You have constructed a perfect 1D infinite square well potential in the lab and you have an electron in the ground state in this well. The width (W) of the well is tunable. You wish to study the transition of the electron from the ground (n=1) state to the third excited state (n=3) state. You will cause this transition using a laser which emits photons which each carry an energy Ep. Write an expression for the width (W) of the square well that you need to cause the n=1 to n=3 transition with the given laser source.
Answers
The expression for the width of the square well required to cause the n=1 to n=3 transition with a laser is W = (9λ/2) where λ is the wavelength of the laser.
The energy of a photon is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength of the laser. For the electron to transition from the ground state to the third excited state, the energy of the photon emitted by the laser must match the energy difference between the two states, which is given by ΔE = E3 - E1 = 9E1/4. Substituting E = hc/λ for both energies, we get ΔE = hc(1/λ3 - 1/λ1) = 9hc/4λ1.
Solving for λ1, we get λ1 = 4λ3/9. The width of the square well is given by W = πħ/√(2mE1), where ħ is the reduced Planck's constant and m is the mass of the electron. Substituting λ1 into W, we get W = (9λ/2), where λ is the wavelength of the laser.
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Related Questions
Peter is heating water on the stove to boil eggs for a picnic. If it takes 800 kcal to heat his vat of water from 20◦C to 100◦C, how much water did he have?
Answers
Answer:
Explanation:
The amount of heat energy required to raise the temperature of a given mass of a substance is given by the specific heat capacity of the substance. For water, the specific heat capacity is approximately 1 calorie/gram °C or 4.184 joule/gram °C.
To determine the mass of water Peter heated, we can use the following formula:
Q = m * c * ΔT
where Q is the amount of heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, Q is given as 800 kcal, or 800,000 calories, and the change in temperature, ΔT, is 100°C - 20°C = 80°C.
Using the specific heat capacity of water, c = 1 calorie/gram °C, we can rearrange the formula to solve for the mass, m:
m = Q / (c * ΔT)
Substituting the given values, we get:
m = 800,000 calories / (1 calorie/gram °C * 80°C)
m = 800,000 grams
m = 800 kg
Therefore, Peter heated 800 kg, or 800 liters, of water.
Why do we charge a capacitor under a DC voltage source only?
Answers
if a needle had to be removed from a syringe, what would be the safest way to do so based on safe sharps work practices? remove the needle by twisting off the syringe directly by hand ask a colleague to hold the syringe while you twist the needle off by hand recap the needle with a forceps, then remove the needle from the syringe by hand use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed
Answers
The safely removing a needle from a syringe based on safe sharps work practices is to use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed.
This method ensures that the needle is immediately disposed of in a safe manner, reducing the risk of accidental needlestick injuries. It is important to never remove the needle by twisting off the syringe directly by hand, as this can cause the needle to become dislodged and potentially cause harm. Similarly, asking a colleague to hold the syringe while you twist the needle off by hand also poses a risk. Recapping the needle with forceps before removing it by hand is also not recommended, as it increases the risk of needlestick injuries. Therefore, using a needle box equipped with a needle removal device is the safest and most effective method for removing a needle from a syringe.
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What is Otter's average velocity over his entire trip when it takes him 2 minutes to walk 100 meters north and another 1 minute to walk 70 meters south?Express your answer using the proper SI units. Round your answer to two decimal places, and include a direction if necessary.
Answers
Answer:
0.50m/s
Explanation:
Average velocity is the change in displacement of a body with respect to time.
Velocity = ∆S/∆t
∆S = 100m - 70m
∆S = 30m
∆t = 2min - 1 min
∆t = 1min = 60secs
Substitute the given parameters into the formula for velocity
Velocity = 30m/60s
Velocity = 1/2 m/s
Average Velocity = 0.5m/s
PLEASE HELP ILL MARK BRAINLIEST!!! A ball is initially thrown downwards with an initial speed of 20 m/s from the top of a 300 m tall building. The ball has a constant downward acceleration of 10 m/s ^ 2 a). What is the velocity of the ball immediately before it hits the ground at the base of the building?
Answers
Using the 3rd equation of motion:
= v² - u² = 2gs ------ [g = Acceleration due to gravity]
= v² - 20² = 2 × 10 × 300
= v² - 400 = 6000
= v² = 6000 - 400
= v = √5600
= v = 74.83 m/s
And yeah it's done :)
31. TRUE or FALSE A cheese puff must contain C since CO2 was produced when it was burned,
I
Answers
Answer:
True
Explanation:
place the disk-shaped magnets into a stack and compare the behavior of the stack to that of the rod-shaped magnet. does the stack behave like the rod-shaped magnet? why or why not? does it have north and south poles?
Answers
Because the magnetic fields of the individual magnets in the stack are aligned in opposite directions, they cancel each other out, resulting in no overall north or south pole for the stack as a whole.
The stack does not have north and south poles as well. This is due to the fact that the rod-shaped magnet has a north pole at one end and a south pole at the other end, while the stack of disk-shaped magnets does not have poles.
When compared to the rod-shaped magnet, the stack of disk-shaped magnets has a different pattern of magnetic flux lines, which causes it to behave differently. In a rod-shaped magnet, the magnetic flux lines flow from one end to the other, resulting in a distinct north and south pole. In a stack of disk-shaped magnets, however, the magnetic flux lines flow from the top of one magnet to the bottom of the next, with no overall north or south pole.
In a stack of disk-shaped magnets, the magnetic field lines emerge from the top of the stack and re-enter at the bottom, forming a closed loop. Because there is no discernible north or south pole, the stack does not behave like the rod-shaped magnet.
Although the disk-shaped magnets in the stack do not have distinct north and south poles, each individual magnet does have a north and south pole. In each disk, the magnetic field lines flow in a circular pattern around the center, with the north pole at one side and the south pole at the other.
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Two coils A and B are wound side by side. Coil A has 8120 turns and coil B has 11842 turns. 54% of flux produced by coil A links coil B. A current of 6 A in coil A produces 0.02 mWb, while the same current in coil B produces 0.078 mWb. a) Calculate the mutual inductance and the coupling coefficient. b) Calculate the emf induced in coil B when the current is reversed in 0.015 seconds.
Answers
a) Mutual inductance = 0.108 H; Coupling coefficient = 0.482. b) - 4.95 V.
a) Mutual inductance, M between coil A and coil B can be given as:
M = k√(L_AL_B) here, k is the coupling coefficient, L_A and L_B are the inductances of the coil A and coil B respectively. Since 54% of flux produced by coil A links coil B,
So, K = 0.54
L_A = N_A Φ/I_AL_A
= 8120 × 0.02/6
= 27.07 mH
L_B = N_B Φ/I_BL_B
= 11842 × 0.078/6
= 154.63 mH
M = k√(LALB) = 0.482 × √(27.07 × 0.15463) = 0.108 H
b) The emf induced in coil B can be given as:-
ε = M (dI_B/dt)/L_B
ε = 0.108 × (-6/0.015) / 0.15463 = -4.95 V
Thus, the emf induced in coil B when the current is reversed in 0.015 seconds is -4.95 V.
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A 71.2-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.64 m, and ends with a speed of 8.51 m/s. How much nonconservative work (in kJ) was done on the boy
Answers
The nonconservative work done on the boy, A boy with a mass of 71.2 kg has caught a wave, which gives him an initial speed of 1.6 m/s. He then falls 1.64 m and finishes with a speed of 8.51 m/s. We'll utilize the energy conservation law to calculate the nonconservative work done on him.
The boy's initial kinetic energy is given by 1/2 m v₁² = 1/2 (71.2 kg) (1.6 m/s)² = 91.03 J. The potential energy he has before dropping through a height of 1.64 m is mgh = (71.2 kg) (9.8 m/s²) (1.64 m) = 1151.9 J.When he reaches the bottom, his kinetic energy is 1/2 m v₂² = 1/2 (71.2 kg) (8.51 m/s)² = 2656.36 J.
As a result, the energy conservation law provides us with the following expression:Initial energy + work done on the system = Final energy W_nc = Ef - Ei - W_cW_nc = 2656.36 J - 91.03 J - 1151.9 JW_nc = 1413.43 JTo obtain the answer in kJ, we will convert the value to kilojoules by dividing it by 1000.W_nc = 1413.43 J = 1.41 kJTherefore, 1.41 kJ of nonconservative work was done on the boy.
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The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy. For example, if your automobile gets 30 miles per gallon at 55mph, the fuel consumption is 21 miles per gallon at 70mph. If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, what is the extra cost of fuel if gasoline costs $3.26 per gallon? Your car gets 30 miles per gallon (mpg) at 63mph.
Answers
The extra cost of fuel for driving 83 mph instead of 73 mph is $3.7671.
The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy.
If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, then the extra cost of the fuel is calculated as:
* **Fuel consumption at 83 mph:** 30 mpg * (1 - 2% * (83 - 55)) = 27.6 mpg
* **Fuel consumption at 73 mph:** 30 mpg * (1 - 2% * (73 - 55)) = 29 mpg
* **Extra fuel used:** 400 miles / 27.6 mpg - 400 miles / 29 mpg = 2.4 gallons
* **Extra cost of fuel:** $3.26/gallon * 2.4 gallons = $3.7671
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!! i will mark as brainliest so pls answer quick !!
The student becomes negatively charged because of the friction between her socks and the carpet.
Explain why the friction causes the student to become charged
Answers
Answer:
A student becomes negatively charged because of the friction between his socks and the carpet. ... The electrons get rubbed and move towards the carpet so the carpets electrons move away and the student becomes negatively charged.
A microwave is a(n) _____ that is directed from one microwave station tower to another
Answers
The high-frequency radio signal is the answer.
Radiofrequency (RF) radios are in the wavelength band of 100 to 10 meters and extend from 3 MHz to 30 MHz. Much of the HF bandwidth is allocated to mobile and fixed voice communications services that require transmission bandwidth of less than 12 kHz. International (Shortwave) Broadcast
Radio Frequency (HF) is an ITU term for the range of high-frequency electromagnetic waves (radio waves) from 3 to 30 MHz (MHz). It is also known as the decameter band or decameter wave because it has wavelengths in the range of 1 to 10 decameter (tens to hundreds of meters).
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8
Natalie is examining a substance found at a crime scene. Using a chemical test, she is able to determine that cellulose is present in the substance.
What does this mean for the investigation?
OA.
It came from a plant.
B.
It came from an animal.
OC.
It came from an insect.
O D. It came from a human.
Reset
Next
Answers
why do rotation curves of galaxies imply that dark matter exists?
Answers
Rotation curves of galaxies imply the existence of dark matter because they show unexpected and anomalous behavior in the distribution of mass within galaxies.
The rotation curve of a galaxy describes the rotational velocity of stars or gas clouds at various distances from the galactic center. According to Newtonian physics, the rotational velocity should decrease with increasing distance from the center, as the gravitational pull weakens. However, observations have revealed that the rotational velocities remain constant or even increase with distance from the center, indicating the presence of additional mass beyond what is accounted for by visible matter. This discrepancy between the predicted and observed rotational velocities suggests the existence of unseen matter, commonly referred to as dark matter.
Dark matter does not emit or interact with light, making it invisible and difficult to detect directly. However, its gravitational effects can be observed through its influence on the motion of visible matter. The presence of dark matter provides the additional gravitational pull required to explain the observed high rotational velocities of stars and gas clouds in galaxies. Various astrophysical and cosmological studies, such as gravitational lensing and the cosmic microwave background radiation, further support the existence of dark matter.
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an 80.0 kg skydiver jumps out of a balloon at an altitude of 1000 m and opens the parachute at an altitude of 200.0m (A). Assuming that the total resisting force on the driver is constant at 50.0 N with the parachute closed and constant at 3 600 N with the parachute open, what is the speed of the driver when he lands on the ground?(B) do you think the skydiver will get hurt? explain(C) At what height should the parachute be opened so that the final speed of the skydiver when he hits the ground in 5.00 m/s?(d) how realistic is the assumption that the total resisting force is constant? explain
Answers
ANSWERS:
A. 38.3 m/s
B. Yes. 38.3 m/s is a very high speed and could potentially cause serious injury or death
C. 656.1 m
D. Not very realistic. The resisting force depends on the speed of the skydiver.
EXPLANATIONS:
(A) To solve for the speed of the skydiver when he lands on the ground, we can use conservation of energy. The initial potential energy of the skydiver is equal to the final kinetic energy plus the final potential energy.
Initial potential energy = mgh1 = 80.0 kg x 9.8 m/s^2 x 1000 m = 784000 J
Final potential energy = mgh2 = 80.0 kg x 9.8 m/s^2 x 200.0 m = 156800 J
With the parachute closed, the total resisting force is 50.0 N, so we can use the work-energy principle to find the final kinetic energy:
Work done by resisting force = Fd = 50.0 N x (1000 m - 200 m) = 40000 J
Final kinetic energy = Initial potential energy - Work done by resisting force - Final potential energy
Final kinetic energy = 784000 J - 40000 J - 156800 J = 587200 J
Finally, we can solve for the speed using the equation for kinetic energy:
Final kinetic energy = (1/2)mv^2
587200 J = (1/2)(80.0 kg)v^2
v = sqrt(1468 m^2/s^2) = 38.3 m/s
Therefore, the speed of the skydiver when he lands on the ground is 38.3 m/s.
(B) It's difficult to say whether the skydiver will get hurt based solely on the speed of impact. However, 38.3 m/s is a very high speed and could potentially cause serious injury or death. Other factors, such as the angle of impact and the condition of the ground, would also affect the outcome.
(C) We can use the same conservation of energy equation as in part (A), but solve for the height at which the parachute should be opened to achieve a final speed of 5.00 m/s.
Initial potential energy = mgh1 = 80.0 kg x 9.8 m/s^2 x h1
Final potential energy = mgh2 = 80.0 kg x 9.8 m/s^2 x 0
With the parachute open, the total resisting force is 3600 N, so we can use the work-energy principle to find the work done by the resisting force:
Work done by resisting force = Fd = 3600 N x (h1 - 0) = 3600h1 J
Then we can solve for the height using the equation:
Initial potential energy - Work done by resisting force = Final kinetic energy + Final potential energy
mgh1 - 3600h1 = (1/2)mv^2 + 0
Simplifying and solving for h1:
h1 = (v^2)/(2g) + 3600/g = (5.00 m/s)^2 / (2 x 9.8 m/s^2) + 3600/9.8 = 656.1 m
Therefore, the parachute should be opened at a height of 656.1 m to achieve a final speed of 5.00 m/s.
(D) The assumption that the total resisting force is constant is not very realistic because the resisting force depends on the speed of the skydiver. As the skydiver falls faster, the resisting force will increase due to air resistance. Therefore, the actual speed of the skydiver with the parachute closed and the actual speed with the parachute open would not be constant.
Can you please help me with this question
Answers
Impedance is a measure of the opposition to the flow of electrical current in a circuit. It is a complex quantity that includes both resistance and reactance, and is measured in ohms (Ω).
What is the impedance?Impedance is an important concept in electrical engineering and is used to design and analyze electronic circuits, communication systems, and power systems.
We know that the capacitive reactance is;
Xc= 1/2πfC
Xc =1/2* 3.14 * 1 * 10^3 * (0.01 * 10^-6)
Xc = 15924 ohm
Then Z = √R^2 + Xc^2
Z = √(10 * 10^3) + (15924 )^2
Z = 18804 ohm
I = V/Z
I = 10V / 18804 ohm
I = 0.00053 A
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a 56.2-gram tennis ball is loaded into a 1.27-kg homemade cannon. the cannon is at rest when it is ignited. immediately after the impulse of the explosion, a photogate timer measures the cannon to recoil backwards a distance of 6.1 cm in 0.0218 seconds. determine the post-explosion speed of the cannon and of the tennis ball.
Answers
A photogate timer measures the cannon to recoil backward at a distance of 6.1 cm in 0.0218 seconds. The post-explosion speed of the cannon and of the tennis ball is: 599.9 m/s
The post-explosion speed of the cannon and of the tennis ball can be determined using the impulse-momentum theorem. This theorem states that the impulse (change in momentum) is equal to the product of the average force and the time interval during which it acts.
The impulse is equal to the mass of the cannon times the change in velocity of the cannon. The mass of the cannon and the tennis ball is the sum of the mass of the cannon and the mass of the tennis ball, which is 1.326 kg. The time interval is 0.0218 seconds.
We can calculate the change in velocity of the cannon and the tennis ball using the equation impulse = mass x change in velocity. This gives us:
change in velocity = impulse / mass = (1.326 kg) x (6.1 cm) / (0.0218 s) = 599.9 m/s.
Therefore, the post-explosion speed of the cannon and the tennis ball is 599.9 m/s.
This calculation is based on the assumption that the impulse of the explosion is the same for both the cannon and the tennis ball. Therefore, the post-explosion speed of the cannon and the tennis ball is the same and equal to 599.9 m/s.
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When you ride your scooter you have momentum. When you ride twice as fast you have Select one: . a. almost twice the momentum. O b. none of the above O c. twice the momentum O d. four times the momentum
Answers
The correct answer is C. When you ride your scooter twice as fast, you have twice the momentum. Momentum is directly proportional to velocity, so when you double your velocity, your momentum also doubles.
Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and velocity. Momentum is a vector quantity, meaning it has both magnitude and direction. According to the law of conservation of momentum, the total momentum of a closed system remains constant, unless acted upon by an external force.
This principle is widely used in many areas of physics, including mechanics, fluid dynamics, and electromagnetism. Momentum is a fundamental concept in physics and has many practical applications, including in transportation, sports, and engineering.
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Explain the difference between density and concentration
Answers
Explanation:
A concentrated solution has a relatively greater amount of solute to solvent than other solutions of the same solute and solvent. A diluted solution has a relatively smaller amount of solute than similar solutions.
how to burn your module?
sabog na sabog nako eh
Answers
Answer:
get some
get some ⛽⛽⛽⛽⛽
pour the ⛽ on the module,
get that on itttttt and booooooommmm
Explanation:
If you have a spaceship that can go 20% of the speed of light, how long would it take to travel 200 light-years?
Answers
Answer:
1498962290
Explanation:
help me with this one
Answers
Answer:
Explanation:
2. a
3. c
um I don't remember how to do this, help :(
Answers
Pressure is a measure of force per unit area:
P = F/A
The water exerts a pressure of 202 kPa = 202,000 Pa on the diver, who has a surface area of 1.50 m². Then the force exerted by the water is F such that
F = PA
F = (202,000 Pa) (1.50 m²)
F = 303,000 N = 303 kN
which gives the amount of charge on a certain length of a rod that is uniformly charged?
a. It is the ratio of the length to the linear charge density.
b. It is the product of the length and the linear charge density.
c. It is the ratio of the linear charge density to the length.
Answers
It is the product of the length and the linear charge density.
Linear charge density is defined as the amount of charge per unit length of the rod. Therefore, if we know the length of the rod and its linear charge density, we can easily calculate the amount of charge on that length of the rod by multiplying the two values.For example, if a rod is 2 meters long and has a linear charge density of 5 C/m, the amount of charge on the rod would be:Charge = Length x Linear Charge Density Charge = 2 m x 5 C/m Charge = 10 C .
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The correct answer is b. It is the product of the length and the linear charge density.
The amount of charge on a certain length of a rod that is uniformly charged can be determined by multiplying the length of the rod by its linear charge density. Linear charge density is defined as the amount of charge per unit length, and is expressed in units of Coulombs per meter (C/m). By multiplying the linear charge density by the length of the rod, we can determine the total amount of charge present on the rod. For example, if a rod has a linear charge density of 5 C/m and a length of 2 meters, the amount of charge on the rod would be 10 Coulombs (5 C/m x 2 m = 10 C). Therefore, option b is the correct answer as it describes the relationship between the charge and length of a uniformly charged rod.
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______ atoms do not easily react with or
form bonds with other atoms.
Answers
Answer:
the Noble gases
Explanation:
the Noble gases are atoms that do not easily react with or form bonds with other atoms
if the driver suddenly applies the brakes and brings the car to a stop in 4.0 s, what is the work done by the friction force between the tires and the road surface?
Answers
148.96 joule is the work done by the friction force between the tires and the road surface
u=15m/s
m=40 kg
t=0.2s
a=15/4
a=μg
μ=a/g
μ=1.5/4
μ=0.38
W=μmg
W=0.38×40×9.8
W=148.96 joule
When moving an item across a distance, an external force must direct at least a portion of its force in the direction of the displacement. This is referred to as work done in physics. If the force operating along the path is constant, the amount of work may be calculated by multiplying the length of the path by the force's component. The work W is equal to the force f times the distance h to represent this idea mathematically, or W = mgh. The work is W = mas if the force is applied at an angle to the displacement.
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doss cheerleading have physics in it?
Answers
If a force of 10 N acts on an object and an additional force of 6 N acts on the object in
the same direction. What will be the net force be on the object?
4N
60 N
6N
16 N
Answers
Answer:
D
Explanation:
For this kind of problem, forces add. F = F1 + F2
F1 = 6 N
F2 = 10 N
F = 6N + 10N
F = 16N
Matthew was bowling. He bowled with a 12 pound ball at first then used a 10 pound ball. If matthew uses the same amount of force to roll the bowling balls, which one would roll faster?
F- the 12 pound ball
G - they would roll the exact same speed
H - the 10 pound ball
J - none of the above
Answers
Answer:
Rotational inertia depends both on an object's mass and how the mass is distributed relative to the axis of rotation. ... We can't just consider the mass to be concentrated at its center of mass. When a mass moves further from the axis of rotation it becomes more difficult to change the rotational velocity of the system.So the ball with 10 pounds of the ball can have more probability to do an absolute pure rotation along rolling translation.And also the specific material from which it is made up of. As If the body is rigid have the points dont move from their position when a magnitude of force applied then the body woukd perform a well rotation than a resistantant body.
Hope it helps
SCIENCE
Why is the nervous system in the human body a system?
A. It is made of tissues that can conduct electricity, a required function in a system.
B. Like all systems, the nervous system is contained within a living organism.
C. It is made of several components that act interdependently to perform a function as a whole.
D. The nervous system acts together with other systems to control a larger organism
Answers
Answer:
A. It is made of tissues that can conduct electricity, a required function in a system.
Explanation:
The nervous system helps all the parts of the body to communicate with each other. It also reacts to changes both outside and inside the body. The nervous system uses both electrical and chemical means to send and receive messages.
Answer:
D
Explanation:
it is D because a system needs to manage a large organism like us to allow us to live, therefore, needs to work with other systems to keep us alive