The final kinetic energy of the supply spacecraft is [tex]6.4 *10^{11} J[/tex] and final kinetic energy of the supply spacecraft can be found using the work-energy principle.
The work done by the tractor beam force can be found by integrating the force with respect to distance. Since the force is a function of x, we need to express the distance traveled by the spacecraft as a function of x. We know that the spacecraft starts from rest at x = 0 and moves a distance of [tex]4.0 * 10^5 m[/tex], so we have:
[tex]x = 0 + (1/2)ax^2 + 8x[/tex]
We can simplify this expression to:
[tex]x = (1/2)ax^2 + 8x[/tex]
Now we can express the work done by the tractor beam force as an integral:
W = ∫ F(x) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
W = ∫ (ax + 8) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
[tex]W = (1/2) a (4.0 * 10^5)^2 + 8 (4.0 *10^5)[/tex]
[tex]W = 6.4 * 10^{11} J[/tex]
The work done by the tractor beam force is [tex]6.4 * 10^{11} J[/tex].
Since the work done on the spacecraft is equal to the change in kinetic energy of the spacecraft, we have:
W = KE2 - KE
where KE is the initial kinetic energy of the spacecraft, which is zero.
Therefore, the final kinetic energy of the spacecraft is:
[tex]KE2 = W = 6.4 *10^{11} J[/tex]
So the final kinetic energy of the supply spacecraft is [tex]6.4 * 10^{11} J[/tex].
Learn more about work done :
https://brainly.com/question/13662169
#SPJ4
What is the smallest possible value of the principal quantum number n for an s electron?
Answer:
The smallest possible value of the principal quantum number (n) for an electron in an atom is n = 1. This is referred to as the first energy level or the "1s" orbital, and it corresponds to the lowest energy state of an electron in an atom.
Explanation:
In general, the value of n determines the size and energy of the electron orbital. The larger the value of n, the larger the size of the orbital and the higher the energy of the electron. The smallest possible value of n is therefore always 1, and it corresponds to the electron being in its lowest energy state.
You use a ruler marked with 1 mm increments to measure the lengths of the height h of a block and find h = 121 mm. According to the half least count rule, what is the uncertainty in your measurement of the height?
The uncertainty in height is, 0.5 mm.
The "half least count rule" states that the uncertainty in a measurement is equal to half of the smallest division on the measuring instrument. In this case, the ruler is marked in 1 mm increments, so the smallest division is 1 mm.
Using the half least count rule, the uncertainty in the measurement of the height is,
uncertainty = 1/2 * 1 mm = 0.5 mm
Therefore, the uncertainty in the measurement of the height is 0.5 mm. We can express the result as,
h = 121 ± 0.5 mm
To know more about the measurements, here
brainly.com/question/7396705
#SPJ4
using only the electrical specifications, determine how deep the external underground secondary service conduits are installed.
However, typically, electrical codes require that buried secondary service conduits be installed at a minimum depth of 18 inches (45.7 cm) below the surface. In some cases, local codes may require a deeper depth, such as 24 inches (60.9 cm) or more, depending on factors such as soil type, climate, and intended use of the conduit.
It is also important to note that other factors, such as the type and size of conduit, the type of wiring used, and the intended electrical load, may also affect the required burial depth. Therefore, it is essential to consult with local building codes and a licensed electrician or electrical engineer to determine the appropriate depth for installing external underground secondary service conduits.
To know more about Electrical codes, here
https://brainly.com/question/17215290
#SPJ4
A spaceship in outer space has a doughnut shape with 900-m
outer radius. The inhabitants stand with their heads toward the center and their feet on an outside rim.
A.) Over what time interval would the spaceship have to complete one rotation on its axis to make a bathroom scale have the same reading for the person in space as when on Earth’s surface?
The formula for centripetal acceleration within the spacecraft is: ac =The outside radius of a spacecraft's doughnut-shaped body is 440 metres. The people are standing with thier feet on an outer rim and their heads .
What materials make up the Earth's surface?Earth's crust is made of igneous, metamorphic, or sedimentary rocks, which range in composition from mud or clay to diamonds or coal. Igneous rocks, which are created as magma cools, are the most prevalent types of rocks in the crust. Igneous rocks like granite and basalt are abundant in the crust of the Earth.
What precisely is a radius?The distance between any two places on a circle's circumference is in fact its radius. R or r are frequently used to denote it. Almost all calculations involving circles take this quantity into account. The radius of a circle can be used to determine a circle's circumference and surface area.
To know more about acceleration visit:
https://brainly.com/question/12550364
#SPJ1
Microevolution three mechanisms that cause allelic frequencies to change in a population: gene flow, genetic drift, natural selection bottleneck effect founder effect population gene pool stabilizing, directional and disruptive selection hardy-weinberg equilibrium five conditions that must be met in order for population to be in hardy-weinberg equilibrium adptive evolution relative fitness sexual selection sexual dimorphism intrasexual selection intersexual selection neutral variation balancing selection heterozygote advantage hardy-weinberg problems
Microevolution refers to the evolution occurring at species-level involves three mechanisms that cause allelic frequencies to change in a population: gene flow, genetic drift, and natural selection.
Changes in the environment can affect population gene pools on both a small- and large-scale. Microevolution is the process of population-level changes in allele frequency. Some alterations take place at the species level or lower. There are hence variations in allele frequencies between or within groups.
Natural selection is one of the mechanisms of microevolution. It serves as an editor for allele frequency in populations to determine whether individuals with particular features have a higher or lower chance of surviving and procreating. Populations' gene pools can occasionally shift as a result of individuals leaving or entering the community. This transfer of alleles between populations is referred to as gene flow. Genes can "flow" from one area to another just like water does in a river.
To know more about micro-evolution, refer:
https://brainly.com/question/29214880
#SPJ4
A 100-g block of water ice is initially stored in a freezer at -10°C. It is removed
from the freezer and placed on a stove that provides 2000 Joules of heat per
second.
a. (3 pts) How long will it take for the ice to reach its melting point? (assume
4.18 J/g°C for the specific heat capacity of water)
b. (3 pts) The latent heat of fusion of water is 333 J/g. How long will it take
for the ice to completely melt?
c. (3 pts) After the ice has completely melted, how long will it take for the
water to reach the boiling point?
a. The time it takes the ice to reach melting point is: t = 4180 J / 2000 J/s = 2.09 s
b. The time it takes to fully melt is: t = 33300 J / 2000 J/s = 16.65 s
c. The time it takes to reach boiling point after melting is: t = 418000 J / 2000 J/s = 209 s.
Melting Point and Boiling Point Timea. To find the time it takes for the ice to reach its melting point (0°C), we need to calculate the amount of heat required to raise the temperature of the ice block from -10°C to 0°C. The heat required can be calculated using the equation:
Q = m * C * ΔT
where m is the mass of the ice block (100 g)
C is the specific heat capacity of water (4.18 J/g°C)
and ΔT is the change in temperature (0°C - (-10°C) = 10°C).
So, Q = 100 g * 4.18 J/g°C * 10°C = 4180 J
Now, we can use the heat supplied by the stove to calculate the time it takes to raise the temperature of the ice block to 0°C:
t = Q / P
where P is the power supplied by the stove (2000 J/s).
So, t = 4180 J / 2000 J/s = 2.09 s
b. To find the time it takes for the ice to completely melt, we need to calculate the amount of heat required to turn the ice block into liquid water. The heat required can be calculated using the equation:
Q = m * Lf
where m is the mass of the ice block (100 g) and Lf is the latent heat of fusion of water (333 J/g).
So, Q = 100 g * 333 J/g = 33300 J
Now, we can use the heat supplied by the stove to calculate the time it takes to melt the ice block:
t = Q / P
where P is the power supplied by the stove (2000 J/s).
So, t = 33300 J / 2000 J/s = 16.65 s
c. To find the time it takes for the water to reach the boiling point (100°C), we need to calculate the amount of heat required to raise the temperature of the water from 0°C to 100°C. The heat required can be calculated using the equation:
Q = m * C * ΔT
where m is the mass of the water (100 g), C is the specific heat capacity of water (4.18 J/g°C), and ΔT is the change in temperature (100°C - 0°C = 100°C).
So, Q = 100 g * 4.18 J/g°C * 100°C = 418000 J
Now, we can use the heat supplied by the stove to calculate the time it takes to raise the temperature of the water to 100°C:
t = Q / P
where P is the power supplied by the stove (2000 J/s).
So, t = 418000 J / 2000 J/s = 209 s.
Learn more on Melting Point and Boiling Point Time here https://brainly.com/question/40140
#SPJ1
A bag of cookies 6 oatmeal cookies, 5 pecan cookies and 1 peanut butter cookies. Mary selects 2 cookies at random. What is the probability that the selected 2 oatmeal cookies?.
The probability that the selection is made of 2 oatmeal cookies are 1/6.
As per given data in the question:
Oatmeal cookies - 6
Pecan Cookies - 5
Peanut butter cookies - 1
Total cookies in the jar - 12
The probability that the selection is of 2 oatmeal cookies, it is as follows:
P (oatmeal cookies) = 2/12 = 1/6
Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain probable outcome of an event.
Learn more about probability:
brainly.com/question/30034780
#SPJ4
A 4-kg fish swimming at a speed of 2 m/s swallows an absent-minded 1-kg fish at
rest. The speed of the larger fish after lunch is
6/5 m/s.
1 m/s.
5/6 m/s.
2/5 m/s.
8/5 m/s.
In first case speed of fish will be ⅚ m/s.
In the second case the speed of fish ⅙ m/s
Given data :-
Mass of bigger fish ( m₁ ) = 5 kg
Mass of small fish ( m₂ ) = 1 kg.
Speed of large fish ( v₁ ) = 1 m/s
Mass of bigger fish after eating smaller ones = 5 + 1 = 6 kg.
Case - 1
Momentum of bigger fish before eating the smaller fish = m₁* v₁ = 5 * 1 = 5 kg.m/s
Momentum of bigger fish after eating the larger fish = ( m₁ + m₂)*v
v = speed of bigger fish immediately after lunch.
Using the conservation of momentum.
m₁* v₁ = ( m₁ + m₂)*v
5 = 6 * v
v = m/s.
Case -2
Speed of small fish = 4 m/s
Momentum of bigger fish before lunch = 5 kg.m/s
Momentum of smaller fish before lunch = 4*1 = 4 kg.m/s
Net momentum before lunch = 5 - 4 = 1 kg.m/s
Momentum of bigger fish after eating the larger fish = 6 * V
Using the conservation of momentum.
1 = 6 * V
V = m/s.
What is conservation of momentum?
This indicates that a conserved quantity is represented by a variable in an equation that is constant over time. Its value is the same whether an event occurs before or after it.In physics, there are a lot of conserved quantities. For making forecasts in what would otherwise be exceedingly complex situations, they are frequently remarkably useful. There are three fundamental quantities in mechanics that are conserved. These include angular momentum, momentum, and energy. Most often, collisions between objects are described using the principle of conservation of momentum.To know more about conservation of momentum, click the link given below:
https://brainly.com/question/3920210
#SPJ1
Evan is a championship runner of the school's track team. During one of his trials, his speed was measured at 10.1 m/s. Find Evan's kinetic energy during that trial if his mass is 58.6 kg.
Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
What is energy?Energy is defined as the capacity for doing work. It is the ability to cause change or to make things happen. It exists in many forms and can be derived from various sources such as the sun, wind, water, and even nuclear power. Energy can be transformed from one form to another, such as when electricity is generated from the sun or when mechanical energy is converted into electrical energy. Energy can also be stored in batteries, stored in the form of potential or kinetic energy, or even converted into thermal energy.
Kinetic energy (KE) is the energy an object has due to its motion. It is calculated using the equation [tex]KE = 1/2 mv^2[/tex], where m is the mass of the object and v is its velocity.
In Evan's case, his mass is 58.6 kg and his velocity is 10.1 m/s. Therefore, his kinetic energy during the trial can be calculated as follows:
[tex]KE = 1/2 * 58.6 kg * (10.1 m/s)^2KE = 295.99 kg m^2/s^2[/tex]
Therefore, Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
To learn more about energy visit
brainly.com/question/13881533
#SPJ1
In the 2nd lab you were studying water squirting out from a hole in a cylinder filled with water into a tub. Just as a falling ball converts potential energy to kinetic energy, water pressure pushed water out of the hole by converting potential energy per unit volume (density x g x height) to kinetic energy per unit volume (density x velocity^2/2). Assume you have a 20 cm head of water above the hole and that the hole is 40 cm above ground.
What is the horizontal speed at which the water leaves the hole in units of ms^-1?
The horizontal speed at which the water leaves the hole is[tex]4.09 ms^-1.[/tex]
What is speed?Speed is the rate of change of the position of an object in a given direction. It is expressed as the distance traveled per unit of time, typically measured in meters per second (m/s). It is also commonly represented by the symbol ‘v’. Speed is a scalar quantity, meaning it has only magnitude, not direction.
The kinetic energy per unit volume at the point of the hole is equal to the density of the water multiplied by one-half the square of the velocity of the water leaving the hole.
Since these two values are constant across a horizontal streamline, we can set up the following equation:
[tex]ρgh = ρ(v^2/2)[/tex]
Solving for v, we get:
[tex]v = √(2gh)[/tex]
Plugging in the values for the height of the water above the hole (h = 0.4 m) and the acceleration due to gravity[tex](g = 9.81 ms^-2)[/tex], we get:
[tex]v = √(2*9.81*0.4) = 4.09 ms^-1[/tex]
Therefore, the horizontal speed at which the water leaves the hole is [tex]4.09 ms^-1.[/tex]
To learn more about speed visit
brainly.com/question/3004254
#SPJ1
Continue where the red line would would go
Refraction would cause the red light to bend at the air/glass boundary.
What is refraction?While the question is unclear, I assume that you are trying to know something about the refraction of the red light across the air/glass boundary. I will tell you something about refraction!
Refraction is a phenomenon of light where it changes direction when it enters a medium with a different refractive index. Refractive index is a measure of how much a medium bends light that passes through it. When light passes from a medium with a lower refractive index to a medium with a higher refractive index, it bends towards the normal (an imaginary line perpendicular to the surface at the point of incidence). On the other hand, when light passes from a medium with a higher refractive index to a medium with a lower refractive index, it bends away from the normal.
Learn more about refraction:https://brainly.com/question/14760207
#SPJ1
Where on the physical activity pyramid do sedentary activities belong? a. A b. B c. C d. D please select the best answer from the choices provided.
In the physical activity pyramid, sedentary activities belong to Level D.
The Physical Activity Pyramid is a graphic representation of the different types of physical activities that are recommended for a healthy lifestyle.
The pyramid is divided into four levels, with the most important activities at the bottom and the least important at the top. The greatest and most significant activities for healthy everyday life are at the bottom and the least healthy activities at the top, which you should only perform occasionally.
Sedentary activities, which are activities that involve little or no physical movement, belong at the top of the pyramid, in Level D.
Level D is the smallest section of the pyramid, and it represents activities that should be limited in order to maintain good health.
Hence, option D is the correct choice.
For a similar question on the Physical Activity Pyramid,
https://brainly.com/question/18893749
#SPJ4
A 1500 kg car traveling east at 20 m/s collides with a moving 2500 kg truck moving 30 m/s west.. After they collide, the two interlock and move together. What was the final velocity of the truck? (Hint-momentum is a vector and direction matters, use + or - values as appropriate)* A. 11.25 m/s west B. 11.25 m/s east C. 32.6 m/s east D. 32.6 m/s west
The final velocity of the truck after the collision is -11.25 m/s.
A. 11.25 m/s west How to find the final velocity?In this collision, the total momentum of the system before the collision is equal to the total momentum of the system after the collision, since momentum is conserved. The total momentum of the system before the collision can be found by adding up the momenta of the car and truck.
The momentum of the car is given by:
= mass of car * velocity of car
= 1500 kg * 20 m/s = 30000 kg m/s (east)
The momentum of the truck is given by:
= mass of truck * velocity of truck
= 2500 kg * -30 m/s
= -75000 kg m/s (west)
The total momentum of the system before the collision is given by:
30000 kg m/s + (-75000 kg m/s) = -45000 kg m/s
The total mass of the system is given by:
total mass = mass of car + mass of truck = 1500 kg + 2500 kg = 4000 kg
The final velocity of the system is given by:
final velocity = -45000 kg m/s / 4000 kg = -11.25 m/s
Since the final velocity is negative, it means that the system is moving west, which is the direction of the truck's initial velocity.
Learn more about momentum at:
https://brainly.com/question/18798405
#SPJ1
Question 6 of 10
When making a winter coat, you should pick a fabric that has which
characteristic?
A. Heavyweight
OB. Warm
C. Resistant to wear
D. All of the above
Answer: Warm
Explanation:
A ball strikes the floor for 0.0105 s and experiences a change in momentum of 1.52 kg·m/s. What is the force experienced by the ball?*
A.1.60 N
b. 144.76 N
c.23.82 N
d. 0.016 N
Answer: B is right
Explanation: Change in Momentum / Time Therefore, the force experienced by the ball is: Force = 1.52 kg·m/s / 0.0105 s Force = 144.76 N Answer: B. 144.76 N
How much of the total energy in Problem 3 and 4 has been transformed to kinetic energy?
Answer:
Explanation:To find the change in kinetic energy, we subtract the initial energy from the final energy. This answer in positive because the car gains energy when it increases its velocity.
The energy of the flower pot is potential energy. The potential energy of the flower pot when it weighs 3 N in a height of 300 m is 900 J.
What is potential energy ?Potential energy of an object is the energy generated by virtue of its position whereas, kinetic energy is the energy generated by virtue of its motion.
Potential energy = mass x gravity x height
Given the weight of the flower pot is 3N. That is the force by gravity. Then displacement = 300 m.
Thus, P = 3 m × 300 m = 900 J.
If the flower pot is placed at a height of 10 m, the potential energy reduces as follows:
Potential energy = 3 x 10 m = 30 J.
Remaining energy is converted to the kinetic energy
ie. 900 J - 30 J = 870 J
Therefore, 870 J is transformed to kinetic energy.
Find more on potential energy:
https://brainly.com/question/15764612
#SPJ2
Your question is incomplete. But your complete question probably was:
A flower pot weighing 3 newtons is sitting on a windowsill 300 meters from the ground is the energy of the flower pot potential of kinetic? How many joules is this?
When the flower pot in problem 3 is only 10 meters from the ground, what is its potential energy?
How much of the total energy in problems 3 and 4 has been transformed to kinetic energy?
b) A ball is kicked by a footballer. The average force on the ball and the impact last for time interval 0.25 s. Calculate the cha momentum and also state the direction of change in more (Ans: 60 kg m/s) b)
60 kg m/s is the answer because you gave it and I thought you are telling ruth also you are a big questioner and also you should check with your doctor and go out and go touch the grass.
"If your primary goal is to build strength and increase muscle mass, you could____
increase the amount of aerobic activity
expand the number of anaerobic activities per week
complete workout sets of high repetitions and low weight (example: 3 sets of 20 repetitions with 5lb or less)
If one's primary goal is to build strength and increase muscle mass, completing workout sets of high repetitions and low weight is correct that is the last option, as the aerobic activity would not increase the muscle.
What is the importance of the muscle-building exercise?Anaerobic activities should be prioritized because they force the muscles to work at high intensity for short periods of time; this type of training is typically done with heavy weights for fewer repetitions and sets and builds the muscles.
Hence, if one's primary goal is to build strength and increase muscle mass, completing workout sets of high repetitions and low weight is correct that is the last option, as the aerobic activity would not increase the muscle.
Learn more about the muscle-building exercise here.
https://brainly.com/question/7991599
#SPJ1
IP An expectant father paces back and forth, producing the position-versus-time graph shown in the figure
Calculate the numerical value of the father's velocity for segment C
(part a)
Calculate the numerical value of the father's velocity for segment D.
(part b)
An expectant father paces back and forth. The value of C in units is 1 m/s; The value of D in units is -1.5 m/s.
What is velocity?The speed and direction of an object's motion are measured by its velocity. It is a vector quantity, which means that it has magnitude (or direction) and magnitude (or size). Meters per second (m/s) is a common unit of velocity. It is the rate at which an object moves in a specific direction. Typically, velocity is calculated by taking the time derivative of the position function.
Fathers Velocity for Segment C,
[tex]V_{c}[/tex] = (3- 2)/(3-2)
[tex]V_{c}[/tex] = 1 m/s
Fathers Velocity for Segment D,
[tex]V_{d}[/tex] = (0 - 3)/(5 - 3)
[tex]V_{d}[/tex] = -3/2
[tex]V_{d}[/tex] = - 1.5 m/s
Learn more about velocity:
brainly.com/question/24445340
#SPJ1
(1 of 5)
Drag the phase slider left and right to move the planet into and out of transit mode. The
normalized flux (relative amount of star light reaching an observer on Earth) when the
planet is off to the side (not transiting) is
while the normalized flux when the planet
is transiting is. (Hint: examine the plot at the top of the applet while you move the
phase slider. The number you are looking for is on the left of the plot.)
O 1.000, 0.990
O 0.990,1.000
O 1.00000, 0.99995
O 0.99995,1.00000
Drag the phase slider left and right to move the planet into and out of transit mode. The normalized flux (the relative amount of starlight reaching an observer on Earth) when the planet is off the side (not transiting) is 0.990 while the normalized flux when the planet is transiting is 1.000. Thus, the correct option for this question is B.
What is Normalized flux?Normalized flux may be characterized as a type of key methodology in spectral data mining. It is important for the efficiency and accuracy of the automatic processing of massive astronomical spectral data, information extraction, and sharing.
A transit occurs when a planet passes between a star and its observer. Transits within our solar system can be observed from Earth when Venus or Mercury travel. The frequency of the normalized flux when the planet is transiting is completely different from when the planet is off the side.
Therefore, the correct option for this question is B.
To learn more about the Phase slider, refer to the link:
https://brainly.com/question/16552168
#SPJ1
Answer: 1.000,0.990 (correct)
Explanation:
1. Which of the resistors are in parallel connection? Which of the resistors are in series connection?
Answer:
Explanation: In a series circuit, the output current of the first resistor flows into the input of the second resistor; therefore, the current is the same in each resistor. In a parallel circuit, all of the resistor leads on one side of the resistors are connected together and all the leads on the other side are connected together.
3. What is the velocity of a 1.5 kg ball that has a momentum of 4.5 kg*m/s?
If a 1.5 kg ball has a momentum of 4.5 kg*m/s, the velocity of the ball is 3 m/s.
How to find the velocity of the ball?According to the question, the given quantity is,
Mass of the ball = 1.5 kg
The momentum of the ball = 4.5 kg. m/s
The momentum is defined as the product of the mass of the object and the velocity of the object, so p = mv.
p = momentum of an object
m = mass of an object
v = velocity of an object
According to question the given value outs in the formulae,
p= mv
4.50 = 1.50 × v
v = 4.50/ 1.50
v = 3 m/s.
Therefore, the velocity of the ball is 3 m/s.
Learn more about velocity, here:
https://brainly.com/question/2451846
#SPJ9
4. A skier with a mass of 55 kg is skiing down a snowy slope that has an incline of 30°. Find the coefficient of kinetic friction for the skier if friction is known to be 25 N.
The coefficient of kinetic friction for the skier if the magnitude of frictional force is 25N will be 0.04638.
What is Kinetic friction?Kinetic friction can be defined as a force which acts between the moving surfaces. A object moving on the surface experiences a force in the opposite direction of the movement. The magnitude of the force will also depend on the coefficient of kinetic friction between the two objects.
F = μk Fn
where, F is the frictional force,
μk is the coefficient of kinetic friction,
Fn is the normal force
Fn = mass × acceleration due to gravity
Fn = 55 × 9.8
Fn = 539N
F = μk Fn
F = 25N,
25 = μk × 539
μk = 25/ 539
μk = 0.04638
Therefore, the coefficient of kinetic friction will be 0.04638.
Learn more about Kinetic friction here:
https://brainly.com/question/13754413
#SPJ9
A heart pacemaker fires exactly 71
times a minute. Each time it fires, a 33.0 nF
capacitor is charged by a battery in series with a resistor to 0.732
of its full voltage. What is the value of the resistance
?
The value of the resistance is approximately 0.047 kΩ.
What is Resistance?
Resistance is a measure of how much a material or device opposes the flow of electric current through it. Resistance is typically denoted by the letter R and is measured in Ohms (Ω) in the International System of Units (SI).
We can use the formula for the charging of a capacitor through a resistor:
V = V_0 * (1 - e^(-t/RC))
where V_0 is the initial voltage, V is the final voltage, t is the time, R is the resistance, and C is the capacitance.
In this case, the capacitor is charged 71 times per minute, so the time between charges is:
t = 60 s / 71
= 0.845 s
The capacitor is charged to 0.732 of its full voltage, so the fraction remaining is:
1 - 0.732 = 0.268
0.268 = e^(-0.845/RC)
Solving for RC, we get:
RC = -0.845 / ln(0.268) ≈ 1.42 s
Since we know the capacitance C is 33.0 nF, we can solve for the resistance R:
RC = R * C
= 1.42 s * 33.0 nF
= 0.0468 ≈ 0.047 kΩ
Therefore, the value of the resistance is approximately 0.047 kΩ.
Learn more about Resistance from given link
https://brainly.com/question/17563681
#SPJ1
A laser beam of wavelength 700 nanometers, traveling at a speed of 3.0 x 108 m/s,
is shot from outer space toward earth. What is the frequency of the laser beam?
A. 3.0 x 10^8 Hz
B. 700 x 10^-9 Hz
C. 210 Hz
D. 4.3 x 10^14 Hz
E. 233 x 10^-17 Hz
Answer:
The correct option is D. 4.3×10¹⁴ Hz
Explanation:
It is because the frequency and the wavelength are inversely proportional to each other.
So, c=f × lambda
And, frequency = velocity/wavelength
The frequency of the laser beam is D. 4.3×10¹⁴ Hz
What is the difference between frequency and hertz (Hz)?One hertz (Hz) equals one cycle per second. A complete AC or voltage wave is called a cycle. The first half of the cycle is alternating. Period is the time it takes a waveform to complete a complete cycle. Frequency is essentially how often something repeats.
The rate at which the current changes direction in one second is called the frequency. Expressed in hertz (Hz), the international unit of measurement. One hertz equals one cycle per second.
It is because the frequency and the wavelength are inversely proportional to each other.
So, c=f × lambda
And, frequency = velocity/wavelength
To learn more about frequency visits:
https://brainly.com/question/14316711
#SPJ1
Complete Question is:
A laser beam of wavelength 700 nanometers, traveling at a speed of 3.0 x 108 m/s,
is shot from outer space toward earth. What is the frequency of the laser beam?
[tex]A. 3.0 x 10^8 HzB. 700 x 10^-9 HzC. 210 HzD. 4.3 x 10^14 HzE. 233 x 10^-17 Hz[/tex]
Distinguish selective attention and habituation?
An asteroid is travelling through the solar system at a constant velocity. Which of the following
choices correctly models the forces acting on the asteroid?
Answer:
The forces acting on an asteroid include gravity from the Sun and other celestial bodies, radiation pressure from the Sun, and the pressure from interplanetary gas and dust. The gravitational forces will act to pull the asteroid towards the Sun, while the radiation pressure and interplanetary gas and dust will act to push it away. The net force acting on the asteroid will determine its path and velocity through the solar system.
Explanation:
A planet of mass 6 × 10^24 kg is at location ‹ −3 × 10^11, 8 × 10^11, 0 › m. A star of mass 7 × 10^30 kg is at location ‹ 7 × 10^11, −5 × 10^11, 0 › m. What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.)
The force exerted on the planet by the star is 3.52 x 10²² N.
What is Newton's law of gravitation?Newton's law of gravitation is a fundamental law of physics that describes the force of gravitational attraction between two objects with mass. The law was first described by Sir Isaac Newton in 1687 and is one of the three laws that form the basis of classical mechanics.
To find the force exerted on the planet by the star, we can use Newton's law of gravitation, which states that the force between two objects with masses M1 and M2 and a distance r between their centers is given by:
F = G × M1 × M2 / r²
where G is the gravitational constant, which has a value of 6.67 x 10⁻¹¹ N*m²/kg².
We can first calculate the distance between the planet and the star by taking the difference between their positions:
r = √[(7 x 10¹¹ - (-3 x 10¹¹))² + (-5 x 10¹¹ - 8 x 10¹¹)² + 0²] = 1.38 x 10¹² m
Next, we can calculate the force exerted on the planet by the star:
F = G × M1 × M2 / r²
F = (6.67 x 10⁻¹¹ N*m²/kg²) × (6 x 10²⁴ kg) × (7 x 10³⁰kg) / (1.38 x 10¹² m²)
F = 3.52 x 10²²N.
To know more about Newton's law of gravitation, visit:
https://brainly.com/question/9373839
#SPJ1
Blood flows through a major artery at 1.2 m/s over a distance of 0.50m then at 0.70 m/s for another 0.50 m through a smaller artery.
Is the average speed of the blood 0.95 m/s greater than 0.95 m/s or less than 0.95 m/s (part a)
Verify your answer to Part A by calculating the average speed.
(part b)
The average speed of the blood is less than 0.95 m/s and the average speed is 0.884 m/s.
What is average speed?
Average speed is a measure of the rate of change in position of an object over a certain period of time. It is calculated by dividing the total distance traveled by the total time taken. In other words, it is the rate at which an object covers a given distance. Average speed is useful in determining the efficiency of a vehicle, or of a person, in covering a particular distance. For example, if a person drives for 2 hours and travels a total distance of 200 kilometers, the average speed of the body is 100 km/hr (200km / 2 hrs).
The average speed is,
[tex]V_{avg} = \frac{d_{1}+ d_{2} }{\frac{d_{1} }{V_{1} }+ \frac{d_{2} }{V_{2} } }[/tex]
[tex]= \frac{0.50m + 0.50m}{\frac{0.50m}{1.2m/s}+\frac{0.50m}{0.70m/s} }[/tex]
= 0.884 m/s
Due to the average speed is 0.884 m/s the average speed of the blood becomes less than 0.95 m/s.
Therefore, the average speed of the blood is less than 0.95 m/s and the average speed is 0.884 m/s.
To learn more about average speed from the link
https://brainly.com/question/4931057
#SPJ1
A car driving at a constant speed of 20 m/s (meters per
second) turns right, down a street.
1. Is the car accelerating during the turn? Why or why not?
2. Would you feel any of the movement during this event?
Why or why not?
EXTRA HELP
What is changing as the car turns? What changes qualify as
an acceleration? How can you feel acceleration?
Answer:
it is accelerating because it is at constant speed.
