMS pressure of a square wave or a triangular wave. This is because the square wave and triangular wave have sharper transitions from positive to negative values compared to the sinusoidal wave, which results in higher peak pressure values and hence a higher RMS pressure.
It is worth noting that while the RMS pressures of the three waveforms are different, they provide a measure of the effective pressure of the waveforms and can be used to compare their strengths.
Here is a definition of each variable used in the equation:
P_RMS: The Root Mean Square (RMS) pressure of the waveform. It is a measure of the effective pressure of the waveform.
T: The period of the waveform. It is the time it takes for the waveform to repeat itself.
P_square(t): The pressure value of the square wave at time t.
P_triangular(t): The pressure value of the triangular wave at time t.
∫_0^T: The integral symbol. It represents the sum of the pressure values over one period of the waveform, from time t = 0 to time t = T.
A: The amplitude of the waveform. It is the maximum positive or negative deviation from the zero line of the waveform.
sqrt: The square root symbol. It is used to find the square root of a value.
(A/sqrt(2)): The RMS pressure of a sinusoidal wave. It is calculated as the amplitude divided by the square root of 2.
A transport plane takes off from a level landing field with two gliders in tow, one behind the other. The mass of each glider is 700 , and the total resistance (air drag plus friction with the runway) on each may be assumed constant and equal to 2800 . The tension in the towrope between the transport plane and the first glider is not to exceed 12000 . Part A If a speed of 40 is required for takeoff, what minimum length of runway is needed? Express your answer using two significant figures. Part B What is the tension in the towrope between the two gliders while they are accelerating for the takeoff? Express your answer using two significant figures. Please try to explain how you get to the answer. Don't just give the answer alone. Thank you!
The maximum length of runway needed and tension in the towrope will be 175.05 m and 5999N.
For solving this question we will use the laws of Kinematics as well as the Newton's Laws of Motion. According to the third law of Kinematics
v² = u² + 2aS ; where v is the final velocity, u is the initial velocity, a is the acceleration and S is the displacement.
According to Newton's Laws of Motion we know that the net force is equal to product of mass and acceleration that is
F = ma ; where F is net force, m is mass of the body and a is the acceleration.
Now, form the free body diagram of the gliders, we balance the forces by Newton's law of motion as:
For glider 1 the forces in x axis will be:
T₁ - T₂ - f = ma ......(1)
where T₁ and T₂ are tensions on glider 1 and 2 respectively and f is the frictional force.
In y axis the forces will be:
N₁ - W = 0 ; where N₁ is the normal on first glider and W is the weight due to gravity.
For glider 2 the forces in x axis will be:
T₂ - f = ma ......(2)
where T₂ is tensions on glider 2 and f is the frictional force.
In y axis the forces will be:
N₂ - W = 0 ; where N₂ is the normal on second glider and W is the weight due to gravity.
From equation (1) and (2) we get
T₁ - 2f = 2ma
a = T₁ - 2f/2m
a = 12000 - 2(2800)/2(700)
a = 6400/1400
a = 4.57 m/s²
Now from laws of Kinematics we have
v² = u² + 2aS; here the initial velocity is zero so u = 0 and v = 40 m/s
(40)² = 0 + 2 × 4.57 × S
S = 1600/9.14
S = 175.05 m
Now for the tension in the second rope of glider we use equation (2) that is
T₂ - f = ma
T₂ = ma + f
T₂ = 700 × 4.57 + 2800
T₂ = 3199 + 2800
T₂ = 5999 N
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what is a biotic animal that lives in two terrestrial ecosystems
Answer: A bear
Explanation:
I think it is a bear because in the North pole it swims to get food and walks in land to hide.
A SOLID OF MASS 1.3KG Suspended by a spring Is Completely Immersed in H₂0. If the tension in the spring is 6N. Calculate: a. upthrust on the solid b. the volume of the solid c. Density (take g=10m/s², density of H₂0= 1000kg/m³)
a. Upthrust on the solid:
[tex]Upthrust = volume of solid * density of fluid * g = 1000 kg/m^3 * volume of solid * 10 m/s^2[/tex]
b. Volume of the solid:
[tex]volume = mass/density = 1.3 kg / (1000 kg/m^3) = 1.3 x 10^-3 m^3[/tex]
c. Density of the solid:
So,[tex]density = mass/volume = 1.3 kg / (1.3 x 10^-3 m^3) = 1000 kg/m^3[/tex]
What is upthrust?Upthrust is the upward force exerted on an object immersed in a fluid. It is equal to the weight of the fluid displaced by the object and acts in the opposite direction to gravity. Upthrust helps to counteract the weight of the object and keep it afloat.
a. The upthrust on an object immersed in a fluid is equal to the weight of fluid displaced by the object. The weight of fluid displaced can be calculated using the formula:
Weight of fluid = volume of fluid * density of fluid * g
Since the solid is completely immersed in water, the volume of the fluid displaced is equal to the volume of the solid. The density of water is given as 1000 kg/m^3, and the acceleration due to gravity is given as[tex]10 m/s^2.[/tex]
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