Answer:
4 hours
Explanation:
2160 miles ÷ 540 miles/hr = 4
An airplane flies with a constant speed of
780 miles per hour. How long will it take to travel a distance of 2535 miles?
Answer:
3 hours 18 minutes
Explanation:
2535 miles ÷ 780miles/hr = 3.30 which is 3 hrs and 18min
Silver has a density of 10. 5g/cm3 and gold has a density of 19. 3g/cm3. Which would have a greater mass, 5cm3 of silver or 5cm3 of gold ?
Gold has a greater mass than silver,
5cm³ of gold has a mass of 5 × 19.3g/cm³ = 96.5g,
While 5cm³ of silver has a mass of 5 × 10.5g/cm³ = 52.5g.
To compare the masses of 5 cubic centimeters (cm³) of silver and gold, we need to multiply their densities by the volume.
For silver:
[tex]mass = density * volume[/tex]
= mass
=[tex]10.5 g/cm^3 * 5 cm^3[/tex]
= 52.5 g
For gold:
[tex]mass = density * volume[/tex]
= mass
= [tex]19.3 g/cm^3 * 5 cm^3[/tex]
= 96.5 g
Hence, 5 cm³ of gold has a greater mass than 5 cm³ of silver, 96.5 g > 52.5 g.
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if the solar system were scaled down in size so that the sun were as big as a cantaloupe, neptune would be as big as: group of answer choices a cantaloupe. a pea. a sesame seed. a grape.
The correct option is Grape. Assuming the sun is scaled down to the size of a cantaloupe, Neptune would be approximately the size of a grape.
The actual diameter of the sun is about 1.39 million kilometers, while the diameter of Neptune is about 49,244 kilometers. This means that the sun is about 28 times larger than Neptune. If we scale down the sun to the size of a cantaloupe, which has a diameter of about 13 centimeters, then Neptune would have a diameter of approximately 0.46 centimeters, which is about the size of a grape.
To give you a better idea of the scale involved, let's compare the sizes of the sun and Neptune in their actual sizes. The sun has a diameter of about 1.39 million kilometers, while Neptune has a diameter of about 49,244 kilometers. This means that the sun is over 28 times larger than Neptune in diameter.
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a thin uniform cylindrical turntable of radius 2.1 m and mass 34 kg rotates in a horizontal plane with an initial angular speed of 7.7 rad/s. the turntable bearing is frictionless. a clump of clay of mass 12 kg is dropped onto the turntable and sticks at a point 1.1 m from the point of rotation. treat the clay as a point mass. find the angular speed of the clay and turntable.
The clay's angular speed is 6.45 rad/s.
The energy loss to thermal energy is 1500.51 J
This is defined as the attribute of any rotating object that is supplied by the moment of inertia multiplied by the angular velocity.
The conservation of angular momentum principle states that angular momentum remains constant until an external force is applied.
L = angular momentum (I*)
where I denotes the moment of inertia and w denotes the angular speed
Angular momentum previously: Lb = It*0
Angular momentum following: La = (It + Ic)*1
(It + Ic)*1 = It*0
1 = the angular velocity after
0 = 1*[It/(It + Ic)])
ω₁ = I₀ω₀ / I₁
I0 = The turntable's moment of inertia
A cylinder's moment of inertia Equals 12mr2.
I₀ = ½(34)(2.1) (2.1) = 74.97 kgm²
I₁ = I0 + I(clay) = 74.97 kgm2 + m(clay)*r(clay)2 = 74.97 kgm2 + (12)*(1.1)² = 89.49 kgm²
1 = I0/I1 = 74.97*7.7/89.49= 6.45rad/s
Energy conversion to thermal energy
Some energy is wasted when the clay deforms and clings to the turntable, therefore energy is not preserved. We can conclude:
E₁= ½I₁ω₁² = ½ × 89.49 × 6.45² = 3723.007
E₀ = ½I₀ω₀² = ½ × 74.97 × 7.7² = 2222.496
Et= E₁ - E₀ = 3723.007-2222.496 = - 1500.51 J
This number is negative, indicating that 1500.5 J of thermal energy was wasted.
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the fluid flowing through the stationary orifice plate is water . the net force needed to hold the plate to the pipe is nearly:
The net force needed to hold the plate to the pipe is nearly the fluid flowing through the stationary orifice plate is [tex]F = p_1A_1+m(V_1-V_2)-p_2A_2[/tex].
Write the momentum equation at the inlet and the exit of the orifice plate.
[tex]p_1A_1-F-p_2A_2=m(V_2-V_1)\\\\F = p_1A_1+m(V_1-V_2)-p_2A_2[/tex]
Here, the inlet pressure is [tex]p_1[/tex] the speeds at the intake and exit are [tex]V_1[/tex] and ,
[tex]V_2[/tex] the fluid's density is, the nozzle's force on water is, the area at the inlet is, [tex]A_1[/tex] and [tex]A_2[/tex] as well as the area near the exit .
Net force is the vector sum of forces acting on a flyspeck or object. The net force is a single force that replaces the effect of the original forces on the flyspeck's stir. It gives the flyspeck the same acceleration as all those factual forces together as described by Newton's alternate law of stir.
It's possible to determine the necklace associated with the point of operation of a net force so that it maintains the movement of spurts of the object under the original system of forces.
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what is the linear velocity in miles per hour of the tip of a lawnmower blade spinning at 2500 revolutions per minute in a lawnmower that cuts a path that is 22 inches wide?
The linear velocity in miles per hour of the tip of the lawnmower blade spinning at 2500 revolutions per minute in a lawnmower that cuts a path 22 inches wide is approximately 2.724 miles per hour.
To determine the linear velocity in miles per hour of the tip of the lawnmower blade, we need to use the following formula:
v = ωr
Where:
v is the linear velocity of the tip of the lawnmower blade in miles per hour
ω is the angular velocity of the lawnmower blade in radians per minute
r is the radius of the lawnmower blade.
We know that the lawnmower blade is spinning at 2500 revolutions per minute. To convert revolutions per minute to radians per minute, we need to multiply by 2π. So, the angular velocity of the lawnmower blade is: ω = 2500 rpm * 2π/60 = 261.66 rad/min
The lawnmower blade's radius is half the width of the path it cuts. Since the path is 22 inches wide, the radius is: r = 22 inches / 2 = 11 inches. To convert inches to miles, we need to divide by 63,360 (the number of inches in a mile). So, the radius in miles is:
r = 11 inches / 63,360 inches/mile = 0.0001736 miles
Now, we can use the formula to find the linear velocity:
v = ωr = 261.66 rad/min * 0.0001736 miles = 0.0454 miles/min
To convert miles per minute to miles per hour, we need to multiply by 60. So, the linear velocity in miles per hour is:
v = 0.0454 miles/min * 60 min/hour = 2.724 miles/hour
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Linear velocity in miles per hour of the tip of a lawnmower blade spinning at 2500 revolutions per minute in a lawnmower that cuts a path that is 22 inches wide is 2.724 miles per hour.
Velocity is the rate of change in position of an object with the specific time period or time range . When the object moves along a straight path or the linear path with a particular velocity than that velocity is termed linear velocity. It is given as the ratio of distance covered to time.
The linear velocity formula is v = d/t.
v = ωr
v is linear velocity
ω is angular velocity
r is radius
v = ωr = 261.66 rad/min * 0.0001736 miles = 0.0454 miles/min
v = 0.0454 miles/min * 60 min/hour = 2.724 miles/hour
Angular velocity is basically a time rate at which an object rotates, or an object revolves, about an axis, or the rate at which angle of the body changes.
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does this nebula contain any uranium? choose one: a. yes, all uranium is derived from the crab nebula explosion. b. no, only the first five elements existed when the crab nebula exploded. c. no, because the crab nebula is a first-generation stellar nursery. d. yes, because the crab nebula represents a supernova explosion whose extreme high temperatures allowed for the formation of heavier elements.
Answer:
Explanation:
Since a neutron star is observed in the center of the Crab Nebula, it is believed that the star that went supernovae was a massive star, many times larger than the sun. When this star ran out of fuel it collapsed to a neutron star, and the outer layers were violently thrown off to form the supernova explosion.
. how was a lambda maximum (wavelength maximum) empirically determined? did your maximum coincide with the published maximum?
The wavelength known as lambda max provides information on the energy level of incoming radiations that a substance absorbs during its excitation.
Explain the method to find lambda maximum?Wavelength provides information on the radiation's intensity upon entry. It is crucial to spectroscopy because certain compounds exhibit peaks that are unique to their substituent r groups.
To begin a quantitative study, you must first determine the compound's lambda maximum in an appropriate solvent .You must create a calibration curve for the working range at lambda maximum using your standard compound at various concentrations in an effort to make the calibration curve relatively linear and regression constant (R2) values as close to 1.Always remember to include the dilution factor when calculating the concentration when preparing your compound for that solvent (if the amount of your component is out of range, dilute the sample).To achieve the absorbance value of 2, you must absorb the most.
A = 2-log%T in the equation.
If your substance has a greater absorbance, dilute it accordingly to attain the highest absorbance possible.
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a horseshoe magnet is moved toward a pile of iron shavings. the iron shavings divide and attach to both ends of the magnet. how does the kinetic energy of the system change? (1 point) responses kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy decreases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the opposite direction of magnetic force. kinetic energy increases because iron shavings move in the direction of magnetic force.
The correct answer is "kinetic energy decreases because iron shavings move in the direction of magnetic force."
When a horseshoe magnet is moved near a pile of iron shavings, the magnet's magnetic force attracts the shavings, causing them to move toward the magnet. As a result, the iron shavings begin to align along the magnet's magnetic field lines, attaching to both ends of the magnet.
Because the iron shavings are moving in the direction of the magnetic force, they are doing work against it, and this work is transferred from their kinetic energy to the system's magnetic energy. The system's kinetic energy is reduced as a result.
As a result, the correct answer is that kinetic energy decreases as iron shavings move in the direction of magnetic force.
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a skier starts from rest and slides 9.00 m down a slope in 3.00 s. in what time after starting will the skier acquire a velocity of 24.0 m/s?
A skier starts from rest and slides 9.00 m down a slope in 3.00 s, in a 12.0 s from the starting will the skier acquire a velocity of 24.0 m/s.
we have t = 3.0 s, Vix = 0 and x = 9.0 m.
x=ut+1/2at^2
a=2x/t^2
a=18/3*3=2.0m/sec^2
Vfinal = Vinitial+at
t= Vfinal-Vinitial/a
t=24/2=12 sec
Here a stands for acceleration which is basically rate of change of velocity
t stands for time period
u stands for initial velocity
The second equation of motion gives the displacement of an object under constant acceleration: x = x 0 + v 0 t + 1 2 a t 2 .
A skier starts from rest and slides 9.00 m down a slope in 3.00 s, in a 12.0 s from the starting will the skier acquire a velocity of 24.0 m/s.
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Find the difference in potential consumed by a blower of 3.0 x 10 e2 j/s and a current of 3 c/s in a time of 5.10min.
The blower uses 100 volts of the difference in potential when consumes current of 3 c/s in a time of 5.10min
What materials make up an electric bulb?The bulb is filled with a gas, typically a mixture of nitrogen and argon, that reduces the oxygen in the bulb to help stop the filament from burning. A filament with a high electric current resistance is made of a special wire, usually tungsten.
First, we should convert the power and the time:
Power of blower = 3.0 x 10² J/s
= 3.0 x 10² W
Time = 5.10 min
= 5.10 x 60 s
= 306 s
Now, Charge = I × t
= 3 A × 306 s
= 918 C
Finally, we can calculate the potential difference consumed:
ΔV = P × t / Q
ΔV = (3.0 x 10² W) × (306 s) / (918 C)
ΔV = 100 V
When a switch is pressed, how does a bulb turn on?An electrical circuit is completed when a switch is turned on, allowing electric current to flow through its wires. Through the switch, along the wires, and into the light bulb, the current flows from the power source.
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A pump is used to spray water from a pool, determine
the maximum power of the pump. If 40 litres of water
water from a pool, determine
is pumped per minute and the spray reaches the maximun
height of 60m (assume that I litre of water has a mass
of 1 kg and that g = 10ms ²²).
The maximum power of the pump is 24,000 W.
How did we get the value?To determine the maximum power of the pump, we need to calculate the work done by the pump in lifting the water to a height of 60m.
First, we need to find the weight of the water that is pumped per minute:
40 litres of water * 1 kg/litre = 40 kg
Next, we can calculate the work done by the pump using the formula for work done by a force:
W = F * d
Where W is the work done, F is the force applied and d is the distance moved.
Since the weight of the water is the force acting on it, we can use that in the above formula:
W = 40 kg * 10 m/s^2 * 60 m = 24,000 J/minute
Finally, we can convert the work done per minute to power, using the formula:
P = W / t
Where P is the power and t is the time taken.
Since we know that 40 litres of water are pumped in 1 minute, we can use that as t:
P = 24,000 J/minute / 1 minute = 24,000 W
So, the maximum power of the pump is 24,000 W.
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32. you are riding an elevator that is in motion. using a spring balance calibrated in newtons, you notice that a 10.0 kg hanging mass reads 120 n on the scale. what is the acceleration of the elevator?
The acceleration of the elevator is [tex]2.19 m/s^2[/tex], calculated using Newton's second law and the forces on the hanging mass.
The acceleration of the elevator can be determined by analyzing the forces acting on the hanging mass. When the elevator is in motion, the hanging mass is subjected to two forces: its weight (mg), which always points downward, and the tension force in the spring scale, which is equal in magnitude but opposite in direction to the weight (since the mass is not accelerating vertically).
Using Newton's second law of motion (F=ma), we can set up the following equation:
T - mg = ma
where T is the tension force in the spring scale, m is the mass of the hanging mass (10.0 kg), and a is the acceleration of the elevator (which we want to find).
Substituting the given values, we get:
120 N - (10.0 kg)[tex](9.81 m/s^2)[/tex] = (10.0 kg) a
Simplifying and solving for a, we get:
a = (120 N - 98.1 N) / (10.0 kg) =[tex]2.19 m/s^2[/tex]
Therefore, the acceleration of the elevator is [tex]2.19 m/s^2[/tex].
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A 1500 kg 1500 kg elevator initially moving upward at 7.0 m/s 7.0 m/s slows to a stop in 3.5 seconds 3.5 seconds. Assuming there is no friction involved in the stopping procedure, what is the tension ( T T) in the supporting cable while the elevator slows to a stop?
When the elevator comes to a stop, the supporting cable is held at -3000 N of tension.
What is Force?A force that is transmitted when a rope, cable, or string is pulled tight is tension. The pulling force that an object exerts on a rope, cable, or string transmits along its length to another object that is attached to the other end is known as tension. The force along the length of a rope or cable that is being stretched or pulled is known as tension in physics.
We must determine the elevator's net force in order to determine the supporting cable's tension. The sum of the elevator's acceleration and mass creates this net force. As a result of the elevator's slowdown in this instance, its acceleration is negative (opposing its velocity).
The elevator's acceleration can be determined using the equation for average acceleration:
where a = (v_f - v_i) / t
The elevator's acceleration is denoted by a, the elevator's final velocity is denoted by v_f, and the initial velocity is denoted by v_i, which is 7.0 m/s. The time interval is denoted by t, which is 3.5 seconds.
a = (0 - 7.0) / 3.5
a = -2.0 m/s²
The net force on the elevator is given by the equation:
F_net = m × a
where:
F_net is the net force on the elevator
m is the mass of the elevator (1500 kg)
a is the acceleration of the elevator (-2.0 m/s²)
Substituting the values:
F_net = 1500 × -2.0
F_net = -3000 N
Since the cable is the only force , the tension (T) in the cable must be equal to the net force:
T = F_net
T = -3000 N
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a 206000 kg jet has a take-off speed of 95 m/s. neglecting drag, what constant thrust force would the engines have to provide to take off at the end of a 1450 m runway?
The engines would need to provide a constant thrust force of approximately 6,040,375 N to allow the 206000 kg jet to take off at the end of a 1450 m runway, assuming negligible drag.
To determine the thrust force required for the jet to take off, we can use the equation:
Thrust force = (1/2) * (mass of jet) * [tex](take-off speed)^2[/tex] / (distance of runway)
Plugging in the given values, we get:
Thrust force = (1/2) * (206000 kg) * [tex](95 m/s)^2[/tex] / (1450 m)
Thrust force = 6,040,375 N
The thrust force required for a jet to take off at the end of a runway can be determined using the equation that takes into account the mass of the jet, take-off speed, and the distance of the runway. Neglecting drag, the engines would need to provide a constant thrust force of approximately 6,040,375 N for a 206000 kg jet to take off at the end of a 1450 m runway.
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11. Circle the letter of each sentence that is true about static charges.
a. An object can gain a static charge by gaining or losing protons.
b. Static charges are transferred between objects until both have the same charge or no charge.
c. An object without a static charge cannot gain or lose electrons.
d. Different objects can gain or lose static charges at different rates.
The correct statement include:
(a) An object can gain a static charge by gaining or losing protons.
(b) Static charges are transferred between objects until both have the same charge or no charge.
(d). Different objects can gain or lose static charges at different rates.
What is static charge?Static charges are transferred between objects until both have the same charge or no charge:
When two objects come into contact, or are placed near each other, electrons can be transferred from one object to the other. The object that loses electrons becomes positively charged, and the object that gains electrons becomes negatively charged. This transfer of electrons continues until both objects have the same charge or no charge.
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which of the following are characteristics of a planet? choose one or more: must have cleared its orbit of debris cannot orbit a planet must have an atmosphere must show no signs of life roughly spherical/surface smoothed by gravity must be within 30 au of the sun
Roughly spherical/surface smoothed by gravity and must be within 30 AU of the Sun. Mass is the amount of matter a planet contains and is typically measured in kilograms. Size is the diameter of a planet and is typically measured in kilometers.
What is a roughly spherical/surface?Roughly spherical/surface refers to a shape or object that has a generally round or curved shape, but with some irregularities on its surface.
Examples include planets, apples, and even some rocks. This type of shape is often used for objects that need to be able to roll or move in some way, since the curved shape helps it move more easily.
The surface of the Earth is a roughly spherical surface, as it has small bumps and hills, valleys, and other imperfections that make it slightly misshapen .Planet characteristics include their mass, size, surface gravity, orbital period, atmosphere, and distance from the sun.
Surface gravity is the force of gravity on a planet's surface and is typically measured in meters per second squared. Orbital period is the amount of time it takes for a planet to make one full orbit around the sun and is measured in years.
Atmosphere is the gases that make up a planet’s air, such as oxygen, nitrogen, and carbon dioxide, and is measured in pressure.
Therefore, Distance from the sun is the average distance from the center of the sun to a planet and is measured in astronomical units.
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which, if either, tone is likely to be more difficult to detect in the same continuous broadband masking noise: a 1500-hz tone or a 4000-hz tone?
With the same continuous broadband masking noise, the 4000-Hz tone is probably harder to distinguish than the 1500-Hz tone.
Generally speaking, lower-frequency noises are more easily concealed or drowned out by ambient noise than higher-frequency ones. Lower-frequency sounds have longer wavelengths than higher-frequency ones, making them more susceptible to interference and phase cancellation from the noise.
Consequently, compared to the 1500-Hz tone, the 4000-Hz tone is perhaps more challenging to distinguish from the same continuous broadband masking noise. The 4000-Hz tone is more sensitive to being masked by background noise because of its higher frequency and shorter wavelength.
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two objects attract each other with a gravitational force of 18 units. the mass of one of the objects was tripled, and the distance between the objects tripled, what would be the new gravitational force of attraction between the two objects?
Answer:
6 units
Explanation:
Gravitational force between two objects is given by the equation
[tex]F = G \dfrac{m_1m_2}{r^2}[/tex]
where
[tex]G =[/tex]universal gravitational constant
[tex]m_1[/tex], [tex];m_2[/tex] are the masses of the objects
[tex]r[/tex] = distance between the objects
We are given that F = 18 units.
If m₁ is tripled and r is also tripled then
new F = F':
[tex]F' = G \dfrac{3m_1 \cdot m_2}{(3r)^2}\\\\\\F' = G \dfrac{3m_1 \cdot m_2}{9r^{2}}\\\\\\So \dfrac{F'}{F} = G \dfrac{3m_1 \cdot m_2}{9r^{2}} \div G \dfrac{m_1 \cdot m_2}{r^{2}}[/tex]
[tex]= \dfrac{3}{9} = \dfrac{1}{3}\\[/tex]
Therefore the new F is 1/3 of the old f
In this case that would be 18/3 = 6 units
what’s the energy when the ball hits the surface and is changing its shape
Answer:
it is elastic potential energy
Explanation:
A 2.0 Ω resistor is connected across a 6.0 V power supply. An ammeter with internal resistance of 1.0 Ω is used to measure the current in this circuit. What is the ammeter reading?
Ammeter with internal resistance of 1.0 Ω, gives reading of 2.0 A.
To determine the ammeter reading, calculate the total resistance of the circuit and then use Ohm's law to find the current.
The total resistance of the circuit is the sum of the resistance of the 2.0 Ω resistor and the internal resistance of the ammeter, which gives,
R_total = R_1 + R_ammeter = 2.0 Ω + 1.0 Ω = 3.0 Ω
Using Ohm's law, calculate the current in the circuit,
I = V / R_total
where V is the voltage of the power supply.
Substituting the given values,
I = 6.0 V / 3.0 Ω = 2.0 A
Therefore, the ammeter reading is 2.0 A.
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why does the predicted speed of block z after the collision not agree with the actual speed of block z after the collision?
There could be various reasons some are:
1. Ignoring external factors: If there were external factors, such as friction or air resistance, that were not taken into account in the calculation, the predicted speed of block z after the collision may not match the actual speed.
2. Inaccurate initial conditions: If the initial conditions, such as the velocities or positions of the blocks, were not measured accurately or were assumed incorrectly in the calculation, the predicted speed of block z after the collision may not agree with the actual speed.
In general, predicting the outcome of a collision is a complex problem that requires accounting for many factors, some of which may not be fully understood or measurable. As a result, there may be differences between predicted and actual outcomes, especially in real-world scenarios.
To determine the exact reason why the predicted speed of block z after the collision does not agree with the actual speed, a careful analysis of the calculations, measurements, and assumptions made would be necessary.
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How would you choose a Gaussian surface for a particular charge distribution?
Choose a Gaussian surface based on the symmetry of the charge distribution, and enclose the entire charge distribution.
To choose a Gaussian surface for a particular charge distribution, one should consider the symmetry of the charge distribution.
The Gaussian surface should be chosen such that the electric field due to the charge distribution is constant over the surface and the surface encloses the entire charge distribution.
If the charge distribution exhibits spherical symmetry, a spherical Gaussian surface should be chosen. If the charge distribution is planar or cylindrical, a cylindrical or planar Gaussian surface, respectively, should be chosen.
For more complex charge distributions, it may be necessary to choose multiple Gaussian surfaces to fully enclose the charge distribution and simplify the calculations. In general, the choice of Gaussian surface should be made to take advantage of any symmetries in the charge distribution and to simplify the calculations of the electric field.
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a boy on a ladder 2.0 m high has a mass of 63.5 kg. what is his potential energy, relative to the ground?
The potential energy relative to ground will be 1245.445 J. If mass= 63.5 kg, height =2m.
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of common types of potential energy. The joule, denoted by the letter J, is the energy unit in the International System of Units (SI).
Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word potential energy was coined by the Scottish engineer and physicist William Rankine in the 19th century[3][4]. Forces acting on a body in a way that increases the total work have potential energy attached to them.
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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears ___ star B.
Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.
Luminosity is a measure of the total amount of energy a star emits in a given amount of time. Apparent brightness, on the other hand, is the amount of light that reaches us from a star and is influenced by the star's distance from us, as well as its luminosity.
When two stars have the same luminosity, their apparent brightness will be determined by their distance from us. If star Y is four times dimmer looking than star X on relatively unobscured sightlines, it means that star Y must be farther away from us. This is because the amount of light we receive from a star decreases with increasing distance.
Luminosity: The total amount of energy a star emits.
Apparent brightness: The amount of light that reaches us from a star.
Two stars with the same luminosity: apparent brightness determined by distance from us
Star Y three times dimmer: Farther away from us. Apparent brightness decreases with increasing distance.
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you make an interferometer using a 50-50 beam splitter and two mirrors, one being a perfect mirror and one which does not reflect all light. the wavelength of the 9-mw incident laser is 400 nm. because the top mirror is not perfectly reflective (it reflects 90% of the photons, allowing 10% of them to go through), the power measured at the detector when only the vertical arm is blocked is 2.25 mw, while the power measured at the detector when only the horizontal arm is blocked is only 2.025 mw. assume initially the detected power is at its maximum. how much would we need to translate the perfect mirror to the right to get a minimum power at the detector, and what is that minimum power?
Move perfect mirror to the right by 86.2 nm to produce minimum power at detector and minimum power is 0.225 mW.
To create an interferometer using a 50-50 beam splitter and two mirrors, we can split a laser beam into two paths using the beam splitter, bounce one path off a perfect mirror, and the other off a mirror that does not reflect all light.
In this setup, interference between the two paths of the laser light can produce a pattern of constructive and destructive interference, which can be detected at a detector.
If the detected power is initially at its maximum, we can move the perfect mirror to the right to produce a minimum power at the detector. This is because moving the mirror changes the path length difference between the two paths of the laser light, and this can change the interference pattern.
To determine how much we need to move the perfect mirror, we can use the fact that the detected power is maximum when the two paths of the laser light are in phase, and minimum when they are out of phase. When only the vertical arm is blocked, the power measured at the detector is 2.25 mw, and when only the horizontal arm is blocked, the power measured at the detector is 2.025 mw.
The power detected at the detector is given by:
P = [tex](1/2) * P_in * (1 +- cos(Δφ))[/tex]
where[tex]P_in[/tex] is the incident power, Δφ is the phase difference between the two paths of the laser light, and the ± sign depends on which path is blocked.
When the power is maximum, the phase difference is an integer multiple of 2π, i.e., Δφ = [tex]2\pi n[/tex]. When the power is minimum, the phase difference is an odd multiple of π, i.e., Δφ = [tex](2n+1)\pi /2.[/tex]
We can solve for the phase difference in terms of the incident power and the measured powers:
Δφ = [tex]arccos[(4P_min/P_in) - 1][/tex]
where [tex]P_min[/tex] is the minimum power detected at the detector, which is 2.025 mw.
Plugging in the values, we get:
Δφ = [tex]arccos[(4*2.025/9) - 1] = 2.18 radians[/tex]
To produce a minimum power at the detector, we need to change the phase difference to [tex](2n+1)\pi /2[/tex]. This means we need to move the perfect mirror by a distance Δx such that:
Δφ = [tex](2n+1)\pi /2 = 1.57, 4.71, 7.85, ...[/tex]
We can use the wavelength of the laser to determine the distance Δx:
Δx = Δφ * λ / [tex]2\pi[/tex]
lambda: wavelength of laser = 300 nm
Put values:
Δx = 86.2 nm
So we need to move the perfect mirror to the right by 86.2 nm to produce a minimum power at the detector, and the minimum power at the detector is 0.225 mW.
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find strength of electric field formed by a 150.0 cm charged rod with linear charge density of 120 c at distance of 80.0 cm on central axis?
The strength of the electric field formed by the charged rod at a distance of 80.0 cm on its central axis is 1.35 x 10^12 N/C.
The electric field created by a charged rod at a point on its central axis can be calculated using the formula,
[tex]E = \dfrac{k \lambda}{r}[/tex]
where k is Coulomb's constant (k = 9.0 x 10^9 N m^2/C^2), lambda is the linear charge density of the rod in C/m, and r is the distance from the rod to the point where the electric field is being measured, also in meters.
Substituting the given values,
[tex]E = \dfrac{9.0 \times 10^9 \times 120}{0.8}[/tex]
E = 1.35 x 10^12 N/C
Therefore, the strength of the electric field formed by the charged rod at a distance of 80.0 cm on its central axis is 1.35 x 10^12 N/C.
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runner 1 has a step length of 1.50 m and a stride frequency of 76 strides/min. what is her running speed (m/s)?
The runner's speed is 1.91 m/s. The speed of a runner can be calculated by multiplying their step length (the distance covered by one step) by their stride frequency (the number of steps taken per unit time).
We can calculate the runner's speed using the formula:
speed = step length x stride frequency
Plugging in the given values:
speed = 1.50 m/step x 76 steps/min
We first need to convert the units of stride frequency to strides/second:
76 steps/min x 1 min/60 s = 1.27 strides/s
Now, we can substitute this value into the formula:
speed = 1.50 m/step x 1.27 strides/s
Simplifying the expression:
speed = 1.91 m/s
Therefore, the runner's speed is 1.91 m/s.
Step length can be influenced by a number of factors, including a runner's height, leg length, and running form. Stride frequency, on the other hand, is largely determined by a runner's running speed. As a runner increases their speed, their stride frequency tends to increase as well. However, there is a limit to how fast a runner can move their legs, and at a certain point, increases in speed are achieved through increases in step length rather than stride frequency.
Measuring step length and stride frequency can be useful for runners who want to optimize their running form and efficiency. By increasing their step length or stride frequency, runners can increase their speed without necessarily increasing their energy expenditure. However, it's important to note that there is no "ideal" step length or stride frequency that works for everyone. Runners should experiment with different stride lengths and frequencies to find what feels most comfortable and efficient for them.
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Which is the measure of the average kinetic energy of atoms or molecules that compose a substance?
a) Heat
b) Temperature
Answer:
The correct answer is b) Temperature.
Explanation:
Temperature is a measure of the average kinetic energy of atoms or molecules that compose a substance. Heat is the amount of energy transferred from one object to another.
What is the vapour pressure of water at 25 degree Celsius?
The vapour pressure of water at 25 degree Celsius is 23.8 torr.
Vapor pressure is the pressure that's caused by the evaporation of liquids.
Vapor pressure is affected by some common variables.
These variables are three in number that's intermolecular forces, face area and temperature.
The vapor pressure of motes varies under varying temperatures.
If water has a low vapor pressure it means water has high face pressure.
Some exemplifications of vapor pressure are sticky air, LPG cylinders, boiling of liquids, pressure cookers
According to Raoult's law Psolution = Xsolvent , here Psolution is the vapor pressure of the solution, Xsolvent is the mole fraction of the solvent, and
Psolvent is the vapor pressure of the pure solvent.
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