Answer:
2
Explanation:
I took the test and got it correct
Answer:
2
Explanation:
describe the practical reasons behind the direction of the flow of water through the condenser
The direction of water flow through the condenser is an important design consideration that can significantly affect the efficiency, maintenance, and reliability of the refrigeration system.
The direction of the flow of water through a condenser is an important design consideration for several practical reasons:
Heat transfer efficiency: The primary function of a condenser is to transfer heat from the hot refrigerant gas to the cooler water flowing through the condenser. The direction of the water flow can significantly affect the heat transfer efficiency. By flowing the water in the opposite direction to the refrigerant gas, the temperature gradient across the condenser remains constant, resulting in a more efficient heat transfer.
Maintenance and cleaning: The direction of water flow through the condenser can also affect the ease of maintenance and cleaning. By flowing the water in the same direction as the refrigerant gas, any dirt or debris that accumulates on the condenser tubes can be easily removed by flushing the condenser with water in the opposite direction.
Corrosion prevention: In some condenser designs, the water flowing through the condenser can become corrosive due to the presence of impurities or chemicals. By flowing the water in the opposite direction to the refrigerant gas, any corrosive substances are less likely to come into contact with the condenser tubes, reducing the risk of corrosion.
Capacity control: The direction of water flow through the condenser can also affect the capacity control of the refrigeration system. By adjusting the flow rate and direction of the water, the cooling capacity of the condenser can be controlled to meet the changing demands of the refrigeration system.
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A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 10 N, Fy = −1 N, sx = 4 m, and
sy = 1 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
.
The work done by the force on the particle is 39J and the angle between F and s is 19.7 degree.
What is Force ?An item with mass is pulled or pushed which alters its velocity. A material that has the ability to change a body's rest or motion state is referred to as an external force. It possesses a magnitude and a direction.
Briefing:Force F = (Fx, Fy)
Displacement S = (Sx,Sy)
Fx=10N
Fy=-1N
Sx=4m
Sy=1m
F=(10,-1)N and S=(4,1)m
Work done is calculated by taking dot product of force and displacement vector:
W=F·S
W=10×4 + (-1)×1
W=40+(-1)=39J
W = 39 J
To find angle between F and s:
\(|F|=\sqrt{10^2+(-1)^2}\)
|F| = √101
|S| = √(4² + 1²)
|S| = √17
W = |F| |S| cosθ
39 = √101 √17 cosθ
θ = 19.7.
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The coetticient of friction between a block and the surface it slides across is 0.360. The block has a mass of 150 kg
What force is required to accelerate the block 0.5 m/a^2.
The friction between the b;ock and surface is given by mass and accelerartion.
Force = mass * acceleration
Which of the following is not a requirement for the National Weather Service (NWS) to determine if a thunderstorm is severe?
a. frequent cloud to ground lightning
b. hail bigger than 1 inch in diameter.
c. 58 mph winds
d. tornado
The option that is not a requirement for the National Weather Service (NWS) to determine if a thunderstorm is severe is "frequent cloud to ground lightning" .
What is a thunderstorm ?
The thunderstorm is defined as "a rain-bearing cloud that also produces the lightning" .
and for the National Weather Service (NWS) a thunderstorm is termed as "severe" when it has the following :
(a) hail one inch or greater,
(b) winds gusting in excess of 50 knots (57.5 mph), or
(c) a tornado.
So , the only condition that is not for the severe thunderstorm is frequent cloud to ground lightning .
Therefore , the correct option is (a) .
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2. If the wind speed increased, what would happen to the plane’s ground speed?
Answer:
If the wind speed increased, the plane's ground speed would be affected.
Explanation:
The ground speed of a plane is the speed at which it is traveling relative to the ground. Wind speed affects the plane's airspeed, which is the speed at which it is traveling relative to the air. If the wind speed increases, it can either help or hinder the plane's ground speed, depending on whether the wind is a headwind or a tailwind. A headwind can slow down the plane's ground speed, while a tailwind can increase it.
9. What is the acceleration when a 63 kg person on rollerblades pushes against a wall with a
force of 34 N?
It is a well-known fact that often applying force does not cause a change in the condition of motion. For instance, even if you use all of your force, a hefty box could not budge at all. Again, attempting to push a wall has no noticeable effect.
What acceleration, rollerblades, pushes against a wall force?Because you pushed against the wall, but the wall pushed back against you with an equal and opposite force, you slide in the opposite direction (away from the wall).
Therefore, There are just two forces at work: friction and gravitation. Yes, the frictional force's magnitude must match the weight. Given that it is parallel to the wall, the friction is in the vertical direction (which is vertical)
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calculer l intensité du courant qui le traverse
Answer:
Le calcul du courant se fait avec deux éléments : la tension et la valeur de la résistance. Courant (A) = tension (V) / résistance (Ohm) ce qui donne la formule I = U/R.
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Formulate a hypothesis on how the force between a pair of cars in a
train undergoing constant acceleration compares to the forces
between other cars in the same train.
The force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.
The hypothesis on how the force between a pair of cars in a train undergoing constant acceleration compares to the forces between other cars in the same train is detailed below.
As the cars in a train undergo constant acceleration, the force between a pair of cars is more significant than the forces between other cars in the same train. This is due to the fact that as the acceleration increases, the force between a pair of cars increases because the car at the back is pushed forward while the car in front is pulling backward, and as a result, there is an increase in the force acting between the two cars.
However, the forces between other cars in the same train are not as significant as the force between a pair of cars because there is no direct contact between them, and hence the force is much less. The greater the acceleration, the greater the force acting between a pair of cars in the train, while the force acting between other cars remains negligible.
Therefore, the force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.
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When an electron in a one-dimensional box makes a transition from the n = 1 energy level to the n = 2 level, it absorbs a photon of wavelength 426 nm. What is the wavelength of that photon when the electron undergoes a transition (a) from the n = 2 to the n = 3 energy level and (b) frorm the n = 1 to the n-3 energy level? (c) What is the width L of the box? [Ans: (a) 256 nm, (b) 160 nm, (c) 0.622 nm]
The photon's wavelength emitted during the transition from n = 2 to n = 3 is approximately 256 nm. The photon's wavelength emitted during the transition from n = 1 to n = 3 is about 160 nm. The width of the box is approximately 0.622 nm.
The energy levels of a particle in a one-dimensional box:
Eₙ = (n² ×h²) / (8 × m × L²)
where:
Eₙ: energy level of the particle
n: quantum number of the energy level
h: Planck's constant
m: mass of the particle
L: width of the box.
Transition from n = 2 to n = 3:
Let's assume the wavelength of the photon emitted during this transition is λ.
ΔE = E₃ - E₂
ΔE = ((3² × h²) / (8 ×m × L²)) - ((2² × h²) / (8 × m × L²))
ΔE = (h² / (8× m × L²)) ×(9 - 4)
ΔE = (h²/ (8 × m × L²)) × 5
The energy difference is proportional to the frequency of the emitted photon:
ΔE = h × c / λ
where c is the speed of light.
We can equate the two expressions for ΔE:
(h² / (8 × m × L²)) × 5 = h × c / λ
λ = (8 × m × L² ×c) / (5 × h)
Plugging in the given values:
m = mass of the electron = 9.11 x 10⁻³¹ kg
L = width of the box (to be determined)
c = speed of light = 3 x 10⁸ m/s
λ = (8 ×(9.11 x 10⁻³¹ kg) × L² × (3 x 10⁸ m/s)) / (5 ×(6.626 x 10⁻³⁴ J·s))
Solving for L
L² = (5 × (6.626 x 10⁻³⁴J·s) × λ) / (8 ×(9.11 x 10⁻³¹kg) × (3 x 10⁸ m/s))
L² = 0.00047765 m²
L ≈ 0.021847 m
The wavelength of the photon is given by:
λ = (8 × (9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (5 × (6.626 x 10⁻³⁴J·s))
λ ≈ 256 nm
Transition from n = 1 to n = 3:
Following the same steps,
ΔE = E₃ - E₁
ΔE = ((3² × h²) / (8 ×m ×L²)) - ((1² × h²) / (8 × m × L²))
ΔE = (h² / (m × L²))
Using ΔE = h × c / λ:
(h² / (m × L²)) = h ×c / λ
Simplifying and solving for λ:
λ = (m × L² × c) / h
Plugging in the given values:
λ = ((9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (6.626 x 10⁻³⁴ J·s)
λ ≈ 160 nm
Width of the box (L):
From the above equations,
L² = (5 × (6.626 x 10⁻³⁴J·s) × (426 nm)) / (8 × (9.11 x 10⁻³¹ kg) × (3 x 10⁸ m/s))
L ≈ 0.000622 m or 160 nm
Therefore, the answers are 256 nm, 160 nm, and 0.622 nm respectively.
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The wavelength of the photon released during the change from n = 2 to n = 3 is roughly 256 nm. About 160 nm is the wavelength of the photon that is released when n = 1 changes to n = 3. The box has a width of about 0.622 nm.
Given values:
m = mass of the electron = 9.11 x 10⁻³¹ kg
L = width of the box (to be determined)
c = speed of light = 3 x 10⁸ m/s
The energy levels of a particle in a one-dimensional box:
Eₙ = (n² ×h²) / (8 × m × L²)
where:
Eₙ: energy level of the particle
n: quantum number of the energy level
h: Planck's constant
m: mass of the particle
L: width of the box.
Transition from n = 2 to n = 3:
The wavelength of the photon emitted during this transition is λ.
ΔE = E₃ - E₂
ΔE = ((3² × h²) / (8 ×m × L²)) - ((2² × h²) / (8 × m × L²))
ΔE = (h²/ (8 × m × L²)) × 5
The frequency of the photon that was released directly correlates with the energy difference:
ΔE = h × c / λ
,c is the speed of light.
Evaluating the two expressions for ΔE:
(h² / (8 × m × L²)) × 5 = h × c / λ
λ = (8 × m × L² ×c) / (5 × h)
λ = (8 ×(9.11 x 10⁻³¹ kg) × L² × (3 x 10⁸ m/s)) / (5 ×(6.626 x 10⁻³⁴ J·s))
Solving for L
L² = (5 × (6.626 x 10⁻³⁴J·s) × λ) / (8 ×(9.11 x 10⁻³¹kg) × (3 x 10⁸ m/s))
L ≈ 0.021847 m
The wavelength of the photon is given by:
λ = (8 × (9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (5 × (6.626 x 10⁻³⁴J·s))
λ ≈ 256 nm
Transition from n = 1 to n = 3:
ΔE = E₃ - E₁
ΔE = ((3² × h²) / (8 ×m ×L²)) - ((1² × h²) / (8 × m × L²))
ΔE = (h² / (m × L²))
Using ΔE = h × c / λ:
(h² / (m × L²)) = h ×c / λ
Solving for λ:
λ = (m × L² × c) / h
λ = ((9.11 x 10⁻³¹ kg) × (0.021847 m)² × (3 x 10⁸ m/s)) / (6.626 x 10⁻³⁴ J·s)
λ ≈ 160 nm
Width of the box (L):
From the above equations,
L² = (5 × (6.626 x 10⁻³⁴J·s) × (426 nm)) / (8 × (9.11 x 10⁻³¹ kg) × (3 x 10⁸ m/s))
L ≈ 0.000622 m or 160 nm
Thus, the answers are 256 nm, 160 nm, and 0.622 nm respectively.
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When summer changes to fall, what seasonal changes do plants experience? (IGNORE HIGHLIGHTED ANSWER)
Answer:
C
Explanation:
There is a decrease in temperature and daylight and plants produce less food.
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Depending on the size of a solid particle, the gas behaves like particles (Epstein law, regime (1)), viscous fluid (Stokes law, regime (II)), or ideal fluid (regime (III)). Find the radius of a particle on the boundary between the regime (1) and regime (II) and that on the boundary between the regime (II) and the regime (III) when a solid particle is located at 5AU in the Hayashi model.
The Hayashi model is a theoretical model used to describe the temperature distribution and conditions in the protoplanetary disk. However, it does not provide explicit information about the gas-solid interaction regimes or the particle size boundaries.
To determine the particle radius on the boundaries between the different regimes, we need to consider the relevant laws and models related to gas-solid interactions.
Regime (1): Epstein Law
Regime (II): Stokes Law
Regime (III): Ideal Fluid
In the context of gas-solid interactions, these regimes represent different flow regimes based on the size of solid particles and the behavior of the gas surrounding them.
The Epstein Law (Regime 1) applies when the mean free path of gas molecules is greater than the particle radius, and individual gas molecules collide with the particle. In this regime, the gas behaves like individual particles.
Stokes Law (Regime II) applies when the particle size is large enough that gas molecules can no longer individually collide with the particle but instead adhere to its surface, causing a viscous drag. In this regime, the gas behaves like a viscous fluid.
The Ideal Fluid (Regime III) represents the limit where the particle size is large enough that the gas behaves like an ideal fluid, and the viscous drag becomes negligible.
To determine the particle radius on the boundaries between these regimes in the Hayashi model, more specific information about the model is needed. The Hayashi model is a theoretical model used to describe the temperature distribution and conditions in the protoplanetary disk. However, it does not provide explicit information about the gas-solid interaction regimes or the particle size boundaries.
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A ball is projected upwards from a bridge and hits the ground 5 seconds after it was originally projected its initial velocity is 15 m/s and it’s final velocity is 34 m/s calculate the height of the bridge.Max height = 11.48 m
Given:
• Time, t =5 seconds
,• Initial velocity, u = 15 m/s
,• Final velocity, v = 34 m/s
Given that the ball is projected upwards from a bridge, let's find the height of the bridge.
Let's first find the height from the top of the bridge to the maximum height.
To find the height apply the formula:
\(v^2=u^2-2as\)Where:
v is the final velocity = 0 m/s (velocity at max height).
u is the initial velocity = 15 m/s
a is acceleration due to gravity = 9.8 m/s²
s is the height.
\(\begin{gathered} 0^2=15^2-2(9.8)s \\ \\ 0=225-19.6s \\ \\ 19.6s=225 \\ \\ s=\frac{225}{19.6} \\ \\ s=11.48\text{ m} \end{gathered}\)The distance from the bridge to the maximum height is 11.48 m.
Now, let's find the maximum height to the ground.
\(v^2=u^2+2as\)Where:
v is the final velocity = 34 m/s
u is the initial velocity = 0 m/s (velocity at the top).
a is acceleration due to gravity = 9.8 m/s²
s is the maximum height.
Thus, we have:
\(\begin{gathered} 34^2=0^2+2(9.8)s \\ \\ 1156=19.6s \\ \\ s=\frac{1156}{19.6} \\ \\ s=58.9\approx59\text{ m} \end{gathered}\)The maximum height is 59 meters.
To find the height of the bridge, we have:
Height of bridge = Maximum height - Distance from top of bridge to max height.
Height of bridge = 59m - 11.48m = 47.52 m
Therefore, the height of the bridge is 47.52 meters.
• ANSWER:
47.52 meters.
A beaker contains 0.42 L of water. The beaker's volume is ___ milliliters.
Answer:
ans is 420ml
Explanation:
0.42L×1000ml
420ml
Assuming the earth is a uniform sphere of mass M and radius R, show that the acceleration of free fall at the earth's surface is given by g=GM/R^2
use Newton's gravitational law and 2nd law .....
The maximum speed of a child on a swing is 6 m/s. What is the
maximum height of the child on the swing relative to her lowest
height on the swing?
The maximum height of the child on the swing relative to her lowest height is determined by the conservation of mechanical energy, where the maximum height can be calculated using the maximum speed. Hence, the maximum height of the child on the swing relative to her lowest height is approximately 1.84 meters.
When a child is on a swing, the total mechanical energy is conserved, assuming negligible air resistance. The mechanical energy is the sum of the kinetic energy (KE) and the potential energy (PE). At the highest point of the swing, the kinetic energy is zero, as the child comes to a momentary stop before changing direction. At the lowest point of the swing, the potential energy is zero, as it is fully converted into kinetic energy.
Since the maximum speed is given as 6 m/s, this represents the maximum kinetic energy of the child on the swing. At the highest point, all the kinetic energy is converted into potential energy. Therefore, the maximum height can be calculated using the conservation of energy equation:
KE_max = PE_max
1/2 mv^2 = mgh_max
Simplifying the equation, we can solve for h_max:
h_max = (v^2) / (2g)
Substituting the given values, where v = 6 m/s and g is the acceleration due to gravity (approximately 9.8 m/s^2), we can calculate the maximum height:
h_max = (6^2) / (2 * 9.8) ≈ 1.84 meters
Therefore, the maximum height of the child on the swing relative to her lowest height is approximately 1.84 meters.
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a heavy rifle initially at rest fires a light bullet. part a which of the following statements about these objects is true? a. the bullet and rifle both gain the same magnitude of momentum. b. the bullet and rifle are both acted upon by the same average force during the firing. c. the bullet and rifle both have the same acceleration during the firing. d. the bullet and the rifle gain the same amount of kinetic energy. which of the following statements about these objects is true? a. the bullet and rifle both gain the same magnitude of momentum. b. the bullet and rifle are both acted upon by the same average force during the firing. c. the bullet and rifle both have the same acceleration during the firing. d. the bullet and the rifle gain the same amount of kinetic energy. a c a, b c, d
The bullet and rifle both gain the same magnitude of momentum. The correct answer is option A.
In this case, the rifle and bullet are initially at rest and after firing, they move in opposite directions with equal magnitudes of momentum. Therefore, the momentum gained by the bullet is equal in magnitude and opposite in direction to that gained by the rifle, and hence the total momentum of the system remains constant.
The average force acting on the bullet and rifle during the firing is not necessarily the same, as it depends on factors such as the mass and acceleration of the bullet and rifle, and the duration of the firing. Similarly, the acceleration of the bullet and rifle can be different, depending on their masses and the forces acting on them during the firing. Finally, the kinetic energy gained by the bullet and rifle is not necessarily the same, as it depends on their masses and velocities after the firing. Hence, the correct answer is option A.
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A Toddler got up from a nap and ran for 7.0 seconds and got tired and stopped on the spot. from beginning to end she was accelerating at 0.24m/s^2. What has her change in velocity in metres per second
The toddler's change in velocity in metres per second is 1.68 m/s
To answer the question, we need to know what acceleration is
What is aceleration?Acceleration is the change in velocity of an object with time. It is given by
a = Δv/Δt where
Δv = change in velocity and Δt = change in time The toddler's change in velocityMaking Δv subject of the formula, we have
Δv = aΔt
Since the toddler's accleration is 0.24 m/s² and got up from a nap and ran for 7.0 seconds,
a = 0.24 m/s² and Δt = 7.0 sSubstituting the values of the variables into the equation, we have
Δv = aΔt
Δv = 0.24 m/s² × 7.0 s
Δv = 1.68 m/s
So, the toddler's change in velocity in metres per second is 1.68 m/s
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A scientist observes a geyser erupting. Which objects must be interacting beneath the surface? Select two options. Well spring magma groundwater unsaturated zone.
Well spring magma and groundwater must be interacting beneath the surface which is why they geyser is erupting.
A scientist observes a geyser erupting. The two objects that must be interacting beneath the surface are well spring magma and groundwater.
When a geyser is erupting, it involves the interaction of groundwater and well spring magma. The groundwater seeps into the earth's crust, where it gets heated by the well spring magma. Once the water reaches a certain temperature, it turns into steam and expands, causing pressure to build up. Eventually, this pressure forces the heated water and steam to the surface, resulting in the eruption of the geyser.
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If the launch speed of the rock from the tower in the previous question were doubled, what would happen to the time it takes to hit the ground?
If the launch speed of the rock from the tower is doubled, the time it takes to hit the ground would be halved.
This is because the launch speed and the time it takes to hit the ground are inversely proportional.
To explain this further, let's use the formula for the vertical displacement of a projectile:
y = v0yt - (1/2)gt2
Where y is the vertical displacement, v0y is the initial vertical velocity (or launch speed), t is the time, and g is the acceleration due to gravity.
If we double the launch speed (v0y), the equation becomes:
y = 2v0yt - (1/2)gt2
Since we want to find the time it takes to hit the ground, we can set y to 0 and solve for t:
0 = 2v0yt - (1/2)gt2
(1/2)gt2 = 2v0yt
t = (2v0y)/((1/2)g)
t = (4v0y)/g
As you can see, the time is now half of what it was before the launch speed was doubled. Therefore, if the launch speed of the rock is doubled, the time it takes to hit the ground is halved.
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if a car has 3000 j of kinetic energy,how much PE does it have when it reached the top of a hill
Answer:
3000 ke
Explanation:
Gretchen is proposing to present the sales from her lemonade stand as a pie chart, tracking how much she sells each day to track the overall trend. Explain why this plan won’t work and what she could use instead.
Consider the kind of job you imagine yourself having when you are in your 40s. Choose two examples of ePortfolio appropriate content for someone in that position.
Provide an example of a situation or scenario where a spreadsheet would benefit from the implementation of the SUM function.
Provide an example of a scenario or situation where including a hyperlink to another spreadsheet would make sense.
The plan to present the sales from her lemonade stand as a pie chart may not work because a pie chart is used to show how a whole unit is divided into parts.
What is pie chart?A pie chart is a circular statistical graphic divided into slices to show numerical proportion. The arc length of each slice in a pie chart is proportional to the quantity it represents.
Because a pie chart is used to show how a whole unit is divided into parts, her plan to present the sales from her lemonade stand may not work.
The whole unit in this case is the total sales for a specific time period (e.g., a week), and the parts are the amount of lemonade sold each day.
Example ePortfolio content for someone in a future job:
Presentation skillsProject managementExample scenario where the SUM function would benefit a spreadsheet:
A budgeting spreadsheet with different categories for expenses, such as housing, transportation, and food.Example scenario where including a hyperlink to another spreadsheet would make sense:
A sales report that includes data for multiple regions or departments. Each region or department could have its own spreadsheet with more detailed data, and a hyperlink could be included in the main report to easily access this additional information.Thus, this can be concluded regarding the given scenario.
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The blank
is the organ responsible for cleaning a person's blood.
What two things must you know to describe the motion of an object?
Both the direction and the speed of an object's motion must be included when describing motion. You also have to reveal its location at a specific time.
What are some ways to describe how an object moves?Position, direction, speed, and acceleration are used to characterise an object's motion. Motion is the gradual alteration of a body's position or orientation. Translational motion is defined as the movement of an object along a line or a curve.
Which two numbers are appropriate to use when describing motion?Scalars or vectors are the two types of variables that are typically employed to describe motion. A quantity whose magnitude and direction may both be used to fully describe it is referred to as a vector. Any quantity whose magnitude alone can adequately explain it is referred to as a scalar.
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Suppose you are on a cart, initially at rest, which rides on a frictionless horizontal track. If you throw a ball off the cart towards the left, will the cart be put into motion?.
If you throw a ball off the cart towards the left then the cart will move to the left .
How the cart moved to the left and what phenomena was into consideration?The cart is initially at rest, but then rides on a frictionless horizontal track.Throwing a ball towards the left will obviously put the cart into motion.The cart will start moving in left because the ball was thrown left.To balance the momentum of the ball in the opposite direction the cart started moving towards the left.The phenomena to understand this is the law of conservation of momentum.To know more about momentum and conservation visit:
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According to the theory of plate tectonics, the lithosphere is separated into sections that are called tectonic plates. These plates move in different directions in response to the forces in Earth’s mantle beneath them. Which of the following correctly matches the plate movement with its description?
convergent boundary; plates move away from one another causing rift valleys and the formation of new crustal material
transform boundary; plates slide past one another in opposite directions causing the formation of faults and earthquakes
divergent boundary; as the plates come together gravity pushes the edge of one plate underneath the edge of a neighboring plate
subduction zone; as the plates come together increased pressure causes the plates to fault and fracture leading to the formation of mountains
Answer:
The correct answer is - transform boundary; plates slide past one another in opposite directions causing the formation of faults and earthquakes.
Explanation:
If the continental or oceanic plates slide past one another either in the same direction or in opposition direction forms the transform fault boundary. Due to this tectonic plate formation, no new crust is formed or subducted, but earthquake activities forms.
Convergent boundaries forms by pushing the edge of one plate underneath the other while coming together whereas plates move away from one another causing rift valleys called divergent boundary.
Q3. A plane has reached cruising altitude at 36,000ft. What is the density of O
2
at that height, relative to sea-level? Assume that temperatures do not differ with increased altitude. (3 points)
The density of O2 at cruising altitude, relative to sea-level, is approximately 0.379 times the density at sea-level.
The density of O2 at cruising altitude of 36,000ft, relative to sea-level, can be calculated using the relationship between pressure and altitude. At higher altitudes, the pressure decreases, which affects the density of gases.
To find the density of O2 at cruising altitude, we can compare the pressure at that height to the pressure at sea-level. The pressure decreases with altitude, so we need to determine the ratio of the pressures.
Assuming the temperature does not differ with increased altitude, we can use the ideal gas law equation:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
At sea-level, the pressure is around 1 atmosphere (atm). At cruising altitude, the pressure is lower. The relationship between pressure and altitude can be approximated using the barometric formula:
\(P = P0\cdot e^(-h/H)\)
where P0 is the pressure at sea-level, e is the base of the natural logarithm, h is the altitude, and H is the scale height.
In this case, we can substitute the given values: P0 = 1 atm, h = 36,000ft, and H = 8,400ft (approximately).
Using the barometric formula, we can calculate the pressure at cruising altitude:
\(P = 1 atm \cdot e^(-36,000ft/8,400ft)\)
P ≈ 0.379 atm
Now, to find the density of O2 at cruising altitude relative to sea-level, we can use the ideal gas law. The number of moles remains constant, so we can compare the densities using the ratio of the pressures:
Density at cruising altitude / Density at sea-level = Pressure at cruising altitude / Pressure at sea-level
Density at cruising altitude / Density at sea-level = 0.379 atm / 1 atm
Density at cruising altitude / Density at sea-level ≈ 0.379
Therefore, the density of O2 at cruising altitude, relative to sea-level, is approximately 0.379 times the density at sea-level.
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Suppose the position of an object moving in a straight line is given by s(t)=2t 2+5t+5. Find the instantaneous velocity when t=2. The instantaneous velocity at t=2 is
The instantaneous velocity at t=2 is 21 units per second.
To find the instantaneous velocity, we need to take the derivative of the position function with respect to time.
Given s(t) = 2t^2 + 5t + 5, taking the derivative with respect to t, we get:
v(t) = d(s(t))/dt = d(2t^2 + 5t + 5)/dt
v(t) = 4t + 5
To find the instantaneous velocity at t=2, substitute t=2 into the velocity function:
v(2) = 4(2) + 5 = 8 + 5 = 13 units per second
Therefore, the instantaneous velocity at t=2 is 13 units per second.
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In a certain viscous ( SAE 30), incompressible flow field with zero body forces the velocity components are
u=ay - b(cy-y^2); V= W= 0;
where a = 5; b = 779 [1/(s m)], and c are constant. Use the Navier - Stokes equations to determine an expression for the pressure gradient in the x direction [Pa/m].
An expression for the pressure gradient in the x direction a - bc = 0,c = - 0.006418.
As given ρ = c
Momentum in x,
ρ \(\frac{du}{dt}\) = ρ gx - \(\frac{dp}{dx}\) + μ (\(\frac{d^2u}{dy^2}\) + \(\frac{d^2u}{dy^3}\) + \(\frac{d^u}{dz^2}\))
u = ay - b(y - \(y^{2}\))
dp/dx = 2bμ
T = 0, du/dy = 0
a - bc = 0
c = - 0.006418
The pressure gradient, which is a physical term used in atmospheric science to indicate the direction and rate at which pressure rises most quickly around a certain site, is normally defined as being of air, although it can also more broadly refer to any fluid momentum. Pascals per meter (Pa/m) is a dimensional unit used to express the pressure gradient. The gradient of pressure as a function of position is what it is mathematically referred to as. The force density is the name for the negative gradient of pressure.
Pressure gradients in petroleum geology and petrochemical sciences relevant to oil wells, and more especially in hydrostatics, refer to the gradient of vertical pressure in a column of fluid within a wellbore and are often stated in pounds per square inch per foot (psi/ft)
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During times of dire emergency, people have been known to lift tremendous weights, such as the rear of a car to free someone trapped underneath. Is greater power necessary to perform such feats versus lifting the same car using a jack?
Explain
Answer:
Yes, greater power is necessary to lift a car with your own body in a dire emergency situation than it would be to lift the same car using a jack.
Explanation:
This is because lifting the car with your body requires a combination of strength, power, and speed, all of which must be generated by your muscles. In contrast, a jack is a tool that uses hydraulic pressure to lift the car, which requires much less effort on your part.
When lifting a car with your body, you are essentially performing a squat or deadlift with an extremely heavy weight. This requires your muscles to produce a tremendous amount of force to overcome the weight of the car and gravity, as well as to generate the speed and power necessary to lift the car quickly and effectively.
In addition, lifting a car with your body requires you to use multiple muscle groups simultaneously, including your legs, back, arms, and core. This makes it a very taxing exercise that can quickly fatigue your muscles and potentially lead to injury if not performed correctly.
In contrast, using a jack to lift a car requires minimal effort on your part, as the hydraulic pressure does the majority of the work. This means that you do not need to generate as much force, speed, or power with your muscles, and can avoid the risk of injury or fatigue associated with lifting the car with your body.
Overall, lifting a car with your body is a remarkable feat that requires a tremendous amount of strength, power, and speed. While it can be done in dire emergency situations, it should not be attempted unless absolutely necessary, and only by individuals who are properly trained and physically capable of performing the lift safely.
When one substance is converted into another, there is always an associated conversion T/F?
True, One form of energy is constantly turned into another when one substance is transformed into another.
Define energy.
Energy is the ability to do work. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another.
The process of converting energy from one form to another is called energy transformation or energy conversion. Electrical energy can be produced from chemical energy. Heat energy can be produced from thermal energy. Electrical energy, potential energy, etc. can be created from mechanical energy.
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