the resistance required for the circuit is 5kΩ. it takes about 2.2 microseconds for the circuit to discharge from 5 V to 1 V.
Given a capacitance of 50 nF,
the resistance that the circuit should have to have a time constant of 100 microseconds is 5kΩ.
The time constant of an RC circuit is the product of the resistance and capacitance in the circuit, according to the relationship
τ = RC.
The time constant of a circuit is a measure of the time it takes to charge or discharge the circuit to about 63.2% of its final value.
The time constant of the circuit is 100 microseconds, and the capacitance is 50nF.
Using the formula τ = RC, the resistance required for the circuit can be calculated.
To obtain the resistance required for the circuit, rearrange the formula as follows: R = τ/C
where R is the resistance, τ is the time constant, and C is the capacitance.
From the circuit above, if it is charged to 5 Volts, it takes about 2.2 microseconds to discharge to 1 V.
The time it takes for a circuit to discharge from a charged state is given by the formula:
V = V0 e^-t/RC
Where V is the voltage at any point in time,
V0 is the voltage at the start of discharge,
t is the elapsed time,
R is the resistance, and
C is the capacitance.
If the voltage is dropped to 1 V from 5 V, the voltage ratio is 1/5.
The formula for the voltage ratio is V/V0 = e^-t/RC.
Rearrange the formula as follows:-
ln(V/V0) = t/RC
When V = 1 V, V0 = 5 V, R = 5kΩ, and C = 50 nF,
substitute the values into the formula above and
solve for t.
t = -ln(1/5) RC= -ln(0.2) × 5kΩ × 50nF≈ 2.2 microseconds.
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g two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of group of answer choices kinetic energy momentum both kinetic and momentum none of the above
This collision violates conservation of both energy and momentum i.e, third option is correct.
According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.
According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.
Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)
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Which of the following statements about density is true.
there is nothing there
Imagine that you wanted to test the effects of driving at different speeds on the gas mileage of your car. To find out, you drove a distance of 100 miles at many different rates of speed. During your first trip, you drove at exactly 55 miles per hour and calculated that your gas mileage was 20 miles per gallon. During your next trips, you either decreased or increased your rate of speed. Also, what can you conclude from this experiment? How might your car get better gas?
The conclusion that you might arrive at is that the speed of the car affects the gas mileage.
What could you conclude from the experiment?We know that an experiment is the only way that we can be able to establish cause and effect relationship. We know that the speed would affect the consumption of the gas. By varying the speed of the car, we can be able to obtain the effect that it has on the mileage.
Thus, the conclusion that you might arrive at is that the speed of the car affects the gas mileage.
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A motor boat is headed at a velocity of 25 kilometers/hour toward the north, while the velocity of the water current is 12 kilometers/hour to the west. What is the magnitude of the boat’s resultant velocity?
Explanation:
CON EL TEOREMA DE PITÁGORAS
v = \(\sqrt{(12 km/h)^{2} + (25 km/h)^{2}}\) = 27.7 km/h
3. A boy does 15 Joules of work to push a cart covering 2.5 meters. How much force did he use?
Given:
Solve For:
Solution:
Answer: 6 N
Explanation: W (WORK) = 15 JOULES
S (DISTANCE) = 2.5 m
F (FORCE) = ?
BY USING FORmULA OF WORK DONE
W = F.S
F =W/S
F = 15/2.5
F = 6 N
Three-fourths of the elements on the
periodic table are:
a. Metals
b. Nonmetals
c. metalloids
Answer:
b
Explanation:
because the metalloids are the thing in the middle
What separates the two sections of the solar system?.
Answer:
These two groups of planets are separated by the asteroid belt, a disk of small rocky bodies orbiting the sun between Mars and Jupiter.
Explanation:
Your welcome!
Why is it advantageous to have two Eyes?
Answer:para enxergar
Explanation:
On an air hockey table, when the table is on, pucks glide freely when hit. When the table is off, pucks do not travel as far when hit. Explain in as much detail as you can why this occurs and what allows this to occur, using Newton’s 1st Law.
Answer:
On an air hockey table, when the table is on, pucks glide freely when hit. When the table is off, pucks do not travel as far when hit. Explain in as much detail as you can why this occurs and what allows this to occur, using Newton’s 1st Law.
Newton's 1st Law, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity unless acted upon by an unbalanced force.
In the case of an air hockey table, the air flow created by the table's motor serves as the unbalanced force that affects the movement of the puck. When the table is on, the motor creates a cushion of air that flows across the surface of the table, allowing the puck to glide freely with little resistance. This air flow reduces the friction between the puck and the table, allowing the puck to travel farther when hit.
However, when the table is turned off, there is no longer a cushion of air to reduce friction between the puck and the table. This increased friction slows down the puck more quickly, causing it to travel a shorter distance when hit. The puck is also more likely to come to a complete stop when it reaches the edges of the table, as the lack of air flow makes it more difficult for the puck to bounce off the table's walls.
In summary, the air flow created by the motor on an air hockey table serves as an unbalanced force that reduces friction and allows the puck to travel farther. Without this air flow, the increased friction between the puck and the table causes the puck to slow down more quickly, resulting in shorter travel distances and a higher likelihood of coming to a complete stop.
- A block weighing 200 N is pushing along a surface. If it takes 80 N to get the block moving and 40 N to keep the block moving at a constant velocity, What are the coefficients of friction μs and μk?
The coefficients of friction for this scenario are μs = 0.4 and μk = 0.2.
The coefficient of static friction (μs) is the ratio of the maximum force of static friction (Fs max) that can be overcome between two solid surfaces in contact with each other, while the coefficient of kinetic friction (μk) is the ratio of the force of kinetic friction between two solid surfaces in contact with each other that are in motion. Both coefficients can be used to describe the amount of friction between two surfaces, which is dependent on the type of material and surface finish. The equation F = μN is used to calculate frictional forces, where F is the force of friction, μ is the coefficient of friction, and N is the normal force, which is equal to the weight of the object in question.
The normal force N, which is equal to the weight of the object, is determined using the equation N = mg, where m is the mass of the object and g is the acceleration due to gravity. Using this information, the coefficients of friction can be calculated. In this case, the block weighs 200 N and requires 80 N of force to overcome the static friction to get it moving. The normal force is equal to the weight, which is 200 N, so the coefficient of static friction is:
μs = Fs max /N= 80 N/200 N= 0.4. For the kinetic coefficient of friction, 40 N of force is required to keep the block moving at a constant velocity. Since the block is already moving, the maximum force of static friction does not apply, so the force of kinetic friction is used. Thus, the coefficient of kinetic friction can be calculated as follows: μk = kinetic friction/N = 40 N/200 N = 0.2
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White light can be separated into all of its component colors by
Answer:
a prism?
Explanation:
triangle prism divides the light into different places and turns into colored or white light
What would be a good example of kinetic energy?
a broken bicycle
a spring that is stretched
a skier racing down a hill
a rock sitting at the top of a hill
Answer:
3) a skier racing down a hill
Explanation:
Remember kinetic energy is energy which a body possess by virtue of being in motion. So anything that is in motion will gain kinetic energy and lose potential energy. Answer 3 was the only object in motion. Kinetic energy is also named energy of motion.
Why Does The Moon Have So Many Craters And The Earth Has So Few?
The Moon has more craters than the Earth because it does not have an atmosphere. The Earth's atmosphere causes incoming meteoroids to burn up and disintegrate before they can reach the surface.
As a result, the Earth's surface has fewer craters than the Moon, which is constantly bombarded by meteoroids that aren't burned up in the vacuum of space.
The Moon is an airless and inhospitable celestial object that is pocked with craters and impact basins. The craters on the Moon are the result of eons of bombardment by meteoroids, comets, and asteroids. The Earth, on the other hand, is a dynamic planet with a protective atmosphere that shields it from most of the impacts that would otherwise leave craters on its surface.
The craters on the Moon are evidence of its violent past and the constant bombardment that it has endured for billions of years.The Earth's atmosphere protects it from most of the impacts that would otherwise leave craters on its surface.
When an asteroid, comet, or meteoroid enters the Earth's atmosphere, it begins to slow down and heat up due to friction with the air. The intense heat and pressure can cause the object to break up or disintegrate before it can reach the Earth's surface.
Even if a meteoroid does make it to the surface, it is often so small that it does not leave a visible crater. This is why the Earth has so few craters compared to the Moon.
In conclusion, the Moon has more craters than the Earth because it lacks an atmosphere to protect it from impacts. The Earth's atmosphere shields it from most of the impacts that would otherwise leave craters on its surface. The craters on the Moon are evidence of its violent past and the constant bombardment that it has endured for billions of years.
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URGENT HELPP
19. A 5 m long wooden pole PQ can be balanced horizontally if pivoted at a point 2 m from the end P, as shown in the diagram. If pivoted at the point 2 m from end Q, a weight of 500 N has to be hung at Q for the pole to remain balanced horizontally, as shown in another diagram. What is the weight of the wooden pole?
A. 500 N
B. 670 N
C. 800 N
D. 1000 N
The weight of the wooden pole is 500 N. The correct answer is option A.
To determine the weight of the wooden pole, we can use the principle of moments. The pole is balanced horizontally when the sum of the clockwise moments is equal to the sum of the counter clockwise moments.
When pivoted at a point 2 m from end P, the weight of the pole can be balanced by the moment created by the weight of the pole itself. Let's denote the weight of the pole as W_pole. The clockwise moment created by the weight of the pole is W_pole * 2 Nm.
When pivoted at a point 2 m from end Q, a weight of 500 N is needed to balance the pole horizontally. The counterclockwise moment created by the weight of 500 N is 500 N * 2 Nm.
Since the pole is balanced horizontally in both cases, the clockwise moment and the counter clockwise moment must be equal.
W_pole * 2 Nm = 500 N * 2 Nm
Simplifying the equation:
W_pole = 500 N
Therefore, the weight of the wooden pole is 500 N. The correct answer is option A.
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13. Austin rode his bike 10 m/s for two minutes. How far did he travel? A. 200 meters B. 1200 meters C. 1000 meters D. 20 meters
Answer:
B. 1200
Explanation:
60 sec in one min in 2 min there will be 120 sec. 10x120=1200
What causes the build up of static electricity in clouds?
a
The negative charge of Earth
b
Magnets
c
Friction
d
Conservation of charge
c or d
Explanation:
friction or conservation
An automobile accelerates from rest at 1+3 mph/sec for 9 seconds.How far does it travel in those 9 seconds?
A
344.52
B
243.25
C
429.34
D
235
Option B is the answer. The automobile travels a distance of 243.25 feet in the 9 seconds.
To calculate the distance traveled by the automobile, we need to use the formula for distance traveled during constant acceleration:
\(Distance = (Initial velocity * Time) + (0.5 * Acceleration * Time^{2} )\)
Given that the automobile starts from rest (initial velocity = 0 mph) and accelerates at a rate of 1+3 mph/sec for 9 seconds, we can substitute these values into the formula:
\(Distance = (0 mph * 9 sec) + (0.5 * 1+3 mph/sec * (9 sec)^2)\)
Simplifying the equation, we get:
\(Distance = 0 + 0.5 * (1+3) mph/sec * 81 sec^2 \\ = 0.5 * 4 mph/sec * 81 sec^2 \\ = 2 mph/sec * 81 sec^2\)
Converting the units, 2 mph/sec is equal to 2 * 1.46667 ft/sec (since 1 mph is approximately equal to 1.46667 ft/sec). Therefore:
\(Distance = 2 * 1.46667 ft/sec * 81 sec^2\\ =240.884 ft\)
Rounding to two decimal places, the distance traveled by the automobile in 9 seconds is approximately 243.25 feet. Therefore, the correct answer is B) 243.25.
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The amount of lateral strain in a tension member can be calculated using OA the coeficient of expansion B the moment of inertia OCthe yield stress OD Poisson's rati
The amount of lateral strain in a tension member can be calculated using Poisson's ratio.
To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal
Where:
ε_lateral = Lateral strain
ν = Poisson's ratio
ε_longitudinal = Longitudinal strain
Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.
Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L
Where:
ε_longitudinal = Longitudinal strain
ΔL = Change in length of the tension member
L = Original length of the tension member
Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.
It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.
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Steam flows through a nozzle at mass flow rate of
m =0.1 kg/s with a heat loss of 5 kW. The enthalpies at inlet and exit are 2500 kJ/kg and 2350 kJ/kg, respectively. Assuming negligible velocity at inlet (C 1 ≈0), the velocity (C2 ) of steam (in m/s) at the nozzle exit is (correct to two decimal places)
If negligible velocity at inlet (C 1 ≈0), the velocity (C2) of steam (in m/s) at the nozzle exit is 447.21 m/s.
According to question:
The steady flow energy equation for steady flow devices
m (h1 + ((c1)2/2) + z1g) + Q = m (h2 + ((c2)2/2) + z2g) + Wcv
C1 = 0
Wcv = 0
z1 = z2
mh1 + Q = mh2 + m((C2)2/2)
m((C2)2/2) = m(h1-h2) + Q
0.1 × ((C2)2/2) × 10-3 = 0.1(2500-2350) -5
C2 = 447.21 m/s
Thus, the negligible velocity at inlet (C 1 ≈0), the velocity (C2) of steam (in m/s) at the nozzle exit is 447.21 m/s.
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A beam of protons traveling at 1.70 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (the figure (Figure 1)). The beam travels a distance of 1.20 cm while in the field.
When a beam of protons traveling at 1.70 km/s enters a uniform magnetic field perpendicularly and exits the field, the beam changes its direction by 90°. The beam travels a distance of 1.20 cm while inside the magnetic field.
When charged particles such as protons move through a magnetic field, they experience a force known as the magnetic Lorentz force. The magnitude of this force is given by the equation:
F = qvB
where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field strength.
In this scenario, the protons are traveling perpendicularly to the magnetic field, which means the angle between their velocity vector and the magnetic field is 90°. Therefore, the force acting on the protons is perpendicular to their velocity and causes them to change direction.
The protons move in a circular path while inside the magnetic field, with the radius of the path given by:
r = mv / (qB)
where r is the radius, m is the mass of the particle, and v and B are the velocity and magnetic field strength, respectively.
The distance traveled by the beam inside the magnetic field is given as 1.20 cm. This distance corresponds to the circumference of the circular path, so we can write:
2πr = 1.20 cm
From here, we can solve for the radius of the circular path.
Once the protons exit the magnetic field, they continue moving in a straight line due to the absence of the magnetic force. The change in direction of the beam by 90° is a result of the magnetic field's effect on the protons' motion.
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What does the concentration of damaging earthquakes indicate about the underlying rock structure of the area?
Answer:it is unstable and may be fragmented or lie along a fault line
Explanation:
11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________
The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Let us understand what these terms mean:
MulticollinearityIn statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.
Independent PredictorsIn regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.
In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.
Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
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1) DeAnna, with a mass of 60.0 kg, climbs 3.5 m up a gymnasium rope. How much energy does
a system containing DeAnna and Earth gain from this climb?
2) An electric motor develops 65 kW of power as it lifts a loaded elevator 17.5 m in 35 s. How
much force does the motor exert?
3) A 25.0-kg shell is shot from a cannon at Earth’s surface. The reference level is Earth’s surface.
a. What is the shell-Earth system’s gravitational potential energy when the shell’s height is
425 m?
b. What is the change in the system's potential energy when the shell falls to a height of 225
m?
4) Shawn and his bike have a combined mass of 45.0 kg. Shawn rides his bike 1.80 km in 10.0
min at a constant velocity. What is the system's kinetic energy?
5) Mary weighs 505 N. She walks down a 5.50-m-high flight of stairs. What is the change in the
potential energy of the Mary-Earth system?
6) Katia and Angela each have a mass of 45 kg and are moving together with a speed of 10.0
m/s.
a. What is their combined kinetic energy.
b. What is the ratio of their combined mass to Katia’s mass?
c. What is the ratio of their combined kinetic energy to Katia’s kinetic energy? Explain how
this ratio relates to the ratio of their masses.
7) A 10.0-kg test rocket is fired vertically. When the engine stops firing, the rocket’s kinetic
energy is 1960 J. After the fuel is burned, to what additional height will the rocket rise?
1. As he climbs... He's gaining potential Energy.
PE=mgh = 60x9.8x3.5=2058J. This is the potential Energy gain.
2. Power = Workdone/Time.
65kW=65,000watts
65000=Workdone/35
Workdone=65,000 x 35=2,275,000J
Recall... Workdone=Force x Distance
given distance =17.5m
Force =Workdone/distance
=2,275,000/17.5
Force=130,000N or 130kN.
3.Potential Energy Increases or decreases as height increases or decreases respectively.
a) PE=mgh =25x9.8x425=104,125J.
b) change in PE=mg(h°-h) =25 x 9.8(225-425)
= -49000J. The Energy is negative because the system loses 49000J.
4. At Constant velocity; d=vt
where d=distance,v=velocity, t=time
v=d/t
1.8km=1800m
10min =10x60=600seconds
v=1800/600
v=3ms-¹
KE=1/2Mv²
=1/2 x 45 x 3² =202.5J.
5.Mary weighs 505N.
Weight=Mass x acceleration due to gravity
W=mg
505=m x 9.8
m=505/9.8 =51.53kg.
Since Mary is coming down... she's decreasing her potential energy cos Potential Energy Decreases as you decrease your height. So Her Initial height was 5.5m... she alighted to the ground which we'll say is the ground(h=0)
Change in PE=mg(h°-h)=51.53 x 9.8(0-5.5) = -2777.5J.
This energy is negative because she lost potential Energy.
6. Since each has a Mass of 45kg... and they're moving together.... Their combined Mass =45+45=90kg.
Velocity given as =10ms-¹
a)Combined KE=1/2MV² = 1/2 x 90 x 10² =4500J.
b)Ratio of combined Mass to Katias mass = CM/KM
Where CM=Combined Mass
KM=Katia's mass
=90/45 =2:1
c) Katia's kinetic E =1/2 x 45 x 10² =2250J.
Ratio of combined to Katia's = CK/KK
CK=Combiner Kinetic Energy
KK=Katia's kinetic energy
= 4500/2250 =2:1.
This answer should be the same cause from the Formula KE=1/2mv²
KInetic Energy varies Directly with Mass
so If the ratio of Masses is 2:1... That of KE should be the same because of their direct Relationship✌.
7.The height at which the Rocket Engine stops is not how far it went. Theres a Minute height that it'll still go before it starts going back down.
from the question... The energy when the engine stops is 1960J
PE=mgh
1960=10x9.8xh
h=1960/98 =20m.
The engine stops at this height
but The additional Minute height that was added before itll start falling cant be calculated from the insufficient info given in this question. If we had the Energy at the additional height-added... We can calculate that height and then subtract 20 from it. That will give the additional added height.
Thats pretty Much Everything✌
Spectro... Out
The energy in the system containing DeAnna and Earth gain from this climb will be 2058J.
How to calculate the energy?From the information, DeAnna, with a mass of 60.0 kg, climbs 3.5 m up a gymnasium rope. The potential energy will be:
= mgh
= 60 × 9.8 × 3.5
= 2058J
When an electric motor develops 65 kW of power as it lifts a loaded elevator 17.5 m in 35s, the force that the motor exerts will be:
= Work done / Time
= 2275000/17.5
= 130000N
The shell-Earth system’s gravitational potential energy when the shell’s height is 425m will be:
= mgh
= 25 × 9.8 × 425
= 104125J
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What came first, a chicken or an egg
Answer:
a chicken
a chicken came first
Answer:
A Chicken
A chicken came first
A proton moving at 6.60 106 m/s through a magnetic field of magnitude 1.80 T experiences a magnetic force of magnitude 7.60 10-13 N. What is the angle between the proton's velocity and the field
Hi there!
We can use the following equation for a point charge in a magnetic field:
\(\large\boxed{F_B = qv \times B}\)
\(F_B\) = Force due to magnetic field (7.6 × 10⁻¹³N)
\(q\) = Charge of particle (1.6 × 10⁻¹⁹ C)
\(v\) = velocity of particle (6.6 × 10⁶ m/s)
\(B\) = Magnetic field strength (1.8 T)
Or, without the cross product:
\(F_B = qvBsin\theta\)
θ = angle between particle's velocity and field
We can rearrange to solve for theta:
\(\frac{F_B}{qvB} = sin\theta\\\\\theta = sin^{-1} (\frac{F_B}{qvB})\)
Solve for theta:
\(\theta = sin^{-1} (\frac{7.6*10^{-13}}{(1.6*10^{-19})(6.6*10^6)(1.80)}) = \boxed{23.57^o}\)
HELP MEEEE, question number 5
Explanation:
The gravitational potential energy of an object is given by GPE=mgh
where m is the mass of the object, g is the gravitational field strength (9.81 m/s² on earth) and h the height it is lifted at above the GPE reference ground.
Mass 1 has a GPE=m¹gh=(2)(9.81)(10)=196.2 Joule
Mass 2 has a GPE=m²gh=(4)(9.81)(10)=392.4 Joule
Object 2 has more potential energy and it makes sense since it's heavier
Hope this helps :))
the speed of light in sapphire is 1.69 x 10^8 m/s. determine the index of refraction for sapphire.
Answer:
1.775 is the answer
Explanation:
We can figure out the index of refraction of the sapphire by using the following equation n = c/v
n = index of refraction
c = speed of light in a vacuum
v = speed of light traveling in medium
Step 1 :
v = 1.69 × 10^8
c = 3 × 10^8
Step2: Substitute values
n = c/v -----> n = 3 × 10^8 / 1.69 × 10^8 = 3/1.69 = 1.775
Index of refraction of sapphire is 1.775
Based on Mount Wilson Observatory
1. How are astronomical observational patterns used to determine the history of the universe?
2. Why was Mt. Wilson or Mt. Palomar Observatories used to observe and collect data about space, and why are mountains used?
3. What is NASA Mission Statement?
4. Describe three aspects of spectrometry? It’s application to astronomy.
1.___________________________________________________________
2.___________________________________________________________
3.___________________________________________________________
5. Why is studying space important for humans on earth, and do you think human space travel will be worth the risk and costs?
1. Astronomical observational patterns are used to determine the history of the universe by studying the light emitted or absorbed by celestial objects. Scientists analyze the patterns in the electromagnetic spectrum, such as the distribution of wavelengths, intensity, and spectral lines, to gather information about the composition, temperature, motion, and evolution of celestial bodies.
What is Astronomical observational ?Astronomical observational refers to the act of observing celestial objects and phenomena in the field of astronomy. It involves the use of telescopes, detectors, and other instruments to collect data and study various aspects of the universe.
2. Mount Wilson and Mount Palomar Observatories were used to observe and collect data about space due to several reasons. Firstly, the locations of these observatories provide advantages for astronomical observations.
3. The NASA Mission Statement is: "To pioneer the future in space exploration, scientific discovery, and aeronautics research." This mission statement reflects NASA's commitment to advancing human knowledge, technological innovation, and exploration beyond Earth's boundaries. NASA aims to push the boundaries of scientific understanding, develop and test new technologies, explore the cosmos, and inspire the next generation of scientists and engineers.
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A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approximately how much time did it take her to stop moving once she hit the cushion?.
The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s
To solve this exercise, the formulas and procedures to be applied are:
F = m * at = (vf – vi) / aWhere:
m = massF = Forcea = accelerationt= timevf= final velocityvi = initial velocityInformation about the problem:
m = 50 kgvi = 20 m/sF= -2500 NVf = 0 m/s1 N = kg * m/s²a= ?t =?Applying the force formula and isolating the acceleration, we get:
F = m * a
a = F/m
a = -2500 N /50kg
a = -2500 kg * m/s² / 50 kg
a = -50 m/s²
Applying the time formula we get:
t = (vf – vi) / a
t = (0 m/s – 20 m/s) / 50 m/s²
t = (– 20 m/s) / -50 m/s²
t = 0.4 s
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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Kevin used a pulley to lift a piano to the third floor of his apartment. His input work was 12,000 J and the output work was 10,000 J. What was the mechanical efficiency of the pulley?
A . 50%
B. 83.3%
C . 120%
D. 16.7%
Answer:
B
Explanation:
Eff = output work/input work ×100
Hence, Eff = 10000/12000 × 100
Eff = 83.3%