ANSWER
c. The same current in all branches of the circuit
EXPLANATION
Parallel circuits have the form,
As we can see, they do have many branches or pathways for the electric current, but all branches have the same voltage - which is equal to the voltage of the source, but the current of each branch depends on the load, so they do not have the same current in all branches.
The main advantage is that the circuit keeps working even if one or more of the loads or resistors are disconnected, so they can be used independently.
Studying children's interactions by watching them play on the school playground is
an example of
a survey.
naturalistic observation.
a case study.
a single-blind study.
Answer:
a survey
Explanation:
how kids like the playground or they do not like it at all
A candle is sitting in front of a concave mirror at a distance of 18.0 cm. It is found that an image of the ca
25.0 cm. What is the focal length of the mirror?
03.52 cm
07.50 cm
O 10.4 cm
022.1 cm
Answer:
The focal length of the mirror is 10.4 cm.
Explanation:
The object distance ( d₀ ) ( distance of the candle from the mirror) is -18 cm.The Image distance ( dᵢ ) ( distance of the image from the mirror) is -25.0 cm.The mirror equation is 1/f = 1/d₀ + 1/dᵢ.So substitute the values of object distance and image distance in the mirror equation,
1/f = 1/(-18cm) + 1/(-25.0cm)
1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)
1/f = ( -25cm - 18cm)/(18cm x 25cm)
1/f = -43.0/450.0
f = -10.4651 cm.
The focal length of the mirror is approximately -10.4 cm.
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A 0.55 kg basketball moving 6.3 m/s to the right collides with a 0.06 kg tennis
ball moving 35 m/s to the left. After the collision, the tennis ball is moving
39.5 m/s to the right. What is the velocity of the basketball after the collision?
Assume an elastic collision occurred.
A. 1.8 m/s to the right
B. 14.4 m/s to the left
C. 14.4 m/s to the right D. 1.8 m/s to the left
Answer:
1.8 ms to the left
Explanation:
Answer:1.8 ms to the left
Explanation:
Where is the electric field between a charged balloon and a charged piece of paper 0.04 m away?
A. The electric field is in the region around the balloon and paper where there are outside charges that affect them.
B. The electric field is in the 0.04 m distance between the balloon and paper and not anywhere else around either the paper or the balloon.
C. The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.
D. The electric field is in the region in which the forces come in contact.
The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.
What is electric field?An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.
Thus, for the charged balloon and a charged piece of paper 0.04 m away, we can conclude that, the electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.
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Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next
Answer: Hope this helps ;) don't forget to rate this answer !
Explanation:
There are two correct answers:
A) A corporation leader makes direct payment to the candidate.
D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.
Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.
Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.
I hope this helps! Let me know if you have any other questions.
The mass of the planet Mars is 6.39 x 10^23 kg. Using Newton's Law of Gravitation, calculate the force of gravity between the planet Mars and the 74 kg Mars Rover drone on the surface if the distance between the center of Mars and surface is 2129.9 km. Show all work.
Need it ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
F = 695.25 N
Explanation:
The force between Mars and Rover can be given by Newton's Law of Gravitation can be written as follows:
F = Gm₁m₂/r²
where,
F = Force of Gravity = ?
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
m₁ = mass of rover = 74 kg
m₂ = mass of mars = 6.39 x 10²³ kg
r = distance between the centers of mars and rover = 2.1299 x 10⁶ m
Therefore,
F = (6.67 x 10⁻¹¹ N.m²/kg²)(74 kg)(6.39 x 10²³ kg)/(2.1299 x 10⁶ m)²
F = 695.25 N
A ball is Thrown straight up with a speed of 30 M/S, and air resistance is negligible what is its velocity after 4.2s
Answer:
11.2 m/s
Explanation:
We need to first figure out how long it took to reach the ball's max height:
Vf = 0
Vi = 30 m/s
a = -9.81 m/s^2
t = ?
---------------
Vf = Vi + at
0 = 30 + (-9.81)t ---> -30 = -9.81t ---> 3.058 = t
t = 3.058 s
---------------
We can now solve the problem by subtracting the given time (4.2s) by the max height time (3.058s) and plugging that into a kinematic equation for Vf:
Vi = 0
a = 9.81 m/s^2
t = (4.2s - 3.058s) = 1.142 s
Vf = ?
---------------
Vf = Vi + at
Vf = 0 + (9.81)*(1.142) ---> Vf = 11.203
---------------
The velocity of the ball after 4.2s is 11.2 m/s
what is formulae method
Answer:
Explanation:
The formula method is used to calculate termination payments on a prematurely ended swap, where the terminating party compensates the losses borne by the non-terminating party due to the early termination.
abody is projected verticall dawn ward with the velocity 5m/sec from height of 60m . its time of decents
The time of descent if a body is projected vertically dawn ward with a velocity of 5 m/sec from a height of 60 m is 3 seconds.
What is velocity?When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time.
If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.
Given:
The velocity, u = 5 m / sec,
The height of the body, s = 60 m,
We know that,
\(s = ut + 1/2at^2\)
Here t is the time of descent and a is the gravitational acceleration.
Substitute the values,
60 = 5 × t + 1/2 × 9.8 × t²,
4.9t² + 5t - 60 = 0
Solve for the value of t we get,
x = 3.02607
x = −4.04647, but time cannot be negative,
Therefore, the time of descent if a body is projected vertically dawn ward with a velocity of 5 m/sec from a height of 60 m is 3 seconds.
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answer fast plz
....................
Answer:
114 m/s
Explanation:
see the image below
A wave of frequency 13000Hz travel 1300m in 4.0 seconds, what is the wavelength of the wave
Explanation:
v = 1300/ 4
v = 325m/s
wavelength = 325/13000
=0.025 m
Select four of the following that would increase the magnetic field of an electromagnet
Answer:
The correct answers are: A, C, D, E
Explanation:
The magnetic field is a solenoid is given by
B = μ₀ \(\frac{N}{L}\) I
where N is the number of turns, I the current and L length of the solenoid.
Using this equation let's examine the different responses to permute increasing the magnetic field
A) True. a thicker wire decreases the resistance and the current can increase the system.
B) False. If there is no voltage source there is no current in the system
C) True. the field is proportional to the number of turns
D) True. the magnetic moments of the core align with the field increasing its value
E) True. When the loops are closer together, more of them can fit per unit length
F) False. If the wire is shorter the number of turns decreases.
The correct answers are: A, C, D, E
What is the difference between 3.15 m and 2.0 m with the correct number of significant figures?
1. 1m
2. 1.2m
3. 1.150m
4.1.15m
Along with the answer, give a reason why it is that answer( example, “ I took the same test as you and got 100”)
Answer:
1.2
Explanation:
took the test :)
The difference between 3.15 m and 2.0 m with the correct number of significant figures would be 1.15m, therefore the correct answer is option 3.
What are significant figures?In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.
As given in the problem we have to find the difference between 3.15 m and 2.0 m with the correct number of significant figures,
Difference = 3.15 meters - 2.0 meters
=1.15 meters
Thus, with the right amount of significant figures, the difference between 3.15 m and 2.0 m would be 1.15 m, hence option 3 is the correct response.
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It requires 350 joules to raise a certain amount of a
substance from 10.0°C to 30.0°C. The specific heat of
the substance is 1.2 J/g°C.
Q. What is the mass of the substance?
12g
15g
18g
30g
Answer:
Mass of matter:
m = 15 g
Explanation:
Given:
Q =350 J
t₁ = 10.0°C
t₂ = 30.0°C
c = 1,2 J / (g·°C)
______________
Q -?
Required energy:
Q =c·m·(t₂ - t₁)
Mass of matter:
m = Q / (c·(t₂ - t₁))
m= 350 / (1.2·(30.0 - 10.0)) = 350 / 24 ≈ 15 g
Answer:
15 g
Explanation:
Specific Heat Capacity
\(\large\boxed{\Delta E_t=m \times c \times \Delta \theta}\)
Where:
\(\Delta E_t\) = Change in thermal energy measured in joules (J).m = Mass measured in kilograms (kg).c = Specific heat capacity measured in joules per kilogram per degree Celsius (J/kg°C)\(\Delta \theta\) = Temperature change measured in degrees Celsius (°C).Given:
\(\Delta E_t = 350\; \sf J\)\(c = 1.2\; \sf J/g^{\circ}C\)\(\Delta \theta = 30^{\circ} \sf C-10^{\circ} C=20^{\circ} C\)As the specific heat capacity is given in J/g°C, the temperature is given in °C, and the mass is in grams, no conversion of units is necessary.
Substitute the values into the formula and solve for m:
\(\begin{aligned}\Delta E_t & =m \times c \times \Delta \theta\\\implies 350 & = m \times 1.2 \times 20\\350 & = 24m\\m & = \dfrac{350}{24}\\m & =14.58333...\; \sf g\end{aligned}\)
Therefore, the mass of the substance is 15 g (nearest whole number).
The stars of the milky way are all near a great circle on the celestial sphere. This great circle.
On the celestial sphere, a large circle contains all of the Milky Way's stars. This enormous circle is known as the milky circle. The Milky Way Galaxy is a massive spiral structure with several hundred billion stars, including the sun.
What is the Milky way galaxy?The Milky Way galaxy, which contains our solar system, gets its name from how it appears in the night sky from Earth: a hazy strip of light made up of stars that are too close together to be seen separately.
What are Stars?An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth. Other stars are also visible at night with the unaided eye, but because of their great distances from Earth, they appear as stationary points of light.
Hence, On the celestial sphere, a large circle contains all of the Milky Way's stars. This enormous circle is known as the milky circle. The Milky Way Galaxy is a massive spiral structure with several hundred billion stars, including the sun.
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A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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In Asch's study referenced above, answer the following questions: How is the principle of conformity examined? When and why do you think the subject in the experiment began to "second guess" himself? What are some of the circumstances in the experiment which contribute to “conformity”? Why do you think some participants would be more likely to conform than others? There are many reasons why people conform. Were you ever in a situation where you had to conform? Why did you feel the need to conform?
In Asch's study referenced above, all the questions are answered below.
What is principle of conformity ?It states that conformity to land use objective contributes to economic stability in a residential community.
In areas that were not developed all at once or not well planned, individuals purchase vacant lots and set about building on their own homes. These areas suffer from the not having sense of conformity.
Asch measured number of times each individual has conformed to the majority views. About 32% of individual participated who were placed and conformed with incorrect majority. Over 12 critical trials, 75% of individuals conformed at least once and 25% never conformed.
The reason for individuals to participate is because they have been interviewed after the experiment. Most of the people did not believe in conforming. They still go along due to group fear of being ridiculed. Some believed the group's answers were not correct.
There were two reasons to conform, one is to fit in the group and believed the groups are better informed than they are.
When compared, mostly the answers are found to be incorrect and not satisfying and conformity has increased.
The more difficult is the task, one goes for conformity. When an individual is allowed to answer in private, the conformity decreases.
There is a need to conform because there are fewer groups not so powerful as there is no fear of any rejection.
Thus, all the questions are answered.
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study island genticsBelow is a Punnett square for the color of a hybrid rose. The allele y is for dark yellow and the allele Y is for pale yellow.
Y y
y Yy yy
y Yy yy
If a rose with the genotype Yy is pale yellow in color, which alelle is dominant?
A.
dark yellow, y
B.
dark yellow, Y
C.
pale yellow, Y
D.
pale yellow, y
If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).
What is incomplete dominance?Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.
Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.
Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.
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Need help with this
Explanation:
See image for definitions....look at the units and fill the blanks appropriatly
A point charge q1=2 μC is at the center of a conductive sphere of 0.5 m radius, which is connected to earth.
a) Find the value of the electric field in every region of space What is the strength of the field at a point above the surface? of the sphere.
b) What is the flow of the electric field due to charge? Point through the surface of the sphere? Will the response of the Previous point if the charge is not in the center of the sphere?
Answer:
Explanation:ans:0 . Because when we connect this conductive sphare with earth then all charge will be gone in earth
With a current shunt, the current is obtained by measuring _____ across the current shunt and calculating using Ohm's Law
With a current shunt, the current is obtained by measuring voltage across the current shunt and calculating using Ohm's Law.
A current shunt is a device that is used to measure electric current. It is a small resistor placed in parallel with the load (or the element being measured), that creates a known small voltage drop proportional to the current flowing through it.
By measuring this voltage drop and using Ohm's law, the current flowing through the shunt (and the load) can be calculated. Current shunts are commonly used in high-current applications, such as in power plants, electrical distribution systems, and electric vehicles.
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With a current shunt, the current is obtained by measuring the voltage drop across the current shunt and calculating using Ohm’s Law. A current shunt is a device that creates a low-resistance path for electric current, to allow it to pass around another point in the circuit. In current measuring, shunts allow the measurement of high current values by placing a resistor of low, known resistance in parallel with a voltmeter.
A magnetic field is the area around a magnet where it's force can be felt. Magnetic fields are invisible. How did part 1 of the Procedure and Data section provide evidence that magnetic fields exist?
Part 1
1. Tape one magnet to a smooth, flat surface. Place the other magnet on that surface 10 cm away, oriented so that its north pole is facing the south pole of the other magnet. Slowly push the free magnet toward the magnet that it taped down.
The Procedure and Data section provides evidence that magnetic fields exist by demonstrating the force exerted by a magnetic field on a nearby object. In this experiment, two magnets are used, and one magnet is taped down on a smooth.
What are magnets ?A magnet is an object that produces a magnetic field, which is a force that can attract or repel certain materials, such as iron, nickel, and cobalt. Magnets have two poles, called the north pole and the south pole, which are opposite in nature and attract each other, while like poles repel each other. This property of magnets is used in various applications, such as electric motors, generators, magnetic storage devices, and compasses. Magnets can be either natural, such as lodestone, or artificial, such as magnets made from iron, nickel, cobalt, or other magnetic materials.
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Where do you find the atoms with the strongest metallic properties on the periodic table?A. the upper leftB. the lower rightC. the lower leftD. The lower right
Given:
The atoms with the strongest metallic properties
To find:
The position of the strongest metallic properties
Explanation:
Metallic character decreases as you move across a period in the periodic table from left to right. This occurs as atoms more readily accept electrons to fill a valence shell than lose them to remove the unfilled shell. Metallic character increases as you move down an element group in the periodic table.
Hence, the strongest metallic properties are found in the lower left.
Two objects of equal mass are a distance of 5.0 m apart and attract each other with a gravitational force of 3.0 x 10^-7 N find their mass.
A) 150 kg
B) 9.8 kg
C) 11.000 kg
D) 340 kg
Answer
I Think Its 150
What statement about galaxies is true?A. Spiral galaxies have a galactic bulge in its center.B. Barred galaxies from when one galaxy orbits another.C. Round galaxies are new galaxies just starting to form.
Option A is correct.
The spiral galaxy is in a spiral shape that has a bulge at the center, and it is surrounded by the spiral arms. The central bulge is formed due to the presence of old stars. The spiral galaxy starts with this galactic bulge.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!pls
A car traveling 85 km/h is 250 m behind a truck
traveling 73 km/h.
Time needed = t = 20.83 s
Further explanationGiven
car speed = 85 km/h
truck speed = 73 km/h
Required
the time it takes for the car to reach the truck
Solution
When the car reaches the truck, the distance between them will be the same
x car - 250 m = x truck
General formula for distance (d) :
d = v.t
So the equation becomes :
85t-250 = 73t
12t=250
t = 20.83 s
4. Consider a 1 kg block is on a 45° slope of ice. It is connected to a 0.4 kg block by a cable
and pulley. Does the 1 kg block move or down the slope? What is the net force on it and
its acceleration? (8 pts)
If an icy surface means no friction, then Newton's second law tells us the net forces on either block are
• m = 1 kg:
∑ F (parallel) = mg sin(45°) - T = ma … … … [1]
∑ F (perpendicular) = n - mg cos(45°) = 0
Notice that we're taking down-the-slope to be positive direction parallel to the surface.
• m = 0.4 kg:
∑ F (vertical) = T - mg = ma … … … [2]
Adding equations [1] and [2] eliminates T, so that
((1 kg) g sin(45°) - T ) + (T - (0.4 kg) g) = (1 kg + 0.4 kg) a
(1 kg) g sin(45°) - (0.4 kg) g = (1.4 kg) a
==> a ≈ 2.15 m/s²
The fact that a is positive indicates that the 1-kg block is moving down the slope. We already found the acceleration is a ≈ 2.15 m/s², which means the net force on the block would be ∑ F = ma ≈ (1 kg) (2.15 m/s²) = 2.15 N directed down the slope.
1)Answer the following question in sort
a)Define pressure ?
b)What is the value of standard atmospheric pressure?
c)Mention any one application of liquid pressure in our daily life?
d)Mention in the name of the instruments used to measure the pressure of compressed air?
e)Which instrument is used to measure atmospheric pressure ?
f)What is the unit of compressed air?
g)Define standard atmospheric pressure?
h)Which property of liquid is applicable in water supply system in cities?
i)Which property of liquid supports to use in it in hydraulic machine?
2)Answer the following questions in detail a)Define atmospheric pressure? Prove the presence of atmospheric pressure with the help of an activity?
b)Derive that P=dgh?
c)Describe the structure and working method of mercury barometer briefly?
d)Enlist any three points to show the importance of atmospheric pressure?
e)Enlist any four application of liquid pressure?f)Mention any three events occurred in our daily life which are directly related with pressure?
1)a) Pressure is the force exerted per unit area, measured in units such as pascals (Pa) or pounds per square inch (psi).
b) The value of standard atmospheric pressure is approximately 101.3 kilopascals (kPa) or 1 atmosphere (atm).
c) One application of liquid pressure in our daily life is in hydraulic systems, like car brakes, where liquid pressure is used to transmit force and amplify it.
d) The instruments used to measure the pressure of compressed air include pressure gauges or manometers.
e) An instrument called a barometer is used to measure atmospheric pressure.
f) The unit of compressed air is typically measured in pounds per square inch (psi) or pascals (Pa).
g) Standard atmospheric pressure is the pressure exerted by the Earth's atmosphere at sea level. It is approximately equal to 1 atm or 101.3 kPa.
h) The property of liquid that is applicable in water supply systems in cities is its ability to flow and exert pressure, allowing water to be distributed through pipes and reach different levels in buildings.
i) The property of liquid that supports its use in hydraulic machines is its incompressibility, allowing it to transmit force and energy effectively.
2) a)Atmospheric pressure is the force exerted by the weight of the Earth's atmosphere on a surface.
b) The equation P = dgh. This equation can be derived by considering the weight of the fluid column and the force it exerts on a unit area at the base.
c) A mercury barometer consists of a glass tube filled with mercury, inverted into a dish of mercury. The mercury in the tube adjusts its height based on the atmospheric pressure.
d) The importance of atmospheric pressure can be seen in its role in weather patterns, maintaining the balance of gases in the atmosphere, and facilitating breathing for humans and animals.
e) Applications of liquid pressure include hydraulic systems in machinery, such as lifts and cranes, hydraulic brakes in vehicles, and water towers for maintaining water pressure in buildings.
f) Events in daily life directly related to pressure include inflating a balloon, using a bicycle pump to inflate tires, and squeezing toothpaste out of a tube.
1)a) Pressure is defined as the force per unit area. Its unit in the S.I system is newtons per square meter (N/m²) or Pascal (Pa).
b) The value of standard atmospheric pressure at sea level is 101.3 kPa (kilopascals) or 1 atm (atmosphere). c) Liquid pressure has numerous applications in our daily life, but one of the most common ones is the hydraulic braking system used in cars.
d) An instrument used to measure the pressure of compressed air is called a pressure gauge. e) An instrument used to measure atmospheric pressure is called a barometer.
f) The unit of compressed air is generally psi (pounds per square inch).
g) Standard atmospheric pressure is the pressure exerted by the atmosphere at sea level and is equal to 101.3 kPa or 1 atm.
h) The property of liquids that is applicable in water supply systems in cities is their incompressibility. i) The property of liquids that supports their use in hydraulic machines is their incompressibility.
2)a) Atmospheric pressure is defined as the force per unit area exerted by the weight of the atmosphere on the surface. It is proven with the help of the following activity: Take a glass full of water and place a cardboard over it. Hold the cardboard tight and invert the glass. The water will not spill out of the glass, which is because the atmospheric pressure is greater on the cardboard than the pressure inside the glass.
b) The pressure exerted by a fluid can be derived using P = dgh, where P is the pressure, d is the density, g is the acceleration due to gravity, and h is the height of the fluid column.
c) A mercury barometer is made up of a glass tube that is closed at one end and filled with mercury. The tube is inverted and placed in a container of mercury. The pressure of the atmosphere on the open surface of the container forces the mercury in the tube to rise to a height that is proportional to the atmospheric pressure.
d) The importance of atmospheric pressure can be explained by the following points: it enables breathing, regulates the weather, and causes the ocean tides.
e) Some applications of liquid pressure include hydraulic brakes in cars, hydraulic lifts, and hydraulic jacks.
f) Some events that are directly related to pressure include gas escaping from a pressurized container, balloons being inflated, and soda cans being opened.
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QUESTION 5 (Start on a new page.) A block of mass 4 kg starting from rest, at point A, slides down an inclined plane of length 3 m as shown in the diagram below. The plane is inclined by an angle of 30° to the ground. The coefficient of kinetic friction (p) is 0,2 on the inclined plane 5.2 4 kg 5.3 3 m. 30 At the bottom of the inclined plane, at point B, the object slides along a rough horizontal surface experiencing a kinetic frictional force of 19.6 N until it comes to rest at point C 5.1 B State the work-energy theorem in words. Draw a labelled free-body diagram for the block as it slides down the incline. Calculate the: 5.3.1 Kinetic frictional force the block experiences on the incline 5.3.2 Magnitude of the velocity of the block at point B 5.3.3 Distance that the object will slides on the rough horizontal surface until it stops (2) (3) (4) (5) (4) [18]
1 Therefore, the kinetic frictional force experienced by the block on the incline is 6.784 N.
2 The magnitude of the velocity of the block at point B is approximately 5.11 m/s.
How to calculate the value1. The formula for the kinetic frictional force is given by f = μN, where μ is the coefficient of kinetic friction and N is the normal force. Since the block is on an incline, the normal force can be calculated as N = mg * cos(θ), where θ is the angle of inclination.
N = 4 kg * 9.8 m/s² * cos(30°) = 33.92 N
f = 0.2 * 33.92 N
= 6.784 N
2. Potential energy at point A = mgh, where h is the vertical height of the incline.
Potential energy at point A = 4 kg * 9.8 m/s² * 3 m * sin(30°)
= 58.8 J
The work done by friction is given by W = f * d, where d is the distance traveled along the incline (3 m).
Work done by friction = 6.784 N * 3 m = 20.352 J
Since the work done by friction is negative (opposite to the direction of motion), the total work done on the block is:
Total work = Potential energy at A - Work done by friction
Total work = 58.8 J - 20.352 J = 38.448 J
According to the work-energy theorem, this work done on the block is equal to the change in its kinetic energy. Therefore, we have:
38.448 J = 0.5 * 4 kg * B²
Solving for B, we find:
B = √(38.448 J / (0.5 * 4 kg)) ≈ 5.11 m/s
Therefore, the magnitude of the velocity of the block at point B is approximately 5.11 m/s.
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