The angle of the red line (λ = 656 nm) in the ∅₁ 1st order is 0.0321 radians.
An optical lattice is a periodic structure formed by interfering laser beams, which creates a spatially varying pattern of light and dark regions. The lattice serves as a diffraction grating that can split light into its constituent wavelengths, enabling scientists to study the properties of light and matter. Optical lattices are widely used in experiments involving cold atoms, quantum optics, and condensed matter physics.
The angle of the red line (λ = 656 nm) in the ∅₁ 1st order can be calculated using the formula:
sin(θ) = mλ/d
where θ is the angle between the incident light and the diffracted light, m is the order of the diffraction (m = 1 for the ∅₁ 1st order), λ is the wavelength of the light, and d is the spacing between the diffracting elements of the grating (d = 1/560 mm in this case).
Substituting the values given, we get:
sin(θ) = (1)(656 nm)/(1/560 mm)
sin(θ) = 0.0005596
Taking the inverse sine of both sides, we get:
θ = sin⁻¹(0.0005596)
θ = 0.0321 radians
Therefore, the angle of the red line (λ = 656 nm) in the ∅₁ 1st order is 0.0321 radians.
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A boy pulls his 9.0 kg sled, applying a horizontal force of 14.0 N (rightward). The coefficient of friction between the snow and the sled is 0.12. Determine the net force and the acceleration of the sled. Draw a free-body diagram for the sled; use appropriate force symbols to label the type of each force acting on the sled.
Here is the answer, dud
What was most likely the type of problem lead-based paint had that was solved by using paints without lead?
The use lead was stopped due to health risk to users. Option D
What are lead based paints?Lead is a heavy metal. We know that heavy metals are used for various purposes and that they pose health risks for the users of such metals. Lead is know to cause anemia, weakness, and kidney and brain damage.
The major concern in the use of a substance must be if the stated compound has an adverse effect on the users of the compound. The toxicity of the lead leads us to the fact that there are some health concerns that pertains to the use of lead as a component during the painting of homes.
Now, given the fact that there are some health concerns that surround the stoppage of the use of lead, we can say that the use lead was stopped due to health risk to users.
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Missing parts:
Decades ago, most of the paint used in the US was lead-based because it was cheap, long lasting, and widely available. When scientists recognized that this was polluting the air with toxic lead, laws banned lead-based paint, and the paint industry developed more cost-effective paints that do not contain lead.
What was most likely the type of problem lead-based paint had that was solved by using paints without lead?
A. limited availability
B. ineffective for most uses
C. lack of durability
D. health risk to users
The lead based Paint is defined as the coatings which contains lead which should be equal to 1.0 milligram per square centimeter.
What are the problems when we use lead-based paint?
Lead-based paint can be dangerous when it is found on surfaces of the floor or ground because the children can chew. That adults which are mostly are in contact with the lead based can suffer from b pressure, headaches, dizziness, diminished motor skills, fatigue and memory loss. So it is quite harmful to use lead based paint in our homes or in our surrounding.
So we can conclude that: The lead based Paint is defined as the coatings which contains lead which should be equal to 1.0 milligram per square centimeter.
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The apparent weight of a passenger in an elevator is greater than his true weight. Which one of the following is true? The elevator is either moving upward with an increasing speed or moving downward with a decreasing speed. The elevator is either moving upward with a decreasing speed or moving downward with an increasing speed. The elevator is either moving upward with an increasing speed or moving downward with an increasing speed. The elevator is either moving upward with a decreasing speed or moving downward with a decreasing speed. The elevator is either moving upward with an increasing speed or moving upward with a decreasing speed.
Answer:
D
Explanation:
The elevator is either moving upwards with an increasing speed, or moving downwards with a a decreasing speed.
The statement above is true because the direction at which the elevator accelerates, or decelerates(which is negative acceleration anyway), is of paramount importance. If the acceleration is towards the upside, the apparent weight does becomes greater than the true weight. While on the other hand, if the acceleration points towards the downside, then the apparent weight does becomes less than the true weight.
Which statement is true of the electric field at a distance from the source charge?
A it is independent of the source charge
B It is directly proportional to the source charge
C it is inversely proportional to the source charge
D it is directly proportional to the distance
Answer:
It is directly proportional to the source charge.
Explanation:
I found it pretty sure it's right hit me up on my insta
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If the voltage across a circuit of constant resistance is doubled, the power dissipated by that circuit will O A. be two times as large. O B. be four times as large. O C. decrease to one-half the original power. O D. decrease to one-fourth the original power. QUESTION 17 The network shown is assembled with uncharged capacitors X, Y, and Z, with cx = 4.0 pF, CY = 6.0 pF, and Cz- 5.0 pF. The switches 51 and 52 are initially open, and a potential difference Vab = 120 V is applied between points a and b. After the network is assembled, switch Sy is then closed, but switch S2 is kept open. What is the final potential difference across capacitor X? Assume all numbers jare accurate to 2 significant figures, Y = +120V Ñ… Z O A. 120 V O B.60 V O C.82 V O D.75 V O E. 67 V
The first question has an answer: twice the voltage across a constant resistance circuit quadruples the power lost by that circuit (Option B). Sorry, but I require additional network information to solve for the ultimate potential difference across capacitor X in the second question.
What is voltage?Voltage is a quantitative measure of the potential difference in charge between two places in an electrical field. It is also known as electromotive force. Voltage is the force exerted by the power source of an electrical circuit to move charged electrons (current) through a conducting loop, allowing them to do work such as lighting a lamp. Voltage refers to the "pressure" exerted by electricity. Voltage is measured in units known as volts (V), and greater voltages cause more electricity to flow to an electrical equipment.
Here,
The answer to the first question is that doubling the voltage across a constant resistance circuit doubles the power wasted by that circuit fourfold (Option B). Sorry, but I need more information about the network to solve for the ultimate potential difference across capacitor X in the second question.
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how can earthquakes be more destructive than tsunamis
Buildings can be destroyed by earthquakes or knocked down, trapping people underneath.
Only regions close to the water are susceptible to tsunamis, but anybody may be affected anywhere by earthquakes. Buildings can be destroyed by earthquakes or knocked down, trapping people underneath. Uneven surfaces and damaged roadways can result from the shifting and cracking of the Earth during earthquakes. When two chunks of the ground abruptly slide past one another, an earthquake results. The fault or fault plane is the area where they slide. Sudden movement along Earth's fault lines causes earthquakes. The motion releases "elastic strain" energy that has been accumulated in the form of seismic waves, which travel through the Earth and cause the earth to tremble.
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As many as _____ neurons throughout the body are involved in the control of behavior
about 1 trillion neurons
. two balloons were rubbed on a sweater like in the balloons and static electricity and then hung like in the picture below. explain why you think they move apart and what might affect how far apart they will be.
Both the balloon are gaining a negative charge by rubbing on the wool. Two like charges will repel each other. Therefore, the balloons will repel each other.
What is static electricity ?When a material rub on a surface (conducting or non-conducting) the material gets negatively charged by the flow of electrons. When this negatively charged material comes in contact with other object it will temporarily polarize the second one and gets attracted. This is called static electricity where the electrons pass from to positive pole of the polarised object.
Here, when the balloons are rubbed on the sweater wool, they gets a negative charge. Two negatively charged objects will repel each other. Hence the balloons will repel each other.
The distance up to which the balloons repel depends on the magnitude of charge they gained. If these balloons comes in a contact with other neutral object it will attracts to it by polarizing it.
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The heat of fusion for ice at 0°C is 333.7 kJ/kg, the specific heat of water 4.186 kJ/kg °C, and the heat of vaporization of water
at 100°C is 2,256 kJ/kg. What is the energy needed to vaporize 100 grams of ice at starting at 0°C?
Select one:
500 kJ
The energy needed to vaporize 100 grams of ice at starting at 0°C is 300.83 kJ.
What is heating?When the temperature is increased , the body or particle is said to be heating.
Given is the mass of water =100g =0.1 kg, Latent heat of fusion L = 333.7 kJ/kg,
Energy required to melt ice into water at 0°C.
Q₁ = mL
Q₁ = 0.1 x 333.7
Q₁ = 33.37 kJ
Energy required to heat water from 0°C to 100°C is
Q₂ = mCΔT
Q₂ = 0.1 x 4.186 x 100
Q₂ = 41.86 J
Energy required to vaporize at 100°C is
Q₃ = m Lv
Q₃ = 0.1 x 2256
Q₃ = 225.6 kJ
Total heat to vaporize 100 grams of ice at starting at 0°C is
Q = Q₁ +Q₂ +Q₃
Q = 33.37 +41.86 +225.6
Q = 300.83 kJ
Thus, the energy needed to vaporize 100 grams of ice at starting at 0°C is 300.83 kJ
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1. Two charges are separated by a distance of 1 cm. One charge has a value of 7 micro Coulombs. The other charge has a value of 10 micro Coulombs. What is the force between them, in pounds. Make sure to include the sign of the force which will be positive if the charges repel each other and negative if they attract each other.
2. 12 gauge copper wire is normally used in house wiring. When aluminum wire is used one needs to use a smaller gauge size to obtain the same resistance, 40 ft of 12 gauge copper wire was calculated. What would the resistance be if 10 gauge aluminum wire were used?
3. A 12 V automobile battery can supply 51 amps for one hour and cost $194. What is the cost of this electricity in cents per kWh?
4. Most of the body's resistance is in its skin. When wet, salts go into ion form, and the resistance is lowered. Thus, the resistance of the skin can go from 100,000 ohms when dry to 300 ohms when wet. What is the current that would be carried through the body, in milliAmperes, if you touched a 240 V power line while dry? Currents over 10 mA are almost always deadly.
1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.
3. The cost of electricity from the automobile battery is 38.6 cents per kWh.
4. The current that would be carried through the body is 0.8 mA if dry.
1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.
Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.
3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.
Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.
4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.
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A pickup truck, parked on a hill that is 11.8 m high, is accidently left in neutral without the parking brake applied.
The truck begins rolling down the hill. At the bottom, it continues rolling along a horizontal road. A 104.3-kg man jumps in the back, causing the truck's speed to reduce to 14.5 m/s. What is the mass of the truck? Ignore friction
The mass of the truck is equal to (104.3 kg x 14.5 m/s) / 11.8 m/s, which is approximately 119.4 kg.
What is mass?Mass is a measure of the amount of matter contained in an object. It can be measured using scales, balances or other measuring instruments. Mass is a fundamental property of all matter, and its measurement is the basis for many scientific and engineering calculations. Mass is not the same as weight, which is a measure of the force exerted by gravity on an object. Mass is often expressed in units such as kilograms or grams.
The mass of the truck can be determined using the law of conservation of momentum. Momentum is defined as the product of mass and velocity, so the momentum of the truck before the man jumps in is equal to the momentum of the truck and man after the man jumps in.
The momentum of the truck before the man jumps in is equal to the truck's mass multiplied by its velocity, which is 11.8 m/s. The momentum of the truck and man after the man jumps in is equal to the mass of the truck plus the man, multiplied by the reduced velocity of 14.5 m/s.
Therefore, the mass of the truck is equal to (104.3 kg x 14.5 m/s) / 11.8 m/s, which is approximately 119.4 kg.
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Identify the processes that are necessary for continued growth and division in a normal body cell
Please hurry!
-Thank you
Answer:
In a normal body cell, the processes that are necessary for continued growth and division is referred to as cell cycle. Cell cycle is the procedure by which cells divide and grow, consisting of specific step by step phases. INTERPHASE is the phase in which the dividing cells spends most of the time resting as it grows to prepare for cell division.
A girl of weight 500 N climbs on top of a 2.0 m high wall. By how much does her g.p.a increase?
Answer:
By 1000 joules
Explanation:
Given
\(Weight = 500N\)
\(Height = 2.0m\)
Required
By how much does her GPA increases
To do this, we simply calculate the potential energy.
\(GPE = mgh\)
Where
\(mg = Weight = 500N\)
At the ground level, the height is 0
i.e. \(h = 0\)
So:
\(GPE = 500N * 0 = 0\)
At:
\(h = Height = 2.0m\)
So, we have:
\(GPE = mgh\)
\(GPE = 500N * 2.0m\)
\(GPE = 1000J\)
Calculate the difference
\(\triangle GPE = 1000J - 0J\)
\(\triangle GPE = 1000J\)
Hence, it increases by 1000 joules
A school bus traveling at 40 km/hr. (11.1m/s) has a momentum of 152625 kg.m/s.
What is the mass of the bus?
Answer:
13,750 kg
Explanation:
p = mv
m = p/v = (152625 kg·m/s) / (11.1 m/s) = 13,750 kg
03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.
Hooke's Law can be given as follows sometimes:
The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:
F = -kx
Where, F = Restoring force of a spring (Newtons, N)
k = Spring constant (N/m)
x = Displacement of the spring (m)
The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.
Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.
The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.
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Mrs Turner has a scale drawing of her apartment.IN the scale drawing the lenght of her apartment is 6.25 inches and the width is 2.75 onches. If Mrs. Turner used the scale factor 1 inc/18ft, what would the area of the apartment be?
The area of Mrs. Turner's apartment is approximately 0.05304 square feet.
To find the area of Mrs. Turner's apartment, we need to convert the measurements from the scale drawing to the actual measurements in feet, using the given scale factor of 1 inch/18 feet.
Length of apartment in feet = 6.25 inches × (1 foot/18 inches) = 0.34722 feet
Width of apartment in feet = 2.75 inches × (1 foot/18 inches) = 0.15278 feet
Now, we can calculate the area of the apartment in square feet by multiplying the length and width:
Area of apartment in square feet = Length × Width = 0.34722 feet × 0.15278 feet = 0.05304 square feet
Therefore, the area of Mrs. Turner's apartment is approximately 0.05304 square feet.
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Compare and contrast position graphs and velocity graphs.
Answer:
The difference between them is that the velocity-time graph reveals the speed of an object (and whether it is slowing down or speeding up), while the position-time graph describes the motion of an object over a period of time.
Explanation:
Assignment: Calculating Speed Investigation
Data Analysis:
Note: Please submit your data table with this assignment.
1. Write your original hypothesis here.
2. Calculate the average time for vehicle 1 from the information in your data table. Show all work.
3. Calculate the average time for vehicle 2 from the information in your data table. Show all work.
4. Calculate the average speed for vehicle 1 from the information in your data table. Show all work, including the formula used.
5. Calculate the average speed for vehicle 2 from the information in your data table. Show all work, including the formula used.
Conclusion:
Think about this information and then write a conclusion based on the data of this experiment. Don’t forget to connect the conclusion to the original hypothesis.
Were you able to support your hypothesis or not? Be sure to base your answer on the data you collected. Consider whether your conclusion is the only explanation for the data you collected or if there could be alternate explanations. Don’t forget to mention any scientific laws or theories you have studied that would apply to this experiment.
Follow-up Questions:
1. If your experiment did not seem to match the expected results, what did you learn from the experience?
2. Instantaneous speed is the rate of motion of an object at a particular moment in time. What change(s) to the experimental procedure would be necessary if you wanted to gather data on instantaneous speed?
and as for the data can you please make your own
Answer:
Assignment: Calculating Speed Investigation
Data Analysis:
Note: Please submit your data table with this assignment.
1. Write your original hypothesis here.
2. Calculate the average time for vehicle 1 from the information in your data table. Show all work.
3. Calculate the average time for vehicle 2 from the information in your data table. Show all work.
4. Calculate the average speed for vehicle 1 from the information in your data table. Show all work, including the formula used.
5. Calculate the average speed for vehicle 2 from the information in your data table. Show all work, including the formula used.
Conclusion:
Think about this information and then write a conclusion based on the data of this experiment. Don’t forget to connect the conclusion to the original hypothesis.
Were you able to support your hypothesis or not? Be sure to base your answer on the data you collected. Consider whether your conclusion is the only explanation for the data you collected or if there could be alternate explanations. Don’t forget to mention any scientific laws or theories you have studied that would apply to this experiment.
Follow-up Questions:
1. If your experiment did not seem to match the expected results, what did you learn from the experience?
2. Instantaneous speed is the rate of motion of an object at a particular moment in time. What change(s) to the experimental procedure would be necessary if you wanted to gather data on instantaneous speed?
and as for the data can you please make your own
Explanation:
Assignment: Calculating Speed Investigation
Data Analysis:
Note: Please submit your data table with this assignment.
1. Write your original hypothesis here.
2. Calculate the average time for vehicle 1 from the information in your data table. Show all work.
3. Calculate the average time for vehicle 2 from the information in your data table. Show all work.
4. Calculate the average speed for vehicle 1 from the information in your data table. Show all work, including the formula used.
5. Calculate the average speed for vehicle 2 from the information in your data table. Show all work, including the formula used.
Conclusion:
Think about this information and then write a conclusion based on the data of this experiment. Don’t forget to connect the conclusion to the original hypothesis.
Were you able to support your hypothesis or not? Be sure to base your answer on the data you collected. Consider whether your conclusion is the only explanation for the data you collected or if there could be alternate explanations. Don’t forget to mention any scientific laws or theories you have studied that would apply to this experiment.
Follow-up Questions:
1. If your experiment did not seem to match the expected results, what did you learn from the experience?
2. Instantaneous speed is the rate of motion of an object at a particular moment in time. What change(s) to the experimental procedure would be necessary if you wanted to gather data on instantaneous speed?
and as for the data can you please make your ownWhich sentence uses a superlative adjective correctly?
Anthony is running more quickly than anyone else on the field.
Shalon is a very talented pianist.
That is the best chocolate cake I have ever tasted.
Ani is the better gymnast of the two.
Which statement best compares and contrasts the purpose of "PROSERPINE" to that of "How Old Man Winter Was Driven Back"?
The Greek myth explains the creation of the earth, while the Iroquois myth also explains why there is evil in the world.
The Greek myth explains the creation of the earth, while the Iroquois myth also explains the creation of the moon.
The Greek myth explains the changing of the seasons as well as the existence of the underworld, while the Iroquois myth also explains the changing of the seasons.
The Greek myth explains the creation of the moon, while the Iroquois myth explains the creation of the sun.
Read the passages:
from "How Old Man Winter Was Driven Back"
"I, too, am powerful, and I am young! I do not fear you. When I touch the earth, it grows soft and warm. Every living thing stirs in its sleep,—birds and bees, flowers and trees, animals and men. When I speak, the sleeping sun awakes. See! Already he begins to send down his arrows. Hasten! that they may not find you, on the trail to the North Sky."
from "How the World Was Made"
Even some of the trees went to sleep. Only the cedar, the pine, the spruce, the holly, and the laurel were awake all seven nights. Therefore they are always green. They are also sacred trees. But to the other trees it was said, “Because you did not stay awake, therefore you shall lose your hair every winter.”
Which best uses textual evidence to compare and contrast these two myths?
Both myths show the change in seasons as a violent battle.
In "How Old Man Winter Was Driven Back," the change in
(Briefly explain what would happen, if there is no existence of capacitor in our world?
If there is no existence of capacitors in our world there would be no electrical or electronic engineering.
A capacitor is a device that stores electrical energy in an electric field. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect. A capacitor commonly referred to as a condenser is one of the fundamental parts needed to create electronic circuits. Without fundamental parts like resistors, inductors, diodes, transistors, etc., a circuit's design is incomplete or it won't work properly.
Energy storage is capacitors' most popular application. Power conditioning, signal coupling or decoupling, electronic noise filtering, and remote sensing are further applications. Capacitors are employed in a wide variety of industries and have integrated into daily life due to their numerous applications.
There are numerous significant uses for capacitors. They are employed in digital circuits, for instance, to prevent the loss of data saved in big computer memories during a brief loss of power. The electric energy held in such capacitors keeps the data from being lost during a brief power outage.
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1. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is
slanted upward by 48° above the horizontal at its end, which is 0.40 m above the ground. When she
leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air
resistance, find the maximum height H to which she rises above the end of the track.
Projectile motion is the curved path motion of a body launched into the air near the Earth's surface and having a horizontal velocity.
The maximum height to which the skateboarder rises, H, is approximately 0.6 meters above the end of the track.Reason:
Given parameter are;
Initial velocity of the skateboarder, v₁ = 5.4 m/s
Inclination of the track, above the horizontal, θ = 48°
Height of the end of the elevated track, h ≈ 0.40 m
Path of the skateboarder when she leaves the track = Path of a projectile
Required:
Maximum height H to which she rises above the end of the track.
Solution;
From v² = u² - 2·g·h, at the end of the track where;
h = 0.40 m
u = Initial velocity = 5.4
g = 9.81 m/s²
We have;
v₂² ≈ 5.4² - 2 × 9.81 × 0.40 = 21.312
The velocity at which she leaves the track, v₂ ≈ √(21.312 m²/s²).At the maximum height, H, we have;
\(\displaystyle v__y\) = 0
Therefore, from \(\displaystyle v__y\)² = \(\displaystyle u__y\)² - 2·g·H, where;
\(\displaystyle u__y\)² = 2·g·H
\(H = \dfrac{u_y^2}{2 \cdot g}\)Which gives;
\(H = \dfrac{21.312}{2 \times 9.81} \times sin^2(48^{\circ}) \approx 0.6\)Therefore;
The maximum height to which she rises above the end of the track, H ≈ 0.6 m.Learn more about projectile motion here:
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A 5.760 kg
block of wood rests on a steel desk. The coefficient of static friction between the block and the desk is s=0.455
and the coefficient of kinetic friction is k=0.205.
At time =0,
a force =15.8 N
is applied horizontally to the block. State the force of friction applied to the block by the table at times =0
and >0.
A block of wood resting on a steel desk experiences a force of friction that opposes the applied force. The force of friction depends on the coefficients of friction and the normal force acting on the block.
At time t=0, the force applied on the block is 15.8 N. Since the block is at rest, the frictional force must be equal and opposite to the applied force to maintain static equilibrium. Therefore, the force of friction acting on the block at t=0 is:
Ffriction = Fapplied = 15.8 N
Now, when the applied force is greater than the maximum static frictional force (i.e., Fs > μsN), the block will start to move, and the frictional force acting on the block will be the kinetic frictional force. The kinetic frictional force is given by:
Ffriction = μkN
where μk is the coefficient of kinetic friction and N is the normal force acting on the block.
The normal force N acting on the block can be calculated using Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration:
ΣF = ma
Since the block is moving horizontally, its acceleration in the vertical direction is zero, and the normal force N is equal to the weight of the block:
N = mg
where m is the mass of the block and g is the acceleration due to gravity.
Substituting the given values, we get:
N = 5.760 kg × 9.81 m/s^2 = 56.47 N
The maximum static frictional force Fs can be calculated using:
Fs = μsN
Substituting the given values, we get:
Fs = 0.455 × 56.47 N = 25.68 N
Since the applied force is greater than the maximum static frictional force, the block will start to move, and the frictional force acting on the block will be the kinetic frictional force. The kinetic frictional force can be calculated using:
Ffriction = μkN
Substituting the given values, we get:
Ffriction = 0.205 × 56.47 N = 11.56 N
Therefore, the force of friction acting on the block at t=0 is 15.8 N, and the force of friction acting on the block when it starts to move is 11.56 N.
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A mechanical lift is used to pull an engine out of a car. The engine is attached
to the lift with chains and lifted straight up. The free-body diagram below
shows the engine when it is suspended in the air.
Force 1
Force 2
What is force 2 in this diagram?
O A. Weight
B. Tension
C. Normal force
D. Friction
Answer:
the answer is weight
Explanation:
Answer:
Weight
Explanation: Just took the quiz
what is drift speed ? {electricity}
Answer: In physics a drift velocity is the average velocity attained by charged particles, such as electrons, in a material due to an electric field.
Explanation:
2. Kevin works as a janitor, and he is pushing a fully-
loaded recycling bin that weighs 557 N across the
floor. He applies a force of 410 N at an angle of 15°
below the horizontal. The coefficient of kinetic friction
between the recycling bin and the floor is 0.46. How
long does it take him to move the bin 6.5 meters,
assuming the bin starts from rest?
The time taken for him to move the bin 6.5 m is 2.30 s.
The given parameters;
weight of the load, w = 557 Nforce applied , F = 410 Nangle of force, = 15°coefficient of kinetic friction = 0.46distance moved, d = 6.5 mThe net horizontal force on the recycling bin is calculated as follows;
\(Fcos\theta - F_k = ma\)
where;
m is the mass of the recycling bin\(F_k\) is the frictional forceW = mg
\(557 = 9.8m\\\\m = \frac{557}{9.8} \\\\m = 56.84 \ kg\)
The net horizontal force on the recycling bin is calculated as;
\(Fcos \theta - F_k = ma\\\\Fcos\theta - \mu_kF_n = ma\\\\410\times cos(15) \ - \ 0.46(557) = 56.84 a\\\\139.8 = 56.84a\\\\a = \frac{139.8}{56.84} \\\\a = 2.46 \ m/s^2\)
The time taken for him to move the bin 6.5 m is calculated as follows;
\(s = v_0t + \frac{1}{2} at^2\\\\6.5 = 0 + \frac{1}{2} \times 2.46\times t^2\\\\6.5 = 1.23 t^2\\\\t^2 = \frac{6.5 }{1.23} \\\\t^2 = 5.285\\\\t = \sqrt{5.285} \\\\t = 2.30 \ s\)
Thus, the time taken for him to move the bin 6.5 m is 2.30 s.
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What kind of motion do you see when using scissors
Answer:
When we are using scissors, our hand makes an open and close motion.
Explanation:
A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in meters?
m
Explain your reasoning.
Since the density of water is
cm3 is
g/cm3, then the volume of 2800 g of water is
cm on each side. Converting [ cm to meters, the cube is
Proy
13 of 15
⠀⠀⠀
Next
cm³. A cubic box with a volume of [
m on each side.
The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.
Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.
Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.
So the filled cubic box has a side length of approximately 0.141 m.
During take-off a 6kg model rocket is burning fuel causing its speed to increase at a
rate of 7m/s² despite experiencing a 100N drag. What is the magnitude of the net force on the rocket
The magnitude of the net force on the rocket was found to be 42N
Define magnitude ?
What is magnitude in Physics, is surely an issue of tremendous relevance in science. Magnitude often relates to the quantity or distance. In regard to the movement, we may associate magnitude with the size and speed of the item while moving.
The magnitude of a thing or a quantity is its size. Like in terms of speed, a car is driving quicker than a motorbike. In this situation, the car's speed is greater than the motorbike's. Let's now discuss what magnitude in physics means.
the magnitude of the net force was determined by the equation.
∑F= ma
=6(7m/s²)
=42 N
the force was exerted upwards.
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AP Physical problem the wording is really throwing me off and im totally lost on how to do this. I would love some help please and thank you!
Explanation:
a) Here is the free-body diagram. Note that I included the components of the weight mg (shown in dotted arrows) for use in the other parts of the problem.
b) The component of the weight parallel to the plane (shown in the diagram as a dotted arrow along the x-axis) is \(mg\sin15\) and it is equal to
\(mg\sin15 = (25\:\text{kg})(9.8\:\text{m/s}^2)\sin15 = 63.4\:\text{N}\)
c) Applying Newton's 2nd law to the y-axis, we can write
\(y:\;\;\;N - mg\cos15 = 0 \Rightarrow N = mg\cos15\)
\(N = (25\:\text{kg})(9.8\:\text{m/s}^2)\cos15 = 236.7\:\text{N}\)
d) The component of the weight mg into the plane is the same as the normal force, hence it's also 236.7 N.
e) To solve for the coefficient of friction, we apply Newton's 2nd law to the x-axis:
\(x:\;\;\;mg\sin15 - F_f = 0\)
\(\Rightarrow F_f = mg\sin15\;\;(2)\)
where \(F_f\) is the frictional force defined as \(F_f = \mu N\) so we can use Eqn(1) on Eqn (2) to write
\(\mu (mg\cos15) = mg\sin15\)
Solving for \(\mu,\) we get
\(\mu = \dfrac{\sin15}{\cos15} = \tan15 = 0.27\)
Q1: An object is in a uniform circular motion. Which of the following statements must be
true?
Answer:
it has constant angular velocity
Explanation:
an object moving in a uniform circular motion moves with constant angular velocity about a point
A. Organized process to test a hypothesis
B. An educated guess about the solution to a problem
C. Observations & measurements recorded
D. A summary based on the results of an experiment
E. The response that is measured in an experiment
F. The factor that is manipulated during an experiment
The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.
What is an observation in science?Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.
The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.
In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..
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