The correct answer is true.
Over 80% of persons in the US regularly drink caffeine. Given that the majority of tasks we engage in in daily life involve complex decision-making, motor processing, and movement, this review investigates the effects of coffee on cognitive and physical function. By inhibiting adenosine receptors, caffeine produces its effects. Caffeine has positive benefits on alertness, vigilance, attention, response time, and attention at low (40 mg or 0.5 mg kg1) to moderate (300 mg or 4 mg kg1) doses, but fewer consistently positive effects are shown on memory and higher-order executive function, such as judgement and decision-making.
Following doses above around 200 mg (3 mg kg1), effects on physical performance are noticeable for a wide range of physical performance metrics, including time-to-exhaustion, time-trial, muscle strength and endurance, and high-intensity sprints typical of team sports. To succeed, maintain workplace safety, and increase productivity, many jobs, including the military, first responders, transport workers, and factory shift employees, require optimal physical and cognitive function. Repeated caffeine administration is a successful method to sustain physical and cognitive capacities in these conditions, which may include little sleep.
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please give the answer of mass of electron in physics
Answer:
electron, lightest stable subatomic particle known. It carries a negative charge of 1.602176634 × 10−19 coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is 9.1093837015 × 10−31 kg, which is only 1/1,836the mass of a proton.
Explanation:
I hope this will be helpful for you.
4. Summarize the patterns of sensory and perceptual development in infancy.
The physical stimulation of the sense organs is known as sensation. The act of mentally classifying, interpreting, analyzing, and integrating stimuli from the senses and the brain is known as perception.
The sensory world of a baby is not as stable and clear as our own as adults. The infant's capacity for the environment's sensory and perceptual development happens day by day.Babies begin to group sounds into intricate patterns. From the moment of birth and even before, infants hear. Infants start to show a sense of musical phrasing between 4 and 7 months.Infants are able to differentiate almost all of the sounds used in human languages, and they prefer listening to human speech to other sounds.Humans rely on vision more than any other sense when it comes to investigating their environment.Even very young infants have a highly developed sense of smell, and some 12- to 18-day-old babies can recognize their mothers just by smell.Therefore, sensory and perceptual development is very necessary in infants.
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A patient is weighted by a scale on a deep-sloped floor part. The reading is the component of weight perpendicular to the slop. The reading is ___ the true weight.
A- more than
B- half of
C- less than
D- the same as
Answer:
Measuring a patient's body weight can be done to Assess and monitor fluid and nutrition status as part of a nutrition screening tool. Calculate drug doses. Calculate nutrition and fluid support if required. Monitor the effectiveness of nutritional support.
Explanation:
A laptop battery has an emf of 11.4 V. The laptop uses 0.60 A while running. By how much does the electric potential energy of this charge increase as it moves through the battery? I know the charge per second is 0.60 C.
The electric potential energy of this charge increase as it moves through the battery is 6.84 J.
What is electric potential energy?The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy. The energy gained when an object moves against an electric field is known as the electric potential energy. The electric potential is calculated for any charge by dividing the potential energy by the charge.
Emf of the battery = 11.4 V
Current used = 0.60 A
Current = Charge / Time
The charge per second is 0.60 C. Therefore, the electric potential energy will be:
U = qv
U = Current used × Emf
U = 0.60 × 11.4
U = 6.84 J
Therefore, the electric potential energy of this charge increase as it moves through the battery is 6.84 J.
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Question 1
Describe the motion of an object that is being affected by the four (4)
components of forces on a solid surface, in water and in air.
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12pt v Paragraph
30 pts
BIUA 2
2
T² :
|
When I started exercising consistently in my late 30s, I experienced firsthand the profound effects exercise has on both the body and the brain. Honestly, these realizations completely changed my inspiration to go to a recovery center.
It started when a powerboat tripped in Peru's mighty Cotahuasi Channel in one of the deepest valleys on earth. On this voyage, I found that although I was healthy, I was not as healthy as my relatives in the channel rafters.
There was a 16-year-old on a school trip who had more endurance than me, and a 60-year-old who had more endurance than me. I realized I had to take care of business. you are balanced These forces cancel each other out and the motion of the bodies they act on remains unchanged.
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Force has four components: its magnitude, its direction, point of application, and course of action.
A force acting on an item causes it to change shape or size, to move, to stop moving, to accelerate or decelerate. When two things come in contact, they exert a force on each other that is equal in size but opposing in direction.
Magnitude: The magnitude of the applied force is proportional to the object's mass and displacement. The greater the mass of the body, the greater the magnitude of the force used to push or pull it. The standard unit for force magnitude is named after Isaac Newton. As a result, the SI unit is N, newton.Direction: The force is acting in the same direction as the item. When the interaction ends, the force is no longer felt by the two objects. The force is directed perpendicular to the motion of the object. Forces arise exclusively as a result of contact.Point of application: The point of application is a weighted average position determined by the amount of force exerted. If the force were uniform, that would be the center. Because it isn't, and it's stronger closer to the long wire, the point will be shifted somewhat to the left of the center.Line of action: A force's path of action F denotes the geometric depiction of how force is exerted. It is the line that passes through the location where force is applied in the same direction as the vector F.Learn more about Force here:
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A cart moving across a level surface accelerates
uniformly at 1.0 meter per second² for 2.0
seconds. What additional information is
required to determine the distance traveled by
the cart during this 2.0-second interval?
The initial velocity of the cart.
Newton, There can be a mass is four.080, So acceleration might be equal to 2.50 m in step with cent within the rectangular. Initial is that amount that relies upon total mass. The greater mass the more inertia. So Mass is 2000 kg and acceleration is 3 ms square. So this offers us an internet pressure identical to 6000 newtons or 6.0 and 210 to the power
In case you roll a ball, it initially will keep rolling except friction or something else stops it by means of pressure. you could also think about the way that your body maintains transferring ahead when you hit the brake on your bike. Translational Inertia = ma, in which m is the mass, and a is the acceleration of the object. Calculate the rotational inertia or the instant of inertia velocity by way of multiplying the mass of the object with a square of the gap between the item and the axis, the radius of rotation.
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explain newtons law of motion applied in this game
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Newton’s second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction. This law is important in analyzing problems of static equilibrium, where all forces are balanced, but it also applies to bodies in uniform or accelerated motion.
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The first law represented in the game would be the candy. If you blow it, it would move but then stop due to friction.
The second law would be represented by blowing the candy. Since the candy was light, it would be easier to blow but if it was heavier, it would be a lot harder.
The final law represented in the game would be if you decided to blow the candy with a ballon instead, the candy would move the opposite direction the ballon is moving.
A bird glides for 24 minutes and covers 2.6 kilometers. What was its average speed?
Answer:
6.5 km/ h
Explanation:
24 minutes = 24/60 = 0.4 hours
v = 2.6 / 0.4 = 6.5 km/h
Hope this helps
20 pts
A physics teacher has just demonstrated how a certain component in a circuit can cause the electrical current to decrease over time. Which of the following values shows this measurement in the correct SI base units?
amperes per second
candelas per second
moles per minute
amperes per hour
In the SI unit, the quantity could be measured in amperes per second.
What is the resistance?The resistor refers to the opposition that is offered to the flow of current. This opposition to the flow of current is offered by a circuit component that is called the resistor. Technically, any of the circuit components except the cell is able to offer this kind of opposition to the flow of current.
Recall that Ohm's law states that the voltage is directly proportional to the current in the circuit. The constant of proportionality here is the resistor. We can now write;
V = IR
V = voltage
I = current
R = resistance
Note that the SI system is the system that details the correct unit for quantities that is internationally accepted globally. Now from the SI units base, we can see that the resistance could be measured in Amperes per second. This unit is commonly called the ohm.
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As you move along the x axis, what changes?
A. The number of sprouted bean seeds increases.
B. The temperature increases.
C. Both A and B.
D. None of the above.
Answer:
Because the temperature Would Most likey increase And same with the Beans! :D <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
Explanation:
Im pretty sure the answer is A and B
If a falling rock were somehow equipped with a speedometer, what would the speedometer reading on the falling rock be 4.5 seconds after it drops from rest?
How about 8 seconds after it is dropped?
Om/s and 4 m/s
45 m/s and 80 m/s
4.5 m/s and 8 m/s
Answer: 45 m/s and 80 m/s
Explanation:
The acceleration due to gravity on an object is 9.8 m/s^2
Simply multiple this my the the time that it has fallen (in seconds) and this will provide you with its velocity at that time.
(4.5 seconds) (9.8) = 44.1 m/s
(8 seconds) (9.8) = 78.4 m/s
Values are rounded off for the final answer.
slope of distance time graph will always be ?
Answer:
equal to the speed of the object.
Which phrase describes a surface wave?
O a type of electromagnetic wave
O a wave that travels through space
O a wave that moves along the interface of two different materials, like air and water
Answer:
a wave that moves along the interface of two different materials, like air and water
Explanation:
The plates of a parallel-plate capacitor have a separation of 3.34
mm, and each has an area of 10.0 cm². Each plate carries a
charge of magnitude 6.70x10-8 C. The plates are in vacuum.
You may want to review (Page).
For related problemsolving tips and strategies, you may want to
view a Video Tutor Solution of Properties of a parallel-plate
capacitor.
The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .
What is capacitance?Capacitance of a capacitor is a physical property that refers to the ratio of charge store in the parallel plate capacitor to its potential.
What is permittivity constant?Vacuum permittivity, commonly denoted ε₀, is the value of the absolute dielectric permittivity of classical vacuum. It may also be referred to as the permittivity of free space, the electric constant, or the distributed capacitance of the vacuum.
Given:
Charge in the parallel plate capacitor = 670 micro coulomb
Area of the parallel plate capacitor = 10 cm square
Area of separation between plate = 3.34 mm
First we will find the the capacitor in the parallel plate capacitor using its formula.
Capacitance = 2.65 Pico meter
Using the defination of capacitance we have,
Potential of the parallel plate capacitor = capacitance × charge
Potential of the parallel plate capacitor = 670/2.65
Potential of the parallel plate capacitor = 2.52 giga
Therefore, The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .
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The speed of light is 300,000 km/sec. What is the frequency in Hz if the wavelength is λ=0.70 X 10^-6 m?
The frequency in Hz if the wavelength is 0.70 X 10-⁶ m is 4.3 × 10¹⁴ Hz.
How to calculate frequency?The frequency of a wave can be calculated by dividing the velocity of the wave by the wavelength as follows:
f = v/λ
Where;
f = frequency (Hz)v = velocity (m/s)λ = wavelength (m)According to this question, the wavelength of a wave is given as 0.70 X 10-⁶ m. The speed of light is 3.00 × 10⁸ m/s. The frequency can be calculated as follows:
f = 3 × 10⁸m/s ÷ 7 × 10-⁷m
f = 4.3 × 10¹⁴ Hz
Therefore, the frequency in Hz if the wavelength is 0.70 X 10-⁶ m is 4.3 × 10¹⁴ Hz.
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A car travels with an average speed of 58 mph what is this speed in km/h
The average speed in km/h will be 93.342 km/hr for 58 mph.
What is the average speed?Speed is defined as the ratio of distance and time, and average speed is defined as the overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.
Average Speed=[tex]\frac{total distance}{total time}[/tex]
According to the question, the speed is given i.e., 58mph
1 mph=1.61 km/hr
⇒58 mph= 1.61×58
⇒93.342 km/hr
Hence, the speed in km/hr will be 93.342 km/hr for 58 mph.
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Relate what is produced during a
supernova to our lives
Answer:
wow
Explanation:
Answer: iron
Explanation: yw
A 10,000-Ω resistor has a tolerance of 5%. What is the maximum values of this resistor?
The maximum value of the resistance is 105,000 Ω
What is the maximum value of the resistance?
We are given the following properties of the resistor as;
Resistance = 10,000-Ω
Tolerance = 5%
Now, when we say a tolerance of 5%, it means the value of the resistance can only reduce or increase by a maximum of 5%.
Thus;
For a decrease of 5%, we would get the minimum value of the resistance which is;
Minimum value = (100% - 5%) * 10000
Minimum value = 95000 Ω
Then the maximum value of the resistance is;
Maximum Value = (100% + 5%) * 10000
Maximum Value = 105,000 Ω
Thus, the maximum value of the resistance is 105,000 Ω
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pls help i do not understand this and it’s a unit test question is in the picture :))
The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm, 2.05 ± 0.02 cm, and 3.1 ± 0.01 cm long. Its volume and uncertainty is 11.4 ± 0.2 cm³.
What is true value?While doing certain experiments or calculation we can end a less precise value that what actually it's the answer of the experiment, this exact value of the experiment is called true value.
What is uncertainty in physics?In physics uncertainty refers to the possible variation from the true value. Variation is calculated for possible increment in the precision of the result.
These are the rules for doing basic operation on uncertainty :
If you're adding or subtracting quantities with uncertainties, you add the absolute uncertainties.
If you're multiplying or dividing, you add the relative uncertainties.
If you're multiplying by a constant factor, you multiply absolute uncertainties by the same factor, or do nothing to relative uncertainties.
Now in the given question we have to multiply the uncertainty, so we will simply add the relative error.
To find volume of the cubic structure we simply multiply the error free values.
Volume of the cuboid = Length × Breadth × Height
Volume of the cuboid = 1.80 cm × 2.05 cm × 3.10 cm
Volume of the cuboid = 11.4 cm³
Uncertainty in the volume[tex]= \frac{0.01\ cm}{1.80\ cm} \times 100\% + \frac{0.02\ cm}{2.05\ cm} \times 100\% + \frac{0.01\ cm}{3.1\ cm} \times 100\%[/tex]
= (0.55 + 0.97 + 0.32) × 11.4
= 1.84 × 11.4
= 20.976
Now,
δA = Percent Uncertainty / 100%
= 20.976 / 100
= 0.2 cm³
Thus from the above conclusion we can say that Its volume and uncertainty is 11.4 ± 0.2 cm³.
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Robert a stunt man projects himself from a height of 50 m in a horizontal direction he safely lands at a horizontal distance of 100 m calculate the horizontal velocity with which Robert projected himself
The horizontal velocity with which Robert projected himself is v = 31.35m/s.
Equation :Given,
Y = 50m
X = 100m
So, the position function is
Y = -(9.8/2)t²+ 50 = 0
t = 3.19s
Now use speed distance relationship
X = vt
So,
v = X / t
v = 100 / 3.19
v = 31.35m/s
What is the perfect definition of velocity?A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
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Part A: what is the capacitance?
Part B: what is the potential difference between the plates?
Part C: what is the magnitude of the electric field between the plates?
Part A: capacitance = 2.650 × [tex]10^{-12}[/tex] F
Part B: the potential difference between the plates = 2.5250 × 10² V
Part C: the magnitude of the electric field between the plates = 7.56 × [tex]10^{6}[/tex] V/m
What is capacitance?Capacitance is an electrical property of a capacitor. Farad (abbreviated to F), which bears the name of the British physicist Michael Faraday, is the unit of capacitance and measures a capacitor's capacity to store an electrical charge on its two plates. The area of a parallel plate capacitor, A, is measured in square meters. Its capacitance is inversely proportional to the spacing, d, or dielectric thickness, measured in meters, between the two conductive plates.The generalized formula for a parallel plate capacitor's capacitance is given as C= εo*A/d, where stands for the absolute permittivity of the material being utilized as the dielectric. The value of the dielectric constant commonly referred to as the "permittivity of open space," is 8.854 x 10-12 Farads per meter.Given:
distance between plates(d) = 3.34 × [tex]10^{-3}[/tex] m
Area of plates(A) = 10 × [tex]10^{-4}[/tex] m²
Charge(Q) = 6.70 × [tex]10^{-8}[/tex] C
electric constant(εo) = 8.8542× [tex]10^{-12}[/tex] F/m
The capacitance is given by:
C= εo*A/d
= (8.8542× [tex]10^{-12}[/tex] × 10 × [tex]10^{-4}[/tex] )/ 3.34 × [tex]10^{-3}[/tex]
= 2.650 × [tex]10^{-12}[/tex] F
To calculate the Magnitude of the electric field between the plates
⇒ E=σ/εo ,where σ = Q/A
σ = 6.70 × [tex]10^{-8}[/tex] / 10 × [tex]10^{-4}[/tex]
= 6.70 × [tex]10^{-5}[/tex] C[tex]m^{-2}[/tex]
Now, E = 6.70 × [tex]10^{-5}[/tex] / 8.8542× [tex]10^{-12}[/tex]
= 7.56 × [tex]10^{6}[/tex] V/m
To find the potential difference between the plates;
V=E×d
= 7.56 × [tex]10^{6}[/tex] × 3.34 × [tex]10^{-3}[/tex]
= 2.5250 × 10² V
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(a) What must the charge (sign and magnitude) of a 1.45-g particle be for it to
remain stationary when placed in a downward-directed electric field of magnitude 650
N/C?
(b) What is the magnitude of an electric field in which the electric force on a proton is
equal in magnitude to its weight?
The charge is obtained as 2.19 * 10^-5 C the electric field is obtained as 1 * 10^-7 N/C.
What is the charge?We know that the electric field is the created as a result of the presence of one charge close to another. The magnitude of the electric charge that would make the particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 650 N/C is required here.
a) Recall that the eight is also a force and counterbalanced the electric force hence;
W = mg = Eq
mg = Eq
g = 9.8 m/s^2
1.45 * 10^-3 Kg * 9.8 m/s^2 = 650 N/C * q
q = 1.45 * 10^-3 Kg * 9.8 m/s^2/650 N/C
q = 2.19 * 10^-5 C
b) The charge on the proton is 1.6 * 10^-19 while the mass of the proton is 1.67 * 10^-27 Kg
F= 1.67 * 10^-27 Kg * 9.8 m/s^2 = 1.6 * 10^-26 N
The electric field is obtained from; 1.6 * 10^-26 N/1.6 * 10^-19
= 1 * 10^-7 N/C
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I walk 800 meters East, and then turn and walk 1200 meters North. What was my total distance?
Answer:
2,000
Explanation:
Answer: 2000 meters would be the distance you walked, but if you need it in feet, it is 6,561.67979.
Explanation: 1 meter = 3.28 feet.
When a 13- kg k g cart undergoes a 1.4 m/s m / s increase in speed, what is the impulse on the cart? Express your answer to two significant figures and include the appropriate units.
The impulse of the cart is 18.2 kg-m/s
We are required to find the impulse on the cart
It is given to us that mass of cart is 13kg
It is also given that increase in speed is 1.4 m/s
We are required to find the impulse on the cart
Impulse :
Impulse of a body is defined as change in the momentum of the cart.
Impulse I = m(v-u)/t
Now (v-u)/t is the change in speed and it is given to us that there is increase in speed and hence it must be positive.
(v-u)/t = 1.4m/s
Therefore,
Impulse of cart is equal to its change in momentum:
Putting the value of mass in the equation, we get:
I = m(v-u)/t
= 13 x 1.4 = 18.2 kg-m/s
Therefore, the impulse of the cart is 18.2 kg-m/s
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One way to determine the age of Earth is to measure the ratio of certain radioactive elements to their more stable forms. By comparing the amount of the
radioactive form of an object with the stable one, and by knowing how long it takes to turn from one to the other, scientists can estimate the age of the object.
Some people argue that the decay rate has not always been the same and that it can be much faster than scientists have measured in labs.
Nuclear power plants use radioactive elements to produce power because, during the decay process, energy is released.
If scientists are wrong about Earth's age based on radioactive material and the decay rates are really much faster, how would nuclear power plants be affected?
OA. Nuclear fuel would remain useful longer.
OB. The rate of energy release would be higher.
OC. The amount of energy released would be less.
OD. Nuclear fuel would generate less radioactivity.
Answer:
A
Explanation:
Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?
_____ m
After 3 seconds?
_____ m
After 5 seconds?
_____ m
Thank you!!!
The displacement of the object after 1 second, is 3 m.
The displacement of the object after 3 seconds, is 9 m.
The displacement of the object after 5 seconds, is 15 m.
What is displacement?The displacement of an object is the change in the position of the object.
displacement of the object after 1 secondThe displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m
displacement of the object after 3 secondThe displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m
displacement of the object after 5 secondThe displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m
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Hooke's Law Quick Check
6 of 66 of 6 Items
Question
Suppose a 100-gram mass, when attached to a spring, causes the spring to stretch 8 cm.
What would you expect a 25-gram mass to do when attached to the same spring?
(1 point)
Responses
Stretch the spring 4 cm.
Stretch the spring 4 cm.
Stretch the spring 32 cm.
Stretch the spring 32 cm.
Stretch the spring 8 cm.
Stretch the spring 8 cm.
Stretch the spring 2 cm.
(1 point)
When a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.
What is Hook's law?According to the question, when a spring is stretched or compressed, the restoring force generated in the spring (towards its mean position) is directly proportional to the length to which it is stretched or compressed.
Mathematically - F = - Kx
Given is a situation in which a stretch of 8 cm is caused by a 100g mass.
From this, we can write -
Mass [m] = 100 g = 0.1 Kg
Displacement [x] = 8 cm = 0.08 m
According to the question -
We will first find the spring constant [K]. Using Hook's law -
F = -Kx
mg = -Kx
K = - mg/x
K = - (0.1 x 9.8) / 0.08
K = - 12.25 N/m
|K| = 12.25 N/m
Now, when mass [M] = 25g = 0.025 Kg, using Hook's law -
|F| = |- kx| = kx
Mg = 12.25x
x = Mg/12.25
x = (0.025 x 9.8)/12.25
x = 0.02
x = 2 cm
Therefore, when a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.
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A certain net force acting on a 5kg mass produces an acceleration of 2 m/s2 calculate the force
Answer:
10 N
Explanation:
Newton's Second Law equation: Fnet = ma
Assuming no frictional force, plug in the values to get your answer!
Fnet = 5kg x 2m/s^2 = 10 N
A ball rolls off a table with a horizontal velocity of 4 m/s. If it takes 0.5 seconds for the ball to reach the floor, how high above the floor kd tje tabletop? (Use g = 10 m/s^2)
Show work please :)
Answer:
1.25 m
Explanation:
Constant Acceleration Equations (SUVAT)
[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]
When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.
Consider the horizontal and vertical motion of the ball separately.
As the ball rolls off the table with a horizontal velocity only, the vertical component of its initial velocity is zero.
Acceleration due to gravity = 10 ms⁻²
As we need to find the vertical displacement of the ball, resolve vertically, taking ↓ as positive:
[tex]u=0 \quad a=10 \quad t=0.5[/tex]
[tex]\begin{aligned}\textsf{Using} \quad s&=ut+\dfrac{1}{2}at^2\\\\s&=(0)(0.5)+\dfrac{1}{2}(10)(0.5)^2\\s&=0+\dfrac{1}{2}(10)(0.25)\\s&=(5)(0.25)\\ \implies s&=1.25 \; \sf m\end{aligned}[/tex]
Therefore, the vertical displacement of the ball is 1.25 m, and so the table is 1.25 m above the floor.
The intake to a hydraulic turbine (not drawn to scale) installed in a dam is located at an elevation of 10 meters above the turbine exit. Water enters at
20℃ with negligible velocity and exits from the turbine at 10m/s. The water passes through the turbine with no significant changes in temperature or pressure between the inlet and exit, and heat transfer is negligible. The acceleration of gravity is constant at g = 9.81 m/s2. If the power output at a steady state is 500 kW, what is the mass flow rate of water in kg/s?
The mass flow rate of water is 5.146×10³ kg/s
The enthalpy change that occurs during a reaction is the heat that enters or exits the system. A critical factor that determines whether a reaction may occur is whether the enthalpy of the system increases (i.e., because energy is added) or lowers (i.e., because energy is given off).
Elevational difference (Z1-Z2) =15m
V1 = the inlet velocity, V2 = the outlet velocity
Using the equation for steady-state energy Q+m(h1+V2/12+g/z1) =W+m(h2+V22/2+gz2),
m(h1+V21/2+g/z1) m(h2+V22/2+g/z2) =WQ, and m(h1h2+V2/12V22/2+g/z1g/z2) =WQ.
The change in enthalpy and the rate of heat transfer are both zero because the pressure and temperature have barely changed.
m (0−0+0/22−10/22+9.81× (15))
=500×1000m\s
=5.146×10³ kg/s
Learn more about Enthalpy here-
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