The green car must travel at least 3 m/s in order to catch up to the blue car.
The blue automobile might go slower if the green car is moving faster than it is at the point where the distance between them equals 0. Furthermore, the green automobile will never catch up to the blue car if the blue car moves faster than the green car before they collide.
The blue car's speed as a function of time is given by v(T) = 0.3T. The equation for the position of the green automobile can be rewritten as g(T) = (T-5) *0.3T given the justification for the ideal speed. Set the equations to be equal to one another since we want the distance between the green and blue automobiles to be the same. (T-5) *0.3T = 0.15*T^2 Then, calculate T (T-5) *0.3T = 0.15*T2, where 0.3T2 - 1.5T equals 0.15T2 and 1.5T - 0.15T2 = 0. Our quadratic equation now has the values A = 0.15, B = -1.5, and C = 0.
To determine the roots, which are -4.5 and 10, use the quadratic formula. The interception will happen at T=10 because the number of 10 implies that it will, hence the velocity must be v(T) = 0.3T v (10) = 0.3*10 = 3 m/s. The green car must travel at least 3 m/s in order to catch up to the blue car.
The complete question is- A blue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.2 m/s². A green car arrives at the position of the stop-light 7.5 s after the light had turned green. What is the slowest constant speed which the green car can maintain and still catch up to the blue car? Answer in units of m/s.
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An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s^2
(b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation?
(a) To find the average angular acceleration in rad/s^2, we need to convert the given rotational speed from rpm (revolutions per minute) to rad/s (radians per second) and divide it by the time taken. First, let's convert 100,000 rpm to rad/s:
Angular speed (ω) in rad/s = (100,000 rpm) * (2π rad/1 rev) * (1 min/60 s) = (100,000 * 2π) / 60 rad/s.
Next, we divide the angular speed by the time taken to find the average angular acceleration:
Average angular acceleration = (Angular speed) / (Time taken) = [(100,000 * 2π) / 60] / (2 * 60) rad/s^2.
Simplifying the equation gives us the average angular acceleration in rad/s^2.
(b) To find the tangential acceleration of a point 9.50 cm from the axis of rotation, we use the formula:
Tangential acceleration = (Angular acceleration) * (Radius).
Given that the average angular acceleration is calculated in part (a), and the radius is given as 9.50 cm (0.095 m), we can substitute these values into the equation to find the tangential acceleration.
Tangential acceleration = (Average angular acceleration) * (Radius) = [(100,000 * 2π) / 60] / (2 * 60) * 0.095 m.
Calculating this expression gives us the tangential acceleration in m/s^2.
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During capillary action, the water will rise higher in which situation?
During capillary action, the water will rise higher in a narrower tube or channel with a smaller diameter.
This is because the smaller diameter creates a greater surface tension, which pulls the water upward against gravity. Additionally, a surface with a higher degree of attraction to the water molecules will also enhance capillary action, allowing the water to rise higher.
This is because the adhesive forces between the water molecules and the tube's surface, as well as the cohesive forces between the water molecules themselves, are stronger in smaller diameter tubes, leading to a greater capillary rise.
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Is a dog chasing its tail acceleration
No. A dog chasing its tail is just an animal running around in circles.
The dog's MOTION, however, IS accelerated motion, since the DIRECTION of its motion is constantly changing.
A a dog chasing its tail cannot be considered as acceleration.
What is acceleration?Acceleration is the rate at which velocity changes over time, both in terms of speed and direction.
A point or object moving in a straight line is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is constantly changing.
For example, if a car accelerates as it turns a corner at constant speed, it is doing so because its direction is changing.
The faster you turn, the faster you accelerate. When velocity changes in magnitude (increase or decrease in speed), direction, or both, there is an acceleration.
Thus, as there is no change in either speed or direction in scenario in which a dog chases its tail, it is not considered as acceleration.
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Suppose 435 mL of Ne gas at 21 °C and 1. 09 atm, and 456 mL of SF6 at 25 °C and 0. 89 atm are put into a 325 mL flask at 30. 2 °C (a) What will be the total pressure in the flask? (b) What is the mole fraction of for each of the gases in the flask?
(a) To determine the total pressure in the flask, we need to consider the partial pressures of each gas present and add them together.
Using the ideal gas law, we can calculate the partial pressure of each gas:
PV = nRT
For Ne gas:
P₁V₁ = n₁RT
P₁ = (n₁/V₁)RT
For SF6 gas:
P₂V₂ = n₂RT
P₂ = (n₂/V₂)RT
To find the total pressure, we add the partial pressures:
P_total = P₁ + P₂
(b) The mole fraction (χ) of each gas can be calculated using the formula:
χ = moles of gas / total moles of gas
To find the moles of each gas, we use the ideal gas law rearranged:
n = PV / RT
Now, let's calculate the values.
Given:
Volume of Ne gas (V₁) = 435 mL = 0.435 L
Temperature of Ne gas (T₁) = 21 °C = 294 K
Pressure of Ne gas (P₁) = 1.09 atm
Volume of SF6 gas (V₂) = 456 mL = 0.456 L
Temperature of SF6 gas (T₂) = 25 °C = 298 K
Pressure of SF6 gas (P₂) = 0.89 atm
Volume of flask (V_total) = 325 mL = 0.325 L
Temperature of flask (T_total) = 30.2 °C = 303.2 K
Gas constant (R) = 0.0821 L·atm/(K·mol)
(a) To calculate the total pressure:
P₁ = (n₁/V₁)RT₁
P₁ = (PV₁/RT₁)
P₂ = (n₂/V₂)RT₂
P₂ = (PV₂/RT₂)
P_total = P₁ + P₂
(b) To calculate the mole fraction:
n₁ = P₁V_total / RT_total
n₂ = P₂V_total / RT_total
χ₁ = n₁ / (n₁ + n₂)
χ₂ = n₂ / (n₁ + n₂)
By plugging in the given values and performing the calculations, we can find the total pressure in the flask and the mole fraction of each gas.
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a device that sends out sound waves to detect objects is called
A device that sends out sound waves to detect objects is called sonar device.
What are sound waves?
Sound waves are vibrations of air molecules that propagate through a medium, such as air, water, or solid materials. Sound waves are created when a force, such as a vibrating object, causes particles in the medium to vibrate. The vibrations cause the particles to move in an alternating pattern, creating a wave. The frequency of the wave determines the pitch of the sound. The amplitude of the wave determines the loudness.
Sonar stands for Sound Navigation and Ranging. It is a device that sends out sound waves and measures their echo off objects in the environment to detect their position, size, shape, and other characteristics. Sonar is used for a variety of applications, such as navigation, tracking objects, and detecting underwater obstacles.
Therefore, sonar device is the correct answer.
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Which statement is TRUE? Question 5 options: Waves travel at different speeds through different materials. Wave speed depends on the amplitude of the wave. Light waves and sound waves travel at a constant speed; the type of material they travel through does not affect the speed. None of the above are true.
Answer:
Waves move through different vmaterials
A: Waves travel at different speeds through different materials.
A 6.8 kg cannon ball leaves a canon with a speed of 188 m/s. Find the average net force applied to the ball if the cannon muzzle is 4.2 m long.
i want the answer with the steps
Answer:
its not long dummy, its your imagination
Explanation:
6- A boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground, what is the horizontal displacement of the ball?
A. 5.6 m
B. 4.0m
C. 3.1 m
D. 2.5 m
Answer:
Explanation:
Given:
V₀ = 3.0 m/s
H = 5.2 m
__________
L - ?
Time for the ball to fall vertically:
H = g·t²/2; ⇒ t = √ (2·H / g) = √ (2·5.2 / 9.8) ≈ 1.0 c
Move the ball horizontally:
L = V₀·t = 3.0·1.0 = 3.0 m
If a boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground , then the horizontal displacement of the ball is 3.09 meters.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
As given in the problem If a boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground
S = ut + 1/2 × a × t²
5.2 = 0 + 0.5 × 9.8 × t²
t² = 5.2 / 4.9
t = 1.03 seconds
The horizontal displacement of the ball = 1.03 × 3
= 3.09 meters
Thus, the horizontal displacement of the ball is 3.09 meters.
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If a car is traveling 35 m/s for 200 seconds, how far will the car travel?
What type of relationship do frequency and wavelength have?
Frequency and wavelength are inversely proportional to each other. The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one-half the wavelength. For this reason, the wavelength ratio is the inverse of the frequency ratio.
Consider a turbojet engine mounted on a stationary test stand at sea level. The inlet and exit areas are t 1.0 atm, and 800 K respectively Calculate the static thrust of the engine
a.) Thrust-31880N
b.) Thrust 32680N
c.) Thrust -31600N
d.) Thrust- 3868 N
The static thrust of the turbojet engine mounted on a stationary test stand at sea level, with inlet and exit areas at 1.0 atm and 800 K respectively, is b.) Thrust 32680N.
To calculate the static thrust of the engine, we can use the ideal rocket equation:
Thrust = mass flow rate * exhaust velocity
The mass flow rate can be calculated using the equation:
mass flow rate = air density * inlet area * inlet velocity
The exhaust velocity can be approximated as the exit area times the exit velocity.
Given that the engine is mounted on a stationary test stand at sea level, we can assume the inlet velocity is zero. Additionally, we know the inlet and exit areas, as well as the atmospheric pressure at sea level.
By calculating the mass flow rate and the exhaust velocity using the provided information and plugging them into the ideal rocket equation, we arrive at the static thrust of approximately 32680N.
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what's the word used to describe the weight of precious stones.
Answer:
Ahhhhhh ano wala dito ang answer
PLEASE HELP 25 POINTS!!!! Multiply the following numbers and round your answer to the correct number of significant figures:
72,000 x 45
Show both the unrounded and rounded answer.
Answer:
3,240,000
Explanation:
72,000 times 45= 3,240,000
There is no rounded number unless u are dividing.
A pendulum is used in a large clock. The pendulum is raised to its maximum height of 0.3 m and has a mass of 5.2 KG. What is the speed of the pendulum as it reaches its lowest point?
A. 4.2 m/s
B. 3.1 m/s
C. 1.9 m/s
D. 2.4 m/s
Answer:
2.4m/s, This is what I got.
Answer:
D
Explanation:
Just took the quiz
Asked this question 3 TIMES T-T
Latent Heat of Fusion of Iron = 13.8 kJ/mol
Latent Heat of Vaporization of Iron = 349.6 kJ/mol
Molar Mass of Iron = 56 g/mol
You have a closed container that contains 112g of iron. Which choice correctly calculates the amount of energy needed to change the state of iron during interval D-E?
1545.6 kJ
699.2 kJ
6272.0 kJ
0.32 kJ
Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.
What is latent heat?The amount of heat needed to transform a unit mass of a substance from a liquid to a gas at that solid's boiling point is known as the latent heat of vaporization.
The following is the formula to determine a substance's latent heat of vaporization:
L = q/m, the latent heat of vaporization where;
Δq is the heat change \sm is the mass of the liquid
The interval D to E is vaporization
Heat required = 349.6 kJ/mol * 112 g / 56g/mol
Heat required = 699.2 kJ
Therefore, Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.
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what Kinetic Energy is the energy of
matter.
Answer:
States of Matter and Kinetic Theory Theory of Kinetic Molecular Dynamics Kinetic energy is the energy possessed by an object as a result of its motion. The Kinetic Molecular Theory explains how molecules interact and how much energy they have. This idea is based on three different matter theories.
Explanation:
here ye go!
if the velocity is at 0 and the accelerationis at 0 what is the motion
doss cheerleading have physics in it?
A docking shuttle needs to decelerate at a very specific rate, given by a=bt2 . If the shuttle is moving at 800m/s and begins at 30km away, how long will it take to dock?
It will take approximately 354 seconds for the docking shuttle to decelerate and come to a stop at the docking station.
we can find the distance the shuttle needs to travel before coming to a stop:
v^2 = u^2 + 2as
The distance the shuttle needs to travel is -160,000 / (b*t^2), where b is the coefficient of deceleration.
The distance is also given by s = ut + 1/2at^2, where u is the initial velocity and a is the deceleration rate.
Thus, solving for t gives a value of approximately 354 seconds, or about 5.9 minutes, for the docking shuttle to decelerate and come to a stop at the docking station.
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In a ruby laser, an electron jumps from a higher energy level to a lower one. if the energy difference between the two levels is 1.8 ev, what is the wavelength of the emitted photon?
In a ruby laser, an electron jumps from a higher energy level to a lower one. if the energy difference between the two levels is 1.8 EV, 649 is the wavelength of the emitted photon
Only pulse mode is employed with the ruby laser. Water does not readily absorb radiation, but pigments like melanin and hemoglobin do so to a large extent. The anterior ocular structures are easily penetrated by the ruby laser. Vascular and colored retinal lesions are photocoagulation with it.
Ruby served as the active medium in Maiman's 1960 development of the solid-state laser known as the Ruby laser. Aluminum oxide crystals are found in rubies. where chromium ions are used to partially replace aluminum ions. Chromium ions are the substance that makes the ruby laser active.
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What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i.E. If you increase one variable what happens to the acceleration?)
Answer:
1. Unbalanced Force (If you increase force, the acceleration will increase)
2. Mass of Body (If you increase mass, the acceleration will decrease)
Explanation:
According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:
“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”
The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,
a α F
and, a α 1/m
where,
a = acceleration
F = Unbalanced Force
m = Mass of Body
So, the acceleration increases when the unbalanced force increase and vice versa.
And the acceleration decreases when the mass of body increase and vice versa.
combining above equations:
a α F/m
a = (Constant)F/m
here,
Constant = 1
therefore,
F = ma
ou are examining a flea with a converging lens that has a focal length of 3.70cm .
Part A
If the image of the flea is 6.00 times the size of the flea, how far is the flea from the lens?
s = cm
Part B
Where, relative to the lens, is the image?
s? = cm
Part A- the flea is 5.29 cm in front of the lens.
Part b- The image of the flea is located 2.22 cm behind the lens.
Part A: We can use the magnification equation to find the object distance:
m = -i/o
where m is the magnification, i is the image distance, and o is the object distance.
We are given that the image is 6.00 times the size of the flea, which means that m = 6.00.
We also know that the lens has a focal length of f = 3.70 cm.
Substituting these values into the magnification equation, we get:
6.00 = -i/o
To solve for o, we can rearrange this equation to get:
o = -i/6.00
We also know that the lens equation is:
1/f = 1/o + 1/i
Substituting the values we have, we get:
1/3.70 = 1/o + 1/i
Solving for i, we get:
i = 1/((1/3.70) - (1/o))
i = 1/((1/3.70) - (1/(-i/6.00)))
Simplifying this expression, we get:
i = 2.22 cm
Therefore, the image distance is i = 2.22 cm.
We can now use the lens equation to find the object distance:
1/3.70 = 1/o + 1/2.22
Solving for o, we get:
o = 5.29 cm
Part B:
Since the image is real and inverted, it must be located on the opposite side of the lens from the object. Therefore, the image is located 2.22 cm behind the lens.
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you place your lunch leftovers in the refrigerator. suppose the refrigerator needs to remove e 4 j of thermal energy from your lunch to cool it to the temperature of the inside of the refrigerator. in the meantime, this means the refrigerator produces 4 j of thermal energy that it expels into the kitchen as a result. what is the total work done by the compressor motor in the refrigerator? (ignore any thermal loses due to friction in the motor.)
The total work done by the compressor motor in the refrigerator is 8 Joules.
You placed your lunch leftovers in the refrigerator, and it needs to remove 4 joules (J) of thermal energy from the lunch to cool it to the inside temperature.
Simultaneously, the refrigerator produces 4 J of thermal energy that it expels into the kitchen. To determine the total work done by the compressor motor in the refrigerator, follow these steps:
Step 1: Understand the energy conservation principle.
The refrigerator works based on the principle of energy conservation. The energy that is removed from your lunch is not destroyed but transferred to another form, which is the thermal energy expelled into the kitchen.
Step 2: Calculate the total energy.
Since the refrigerator removes 4 J of thermal energy from your lunch and generates 4 J of thermal energy expelled into the kitchen, the total energy involved is the sum of these two values.
Total Energy = Energy removed from lunch + Energy expelled into the kitchen
Total Energy = 4 J + 4 J
Total Energy = 8 J
Step 3: Determine the work done by the compressor motor.
The work done by the compressor motor is equal to the total energy involved in the process, as there are no thermal losses due to friction in the motor.
Total Work Done = Total Energy
Total Work Done = 8 J
So, the total work done by the compressor motor in the refrigerator is 8 Joules.
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Blocks A and B, of masses ma and mb are at rest on frictionless surface, as shown above, with block a fixed to the table. Block C of mass mc is suspended by a string that is tied to block b over an ideal pulley. Which of the following gives the magnitude of the force exerted by block a on block ba. magb. mcgc. (mama/ma+mb)gd. (mvmc/Ma+mb)g
The magnitude of the force exerted by block A on block B is (ma*mc)/(ma+mb)g.
To determine the force exerted by block A on block B, we can use Newton's second law of motion (F=ma). First, we need to find the acceleration of the system. Considering block C and the force acting on it due to gravity (mc*g), we can write the equation as:
(mc*g) - T = mc*a
where T is the tension in the string. Since the system is in equilibrium, the tension force acting on block B is equal to the force exerted by block A on block B. So:
T = ma*a
Combining these two equations, we get:
(mc*g) - ma*a = mc*a
Solving for acceleration (a), we obtain:
a = (mc*g)/(ma+mc)
Finally, substituting the acceleration back into the tension equation:
T = ma*((mc*g)/(ma+mc))
Hence, the force exerted by block A on block B is (ma*mc)/(ma+mb)g.
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if a toaster has 12 ohms of resistance in a 120 volt circuit, the amount of current in the circuit will be ____Amps.
Given data
*The given resistor is R = 12 ohms
*The given voltage is V = 120 V
The formula for the current flows in the circuit is given as
\(I=\frac{V}{R}\)Substitute the values in the above expression as
\(\begin{gathered} I=\frac{120}{12} \\ =10\text{ A} \end{gathered}\)Thus, the amount of current flows in the circuit is I = 10 A
) Determine the local sidereal time at an observatory located at
a longitude of 30° E if Betelgeuse, which has a right ascension of
5h 55m, crossed the Greenwich meridian 6.0 sidereal hours
earlier.
The local sidereal time at the observatory located at a longitude of 30° E is approximately 208.75 degrees since Betelgeuse crossed the Greenwich meridian.
To determine the local sidereal time at the given observatory, we need to calculate the time elapsed since Betelgeuse crossed the Greenwich meridian.
First, we convert the right ascension of Betelgeuse from hours and minutes to decimal form. Since 1 hour is equal to 15 degrees of right ascension, and 1 minute is equal to 0.25 degrees, we have:
5 hours 55 minutes = (5 × 15) + (55 × 0.25) = 75 + 13.75 = 88.75 degrees.
Next, we calculate the time difference between Betelgeuse crossing the Greenwich meridian and the current time. Since 1 sidereal hour is equal to 15 degrees of Earth's rotation, and the given time difference is 6.0 sidereal hours, we have:
Time difference = 6.0 × 15 = 90 degrees.
Now, we can calculate the local sidereal time at the observatory by adding the longitude of the observatory (30° E) to the accumulated time difference:
Local sidereal time = 88.75 degrees + 90 degrees + 30 degrees = 208.75 degrees.
Therefore, the local sidereal time at the observatory located at a longitude of 30° E is approximately 208.75 degrees.
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The distance covered by a car moving with a speed of 36 km/h in 20 minutes is
Answer:
D=12000m
Explanation:
Distance
Speed=distance/time
Where, speed is given in m/s
Time is given in s
Distance is given in m
Data
S=36km/h
T=20minutes
D=?
D=S*T
D=(36*1000m)/3600s*(20*60s)
D=36000m/3600s*1200s
D=10m/s*1200s
D=12000m
__________ is the process of sediment being placed in a new location
When sediment is carried away, this process is called ________
please help :
Answer:
deposition and erosion
Answer:
1: Deposition
--
2: Erosion
Explanation:
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why does the blind spot from the optic disc in either eye not result in a blind spot in the visual field?
With both eyes open, the blind spots are not perceived because the visual fields of the two eyes overlap. Indeed, even with one eye closed, the blind spot can be difficult to detect subjectively because of the ability of the brain to “fill in” or ignore the missing portion of the image.
What is the structure of eye ?The optically transparent aqueous humour, lens, and vitreous body are all enclosed by three coatings that make up the eye. The cornea and sclera make up the outermost coat, while the choroid, ciliary body, and iris make up the intermediate coat and, from the rear to the front, the major blood supply to the eye.
Due to the fact that both eyes' fields of vision overlap, the blind spot is ignored and does not result in a blind spot in the visual field. Additionally, even with one eye closed, the brain has the capacity to ignore or make up for the affected area.
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halo stars are found in the vicinity of the sun. what observational evidence distinguishes them from disk stars?
The combination of these observational pieces of evidence allows astronomers to distinguish halo stars from disk stars and understand the different populations of stars in our galaxy.
How halo stars are distinguished from disk stars?Halo stars are distinguished from disk stars by their different kinematic properties. They have highly elliptical orbits that take them far above and below the plane of the galaxy. Halo stars also have a different chemical composition compared to disk stars. They have lower metallicity, which means they have fewer elements heavier than hydrogen and helium. This difference in chemical composition suggests that they formed earlier in the history of the Milky Way, when there were fewer heavy elements in the interstellar medium. Additionally, halo stars tend to be older and have a different spatial distribution than disk stars.
Overall, the combination of these observational pieces of evidence allows astronomers to distinguish halo stars from disk stars and understand the different populations of stars in our galaxy.
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